diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/LICENSE b/lib/node_modules/@stdlib/math/base/special/besselk1/LICENSE new file mode 100644 index 000000000000..05757b1b8026 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/LICENSE @@ -0,0 +1,209 @@ + + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. Definitions. + + "License" shall mean the terms and conditions for use, reproduction, + and distribution as defined by Sections 1 through 9 of this document. + + "Licensor" shall mean the copyright owner or entity authorized by + the copyright owner that is granting the License. + + "Legal Entity" shall mean the union of the acting entity and all + other entities that control, are controlled by, or are under common + control with that entity. For the purposes of this definition, + "control" means (i) the power, direct or indirect, to cause the + direction or management of such entity, whether by contract or + otherwise, or (ii) ownership of fifty percent (50%) or more of the + outstanding shares, or (iii) beneficial ownership of such entity. + + "You" (or "Your") shall mean an individual or Legal Entity + exercising permissions granted by this License. + + "Source" form shall mean the preferred form for making modifications, + including but not limited to software source code, documentation + source, and configuration files. + + "Object" form shall mean any form resulting from mechanical + transformation or translation of a Source form, including but + not limited to compiled object code, generated documentation, + and conversions to other media types. + + "Work" shall mean the work of authorship, whether in Source or + Object form, made available under the License, as indicated by a + copyright notice that is included in or attached to the work + (an example is provided in the Appendix below). + + "Derivative Works" shall mean any work, whether in Source or Object + form, that is based on (or derived from) the Work and for which the + editorial revisions, annotations, elaborations, or other modifications + represent, as a whole, an original work of authorship. For the purposes + of this License, Derivative Works shall not include works that remain + separable from, or merely link (or bind by name) to the interfaces of, + the Work and Derivative Works thereof. + + "Contribution" shall mean any work of authorship, including + the original version of the Work and any modifications or additions + to that Work or Derivative Works thereof, that is intentionally + submitted to Licensor for inclusion in the Work by the copyright owner + or by an individual or Legal Entity authorized to submit on behalf of + the copyright owner. For the purposes of this definition, "submitted" + means any form of electronic, verbal, or written communication sent + to the Licensor or its representatives, including but not limited to + communication on electronic mailing lists, source code control systems, + and issue tracking systems that are managed by, or on behalf of, the + Licensor for the purpose of discussing and improving the Work, but + excluding communication that is conspicuously marked or otherwise + designated in writing by the copyright owner as "Not a Contribution." + + "Contributor" shall mean Licensor and any individual or Legal Entity + on behalf of whom a Contribution has been received by Licensor and + subsequently incorporated within the Work. + + 2. Grant of Copyright License. Subject to the terms and conditions of + this License, each Contributor hereby grants to You a perpetual, + worldwide, non-exclusive, no-charge, royalty-free, irrevocable + copyright license to reproduce, prepare Derivative Works of, + publicly display, publicly perform, sublicense, and distribute the + Work and such Derivative Works in Source or Object form. + + 3. Grant of Patent License. Subject to the terms and conditions of + this License, each Contributor hereby grants to You a perpetual, + worldwide, non-exclusive, no-charge, royalty-free, irrevocable + (except as stated in this section) patent license to make, have made, + use, offer to sell, sell, import, and otherwise transfer the Work, + where such license applies only to those patent claims licensable + by such Contributor that are necessarily infringed by their + Contribution(s) alone or by combination of their Contribution(s) + with the Work to which such Contribution(s) was submitted. If You + institute patent litigation against any entity (including a + cross-claim or counterclaim in a lawsuit) alleging that the Work + or a Contribution incorporated within the Work constitutes direct + or contributory patent infringement, then any patent licenses + granted to You under this License for that Work shall terminate + as of the date such litigation is filed. + + 4. Redistribution. You may reproduce and distribute copies of the + Work or Derivative Works thereof in any medium, with or without + modifications, and in Source or Object form, provided that You + meet the following conditions: + + (a) You must give any other recipients of the Work or + Derivative Works a copy of this License; and + + (b) You must cause any modified files to carry prominent notices + stating that You changed the files; and + + (c) You must retain, in the Source form of any Derivative Works + that You distribute, all copyright, patent, trademark, and + attribution notices from the Source form of the Work, + excluding those notices that do not pertain to any part of + the Derivative Works; and + + (d) If the Work includes a "NOTICE" text file as part of its + distribution, then any Derivative Works that You distribute must + include a readable copy of the attribution notices contained + within such NOTICE file, excluding those notices that do not + pertain to any part of the Derivative Works, in at least one + of the following places: within a NOTICE text file distributed + as part of the Derivative Works; within the Source form or + documentation, if provided along with the Derivative Works; or, + within a display generated by the Derivative Works, if and + wherever such third-party notices normally appear. The contents + of the NOTICE file are for informational purposes only and + do not modify the License. You may add Your own attribution + notices within Derivative Works that You distribute, alongside + or as an addendum to the NOTICE text from the Work, provided + that such additional attribution notices cannot be construed + as modifying the License. + + You may add Your own copyright statement to Your modifications and + may provide additional or different license terms and conditions + for use, reproduction, or distribution of Your modifications, or + for any such Derivative Works as a whole, provided Your use, + reproduction, and distribution of the Work otherwise complies with + the conditions stated in this License. + + 5. Submission of Contributions. Unless You explicitly state otherwise, + any Contribution intentionally submitted for inclusion in the Work + by You to the Licensor shall be under the terms and conditions of + this License, without any additional terms or conditions. + Notwithstanding the above, nothing herein shall supersede or modify + the terms of any separate license agreement you may have executed + with Licensor regarding such Contributions. + + 6. Trademarks. This License does not grant permission to use the trade + names, trademarks, service marks, or product names of the Licensor, + except as required for reasonable and customary use in describing the + origin of the Work and reproducing the content of the NOTICE file. + + 7. Disclaimer of Warranty. Unless required by applicable law or + agreed to in writing, Licensor provides the Work (and each + Contributor provides its Contributions) on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or + implied, including, without limitation, any warranties or conditions + of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A + PARTICULAR PURPOSE. You are solely responsible for determining the + appropriateness of using or redistributing the Work and assume any + risks associated with Your exercise of permissions under this License. + + 8. Limitation of Liability. In no event and under no legal theory, + whether in tort (including negligence), contract, or otherwise, + unless required by applicable law (such as deliberate and grossly + negligent acts) or agreed to in writing, shall any Contributor be + liable to You for damages, including any direct, indirect, special, + incidental, or consequential damages of any character arising as a + result of this License or out of the use or inability to use the + Work (including but not limited to damages for loss of goodwill, + work stoppage, computer failure or malfunction, or any and all + other commercial damages or losses), even if such Contributor + has been advised of the possibility of such damages. + + 9. Accepting Warranty or Additional Liability. While redistributing + the Work or Derivative Works thereof, You may choose to offer, + and charge a fee for, acceptance of support, warranty, indemnity, + or other liability obligations and/or rights consistent with this + License. However, in accepting such obligations, You may act only + on Your own behalf and on Your sole responsibility, not on behalf + of any other Contributor, and only if You agree to indemnify, + defend, and hold each Contributor harmless for any liability + incurred by, or claims asserted against, such Contributor by reason + of your accepting any such warranty or additional liability. + + END OF TERMS AND CONDITIONS + +DEPENDENCIES & ATTRIBUTION + +The library links against the following external libraries or contains +implementations from the following external libraries, which have their own +licenses: + +* Boost + +Boost Software License - Version 1.0 - August 17th, 2003 + +Permission is hereby granted, free of charge, to any person or organization +obtaining a copy of the software and accompanying documentation covered by +this license (the "Software") to use, reproduce, display, distribute, +execute, and transmit the Software, and to prepare derivative works of the +Software, and to permit third-parties to whom the Software is furnished to +do so, all subject to the following: + +The copyright notices in the Software and this entire statement, including +the above license grant, this restriction and the following disclaimer, +must be included in all copies of the Software, in whole or in part, and +all derivative works of the Software, unless such copies or derivative +works are solely in the form of machine-executable object code generated by +a source language processor. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT +SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE +FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, +ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +DEALINGS IN THE SOFTWARE. diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/README.md b/lib/node_modules/@stdlib/math/base/special/besselk1/README.md new file mode 100644 index 000000000000..41081c736d0c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/README.md @@ -0,0 +1,227 @@ + + +# besselk1 + +> Compute the modified Bessel function of the second kind of order one. + +
+ +The **modified Bessel function of the second kind of order one** is defined as + +```math +K_1(x) = \frac{x}{4} \int_0^\infty e^{-t - x^2/(4t)} \, \frac{dt}{t^2}, \quad x > 0. +``` + + + +
+ + + +
+ +## Usage + +```javascript +var k1 = require( '@stdlib/math/base/special/besselk1' ); +``` + +#### k1( x ) + +Computes the [modified Bessel function of the second kind][modified-bessel-second-kind] of order one at `x`. + +```javascript +var v = k1( 1.0 ); +// returns ~0.6019 + +v = k1( 10.0 ); +// returns ~0.00001865 + +v = k1( Infinity ); +// returns 0.0 +``` + +If `x < 0` or `x` is `NaN`, the function returns `NaN`. + +```javascript +var v = k1( -1.0 ); +// returns NaN + +v = k1( -Infinity ); +// returns NaN + +v = k1( NaN ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var besselk1 = require( '@stdlib/math/base/special/besselk1' ); + +var opts = { + 'dtype': 'float64' +}; +var x = uniform( 100, 0.0, 100.0, opts ); + +logEachMap( 'besselk1(%lf) = %lf', x, besselk1 ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/besselk1.h" +``` + +#### stdlib_base_besselk1( x ) + +Computes the [modified Bessel function of the second kind][modified-bessel-second-kind] of order one at `x`. + +```c +double out = stdlib_base_besselk1( 0.0 ); +// returns Infinity + +out = stdlib_base_besselk1( 1.0 ); +// returns ~0.6019 +``` + +The function accepts the following arguments: + +- **x**: `[in] double` input value. + +```c +double stdlib_base_besselk1( const double x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/besselk1.h" +#include + +int main( void ) { + const double x[] = { 0.0, 1.0, 2.0, 3.0, 4.0 }; + + double y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_besselk1( x[ i ] ); + printf( "besselk1(%lf) = %lf\n", x[ i ], y ); + } +} +``` + +
+ + + +
+ + + + + +
+ +* * * + +## See Also + +- [`@stdlib/math/base/special/besselk0`][@stdlib/math/base/special/besselk0]: compute the modified Bessel function of the second kind of order zero. +- [`@stdlib/math/base/special/besselj0`][@stdlib/math/base/special/besselj0]: compute the Bessel function of the first kind of order zero. +- [`@stdlib/math/base/special/besselj1`][@stdlib/math/base/special/besselj1]: compute the Bessel function of the first kind of order one. +- [`@stdlib/math/base/special/bessely1`][@stdlib/math/base/special/bessely1]: compute the Bessel function of the second kind of order one. + +
+ + + + + +
+ +[modified-bessel-second-kind]: https://en.wikipedia.org/wiki/Bessel_function#Modified_Bessel_functions:_I%CE%B1,_K%CE%B1 + + + +[@stdlib/math/base/special/besselk0]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/besselk0 + +[@stdlib/math/base/special/besselj0]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/besselj0 + +[@stdlib/math/base/special/besselj1]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/besselj1 + +[@stdlib/math/base/special/bessely1]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/bessely1 + + + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/benchmark.js new file mode 100644 index 000000000000..dc838737e52f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/benchmark.js @@ -0,0 +1,54 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var k1 = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + // Avoid x = 0 where K1 diverges: + x = uniform( 100, 1.0e-6, 100000.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = k1( x[ i % x.length ] ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/benchmark.native.js new file mode 100644 index 000000000000..90bdfae65089 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/benchmark.native.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var format = require( '@stdlib/string/format' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var k1 = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( k1 instanceof Error ) +}; + + +// MAIN // + +bench( format( '%s::native', pkg, opts ), function benchmark( b ) { + var x; + var y; + var i; + + // Avoid x = 0 where K1 diverges: + x = uniform( 100, 1.0e-6, 100000.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = k1( x[ i % x.length ] ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/Makefile new file mode 100644 index 000000000000..979768abbcec --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/benchmark.c new file mode 100644 index 000000000000..789cab23c645 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/benchmark.c @@ -0,0 +1,149 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/** +* Benchmark `besselk1`. +* +* ## Notes +* +* * We assume the [GNU C library][2], which provides additional exotic functions. +* +* [1]: http://en.cppreference.com/w/c/numeric/math +* [2]: https://www.gnu.org/software/libc/manual/html_node/Special-Functions.html +*/ + +#include "stdlib/math/base/special/besselk1.h" +#include +#include +#include +#include + +#define NAME "besselk1" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmark results. +* +* @param elapsed elapsed time in seconds +*/ +static void print_results( double elapsed ) { + double rate = (double)ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec / 1.0e6; +} + +/** +* Generates a random number on the interval (0, 1]. +* +* @return random number +*/ +static double rand_double( void ) { + int r = rand(); + return ( (double)r + 1.0 ) / ( (double)RAND_MAX + 1.0 ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + double x[ 100 ]; + double elapsed; + double y; + double t; + int i; + + // Generate positive inputs; avoid zero where K1 diverges: + for ( i = 0; i < 100; i++ ) { + x[ i ] = rand_double() * 100.0; + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_besselk1( x[ i % 100 ] ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i + 1 ); + } + print_summary( REPEATS, REPEATS ); + return 0; +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/native/Makefile new file mode 100644 index 000000000000..979768abbcec --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..2ca162d468f4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/c/native/benchmark.c @@ -0,0 +1,142 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/** +* Benchmark `besselk1`. +*/ + +#include "stdlib/math/base/special/besselk1.h" +#include +#include +#include +#include + +#define NAME "besselk1" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); // TAP plan + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmark results. +* +* @param elapsed elapsed time in seconds +*/ +static void print_results( double elapsed ) { + double rate = (double)ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec / 1.0e6; +} + +/** +* Generates a random number on the interval (0,1]. +* +* @return random number +*/ +static double rand_double( void ) { + int r = rand(); + return ( (double)r + 1.0 ) / ( (double)RAND_MAX + 1.0 ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + double x[ 100 ]; + double elapsed; + double y; + double t; + int i; + + // Generate positive inputs; avoid zero where K1 diverges: + for ( i = 0; i < 100; i++ ) { + x[ i ] = rand_double() * 100000.0; + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_besselk1( x[ i % 100 ] ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::native::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i + 1 ); + } + print_summary( REPEATS, REPEATS ); + return 0; +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/julia/REQUIRE new file mode 100644 index 000000000000..98645e192e41 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +BenchmarkTools 0.5.0 diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/julia/benchmark.jl b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/julia/benchmark.jl new file mode 100644 index 000000000000..c5c64d0e3021 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/julia/benchmark.jl @@ -0,0 +1,138 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import BenchmarkTools +using Printf +using SpecialFunctions + +# Benchmark variables: +name = "besselk1"; +repeats = 3; + +""" + print_version() + +Prints the TAP version. + +# Examples + +``` julia +julia> print_version() +``` +""" +function print_version() + @printf( "TAP version 13\n" ); +end + +""" + print_summary( total, passing ) + +Print the benchmark summary. + +# Arguments + +* `total`: total number of tests +* `passing`: number of passing tests + +# Examples + +``` julia +julia> print_summary( 3, 3 ) +``` +""" +function print_summary( total, passing ) + @printf( "#\n" ); + @printf( "1..%d\n", total ); # TAP plan + @printf( "# total %d\n", total ); + @printf( "# pass %d\n", passing ); + @printf( "#\n" ); + @printf( "# ok\n" ); +end + +""" + print_results( iterations, elapsed ) + +Print benchmark results. + +# Arguments + +* `iterations`: number of iterations +* `elapsed`: elapsed time (in seconds) + +# Examples + +``` julia +julia> print_results( 1000000, 0.131009101868 ) +``` +""" +function print_results( iterations, elapsed ) + rate = iterations / elapsed + + @printf( " ---\n" ); + @printf( " iterations: %d\n", iterations ); + @printf( " elapsed: %0.9f\n", elapsed ); + @printf( " rate: %0.9f\n", rate ); + @printf( " ...\n" ); +end + +""" + benchmark() + +Run a benchmark. + +# Notes + +* Benchmark results are returned as a two-element array: [ iterations, elapsed ]. +* The number of iterations is not the true number of iterations. Instead, an 'iteration' is defined as a 'sample', which is a computed estimate for a single evaluation. +* The elapsed time is in seconds. + +# Examples + +``` julia +julia> out = benchmark(); +``` +""" +function benchmark() + t = BenchmarkTools.@benchmark besselk( 1, rand() * 100000.0 + eps() ) samples=1_000_000 + + # Compute the total elapsed time (convert from ns to seconds): + s = sum( t.times ) / 1.0e9; + + # Determine the number of "iterations": + iter = length( t.times ); + + [ iter, s ]; +end + +""" + main() + +Run benchmarks. +""" +function main() + print_version(); + for i in 1:repeats + @printf( "# julia::%s\n", name ); + results = benchmark(); + print_results( results[ 1 ], results[ 2 ] ); + @printf( "ok %d benchmark finished\n", i ); + end + print_summary( repeats, repeats ); +end + +main(); diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/python/scipy/benchmark.py b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/python/scipy/benchmark.py new file mode 100644 index 000000000000..5d2086cd8486 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/python/scipy/benchmark.py @@ -0,0 +1,84 @@ +#!/usr/bin/env python +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +# + +"""Benchmark scipy.special.k1.""" + +from __future__ import print_function +import timeit + +NAME = "besselk1" +REPEATS = 3 +ITERATIONS = 1000000 + + +def print_version(): + """Print the TAP version.""" + print("TAP version 13") + + +def print_summary(total, passing): + """Print the benchmark summary.""" + print("#") + print("1.." + str(total)) # TAP plan + print("# total " + str(total)) + print("# pass " + str(passing)) + print("#") + print("# ok") + + +def print_results(elapsed): + """Print benchmark results.""" + rate = ITERATIONS / elapsed + + print(" ---") + print(" iterations: " + str(ITERATIONS)) + print(" elapsed: " + str(elapsed)) + print(" rate: " + str(rate)) + print(" ...") + + +def benchmark(): + """Run the benchmark and print benchmark results.""" + setup = ( + "from scipy.special import k1; " + "from random import random;" + ) + # Avoid zero where K1 diverges: + stmt = "y = k1(random()*100000.0 + 1e-12)" + + t = timeit.Timer(stmt, setup=setup) + + print_version() + + for i in range(REPEATS): + print("# python::scipy::" + NAME) + elapsed = t.timeit(number=ITERATIONS) + print_results(elapsed) + print("ok " + str(i + 1) + " benchmark finished") + + print_summary(REPEATS, REPEATS) + + +def main(): + """Run the benchmark.""" + benchmark() + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/r/DESCRIPTION b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/r/DESCRIPTION new file mode 100644 index 000000000000..6896ff7efd1f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/r/DESCRIPTION @@ -0,0 +1,9 @@ +Package: besselk1-benchmarks +Title: Benchmarks +Version: 0.0.0 +Authors@R: person("stdlib", "js", role = c("aut","cre")) +Description: Benchmarks. +Depends: R (>=4.5.0) +Imports: + microbenchmark +LazyData: true diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/r/benchmark.R b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/r/benchmark.R new file mode 100644 index 000000000000..75ee29486581 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/benchmark/r/benchmark.R @@ -0,0 +1,84 @@ +#!/usr/bin/env Rscript +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +# + +# Set the precision to 16 digits: +options( digits = 16L ) + +#' Run benchmarks. +#' +#' @examples +#' main() +main <- function() { + # Define benchmark parameters: + name <- 'besselk1' + iterations <- 1000000L + repeats <- 3L + + #' Print the TAP version. + print_version <- function() { + cat( 'TAP version 13\n' ) + } + + #' Print the TAP summary. + print_summary <- function( total, passing ) { + cat( '#\n' ) + cat( paste0( '1..', total, '\n' ) ) + cat( paste0( '# total ', total, '\n' ) ) + cat( paste0( '# pass ', passing, '\n' ) ) + cat( '#\n' ) + cat( '# ok\n' ) + } + + #' Print benchmark results. + print_results <- function( iterations, elapsed ) { + rate <- iterations / elapsed + cat( ' ---\n' ) + cat( paste0( ' iterations: ', iterations, '\n' ) ) + cat( paste0( ' elapsed: ', elapsed, '\n' ) ) + cat( paste0( ' rate: ', rate, '\n' ) ) + cat( ' ...\n' ) + } + + #' Run a benchmark. + benchmark <- function( iterations ) { + results <- microbenchmark::microbenchmark( + besselK( + runif( 1L ) * 100000.0 + .Machine[['double.eps']], + 1L + ), + times = iterations + ) + + elapsed <- sum( results[['time']] ) + elapsed <- elapsed / 1.0e9 + + elapsed + } + + print_version() + for ( i in seq_len( repeats ) ) { + cat( paste0( '# r::', name, '\n' ) ) + elapsed <- benchmark( iterations ) + print_results( iterations, elapsed ) + cat( paste0( 'ok ', i, ' benchmark finished\n' ) ) + } + print_summary( repeats, repeats ) +} + +main() diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/binding.gyp b/lib/node_modules/@stdlib/math/base/special/besselk1/binding.gyp new file mode 100644 index 000000000000..0d6508a12e99 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/besselk1/docs/repl.txt new file mode 100644 index 000000000000..bb51a7d674aa --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/docs/repl.txt @@ -0,0 +1,34 @@ + +{{alias}}( x ) + Computes the modified Bessel function of the second kind of order one. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Function value. + + Examples + -------- + > var y = {{alias}}( 0.0 ) + +Infinity + > y = {{alias}}( 1.0 ) + ~0.6019 + > y = {{alias}}( 5.0 ) + ~0.004045 + > y = {{alias}}( -1.0 ) + NaN + > y = {{alias}}( {{alias:@stdlib/constants/float64/pinf}} ) + 0.0 + > y = {{alias}}( {{alias:@stdlib/constants/float64/ninf}} ) + NaN + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/besselk1/docs/types/index.d.ts new file mode 100644 index 000000000000..10a1116d450d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/docs/types/index.d.ts @@ -0,0 +1,59 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the modified Bessel function of the second kind of order one. +* +* ## Notes +* +* - The function has a pole at `x = 0` (behaves like `1/x`). +* - Accuracy for subnormal `x` is very poor. Full accuracy is achieved at approximately +* `1.0e-308` but degrades rapidly as `x → 0`. +* +* @param x - input value +* @returns evaluated Bessel function +* +* @example +* var v = k1( 0.0 ); +* // returns Infinity +* +* @example +* var v = k1( 1.0 ); +* // returns ~0.6019 +* +* @example +* var v = k1( 5.0 ); +* // returns ~0.004045 +* +* @example +* var v = k1( -1.0 ); +* // returns NaN +* +* @example +* var v = k1( Infinity ); +* // returns 0.0 +* +* @example +* var v = k1( NaN ); +* // returns NaN +*/ +declare function k1( x: number ): number; + +export = k1; diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/besselk1/docs/types/test.ts new file mode 100644 index 000000000000..719c14005e2d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/docs/types/test.ts @@ -0,0 +1,45 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import k1 = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + k1( 8 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + k1( true ); // $ExpectError + k1( false ); // $ExpectError + k1( null ); // $ExpectError + k1( undefined ); // $ExpectError + k1( '5' ); // $ExpectError + k1( [] ); // $ExpectError + k1( {} ); // $ExpectError + k1( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + k1(); // $ExpectError +} + diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/besselk1/examples/c/Makefile new file mode 100644 index 000000000000..c8f8e9a1517b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/besselk1/examples/c/example.c new file mode 100644 index 000000000000..270583e9b975 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/examples/c/example.c @@ -0,0 +1,31 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/besselk1.h" +#include + +int main( void ) { + const double x[] = { 0.5, 1.0, 2.0, 3.0, 4.0 }; + + double y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_besselk1( x[ i ] ); + printf( "besselk1(%lf) = %lf\n", x[ i ], y ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/examples/index.js b/lib/node_modules/@stdlib/math/base/special/besselk1/examples/index.js new file mode 100644 index 000000000000..7f87bdcb706d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/examples/index.js @@ -0,0 +1,32 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var besselk1 = require( './../lib' ); + +var opts = { + 'dtype': 'float64' +}; + +// Generate random values on (0, 100]; avoid zero where K1 diverges: +var x = uniform( 100, 1.0e-6, 100.0, opts ); + +logEachMap( 'besselk1(%lf) = %lf', x, besselk1 ); diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/include.gypi b/lib/node_modules/@stdlib/math/base/special/besselk1/include.gypi new file mode 100644 index 000000000000..bee8d41a2caf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A GYP include file for building a Node.js native add-on. +# +# Main documentation: +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Source directory: + 'src_dir': './src', + + # Include directories: + 'include_dirs': [ + ' 1 + if ( x < LOG_MAX ) { + return ( poly3( 1.0 / x ) + Y_LARGE ) * + exp( -x ) / sqrt( x ); + } + + // overflow-safe + ex = exp( -x * 0.5 ); + return ( poly3( 1.0 / x ) + Y_LARGE ) * + ex / sqrt( x ) * ex; +} + + +// EXPORTS // + +module.exports = k1; diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/lib/native.js b/lib/node_modules/@stdlib/math/base/special/besselk1/lib/native.js new file mode 100644 index 000000000000..d7b791a70408 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/lib/native.js @@ -0,0 +1,62 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Computes the modified Bessel function of the second kind of order one. +* +* @private +* @param {number} x - input value +* @returns {number} evaluated Bessel function +* +* @example +* var v = k1( 0.0 ); +* // returns Infinity +* +* @example +* var v = k1( 1.0 ); +* // returns ~0.6019 +* +* @example +* var v = k1( -1.0 ); +* // returns NaN +* +* @example +* var v = k1( Infinity ); +* // returns 0.0 +* +* @example +* var v = k1( NaN ); +* // returns NaN +*/ +function k1( x ) { + return addon( x ); +} + + +// EXPORTS // + +module.exports = k1; diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p1q1.js b/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p1q1.js new file mode 100644 index 000000000000..84cb2f6dbe03 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p1q1.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the rational function +* @returns {number} evaluated rational function +*/ +function evalrational( x ) { + var ax; + var s1; + var s2; + if ( x === 0.0 ) { + return -0.0036213795344035024; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -0.0036213795344035024 + (x * (0.007118420874903303 + (x * (0.00001003025602566143 + (x * 0.0000017723108538104081))))); // eslint-disable-line max-len + s2 = 1.0 + (x * (-0.048041479442904385 + (x * (0.0009859726419344165 + (x * -0.000008911968593970703))))); // eslint-disable-line max-len + } else { + x = 1.0 / x; + s1 = 0.0000017723108538104081 + (x * (0.00001003025602566143 + (x * (0.007118420874903303 + (x * -0.0036213795344035024))))); // eslint-disable-line max-len + s2 = -0.000008911968593970703 + (x * (0.0009859726419344165 + (x * (-0.048041479442904385 + (x * 1.0))))); // eslint-disable-line max-len + } + return s1 / s2; +} + + +// EXPORTS // + +module.exports = evalrational; diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p2q2.js b/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p2q2.js new file mode 100644 index 000000000000..785ceaa317f0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p2q2.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the rational function +* @returns {number} evaluated rational function +*/ +function evalrational( x ) { + var ax; + var s1; + var s2; + if ( x === 0.0 ) { + return -0.3079657578292062; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -0.3079657578292062 + (x * (-0.07809297036730749 + (x * (-0.0027061934375405164 + (x * -0.000024954952222907202))))); // eslint-disable-line max-len + s2 = 1.0 + (x * (-0.02363168364121631 + (x * (0.00026452457752596274 + (x * -0.0000014974961800416278))))); // eslint-disable-line max-len + } else { + x = 1.0 / x; + s1 = -0.000024954952222907202 + (x * (-0.0027061934375405164 + (x * (-0.07809297036730749 + (x * -0.3079657578292062))))); // eslint-disable-line max-len + s2 = -0.0000014974961800416278 + (x * (0.00026452457752596274 + (x * (-0.02363168364121631 + (x * 1.0))))); // eslint-disable-line max-len + } + return s1 / s2; +} + + +// EXPORTS // + +module.exports = evalrational; diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p3q3.js b/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p3q3.js new file mode 100644 index 000000000000..11591548ea51 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/lib/rational_p3q3.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the rational function +* @returns {number} evaluated rational function +*/ +function evalrational( x ) { + var ax; + var s1; + var s2; + if ( x === 0.0 ) { + return -0.1970280410292263; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -0.1970280410292263 + (x * (-2.3240896154808763 + (x * (-7.982697845076999 + (x * (-2.399684107742216 + (x * (32.83140437808587 + (x * (56.771376115849606 + (x * (33.090778846650984 + (x * (6.625822889337398 + (x * 0.3088518406452867))))))))))))))); // eslint-disable-line max-len + s2 = 1.0 + (x * (14.181140929882611 + (x * (73.59794663175565 + (x * (177.82179393708086 + (x * (211.01450159870598 + (x * (119.42526295106445 + (x * (28.84480643024476 + (x * (2.2791292710413975 + (x * 0.025035818695347867))))))))))))))); // eslint-disable-line max-len + } else { + x = 1.0 / x; + s1 = 0.3088518406452867 + (x * (6.625822889337398 + (x * (33.090778846650984 + (x * (56.771376115849606 + (x * (32.83140437808587 + (x * (-2.399684107742216 + (x * (-7.982697845076999 + (x * (-2.3240896154808763 + (x * -0.1970280410292263))))))))))))))); // eslint-disable-line max-len + s2 = 0.025035818695347867 + (x * (2.2791292710413975 + (x * (28.84480643024476 + (x * (119.42526295106445 + (x * (211.01450159870598 + (x * (177.82179393708086 + (x * (73.59794663175565 + (x * (14.181140929882611 + (x * 1.0))))))))))))))); // eslint-disable-line max-len + } + return s1 / s2; +} + + +// EXPORTS // + +module.exports = evalrational; diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/manifest.json b/lib/node_modules/@stdlib/math/base/special/besselk1/manifest.json new file mode 100644 index 000000000000..8069540e98d4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/manifest.json @@ -0,0 +1,87 @@ +{ + "options": { + "task": "build" + }, + "fields": [ + { + "field": "src", + "resolve": true, + "relative": true + }, + { + "field": "include", + "resolve": true, + "relative": true + }, + { + "field": "libraries", + "resolve": false, + "relative": false + }, + { + "field": "libpath", + "resolve": true, + "relative": false + } + ], + "confs": [ + { + "task": "build", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/napi/unary", + "@stdlib/math/base/special/sqrt", + "@stdlib/math/base/special/exp", + "@stdlib/math/base/special/ln", + "@stdlib/constants/float64/pinf", + "@stdlib/constants/float64/pi", + "@stdlib/constants/float64/ninf" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/special/sqrt", + "@stdlib/math/base/special/exp", + "@stdlib/math/base/special/ln", + "@stdlib/constants/float64/pinf", + "@stdlib/constants/float64/pi", + "@stdlib/constants/float64/ninf" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/special/sqrt", + "@stdlib/math/base/special/exp", + "@stdlib/math/base/special/ln", + "@stdlib/constants/float64/pinf", + "@stdlib/constants/float64/pi", + "@stdlib/constants/float64/ninf" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/package.json b/lib/node_modules/@stdlib/math/base/special/besselk1/package.json new file mode 100644 index 000000000000..542fece12fb9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/package.json @@ -0,0 +1,137 @@ +{ + "name": "@stdlib/math/base/special/besselk1", + "version": "0.0.0", + "description": "Compute the modified Bessel function of the second kind of order one.", + "license": "Apache-2.0 AND BSL-1.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "gypfile": true, + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "include": "./include", + "lib": "./lib", + "scripts": "./scripts", + "src": "./src", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "special", + "bessel", + "k1", + "number" + ], + "__stdlib__": { + "scaffold": { + "$schema": "math/base@v1.0", + "base_alias": "besselk1", + "alias": "besselk1", + "pkg_desc": "compute the modified Bessel function of the second kind of order one for a double-precision floating-point number", + "desc": "computes the modified Bessel function of the second kind of order one for a double-precision floating-point number", + "short_desc": "modified Bessel function of the second kind of order one", + "parameters": [ + { + "name": "x", + "desc": "input value", + "type": { + "javascript": "number", + "jsdoc": "number", + "c": "double", + "dtype": "float64" + }, + "domain": [ + { + "min": 0, + "max": "infinity" + } + ], + "rand": { + "prng": "random/base/uniform", + "parameters": [ + 0.01, + 100 + ] + }, + "example_values": [ + 73.4, + 0.11, + 5.07, + 120.8, + 0.63, + 44.2, + 2.9, + 89.5, + 0.02, + 15.3, + 33.7, + 0.95, + 7.8, + 58.1, + 101.3, + 0.27, + 24.6, + 12.9, + 66.4, + 150.2 + ] + } + ], + "output_policy": "real_floating_point_and_generic", + "returns": { + "desc": "evaluated Bessel function", + "type": { + "javascript": "number", + "jsdoc": "number", + "c": "double", + "dtype": "float64" + } + }, + "keywords": [ + "bessel", + "k1" + ], + "extra_keywords": [] + } + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/scripts/evalrational.js b/lib/node_modules/@stdlib/math/base/special/besselk1/scripts/evalrational.js new file mode 100644 index 000000000000..81c59c91cfdb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/scripts/evalrational.js @@ -0,0 +1,175 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* +* This script compiles modules for evaluating rational functions +* used by the modified Bessel function of the second kind of order one (K1). +* +* If any coefficients change, this script should be rerun. +*/ +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var readFileSync = require( '@stdlib/fs/read-file' ).sync; +var writeFileSync = require( '@stdlib/fs/write-file' ).sync; +var currentYear = require( '@stdlib/time/current-year' ); +var licenseHeader = require( '@stdlib/_tools/licenses/header' ); +var compile = require( '@stdlib/math/base/tools/evalrational-compile' ); +var compileC = require( '@stdlib/math/base/tools/evalrational-compile-c' ); +var substringBefore = require( '@stdlib/string/substring-before' ); +var substringAfter = require( '@stdlib/string/substring-after' ); +var format = require( '@stdlib/string/format' ); + + +// VARIABLES // + +// Small-x rational in a = x²/4 (Boost bessel_k1, 53-bit): +var P1 = [ + -3.62137953440350228e-03, + 7.11842087490330300e-03, + 1.00302560256614306e-05, + 1.77231085381040811e-06 +]; + +var Q1 = [ + 1.00000000000000000e+00, + -4.80414794429043831e-02, + 9.85972641934416525e-04, + -8.91196859397070326e-06 +]; + +// Small-x rational in x² (Boost bessel_k1, 53-bit): +var P2 = [ + -3.07965757829206184e-01, + -7.80929703673074907e-02, + -2.70619343754051620e-03, + -2.49549522229072008e-05 +]; + +var Q2 = [ + 1.00000000000000000e+00, + -2.36316836412163098e-02, + 2.64524577525962719e-04, + -1.49749618004162787e-06 +]; + +// Large-x rational in 1/x (Boost bessel_k1, 53-bit): +var P3 = [ + -1.97028041029226295e-01, + -2.32408961548087617e+00, + -7.98269784507699938e+00, + -2.39968410774221632e+00, + 3.28314043780858713e+01, + 5.67713761158496058e+01, + 3.30907788466509823e+01, + 6.62582288933739787e+00, + 3.08851840645286691e-01 +]; + +var Q3 = [ + 1.00000000000000000e+00, + 1.41811409298826118e+01, + 7.35979466317556420e+01, + 1.77821793937080859e+02, + 2.11014501598705982e+02, + 1.19425262951064454e+02, + 2.88448064302447607e+01, + 2.27912927104139732e+00, + 2.50358186953478678e-02 +]; + +// Header to add to output files: +var header = licenseHeader( 'Apache-2.0', 'js', { + 'year': currentYear(), + 'copyright': 'The Stdlib Authors' +}); +header += '\n/* This is a generated file. Do not edit directly. */\n'; + + +// FUNCTIONS // + +/** +* Inserts a string between two markers in a text. +* +* @private +* @param {string} text - input text +* @param {string} id - marker id +* @param {string} str - string to insert +* @returns {string} modified text +*/ +function insert( text, id, str ) { + var before; + var after; + + before = substringBefore( text, '// BEGIN: '+id ); + after = substringAfter( text, '// END: '+id ); + + return format( '%s// BEGIN: %s\n\n%s\n// END: %s%s', before, id, str, id, after ); +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var fpath; + var copts; + var opts; + var file; + + opts = { + 'encoding': 'utf8' + }; + + // JS evaluators: + fpath = resolve( __dirname, '..', 'lib', 'rational_p1q1.js' ); + writeFileSync( fpath, header + compile( P1, Q1 ), opts ); + + fpath = resolve( __dirname, '..', 'lib', 'rational_p2q2.js' ); + writeFileSync( fpath, header + compile( P2, Q2 ), opts ); + + fpath = resolve( __dirname, '..', 'lib', 'rational_p3q3.js' ); + writeFileSync( fpath, header + compile( P3, Q3 ), opts ); + + // C evaluators (for rational_small, rational_p2q2, rational_large in main.c): + copts = { + 'dtype': 'double', + 'name': '' + }; + fpath = resolve( __dirname, '..', 'src', 'main.c' ); + file = readFileSync( fpath, opts ); + + copts.name = 'rational_p1q1'; + file = insert( file, copts.name, compileC( P1, Q1, copts ) ); + + copts.name = 'rational_p2q2'; + file = insert( file, copts.name, compileC( P2, Q2, copts ) ); + + copts.name = 'rational_p3q3'; + file = insert( file, copts.name, compileC( P3, Q3, copts ) ); + + writeFileSync( fpath, file, opts ); +} + +main(); diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/src/Makefile b/lib/node_modules/@stdlib/math/base/special/besselk1/src/Makefile new file mode 100644 index 000000000000..2caf905cedbe --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/src/addon.c b/lib/node_modules/@stdlib/math/base/special/besselk1/src/addon.c new file mode 100644 index 000000000000..4e8ebd1b9605 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/src/addon.c @@ -0,0 +1,22 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/besselk1.h" +#include "stdlib/math/base/napi/unary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_D_D( stdlib_base_besselk1 ) diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/src/main.c b/lib/node_modules/@stdlib/math/base/special/besselk1/src/main.c new file mode 100644 index 000000000000..133845ed723c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/src/main.c @@ -0,0 +1,224 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +* +* +* ## Notice +* +* The original C++ code and copyright notice are from the +* [Boost library]{@link https://www.boost.org/doc/libs/1_85_0/boost/math/special_functions/detail/bessel_k1.hpp}. +* The implementation has been modified for use in stdlib. +* +* ```text +* Copyright Xiaogang Zhang, 2006. +* +* Use, modification and distribution are subject to the +* Boost Software License, Version 1.0. (See accompanying file +* LICENSE or copy at http://www.boost.org/LICENSE_1_0.txt) +* ``` +*/ + +#include "stdlib/math/base/special/besselk1.h" +#include "stdlib/math/base/special/ln.h" +#include "stdlib/math/base/special/exp.h" +#include "stdlib/math/base/special/sqrt.h" +#include "stdlib/constants/float64/pinf.h" +#include "stdlib/constants/float64/pi.h" + +static const double Y_LARGE = 1.45034217834472656; +static const double Y_SMALL = 8.69547128677368164e-02; +static const double LOG_MAX = 7.097827128933834e+02; // log( DBL_MAX ) + + +/* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ + +// BEGIN: rational_p1q1 + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static double rational_p1q1( const double x ) { + double ax; + double ix; + double s1; + double s2; + if ( x == 0.0 ) { + return -0.0036213795344035024; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -0.0036213795344035024 + (x * (0.007118420874903303 + (x * (0.00001003025602566143 + (x * 0.0000017723108538104081))))); + s2 = 1.0 + (x * (-0.048041479442904385 + (x * (0.0009859726419344165 + (x * -0.000008911968593970703))))); + } else { + ix = 1.0 / x; + s1 = 0.0000017723108538104081 + (ix * (0.00001003025602566143 + (ix * (0.007118420874903303 + (ix * -0.0036213795344035024))))); + s2 = -0.000008911968593970703 + (ix * (0.0009859726419344165 + (ix * (-0.048041479442904385 + (ix * 1.0))))); + } + return s1 / s2; +} + +// END: rational_p1q1 + +// BEGIN: rational_p2q2 + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static double rational_p2q2( const double x ) { + double ax; + double ix; + double s1; + double s2; + if ( x == 0.0 ) { + return -0.3079657578292062; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -0.3079657578292062 + (x * (-0.07809297036730749 + (x * (-0.0027061934375405164 + (x * -0.000024954952222907202))))); + s2 = 1.0 + (x * (-0.02363168364121631 + (x * (0.00026452457752596274 + (x * -0.0000014974961800416278))))); + } else { + ix = 1.0 / x; + s1 = -0.000024954952222907202 + (ix * (-0.0027061934375405164 + (ix * (-0.07809297036730749 + (ix * -0.3079657578292062))))); + s2 = -0.0000014974961800416278 + (ix * (0.00026452457752596274 + (ix * (-0.02363168364121631 + (ix * 1.0))))); + } + return s1 / s2; +} + +// END: rational_p2q2 + +// BEGIN: rational_p3q3 + +/** +* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)). +* +* ## Notes +* +* - Coefficients should be sorted in ascending degree. +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the rational function +* @return evaluated rational function +*/ +static double rational_p3q3( const double x ) { + double ax; + double ix; + double s1; + double s2; + if ( x == 0.0 ) { + return -0.1970280410292263; + } + if ( x < 0.0 ) { + ax = -x; + } else { + ax = x; + } + if ( ax <= 1.0 ) { + s1 = -0.1970280410292263 + (x * (-2.3240896154808763 + (x * (-7.982697845076999 + (x * (-2.399684107742216 + (x * (32.83140437808587 + (x * (56.771376115849606 + (x * (33.090778846650984 + (x * (6.625822889337398 + (x * 0.3088518406452867))))))))))))))); + s2 = 1.0 + (x * (14.181140929882611 + (x * (73.59794663175565 + (x * (177.82179393708086 + (x * (211.01450159870598 + (x * (119.42526295106445 + (x * (28.84480643024476 + (x * (2.2791292710413975 + (x * 0.025035818695347867))))))))))))))); + } else { + ix = 1.0 / x; + s1 = 0.3088518406452867 + (ix * (6.625822889337398 + (ix * (33.090778846650984 + (ix * (56.771376115849606 + (ix * (32.83140437808587 + (ix * (-2.399684107742216 + (ix * (-7.982697845076999 + (ix * (-2.3240896154808763 + (ix * -0.1970280410292263))))))))))))))); + s2 = 0.025035818695347867 + (ix * (2.2791292710413975 + (ix * (28.84480643024476 + (ix * (119.42526295106445 + (ix * (211.01450159870598 + (ix * (177.82179393708086 + (ix * (73.59794663175565 + (ix * (14.181140929882611 + (ix * 1.0))))))))))))))); + } + return s1 / s2; +} + +// END: rational_p3q3 + +/* End auto-generated functions. */ + +/** +* Computes the modified Bessel function of the second kind of order one. +* +* ## Notes +* +* - The function has a logarithmic singularity at `x = 0`. +* - Accuracy for subnormal `x` is poor due to underflow. +* +* @param x input value +* @return evaluated modified Bessel function +* +* @example +* double y = stdlib_base_besselk1( 1.0 ); +* // returns ~0.6019 +*/ +double stdlib_base_besselk1( const double x ) { + double a; + double r; + double ex; + + if ( x < 0.0 ) { + return 0.0 / 0.0; // NaN + } + if ( x == 0.0 ) { + return STDLIB_CONSTANT_FLOAT64_PINF; + } + if ( x == STDLIB_CONSTANT_FLOAT64_PINF ) { + return 0.0; + } + + if ( x <= 1.0 ) { + a = 0.25 * x * x; + a = ( ( rational_p1q1( a ) + Y_SMALL ) * a * a ) + ( 0.5 * a ) + 1.0; + a *= 0.5 * x; + + return ( rational_p2q2( x * x ) * x ) + + ( 1.0 / x ) + + ( stdlib_base_ln( x ) * a ); + } + r = rational_p3q3( 1.0 / x ); + + if ( x < LOG_MAX ) { + return ( r + Y_LARGE ) * + stdlib_base_exp( -x ) / + stdlib_base_sqrt( x ); + } + + /* overflow-safe */ + ex = stdlib_base_exp( -0.5 * x ); + return ( r + Y_LARGE ) * + ex / stdlib_base_sqrt( x ) * ex; +} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..06bfe7391215 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/REQUIRE @@ -0,0 +1,3 @@ +julia 1.5 +JSON 0.21 +SpecialFunctions 0.10.3 diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/large_positive.json new file mode 100644 index 000000000000..52a06fdfa68a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/large_positive.json @@ -0,0 +1 @@ +{"expected":[5.883057969557038e-10,5.846971377889609e-10,5.811106420209941e-10,5.7754617334198e-10,5.740035962816998e-10,5.704827762043717e-10,5.669835793034944e-10,5.63505872596734e-10,5.600495239208317e-10,5.566144019265626e-10,5.532003760737047e-10,5.498073166260526e-10,5.464350946464488e-10,5.43083581991866e-10,5.397526513084992e-10,5.364421760269028e-10,5.331520303571423e-10,5.298820892839968e-10,5.266322285621745e-10,5.234023247115612e-10,5.201922550125055e-10,5.170018975011179e-10,5.13831130964621e-10,5.106798349367084e-10,5.075478896929436e-10,5.044351762461764e-10,5.013415763420069e-10,4.982669724542565e-10,4.952112477804815e-10,4.921742862375003e-10,4.891559724569691e-10,4.861561917809641e-10,4.831748302576043e-10,4.802117746366885e-10,4.772669123653793e-10,4.743401315838938e-10,4.714313211212316e-10,4.685403704909276e-10,4.656671698868232e-10,4.628116101788817e-10,4.5997358290901046e-10,4.571529802869212e-10,4.5434969518600327e-10,4.5156362113924193e-10,4.4879465233514327e-10,4.460426836136951e-10,4.4330761046234236e-10,4.4058932901200404e-10,4.3788773603309944e-10,4.3520272893160573e-10,4.325342057451341e-10,4.298820651390435e-10,4.2724620640256295e-10,4.2462652944494616e-10,4.220229347916504e-10,4.194353235805291e-10,4.168635975580663e-10,4.143076590756168e-10,4.117674110856792e-10,4.092427571381838e-10,4.0673360137681753e-10,4.0423984853535647e-10,4.0176140393403077e-10,3.99298173475903e-10,3.968500636432828e-10,3.944169814941497e-10,3.919988346586066e-10,3.8959553133534674e-10,3.87206980288157e-10,3.848330908424265e-10,3.8247377288168763e-10,3.801289368441752e-10,3.777984937194006e-10,3.754823550447626e-10,3.731804329021632e-10,3.7089263991465303e-10,3.6861888924309105e-10,3.6635909458283624e-10,3.641131701604471e-10,3.618810307304101e-10,3.5966259157187895e-10,3.5745776848544943e-10,3.552664777899384e-10,3.530886363191927e-10,3.50924161418908e-10,3.4877297094348347e-10,3.466349832528779e-10,3.44510117209497e-10,3.423982921750966e-10,3.402994280076991e-10,3.382134450585428e-10,3.361402641690363e-10,3.3407980666773974e-10,3.3203199436735695e-10,3.299967495617589e-10,3.2797399502301296e-10,3.2596365399843785e-10,3.239656502076698e-10,3.2197990783975824e-10,3.2000635155026767e-10,3.180449064584058e-10,3.160954981441601e-10,3.141580526454652e-10,3.1223249645537597e-10,3.103187565192643e-10,3.084167602320313e-10,3.065264354353334e-10,3.0464771041483533e-10,3.027805138974697e-10,3.009247750487187e-10,2.9908042346990854e-10,2.972473891955294e-10,2.9542560269056084e-10,2.936149948478227e-10,2.918154969853325e-10,2.900270408436938e-10,2.88249558583485e-10,2.864829827826761e-10,2.8472724643405076e-10,2.829822829426578e-10,2.81248026123265e-10,2.7952441019783687e-10,2.778113697930259e-10,2.7610883993767467e-10,2.7441675606034493e-10,2.727350539868484e-10,2.710636699378034e-10,2.69402540526197e-10,2.677516027549729e-10,2.661107940146263e-10,2.6448005208081653e-10,2.6285931511199096e-10,2.612485216470318e-10,2.5964761060290887e-10,2.5805652127235143e-10,2.5647519332152933e-10,2.549035667877592e-10,2.5334158207721185e-10,2.517891799626426e-10,2.502463015811329e-10,2.487128884318425e-10,2.471888823737838e-10,2.4567422562360163e-10,2.44168860753372e-10,2.426727306884085e-10,2.411857787050921e-10,2.3970794842870406e-10,2.382391838312788e-10,2.3677942922946485e-10,2.353286292824064e-10,2.3388672898963044e-10,2.3245367368895108e-10,2.3102940905438376e-10,2.2961388109407748e-10,2.2820703614825478e-10,2.2680882088716615e-10,2.254191823090584e-10,2.2403806773815066e-10,2.2266542482263178e-10,2.2130120153266178e-10,2.1994534615838944e-10,2.1859780730797915e-10,2.1725853390565594e-10,2.1592747518975673e-10,2.1460458071079622e-10,2.132898003295415e-10,2.1198308421510576e-10,2.106843828430462e-10,2.093936469934771e-10,2.0811082774919522e-10,2.0683587649381238e-10,2.0556874490990725e-10,2.0430938497718146e-10,2.0305774897063086e-10,2.0181378945872418e-10,2.005774593015999e-10,1.9934871164926722e-10,1.9812749993982237e-10,1.969137778976717e-10,1.957074995317725e-10,1.9450861913387796e-10,1.933170912767974e-10,1.9213287081266233e-10,1.9095591287121037e-10,1.897861728580738e-10,1.8862360645308047e-10,1.8746816960856644e-10,1.8631981854769525e-10,1.851785097627941e-10,1.8404420001369401e-10,1.829168463260837e-10,1.8179640598986997e-10,1.8068283655755515e-10,1.7957609584261693e-10,1.7847614191790317e-10,1.7738293311403222e-10,1.7629642801780977e-10,1.7521658547064835e-10,1.7414336456700195e-10,1.7307672465280443e-10,1.7201662532392563e-10,1.7096302642463014e-10,1.6991588804604782e-10,1.688751705246554e-10,1.6784083444076302e-10,1.668128406170168e-10,1.6579115011690444e-10,1.6477572424327375e-10,1.6376652453685643e-10,1.6276351277480762e-10,1.617666509692473e-10,1.6077590136581565e-10,1.5979122644223272e-10,1.588125889068734e-10,1.5783995169734502e-10,1.568732779790773e-10,1.5591253114391787e-10,1.5495767480874169e-10,1.540086728140634e-10,1.530654892226615e-10,1.521280883182107e-10,1.5119643460391955e-10,1.5027049280118299e-10,1.4935022784823661e-10,1.484356048988231e-10,1.4752658932086367e-10,1.466231466951429e-10,1.457252428139962e-10,1.4483284368000915e-10,1.4394591550472064e-10,1.4306442470734038e-10,1.4218833791346836e-10,1.4131762195382587e-10,1.404522438629903e-10,1.3959217087814415e-10,1.3873737043782577e-10,1.3788781018069038e-10,1.370434579442793e-10,1.3620428176379341e-10,1.3537024987088007e-10,1.3454133069242184e-10,1.337174928493361e-10,1.3289870515537859e-10,1.3208493661595994e-10,1.3127615642696407e-10,1.304723339735767e-10,1.2967343882911904e-10,1.2887944075389216e-10,1.2809030969402497e-10,1.2730601578033115e-10,1.265265293271712e-10,1.2575182083132517e-10,1.2498186097086874e-10,1.2421662060405787e-10,1.2345607076822016e-10,1.2270018267865177e-10,1.2194892772752436e-10,1.2120227748279526e-10,1.2046020368712643e-10,1.1972267825680795e-10,1.1898967328069196e-10,1.182611610191294e-10,1.175371139029156e-10,1.168175045322392e-10,1.161023056756434e-10,1.1539149026898759e-10,1.1468503141441903e-10,1.1398290237934797e-10,1.1328507659543342e-10,1.1259152765757063e-10,1.119022293228875e-10,1.1121715550974665e-10,1.1053628029675156e-10,1.0985957792176377e-10,1.0918702278092054e-10,1.0851858942766279e-10,1.0785425257176494e-10,1.0719398707837601e-10,1.0653776796706184e-10,1.0588557041085602e-10,1.0523736973531414e-10,1.0459314141757783e-10,1.0395286108544051e-10,1.033165045164216e-10,1.0268404763684362e-10,1.0205546652091933e-10,1.0143073738984026e-10,1.0080983661087289e-10,1.0019274069646056e-10,9.957942630332884e-11,9.896987023160011e-11,9.836404942391021e-11,9.776194096453226e-11,9.716352207850413e-11,9.656877013076461e-11,9.597766262529132e-11,9.539017720424661e-11,9.480629164712552e-11,9.422598386991365e-11,9.3649231924246e-11,9.307601399657328e-11,9.25063084073312e-11,9.194009361011883e-11,9.13773481908776e-11,9.081805086707817e-11,9.02621804869113e-11,8.970971602848282e-11,8.916063659901655e-11,8.861492143405868e-11,8.80725498966893e-11,8.753350147673675e-11,8.699775578999988e-11,8.646529257747224e-11,8.593609170457247e-11,8.541013316037794e-11,8.488739705686626e-11,8.436786362815796e-11,8.385151322976596e-11,8.333832633784797e-11,8.282828354846623e-11,8.232136557684888e-11,8.18175532566576e-11,8.131682753925925e-11,8.081916949300125e-11,8.032456030249366e-11,7.983298126789319e-11,7.934441380419319e-11,7.885883944051634e-11,7.837623981941448e-11,7.789659669617014e-11,7.741989193810354e-11,7.694610752388313e-11,7.647522554284182e-11,7.600722819429598e-11,7.554209778686958e-11,7.507981673782057e-11,7.462036757237522e-11,7.416373292306254e-11,7.370989552905509e-11,7.325883823551343e-11,7.281054399293346e-11,7.236499585650018e-11,7.192217698544314e-11,7.148207064239707e-11,7.104466019276518e-11,7.06099291040888e-11,7.017786094541843e-11,6.974843938669002e-11,6.932164819810384e-11,6.889747124950948e-11,6.84758925097921e-11,6.805689604626429e-11,6.764046602405973e-11,6.722658670553337e-11,6.681524244966268e-11,6.640641771145397e-11,6.600009704135218e-11,6.559626508465335e-11,6.51949065809226e-11,6.479600636341403e-11,6.439954935849506e-11,6.400552058507305e-11,6.361390515402788e-11,6.322468826764567e-11,6.28378552190572e-11,6.245339139167865e-11,6.207128225865798e-11,6.16915133823224e-11,6.131407041363054e-11,6.093893909162687e-11,6.056610524290156e-11,6.019555478105126e-11,5.982727370614492e-11,5.94612481041919e-11,5.909746414661341e-11,5.873590808971839e-11,5.837656627418115e-11,5.80194251245231e-11,5.766447114859647e-11,5.7311690937073606e-11,5.6961071162936836e-11,5.6612598580973165e-11,5.626626002727053e-11,5.5922042418719435e-11,5.557993275251536e-11,5.523991810566576e-11,5.490198563449866e-11,5.456612257417629e-11,5.423231623820986e-11,5.390055401797819e-11,5.3570823382249356e-11,5.324311187670427e-11,5.29174071234652e-11,5.259369682062509e-11,5.2271968741781235e-11,5.195221073557036e-11,5.1634410725208636e-11,5.1318556708032597e-11,5.100463675504406e-11,5.0692639010456564e-11,5.0382551691246685e-11,5.007436308670612e-11,4.976806155799762e-11,4.94636355377126e-11,4.916107352943336e-11,4.8860364107296075e-11,4.856149591555737e-11,4.8264457668163706e-11,4.7969238148322385e-11,4.767582620807696e-11,4.7384210767883656e-11,4.7094380816191276e-11,4.6806325409022695e-11,4.6520033669560724e-11,4.623549478773474e-11,4.595269801981089e-11,4.567163268798377e-11,4.539228817997246e-11,4.5114653948617135e-11,4.483871951147931e-11,4.456447445044353e-11,4.4291908411323094e-11,4.402101110346672e-11,4.375177229936816e-11,4.348418183427863e-11,4.3218229605820314e-11,4.2953905573604386e-11,4.2691199758849313e-11,4.2430102244002845e-11,4.217060317236501e-11,4.1912692747715346e-11,4.1656361233940676e-11,4.140159895466609e-11,4.1148396292887355e-11,4.089674369060717e-11,4.0646631648471864e-11,4.03980507254116e-11,4.01509915382817e-11,3.9905444761507494e-11,3.966140112673038e-11,3.9418851422456164e-11,3.91777864937061e-11,3.893819724166906e-11,3.8700074623357335e-11,3.846340965126312e-11,3.8228193393018115e-11,3.7994416971054074e-11,3.776207156226713e-11,3.7531148397682675e-11,3.7301638762123095e-11,3.7073533993876736e-11,3.684682548437039e-11,3.662150467784228e-11,3.6397563071017954e-11,3.617499221278734e-11,3.5953783703885195e-11,3.5733929196571985e-11,3.5515420394317654e-11,3.5298249051487167e-11,3.508240697302742e-11,3.4867886014157234e-11,3.4654678080058195e-11,3.444277512556797e-11,3.423216915487479e-11,3.4022852221215155e-11,3.381481642657202e-11,3.360805392137576e-11,3.340255690420595e-11,3.3198317621496554e-11,3.2995328367241444e-11,3.2793581482702445e-11,3.259306935611909e-11,3.239378442241981e-11,3.219571916293567e-11,3.199886610511511e-11,3.1803217822240856e-11,3.160876693314797e-11,3.1415506101944876e-11,3.1223428037734776e-11,3.1032525494339625e-11,3.0842791270025016e-11,3.065421820722791e-11,3.0466799192284977e-11,3.0280527155163236e-11,3.0095395069191586e-11,2.9911395950795376e-11,2.972852285923109e-11,2.954676889632364e-11,2.936612720620492e-11,2.91865909750537e-11,2.9008153430838032e-11,2.8830807843058215e-11,2.8654547522491904e-11,2.8479365820940404e-11,2.8305256130977228e-11,2.8132211885697418e-11,2.796022655846889e-11,2.7789293662684782e-11,2.7619406751518247e-11,2.745055941767787e-11,2.7282745293165052e-11,2.7115958049032357e-11,2.6950191395144394e-11,2.6785439079939044e-11,2.6621694890190766e-11,2.6458952650775317e-11,2.6297206224435382e-11,2.613644951154875e-11,2.5976676449896776e-11,2.581788101443495e-11,2.566005721706432e-11,2.55031991064052e-11,2.534730076757137e-11,2.5192356321946167e-11,2.5038359926959537e-11,2.4885305775867218e-11,2.473318809753041e-11,2.4582001156197432e-11,2.4431739251286082e-11,2.4282396717168237e-11,2.413396792295496e-11,2.3986447272283304e-11,2.3839829203104448e-11,2.3694108187472664e-11,2.3549278731336557e-11,2.340533537433056e-11,2.32622726895684e-11,2.3120085283437166e-11,2.2978767795393603e-11,2.2838314897760795e-11,2.26987212955265e-11,2.2559981726142374e-11,2.2422090959325184e-11,2.2285043796858403e-11,2.214883507239554e-11,2.201345965126417e-11,2.1878912430272017e-11,2.1745188337513426e-11,2.161228233217734e-11,2.1480189404356566e-11,2.1348904574857703e-11,2.1218422895013228e-11,2.108873944649364e-11,2.0959849341121557e-11,2.0831747720686215e-11,2.0704429756760088e-11,2.0577890650515748e-11,2.0452125632544333e-11,2.0327129962674677e-11,2.020289892979434e-11,2.0079427851670932e-11,1.9956712074775024e-11,1.9834746974103684e-11,1.9713527953005834e-11,1.959305044300797e-11,1.947330990364127e-11,1.9354301822269817e-11,1.9236021713919486e-11,1.9118465121108615e-11,1.900162761367899e-11,1.8885504788628294e-11,1.8770092269943186e-11,1.8655385708434055e-11,1.854138078157017e-11,1.8428073193316226e-11,1.831545867396937e-11,1.820353297999816e-11,1.8092291893881546e-11,1.798173122394951e-11,1.7871846804224064e-11,1.7762634494262043e-11,1.7654090178998137e-11,1.75462097685892e-11,1.743898919825956e-11,1.733242442814694e-11,1.722651144314999e-11,1.7121246252775994e-11,1.701662489099012e-11,1.6912643416065e-11,1.6809297910431995e-11,1.670658448053268e-11,1.6604499256671665e-11,1.65030383928699e-11,1.6402198066719534e-11,1.6301974479239043e-11,1.6202363854729585e-11,1.6103362440631968e-11,1.6004966507384914e-11,1.5907172348283843e-11,1.5809976279340603e-11,1.5713374639144167e-11,1.5617363788721903e-11,1.5521940111402223e-11,1.542710001267753e-11,1.5332839920068363e-11,1.5239156282988e-11,1.5146045572608472e-11,1.5053504281726872e-11,1.4961528924632766e-11,1.487011603697614e-11,1.4779262175636617e-11,1.468896391859307e-11,1.4599217864794244e-11,1.4510020634029898e-11,1.442136886680326e-11,1.433325922420376e-11,1.4245688387780762e-11,1.415865305941812e-11,1.4072149961209225e-11,1.3986175835333295e-11,1.3900727443932024e-11,1.3815801568987151e-11,1.373139501219858e-11,1.3647504594863706e-11,1.3564127157757034e-11,1.3481259561010732e-11,1.3398898683995751e-11,1.3317041425204056e-11,1.3235684702131161e-11,1.3154825451159636e-11,1.3074460627443098e-11,1.299458720479129e-11,1.291520217555551e-11,1.283630255051489e-11,1.2757885358763426e-11,1.2679947647597437e-11,1.260248648240419e-11,1.252549894655075e-11,1.2448982141273807e-11,1.2372933185569857e-11,1.2297349216086552e-11,1.222222738701426e-11,1.214756486997854e-11,1.2073358853933045e-11,1.1999606545053476e-11,1.1926305166631805e-11,1.1853451958971346e-11,1.1781044179282298e-11,1.1709079101578248e-11,1.1637554016572977e-11,1.156646623157806e-11,1.1495813070401126e-11,1.142559187324449e-11,1.1355799996604902e-11,1.1286434813173385e-11,1.1217493711736037e-11,1.1148974097075153e-11,1.1080873389871353e-11,1.1013189026605932e-11,1.0945918459464022e-11,1.0879059156238146e-11,1.0812608600232705e-11,1.0746564290168733e-11,1.0680923740089403e-11,1.0615684479265911e-11,1.0550844052104329e-11,1.0486400018052629e-11,1.0422349951508481e-11,1.0358691441727613e-11,1.0295422092732548e-11,1.0232539523222267e-11,1.0170041366482062e-11,1.0107925270294176e-11,1.004618889684873e-11,9.984829922655624e-12,9.923846038456562e-12,9.863234949137858e-12,9.802994373643556e-12,9.743122044889447e-12,9.68361570967726e-12,9.624473128609557e-12,9.565692076005011e-12,9.507270339814483e-12,9.449205721537294e-12,9.3914960361382e-12,9.334139111964846e-12,9.27713279066559e-12,9.220474927108127e-12,9.164163389298328e-12,9.108196058299726e-12,9.05257082815334e-12,8.997285605798295e-12,8.942338310992601e-12,8.887726876234641e-12,8.833449246684911e-12,8.779503380088593e-12,8.725887246698253e-12,8.672598829197233e-12,8.61963612262331e-12,8.566997134293135e-12,8.514679883726821e-12,8.462682402573176e-12,8.41100273453536e-12,8.359638935296859e-12,8.308589072448221e-12,8.25785122541394e-12,8.207423485379955e-12,8.157303955221457e-12,8.10749074943135e-12,8.057981994048973e-12,8.008775826589315e-12,7.959870395972597e-12,7.91126386245449e-12,7.862954397556536e-12,7.814940183997127e-12,7.767219415622747e-12,7.71979029733995e-12,7.67265104504741e-12,7.625799885568598e-12,7.57923505658482e-12,7.532954806568565e-12,7.486957394717501e-12,7.441241090888633e-12,7.39580417553301e-12,7.350644939630679e-12,7.305761684626316e-12,7.261152722364958e-12,7.216816375028306e-12,7.1727509750712695e-12,7.128954865159146e-12,7.085426398104928e-12,7.042163936807165e-12,6.999165854188031e-12,6.956430533132038e-12,6.913956366424877e-12,6.871741756692756e-12,6.829785116342102e-12,6.788084867499524e-12,6.746639441952376e-12,6.7054472810894515e-12,6.6645068358421875e-12,6.623816566626067e-12,6.583374943282645e-12,6.54318044502168e-12,6.503231560363758e-12,6.463526787083142e-12,6.424064632151192e-12,6.384843611679898e-12,6.3458622508659194e-12,6.307119083934809e-12,6.268612654085809e-12,6.230341513436768e-12,6.1923042229695105e-12,6.1544993524755275e-12,6.116925480501892e-12,6.079581194297761e-12,6.0424650897609175e-12,6.005575771384839e-12,5.9689118522059365e-12,5.932471953751298e-12,5.896254705986614e-12,5.8602587472644665e-12,5.8244827242728826e-12,5.788925291984344e-12,5.7535851136049694e-12,5.718460860524073e-12,5.683551212263958e-12,5.648854856430188e-12,5.6143704886619645e-12,5.580096812582934e-12,5.546032539752278e-12,5.512176389615996e-12,5.478527089458704e-12,5.445083374355528e-12,5.411843987124387e-12,5.378807678278487e-12,5.3459732059792814e-12,5.313339335989527e-12,5.280904841626742e-12,5.248668503716839e-12,5.21662911054824e-12,5.18478545782607e-12,5.153136348626742e-12,5.121680593352732e-12,5.090417009687797e-12,5.0593444225522735e-12,5.028461664058779e-12,4.9977675734681425e-12,4.967260997145546e-12,4.936940788517108e-12,4.9068058080265335e-12,4.876854923092166e-12,4.847087008064182e-12,4.817500944182227e-12,4.788095619533127e-12,4.758869929008989e-12,4.729822774265418e-12,4.7009530636801996e-12,4.67225971231203e-12,4.643741641859621e-12,4.615397780621027e-12,4.587227063453142e-12,4.559228431731625e-12,4.531400833310899e-12,4.5037432224844805e-12,4.47625455994548e-12,4.448933812747486e-12,4.421779954265536e-12,4.394791964157424e-12,4.3679688283251454e-12,4.3413095388767395e-12,4.314813094088212e-12,4.28847849836577e-12,4.262304762208226e-12,4.236290902169746e-12,4.210435940822707e-12,4.184738906720844e-12,4.1591988343626154e-12,4.133814764154745e-12,4.108585742376097e-12,4.083510821141666e-12,4.0585890583668364e-12,4.033819517731821e-12,4.009201268646399e-12,3.984733386214799e-12,3.960414951200813e-12,3.936245049993095e-12,3.912222774570788e-12,3.8883472224692115e-12,3.864617496745874e-12,3.841032705946577e-12,3.817591964071887e-12,3.794294390543673e-12,3.771139110171913e-12,3.748125253121696e-12,3.725251954880374e-12,3.702518356225052e-12,3.679923603190117e-12,3.6574668470350785e-12,3.6351472442125096e-12,3.6129639563363116e-12,3.5909161501500606e-12,3.569002997495608e-12,3.547223675281804e-12,3.5255773654535454e-12,3.504063254960874e-12,3.4826805357283554e-12,3.461428404624553e-12,3.4403060634318328e-12,3.4193127188162072e-12,3.3984475822974566e-12,3.3777098702193933e-12,3.3570988037202856e-12,3.336613608703557e-12,3.3162535158085635e-12,3.2960177603816085e-12,3.2759055824470673e-12,3.2559162266788163e-12,3.2360489423717048e-12,3.2163029834132847e-12,3.196677608255629e-12,3.1771720798874648e-12,3.157785665806326e-12,3.1385176379909774e-12,3.1193672728739256e-12,3.1003338513142084e-12,3.0814166585702443e-12,3.0626149842729043e-12,3.043928122398749e-12,3.0253553712433707e-12,3.006896033395009e-12,2.9885494157082255e-12,2.9703148292778e-12,2.952191589412719e-12,2.9341790156104376e-12,2.9162764315311876e-12,2.898483164972511e-12,2.88079854784388e-12,2.8632219161415866e-12,2.845752609923671e-12,2.8283899732850747e-12,2.8111333543328785e-12,2.7939821051618e-12,2.7769355818297362e-12,2.7599931443335026e-12,2.7431541565847297e-12,2.7264179863858544e-12,2.7097840054063475e-12,2.6932515891590094e-12,2.6768201169764486e-12,2.6604889719876573e-12,2.6442575410948264e-12,2.628125214950203e-12,2.612091387933154e-12,2.5961554581272994e-12,2.580316827297897e-12,2.564574900869264e-12,2.548929087902385e-12,2.5333788010726242e-12,2.5179234566476328e-12,2.5025624744653336e-12,2.48729527791207e-12,2.472121293900884e-12,2.4570399528498963e-12,2.4420506886608923e-12,2.4271529386979695e-12,2.4123461437663517e-12,2.397629748091286e-12,2.3830031992971627e-12,2.36846594838667e-12,2.3540174497201216e-12,2.3396571609948808e-12,2.3253845432249717e-12,2.311199060720742e-12,2.29710018106871e-12,2.2830873751114604e-12,2.269160116927777e-12,2.2553178838127844e-12,2.241560156258278e-12,2.2278864179331566e-12,2.2142961556639437e-12,2.200788859415507e-12,2.187364022271813e-12,2.1740211404168516e-12,2.160759713115625e-12,2.1475792426953384e-12,2.1344792345266217e-12,2.121459197004917e-12,2.1085186415319307e-12,2.0956570824972746e-12,2.0828740372601567e-12,2.0701690261312047e-12,2.057541572354379e-12,2.0449912020890616e-12,2.032517444392179e-12,2.020119831200476e-12,2.0077978973128912e-12,1.995551180373015e-12,1.9833792208517166e-12,1.9712815620298134e-12,1.9592577499808834e-12,1.947307333554144e-12,1.9354298643575075e-12,1.9236248967406627e-12,1.911891987778315e-12,1.9002306972534723e-12,1.8886405876409186e-12,1.8771212240907e-12,1.865672174411777e-12,1.854293009055717e-12,1.8429833011005595e-12,1.83174262623472e-12,1.8205705627410134e-12,1.80946669148079e-12,1.798430595878121e-12,1.78746186190416e-12,1.7765600780615197e-12,1.7657248353688023e-12,1.7549557273451685e-12,1.744252349995075e-12,1.733614301793037e-12,1.7230411836685274e-12,1.712532598990928e-12,1.7020881535546308e-12,1.6917074555641734e-12,1.6813901156195061e-12,1.6711357467013045e-12,1.6609439641564355e-12,1.650814385683456e-12,1.6407466313182272e-12,1.6307403234196128e-12,1.6207950866552457e-12,1.6109105479874316e-12,1.6010863366590807e-12,1.5913220841797696e-12,1.5816174243118419e-12,1.5719719930566619e-12,1.5623854286408843e-12,1.5528573715028563e-12,1.5433874642790531e-12,1.533975351790667e-12,1.5246206810302133e-12,1.5153231011482552e-12,1.5060822634401765e-12,1.4968978213330916e-12,1.4877694303727763e-12,1.4786967482107141e-12,1.4696794345912116e-12,1.460717151338574e-12,1.451809562344413e-12,1.4429563335549673e-12,1.4341571329585516e-12,1.4254116305730323e-12,1.416719498433448e-12,1.4080804105796382e-12,1.3994940430439941e-12,1.390960073839242e-12,1.3824781829463612e-12,1.3740480523025147e-12,1.3656693657890965e-12,1.3573418092198143e-12,1.3490650703288941e-12,1.340838838759314e-12,1.3326628060511254e-12,1.3245366656298572e-12,1.3164601127949562e-12,1.308432844708353e-12,1.3004545603830475e-12,1.2925249606717922e-12,1.2846437482558182e-12,1.2768106276336793e-12,1.2690253051101092e-12,1.2612874887849858e-12,1.253596888542328e-12,1.2459532160394073e-12,1.2383561846958838e-12,1.2308055096830295e-12,1.2233009079129973e-12,1.2158420980281965e-12,1.208428800390689e-12,1.201060737071676e-12,1.1937376318410433e-12,1.1864592101569525e-12,1.179225199155542e-12,1.1720353276406415e-12,1.1648893260735784e-12,1.1577869265630241e-12,1.1507278628549391e-12,1.14371187032254e-12,1.1367386859563575e-12,1.129808048354319e-12,1.1229196977119484e-12,1.1160733758125721e-12,1.1092688260176134e-12,1.1025057932569282e-12,1.0957840240192278e-12,1.0891032663425352e-12,1.0824632698047026e-12,1.0758637855140042e-12,1.0693045660997556e-12,1.0627853657030335e-12,1.056305939967412e-12,1.049866046029781e-12,1.0434654425111979e-12,1.0371038895078276e-12,1.030781148581909e-12,1.0244969827527925e-12,1.0182511564880142e-12,1.0120434356944588e-12,1.005873587709541e-12,9.997413812924624e-13,9.936465866155034e-13,9.875889752553983e-13,9.81568320184733e-13,9.755843957634096e-13,9.696369777301657e-13,9.637258431941253e-13,9.578507706264413e-13,9.520115398519465e-13,9.462079320408855e-13,9.404397297006685e-13,9.34706716667717e-13,9.290086780993203e-13,9.233454004655614e-13,9.177166715412775e-13,9.121222803981014e-13,9.065620173965114e-13,9.010356741779618e-13,8.955430436570311e-13,8.900839200136579e-13,8.846580986853881e-13,8.792653763596853e-13,8.739055509662942e-13,8.685784216696261e-13,8.632837888612291e-13,8.580214541522703e-13,8.527912203660845e-13,8.475928915307458e-13,8.424262728717227e-13,8.372911708045401e-13,8.321873929275074e-13,8.271147480144759e-13,8.220730460076651e-13,8.170620980105083e-13,8.120817162805561e-13,8.071317142224047e-13,8.022119063807041e-13,7.973221084331699e-13,7.924621371836612e-13,7.876318105552936e-13,7.828309475835854e-13,7.780593684096731e-13,7.733168942735355e-13,7.686033475072848e-13,7.639185515284739e-13,7.592623308334761e-13,7.546345109908777e-13,7.500349186349284e-13,7.454633814590111e-13,7.40919728209184e-13,7.364037886777331e-13,7.319153936967786e-13,7.274543751319081e-13,7.230205658758713e-13,7.186137998422901e-13,7.142339119594188e-13,7.098807381639419e-13,7.055541153947992e-13,7.012538815870726e-13,6.969798756658831e-13,6.927319375403461e-13,6.885099080975408e-13,6.843136291965497e-13,6.801429436625021e-13,6.759976952806746e-13,6.718777287906099e-13,6.67782889880297e-13,6.637130251803634e-13,6.596679822583126e-13,6.556476096127998e-13,6.516517566679289e-13,6.476802737676079e-13,6.437330121699173e-13,6.398098240415236e-13,6.35910562452118e-13,6.320350813689057e-13,6.281832356511126e-13,6.243548810445342e-13,6.205498741761082e-13,6.167680725485386e-13,6.130093345349357e-13,6.092735193734962e-13,6.055604871622071e-13,6.018700988536026e-13,5.982022162495315e-13,5.945567019959654e-13,5.909334195778418e-13,5.873322333139265e-13,5.837530083517285e-13,5.801956106624257e-13,5.766599070358326e-13,5.731457650753893e-13,5.69653053193198e-13,5.661816406050728e-13,5.627313973256304e-13,5.593021941633981e-13,5.558939027159729e-13,5.525063953651902e-13,5.491395452723338e-13,5.457932263733629e-13,5.424673133741888e-13,5.391616817459597e-13,5.358762077203852e-13,5.326107682850898e-13,5.293652411789837e-13,5.261395048876816e-13,5.229334386389312e-13,5.197469223980809e-13,5.165798368635628e-13,5.134320634624229e-13,5.103034843458611e-13,5.07193982384807e-13,5.041034411655144e-13,5.010317449851984e-13,4.979787788476845e-13,4.949444284590911e-13,4.919285802235312e-13,4.889311212388556e-13,4.85951939292406e-13,4.829909228568031e-13,4.800479610857575e-13,4.771229438099029e-13,4.742157615326666e-13,4.713263054261519e-13,4.68454467327053e-13,4.656001397325881e-13,4.627632157964706e-13,4.599435893248912e-13,4.571411547725323e-13,4.543558072385995e-13,4.5158744246288974e-13,4.488359568218718e-13,4.4610124732479723e-13,4.433832116098268e-13,4.406817479401961e-13,4.379967552003897e-13,4.3532813289234485e-13,4.326757811316793e-13,4.3003960064393615e-13,4.2741949276086397e-13,4.24815359416706e-13,4.222271031445216e-13,4.1965462707252024e-13,4.1709783492043324e-13,4.1455663099589357e-13,4.120309201908442e-13,4.0952060797796314e-13,4.07025600407122e-13,4.045458041018538e-13,4.020811262558485e-13,3.996314746294652e-13,3.9719675754627543e-13,3.9477688388961697e-13,3.923717630991743e-13,3.8998130516757966e-13,3.87605420637029e-13,3.852440205959316e-13,3.828970166755667e-13,3.8056432104676897e-13,3.7824584641662547e-13,3.7594150602520743e-13,3.736512136423079e-13,3.713748835642063e-13,3.6911243061044744e-13,3.6686377012065086e-13,3.646288179513282e-13,3.6240749047272676e-13,3.6019970456568544e-13,3.580053776185221e-13,3.558244275239283e-13,3.536567726758874e-13,3.5150233196661346e-13,3.4936102478350196e-13,3.47232771006111e-13,3.4511749100314934e-13,3.430151056294899e-13,3.4092553622319436e-13,3.388487046025681e-13,3.367845330632207e-13,3.3473294437515226e-13,3.3269386177984944e-13,3.3066720898741287e-13,3.2865291017368775e-13,3.2665088997742167e-13,3.246610734974306e-13,3.226833862897957e-13,3.2071775436506454e-13,3.187641041854749e-13,3.1682236266219743e-13,3.148924571525867e-13,3.129743154574631e-13,3.1106786581839803e-13,3.091730369150236e-13,3.0728975786235213e-13,3.054179582081219e-13,3.035575679301498e-13,3.017085174337053e-13,2.9987073754889457e-13,2.98044159528072e-13,2.9622871504325555e-13,2.944243361835651e-13,2.9263095545267027e-13,2.9084850576626334e-13,2.8907692044953905e-13,2.8731613323469267e-13,2.855660782584351e-13,2.838266900595172e-13,2.820979035762806e-13,2.803796541442109e-13,2.786718774935148e-13,2.769745097467044e-13,2.7528748741620615e-13,2.736107474019751e-13,2.7194422698912927e-13,2.702878638455932e-13,2.6864159601976504e-13,2.6700536193818784e-13,2.6537910040324263e-13,2.6376275059084713e-13,2.621562520481805e-13,2.6055954469141206e-13,2.589725688034467e-13,2.573952650316869e-13,2.558275743858016e-13,2.542694382355192e-13,2.5272079830842404e-13,2.5118159668777254e-13,2.496517758103167e-13,2.481312784641501e-13,2.4662004778655893e-13,2.4511802726188953e-13,2.4362516071942535e-13,2.4214139233128575e-13,2.406666666103273e-13,2.3920092840806527e-13,2.377441229126008e-13,2.3629619564657003e-13,2.348570924650978e-13,2.3342675955376723e-13,2.320051434266024e-13,2.30592190924058e-13,2.291878492110316e-13,2.2779206577487763e-13,2.2640478842344e-13,2.2502596528309114e-13,2.236555447967912e-13,2.2229347572215139e-13,2.209397071295132e-13,2.195941884000356e-13,2.1825686922380128e-13,2.169276995979265e-13,2.1560662982468725e-13,2.1429361050965257e-13,2.1298859255983665e-13,2.1169152718185467e-13,2.1040236588009345e-13,2.0912106045489383e-13,2.0784756300073997e-13,2.065818259044674e-13,2.053238018434745e-13,2.0407344378394914e-13,2.0283070497910208e-13,2.0159553896741896e-13,2.0036789957091397e-13,1.9914774089340062e-13,1.9793501731876748e-13,1.9672968350927194e-13,1.955316944038374e-13,1.9434100521636483e-13,1.9315757143405093e-13,1.9198134881572286e-13,1.908122933901769e-13,1.8965036145453043e-13,1.884955095725836e-13,1.8734769457318826e-13,1.8620687354863327e-13,1.8507300385303302e-13,1.8394604310072984e-13,1.828259491647018e-13,1.8171268017498822e-13,1.8060619451711568e-13,1.795064508305405e-13,1.7841340800709474e-13,1.7732702518944893e-13,1.7624726176957785e-13,1.751740773872395e-13,1.7410743192845904e-13,1.7304728552402887e-13,1.7199359854801188e-13,1.7094633161625577e-13,1.6990544558491773e-13,1.6887090154899433e-13,1.6784266084086673e-13,1.6682068502884882e-13,1.6580493591574762e-13,1.6479537553742884e-13,1.637919661613975e-13,1.627946702853811e-13,1.6180345063592506e-13,1.6081827016699293e-13,1.598390920585813e-13,1.588658797153373e-13,1.5789859676518828e-13,1.569372070579756e-13,1.5598167466410362e-13,1.5503196387319011e-13,1.5408803919272857e-13,1.5314986534675857e-13,1.5221740727454106e-13,1.5129063012924756e-13,1.5036949927665217e-13,1.4945398029383405e-13,1.4854403896788554e-13,1.4763964129463276e-13,1.4674075347735904e-13,1.4584734192553965e-13,1.4495937325357998e-13,1.4407681427956838e-13,1.4319963202402974e-13,1.4232779370869098e-13,1.4146126675525025e-13,1.4060001878415905e-13,1.397440176134071e-13,1.388932312573163e-13,1.3804762792534289e-13,1.372071760208837e-13,1.363718441400954e-13,1.3554160107071564e-13,1.3471641579089407e-13,1.3389625746802822e-13,1.3308109545761065e-13,1.3227089930207897e-13,1.3146563872967537e-13,1.3066528365331015e-13,1.2986980416943744e-13,1.2907917055693262e-13,1.2829335327597954e-13,1.2751232296696167e-13,1.2673605044936508e-13,1.2596450672068276e-13,1.2519766295532875e-13,1.2443549050355828e-13,1.2367796089039232e-13,1.2292504581455385e-13,1.2217671714740518e-13,1.214329469318951e-13,1.206937073815096e-13,1.199589708792336e-13,1.1922870997651389e-13,1.185028973922324e-13,1.177815060116818e-13,1.1706450888555223e-13,1.163518792289202e-13,1.1564359042024551e-13,1.149396160003728e-13,1.1423992967154205e-13,1.1354450529640226e-13,1.1285331689703246e-13,1.1216633865396879e-13,1.1148354490523576e-13,1.1080491014538731e-13,1.1013040902454947e-13,1.0946001634747192e-13,1.0879370707258211e-13,1.0813145631104985e-13,1.0747323932585311e-13,1.0681903153085251e-13,1.0616880848986841e-13,1.0552254591576809e-13,1.0488021966955421e-13,1.042418057594612e-13,1.0360728034005678e-13,1.029766197113473e-13,1.0234980031789228e-13,1.0172679874792052e-13,1.0110759173245389e-13,1.0049215614443433e-13,9.988046899785976e-14,9.927250744692165e-14,9.866824878515005e-14,9.806767044456168e-14,9.747074999481678e-14,9.687746514237761e-14,9.628779372967395e-14,9.570171373427221e-14,9.511920326805232e-14,9.454024057638678e-14,9.396480403732611e-14,9.339287216078951e-14,9.282442358775858e-14,9.225943708947944e-14,9.169789156666636e-14,9.113976604871208e-14,9.058503969290129e-14,9.003369178363213e-14,8.948570173163886e-14,8.894104907322142e-14,8.839971346947809e-14,8.786167470554546e-14,8.732691268984022e-14,8.679540745330758e-14,8.626713914867186e-14,8.574208804969537e-14,8.522023455043856e-14,8.47015591645259e-14,8.418604252441668e-14,8.367366538067849e-14,8.31644086012682e-14,8.265825317081447e-14,8.215518018990614e-14,8.165517087438346e-14,8.115820655463658e-14,8.066426867490522e-14,8.017333879258438e-14,7.968539857753284e-14,7.920042981138839e-14,7.871841438688455e-14,7.823933430717333e-14,7.77631716851501e-14,7.728990874278555e-14,7.681952781045906e-14,7.635201132629742e-14,7.588734183551744e-14,7.542550198977139e-14,7.496647454649928e-14,7.451024236828212e-14,7.405678842220074e-14,7.36060957791972e-14,7.315814761344249e-14,7.271292720170568e-14,7.22704179227282e-14,7.183060325660064e-14,7.139346678414596e-14,7.09589921863034e-14,7.052716324351873e-14,7.009796383513528e-14,6.967137793879255e-14,6.924738962982519e-14,6.882598308066705e-14,6.84071425602591e-14,6.799085243345952e-14,6.757709716045976e-14,6.716586129620198e-14,6.675712948980139e-14,6.635088648397067e-14,6.594711711445024e-14,6.554580630943965e-14,6.514693908903402e-14,6.475050056466228e-14,6.435647593853136e-14,6.39648505030713e-14,6.357560964038521e-14,6.31887388217013e-14,6.280422360683037e-14,6.242204964362438e-14,6.204220266743965e-14,6.166466850060302e-14,6.128943305188038e-14,6.091648231595063e-14,6.054580237288064e-14,6.017737938760456e-14,5.98111996094053e-14,5.94472493714012e-14,5.90855150900335e-14,5.872598326455862e-14,5.836864047654187e-14,5.801347338935669e-14,5.766046874768457e-14,5.73096133770194e-14,5.696089418317369e-14,5.66142981517897e-14,5.6269812347851686e-14,5.592742391520189e-14,5.5587120076059754e-14,5.524888813054292e-14,5.491271545619312e-14,5.45785895075031e-14,5.4246497815447564e-14,5.3916427987015764e-14,5.3588367704748806e-14,5.3262304726278235e-14,5.293822688386801e-14,5.2616122083958616e-14,5.229597830671569e-14,5.197778360557928e-14,5.1661526106817605e-14,5.134719400908155e-14,5.103477558296453e-14,5.072425917056286e-14,5.04156331850395e-14,5.0108886110190937e-14,4.9804006500015456e-14,4.950098297828601e-14,4.9199804238123835e-14,4.8900459041575745e-14,4.8602936219192946e-14,4.830722466961431e-14,4.8013313359150137e-14,4.772119132136987e-14,4.743084765669104e-14,4.714227153197247e-14,4.685545218010831e-14,4.657037889962572e-14,4.6287041054283513e-14,4.600542807267557e-14,4.572552944783445e-14,4.544733473683861e-14,4.517083356042181e-14,4.489601560258425e-14,4.462287061020762e-14,4.4351388392670735e-14,4.4081558821468865e-14,4.381337182983401e-14,4.3546817412359406e-14,4.328188562462455e-14,4.301856658282346e-14,4.27568504633944e-14,4.249672750265338e-14,4.2238187996428173e-14,4.198122229969571e-14,4.172582082622072e-14,4.147197404819795e-14,4.121967249589531e-14,4.096890675729967e-14,4.0719667477765036e-14,4.047194535966204e-14,4.022573116203103e-14,3.9981015700235914e-14,3.9737789845620744e-14,3.949604452516792e-14,3.925577072115951e-14,3.901695947083952e-14,3.877960186607887e-14,3.8543689053041724e-14,3.8309212231855074e-14,3.8076162656279196e-14,3.784453163338073e-14,3.761431052320698e-14,3.738549073846373e-14,3.715806374419338e-14,3.6932021057455973e-14,3.670735424701204e-14,3.6484054933006854e-14,3.626211478665761e-14,3.604152552994166e-14,3.582227893528701e-14,3.560436682526426e-14,3.5387781072281416e-14,3.5172513598279594e-14,3.495855637443105e-14,3.474590142083851e-14,3.4534540806237456e-14,3.432446664769908e-14,3.411567111033572e-14,3.390814640700743e-14,3.3701884798031425e-14,3.3496878590892275e-14,3.3293120139954334e-14,3.3090601846175967e-14,3.288931615682492e-14,3.26892555651966e-14,3.2490412610332946e-14,3.229277987674369e-14,3.209634999412853e-14,3.1901115637102346e-14,3.170706952492077e-14,3.151420442120821e-14,3.13225131336868e-14,3.113198851390823e-14,3.0942623456985866e-14,3.075441090132952e-14,3.0567343828380856e-14,3.038141526235163e-14,3.0196618269962543e-14,3.0012945960183984e-14,2.983039148397869e-14,2.9648948034045e-14,2.946860884456323e-14,2.928936719094214e-14,2.911121638956781e-14,2.8934149797553326e-14,2.8758160812491075e-14,2.858324287220547e-14,2.8409389454507813e-14,2.8236594076952134e-14,2.806485029659339e-14,2.789415170974619e-14,2.7724491951745662e-14,2.755586469670907e-14,2.738826365729998e-14,2.722168258449276e-14,2.7056115267339113e-14,2.6891555532736008e-14,2.6727997245194508e-14,2.656543430661101e-14,2.640386065603891e-14,2.6243270269462237e-14,2.6083657159569994e-14,2.5925015375533127e-14,2.576733900278151e-14,2.561062216278314e-14,2.5454859012824042e-14,2.530004374579037e-14,2.5146170589951026e-14,2.4993233808742113e-14,2.484122770055212e-14,2.4690146598509345e-14,2.4539984870269768e-14,2.4390736917806617e-14,2.4242397177201137e-14,2.4094960118434447e-14,2.394842024518119e-14,2.3802772094603866e-14,2.3658010237148838e-14,2.351412927634299e-14,2.3371123848592606e-14,2.3228988622982574e-14,2.308771830107726e-14,2.2947307616722205e-14,2.2807751335847806e-14,2.2669044256273353e-14,2.253118120751277e-14,2.2394157050581104e-14,2.225796667780289e-14,2.2122605012620994e-14,2.1988067009406987e-14,2.185434765327259e-14,2.172144195988203e-14,2.1589344975266226e-14,2.145805177563731e-14,2.1327557467204818e-14,2.1197857185992508e-14,2.1068946097657013e-14,2.094081939730694e-14,2.081347230932342e-14,2.0686900087181418e-14,2.056109801327273e-14,2.043606139872947e-14,2.0311785583248956e-14,2.018826593491936e-14,2.006549785004694e-14,1.9943476752983852e-14,1.9822198095957154e-14,1.9701657358899055e-14,1.958185004927761e-14,1.9462771701929367e-14,1.934441787889223e-14,1.9226784169239772e-14,1.9109866188916153e-14,1.8993659580572726e-14,1.887816001340495e-14,1.8763363182990736e-14,1.8649264811129342e-14,1.853586064568192e-14,1.8423146460412388e-14,1.8311118054829715e-14,1.8199771254030608e-14,1.8089101908544038e-14,1.797910589417591e-14,1.7869779111855017e-14,1.776111748748001e-14,1.7653116971766924e-14,1.754577354009825e-14,1.7439083192372388e-14,1.7333041952854254e-14,1.7227645870026574e-14,1.712289101644258e-14,1.7018773488579095e-14,1.69152894066908e-14,1.6812434914665035e-14,1.671020617987816e-14,1.6608599393052115e-14,1.6507610768112215e-14,1.6407236542045537e-14,1.6307472974760625e-14,1.6208316348947637e-14,1.6109762969939485e-14,1.6011809165573882e-14,1.5914451286055945e-14,1.581768570382224e-14,1.572150881340498e-14,1.562591703129755e-14,1.553090679582035e-14,1.5436474566988133e-14,1.534261682637755e-14,1.5249330076995827e-14,1.515661084314993e-14,1.5064455670317108e-14,1.4972861125015585e-14,1.488182379467641e-14,1.4791340287516037e-14,1.4701407232409425e-14,1.4612021278764473e-14,1.4523179096396612e-14,1.4434877375404583e-14,1.4347112826046583e-14,1.4259882178617707e-14,1.4173182183327629e-14,1.4087009610179338e-14,1.400136124884828e-14,1.3916233908562797e-14,1.3831624417984734e-14,1.3747529625091097e-14,1.3663946397056176e-14,1.3580871620134793e-14,1.349830219954584e-14,1.3416235059356776e-14,1.3334667142368759e-14,1.3253595410002314e-14,1.317301684218416e-14,1.3092928437234182e-14,1.3013327211753483e-14,1.2934210200512767e-14,1.2855574456341877e-14,1.2777417050019582e-14,1.2699735070164254e-14,1.2622525623124983e-14,1.2545785832873788e-14,1.2469512840898049e-14,1.2393703806093851e-14,1.2318355904659707e-14,1.22434663299914e-14,1.2169032292577003e-14,1.2095051019892743e-14,1.2021519756299516e-14,1.1948435762939862e-14,1.1875796317635929e-14,1.1803598714787633e-14,1.1731840265271778e-14,1.1660518296341412e-14,1.1589630151526362e-14,1.1519173190533789e-14,1.1449144789149774e-14,1.1379542339141126e-14,1.1310363248158248e-14,1.1241604939638212e-14,1.1173264852708592e-14,1.1105340442091754e-14,1.103782917800999e-14,1.0970728546090998e-14,1.0904036047273973e-14,1.0837749197716383e-14,1.0771865528701066e-14,1.0706382586544309e-14,1.0641297932504066e-14,1.0576609142689018e-14,1.0512313807967892e-14,1.0448409533879804e-14,1.0384893940544652e-14,1.0321764662574384e-14,1.0259019348984555e-14,1.0196655663106744e-14,1.0134671282501197e-14,1.0073063898870222e-14,1.0011831217971832e-14,9.950970959534356e-15,9.890480857171133e-15,9.830358658295993e-15,9.770602124039158e-15,9.711209029163543e-15,9.652177161981923e-15,9.5935043242742e-15,9.53518833120544e-15,9.477227011244168e-15,9.419618206081513e-15,9.362359770550526e-15,9.305449572546169e-15,9.24888549294556e-15,9.192665425529156e-15,9.136787276901899e-15,9.081248966415227e-15,9.026048426089244e-15,8.971183600535757e-15,8.916652446881369e-15,8.86245293469134e-15,8.808583045893782e-15,8.755040774704216e-15,8.701824127550913e-15,8.648931123000363e-15,8.596359791683363e-15,8.544108176221401e-15,8.492174331153816e-15,8.44055632286501e-15,8.389252229512391e-15,8.338260140954504e-15,8.287578158679923e-15,8.23720439573629e-15,8.18713697665993e-15,8.137374037405776e-15,8.08791372527793e-15,8.038754198860446e-15,7.989893627948616e-15,7.941330193480719e-15,7.893062087469991e-15,7.84508751293734e-15,7.797404683844178e-15,7.750011825025826e-15,7.702907172125142e-15,7.656088971526865e-15,7.60955548029205e-15,7.563304966093092e-15,7.517335707148966e-15,7.47164599216115e-15,7.426234120249647e-15,7.381098400889577e-15,7.336237153847976e-15,7.291648709121281e-15,7.247331406872886e-15,7.203283597371232e-15,7.15950364092831e-15,7.115989907838325e-15,7.0727407783170675e-15,7.0297546424413764e-15,6.987029900089115e-15,6.9445649608793465e-15,6.902358244113166e-15,6.860408178714619e-15,6.8187132031721234e-15,6.7772717654801176e-15,6.7360823230812875e-15,6.6951433428089384e-15,6.654453300829803e-15,6.6140106825871295e-15,6.573813982744302e-15,6.53386170512857e-15,6.494152362675272e-15,6.454684477372362e-15,6.415456580205181e-15,6.3764672111017844e-15,6.337714918878391e-15,6.299198261185272e-15,6.2609158044528515e-15,6.222866123838372e-15,6.1850478031726355e-15,6.147459434907224e-15,6.1100996200618874e-15,6.072966968172514e-15,6.0360600972391325e-15,5.999377633674428e-15,5.962918212252395e-15,5.926680476057562e-15,5.890663076434251e-15,5.854864672936327e-15,5.8192839332771785e-15,5.7839195332799704e-15,5.748770156828339e-15,5.713834495817237e-15,5.6791112501041705e-15,5.644599127460618e-15,5.610296843523949e-15,5.576203121749442e-15,5.542316693362699e-15,5.508636297312235e-15,5.475160680222575e-15,5.441888596347403e-15,5.408818807523154e-15,5.375950083122731e-15,5.3432812000097465e-15,5.3108109424927885e-15,5.278538102280127e-15,5.246461478434654e-15,5.2145798773289995e-15,5.182892112601151e-15,5.151397005110105e-15,5.120093382891941e-15,5.088980081116031e-15,5.058055942041704e-15,5.02731981497499e-15,4.996770556225746e-15,4.966407029064925e-15,4.936228103682285e-15,4.90623265714419e-15,4.876419573351752e-15,4.846787742999143e-15,4.8173360635323316e-15,4.788063439107892e-15,4.7589687805521414e-15,4.730051005320554e-15,4.7013090374573136e-15,4.672741807555286e-15,4.644348252716079e-15,4.616127316510424e-15,4.588077948938727e-15,4.560199106391996e-15,4.5324897516128755e-15,4.504948853656979e-15,4.477575387854389e-15,4.450368335771547e-15,4.4233266851731974e-15,4.396449429984683e-15,4.369735570254365e-15,4.34318411211642e-15,4.3167940677537286e-15,4.29056445536105e-15,4.264494299108423e-15,4.238582629104724e-15,4.2128284813615894e-15,4.187230897757409e-15,4.16178892600163e-15,4.136501619599185e-15,4.111368037815308e-15,4.086387245640365e-15,4.061558313755048e-15,4.036880318495649e-15,4.012352341819718e-15,3.987973471271769e-15,3.963742799949292e-15,3.939659426468869e-15,3.915722454932671e-15,3.891930994894983e-15,3.868284161329021e-15,3.84478107459395e-15,3.821420860402038e-15,3.798202649786131e-15,3.775125579067207e-15,3.7521887898221964e-15,3.729391428851937e-15,3.7067326481494314e-15,3.684211604868182e-15,3.661827461290795e-15,3.6395793847976966e-15,3.617466547836173e-15,3.595488127889466e-15,3.57364330744612e-15,3.551931273969479e-15,3.530351219867452e-15,3.5089023424623633e-15,3.487583843961038e-15,3.4663949314250782e-15,3.4453348167412442e-15,3.4244027165921624e-15,3.403597852427061e-15,3.3829194504327804e-15,3.3623667415048725e-15,3.3419389612190108e-15,3.3216353498024406e-15,3.3014551521056783e-15,3.2813976175743214e-15,3.2614620002211354e-15,3.2416475585982046e-15,3.2219535557693086e-15,3.20237925928242e-15,3.182923941142454e-15,3.1635868777841003e-15,3.1443673500448558e-15,3.1252646431382316e-15,3.1062780466270706e-15,3.0874068543971225e-15,3.068650364630685e-15,3.050007879780477e-15,3.03147870654357e-15,3.013062155835643e-15,2.994757542765228e-15,2.97656418660822e-15,2.9584814107824586e-15,2.940508542822571e-15,2.9226449143548715e-15,2.904889861072467e-15,2.8872427227104537e-15,2.869702843021379e-15,2.8522695697507363e-15,2.834942254612665e-15,2.8177202532657886e-15,2.8006029252892047e-15,2.7835896341586353e-15,2.7666797472226202e-15,2.7498726356790623e-15,2.7331676745517146e-15,2.7165642426669065e-15,2.7000617226303904e-15,2.6836595008043403e-15,2.6673569672844794e-15,2.6511535158773666e-15,2.6350485440777348e-15,2.6190414530461503e-15,2.603131647586619e-15,2.587318536124423e-15,2.571601530684082e-15,2.5559800468674347e-15,2.5404535038318645e-15,2.525021324268656e-15,2.509682934381495e-15,2.4944377638650192e-15,2.479285245883677e-15,2.4642248170505177e-15,2.4492559174062366e-15,2.4343779903982958e-15,2.4195904828601886e-15,2.4048928449908277e-15,2.3902845303340753e-15,2.375764995758312e-15,2.361333701436302e-15,2.346990110825008e-15,2.3327336906456216e-15,2.318563910863685e-15,2.304480244669347e-15,2.2904821684577325e-15,2.2765691618094308e-15,2.2627407074711258e-15,2.2489962913362546e-15,2.2353354024259486e-15,2.221757532869935e-15,2.2082621778876247e-15,2.1948488357693097e-15,2.181517007857466e-15,2.1682661985281807e-15,2.1550959151726925e-15,2.1420056681789866e-15,2.1289949709136376e-15,2.1160633397036243e-15,2.1032102938183168e-15,2.0904353554515773e-15,2.077738049703948e-15,2.0651179045649652e-15,2.0525744508955706e-15,2.040107222410651e-15,2.0277157556616075e-15,2.0153995900191745e-15,2.0031582676562074e-15,1.9909913335306347e-15,1.9788983353685083e-15,1.9668788236471567e-15,1.954932351578435e-15,1.943058475092097e-15,1.9312567528191987e-15,1.9195267460757338e-15,1.907868018846241e-15,1.896280137767573e-15,1.8847626721127586e-15,1.8733151937749467e-15,1.8619372772514695e-15,1.850628499627986e-15,1.8393884405627426e-15,1.8282166822708637e-15,1.817112809508868e-15,1.8060764095591473e-15,1.7951070722146077e-15,1.7842043897633868e-15,1.7733679569736687e-15,1.7625973710785894e-15,1.7518922317612502e-15,1.7412521411397483e-15,1.73067670375244e-15,1.7201655265431566e-15,1.7097182188465773e-15,1.6993343923736785e-15,1.6890136611972701e-15,1.6787556417376226e-15,1.6685599527481784e-15,1.6584262153013665e-15,1.6483540527744387e-15,1.6383430908355131e-15,1.6283929574295895e-15,1.6185032827646971e-15,1.6086736992981275e-15,1.598903841722744e-15,1.5891933469533715e-15,1.579541854113294e-15,1.5699490045207609e-15,1.5604144416757007e-15,1.550937811246399e-15,1.5415187610563105e-15,1.5321569410709436e-15,1.5228520033848281e-15,1.5136036022085535e-15,1.5044113938558956e-15,1.495275036731023e-15,1.4861941913157378e-15,1.4771685201568934e-15,1.4681976878537837e-15,1.4592813610456656e-15,1.4504192083993436e-15,1.441610900596831e-15,1.4328561103230858e-15,1.4241545122538329e-15,1.4155057830434064e-15,1.4069096013127749e-15,1.3983656476375265e-15,1.3898736045359883e-15,1.3814331564574036e-15,1.3730439897701788e-15,1.3647057927502083e-15,1.3564182555692649e-15,1.3481810702834732e-15,1.3399939308218018e-15,1.3318565329747284e-15,1.3237685743828683e-15,1.315729754525732e-15,1.3077397747105285e-15,1.2997983380610482e-15,1.2919051495066052e-15,1.2840599157710634e-15,1.2762623453618755e-15,1.2685121485592885e-15,1.2608090374055188e-15,1.2531527256940345e-15,1.2455429289589057e-15,1.2379793644642125e-15,1.2304617511935114e-15,1.2229898098393787e-15,1.2155632627930186e-15,1.2081818341338892e-15,1.2008452496194867e-15,1.1935532366750965e-15,1.186305524383654e-15,1.1791018434756587e-15,1.1719419263191505e-15,1.164825506909742e-15,1.1577523208607272e-15,1.1507221053932015e-15,1.143734599326333e-15,1.1367895430676006e-15,1.1298866786031402e-15,1.1230257494881403e-15,1.1162065008372935e-15,1.1094286793153066e-15,1.1026920331274724e-15,1.0959963120102991e-15,1.0893412672221664e-15,1.082726651534111e-15,1.0761522192205912e-15,1.0696177260503486e-15,1.0631229292773134e-15,1.0566675876315705e-15,1.0502514613103778e-15,1.0438743119692445e-15,1.0375359027130317e-15,1.0312359980871755e-15,1.0249743640688956e-15,1.018750768058489e-15,1.0125649788706732e-15,1.0064167667259782e-15,1.0003059032421965e-15,9.942321614258777e-16,9.8819531566389e-16,9.821951417149922e-16,9.762314167015276e-16,9.703039191011033e-16,9.644124287383477e-16,9.58556726776718e-16,9.527365957103537e-16,9.469518193559799e-16,9.412021828448683e-16,9.354874726148118e-16,9.298074764022177e-16,9.241619832341783e-16,9.185507834206253e-16,9.12973668546526e-16,9.074304314641252e-16,9.019208662852366e-16,8.964447683735782e-16,8.910019343371625e-16,8.85592162020703e-16,8.802152504981252e-16,8.748710000650653e-16,8.695592122314448e-16,8.642796897140792e-16,8.590322364293406e-16,8.538166574858554e-16,8.486327591772541e-16,8.434803489749674e-16,8.383592355210356e-16,8.3326922862102565e-16,8.282101392369265e-16,8.231817794801204e-16,8.181839626043908e-16,8.132165029989742e-16,8.082792161816485e-16,8.033719187918784e-16,7.984944285839633e-16,7.936465644202954e-16,7.888281462645905e-16,7.84038995175198e-16,7.7927893329844e-16,7.745477838619923e-16,7.698453711683075e-16,7.651715205880756e-16,7.60526058553733e-16,7.559088125529794e-16,7.51319611122392e-16,7.467582838410244e-16,7.422246613240687e-16,7.377185752165533e-16,7.332398581870788e-16,7.287883439215899e-16,7.243638671171939e-16,7.19966263475987e-16,7.155953696989739e-16,7.112510234799695e-16,7.069330634995649e-16,7.026413294191258e-16,6.983756618748244e-16,6.941359024717119e-16,6.899218937778236e-16,6.857334793183271e-16,6.815705035696792e-16,6.774328119538693e-16,6.733202508326494e-16,6.6923266750182e-16,6.651699101855519e-16,6.611318280307355e-16,6.571182711013717e-16,6.531290903729945e-16,6.491641377271102e-16,6.452232659457149e-16,6.413063287057951e-16,6.37413180573893e-16,6.33543677000692e-16,6.2969767431564165e-16,6.258750297216092e-16,6.220756012895706e-16,6.182992479533318e-16,6.145458295042643e-16,6.108152065861153e-16,6.071072406898049e-16,6.034217941482786e-16,5.997587301313847e-16,5.961179126407842e-16,5.924992065048923e-16,5.889024773738522e-16,5.85327591714522e-16,5.817744168055315e-16,5.782428207323279e-16,5.747326723822731e-16,5.712438414397658e-16,5.677761983813938e-16,5.643296144711158e-16,5.6090396175547355e-16,5.574991130588332e-16,5.541149419786416e-16,5.507513228807461e-16,5.474081308947062e-16,5.440852419091523e-16,5.407825325671684e-16,5.374998802617049e-16,5.342371631310156e-16,5.30994260054131e-16,5.277710506463359e-16,5.245674152547153e-16,5.213832349536882e-16,5.18218391540587e-16,5.150727675312626e-16,5.119462461557121e-16,5.088387113537375e-16,5.057500477706282e-16,5.026801407528728e-16,4.996288763438814e-16,4.965961412797683e-16,4.935818229851251e-16,4.9058580956883655e-16,4.8760798981991875e-16,4.846482532033833e-16,4.817064898561263e-16,4.787825905828447e-16,4.758764468519623e-16,4.729879507916125e-16,4.701169951856142e-16,4.672634734694862e-16,4.64427279726484e-16,4.616083086836616e-16,4.58806455707955e-16,4.560216168022911e-16,4.532536886017243e-16,4.505025683695772e-16,4.477681539936407e-16,4.450503439823635e-16,4.423490374610799e-16,4.3966413416825896e-16,4.369955344517761e-16,4.3434313926520604e-16,4.3170685016414306e-16,4.2908656930252845e-16,4.264821994290284e-16,4.2389364388340674e-16,4.2132080659293225e-16,4.187635920688065e-16,4.162219054026135e-16,4.13695652262788e-16,4.111847388911107e-16,4.0868907209922164e-16,4.0620855926514516e-16,4.0374310832986236e-16,4.0129262779387655e-16,3.9885702671381267e-16,3.964362146990366e-16,3.940301019082931e-16,3.916385990463658e-16,3.892616173607593e-16,3.86899068638387e-16,3.8455086520230846e-16,3.822169199084588e-16,3.7989714614240903e-16,3.775914578161474e-16,3.75299769364877e-16,3.730219957438351e-16,3.7075805242513053e-16,3.685078553946028e-16,3.6627132114868905e-16,3.6404836669133367e-16,3.6183890953089235e-16,3.596428676770677e-16,3.574601596378603e-16,3.5529070441653907e-16,3.531344215086292e-16,3.509912308989227e-16,3.488610530584917e-16,3.467438089417474e-16,3.446394199834913e-16,3.425478080959965e-16,3.404688956661039e-16,3.384026055523376e-16,3.3634886108203583e-16,3.343075860485012e-16,3.3227870470816893e-16,3.302621417777822e-16,3.2825782243160683e-16,3.2626567229864046e-16,3.2428561745984944e-16,3.2231758444542114e-16,3.203615002320323e-16,3.184172922401344e-16,3.1648488833125727e-16,3.145642168053189e-16,3.1265520639797316e-16,3.107577862779503e-16,3.088718860444284e-16,3.069974357244139e-16,3.051343657701416e-16,3.0328260705648854e-16,3.014420908784052e-16,2.996127489483621e-16,2.977945133938043e-16,2.9598731675463994e-16,2.9419109198072487e-16,2.9240577242937104e-16,2.9063129186287064e-16,2.888675844460328e-16,2.871145847437367e-16,2.8537222771850104e-16,2.836404487280583e-16,2.819191835229646e-16,2.802083682442023e-16,2.785079394208089e-16,2.7681783396751816e-16,2.7513798918241404e-16,2.734683427446007e-16,2.718088327118861e-16,2.7015939751848123e-16,2.685199759727039e-16,2.668905072547157e-16,2.652709309142546e-16,2.636611868683885e-16,2.620612153992833e-16,2.6047095715198212e-16,2.5889035313220007e-16,2.573193447041328e-16,2.5575787358827013e-16,2.542058818592405e-16,2.5266331194365086e-16,2.5113010661794887e-16,2.496062090062958e-16,2.480915625784522e-16,2.4658611114767807e-16,2.4508979886864324e-16,2.4360257023535437e-16,2.4212437007908467e-16,2.406551435663339e-16,2.391948361967838e-16,2.3774339380127406e-16,2.3630076253978953e-16,2.3486688889945806e-16,2.3344171969256324e-16,2.320252020545683e-16,2.306172834421456e-16,2.292179116312326e-16,2.2782703471508606e-16,2.2644460110235314e-16,2.250705595151549e-16,2.2370485898718077e-16,2.223474488617938e-16,2.2099827879014851e-16,2.1965729872932173e-16,2.1832445894044604e-16,2.1699970998687094e-16,2.156830027323197e-16,2.1437428833906452e-16,2.1307351826611212e-16,2.1178064426739947e-16,2.1049561839000115e-16,2.09218392972349e-16,2.0794892064245464e-16,2.066871543161584e-16,2.05433047195374e-16,2.0418655276635008e-16,2.0294762479794275e-16,2.0171621733989707e-16,2.0049228472113993e-16,1.9927578154808285e-16,1.980666627029368e-16,1.9686488334202938e-16,1.9567039889414797e-16,1.944831650588773e-16,1.9330313780495485e-16,1.9213027336863499e-16,1.9096452825206247e-16,1.8980585922165649e-16,1.8865422330650555e-16,1.875095777967653e-16,1.8637188024208e-16,1.8524108844999938e-16,1.8411716048441273e-16,1.8300005466399045e-16,1.818897295606356e-16,1.8078614399794439e-16,1.7968925704967666e-16,1.7859902803823603e-16,1.7751541653315387e-16,1.764383823495948e-16,1.7536788554685816e-16,1.7430388642689583e-16,1.7324634553283706e-16,1.7219522364752242e-16,1.71150481792047e-16,1.7011208122431374e-16,1.6907998343758801e-16,1.6805415015907598e-16,1.6703454334849637e-16,1.660211251966693e-16,1.6501385812411126e-16,1.640127047796391e-16,1.630176280389824e-16,1.6202859100340403e-16,1.6104555699833077e-16,1.6006848957198644e-16,1.5909735249404375e-16,1.5813210975427494e-16,1.571727255612141e-16,1.5621916434082808e-16,1.5527139073519497e-16,1.5432936960119038e-16,1.5339306600918303e-16,1.5246244524173298e-16,1.5153747279230815e-16,1.5061811436399873e-16,1.4970433586824332e-16,1.487961034235633e-16,1.4789338335430412e-16,1.4699614218938417e-16,1.4610434666105156e-16,1.4521796370364911e-16,1.4433696045238244e-16,1.4346130424210485e-16,1.4259096260610025e-16,1.4172590327487791e-16,1.4086609417497357e-16,1.4001150342775883e-16,1.3916209934825618e-16,1.3831785044396364e-16,1.3747872541368056e-16,1.3664469314635131e-16,1.3581572271990556e-16,1.3499178340011056e-16,1.3417284463942975e-16,1.3335887607588813e-16,1.3254984753194421e-16,1.3174572901336962e-16,1.3094649070813554e-16,1.3015210298530188e-16,1.293625363939223e-16,1.285777616619465e-16,1.2779774969513416e-16,1.270224715759741e-16,1.2625189856261024e-16,1.254860020877743e-16,1.247247537577254e-16,1.2396812535119253e-16,1.2321608881833059e-16,1.2246861627967635e-16,1.2172568002511294e-16,1.209872525128413e-16,1.2025330636835685e-16,1.195238143834332e-16,1.1879874951511127e-16,1.1807808488469618e-16,1.173617937767552e-16,1.166498496381312e-16,1.1594222607695255e-16,1.1523889686165425e-16,1.145398359200035e-16,1.1384501733813149e-16,1.131544153595713e-16,1.1246800438430153e-16,1.117857589677933e-16,1.111076538200692e-16,1.1043366380476156e-16,1.0976376393817951e-16,1.0909792938838128e-16,1.0843613547425193e-16,1.0777835766458683e-16,1.0712457157718097e-16,1.0647475297792368e-16,1.058288777798963e-16,1.0518692204248189e-16,1.0454886197047331e-16,1.0391467391319028e-16,1.0328433436360124e-16,1.0265781995745038e-16,1.0203510747239007e-16,1.0141617382711913e-16,1.0080099608052314e-16,1.001895514308267e-16,9.958181721474377e-17,9.897777090663704e-17,9.837739011768153e-17,9.778065259503293e-17,9.71875362210017e-17,9.659801901223161e-17,9.601207911888418e-17,9.542969482382452e-17,9.48508445418193e-17,9.427550681873251e-17,9.370366033072911e-17,9.313528388348397e-17,9.257035641139435e-17,9.200885697679796e-17,9.145076476919628e-17,9.089605910447921e-17,9.034471942416082e-17,8.979672529461372e-17,8.925205640631096e-17,8.871069257307172e-17,8.817261373131223e-17,8.763779993930053e-17,8.710623137641617e-17,8.657788834241517e-17,8.605275125669565e-17,8.5530800657575e-17,8.501201720156472e-17,8.449638166265276e-17,8.398387493158987e-17,8.347447801518016e-17,8.296817203557576e-17,8.246493822957684e-17,8.196475794793238e-17,8.146761265465163e-17,8.097348392631333e-17,8.048235345138252e-17,7.999420302953055e-17,7.950901457095964e-17,7.90267700957312e-17,7.854745173309824e-17,7.807104172084258e-17,7.759752240461329e-17,7.712687623727457e-17,7.66590857782521e-17,7.619413369288627e-17,7.573200275178847e-17,7.527267583020165e-17,7.481613590736468e-17,7.436236606588072e-17,7.391134949108745e-17,7.346306947043582e-17,7.301750939286773e-17,7.257465274819973e-17,7.213448312651033e-17,7.169698421753078e-17,7.126213981003954e-17,7.082993379126064e-17,7.040035014626613e-17,6.997337295737926e-17,6.954898640358715e-17,6.912717475995105e-17,6.870792239702343e-17,6.829121378026772e-17,6.78770334694816e-17,6.746536611822424e-17,6.705619647324657e-17,6.664950937392378e-17,6.624528975169504e-17,6.584352262950254e-17,6.544419312123585e-17,6.504728643117957e-17,6.465278785346406e-17,6.426068277151957e-17,6.387095665753384e-17,6.348359507191328e-17,6.309858366274519e-17,6.271590816526771e-17,6.23355544013388e-17,6.19575082789103e-17,6.158175579150493e-17,6.120828301769636e-17,6.083707612059263e-17,6.046812134732304e-17,6.010140502852592e-17,5.973691357784394e-17,5.937463349141805e-17,5.90145513473869e-17,5.865665380538852e-17,5.830092760606542e-17,5.794735957057229e-17,5.759593660008701e-17,5.724664567532492e-17,5.689947385605395e-17,5.655440828061691e-17,5.621143616545251e-17,5.587054480462126e-17,5.55317215693341e-17,5.5194953907483537e-17,5.486022934317801e-17,5.4527535476279137e-17,5.4196859981940055e-17,5.386819061015038e-17,5.354151518527993e-17,5.321682160562752e-17,5.289409784297166e-17,5.257333194212416e-17,5.225451202048673e-17,5.193762626760977e-17,5.162266294475458e-17,5.130961038445626e-17,5.0998456990093004e-17,5.068919123545417e-17,5.038180166431305e-17,5.007627689000175e-17,4.977260559498856e-17,4.947077653045807e-17,4.917077851589409e-17,4.887260043866338e-17,4.857623125360535e-17,4.8281659982620885e-17,4.79888757142653e-17,4.769786760334337e-17,4.740862487050714e-17,4.712113680185568e-17,4.683539274853773e-17,4.6551382126356775e-17,4.626909441537707e-17,4.598851915953534e-17,4.5709645966251315e-17,4.543246450604259e-17,4.515696451214128e-17,4.488313578011318e-17,4.461096816747901e-17,4.434045159333851e-17,4.40715760379951e-17,4.380433154258599e-17,4.3538708208711453e-17,4.3274696198067866e-17,4.301228573208272e-17,4.275146709155171e-17,4.2492230616278255e-17,4.223456670471501e-17,4.1978465813607915e-17,4.172391845764101e-17,4.147091520908627e-17,4.1219446697452576e-17,4.0969503609138445e-17,4.072107668708648e-17,4.0474156730439826e-17,4.022873459420094e-17,3.9984801188892575e-17,3.974234748021931e-17,3.9501364488734263e-17,3.9261843289504687e-17,3.9023775011781183e-17,3.8787150838668664e-17,3.855196200679915e-17,3.831819980600674e-17,3.808585557900443e-17,3.7854920721063305e-17,3.7625386679692103e-17,3.739724495432169e-17,3.717048709598849e-17,3.6945104707021505e-17,3.67210894407306e-17,3.649843300109696e-17,3.6277127142465355e-17,3.605716366923848e-17,3.583853443557183e-17,3.5621231345073227e-17,3.540524635050131e-17,3.519057145346734e-17,3.4977198704138433e-17,3.476512020094276e-17,3.455432809027638e-17,3.434481456621187e-17,3.413657187020907e-17,3.3929592290826323e-17,3.372386816343582e-17,3.351939186993841e-17,3.331615583848114e-17,3.31141525431765e-17,3.2913374503823165e-17,3.271381428562864e-17,3.25154644989336e-17,3.231831779893696e-17,3.212236688542475e-17,3.192760450249844e-17,3.1734023438306077e-17,3.1541616524774677e-17,3.135037663734445e-17,3.116029669470451e-17,3.097136965853021e-17,3.078358853322226e-17,3.059694636564651e-17,3.04114362448772e-17,3.02270513019399e-17,3.004378470955684e-17,2.98616296818938e-17,2.968057947430827e-17,2.9500627383099525e-17,2.9321766745259945e-17,2.914399093822721e-17,2.896729337963992e-17,2.8791667527092556e-17,2.8617106877893086e-17,2.844360496882184e-17,2.8271155375891663e-17,2.809975171410982e-17,2.7929387637241106e-17,2.7760056837572645e-17,2.7591753045679285e-17,2.742447003019211e-17,2.7258201597566702e-17,2.7092941591853518e-17,2.692868389446969e-17,2.6765422423972002e-17,2.660315113583144e-17,2.6441864022209183e-17,2.6281555111733053e-17,2.612221846927716e-17,2.5963848195741075e-17,2.580643842783127e-17,2.5649983337843613e-17,2.5494477133447328e-17,2.533991405747013e-17,2.518628838768475e-17,2.5033594436596903e-17,2.4881826551233665e-17,2.4730979112934916e-17,2.458104653714424e-17,2.4432023273202062e-17,2.4283903804139767e-17,2.41366826464751e-17,2.399035435000893e-17,2.3844913497623156e-17,2.3700354705079272e-17,2.3556672620819683e-17,2.3413861925768582e-17,2.327191733313489e-17,2.313083358821619e-17,2.2990605468203918e-17,2.285122778198964e-17,2.2712695369972626e-17,2.2575003103868646e-17,2.243814588651918e-17,2.2302118651703368e-17,2.2166916363949536e-17,2.203253401834864e-17,2.189896664036866e-17,2.1766209285670176e-17,2.163425703992301e-17,2.1503105018624208e-17,2.137274836691623e-17,2.124318225940796e-17,2.1114401899995134e-17,2.0986402521682607e-17,2.0859179386407694e-17,2.0732727784864445e-17,2.0607043036329042e-17,2.0482120488486254e-17,2.035795551725708e-17,2.0234543526626722e-17,2.0111879948475093e-17,1.998996024240678e-17,1.9868779895582923e-17,1.9748334422553893e-17,1.9628619365092933e-17,1.9509630292030937e-17,1.9391362799092086e-17,1.927381250873077e-17,1.9156975069968723e-17,1.9040846158234472e-17,1.8925421475202546e-17,1.881069674863421e-17,1.8696667732219052e-17,1.8583330205417617e-17,1.8470679973304863e-17,1.8358712866414848e-17,1.824742474058556e-17,1.8136811476806112e-17,1.8026868981063485e-17,1.7917593184190923e-17,1.780898004171699e-17,1.7701025533715762e-17,1.7593725664657684e-17,1.7487076463261506e-17,1.7381073982347164e-17,1.7275714298688972e-17,1.7170993512870914e-17,1.706690774914159e-17,1.6963453155270667e-17,1.6860625902406083e-17,1.6758422184932092e-17,1.665683822032819e-17,1.6555870249029018e-17,1.6455514534284536e-17,1.635576736202221e-17,1.625662504070881e-17,1.6158083901213755e-17,1.6060140296673064e-17,1.596279060235418e-17,1.586603121552159e-17,1.5769858555303307e-17,1.5674269062558218e-17,1.5579259199743697e-17,1.5484825450785198e-17,1.5390964320945394e-17,1.5297672336694854e-17,1.5204946045583166e-17,1.5112782016111055e-17,1.5021176837603173e-17,1.4930127120081736e-17,1.4839629494140495e-17,1.474968061082044e-17,1.4660277141485293e-17,1.4571415777698187e-17,1.448309323109906e-17,1.4395306233282766e-17,1.4308051535677914e-17,1.42213259094265e-17,1.4135126145264268e-17,1.4049449053401428e-17,1.396429146340498e-17,1.38796502240808e-17,1.3795522203356988e-17,1.3711904288167735e-17,1.3628793384337963e-17,1.3546186416468657e-17,1.3464080327822922e-17,1.3382472080212367e-17,1.3301358653885043e-17,1.322073704741317e-17,1.3140604277581955e-17,1.306095737927901e-17,1.2981793405384546e-17,1.2903109426662048e-17,1.2824902531649777e-17,1.2747169826552922e-17,1.2669908435136013e-17,1.2593115498616835e-17,1.2516788175560168e-17,1.244092364177251e-17,1.236551909019746e-17,1.2290571730811671e-17,1.221607879052143e-17,1.2142037513060004e-17,1.2068445158885129e-17,1.1995299005078018e-17,1.1922596345242076e-17,1.1850334489402731e-17,1.1778510763907709e-17,1.1707122511327964e-17,1.1636167090359204e-17,1.1565641875724001e-17,1.1495544258074585e-17,1.1425871643895821e-17,1.135662145540959e-17,1.1287791130478924e-17,1.1219378122513173e-17,1.1151379900373582e-17,1.1083793948279554e-17,1.1016617765715373e-17,1.0949848867337672e-17,1.088348478288295e-17,1.081752305707657e-17,1.0751961249541443e-17,1.068679693470765e-17,1.0622027701722595e-17,1.0557651154361653e-17,1.0493664910939379e-17,1.0430066604221244e-17,1.0366853881336023e-17,1.0304024403688255e-17,1.0241575846872121e-17,1.0179505900584916e-17,1.011781226854159e-17,1.0056492668389634e-17,9.995544831624521e-18,9.934966503505635e-18,9.874755442972799e-18,9.814909422562949e-18,9.755426228328065e-18,9.696303659752799e-18,9.63753952967303e-18,9.57913166419484e-18,9.521077902613954e-18,9.463376097335678e-18,9.406024113795327e-18,9.349019830379217e-18,9.292361138345768e-18,9.236045941747788e-18,9.180072157354542e-18,9.124437714574636e-18,9.069140555379293e-18,9.014178634226119e-18,8.959549917983297e-18,8.905252385854328e-18,8.851284029302907e-18,8.797642851978895e-18,8.744326869644086e-18,8.691334110098776e-18,8.638662613108672e-18,8.586310430332294e-18,8.534275625248754e-18,8.482556273086045e-18,8.431150460749789e-18,8.380056286752087e-18,8.329271861141481e-18,8.278795305432642e-18,8.228624752536879e-18,8.178758346692967e-18,8.129194243398357e-18,8.07993060934088e-18,8.03096562233088e-18,7.982297471233455e-18,7.933924355901749e-18,7.88584448710998e-18,7.838056086487252e-18,7.790557386451664e-18,7.74334663014483e-18,7.696422071366786e-18,7.6497819745113e-18,7.603424614501655e-18,7.557348276726496e-18,7.511551256976662e-18,7.466031861381813e-18,7.420788406347768e-18,7.375819218494096e-18,7.331122634592172e-18,7.286697001503536e-18,7.24254067611871e-18,7.198652025296121e-18,7.155029425801948e-18,7.111671264249733e-18,7.0685759370407e-18,7.025741850304361e-18,6.983167419839443e-18,6.940851071055246e-18,6.898791238913273e-18,6.856986367869347e-18,6.815434911815767e-18,6.7741353340243454e-18,6.733086107089285e-18,6.6922857128706605e-18,6.6517326424381565e-18,6.611425396015218e-18,6.571362482923471e-18,6.531542421527545e-18,6.4919637391800325e-18,6.45262497216721e-18,6.4135246656546265e-18,6.3746613736332775e-18,6.336033658866043e-18,6.2976400928344425e-18,6.25947925568574e-18,6.221549736180341e-18,6.183850131639578e-18,6.146379047893563e-18,6.109135099229835e-18,6.072116908341853e-18,6.03532310627801e-18,5.998752332390961e-18,5.962403234287203e-18,5.926274467776995e-18,5.890364696824617e-18,5.854672593498717e-18,5.8191968379233776e-18,5.783936118229071e-18,5.748889130504105e-18,5.714054578746343e-18,5.679431174815189e-18,5.645017638383901e-18,5.610812696892154e-18,5.576815085498956e-18,5.543023547035654e-18,5.5094368319596046e-18,5.476053698307731e-18,5.442872911650585e-18,5.40989324504662e-18,5.3771134789967494e-18,5.344532401399188e-18,5.312148807504602e-18,5.279961499871337e-18,5.247969288321302e-18,5.216170989895742e-18,5.184565428811467e-18,5.153151436417307e-18,5.121927851150838e-18,5.090893518495356e-18,5.060047290937135e-18,5.0293880279229644e-18,4.998914595817761e-18,4.968625867862814e-18,4.938520724133903e-18,4.908598051499878e-18,4.878856743581423e-18,4.849295700710093e-18,4.819913829887598e-18,4.79071004474534e-18,4.7616832655040834e-18,4.732832418934136e-18,4.7041564383155034e-18,4.6756542633984004e-18,4.647324840364001e-18,4.619167121785412e-18,4.5911800665888896e-18,4.56336264001528e-18,4.535713813581761e-18,4.508232565043591e-18,4.480917878356481e-18,4.453768743638834e-18,4.426784157134376e-18,4.3999631211749955e-18,4.373304644143803e-18,4.346807740438408e-18,4.320471430434459e-18,4.294294740449244e-18,4.2682767027058336e-18,4.2424163552971036e-18,4.216712742150169e-18,4.1911649129909716e-18,4.1657719233090995e-18,4.140532834322818e-18,4.1154467129443e-18,4.090512631745115e-18,4.065729668921778e-18,4.0410969082617845e-18,4.016613439109567e-18,3.992278356332825e-18,3.968090760288997e-18,3.9440497567919544e-18,3.920154457078895e-18,3.896403977777471e-18,3.872797440872959e-18,3.849333973675936e-18,3.826012708789838e-18,3.802832784078889e-18,3.77979334263618e-18,3.7568935327519276e-18,3.734132507881964e-18,3.711509426616379e-18,3.6890234526484025e-18,3.666673754743334e-18,3.644459506707925e-18,3.62237988735969e-18,3.600434080496529e-18,3.578621274866508e-18,3.556940664137825e-18,3.5353914468689685e-18,3.5139728264790546e-18,3.492684011218247e-18,3.471524214138601e-18,3.4504926530648174e-18,3.4295885505653146e-18,3.4088111339234602e-18,3.388159635108943e-18,3.367633290749358e-18,3.347231342101938e-18,3.3269530350254942e-18,3.3067976199523936e-18,3.2867643518609697e-18,3.266852490247829e-18,3.2470612991004718e-18,3.227390046870046e-18,3.2078380064442644e-18,3.1884044551204883e-18,3.169088674578995e-18,3.1498899508562986e-18,3.1308075743188564e-18,3.111840839636713e-18,3.0929890457574015e-18,3.0742514958800064e-18,3.0556274974293586e-18,3.0371163620304073e-18,3.0187174054827345e-18,3.000429947735248e-18,2.9822533128609244e-18,2.9641868290319176e-18,2.9462298284946036e-18,2.9283816475448886e-18,2.910641626503633e-18,2.8930091096922403e-18,2.8754834454083854e-18,2.8580639859019094e-18,2.8407500873507653e-18,2.8235411098373066e-18,2.806436417324521e-18,2.7894353776325026e-18,2.772537362415068e-18,2.7557417471364753e-18,2.7390479110483254e-18,2.722455237166585e-18,2.7059631122487543e-18,2.6895709267711105e-18,2.6732780749062497e-18,2.657083954500593e-18,2.6409879670521143e-18,2.624989517688191e-18,2.609088015143588e-18,2.5932828717385647e-18,2.5775735033571543e-18,2.5619593294254624e-18,2.54643977289029e-18,2.5310142601977088e-18,2.515682221271842e-18,2.500443089493773e-18,2.4852963016805706e-18,2.4702412980644437e-18,2.455277522272029e-18,2.4404044213038118e-18,2.425621445513591e-18,2.410928048588241e-18,2.3963236875274276e-18,2.381807822623518e-18,2.3673799174416198e-18,2.353039438799717e-18,2.338785856748945e-18,2.3246186445539894e-18,2.3105372786735274e-18,2.29654123874095e-18,2.2826300075450425e-18,2.2688030710108554e-18,2.2550599181806792e-18,2.241400041195138e-18,2.2278229352743935e-18,2.214328098699461e-18,2.200915032793665e-18,2.1875832419041134e-18,2.1743322333834548e-18,2.1611615175715816e-18,2.148070607777526e-18,2.135059020261451e-18,2.1221262742167425e-18,2.1092718917522252e-18,2.0964953978744854e-18,2.08379632047024e-18,2.0711741902889472e-18,2.0586285409253896e-18,2.046158908802427e-18,2.033764833153839e-18,2.021445856007278e-18,2.0092015221673205e-18,1.997031379198622e-18,1.9849349774091934e-18,1.9729118698336936e-18,1.960961612216986e-18,1.949083762997639e-18,1.9372778832915982e-18,1.9255435368759476e-18,1.9138802901727696e-18,1.9022877122330967e-18,1.8907653747209872e-18,1.87931285189761e-18,1.8679297206055817e-18,1.85661556025325e-18,1.8453699527991454e-18,1.8341924827365125e-18,1.8230827370779363e-18,1.8120403053400597e-18,1.801064779528396e-18,1.7901557541222446e-18,1.779312826059635e-18,1.7685355947224908e-18,1.7578236619217524e-18,1.747176631882662e-18,1.7365941112301144e-18,1.7260757089741027e-18,1.7156210364952572e-18,1.7052297075304692e-18,1.694901338158557e-18,1.6846355467861332e-18,1.6744319541334382e-18,1.6642901832203155e-18,1.654209859352265e-18,1.6441906101065844e-18,1.6342320653185827e-18,1.624333857067889e-18,1.6144956196648512e-18,1.6047169896369589e-18,1.5949976057154653e-18,1.5853371088219748e-18,1.575735142055171e-18,1.5661913506776075e-18,1.5567053821025891e-18,1.5472768858811251e-18,1.5379055136889723e-18,1.5285909193137068e-18,1.5193327586419807e-18,1.5101306896467473e-18,1.5009843723746169e-18,1.4918934689332817e-18,1.4828576434790148e-18,1.4738765622042431e-18,1.4649498933251998e-18,1.4560773070696619e-18,1.4472584756647065e-18,1.4384930733246449e-18,1.429780776238933e-18,1.4211212625602007e-18,1.4125142123923453e-18,1.4039593077786944e-18,1.3954562326902487e-18,1.387004673013996e-18,1.378604316541255e-18,1.3702548529561797e-18,1.3619559738242465e-18,1.353707372580849e-18,1.3455087445199611e-18,1.3373597867828602e-18,1.3292601983469287e-18,1.321209680014516e-18,1.3132079344018776e-18,1.3052546659281419e-18,1.2973495808044253e-18,1.2894923870229368e-18,1.281682794346172e-18,1.2739205142961907e-18,1.2662052601439356e-18,1.258536746898628e-18,1.2509146912972417e-18,1.2433388117939766e-18,1.2358088285499082e-18,1.2283244634225964e-18,1.2208854399558044e-18,1.2134914833692764e-18,1.2061423205485679e-18,1.19883768003495e-18,1.1915772920153622e-18,1.184360888312444e-18,1.177188202374581e-18,1.1700589692660928e-18,1.1629729256574058e-18,1.1559298098153154e-18,1.1489293615933066e-18,1.1419713224219339e-18,1.1350554352992538e-18,1.1281814447813281e-18,1.1213490969727449e-18,1.1145581395172746e-18,1.107808321588502e-18,1.1010993938805586e-18,1.0944311085989025e-18,1.0878032194511514e-18,1.0812154816379719e-18,1.0746676518440293e-18,1.0681594882289906e-18,1.0616907504185543e-18,1.0552611994956e-18,1.0488705979913275e-18,1.0425187098764757e-18,1.0362053005525964e-18,1.029930136843377e-18,1.023692986986014e-18,1.017493620622652e-18,1.0113318087918323e-18,1.0052073239200688e-18,9.99119939813403e-19,9.930694316490444e-19,9.870555759670578e-19,9.81078150662095e-19,9.751369349751837e-19,9.692317094855621e-19,9.633622561025692e-19,9.575283580575547e-19,9.517297998959e-19,9.459663674690244e-19,9.402378479264719e-19,9.345440297080383e-19,9.28884702535949e-19,9.232596574070812e-19,9.176686865852404e-19,9.121115835934526e-19,9.06588143206368e-19,9.010981614426437e-19,8.95641435557408e-19,8.902177640347622e-19,8.848269465803269e-19,8.79468784113839e-19,8.741430787617833e-19,8.68849633850087e-19,8.635882538968172e-19,8.583587446049919e-19,8.531609128553705e-19,8.479945666993142e-19,8.428595153516932e-19,8.377555691838278e-19,8.326825397164769e-19,8.276402396128748e-19,8.226284826717787e-19,8.176470838206198e-19,8.126958591086347e-19,8.0777462570007025e-19,8.028832018674215e-19,7.980214069847119e-19,7.931890615208142e-19,7.883859870328119e-19,7.83612006159406e-19,7.788669426143346e-19,7.741506211798872e-19,7.694628677004039e-19,7.648035090758395e-19,7.601723732553665e-19,7.555692892310089e-19,7.509940870313204e-19,7.464465977151062e-19,7.419266533651529e-19,7.374340870820529e-19,7.329687329780105e-19,7.285304261707138e-19,7.241190027772392e-19,7.197342999079896e-19,7.153761556606732e-19,7.110444091143165e-19,7.067389003233185e-19,7.024594703115191e-19,6.982059610663469e-19,6.939782155329602e-19,6.897760776084453e-19,6.855993921360417e-19,6.814480048994066e-19,6.773217626169135e-19,6.732205129359909e-19,6.691441044274658e-19,6.650923865799979e-19,6.610652097944932e-19,6.570624253785792e-19,6.530838855411053e-19,6.491294433866801e-19,6.451989529102393e-19,6.412922689916489e-19,6.374092473903433e-19,6.3354974473997305e-19,6.297136185431345e-19,6.259007271660808e-19,6.221109298334904e-19,6.183440866232647e-19,6.146000584613498e-19,6.10878707116601e-19,6.071798951956726e-19,6.035034861379205e-19,5.99849344210383e-19,5.962173345027424e-19,5.926073229223424e-19,5.89019176189231e-19,5.8545276183123305e-19,5.819079481790522e-19,5.783846043614039e-19,5.74882600300181e-19,5.714018067056281e-19,5.679420950715865e-19,5.645033376707279e-19,5.610854075498355e-19,5.576881785251109e-19,5.543115251775095e-19,5.50955322848104e-19,5.4761944763347995e-19,5.443037763811391e-19,5.410081866849707e-19,5.377325568807112e-19,5.344767660414491e-19,5.312406939731561e-19,5.280242212102427e-19,5.248272290111429e-19,5.216495993539239e-19,5.184912149319275e-19,5.153519591494183e-19,5.1223171611729645e-19,5.091303706487982e-19,5.060478082552418e-19,5.02983915141796e-19,4.999385782032719e-19,4.969116850199445e-19,4.939031238533976e-19,4.909127836423816e-19,4.879405539987281e-19,4.849863252032554e-19,4.820499882017175e-19,4.791314346007704e-19,4.7623055666396795e-19,4.733472473077787e-19,4.704814000976266e-19,4.676329092439608e-19,4.648016695983329e-19,4.619875766495287e-19,4.591905265196928e-19,4.564104159604919e-19,4.5364714234929785e-19,4.509006036853957e-19,4.481706985862133e-19,4.454573262835716e-19,4.427603866199665e-19,4.400797800448527e-19,4.374154076109819e-19,4.347671709707347e-19,4.3213497237248776e-19,4.2951871465700084e-19,4.2691830125382573e-19,4.24333636177737e-19,4.2176462402518707e-19,4.1921116997076735e-19,4.166731797637237e-19,4.141505597244573e-19,4.116432167410686e-19,4.0915105826591405e-19,4.066739923121854e-19,4.0421192745051097e-19,4.01764772805576e-19,3.9933243805276565e-19,3.9691483341481715e-19,3.9451186965851735e-19,3.9212345809139377e-19,3.897495105584399e-19,3.8738993943885626e-19,3.850446576428125e-19,3.827135786082294e-19,3.803966162975803e-19,3.7809368519470286e-19,3.7580470030165324e-19,3.735295771355545e-19,3.7126823172547736e-19,3.690205806093357e-19,3.6678654083080315e-19,3.645660299362466e-19,3.6235896597167955e-19,3.6016526747973477e-19,3.5798485349664494e-19,3.558176435492656e-19,3.5366355765208965e-19,3.515225163042959e-19,3.4939444048680955e-19,3.472792516593824e-19,3.451768717576905e-19,3.430872231904516e-19,3.4101022883654774e-19,3.389458120421903e-19,3.3689389661807653e-19,3.348544068365783e-19,3.3282726742894113e-19,3.3081240358250447e-19,3.2880974093793656e-19,3.2681920558648615e-19,3.2484072406725405e-19,3.228742233644689e-19,3.2091963090480276e-19,3.1897687455468096e-19,3.170458826176166e-19,3.1512658383156405e-19,3.132189073662831e-19,3.1132278282072268e-19,3.094381402204219e-19,3.075649100149147e-19,3.057030230751727e-19,3.0385241069104366e-19,3.0201300456871246e-19,3.0018473682817875e-19,2.983675400007491e-19,2.965613470265423e-19,2.9476609125201316e-19,2.9298170642749035e-19,2.912081267047203e-19,2.894452866344474e-19,2.87693121163986e-19,2.8595156563481967e-19,2.842205557802116e-19,2.8250002772282987e-19,2.8078991797238744e-19,2.7909016342329803e-19,2.7740070135233617e-19,2.7572146941633167e-19,2.740524056498587e-19,2.723934484629467e-19,2.707445366388065e-19,2.6910560933156706e-19,2.6747660606402757e-19,2.658574667254233e-19,2.6424813156920617e-19,2.6264854121082955e-19,2.610586366255653e-19,2.5947835914631594e-19,2.579076504614485e-19,2.5634645261263967e-19,2.547947079927353e-19,2.5325235934362083e-19,2.5171934975410877e-19,2.501956226578273e-19,2.4868112183114256e-19,2.4717579139107315e-19,2.4567957579322784e-19,2.441924198297531e-19,2.42714268627293e-19,2.412450676449628e-19,2.397847626723328e-19,2.383332998274279e-19,2.368906255547299e-19,2.354566866232088e-19,2.3403143012434956e-19,2.326148034701992e-19,2.312067543914237e-19,2.2980723093537687e-19,2.2841618146418107e-19,2.2703355465282123e-19,2.2565929948724176e-19,2.2429336526247205e-19,2.2293570158074624e-19,2.215862583496436e-19,2.20244985780237e-19,2.189118343852545e-19,2.175867549772505e-19,2.1626969866678838e-19,2.1496061686063653e-19,2.1365946125996676e-19,2.123661838585788e-19,2.110807369411214e-19,2.098030730813305e-19,2.085331451402774e-19,2.0727090626462753e-19,2.060163098849092e-19,2.0476930971379491e-19,2.0352985974438566e-19,2.0229791424851981e-19,2.0107342777507825e-19,1.9985635514830656e-19,1.9864665146614661e-19,1.9744427209857723e-19,1.96249172685966e-19,1.950613091374305e-19,1.9388063762921036e-19,1.9270711460304376e-19,1.915406967645661e-19,1.9038134108170516e-19,1.8922900478309336e-19,1.8808364535648682e-19,1.8694522054719606e-19,1.8581368835652447e-19,1.8468900704021832e-19,1.835711351069197e-19,1.8246003131664132e-19,1.8135565467923846e-19,1.8025796445289568e-19,1.7916692014262202e-19,1.780824814987554e-19,1.7700460851547534e-19,1.759332614293257e-19,1.74868400717747e-19,1.7380998709761138e-19,1.7275798152377934e-19,1.7171234518765223e-19,1.7067303951574016e-19,1.6964002616823713e-19,1.6861326703760506e-19,1.6759272424716585e-19,1.665783601497038e-19,1.6557013732607021e-19,1.6456801858380838e-19,1.6357196695577511e-19,1.6258194569877645e-19,1.6159791829221044e-19,1.6061984843671843e-19,1.5964770005284422e-19,1.5868143727970126e-19,1.5772102447364939e-19,1.56766426206974e-19,1.5581760726658393e-19,1.5487453265270659e-19,1.5393716757759635e-19,1.5300547746424947e-19,1.5207942794512725e-19,1.5115898486088666e-19,1.5024411425911957e-19,1.4933478239309466e-19,1.4843095572051743e-19,1.4753260090228695e-19,1.4663968480126554e-19,1.4575217448105525e-19,1.4487003720478103e-19,1.4399324043388188e-19,1.4312175182690899e-19,1.4225553923833233e-19,1.413945707173493e-19,1.4053881450671105e-19,1.3968823904154511e-19,1.388428129481911e-19,1.3800250504304163e-19,1.3716728433139093e-19,1.363371200062902e-19,1.3551198144741019e-19,1.3469183821990768e-19,1.3387666007330574e-19,1.3306641694037436e-19,1.3226107893601935e-19,1.3146061635617998e-19,1.3066499967673121e-19,1.2987419955239368e-19,1.290881868156499e-19,1.283069324756679e-19,1.2753040771722703e-19,1.2675858389965952e-19,1.2599143255578855e-19,1.2522892539087848e-19,1.2447103428158955e-19,1.237177312749396e-19,1.2296898858727152e-19,1.2222477860322818e-19,1.2148507387472925e-19,1.207498471199627e-19,1.200190712223739e-19,1.192927192296649e-19,1.1857076435279952e-19,1.1785317996501376e-19,1.1713993960083268e-19,1.16431016955093e-19,1.1572638588197254e-19,1.1502602039402148e-19,1.1432989466120765e-19,1.136379830099595e-19,1.1295025992221857e-19,1.1226670003449737e-19,1.115872781369429e-19,1.1091196917240565e-19,1.102407482355149e-19,1.0957359057175637e-19,1.0891047157656238e-19,1.0825136679440034e-19,1.0759625191787076e-19,1.0694510278680901e-19,1.0629789538739406e-19,1.0565460585126105e-19,1.0501521045462019e-19,1.043796856173816e-19,1.0374800790228164e-19,1.0312015401402165e-19,1.0249610079840524e-19,1.0187582524148376e-19,1.0125930446870663e-19,1.0064651574407668e-19,1.0003743646931083e-19,9.943204418300598e-20,9.883031655980726e-20,9.823223140958769e-20,9.76377666766261e-20,9.704690043879348e-20,9.645961090674323e-20,9.587587642310736e-20,9.529567546169598e-20,9.471898662670309e-20,9.414578865191709e-20,9.35760603999329e-20,9.300978086137528e-20,9.244692915412106e-20,9.188748452252809e-20,9.133142633666942e-20,9.07787340915714e-20,9.022938740645656e-20,8.968336602399189e-20,8.914064980953833e-20,8.860121875041114e-20,8.806505295513849e-20,8.753213265272772e-20,8.70024381919354e-20,8.647595004054167e-20,8.595264878462927e-20,8.543251512786675e-20,8.491552989079647e-20,8.440167401012432e-20,8.389092853801939e-20,8.338327464141208e-20,8.287869360129923e-20,8.237716681205347e-20,8.18786757807356e-20,8.13832021264126e-20,8.089072757947909e-20,8.040123398098073e-20,7.991470328194727e-20,7.943111754272394e-20,7.895045893230966e-20,7.847270972769862e-20,7.799785231322641e-20,7.75258691799192e-20,7.705674292484758e-20,7.659045625048467e-20,7.612699196406533e-20,7.566633297695466e-20,7.520846230401501e-20,7.475336306297939e-20,7.430101847382854e-20,7.385141185817098e-20,7.340452663862771e-20,7.296034633822062e-20,7.251885457976208e-20,7.208003508525354e-20,7.164387167528257e-20,7.121034826842605e-20,7.077944888065653e-20,7.035115762475215e-20,6.992545870971023e-20,6.950233644016421e-20,6.908177521580496e-20,6.866375953080269e-20,6.824827397323775e-20,6.783530322452942e-20,6.742483205887129e-20,6.701684534266903e-20,6.661132803398164e-20,6.620826518196641e-20,6.58076419263274e-20,6.540944349676489e-20,6.501365521243327e-20,6.462026248139694e-20,6.422925080009238e-20,6.384060575279252e-20,6.345431301107498e-20,6.307035833329275e-20,6.268872756404879e-20,6.23094066336739e-20,6.19323815577055e-20,6.155763843637426e-20,6.118516345408908e-20,6.081494287892773e-20,6.044696306212987e-20,6.008121043759328e-20,5.971767152137319e-20,5.935633291118491e-20,5.899718128590742e-20,5.864020340509431e-20,5.828538610848333e-20,5.793271631551104e-20,5.758218102483e-20,5.72337673138289e-20,5.688746233815556e-20,5.654325333124294e-20,5.62011276038382e-20,5.586107254353267e-20,5.552307561429912e-20,5.518712435602694e-20,5.485320638406306e-20,5.45213093887546e-20,5.419142113499463e-20,5.3863529461770565e-20,5.3537622281715773e-20,5.321368758066168e-20,5.2891713417196946e-20,5.25716879222251e-20,5.2253599298526625e-20,5.1937435820323873e-20,5.1623185832848167e-20,5.131083775190952e-20,5.100038006346929e-20,5.0691801323215514e-20,5.038509015613897e-20,5.008023525611576e-20,4.977722538548838e-20,4.947604937465139e-20,4.917669612163922e-20,4.8879154591716477e-20,4.858341381697054e-20,4.8289462895907246e-20,4.7997290993047137e-20,4.770688733852764e-20,4.741824122770422e-20,4.713134202075566e-20,4.684617914229137e-20,4.6562742080961144e-20,4.628102038906716e-20,4.600100368217854e-20,4.572268163874825e-20,4.5446043999731064e-20,4.517108056820679e-20,4.4897781209002715e-20,4.4626135848319877e-20,4.435613447336127e-20,4.408776713196243e-20,4.3821023932224045e-20,4.3555895042147215e-20,4.329237068926951e-20,4.3030441160306086e-20,4.277009680078994e-20,4.251132801471608e-20,4.22541252641873e-20,4.199847906906225e-20,4.174438000660557e-20,4.149181871114013e-20,4.12407858737018e-20,4.0991272241694696e-20,4.074326861855145e-20,4.0496765863392817e-20,4.0251754890690414e-20,4.000822666993171e-20,3.9766172225286576e-20,3.9525582635276163e-20,3.9286449032444017e-20,3.9048762603027576e-20,3.881251458663476e-20,3.857769627591951e-20,3.834429901626084e-20,3.811231420544332e-20,3.788173329333982e-20,3.765254778159591e-20,3.742474922331631e-20,3.7198329222753387e-20,3.697327943499646e-20,3.674959156566526e-20,3.6527257370602936e-20,3.6306268655572077e-20,3.608661727595236e-20,3.5868295136440076e-20,3.565129419074925e-20,3.54356064413152e-20,3.522122393899825e-20,3.5008138782792106e-20,3.479634311953112e-20,3.4585829143600974e-20,3.437658909665045e-20,3.416861526730538e-20,3.3961899990883937e-20,3.3756435649113934e-20,3.355221466985192e-20,3.33492295268028e-20,3.3147472739243677e-20,3.2946936871746715e-20,3.274761453390523e-20,3.254949838006083e-20,3.235258110903246e-20,3.215685546384705e-20,3.1962314231471876e-20,3.1768950242547655e-20,3.1576756371125246e-20,3.138572553440195e-20,3.119585069246028e-20,3.1007124848008354e-20,3.0819541046121603e-20,3.063309237398625e-20,3.044777196064425e-20,3.0263572976739944e-20,3.0080488634267233e-20,2.989851218632051e-20,2.97176369268448e-20,2.9537856190388566e-20,2.9359163351857836e-20,2.918155182627168e-20,2.9005015068519353e-20,2.8829546573119017e-20,2.86551398739768e-20,2.848178854414964e-20,2.830948619560721e-20,2.813822647899649e-20,2.7968003083407564e-20,2.7798809736140696e-20,2.763064020247501e-20,2.74634882854384e-20,2.7297347825579125e-20,2.7132212700737805e-20,2.696807682582271e-20,2.6804934152584502e-20,2.6642778669393243e-20,2.6481604401016724e-20,2.6321405408399912e-20,2.6162175788445892e-20,2.6003909673798306e-20,2.5846601232624112e-20,2.5690244668399557e-20,2.5534834219695648e-20,2.5380364159965672e-20,2.5226828797334087e-20,2.5074222474386457e-20,2.492253956796072e-20,2.4771774488939813e-20,2.4621921682045647e-20,2.4472975625633432e-20,2.4324930831489073e-20,2.4177781844626003e-20,2.4031523243084097e-20,2.388614963772969e-20,2.374165567205677e-20,2.3598036021989343e-20,2.345528539568525e-20,2.331339853334024e-20,2.3172370206994994e-20,2.3032195220341546e-20,2.2892868408531808e-20,2.2754384637987028e-20,2.2616738806208428e-20,2.2479925841588963e-20,2.2343940703226256e-20,2.2208778380736817e-20,2.207443389407053e-20,2.1940902293328032e-20,2.180817865857728e-20,2.1676258099672426e-20,2.154513575607332e-20,2.141480679666629e-20,2.1285266419585817e-20,2.1156509852037716e-20,2.102853235012236e-20,2.0901329198660637e-20,2.0774895711019456e-20,2.064922722893895e-20,2.0524319122360723e-20,2.0400166789257018e-20,2.027676565546098e-20,2.015411117449796e-20,2.003219882741789e-20,1.9911024122628095e-20,1.9790582595728467e-20,1.9670869809346194e-20,1.9551881352972222e-20,1.9433612842798657e-20,1.9316059921556926e-20,1.9199218258357188e-20,1.9083083548528694e-20,1.8967651513460402e-20,1.885291790044408e-20,1.8738878482516824e-20,1.8625529058305326e-20,1.851286545187091e-20,1.8400883512555486e-20,1.828957911482848e-20,1.817894815813467e-20,1.806898656674305e-20,1.7959690289596004e-20,1.7851055300160668e-20,1.7743077596279913e-20,1.7635753200024826e-20,1.7529078157548026e-20,1.7423048538937825e-20,1.7317660438073293e-20,1.72129099724803e-20,1.7108793283187835e-20,1.700530653458641e-20,1.6902445914286145e-20,1.680020763297622e-20,1.6698587924285165e-20,1.659758304464192e-20,1.6497189273137807e-20,1.6397402911389258e-20,1.629822028340156e-20,1.6199637735432795e-20,1.6101651635859808e-20,1.6004258375043766e-20,1.5907454365197205e-20,1.5811236040251654e-20,1.571559985572617e-20,1.562054228859656e-20,1.552605983716563e-20,1.5432149020933554e-20,1.533880638047018e-20,1.5246028477287012e-20,1.5153811893710536e-20,1.5062153232756125e-20,1.497104911800283e-20,1.4880496193468807e-20,1.4790491123487552e-20,1.4701030592585053e-20,1.4612111305357006e-20,1.4523729986347997e-20,1.4435883379930253e-20,1.4348568250183684e-20,1.4261781380776562e-20,1.4175519574846894e-20,1.4089779654884545e-20,1.400455846261414e-20,1.391985285887823e-20,1.3835659723522064e-20,1.375197595527821e-20,1.366879847165222e-20,1.3586124208808996e-20,1.3503950121459786e-20,1.3422273182749891e-20,1.3341090384147059e-20,1.3260398735330594e-20,1.3180195264080758e-20,1.3100477016169707e-20,1.302124105525217e-20,1.2942484462757267e-20,1.2864204337780903e-20,1.2786397796978762e-20,1.2709061974460017e-20,1.2632194021681704e-20,1.2555791107343363e-20,1.2479850417283128e-20,1.2404369154373632e-20,1.2329344538418938e-20,1.2254773806052035e-20,1.2180654210632895e-20,1.2106983022147257e-20,1.2033757527105913e-20,1.1960975028444753e-20,1.1888632845424982e-20,1.1816728313534745e-20,1.1745258784390594e-20,1.1674221625639853e-20,1.1603614220863622e-20,1.1533433969480242e-20,1.1463678286649436e-20,1.1394344603177064e-20,1.1325430365420084e-20,1.1256933035192859e-20,1.118885008967325e-20,1.1121179021309681e-20,1.1053917337728677e-20,1.0987062561642962e-20,1.09206122307601e-20,1.0854563897691737e-20,1.0788915129863431e-20,1.0723663509424624e-20,1.0658806633159994e-20,1.0594342112400498e-20,1.0530267572935418e-20,1.0466580654924768e-20,1.0403279012812351e-20,1.0340360315239201e-20,1.0277822244957777e-20,1.0215662498746156e-20,1.015387878732361e-20,1.0092468835265871e-20,1.0031430380921333e-20,9.970761176327642e-21,9.910458987128828e-21,9.850521592492932e-21,9.790946785030103e-21,9.731732370711304e-21,9.672876168787128e-21,9.614376011707808e-21,9.55622974504305e-21,9.49843522740263e-21,9.440990330357489e-21,9.383892938361225e-21,9.327140948672107e-21,9.270732271275562e-21,9.214664828807166e-21,9.158936556475801e-21,9.103545401987939e-21,9.048489325471684e-21,8.993766299401672e-21,8.939374308524278e-21,8.885311349783352e-21,8.831575432246353e-21,8.77816457703102e-21,8.725076817232174e-21,8.672310197849556e-21,8.619862775715521e-21,8.567732619423459e-21,8.515917809256584e-21,8.464416437117179e-21,8.413226606456218e-21,8.362346432203488e-21,8.311774040698125e-21,8.261507569619303e-21,8.211545167917955e-21,8.161884995748285e-21,8.112525224399978e-21,8.063464036230822e-21,8.014699624599681e-21,7.966230193799887e-21,7.918053958993114e-21,7.87016914614333e-21,7.822573991951778e-21,7.775266743791703e-21,7.728245659643811e-21,7.681509008032076e-21,7.63505506795988e-21,7.588882128846582e-21,7.542988490464458e-21,7.497372462876086e-21,7.45203236637182e-21,7.406966531408197e-21,7.362173298546189e-21,7.317651018390066e-21,7.27339805152661e-21,7.229412768464663e-21,7.18569354957508e-21,7.142238785031067e-21,7.09904687474863e-21,7.0561162283279e-21,7.013445264994314e-21,6.971032413540381e-21,6.928876112267773e-21,6.88697480892975e-21,6.845326960673947e-21,6.803931033985506e-21,6.762785504630589e-21,6.721888857600003e-21,6.681239587053639e-21,6.6408361962647824e-21,6.60067719756498e-21,6.560761112289213e-21,6.521086470721385e-21,6.481651812040151e-21,6.442455684265109e-21,6.403496644203112e-21,6.364773257395331e-21,6.3262840980642024e-21,6.288027749060933e-21,6.250002801813238e-21,6.212207856273439e-21,6.174641520866859e-21,6.137302412440529e-21,6.100189156212238e-21,6.063300385719701e-21,6.026634742770448e-21,5.990190877391581e-21,5.953967447780071e-21,5.917963120253299e-21,5.882176569199891e-21,5.846606477030858e-21,5.811251534131082e-21,5.7761104388108785e-21,5.741181897258267e-21,5.706464623491105e-21,5.671957339309757e-21,5.63765877424996e-21,5.603567665536007e-21,5.569682758034201e-21,5.536002804206599e-21,5.5025265640650794e-21,5.4692528051254485e-21,5.4361803023622955e-21,5.403307838163653e-21,5.370634202286171e-21,5.338158191810514e-21,5.3058786110970185e-21,5.273794271741631e-21,5.2419039925321475e-21,5.2102065994045304e-21,5.178700925399842e-21,5.147385810621121e-21,5.116260102190639e-21,5.0853226542074315e-21,5.0545723277050616e-21,5.0240079906096255e-21,4.993628517698054e-21,4.963432790556671e-21,4.9334196975398254e-21,4.903588133729135e-21,4.873937000892638e-21,4.844465207444338e-21,4.8151716684039786e-21,4.786055305357063e-21,4.7571150464151004e-21,4.728349826176151e-21,4.69975858568541e-21,4.671340272396397e-21,4.643093840132024e-21,4.61501824904608e-21,4.587112465584901e-21,4.559375462449287e-21,4.531806218556641e-21,4.5044037190033445e-21,4.477166955027373e-21,4.450094923971008e-21,4.423186629244074e-21,4.396441080287082e-21,4.369857292534751e-21,4.343434287379744e-21,4.3171710921365856e-21,4.291066740005817e-21,4.265120270038422e-21,4.2393307271002564e-21,4.213697161837069e-21,4.188218630639363e-21,4.162894195607682e-21,4.137722924518021e-21,4.112703890787499e-21,4.087836173440188e-21,4.063118857073196e-21,4.0385510318229524e-21,4.014131793331562e-21,3.989860242713659e-21,3.965735486523166e-21,3.941756636720392e-21,3.917922810639323e-21,3.8942331309550756e-21,3.87068672565159e-21,3.847282727989508e-21,3.824020276474135e-21,3.800898514823849e-21,3.777916591938442e-21,3.7550736618677965e-21,3.732368883780696e-21,3.709801421933845e-21,3.687370445641086e-21,3.665075129242773e-21,3.642914652075388e-21,3.6208881984411834e-21,3.5989949575782925e-21,3.577234123630746e-21,3.555604895618801e-21,3.5341064774094355e-21,3.512738077687002e-21,3.491498909924077e-21,3.470388192352503e-21,3.449405147934483e-21,3.428549004334096e-21,3.407818993888743e-21,3.3872143535808796e-21,3.366734325009911e-21,3.346378154364245e-21,3.3261450923935028e-21,3.3060343943809355e-21,3.2860453201159887e-21,3.2661771338669437e-21,3.2464291043539493e-21,3.2268005047219778e-21,3.207290612514075e-21,3.1878987096447342e-21,3.1686240823734428e-21,3.14946602127838e-21,3.130423821230305e-21,3.1114967813664835e-21,3.0926842050650025e-21,3.0739853999190053e-21,3.055399677711218e-21,3.036926354388578e-21,3.0185647500370315e-21,3.0003141888564992e-21,2.982173999135951e-21,2.9641435132287006e-21,2.9462220675277137e-21,2.9284090024412808e-21,2.91070366236864e-21,2.8931053956758398e-21,2.875613554671725e-21,2.8582274955840825e-21,2.8409465785359192e-21,2.8237701675219066e-21,2.8066976303848656e-21,2.789728338792604e-21,2.7728616682146808e-21,2.7560969978994166e-21,2.73943371085103e-21,2.7228711938068967e-21,2.7064088372149657e-21,2.690046035211295e-21,2.6737821855977517e-21,2.657616689819749e-21,2.641548952944314e-21,2.6255783836380837e-21,2.6097043941455466e-21,2.5939264002673875e-21,2.5782438213389645e-21,2.5626560802089107e-21,2.547162603217902e-21,2.5317628201774385e-21,2.5164561643489563e-21,2.5012420724228697e-21,2.4861199844978404e-21,2.4710893440601496e-21,2.456149597963197e-21,2.441300196407118e-21,2.4265405929185382e-21,2.41187024433045e-21,2.3972886107621395e-21,2.382795155599397e-21,2.3683893454746826e-21,2.3540706502474935e-21,2.3398385429848328e-21,2.3256924999417997e-21,2.3116320005422962e-21,2.2976565273598627e-21,2.2837655660985523e-21,2.269958605574088e-21,2.2562351376949582e-21,2.2425946574437227e-21,2.229036662858403e-21,2.2155606550139984e-21,2.2021661380041005e-21,2.1888526189226235e-21,2.1756196078456707e-21,2.1624666178134178e-21,2.14939316481227e-21,2.136398767756972e-21,2.1234829484728976e-21,2.1106452316784387e-21,2.0978851449674953e-21,2.085202218792075e-21,2.0725959864450135e-21,2.060065984042717e-21,2.0476117505081696e-21,2.0352328275538855e-21,2.0229287596650472e-21,2.0106990940827212e-21,1.998543380787182e-21,1.986461172481337e-21,1.9744520245742464e-21,1.962515495164765e-21,1.950651145025205e-21,1.938858537585244e-21,1.9271372389157828e-21,1.9154868177129835e-21,1.9039068452823744e-21,1.8923968955230646e-21,1.8809565449120475e-21,1.869585372488612e-21,1.858282959838786e-21,1.8470488910800028e-21,1.835882752845729e-21,1.824784134270254e-21,1.8137526269735515e-21,1.802787825046245e-21,1.7918893250346492e-21,1.781056725925915e-21,1.7702896291332647e-21,1.7595876384812676e-21,1.7489503601913223e-21,1.738377402867095e-21,1.7278683774801254e-21,1.717422897355492e-21,1.70704057815757e-21,1.69672103787588e-21,1.6864638968110226e-21,1.67626877756065e-21,1.6661353050056375e-21,1.656063106296216e-21,1.646051810838255e-21,1.6361010502796095e-21,1.6262104584965573e-21,1.6163796715803083e-21,1.6066083278236057e-21,1.5968960677074165e-21,1.5872425338876369e-21,1.577647371182008e-21,1.5681102265569854e-21,1.5586307491147448e-21,1.5492085900802633e-21,1.539843402788471e-21,1.5305348426714827e-21,1.5212825672459226e-21,1.5120862361002595e-21,1.5029455108823415e-21,1.4938600552868886e-21,1.4848295350431161e-21,1.4758536179024277e-21,1.466931973626173e-21,1.458064273973489e-21,1.4492501926892123e-21,1.4404894054918697e-21,1.431781590061697e-21,1.4231264260288294e-21,1.4145235949614603e-21,1.4059727803541265e-21,1.3974736676160492e-21,1.3890259440595501e-21,1.3806292988885356e-21,1.3722834231870592e-21,1.3639880099079046e-21,1.3557427538613408e-21,1.34754735170384e-21,1.3394015019269166e-21,1.3313049048460224e-21,1.3232572625895134e-21,1.3152582790876761e-21,1.3073076600618257e-21,1.2994051130134797e-21,1.2915503472135442e-21,1.283743073691669e-21,1.2759830052255642e-21,1.2682698563304333e-21,1.26060334324846e-21,1.2529831839383594e-21,1.2454090980649893e-21,1.2378808069890376e-21,1.2303980337567234e-21,1.2229605030896542e-21,1.2155679413746507e-21,1.2082200766536787e-21,1.2009166386138374e-21,1.193657358577404e-21,1.1864419694919374e-21,1.1792702059204453e-21,1.1721418040316197e-21,1.1650565015900844e-21,1.1580140379467921e-21,1.151014154029389e-21,1.1440565923326858e-21,1.137141096909174e-21,1.1302674133596016e-21,1.1234352888236016e-21,1.1166444719703959e-21,1.1098947129895002e-21,1.103185763581578e-21,1.0965173769492645e-21,1.0898893077880867e-21,1.0833013122774275e-21,1.0767531480715518e-21,1.0702445742906803e-21,1.0637753515121203e-21,1.0573452417614549e-21,1.0509540085037532e-21,1.0446014166349026e-21,1.0382872324729264e-21,1.0320112237493777e-21,1.025773159600797e-21,1.0195728105602037e-21,1.0134099485486504e-21,1.0072843468668304e-21,1.0011957801867034e-21,9.951440245432377e-22,9.891288573261388e-22,9.831500572716567e-22,9.77207404454442e-22,9.71300680279443e-22,9.654296674738632e-22,9.595941500791545e-22,9.537939134430777e-22,9.480287442117672e-22,9.422984303219191e-22,9.366027609929556e-22,9.30941526719268e-22,9.253145192625067e-22,9.197215316439079e-22,9.1416235813668e-22,9.086367942584297e-22,9.031446367636093e-22,8.976856836360718e-22,8.922597340816063e-22,8.86866588520553e-22,8.815060485804519e-22,8.761779170887418e-22,8.708819980654998e-22,8.656180967162228e-22,8.60386019424667e-22,8.551855737456886e-22,8.500165683981996e-22,8.44878813258098e-22,8.39772119351276e-22,8.346962988466592e-22,8.296511650492941e-22,8.2463653239347255e-22,8.196522164359073e-22,8.146980338489141e-22,8.097738024137015e-22,8.0487934101363565e-22,8.000144696275797e-22,7.951790093232641e-22,7.903727822507005e-22,7.855956116356323e-22,7.808473217730279e-22,7.7612773802061645e-22,7.714366867924358e-22,7.667739955524756e-22,7.621394928083014e-22,7.575330081047493e-22,7.529543720176475e-22,7.484034161475802e-22,7.438799731136883e-22,7.393838765475107e-22,7.34914961086839e-22,7.304730623696628e-22,7.260580170280949e-22,7.216696626823641e-22,7.173078379348356e-22,7.129723823640709e-22,7.086631365189198e-22,7.043799419126526e-22,7.001226410171277e-22,6.958910772569752e-22,6.916850950038596e-22,6.875045395707324e-22,6.833492572061432e-22,6.792190950885763e-22,6.751139013208281e-22,6.710335249244122e-22,6.669778158340092e-22,6.629466248919197e-22,6.589398038426058e-22,6.549572053272096e-22,6.509986828781378e-22,6.47064090913666e-22,6.431532847325817e-22,6.392661205088571e-22,6.354024552863525e-22,6.31562146973562e-22,6.277450543383598e-22,6.2395103700283265e-22,6.2017995543809165e-22,6.164316709591403e-22,6.1270604571977035e-22,6.090029427074876e-22,6.053222257384661e-22,6.016637594525415e-22,5.9802740930821e-22,5.944130415777013e-22,5.908205233420392e-22,5.872497224861531e-22,5.837005076940134e-22,5.801727484437991e-22,5.766663150030929e-22,5.731810784241043e-22,5.697169105389289e-22,5.662736839548125e-22,5.628512720494873e-22,5.594495489664945e-22,5.5606838961055405e-22,5.527076696429621e-22,5.493672654770124e-22,5.460470542734482e-22,5.427469139359429e-22,5.394667231065928e-22,5.362063611614692e-22,5.329657082061677e-22,5.297446450713951e-22,5.265430533085838e-22,5.233608151855324e-22,5.2019781368207245e-22,5.170539324857587e-22,5.139290559875952e-22,5.108230692777614e-22,5.077358581414069e-22,5.046673090544322e-22,5.016173091793133e-22,4.985857463609482e-22,4.955725091225297e-22,4.925774866614414e-22,4.896005688451826e-22,4.866416462073009e-22,4.837006099433843e-22,4.80777351907042e-22,4.778717646059265e-22,4.74983741197779e-22,4.721131754864954e-22,4.692599619182179e-22,4.664239955774498e-22,4.636051721831971e-22,4.608033880851175e-22,4.580185402597247e-22,4.552505263065841e-22,4.524992444445456e-22,4.497645935079986e-22,4.470464729431482e-22,4.443447828043143e-22,4.416594237502558e-22,4.389902970405024e-22,4.363373045317378e-22,4.337003486741764e-22,4.310793325079763e-22,4.284741596596688e-22,4.258847343386129e-22,4.2331096133346885e-22,4.207527460086952e-22,4.1820999430106686e-22,4.1568261271620256e-22,4.131705083251418e-22,4.1067358876091125e-22,4.0819176221513027e-22,4.057249374346302e-22,4.032730237180965e-22,4.0083593091273086e-22,3.984135694109362e-22,3.9600585014700655e-22,3.936126845938662e-22,3.912339847598019e-22,3.8886966318522464e-22,3.865196329394534e-22,3.8418380761751385e-22,3.8186210133695936e-22,3.795544287347103e-22,3.7726070496391476e-22,3.7498084569081503e-22,3.72714767091661e-22,3.7046238584961318e-22,3.682236191516799e-22,3.659983846856693e-22,3.6378660063716054e-22,3.6158818568649213e-22,3.594030590057724e-22,3.5723114025589407e-22,3.5507234958359355e-22,3.529266076185015e-22,3.5079383547022447e-22,3.4867395472544246e-22,3.4656688744502187e-22,3.4447255616114804e-22,3.4239088387447428e-22,3.4032179405129067e-22,3.382652106206975e-22,3.3622105797182085e-22,3.341892609510199e-22,3.3216974485912404e-22,3.3016243544868366e-22,3.2816725892123815e-22,3.261841419245993e-22,3.2421301155015533e-22,3.222537953301779e-22,3.2030642123516917e-22,3.183708176712025e-22,3.164469134772892e-22,3.1453463792276096e-22,3.126339207046658e-22,3.107446919451818e-22,3.088668821890456e-22,3.0700042240099807e-22,3.051452439632362e-22,3.0330127867289996e-22,3.0146845873955463e-22,2.996467167826981e-22,2.9783598582928177e-22,2.9603619931124494e-22,2.942472910630666e-22,2.924691953193317e-22,2.9070184671230335e-22,2.8894518026952994e-22,2.871991314114455e-22,2.854636359489956e-22,2.8373863008127594e-22,2.8202405039318356e-22,2.803198338530845e-22,2.7862591781049324e-22,2.769422399937702e-22,2.7526873850782194e-22,2.7360535183183605e-22,2.7195201881700855e-22,2.7030867868429674e-22,2.6867527102218214e-22,2.6705173578444765e-22,2.6543801328796837e-22,2.638340442105169e-22,2.622397695885737e-22,2.606551308151677e-22,2.590800696377134e-22,2.5751452815586864e-22,2.559584488194041e-22,2.544117744260861e-22,2.5287444811957134e-22,2.513464133873154e-22,2.4982761405849455e-22,2.4831799430193244e-22,2.4681749862405586e-22,2.453260718668461e-22,2.4384365920581113e-22,2.423702061479684e-22,2.409056585298397e-22,2.394499625154584e-22,2.380030645943899e-22,2.365649115797566e-22,2.351354506062905e-22,2.3371462912838176e-22,2.3230239491814686e-22,2.3089869606350655e-22,2.2950348096627665e-22,2.2811669834026885e-22,2.2673829720940416e-22,2.2536822690583865e-22,2.2400643706809284e-22,2.226528776392085e-22,2.213074988649006e-22,2.1997025129172783e-22,2.186410857652736e-22,2.1731995342833727e-22,2.1600680571913654e-22,2.147015943695211e-22,2.134042714031975e-22,2.1211478913395863e-22,2.1083310016393825e-22,2.095591573818608e-22,2.0829291396130961e-22,2.0703432335900465e-22,2.0578333931308887e-22,2.0453991584142792e-22,2.0330400723991813e-22,2.0207556808080044e-22,2.0085455321099702e-22,1.9964091775044475e-22,1.9843461709044494e-22,1.9723560689202272e-22,1.9604384308429555e-22,1.948592818628514e-22,1.9368187968813788e-22,1.9251159328386143e-22,1.9134837963538946e-22,1.901921959881767e-22,1.89042999846186e-22,1.8790074897032678e-22,1.86765401376901e-22,1.8563691533605843e-22,1.8451524937026164e-22,1.834003622527611e-22,1.822922130060735e-22,1.8119076090048196e-22,1.800959654525323e-22,1.7900778642354512e-22,1.7792618381813562e-22,1.7685111788274161e-22,1.7578254910416195e-22,1.747204382081019e-22,1.736647461577305e-22,1.7261543415223864e-22,1.715724636254198e-22,1.7053579624424573e-22,1.6950539390745786e-22,1.6848121874416565e-22,1.6746323311245305e-22,1.6645139959799414e-22,1.6544568101267782e-22,1.6444604039323464e-22,1.6345244099988485e-22,1.6246484631498128e-22,1.6148322004166795e-22,1.605075261025442e-22,1.5953772863833778e-22,1.5857379200658564e-22,1.5761568078032297e-22,1.5666335974678071e-22,1.557167939060858e-22,1.5477594846998078e-22,1.5384078886053909e-22,1.5291128070889442e-22,1.5198738985397638e-22,1.510690823412539e-22,1.5015632442148608e-22,1.4924908254948204e-22,1.483473233828621e-22,1.4745101378083836e-22,1.4656012080299085e-22,1.456746117080571e-22,1.4479445395272765e-22,1.439196151904488e-22,1.4305006327023326e-22,1.4218576623547693e-22,1.4132669232278458e-22,1.404728099607974e-22,1.396240877690379e-22,1.3878049455675133e-22,1.3794199932175942e-22,1.371085712493199e-22,1.362801797109934e-22,1.3545679426351621e-22,1.3463838464768203e-22,1.3382492078722456e-22,1.330163727877173e-22,1.3221271093546998e-22,1.314139056964365e-22,1.3061992771512843e-22,1.2983074781353582e-22,1.290463369900532e-22,1.2826666641841308e-22,1.2749170744662693e-22,1.2672143159592694e-22,1.2595581055972454e-22,1.251948162025654e-22,1.244384205590953e-22,1.236865958330317e-22,1.229393143961411e-22,1.2219654878722303e-22,1.2145827171110086e-22,1.207244560376142e-22,1.199950748006263e-22,1.192701011970286e-22,1.1854950858575593e-22,1.1783327048680657e-22,1.1712136058026808e-22,1.1641375270534954e-22,1.1571042085941901e-22,1.1501133919704824e-22,1.1431648202905848e-22,1.1362582382158084e-22,1.1293933919511356e-22,1.122570029235896e-22,1.1157878993344853e-22,1.1090467530271481e-22,1.1023463426008057e-22,1.0956864218399565e-22,1.0890667460175875e-22,1.0824870718862225e-22,1.0759471576689404e-22,1.069446763050494e-22,1.0629856491684695e-22,1.0565635786045022e-22,1.0501803153755432e-22,1.0438356249251806e-22,1.0375292741150214e-22,1.0312610312160849e-22,1.0250306659003274e-22,1.0188379492321377e-22,1.012682653659928e-22,1.0065645530077632e-22,1.0004834224670415e-22,9.944390385882295e-23,9.884311792726473e-23,9.824596237642741e-23,9.76524152641672e-23,9.706245478098869e-23,9.647605924924337e-23,9.589320712233259e-23,9.531387698391491e-23,9.473804754711865e-23,9.416569765375895e-23,9.359680627356009e-23,9.303135250337972e-23,9.246931556644392e-23,9.191067481158046e-23,9.135540971245993e-23,9.080349986684096e-23,9.025492499581982e-23,8.970966494308458e-23,8.916769967417457e-23,8.862900927574104e-23,8.809357395481849e-23,8.756137403809444e-23,8.703238997118637e-23,8.650660231792279e-23,8.598399175962812e-23,8.546453909441263e-23,8.494822523646598e-23,8.443503121535613e-23,8.392493817532916e-23,8.341792737461958e-23,8.291398018475849e-23,8.241307808988927e-23,8.19152026860867e-23,8.14203356806801e-23,8.092845889158046e-23,8.043955424661271e-23,7.995360378284853e-23,7.947058964594936e-23,7.899049408950755e-23,7.851329947439416e-23,7.803898826811053e-23,7.756754304414332e-23,7.709894648132383e-23,7.663318136319091e-23,7.617023057735856e-23,7.571007711488426e-23,7.525270406964686e-23,7.479809463772284e-23,7.434623211676863e-23,7.389709990540671e-23,7.345068150261487e-23,7.300696050711959e-23,7.256592061679343e-23,7.212754562805337e-23,7.16918194352682e-23,7.125872603016409e-23,7.082824950123657e-23,7.040037403316533e-23,6.997508390623261e-23,6.955236349574538e-23,6.913219727146049e-23,6.871456979701434e-23,6.829946572935314e-23,6.788686981817172e-23,6.747676690535078e-23,6.706914192440003e-23,6.666397989990407e-23,6.626126594697196e-23,6.586098527068952e-23,6.546312316557612e-23,6.506766501504188e-23,6.467459629085315e-23,6.428390255259623e-23,6.389556944714701e-23,6.350958270814323e-23,6.312592815545975e-23,6.274459169468721e-23,6.236555931661393e-23,6.19888170967109e-23,6.161435119461838e-23,6.124214785363931e-23,6.087219340023199e-23,6.050447424350758e-23,6.013897687473039e-23,5.977568786682123e-23,5.941459387386372e-23,5.905568163061387e-23,5.86989379520108e-23,5.834434973269431e-23,5.799190394652146e-23,5.764158764608796e-23,5.729338796225216e-23,5.69472921036618e-23,5.660328735628375e-23,5.626136108293658e-23,5.592150072282618e-23,5.558369379108238e-23,5.524792787830239e-23,5.491419065009285e-23,5.458246984661671e-23,5.42527532821425e-23,5.39250288445963e-23,5.359928449511637e-23,5.327550826761091e-23,5.295368826831659e-23,5.263381267536348e-23,5.231586973833901e-23,5.1999847777856147e-23,5.168573518512406e-23,5.137352042152135e-23,5.1063192018171757e-23,5.075473857552248e-23,5.044814876292542e-23,5.014341131821923e-23,4.984051504731727e-23,4.953944882379473e-23,4.924020158847986e-23,4.894276234904739e-23,4.864712017961434e-23,4.835326422033834e-23,4.8061183677018783e-23,4.777086782069846e-23,4.7482305987271336e-23,4.719548757708889e-23,4.6910402054571e-23,4.662703894781841e-23,4.6345387848227815e-23,4.6065438410109215e-23,4.5787180350305477e-23,4.551060344781469e-23,4.523569754341302e-23,4.496245253928317e-23,4.4690858398641966e-23,4.4420905145371476e-23,4.4152582863652436e-23,4.388588169759955e-23,4.362079185089932e-23,4.335730358645001e-23,4.3095407226002613e-23,4.2835093149806755e-23,4.257635179625595e-23,4.231917366153622e-23,4.2063549299276894e-23,4.180946932020315e-23,4.155692439179095e-23,4.130590523792391e-23,4.1056402638552577e-23,4.080840742935431e-23,4.056191050139811e-23,4.031690280080867e-23,4.007337532843364e-23,3.9831319139513054e-23,3.9590725343350194e-23,3.9351585102985024e-23,3.9113889634869485e-23,3.8877630208543445e-23,3.86427981463155e-23,3.840938482294279e-23,3.817738166531426e-23,3.794678015213544e-23,3.771757181361522e-23,3.748974823115448e-23,3.726330103703668e-23,3.703822191412032e-23,3.681450259553244e-23,3.6592134864366e-23,3.637111055337698e-23,3.61514215446843e-23,3.593305976947145e-23,3.5716017207689845e-23,3.5500285887764044e-23,3.528585788629891e-23,3.5072725327787424e-23,3.486088038432256e-23,3.4650315275308636e-23,3.444102226717556e-23],"x":[20.0,20.005997600959617,20.011995201919234,20.017992802878847,20.023990403838464,20.02998800479808,20.0359856057577,20.041983206717312,20.04798080767693,20.053978408636546,20.059976009596163,20.065973610555776,20.071971211515393,20.07796881247501,20.083966413434627,20.08996401439424,20.095961615353858,20.101959216313475,20.10795681727309,20.11395441823271,20.119952019192322,20.12594962015194,20.131947221111556,20.137944822071173,20.143942423030786,20.149940023990403,20.15593762495002,20.161935225909637,20.16793282686925,20.173930427828868,20.179928028788485,20.185925629748102,20.191923230707715,20.197920831667332,20.20391843262695,20.209916033586566,20.215913634546183,20.221911235505797,20.227908836465414,20.23390643742503,20.239904038384648,20.24590163934426,20.251899240303878,20.257896841263495,20.263894442223112,20.269892043182725,20.275889644142342,20.28188724510196,20.287884846061576,20.29388244702119,20.299880047980807,20.305877648940424,20.31187524990004,20.317872850859658,20.32387045181927,20.329868052778888,20.335865653738505,20.341863254698122,20.347860855657736,20.353858456617353,20.35985605757697,20.365853658536587,20.3718512594962,20.377848860455817,20.383846461415434,20.38984406237505,20.395841663334664,20.40183926429428,20.4078368652539,20.413834466213515,20.419832067173132,20.425829668132746,20.431827269092363,20.43782487005198,20.443822471011597,20.44982007197121,20.455817672930827,20.461815273890444,20.46781287485006,20.473810475809675,20.47980807676929,20.48580567772891,20.491803278688526,20.49780087964814,20.503798480607756,20.509796081567373,20.51579368252699,20.521791283486607,20.52778888444622,20.533786485405837,20.539784086365454,20.54578168732507,20.551779288284685,20.557776889244302,20.56377449020392,20.569772091163536,20.57576969212315,20.581767293082766,20.587764894042383,20.593762495002,20.599760095961614,20.60575769692123,20.611755297880848,20.617752898840465,20.62375049980008,20.629748100759695,20.635745701719312,20.64174330267893,20.647740903638546,20.65373850459816,20.659736105557776,20.665733706517393,20.67173130747701,20.677728908436624,20.68372650939624,20.689724110355858,20.695721711315475,20.701719312275088,20.707716913234705,20.713714514194322,20.71971211515394,20.725709716113556,20.73170731707317,20.737704918032787,20.743702518992404,20.74970011995202,20.755697720911634,20.76169532187125,20.767692922830868,20.773690523790485,20.7796881247501,20.785685725709715,20.791683326669332,20.79768092762895,20.803678528588563,20.80967612954818,20.815673730507797,20.821671331467414,20.82766893242703,20.833666533386644,20.83966413434626,20.845661735305878,20.851659336265495,20.85765693722511,20.863654538184726,20.869652139144343,20.87564974010396,20.881647341063573,20.88764494202319,20.893642542982807,20.899640143942424,20.905637744902037,20.911635345861654,20.91763294682127,20.92363054778089,20.929628148740505,20.93562574970012,20.941623350659736,20.947620951619353,20.95361855257897,20.959616153538583,20.9656137544982,20.971611355457817,20.977608956417434,20.983606557377048,20.989604158336665,20.99560175929628,21.0015993602559,21.007596961215516,21.01359456217513,21.019592163134746,21.025589764094363,21.03158736505398,21.037584966013593,21.04358256697321,21.049580167932827,21.055577768892444,21.061575369852058,21.067572970811675,21.073570571771292,21.07956817273091,21.085565773690522,21.09156337465014,21.097560975609756,21.103558576569373,21.10955617752899,21.115553778488604,21.12155137944822,21.127548980407838,21.133546581367455,21.139544182327068,21.145541783286685,21.151539384246302,21.15753698520592,21.163534586165532,21.16953218712515,21.175529788084766,21.181527389044383,21.187524990003997,21.193522590963614,21.19952019192323,21.205517792882848,21.211515393842465,21.217512994802078,21.223510595761695,21.229508196721312,21.23550579768093,21.241503398640543,21.24750099960016,21.253498600559777,21.259496201519394,21.265493802479007,21.271491403438624,21.27748900439824,21.283486605357858,21.28948420631747,21.29548180727709,21.301479408236705,21.307477009196322,21.31347461015594,21.319472211115553,21.32546981207517,21.331467413034787,21.337465013994404,21.343462614954017,21.349460215913634,21.35545781687325,21.361455417832868,21.36745301879248,21.3734506197521,21.379448220711716,21.385445821671333,21.391443422630946,21.397441023590563,21.40343862455018,21.409436225509797,21.415433826469414,21.421431427429027,21.427429028388644,21.43342662934826,21.43942423030788,21.445421831267492,21.45141943222711,21.457417033186726,21.463414634146343,21.469412235105956,21.475409836065573,21.48140743702519,21.487405037984807,21.49340263894442,21.499400239904038,21.505397840863655,21.51139544182327,21.51739304278289,21.523390643742502,21.52938824470212,21.535385845661736,21.541383446621353,21.547381047580966,21.553378648540583,21.5593762495002,21.565373850459817,21.57137145141943,21.577369052379048,21.583366653338665,21.58936425429828,21.595361855257895,21.601359456217512,21.60735705717713,21.613354658136746,21.619352259096363,21.625349860055977,21.631347461015594,21.63734506197521,21.643342662934828,21.64934026389444,21.655337864854058,21.661335465813675,21.667333066773292,21.673330667732905,21.679328268692522,21.68532586965214,21.691323470611756,21.69732107157137,21.703318672530987,21.709316273490604,21.71531387445022,21.721311475409838,21.72730907636945,21.733306677329068,21.739304278288685,21.745301879248302,21.751299480207916,21.757297081167533,21.76329468212715,21.769292283086767,21.77528988404638,21.781287485005997,21.787285085965614,21.79328268692523,21.799280287884844,21.80527788884446,21.81127548980408,21.817273090763695,21.823270691723312,21.829268292682926,21.835265893642543,21.84126349460216,21.847261095561777,21.85325869652139,21.859256297481007,21.865253898440624,21.87125149940024,21.877249100359855,21.88324670131947,21.88924430227909,21.895241903238706,21.90123950419832,21.907237105157936,21.913234706117553,21.91923230707717,21.925229908036787,21.9312275089964,21.937225109956017,21.943222710915634,21.94922031187525,21.955217912834865,21.961215513794482,21.9672131147541,21.973210715713716,21.97920831667333,21.985205917632946,21.991203518592563,21.99720111955218,22.003198720511794,22.00919632147141,22.015193922431028,22.021191523390645,22.02718912435026,22.033186725309875,22.039184326269492,22.04518192722911,22.051179528188726,22.05717712914834,22.063174730107956,22.069172331067573,22.07516993202719,22.081167532986804,22.08716513394642,22.093162734906038,22.099160335865655,22.105157936825268,22.111155537784885,22.117153138744502,22.12315073970412,22.129148340663736,22.13514594162335,22.141143542582967,22.147141143542584,22.1531387445022,22.159136345461814,22.16513394642143,22.171131547381048,22.177129148340665,22.18312674930028,22.189124350259895,22.195121951219512,22.20111955217913,22.207117153138743,22.21311475409836,22.219112355057977,22.225109956017594,22.23110755697721,22.237105157936824,22.24310275889644,22.249100359856058,22.255097960815675,22.26109556177529,22.267093162734906,22.273090763694523,22.27908836465414,22.285085965613753,22.29108356657337,22.297081167532987,22.303078768492604,22.309076369452217,22.315073970411834,22.32107157137145,22.32706917233107,22.333066773290685,22.3390643742503,22.345061975209916,22.351059576169533,22.35705717712915,22.363054778088763,22.36905237904838,22.375049980007997,22.381047580967614,22.387045181927228,22.393042782886845,22.39904038384646,22.40503798480608,22.411035585765692,22.41703318672531,22.423030787684926,22.429028388644543,22.43502598960416,22.441023590563773,22.44702119152339,22.453018792483007,22.459016393442624,22.465013994402238,22.471011595361855,22.47700919632147,22.48300679728109,22.489004398240702,22.49500199920032,22.500999600159936,22.506997201119553,22.512994802079167,22.518992403038784,22.5249900039984,22.530987604958018,22.536985205917635,22.542982806877248,22.548980407836865,22.554978008796482,22.5609756097561,22.566973210715712,22.57297081167533,22.578968412634946,22.584966013594563,22.590963614554177,22.596961215513794,22.60295881647341,22.608956417433028,22.61495401839264,22.620951619352258,22.626949220311875,22.632946821271492,22.63894442223111,22.644942023190723,22.65093962415034,22.656937225109957,22.662934826069574,22.668932427029187,22.674930027988804,22.68092762894842,22.686925229908038,22.69292283086765,22.69892043182727,22.704918032786885,22.710915633746502,22.716913234706116,22.722910835665733,22.72890843662535,22.734906037584967,22.740903638544584,22.746901239504197,22.752898840463814,22.75889644142343,22.764894042383048,22.77089164334266,22.77688924430228,22.782886845261896,22.788884446221513,22.794882047181126,22.800879648140743,22.80687724910036,22.812874850059977,22.818872451019594,22.824870051979207,22.830867652938824,22.83686525389844,22.84286285485806,22.848860455817672,22.85485805677729,22.860855657736906,22.866853258696523,22.872850859656136,22.878848460615753,22.88484606157537,22.890843662534987,22.8968412634946,22.902838864454218,22.908836465413835,22.91483406637345,22.92083166733307,22.926829268292682,22.9328268692523,22.938824470211916,22.944822071171533,22.950819672131146,22.956817273090763,22.96281487405038,22.968812475009997,22.97481007596961,22.980807676929228,22.986805277888845,22.99280287884846,22.998800479808075,23.004798080767692,23.01079568172731,23.016793282686926,23.022790883646543,23.028788484606157,23.034786085565774,23.04078368652539,23.046781287485008,23.05277888844462,23.058776489404238,23.064774090363855,23.070771691323472,23.076769292283085,23.082766893242702,23.08876449420232,23.094762095161936,23.10075969612155,23.106757297081167,23.112754898040784,23.1187524990004,23.124750099960018,23.13074770091963,23.136745301879248,23.142742902838865,23.148740503798482,23.154738104758096,23.160735705717713,23.16673330667733,23.172730907636947,23.17872850859656,23.184726109556177,23.190723710515794,23.19672131147541,23.202718912435024,23.20871651339464,23.21471411435426,23.220711715313875,23.226709316273492,23.232706917233106,23.238704518192723,23.24470211915234,23.250699720111957,23.25669732107157,23.262694922031187,23.268692522990804,23.27469012395042,23.280687724910035,23.28668532586965,23.29268292682927,23.298680527788886,23.3046781287485,23.310675729708116,23.316673330667733,23.32267093162735,23.328668532586967,23.33466613354658,23.340663734506197,23.346661335465814,23.35265893642543,23.358656537385045,23.36465413834466,23.37065173930428,23.376649340263896,23.38264694122351,23.388644542183126,23.394642143142743,23.40063974410236,23.406637345061974,23.41263494602159,23.418632546981208,23.424630147940825,23.43062774890044,23.436625349860055,23.442622950819672,23.44862055177929,23.454618152738906,23.46061575369852,23.466613354658136,23.472610955617753,23.47860855657737,23.484606157536984,23.4906037584966,23.496601359456218,23.502598960415835,23.508596561375448,23.514594162335065,23.520591763294682,23.5265893642543,23.532586965213916,23.53858456617353,23.544582167133147,23.550579768092764,23.55657736905238,23.562574970011994,23.56857257097161,23.574570171931228,23.580567772890845,23.58656537385046,23.592562974810075,23.598560575769692,23.60455817672931,23.610555777688923,23.61655337864854,23.622550979608157,23.628548580567774,23.63454618152739,23.640543782487004,23.64654138344662,23.652538984406238,23.658536585365855,23.66453418632547,23.670531787285086,23.676529388244703,23.68252698920432,23.688524590163933,23.69452219112355,23.700519792083167,23.706517393042784,23.712514994002397,23.718512594962014,23.72451019592163,23.73050779688125,23.736505397840865,23.74250299880048,23.748500599760096,23.754498200719713,23.76049580167933,23.766493402638943,23.77249100359856,23.778488604558177,23.784486205517794,23.790483806477408,23.796481407437025,23.80247900839664,23.80847660935626,23.814474210315872,23.82047181127549,23.826469412235106,23.832467013194723,23.83846461415434,23.844462215113953,23.85045981607357,23.856457417033187,23.862455017992804,23.868452618952418,23.874450219912035,23.88044782087165,23.88644542183127,23.892443022790882,23.8984406237505,23.904438224710116,23.910435825669733,23.916433426629347,23.922431027588964,23.92842862854858,23.934426229508198,23.940423830467815,23.946421431427428,23.952419032387045,23.958416633346662,23.96441423430628,23.970411835265892,23.97640943622551,23.982407037185126,23.988404638144743,23.994402239104357,24.000399840063974,24.00639744102359,24.012395041983208,24.01839264294282,24.024390243902438,24.030387844862055,24.036385445821672,24.04238304678129,24.048380647740903,24.05437824870052,24.060375849660137,24.066373450619754,24.072371051579367,24.078368652538984,24.0843662534986,24.090363854458218,24.09636145541783,24.10235905637745,24.108356657337065,24.114354258296682,24.120351859256296,24.126349460215913,24.13234706117553,24.138344662135147,24.144342263094764,24.150339864054377,24.156337465013994,24.16233506597361,24.168332666933228,24.17433026789284,24.18032786885246,24.186325469812076,24.192323070771693,24.198320671731306,24.204318272690923,24.21031587365054,24.216313474610157,24.22231107556977,24.228308676529387,24.234306277489004,24.24030387844862,24.24630147940824,24.25229908036785,24.25829668132747,24.264294282287086,24.270291883246703,24.276289484206316,24.282287085165933,24.28828468612555,24.294282287085167,24.30027988804478,24.306277489004398,24.312275089964015,24.31827269092363,24.324270291883245,24.330267892842862,24.33626549380248,24.342263094762096,24.348260695721713,24.354258296681326,24.360255897640943,24.36625349860056,24.372251099560177,24.37824870051979,24.384246301479408,24.390243902439025,24.39624150339864,24.402239104358255,24.408236705317872,24.41423430627749,24.420231907237106,24.42622950819672,24.432227109156337,24.438224710115954,24.44422231107557,24.450219912035188,24.4562175129948,24.462215113954418,24.468212714914035,24.474210315873652,24.480207916833265,24.486205517792882,24.4922031187525,24.498200719712116,24.50419832067173,24.510195921631347,24.516193522590964,24.52219112355058,24.528188724510194,24.53418632546981,24.540183926429428,24.546181527389045,24.552179128348662,24.558176729308276,24.564174330267893,24.57017193122751,24.576169532187127,24.58216713314674,24.588164734106357,24.594162335065974,24.60015993602559,24.606157536985204,24.61215513794482,24.61815273890444,24.624150339864055,24.63014794082367,24.636145541783286,24.642143142742903,24.64814074370252,24.654138344662137,24.66013594562175,24.666133546581367,24.672131147540984,24.6781287485006,24.684126349460215,24.69012395041983,24.69612155137945,24.702119152339066,24.70811675329868,24.714114354258296,24.720111955217913,24.72610955617753,24.732107157137147,24.73810475809676,24.744102359056377,24.750099960015994,24.75609756097561,24.762095161935225,24.76809276289484,24.77409036385446,24.780087964814076,24.78608556577369,24.792083166733306,24.798080767692923,24.80407836865254,24.810075969612154,24.81607357057177,24.822071171531388,24.828068772491005,24.83406637345062,24.840063974410235,24.846061575369852,24.85205917632947,24.858056777289086,24.8640543782487,24.870051979208316,24.876049580167933,24.88204718112755,24.888044782087164,24.89404238304678,24.900039984006398,24.906037584966015,24.912035185925628,24.918032786885245,24.924030387844862,24.93002798880448,24.936025589764096,24.94202319072371,24.948020791683327,24.954018392642944,24.96001599360256,24.966013594562174,24.97201119552179,24.978008796481408,24.984006397441025,24.99000399840064,24.996001599360255,25.001999200319872,25.00799680127949,25.013994402239103,25.01999200319872,25.025989604158337,25.031987205117954,25.03798480607757,25.043982407037184,25.0499800079968,25.055977608956418,25.061975209916035,25.06797281087565,25.073970411835266,25.079968012794883,25.0859656137545,25.091963214714113,25.09796081567373,25.103958416633347,25.109956017592964,25.115953618552577,25.121951219512194,25.12794882047181,25.13394642143143,25.139944022391045,25.14594162335066,25.151939224310276,25.157936825269893,25.16393442622951,25.169932027189123,25.17592962814874,25.181927229108357,25.187924830067974,25.193922431027588,25.199920031987205,25.20591763294682,25.21191523390644,25.217912834866052,25.22391043582567,25.229908036785286,25.235905637744903,25.24190323870452,25.247900839664133,25.25389844062375,25.259896041583367,25.265893642542984,25.271891243502598,25.277888844462215,25.28388644542183,25.28988404638145,25.295881647341062,25.30187924830068,25.307876849260296,25.313874450219913,25.319872051179527,25.325869652139144,25.33186725309876,25.337864854058378,25.343862455017995,25.349860055977608,25.355857656937225,25.361855257896842,25.36785285885646,25.373850459816072,25.37984806077569,25.385845661735306,25.391843262694923,25.397840863654537,25.403838464614154,25.40983606557377,25.415833666533388,25.421831267493,25.427828868452618,25.433826469412235,25.439824070371852,25.44582167133147,25.451819272291083,25.4578168732507,25.463814474210317,25.469812075169934,25.475809676129547,25.481807277089164,25.48780487804878,25.493802479008398,25.49980007996801,25.50579768092763,25.511795281887245,25.517792882846862,25.523790483806476,25.529788084766093,25.53578568572571,25.541783286685327,25.547780887644944,25.553778488604557,25.559776089564174,25.56577369052379,25.571771291483408,25.57776889244302,25.58376649340264,25.589764094362256,25.595761695321873,25.601759296281486,25.607756897241103,25.61375449820072,25.619752099160337,25.62574970011995,25.631747301079567,25.637744902039184,25.6437425029988,25.64974010395842,25.65573770491803,25.66173530587765,25.667732906837266,25.673730507796883,25.679728108756496,25.685725709716113,25.69172331067573,25.697720911635347,25.70371851259496,25.709716113554578,25.715713714514195,25.72171131547381,25.727708916433425,25.733706517393042,25.73970411835266,25.745701719312276,25.751699320271893,25.757696921231506,25.763694522191123,25.76969212315074,25.775689724110357,25.78168732506997,25.787684926029588,25.793682526989205,25.79968012794882,25.805677728908435,25.811675329868052,25.81767293082767,25.823670531787286,25.8296681327469,25.835665733706517,25.841663334666134,25.84766093562575,25.853658536585368,25.85965613754498,25.865653738504598,25.871651339464215,25.877648940423832,25.883646541383445,25.889644142343062,25.89564174330268,25.901639344262296,25.90763694522191,25.913634546181527,25.919632147141144,25.92562974810076,25.931627349060374,25.93762495001999,25.943622550979608,25.949620151939225,25.955617752898842,25.961615353858456,25.967612954818073,25.97361055577769,25.979608156737307,25.98560575769692,25.991603358656537,25.997600959616154,26.00359856057577,26.009596161535384,26.015593762495,26.02159136345462,26.027588964414235,26.03358656537385,26.039584166333466,26.045581767293083,26.0515793682527,26.057576969212317,26.06357457017193,26.069572171131547,26.075569772091164,26.08156737305078,26.087564974010395,26.09356257497001,26.09956017592963,26.105557776889246,26.11155537784886,26.117552978808476,26.123550579768093,26.12954818072771,26.135545781687323,26.14154338264694,26.147540983606557,26.153538584566174,26.15953618552579,26.165533786485405,26.17153138744502,26.17752898840464,26.183526589364256,26.18952419032387,26.195521791283486,26.201519392243103,26.20751699320272,26.213514594162334,26.21951219512195,26.225509796081568,26.231507397041185,26.237504998000798,26.243502598960415,26.249500199920032,26.25549780087965,26.261495401839266,26.26749300279888,26.273490603758496,26.279488204718113,26.28548580567773,26.291483406637344,26.29748100759696,26.303478608556578,26.309476209516195,26.315473810475808,26.321471411435425,26.327469012395042,26.33346661335466,26.339464214314273,26.34546181527389,26.351459416233507,26.357457017193124,26.36345461815274,26.369452219112354,26.37544982007197,26.381447421031588,26.387445021991205,26.39344262295082,26.399440223910435,26.405437824870052,26.41143542582967,26.417433026789283,26.4234306277489,26.429428228708517,26.435425829668134,26.441423430627747,26.447421031587364,26.45341863254698,26.459416233506598,26.465413834466215,26.47141143542583,26.477409036385446,26.483406637345063,26.48940423830468,26.495401839264293,26.50139944022391,26.507397041183527,26.513394642143144,26.519392243102757,26.525389844062374,26.53138744502199,26.53738504598161,26.54338264694122,26.54938024790084,26.555377848860456,26.561375449820073,26.56737305077969,26.573370651739303,26.57936825269892,26.585365853658537,26.591363454618154,26.597361055577768,26.603358656537385,26.609356257497,26.61535385845662,26.621351459416232,26.62734906037585,26.633346661335466,26.639344262295083,26.6453418632547,26.651339464214313,26.65733706517393,26.663334666133547,26.669332267093164,26.675329868052778,26.681327469012395,26.68732506997201,26.69332267093163,26.699320271891242,26.70531787285086,26.711315473810476,26.717313074770093,26.723310675729707,26.729308276689324,26.73530587764894,26.741303478608557,26.747301079568174,26.753298680527788,26.759296281487405,26.765293882447022,26.77129148340664,26.777289084366252,26.78328668532587,26.789284286285486,26.795281887245103,26.801279488204717,26.807277089164334,26.81327469012395,26.819272291083568,26.82526989204318,26.831267493002798,26.837265093962415,26.843262694922032,26.84926029588165,26.855257896841263,26.86125549780088,26.867253098760496,26.873250699720113,26.879248300679727,26.885245901639344,26.89124350259896,26.897241103558578,26.90323870451819,26.90923630547781,26.915233906437425,26.921231507397042,26.927229108356656,26.933226709316273,26.93922431027589,26.945221911235507,26.951219512195124,26.957217113154737,26.963214714114354,26.96921231507397,26.975209916033588,26.9812075169932,26.98720511795282,26.993202718912436,26.999200319872052,27.005197920831666,27.011195521791283,27.0171931227509,27.023190723710517,27.02918832467013,27.035185925629747,27.041183526589364,27.04718112754898,27.0531787285086,27.05917632946821,27.06517393042783,27.071171531387446,27.077169132347063,27.083166733306676,27.089164334266293,27.09516193522591,27.101159536185527,27.10715713714514,27.113154738104758,27.119152339064375,27.12514994002399,27.131147540983605,27.137145141943222,27.14314274290284,27.149140343862456,27.155137944822073,27.161135545781686,27.167133146741303,27.17313074770092,27.179128348660537,27.18512594962015,27.191123550579768,27.197121151539385,27.203118752499,27.209116353458615,27.215113954418232,27.22111155537785,27.227109156337466,27.23310675729708,27.239104358256697,27.245101959216314,27.25109956017593,27.257097161135547,27.26309476209516,27.269092363054778,27.275089964014395,27.281087564974012,27.287085165933625,27.293082766893242,27.29908036785286,27.305077968812476,27.31107556977209,27.317073170731707,27.323070771691324,27.32906837265094,27.335065973610554,27.34106357457017,27.347061175529788,27.353058776489405,27.359056377449022,27.365053978408636,27.371051579368253,27.37704918032787,27.383046781287486,27.3890443822471,27.395041983206717,27.401039584166334,27.40703718512595,27.413034786085564,27.41903238704518,27.4250299880048,27.431027588964415,27.43702518992403,27.443022790883646,27.449020391843263,27.45501799280288,27.461015593762497,27.46701319472211,27.473010795681727,27.479008396641344,27.48500599760096,27.491003598560575,27.49700119952019,27.50299880047981,27.508996401439425,27.51499400239904,27.520991603358656,27.526989204318273,27.53298680527789,27.538984406237503,27.54498200719712,27.550979608156737,27.556977209116354,27.56297481007597,27.568972411035585,27.5749700119952,27.58096761295482,27.586965213914436,27.59296281487405,27.598960415833666,27.604958016793283,27.6109556177529,27.616953218712514,27.62295081967213,27.628948420631747,27.634946021591364,27.640943622550978,27.646941223510595,27.652938824470212,27.65893642542983,27.664934026389446,27.67093162734906,27.676929228308676,27.682926829268293,27.68892443022791,27.694922031187524,27.70091963214714,27.706917233106758,27.712914834066375,27.718912435025988,27.724910035985605,27.730907636945222,27.73690523790484,27.742902838864453,27.74890043982407,27.754898040783686,27.760895641743303,27.76689324270292,27.772890843662534,27.77888844462215,27.784886045581768,27.790883646541385,27.796881247501,27.802878848460615,27.808876449420232,27.81487405037985,27.820871651339463,27.82686925229908,27.832866853258697,27.838864454218314,27.844862055177927,27.850859656137544,27.85685725709716,27.862854858056778,27.868852459016395,27.87485005997601,27.880847660935625,27.886845261895242,27.89284286285486,27.898840463814473,27.90483806477409,27.910835665733707,27.916833266693324,27.922830867652937,27.928828468612554,27.93482606957217,27.94082367053179,27.9468212714914,27.95281887245102,27.958816473410636,27.964814074370253,27.97081167532987,27.976809276289483,27.9828068772491,27.988804478208717,27.994802079168334,28.000799680127948,28.006797281087564,28.01279488204718,28.0187924830068,28.024790083966412,28.03078768492603,28.036785285885646,28.042782886845263,28.048780487804876,28.054778088764493,28.06077568972411,28.066773290683727,28.072770891643344,28.078768492602958,28.084766093562575,28.09076369452219,28.09676129548181,28.102758896441422,28.10875649740104,28.114754098360656,28.120751699320273,28.126749300279887,28.132746901239504,28.13874450219912,28.144742103158737,28.15073970411835,28.156737305077968,28.162734906037585,28.168732506997202,28.17473010795682,28.180727708916432,28.18672530987605,28.192722910835666,28.198720511795283,28.204718112754897,28.210715713714514,28.21671331467413,28.222710915633748,28.22870851659336,28.234706117552978,28.240703718512595,28.246701319472212,28.252698920431826,28.258696521391443,28.26469412235106,28.270691723310676,28.276689324270293,28.282686925229907,28.288684526189524,28.29468212714914,28.300679728108758,28.30667732906837,28.31267493002799,28.318672530987605,28.324670131947222,28.330667732906836,28.336665333866453,28.34266293482607,28.348660535785687,28.3546581367453,28.360655737704917,28.366653338664534,28.37265093962415,28.378648540583768,28.38464614154338,28.390643742503,28.396641343462615,28.402638944422232,28.408636545381846,28.414634146341463,28.42063174730108,28.426629348260697,28.43262694922031,28.438624550179927,28.444622151139544,28.45061975209916,28.45661735305878,28.46261495401839,28.46861255497801,28.474610155937626,28.480607756897243,28.486605357856856,28.492602958816473,28.49860055977609,28.504598160735707,28.51059576169532,28.516593362654937,28.522590963614554,28.52858856457417,28.534586165533785,28.540583766493402,28.54658136745302,28.552578968412636,28.558576569372253,28.564574170331866,28.570571771291483,28.5765693722511,28.582566973210717,28.58856457417033,28.594562175129948,28.600559776089565,28.60655737704918,28.612554978008795,28.618552578968412,28.62455017992803,28.630547780887646,28.63654538184726,28.642542982806876,28.648540583766493,28.65453818472611,28.660535785685727,28.66653338664534,28.672530987604958,28.678528588564575,28.684526189524192,28.690523790483805,28.696521391443422,28.70251899240304,28.708516593362656,28.71451419432227,28.720511795281887,28.726509396241504,28.73250699720112,28.738504598160734,28.74450219912035,28.750499800079968,28.756497401039585,28.762495001999202,28.768492602958815,28.774490203918432,28.78048780487805,28.786485405837666,28.79248300679728,28.798480607756897,28.804478208716514,28.81047580967613,28.816473410635744,28.82247101159536,28.82846861255498,28.834466213514595,28.84046381447421,28.846461415433826,28.852459016393443,28.85845661735306,28.864454218312677,28.87045181927229,28.876449420231907,28.882447021191524,28.88844462215114,28.894442223110754,28.90043982407037,28.90643742502999,28.912435025989605,28.91843262694922,28.924430227908836,28.930427828868453,28.93642542982807,28.942423030787683,28.9484206317473,28.954418232706917,28.960415833666534,28.96641343462615,28.972411035585765,28.97840863654538,28.984406237505,28.990403838464616,28.99640143942423,29.002399040383846,29.008396641343463,29.01439424230308,29.020391843262693,29.02638944422231,29.032387045181927,29.038384646141544,29.044382247101158,29.050379848060775,29.056377449020392,29.06237504998001,29.068372650939626,29.07437025189924,29.080367852858856,29.086365453818473,29.09236305477809,29.098360655737704,29.10435825669732,29.110355857656938,29.116353458616555,29.122351059576168,29.128348660535785,29.134346261495402,29.14034386245502,29.146341463414632,29.15233906437425,29.158336665333866,29.164334266293483,29.1703318672531,29.176329468212714,29.18232706917233,29.188324670131948,29.194322271091565,29.20031987205118,29.206317473010795,29.212315073970412,29.21831267493003,29.224310275889643,29.23030787684926,29.236305477808877,29.242303078768494,29.248300679728107,29.254298280687724,29.26029588164734,29.266293482606958,29.272291083566575,29.27828868452619,29.284286285485805,29.290283886445422,29.29628148740504,29.302279088364653,29.30827668932427,29.314274290283887,29.320271891243504,29.326269492203117,29.332267093162734,29.33826469412235,29.34426229508197,29.35025989604158,29.3562574970012,29.362255097960816,29.368252698920433,29.37425029988005,29.380247900839663,29.38624550179928,29.392243102758897,29.398240703718514,29.404238304678127,29.410235905637744,29.41623350659736,29.42223110755698,29.428228708516592,29.43422630947621,29.440223910435826,29.446221511395443,29.452219112355056,29.458216713314673,29.46421431427429,29.470211915233907,29.476209516193524,29.482207117153138,29.488204718112755,29.49420231907237,29.50019992003199,29.506197520991602,29.51219512195122,29.518192722910836,29.524190323870453,29.530187924830066,29.536185525789683,29.5421831267493,29.548180727708917,29.55417832866853,29.560175929628148,29.566173530587765,29.572171131547382,29.578168732507,29.584166333466612,29.59016393442623,29.596161535385846,29.602159136345463,29.608156737305077,29.614154338264694,29.62015193922431,29.626149540183928,29.63214714114354,29.638144742103158,29.644142343062775,29.650139944022392,29.656137544982005,29.662135145941622,29.66813274690124,29.674130347860856,29.680127948820473,29.686125549780087,29.692123150739704,29.69812075169932,29.704118352658938,29.71011595361855,29.71611355457817,29.722111155537785,29.728108756497402,29.734106357457016,29.740103958416633,29.74610155937625,29.752099160335867,29.75809676129548,29.764094362255097,29.770091963214714,29.77608956417433,29.782087165133948,29.78808476609356,29.79408236705318,29.800079968012795,29.806077568972412,29.812075169932026,29.818072770891643,29.82407037185126,29.830067972810877,29.83606557377049,29.842063174730107,29.848060775689724,29.85405837664934,29.860055977608955,29.86605357856857,29.87205117952819,29.878048780487806,29.884046381447423,29.890043982407036,29.896041583366653,29.90203918432627,29.908036785285887,29.9140343862455,29.920031987205117,29.926029588164734,29.93202718912435,29.938024790083965,29.944022391043582,29.9500199920032,29.956017592962816,29.96201519392243,29.968012794882046,29.974010395841663,29.98000799680128,29.986005597760897,29.99200319872051,29.998000799680128,30.003998400639745,30.00999600159936,30.015993602558975,30.021991203518592,30.02798880447821,30.033986405437826,30.03998400639744,30.045981607357056,30.051979208316673,30.05797680927629,30.063974410235904,30.06997201119552,30.075969612155138,30.081967213114755,30.087964814074372,30.093962415033985,30.099960015993602,30.10595761695322,30.111955217912836,30.11795281887245,30.123950419832067,30.129948020791684,30.1359456217513,30.141943222710914,30.14794082367053,30.153938424630148,30.159936025589765,30.16593362654938,30.171931227508995,30.177928828468612,30.18392642942823,30.189924030387846,30.19592163134746,30.201919232307077,30.207916833266694,30.21391443422631,30.219912035185924,30.22590963614554,30.23190723710516,30.237904838064775,30.24390243902439,30.249900039984006,30.255897640943623,30.26189524190324,30.267892842862853,30.27389044382247,30.279888044782087,30.285885645741704,30.29188324670132,30.297880847660934,30.30387844862055,30.30987604958017,30.315873650539785,30.3218712514994,30.327868852459016,30.333866453418633,30.33986405437825,30.345861655337863,30.35185925629748,30.357856857257097,30.363854458216714,30.36985205917633,30.375849660135945,30.38184726109556,30.38784486205518,30.393842463014796,30.39984006397441,30.405837664934026,30.411835265893643,30.41783286685326,30.423830467812873,30.42982806877249,30.435825669732107,30.441823270691724,30.447820871651338,30.453818472610955,30.459816073570572,30.46581367453019,30.471811275489806,30.47780887644942,30.483806477409036,30.489804078368653,30.49580167932827,30.501799280287884,30.5077968812475,30.513794482207118,30.519792083166735,30.525789684126348,30.531787285085965,30.537784886045582,30.5437824870052,30.549780087964812,30.55577768892443,30.561775289884046,30.567772890843663,30.57377049180328,30.579768092762894,30.58576569372251,30.591763294682128,30.597760895641745,30.60375849660136,30.609756097560975,30.615753698520592,30.62175129948021,30.627748900439823,30.63374650139944,30.639744102359057,30.645741703318674,30.651739304278287,30.657736905237904,30.66373450619752,30.669732107157138,30.675729708116755,30.68172730907637,30.687724910035985,30.693722510995602,30.69972011195522,30.705717712914833,30.71171531387445,30.717712914834067,30.723710515793684,30.729708116753297,30.735705717712914,30.74170331867253,30.74770091963215,30.75369852059176,30.75969612155138,30.765693722510996,30.771691323470613,30.77768892443023,30.783686525389843,30.78968412634946,30.795681727309077,30.801679328268694,30.807676929228307,30.813674530187924,30.81967213114754,30.82566973210716,30.831667333066772,30.83766493402639,30.843662534986006,30.849660135945623,30.855657736905236,30.861655337864853,30.86765293882447,30.873650539784087,30.879648140743704,30.885645741703318,30.891643342662935,30.89764094362255,30.90363854458217,30.909636145541782,30.9156337465014,30.921631347461016,30.927628948420633,30.933626549380246,30.939624150339863,30.94562175129948,30.951619352259097,30.95761695321871,30.963614554178328,30.969612155137945,30.975609756097562,30.98160735705718,30.987604958016792,30.99360255897641,30.999600159936026,31.005597760895643,31.011595361855257,31.017592962814874,31.02359056377449,31.029588164734108,31.03558576569372,31.041583366653338,31.047580967612955,31.053578568572572,31.059576169532185,31.065573770491802,31.07157137145142,31.077568972411036,31.083566573370653,31.089564174330267,31.095561775289884,31.1015593762495,31.107556977209118,31.11355457816873,31.11955217912835,31.125549780087965,31.131547381047582,31.137544982007196,31.143542582966813,31.14954018392643,31.155537784886047,31.16153538584566,31.167532986805277,31.173530587764894,31.17952818872451,31.185525789684128,31.19152339064374,31.19752099160336,31.203518592562975,31.209516193522592,31.215513794482206,31.221511395441823,31.22750899640144,31.233506597361057,31.23950419832067,31.245501799280287,31.251499400239904,31.25749700119952,31.263494602159135,31.26949220311875,31.27548980407837,31.281487405037986,31.287485005997603,31.293482606957216,31.299480207916833,31.30547780887645,31.311475409836067,31.31747301079568,31.323470611755297,31.329468212714914,31.33546581367453,31.341463414634145,31.347461015593762,31.35345861655338,31.359456217512996,31.36545381847261,31.371451419432226,31.377449020391843,31.38344662135146,31.389444222311077,31.39544182327069,31.401439424230308,31.407437025189925,31.41343462614954,31.419432227109155,31.425429828068772,31.43142742902839,31.437425029988006,31.44342263094762,31.449420231907236,31.455417832866853,31.46141543382647,31.467413034786084,31.4734106357457,31.479408236705318,31.485405837664935,31.491403438624552,31.497401039584165,31.503398640543782,31.5093962415034,31.515393842463016,31.52139144342263,31.527389044382247,31.533386645341864,31.53938424630148,31.545381847261094,31.55137944822071,31.557377049180328,31.563374650139945,31.56937225109956,31.575369852059175,31.581367453018792,31.58736505397841,31.593362654938026,31.59936025589764,31.605357856857257,31.611355457816874,31.61735305877649,31.623350659736104,31.62934826069572,31.63534586165534,31.641343462614955,31.64734106357457,31.653338664534186,31.659336265493803,31.66533386645342,31.671331467413033,31.67732906837265,31.683326669332267,31.689324270291884,31.6953218712515,31.701319472211114,31.70731707317073,31.71331467413035,31.719312275089965,31.72530987604958,31.731307477009196,31.737305077968813,31.74330267892843,31.749300279888043,31.75529788084766,31.761295481807277,31.767293082766894,31.773290683726508,31.779288284686125,31.78528588564574,31.79128348660536,31.797281087564976,31.80327868852459,31.809276289484206,31.815273890443823,31.82127149140344,31.827269092363053,31.83326669332267,31.839264294282287,31.845261895241904,31.851259496201518,31.857257097161135,31.863254698120752,31.86925229908037,31.875249900039982,31.8812475009996,31.887245101959216,31.893242702918833,31.89924030387845,31.905237904838064,31.91123550579768,31.917233106757298,31.923230707716915,31.929228308676528,31.935225909636145,31.941223510595762,31.94722111155538,31.953218712514992,31.95921631347461,31.965213914434226,31.971211515393843,31.977209116353457,31.983206717313074,31.98920431827269,31.995201919232308,32.001199520191925,32.00719712115154,32.01319472211116,32.01919232307077,32.025189924030386,32.03118752499,32.03718512594962,32.04318272690924,32.049180327868854,32.05517792882847,32.06117552978809,32.0671731307477,32.073170731707314,32.07916833266693,32.08516593362655,32.091163534586165,32.09716113554578,32.1031587365054,32.109156337465016,32.11515393842463,32.12115153938424,32.12714914034386,32.13314674130348,32.139144342263094,32.14514194322271,32.15113954418233,32.157137145141945,32.16313474610156,32.16913234706117,32.17512994802079,32.181127548980406,32.18712514994002,32.19312275089964,32.19912035185926,32.205117952818874,32.21111555377849,32.21711315473811,32.22311075569772,32.229108356657335,32.23510595761695,32.24110355857657,32.247101159536186,32.2530987604958,32.25909636145542,32.26509396241504,32.27109156337465,32.277089164334264,32.28308676529388,32.2890843662535,32.295081967213115,32.30107956817273,32.30707716913235,32.313074770091966,32.31907237105158,32.32506997201119,32.33106757297081,32.33706517393043,32.34306277489004,32.34906037584966,32.35505797680928,32.361055577768894,32.36705317872851,32.37305077968812,32.37904838064774,32.385045981607355,32.39104358256697,32.39704118352659,32.403038784486206,32.40903638544582,32.41503398640544,32.42103158736506,32.42702918832467,32.433026789284284,32.4390243902439,32.44502199120352,32.451019592163135,32.45701719312275,32.46301479408237,32.469012395041986,32.475009996001596,32.48100759696121,32.48700519792083,32.49300279888045,32.499000399840064,32.50499800079968,32.5109956017593,32.516993202718915,32.52299080367853,32.52898840463814,32.53498600559776,32.540983606557376,32.54698120751699,32.55297880847661,32.55897640943623,32.564974010395844,32.57097161135546,32.57696921231507,32.58296681327469,32.588964414234304,32.59496201519392,32.60095961615354,32.606957217113155,32.61295481807277,32.61895241903239,32.624950019992006,32.630947620951616,32.63694522191123,32.64294282287085,32.64894042383047,32.654938024790084,32.6609356257497,32.66693322670932,32.672930827668935,32.678928428628545,32.68492602958816,32.69092363054778,32.696921231507396,32.70291883246701,32.70891643342663,32.71491403438625,32.720911635345864,32.72690923630548,32.73290683726509,32.73890443822471,32.744902039184325,32.75089964014394,32.75689724110356,32.762894842063176,32.76889244302279,32.77489004398241,32.78088764494202,32.78688524590164,32.792882846861254,32.79888044782087,32.80487804878049,32.810875649740105,32.81687325069972,32.82287085165934,32.828868452618956,32.834866053578565,32.84086365453818,32.8468612554978,32.852858856457416,32.85885645741703,32.86485405837665,32.87085165933627,32.876849260295884,32.882846861255494,32.88884446221511,32.89484206317473,32.900839664134345,32.90683726509396,32.91283486605358,32.918832467013196,32.92483006797281,32.93082766893243,32.93682526989204,32.94282287085166,32.948820471811274,32.95481807277089,32.96081567373051,32.966813274690125,32.97281087564974,32.97880847660936,32.98480607756897,32.990803678528586,32.9968012794882,33.00279888044782,33.00879648140744,33.014794082367054,33.02079168332667,33.02678928428629,33.032786885245905,33.038784486205515,33.04478208716513,33.05077968812475,33.056777289084366,33.06277489004398,33.0687724910036,33.07477009196322,33.080767692922834,33.08676529388244,33.09276289484206,33.09876049580168,33.104758096761294,33.11075569772091,33.11675329868053,33.122750899640145,33.12874850059976,33.13474610155938,33.14074370251899,33.146741303478606,33.15273890443822,33.15873650539784,33.16473410635746,33.170731707317074,33.17672930827669,33.18272690923631,33.188724510195925,33.194722111155535,33.20071971211515,33.20671731307477,33.212714914034386,33.218712514994,33.22471011595362,33.23070771691324,33.236705317872854,33.242702918832464,33.24870051979208,33.2546981207517,33.260695721711315,33.26669332267093,33.27269092363055,33.278688524590166,33.28468612554978,33.2906837265094,33.29668132746901,33.30267892842863,33.308676529388244,33.31467413034786,33.32067173130748,33.326669332267095,33.33266693322671,33.33866453418633,33.34466213514594,33.350659736105555,33.35665733706517,33.36265493802479,33.368652538984406,33.37465013994402,33.38064774090364,33.38664534186326,33.392642942822874,33.398640543782484,33.4046381447421,33.41063574570172,33.416633346661335,33.42263094762095,33.42862854858057,33.434626149540186,33.4406237504998,33.44662135145941,33.45261895241903,33.45861655337865,33.464614154338264,33.47061175529788,33.4766093562575,33.482606957217115,33.48860455817673,33.49460215913635,33.50059976009596,33.506597361055576,33.51259496201519,33.51859256297481,33.52459016393443,33.530587764894044,33.53658536585366,33.54258296681328,33.54858056777289,33.554578168732505,33.56057576969212,33.56657337065174,33.572570971611356,33.57856857257097,33.58456617353059,33.59056377449021,33.596561375449824,33.60255897640943,33.60855657736905,33.61455417832867,33.620551779288284,33.6265493802479,33.63254698120752,33.638544582167135,33.64454218312675,33.65053978408636,33.65653738504598,33.662534986005596,33.66853258696521,33.67453018792483,33.68052778888445,33.686525389844064,33.69252299080368,33.6985205917633,33.70451819272291,33.710515793682525,33.71651339464214,33.72251099560176,33.728508596561376,33.73450619752099,33.74050379848061,33.74650139944023,33.75249900039984,33.758496601359454,33.76449420231907,33.77049180327869,33.776489404238305,33.78248700519792,33.78848460615754,33.794482207117156,33.80047980807677,33.80647740903638,33.812475009996,33.81847261095562,33.824470211915234,33.83046781287485,33.83646541383447,33.842463014794085,33.8484606157537,33.85445821671331,33.86045581767293,33.866453418632545,33.87245101959216,33.87844862055178,33.884446221511396,33.89044382247101,33.89644142343063,33.90243902439025,33.90843662534986,33.914434226309474,33.92043182726909,33.92642942822871,33.932427029188325,33.93842463014794,33.94442223110756,33.950419832067176,33.956417433026786,33.9624150339864,33.96841263494602,33.97441023590564,33.980407836865254,33.98640543782487,33.99240303878449,33.998400639744105,34.00439824070372,34.01039584166333,34.01639344262295,34.022391043582566,34.02838864454218,34.0343862455018,34.04038384646142,34.046381447421034,34.05237904838065,34.05837664934026,34.06437425029988,34.070371851259495,34.07636945221911,34.08236705317873,34.088364654138346,34.09436225509796,34.10035985605758,34.1063574570172,34.11235505797681,34.11835265893642,34.12435025989604,34.13034786085566,34.136345461815274,34.14234306277489,34.14834066373451,34.154338264694125,34.160335865653735,34.16633346661335,34.17233106757297,34.178328668532586,34.1843262694922,34.19032387045182,34.19632147141144,34.202319072371054,34.20831667333067,34.21431427429028,34.2203118752499,34.226309476209515,34.23230707716913,34.23830467812875,34.244302279088366,34.25029988004798,34.2562974810076,34.26229508196721,34.26829268292683,34.274290283886444,34.28028788484606,34.28628548580568,34.292283086765295,34.29828068772491,34.30427828868453,34.310275889644146,34.316273490603756,34.32227109156337,34.32826869252299,34.33426629348261,34.340263894442224,34.34626149540184,34.35225909636146,34.358256697321075,34.364254298280684,34.3702518992403,34.37624950019992,34.382247101159535,34.38824470211915,34.39424230307877,34.400239904038386,34.406237504998,34.41223510595762,34.41823270691723,34.42423030787685,34.430227908836464,34.43622550979608,34.4422231107557,34.448220711715315,34.45421831267493,34.46021591363455,34.46621351459416,34.472211115553776,34.47820871651339,34.48420631747301,34.49020391843263,34.496201519392244,34.50219912035186,34.50819672131148,34.514194322271095,34.520191923230705,34.52618952419032,34.53218712514994,34.538184726109556,34.54418232706917,34.55017992802879,34.55617752898841,34.562175129948024,34.568172730907634,34.57417033186725,34.58016793282687,34.586165533786485,34.5921631347461,34.59816073570572,34.604158336665336,34.61015593762495,34.61615353858457,34.62215113954418,34.628148740503796,34.63414634146341,34.64014394242303,34.64614154338265,34.652139144342264,34.65813674530188,34.6641343462615,34.67013194722111,34.676129548180725,34.68212714914034,34.68812475009996,34.694122351059576,34.70011995201919,34.70611755297881,34.71211515393843,34.718112754898044,34.724110355857654,34.73010795681727,34.73610555777689,34.742103158736505,34.74810075969612,34.75409836065574,34.760095961615356,34.76609356257497,34.77209116353458,34.7780887644942,34.78408636545382,34.790083966413434,34.79608156737305,34.80207916833267,34.808076769292285,34.8140743702519,34.82007197121152,34.82606957217113,34.832067173130746,34.83806477409036,34.84406237504998,34.8500599760096,34.856057576969214,34.86205517792883,34.86805277888845,34.87405037984806,34.880047980807674,34.88604558176729,34.89204318272691,34.898040783686525,34.90403838464614,34.91003598560576,34.916033586565376,34.92203118752499,34.9280287884846,34.93402638944422,34.94002399040384,34.946021591363454,34.95201919232307,34.95801679328269,34.964014394242305,34.97001199520192,34.97600959616153,34.98200719712115,34.988004798080766,34.99400239904038,35.0,35.00599760095962,35.011995201919234,35.01799280287885,35.02399040383847,35.02998800479808,35.035985605757695,35.04198320671731,35.04798080767693,35.053978408636546,35.05997600959616,35.06597361055578,35.0719712115154,35.07796881247501,35.083966413434624,35.08996401439424,35.09596161535386,35.101959216313475,35.10795681727309,35.11395441823271,35.119952019192326,35.12594962015194,35.13194722111155,35.13794482207117,35.143942423030786,35.1499400239904,35.15593762495002,35.16193522590964,35.167932826869254,35.17393042782887,35.17992802878848,35.1859256297481,35.191923230707715,35.19792083166733,35.20391843262695,35.209916033586566,35.21591363454618,35.2219112355058,35.22790883646542,35.23390643742503,35.239904038384644,35.24590163934426,35.25189924030388,35.257896841263495,35.26389444222311,35.26989204318273,35.275889644142346,35.281887245101956,35.28788484606157,35.29388244702119,35.29988004798081,35.305877648940424,35.31187524990004,35.31787285085966,35.323870451819275,35.32986805277889,35.3358656537385,35.34186325469812,35.347860855657736,35.35385845661735,35.35985605757697,35.36585365853659,35.371851259496204,35.37784886045582,35.38384646141543,35.38984406237505,35.395841663334664,35.40183926429428,35.4078368652539,35.413834466213515,35.41983206717313,35.42582966813275,35.431827269092366,35.437824870051976,35.44382247101159,35.44982007197121,35.45581767293083,35.461815273890444,35.46781287485006,35.47381047580968,35.479808076769295,35.485805677728905,35.49180327868852,35.49780087964814,35.503798480607756,35.50979608156737,35.51579368252699,35.52179128348661,35.527788884446224,35.53378648540584,35.53978408636545,35.54578168732507,35.551779288284685,35.5577768892443,35.56377449020392,35.569772091163536,35.57576969212315,35.58176729308277,35.58776489404238,35.593762495002,35.599760095961614,35.60575769692123,35.61175529788085,35.617752898840465,35.62375049980008,35.6297481007597,35.635745701719316,35.641743302678925,35.64774090363854,35.65373850459816,35.659736105557776,35.66573370651739,35.67173130747701,35.67772890843663,35.683726509396244,35.689724110355854,35.69572171131547,35.70171931227509,35.707716913234705,35.71371451419432,35.71971211515394,35.725709716113556,35.73170731707317,35.73770491803279,35.7437025189924,35.74970011995202,35.755697720911634,35.76169532187125,35.76769292283087,35.773690523790485,35.7796881247501,35.78568572570972,35.79168332666933,35.797680927628946,35.80367852858856,35.80967612954818,35.8156737305078,35.821671331467414,35.82766893242703,35.83366653338665,35.839664134346265,35.845661735305875,35.85165933626549,35.85765693722511,35.863654538184726,35.86965213914434,35.87564974010396,35.88164734106358,35.88764494202319,35.8936425429828,35.89964014394242,35.90563774490204,35.911635345861654,35.91763294682127,35.92363054778089,35.929628148740505,35.93562574970012,35.94162335065974,35.94762095161935,35.953618552578966,35.95961615353858,35.9656137544982,35.97161135545782,35.977608956417434,35.98360655737705,35.98960415833667,35.99560175929628,36.001599360255895,36.00759696121551,36.01359456217513,36.019592163134746,36.02558976409436,36.03158736505398,36.0375849660136,36.043582566973214,36.049580167932824,36.05557776889244,36.06157536985206,36.067572970811675,36.07357057177129,36.07956817273091,36.085565773690526,36.09156337465014,36.09756097560975,36.10355857656937,36.10955617752899,36.115553778488604,36.12155137944822,36.12754898040784,36.133546581367455,36.13954418232707,36.14554178328669,36.1515393842463,36.157536985205915,36.16353458616553,36.16953218712515,36.175529788084766,36.18152738904438,36.187524990004,36.19352259096362,36.19952019192323,36.205517792882844,36.21151539384246,36.21751299480208,36.223510595761695,36.22950819672131,36.23550579768093,36.241503398640546,36.24750099960016,36.25349860055977,36.25949620151939,36.26549380247901,36.271491403438624,36.27748900439824,36.28348660535786,36.289484206317475,36.29548180727709,36.3014794082367,36.30747700919632,36.313474610155936,36.31947221111555,36.32546981207517,36.33146741303479,36.337465013994404,36.34346261495402,36.34946021591364,36.35545781687325,36.361455417832865,36.36745301879248,36.3734506197521,36.379448220711716,36.38544582167133,36.39144342263095,36.39744102359057,36.403438624550176,36.40943622550979,36.41543382646941,36.42143142742903,36.427429028388644,36.43342662934826,36.43942423030788,36.445421831267495,36.45141943222711,36.45741703318672,36.46341463414634,36.469412235105956,36.47540983606557,36.48140743702519,36.48740503798481,36.493402638944424,36.49940023990404,36.50539784086365,36.51139544182327,36.517393042782885,36.5233906437425,36.52938824470212,36.535385845661736,36.54138344662135,36.54738104758097,36.55337864854059,36.5593762495002,36.565373850459814,36.57137145141943,36.57736905237905,36.583366653338665,36.58936425429828,36.5953618552579,36.601359456217516,36.607357057177126,36.61335465813674,36.61935225909636,36.62534986005598,36.631347461015594,36.63734506197521,36.64334266293483,36.649340263894445,36.65533786485406,36.66133546581367,36.66733306677329,36.673330667732905,36.67932826869252,36.68532586965214,36.691323470611756,36.69732107157137,36.70331867253099,36.7093162734906,36.71531387445022,36.721311475409834,36.72730907636945,36.73330667732907,36.739304278288685,36.7453018792483,36.75129948020792,36.757297081167536,36.763294682127146,36.76929228308676,36.77528988404638,36.781287485006,36.787285085965614,36.79328268692523,36.79928028788485,36.805277888844465,36.811275489804075,36.81727309076369,36.82327069172331,36.829268292682926,36.83526589364254,36.84126349460216,36.84726109556178,36.853258696521394,36.85925629748101,36.86525389844062,36.87125149940024,36.877249100359855,36.88324670131947,36.88924430227909,36.895241903238706,36.90123950419832,36.90723710515794,36.91323470611756,36.919232307077166,36.92522990803678,36.9312275089964,36.93722510995602,36.943222710915634,36.94922031187525,36.95521791283487,36.961215513794485,36.967213114754095,36.97321071571371,36.97920831667333,36.985205917632946,36.99120351859256,36.99720111955218,37.0031987205118,37.009196321471414,37.01519392243103,37.02119152339064,37.02718912435026,37.033186725309875,37.03918432626949,37.04518192722911,37.051179528188726,37.05717712914834,37.06317473010796,37.06917233106757,37.07516993202719,37.081167532986804,37.08716513394642,37.09316273490604,37.099160335865655,37.10515793682527,37.11115553778489,37.117153138744506,37.123150739704116,37.12914834066373,37.13514594162335,37.14114354258297,37.147141143542584,37.1531387445022,37.15913634546182,37.165133946421435,37.171131547381044,37.17712914834066,37.18312674930028,37.189124350259895,37.19512195121951,37.20111955217913,37.207117153138746,37.21311475409836,37.21911235505798,37.22510995601759,37.23110755697721,37.237105157936824,37.24310275889644,37.24910035985606,37.255097960815675,37.26109556177529,37.26709316273491,37.27309076369452,37.279088364654136,37.28508596561375,37.29108356657337,37.29708116753299,37.303078768492604,37.30907636945222,37.31507397041184,37.321071571371455,37.327069172331065,37.33306677329068,37.3390643742503,37.345061975209916,37.35105957616953,37.35705717712915,37.36305477808877,37.369052379048384,37.375049980007994,37.38104758096761,37.38704518192723,37.393042782886845,37.39904038384646,37.40503798480608,37.411035585765696,37.41703318672531,37.42303078768493,37.42902838864454,37.435025989604156,37.44102359056377,37.44702119152339,37.45301879248301,37.459016393442624,37.46501399440224,37.47101159536186,37.47700919632147,37.483006797281085,37.4890043982407,37.49500199920032,37.500999600159936,37.50699720111955,37.51299480207917,37.51899240303879,37.524990003998404,37.530987604958014,37.53698520591763,37.54298280687725,37.548980407836865,37.55497800879648,37.5609756097561,37.566973210715716,37.57297081167533,37.57896841263494,37.58496601359456,37.59096361455418,37.596961215513794,37.60295881647341,37.60895641743303,37.614954018392645,37.62095161935226,37.62694922031188,37.63294682127149,37.638944422231106,37.64494202319072,37.65093962415034,37.65693722510996,37.66293482606957,37.66893242702919,37.67493002798881,37.68092762894842,37.686925229908034,37.69292283086765,37.69892043182727,37.704918032786885,37.7109156337465,37.71691323470612,37.722910835665736,37.72890843662535,37.73490603758496,37.74090363854458,37.7469012395042,37.752898840463814,37.75889644142343,37.76489404238305,37.770891643342665,37.77688924430228,37.78288684526189,37.78888444622151,37.794882047181126,37.80087964814074,37.80687724910036,37.81287485005998,37.818872451019594,37.82487005197921,37.83086765293883,37.83686525389844,37.842862854858055,37.84886045581767,37.85485805677729,37.860855657736906,37.86685325869652,37.87285085965614,37.87884846061576,37.88484606157537,37.890843662534984,37.8968412634946,37.90283886445422,37.908836465413835,37.91483406637345,37.92083166733307,37.926829268292686,37.9328268692523,37.93882447021191,37.94482207117153,37.950819672131146,37.95681727309076,37.96281487405038,37.96881247501,37.974810075969614,37.98080767692923,37.98680527788884,37.99280287884846,37.998800479808075,38.00479808076769,38.01079568172731,38.016793282686926,38.02279088364654,38.02878848460616,38.03478608556578,38.04078368652539,38.046781287485004,38.05277888844462,38.05877648940424,38.064774090363855,38.07077169132347,38.07676929228309,38.082766893242706,38.088764494202316,38.09476209516193,38.10075969612155,38.10675729708117,38.112754898040784,38.1187524990004,38.12475009996002,38.130747700919635,38.13674530187925,38.14274290283886,38.14874050379848,38.154738104758096,38.16073570571771,38.16673330667733,38.17273090763695,38.17872850859656,38.18472610955618,38.19072371051579,38.19672131147541,38.202718912435024,38.20871651339464,38.21471411435426,38.220711715313875,38.22670931627349,38.23270691723311,38.238704518192726,38.244702119152336,38.25069972011195,38.25669732107157,38.26269492203119,38.268692522990804,38.27469012395042,38.28068772491004,38.286685325869655,38.292682926829265,38.29868052778888,38.3046781287485,38.310675729708116,38.31667333066773,38.32267093162735,38.32866853258697,38.334666133546584,38.3406637345062,38.34666133546581,38.35265893642543,38.358656537385045,38.36465413834466,38.37065173930428,38.376649340263896,38.38264694122351,38.38864454218313,38.39464214314274,38.40063974410236,38.406637345061974,38.41263494602159,38.41863254698121,38.424630147940825,38.43062774890044,38.43662534986006,38.442622950819676,38.448620551779285,38.4546181527389,38.46061575369852,38.466613354658136,38.47261095561775,38.47860855657737,38.48460615753699,38.490603758496604,38.496601359456214,38.50259896041583,38.50859656137545,38.514594162335065,38.52059176329468,38.5265893642543,38.532586965213916,38.53858456617353,38.54458216713315,38.55057976809276,38.55657736905238,38.562574970011994,38.56857257097161,38.57457017193123,38.580567772890845,38.58656537385046,38.59256297481008,38.59856057576969,38.604558176729306,38.61055577768892,38.61655337864854,38.62255097960816,38.628548580567774,38.63454618152739,38.64054378248701,38.646541383446625,38.652538984406235,38.65853658536585,38.66453418632547,38.670531787285086,38.6765293882447,38.68252698920432,38.68852459016394,38.69452219112355,38.70051979208316,38.70651739304278,38.7125149940024,38.718512594962014,38.72451019592163,38.73050779688125,38.736505397840865,38.74250299880048,38.7485005997601,38.75449820071971,38.760495801679326,38.76649340263894,38.77249100359856,38.77848860455818,38.784486205517794,38.79048380647741,38.79648140743703,38.80247900839664,38.808476609356255,38.81447421031587,38.82047181127549,38.826469412235106,38.83246701319472,38.83846461415434,38.84446221511396,38.850459816073574,38.856457417033184,38.8624550179928,38.86845261895242,38.874450219912035,38.88044782087165,38.88644542183127,38.892443022790886,38.8984406237505,38.90443822471011,38.91043582566973,38.91643342662935,38.922431027588964,38.92842862854858,38.9344262295082,38.940423830467815,38.94642143142743,38.95241903238705,38.95841663334666,38.964414234306275,38.97041183526589,38.97640943622551,38.982407037185126,38.98840463814474,38.99440223910436,39.00039984006398,39.00639744102359,39.012395041983204,39.01839264294282,39.02439024390244,39.030387844862055,39.03638544582167,39.04238304678129,39.048380647740906,39.05437824870052,39.06037584966013,39.06637345061975,39.07237105157937,39.078368652538984,39.0843662534986,39.09036385445822,39.096361455417835,39.10235905637745,39.10835665733706,39.11435425829668,39.120351859256296,39.12634946021591,39.13234706117553,39.13834466213515,39.144342263094764,39.15033986405438,39.156337465014,39.16233506597361,39.168332666933225,39.17433026789284,39.18032786885246,39.186325469812076,39.19232307077169,39.19832067173131,39.20431827269093,39.210315873650536,39.21631347461015,39.22231107556977,39.22830867652939,39.234306277489004,39.24030387844862,39.24630147940824,39.252299080367855,39.25829668132747,39.26429428228708,39.2702918832467,39.276289484206316,39.28228708516593,39.28828468612555,39.29428228708517,39.300279888044784,39.3062774890044,39.31227508996401,39.31827269092363,39.324270291883245,39.33026789284286,39.33626549380248,39.342263094762096,39.34826069572171,39.35425829668133,39.36025589764095,39.36625349860056,39.372251099560174,39.37824870051979,39.38424630147941,39.390243902439025,39.39624150339864,39.40223910435826,39.408236705317876,39.414234306277486,39.4202319072371,39.42622950819672,39.43222710915634,39.43822471011595,39.44422231107557,39.45021991203519,39.456217512994805,39.46221511395442,39.46821271491403,39.47421031587365,39.480207916833265,39.48620551779288,39.4922031187525,39.498200719712116,39.50419832067173,39.51019592163135,39.51619352259096,39.52219112355058,39.528188724510194,39.53418632546981,39.54018392642943,39.546181527389045,39.55217912834866,39.55817672930828,39.564174330267896,39.570171931227506,39.57616953218712,39.58216713314674,39.58816473410636,39.594162335065974,39.60015993602559,39.60615753698521,39.612155137944825,39.618152738904435,39.62415033986405,39.63014794082367,39.636145541783286,39.6421431427429,39.64814074370252,39.65413834466214,39.660135945621754,39.66613354658137,39.67213114754098,39.6781287485006,39.684126349460215,39.69012395041983,39.69612155137945,39.702119152339066,39.70811675329868,39.7141143542583,39.72011195521791,39.726109556177526,39.73210715713714,39.73810475809676,39.74410235905638,39.750099960015994,39.75609756097561,39.76209516193523,39.768092762894845,39.774090363854455,39.78008796481407,39.78608556577369,39.792083166733306,39.79808076769292,39.80407836865254,39.81007596961216,39.816073570571774,39.822071171531384,39.828068772491,39.83406637345062,39.840063974410235,39.84606157536985,39.85205917632947,39.858056777289086,39.8640543782487,39.87005197920832,39.87604958016793,39.88204718112755,39.888044782087164,39.89404238304678,39.9000399840064,39.906037584966015,39.91203518592563,39.91803278688525,39.92403038784486,39.930027988804476,39.93602558976409,39.94202319072371,39.94802079168333,39.95401839264294,39.96001599360256,39.96601359456218,39.972011195521794,39.978008796481404,39.98400639744102,39.99000399840064,39.996001599360255,40.00199920031987,40.00799680127949,40.013994402239106,40.01999200319872,40.02598960415833,40.03198720511795,40.03798480607757,40.043982407037184,40.0499800079968,40.05597760895642,40.061975209916035,40.06797281087565,40.07397041183527,40.07996801279488,40.085965613754496,40.09196321471411,40.09796081567373,40.10395841663335,40.109956017592964,40.11595361855258,40.1219512195122,40.12794882047181,40.133946421431425,40.13994402239104,40.14594162335066,40.151939224310276,40.15793682526989,40.16393442622951,40.16993202718913,40.175929628148744,40.181927229108354,40.18792483006797,40.19392243102759,40.199920031987205,40.20591763294682,40.21191523390644,40.217912834866056,40.22391043582567,40.22990803678528,40.2359056377449,40.241903238704516,40.24790083966413,40.25389844062375,40.25989604158337,40.265893642542984,40.2718912435026,40.27788884446222,40.28388644542183,40.289884046381445,40.29588164734106,40.30187924830068,40.307876849260296,40.31387445021991,40.31987205117953,40.32586965213915,40.33186725309876,40.337864854058374,40.34386245501799,40.34986005597761,40.355857656937225,40.36185525789684,40.36785285885646,40.373850459816076,40.37984806077569,40.3858456617353,40.39184326269492,40.39784086365454,40.403838464614154,40.40983606557377,40.41583366653339,40.421831267493005,40.42782886845262,40.43382646941223,40.43982407037185,40.445821671331466,40.45181927229108,40.4578168732507,40.46381447421032,40.46981207516993,40.47580967612955,40.48180727708917,40.48780487804878,40.493802479008394,40.49980007996801,40.50579768092763,40.511795281887245,40.51779288284686,40.52379048380648,40.529788084766096,40.535785685725706,40.54178328668532,40.54778088764494,40.55377848860456,40.559776089564174,40.56577369052379,40.57177129148341,40.577768892443025,40.58376649340264,40.58976409436225,40.59576169532187,40.601759296281486,40.6077568972411,40.61375449820072,40.61975209916034,40.625749700119954,40.63174730107957,40.63774490203919,40.6437425029988,40.649740103958415,40.65573770491803,40.66173530587765,40.667732906837266,40.67373050779688,40.6797281087565,40.68572570971612,40.69172331067573,40.697720911635344,40.70371851259496,40.70971611355458,40.715713714514195,40.72171131547381,40.72770891643343,40.733706517393045,40.73970411835266,40.74570171931227,40.75169932027189,40.757696921231506,40.76369452219112,40.76969212315074,40.77568972411036,40.781687325069974,40.78768492602959,40.7936825269892,40.79968012794882,40.805677728908435,40.81167532986805,40.81767293082767,40.823670531787286,40.8296681327469,40.83566573370652,40.84166333466614,40.84766093562575,40.853658536585364,40.85965613754498,40.8656537385046,40.871651339464215,40.87764894042383,40.88364654138345,40.889644142343066,40.895641743302676,40.90163934426229,40.90763694522191,40.91363454618153,40.919632147141144,40.92562974810076,40.93162734906038,40.937624950019995,40.94362255097961,40.94962015193922,40.95561775289884,40.961615353858456,40.96761295481807,40.97361055577769,40.97960815673731,40.98560575769692,40.99160335865654,40.99760095961615,41.00359856057577,41.009596161535384,41.015593762495,41.02159136345462,41.027588964414235,41.03358656537385,41.03958416633347,41.045581767293086,41.051579368252696,41.05757696921231,41.06357457017193,41.06957217113155,41.075569772091164,41.08156737305078,41.0875649740104,41.093562574970015,41.099560175929625,41.10555777688924,41.11155537784886,41.117552978808476,41.12355057976809,41.12954818072771,41.13554578168733,41.141543382646944,41.14754098360656,41.15353858456617,41.15953618552579,41.165533786485405,41.17153138744502,41.17752898840464,41.183526589364256,41.18952419032387,41.19552179128349,41.2015193922431,41.20751699320272,41.21351459416233,41.21951219512195,41.22550979608157,41.231507397041185,41.2375049980008,41.24350259896042,41.249500199920035,41.255497800879645,41.26149540183926,41.26749300279888,41.273490603758496,41.27948820471811,41.28548580567773,41.29148340663735,41.297481007596964,41.303478608556574,41.30947620951619,41.31547381047581,41.321471411435425,41.32746901239504,41.33346661335466,41.339464214314276,41.34546181527389,41.35145941623351,41.35745701719312,41.36345461815274,41.369452219112354,41.37544982007197,41.38144742103159,41.387445021991205,41.39344262295082,41.39944022391044,41.40543782487005,41.411435425829666,41.41743302678928,41.4234306277489,41.42942822870852,41.435425829668134,41.44142343062775,41.44742103158737,41.453418632546985,41.459416233506595,41.46541383446621,41.47141143542583,41.477409036385446,41.48340663734506,41.48940423830468,41.4954018392643,41.50139944022391,41.50739704118352,41.51339464214314,41.51939224310276,41.525389844062374,41.53138744502199,41.53738504598161,41.543382646941225,41.54938024790084,41.55537784886046,41.56137544982007,41.567373050779686,41.5733706517393,41.57936825269892,41.58536585365854,41.591363454618154,41.59736105557777,41.60335865653739,41.609356257497,41.615353858456615,41.62135145941623,41.62734906037585,41.633346661335466,41.63934426229508,41.6453418632547,41.65133946421432,41.657337065173934,41.663334666133544,41.66933226709316,41.67532986805278,41.681327469012395,41.68732506997201,41.69332267093163,41.699320271891246,41.70531787285086,41.71131547381047,41.71731307477009,41.72331067572971,41.72930827668932,41.73530587764894,41.74130347860856,41.747301079568174,41.75329868052779,41.75929628148741,41.76529388244702,41.771291483406635,41.77728908436625,41.78328668532587,41.789284286285486,41.7952818872451,41.80127948820472,41.80727708916434,41.81327469012395,41.819272291083564,41.82526989204318,41.8312674930028,41.837265093962415,41.84326269492203,41.84926029588165,41.855257896841266,41.86125549780088,41.86725309876049,41.87325069972011,41.87924830067973,41.885245901639344,41.89124350259896,41.89724110355858,41.903238704518195,41.90923630547781,41.91523390643742,41.92123150739704,41.927229108356656,41.93322670931627,41.93922431027589,41.94522191123551,41.951219512195124,41.95721711315474,41.96321471411436,41.96921231507397,41.975209916033585,41.9812075169932,41.98720511795282,41.993202718912436,41.99920031987205,42.00519792083167,42.01119552179129,42.017193122750896,42.02319072371051,42.02918832467013,42.03518592562975,42.041183526589364,42.04718112754898,42.0531787285086,42.059176329468215,42.06517393042783,42.07117153138744,42.07716913234706,42.083166733306676,42.08916433426629,42.09516193522591,42.10115953618553,42.107157137145144,42.11315473810476,42.11915233906437,42.12514994002399,42.131147540983605,42.13714514194322,42.14314274290284,42.149140343862456,42.15513794482207,42.16113554578169,42.16713314674131,42.17313074770092,42.179128348660534,42.18512594962015,42.19112355057977,42.197121151539385,42.203118752499,42.20911635345862,42.215113954418236,42.221111555377846,42.22710915633746,42.23310675729708,42.2391043582567,42.24510195921631,42.25109956017593,42.25709716113555,42.263094762095164,42.26909236305478,42.27508996401439,42.28108756497401,42.287085165933625,42.29308276689324,42.29908036785286,42.305077968812476,42.31107556977209,42.31707317073171,42.32307077169132,42.32906837265094,42.335065973610554,42.34106357457017,42.34706117552979,42.353058776489405,42.35905637744902,42.36505397840864,42.371051579368256,42.377049180327866,42.38304678128748,42.3890443822471,42.39504198320672,42.401039584166334,42.40703718512595,42.41303478608557,42.419032387045185,42.425029988004795,42.43102758896441,42.43702518992403,42.443022790883646,42.44902039184326,42.45501799280288,42.4610155937625,42.467013194722114,42.47301079568173,42.47900839664134,42.48500599760096,42.491003598560575,42.49700119952019,42.50299880047981,42.508996401439425,42.51499400239904,42.52099160335866,42.52698920431827,42.532986805277886,42.5389844062375,42.54498200719712,42.55097960815674,42.556977209116354,42.56297481007597,42.56897241103559,42.574970011995205,42.580967612954815,42.58696521391443,42.59296281487405,42.598960415833666,42.60495801679328,42.6109556177529,42.61695321871252,42.622950819672134,42.628948420631744,42.63494602159136,42.64094362255098,42.646941223510595,42.65293882447021,42.65893642542983,42.664934026389446,42.67093162734906,42.67692922830868,42.68292682926829,42.68892443022791,42.694922031187524,42.70091963214714,42.70691723310676,42.712914834066375,42.71891243502599,42.72491003598561,42.73090763694522,42.736905237904836,42.74290283886445,42.74890043982407,42.75489804078369,42.7608956417433,42.76689324270292,42.77289084366254,42.778888444622154,42.784886045581764,42.79088364654138,42.796881247501,42.802878848460615,42.80887644942023,42.81487405037985,42.820871651339466,42.82686925229908,42.83286685325869,42.83886445421831,42.84486205517793,42.850859656137544,42.85685725709716,42.86285485805678,42.868852459016395,42.87485005997601,42.88084766093563,42.88684526189524,42.892842862854856,42.89884046381447,42.90483806477409,42.91083566573371,42.916833266693324,42.92283086765294,42.92882846861256,42.93482606957217,42.940823670531785,42.9468212714914,42.95281887245102,42.958816473410636,42.96481407437025,42.97081167532987,42.97680927628949,42.982806877249104,42.98880447820871,42.99480207916833,43.00079968012795,43.006797281087564,43.01279488204718,43.0187924830068,43.024790083966415,43.03078768492603,43.03678528588564,43.04278288684526,43.048780487804876,43.05477808876449,43.06077568972411,43.06677329068373,43.072770891643344,43.07876849260296,43.08476609356258,43.09076369452219,43.096761295481805,43.10275889644142,43.10875649740104,43.114754098360656,43.12075169932027,43.12674930027989,43.13274690123951,43.13874450219912,43.144742103158734,43.15073970411835,43.15673730507797,43.162734906037585,43.1687325069972,43.17473010795682,43.180727708916436,43.18672530987605,43.19272291083566,43.19872051179528,43.2047181127549,43.210715713714514,43.21671331467413,43.22271091563375,43.228708516593365,43.23470611755298,43.24070371851259,43.24670131947221,43.252698920431826,43.25869652139144,43.26469412235106,43.27069172331068,43.27668932427029,43.28268692522991,43.28868452618953,43.29468212714914,43.300679728108754,43.30667732906837,43.31267493002799,43.318672530987605,43.32467013194722,43.33066773290684,43.336665333866456,43.342662934826066,43.34866053578568,43.3546581367453,43.36065573770492,43.366653338664534,43.37265093962415,43.37864854058377,43.384646141543385,43.390643742503,43.39664134346261,43.40263894442223,43.408636545381846,43.41463414634146,43.42063174730108,43.4266293482607,43.432626949220314,43.43862455017993,43.44462215113954,43.45061975209916,43.456617353058775,43.46261495401839,43.46861255497801,43.474610155937626,43.48060775689724,43.48660535785686,43.49260295881648,43.49860055977609,43.5045981607357,43.51059576169532,43.51659336265494,43.522590963614554,43.52858856457417,43.53458616553379,43.540583766493405,43.546581367453015,43.55257896841263,43.55857656937225,43.564574170331866,43.57057177129148,43.5765693722511,43.58256697321072,43.588564574170334,43.59456217512995,43.60055977608956,43.60655737704918,43.612554978008795,43.61855257896841,43.62455017992803,43.630547780887646,43.63654538184726,43.64254298280688,43.64854058376649,43.65453818472611,43.660535785685724,43.66653338664534,43.67253098760496,43.678528588564575,43.68452618952419,43.69052379048381,43.696521391443426,43.702518992403036,43.70851659336265,43.71451419432227,43.72051179528189,43.726509396241504,43.73250699720112,43.73850459816074,43.744502199120355,43.750499800079965,43.75649740103958,43.7624950019992,43.768492602958815,43.77449020391843,43.78048780487805,43.78648540583767,43.79248300679728,43.7984806077569,43.80447820871651,43.81047580967613,43.816473410635744,43.82247101159536,43.82846861255498,43.834466213514595,43.84046381447421,43.84646141543383,43.85245901639344,43.858456617353056,43.86445421831267,43.87045181927229,43.87644942023191,43.882447021191524,43.88844462215114,43.89444222311076,43.900439824070375,43.906437425029985,43.9124350259896,43.91843262694922,43.924430227908836,43.93042782886845,43.93642542982807,43.94242303078769,43.948420631747304,43.954418232706914,43.96041583366653,43.96641343462615,43.972411035585765,43.97840863654538,43.984406237505,43.990403838464616,43.99640143942423,44.00239904038385,44.00839664134346,44.01439424230308,44.02039184326269,44.02638944422231,44.03238704518193,44.038384646141544,44.04438224710116,44.05037984806078,44.05637744902039,44.062375049980005,44.06837265093962,44.07437025189924,44.080367852858856,44.08636545381847,44.09236305477809,44.09836065573771,44.104358256697324,44.110355857656934,44.11635345861655,44.12235105957617,44.128348660535785,44.1343462614954,44.14034386245502,44.146341463414636,44.15233906437425,44.15833666533386,44.16433426629348,44.1703318672531,44.176329468212714,44.18232706917233,44.18832467013195,44.194322271091565,44.20031987205118,44.2063174730108,44.21231507397041,44.218312674930026,44.22431027588964,44.23030787684926,44.23630547780888,44.242303078768494,44.24830067972811,44.25429828068773,44.26029588164734,44.266293482606955,44.27229108356657,44.27828868452619,44.284286285485805,44.29028388644542,44.29628148740504,44.302279088364656,44.30827668932427,44.31427429028388,44.3202718912435,44.32626949220312,44.332267093162734,44.33826469412235,44.34426229508197,44.350259896041585,44.3562574970012,44.36225509796081,44.36825269892043,44.374250299880046,44.38024790083966,44.38624550179928,44.3922431027589,44.398240703718514,44.40423830467813,44.41023590563775,44.41623350659736,44.422231107556975,44.42822870851659,44.43422630947621,44.440223910435826,44.44622151139544,44.45221911235506,44.45821671331468,44.464214314274294,44.470211915233904,44.47620951619352,44.48220711715314,44.488204718112755,44.49420231907237,44.50019992003199,44.506197520991606,44.51219512195122,44.51819272291083,44.52419032387045,44.53018792483007,44.53618552578968,44.5421831267493,44.54818072770892,44.554178328668534,44.56017592962815,44.56617353058777,44.57217113154738,44.578168732506995,44.58416633346661,44.59016393442623,44.596161535385846,44.60215913634546,44.60815673730508,44.6141543382647,44.62015193922431,44.626149540183924,44.63214714114354,44.63814474210316,44.644142343062775,44.65013994402239,44.65613754498201,44.662135145941626,44.66813274690124,44.67413034786085,44.68012794882047,44.68612554978009,44.692123150739704,44.69812075169932,44.70411835265894,44.710115953618555,44.71611355457817,44.72211115553778,44.7281087564974,44.734106357457016,44.74010395841663,44.74610155937625,44.75209916033587,44.758096761295484,44.7640943622551,44.77009196321472,44.77608956417433,44.782087165133944,44.78808476609356,44.79408236705318,44.800079968012795,44.80607756897241,44.81207516993203,44.818072770891646,44.824070371851256,44.83006797281087,44.83606557377049,44.84206317473011,44.848060775689724,44.85405837664934,44.86005597760896,44.866053578568575,44.87205117952819,44.8780487804878,44.88404638144742,44.890043982407036,44.89604158336665,44.90203918432627,44.90803678528589,44.914034386245504,44.92003198720512,44.92602958816473,44.93202718912435,44.938024790083965,44.94402239104358,44.9500199920032,44.956017592962816,44.96201519392243,44.96801279488205,44.97401039584167,44.98000799680128,44.986005597760894,44.99200319872051,44.99800079968013,45.003998400639745,45.00999600159936,45.01599360255898,45.021991203518596,45.027988804478206,45.03398640543782,45.03998400639744,45.04598160735706,45.05197920831667,45.05797680927629,45.06397441023591,45.069972011195524,45.07596961215514,45.08196721311475,45.08796481407437,45.093962415033985,45.0999600159936,45.10595761695322,45.111955217912836,45.11795281887245,45.12395041983207,45.12994802079168,45.1359456217513,45.141943222710914,45.14794082367053,45.15393842463015,45.159936025589765,45.16593362654938,45.171931227509,45.177928828468616,45.183926429428226,45.18992403038784,45.19592163134746,45.20191923230708,45.207916833266694,45.21391443422631,45.21991203518593,45.225909636145545,45.231907237105155,45.23790483806477,45.24390243902439,45.249900039984006,45.25589764094362,45.26189524190324,45.26789284286286,45.273890443822474,45.27988804478209,45.2858856457417,45.29188324670132,45.297880847660934,45.30387844862055,45.30987604958017,45.315873650539785,45.3218712514994,45.32786885245902,45.33386645341863,45.339864054378246,45.34586165533786,45.35185925629748,45.3578568572571,45.363854458216714,45.36985205917633,45.37584966013595,45.381847261095565,45.387844862055175,45.39384246301479,45.39984006397441,45.405837664934026,45.41183526589364,45.41783286685326,45.42383046781288,45.429828068772494,45.435825669732104,45.44182327069172,45.44782087165134,45.453818472610955,45.45981607357057,45.46581367453019,45.471811275489806,45.47780887644942,45.48380647740904,45.48980407836865,45.49580167932827,45.501799280287884,45.5077968812475,45.51379448220712,45.519792083166735,45.52578968412635,45.53178728508597,45.53778488604558,45.543782487005195,45.54978008796481,45.55577768892443,45.56177528988405,45.56777289084366,45.57377049180328,45.5797680927629,45.585765693722514,45.591763294682124,45.59776089564174,45.60375849660136,45.609756097560975,45.61575369852059,45.62175129948021,45.627748900439826,45.63374650139944,45.63974410235905,45.64574170331867,45.65173930427829,45.657736905237904,45.66373450619752,45.66973210715714,45.675729708116755,45.68172730907637,45.68772491003599,45.6937225109956,45.699720111955216,45.70571771291483,45.71171531387445,45.71771291483407,45.723710515793684,45.7297081167533,45.73570571771292,45.74170331867253,45.747700919632145,45.75369852059176,45.75969612155138,45.765693722510996,45.77169132347061,45.77768892443023,45.78368652538985,45.789684126349464,45.79568172730907,45.80167932826869,45.80767692922831,45.813674530187924,45.81967213114754,45.82566973210716,45.831667333066775,45.83766493402639,45.843662534986,45.84966013594562,45.855657736905236,45.86165533786485,45.86765293882447,45.87365053978409,45.879648140743704,45.88564574170332,45.89164334266294,45.89764094362255,45.903638544582165,45.90963614554178,45.9156337465014,45.921631347461016,45.92762894842063,45.93362654938025,45.93962415033987,45.94562175129948,45.951619352259094,45.95761695321871,45.96361455417833,45.969612155137945,45.97560975609756,45.98160735705718,45.987604958016796,45.99360255897641,45.99960015993602,46.00559776089564,46.01159536185526,46.017592962814874,46.02359056377449,46.02958816473411,46.035585765693725,46.04158336665334,46.04758096761295,46.05357856857257,46.059576169532185,46.0655737704918,46.07157137145142,46.077568972411036,46.08356657337065,46.08956417433027,46.09556177528989,46.1015593762495,46.107556977209114,46.11355457816873,46.11955217912835,46.125549780087965,46.13154738104758,46.1375449820072,46.143542582966816,46.149540183926426,46.15553778488604,46.16153538584566,46.16753298680528,46.173530587764894,46.17952818872451,46.18552578968413,46.191523390643745,46.19752099160336,46.20351859256297,46.20951619352259,46.215513794482206,46.22151139544182,46.22750899640144,46.23350659736106,46.239504198320674,46.24550179928029,46.2514994002399,46.25749700119952,46.263494602159135,46.26949220311875,46.27548980407837,46.281487405037986,46.2874850059976,46.29348260695722,46.29948020791684,46.30547780887645,46.31147540983606,46.31747301079568,46.3234706117553,46.329468212714914,46.33546581367453,46.34146341463415,46.347461015593765,46.353458616553375,46.35945621751299,46.36545381847261,46.371451419432226,46.37744902039184,46.38344662135146,46.38944422231108,46.395441823270694,46.40143942423031,46.40743702518992,46.41343462614954,46.419432227109155,46.42542982806877,46.43142742902839,46.437425029988006,46.44342263094762,46.44942023190724,46.45541783286685,46.46141543382647,46.467413034786084,46.4734106357457,46.47940823670532,46.485405837664935,46.49140343862455,46.49740103958417,46.503398640543786,46.509396241503396,46.51539384246301,46.52139144342263,46.52738904438225,46.533386645341864,46.53938424630148,46.5453818472611,46.551379448220715,46.557377049180324,46.56337465013994,46.56937225109956,46.575369852059175,46.58136745301879,46.58736505397841,46.593362654938026,46.59936025589764,46.60535785685726,46.61135545781687,46.61735305877649,46.623350659736104,46.62934826069572,46.63534586165534,46.641343462614955,46.64734106357457,46.65333866453419,46.6593362654938,46.665333866453416,46.67133146741303,46.67732906837265,46.68332666933227,46.689324270291884,46.6953218712515,46.70131947221112,46.707317073170735,46.713314674130345,46.71931227508996,46.72530987604958,46.731307477009196,46.73730507796881,46.74330267892843,46.74930027988805,46.755297880847664,46.761295481807274,46.76729308276689,46.77329068372651,46.779288284686125,46.78528588564574,46.79128348660536,46.797281087564976,46.80327868852459,46.80927628948421,46.81527389044382,46.82127149140344,46.82726909236305,46.83326669332267,46.83926429428229,46.845261895241904,46.85125949620152,46.85725709716114,46.86325469812075,46.869252299080365,46.87524990003998,46.8812475009996,46.887245101959216,46.89324270291883,46.89924030387845,46.90523790483807,46.911235505797684,46.917233106757294,46.92323070771691,46.92922830867653,46.935225909636145,46.94122351059576,46.94722111155538,46.953218712514996,46.95921631347461,46.96521391443422,46.97121151539384,46.97720911635346,46.983206717313074,46.98920431827269,46.99520191923231,47.001199520191925,47.00719712115154,47.01319472211116,47.01919232307077,47.025189924030386,47.03118752499,47.03718512594962,47.04318272690924,47.049180327868854,47.05517792882847,47.06117552978809,47.0671731307477,47.073170731707314,47.07916833266693,47.08516593362655,47.091163534586165,47.09716113554578,47.1031587365054,47.109156337465016,47.11515393842463,47.12115153938424,47.12714914034386,47.13314674130348,47.139144342263094,47.14514194322271,47.15113954418233,47.157137145141945,47.16313474610156,47.16913234706117,47.17512994802079,47.181127548980406,47.18712514994002,47.19312275089964,47.19912035185926,47.205117952818874,47.21111555377849,47.21711315473811,47.22311075569772,47.229108356657335,47.23510595761695,47.24110355857657,47.247101159536186,47.2530987604958,47.25909636145542,47.26509396241504,47.27109156337465,47.277089164334264,47.28308676529388,47.2890843662535,47.295081967213115,47.30107956817273,47.30707716913235,47.313074770091966,47.31907237105158,47.32506997201119,47.33106757297081,47.33706517393043,47.34306277489004,47.34906037584966,47.35505797680928,47.361055577768894,47.36705317872851,47.37305077968812,47.37904838064774,47.385045981607355,47.39104358256697,47.39704118352659,47.403038784486206,47.40903638544582,47.41503398640544,47.42103158736506,47.42702918832467,47.433026789284284,47.4390243902439,47.44502199120352,47.451019592163135,47.45701719312275,47.46301479408237,47.469012395041986,47.475009996001596,47.48100759696121,47.48700519792083,47.49300279888045,47.499000399840064,47.50499800079968,47.5109956017593,47.516993202718915,47.52299080367853,47.52898840463814,47.53498600559776,47.540983606557376,47.54698120751699,47.55297880847661,47.55897640943623,47.564974010395844,47.57097161135546,47.57696921231507,47.58296681327469,47.588964414234304,47.59496201519392,47.60095961615354,47.606957217113155,47.61295481807277,47.61895241903239,47.624950019992006,47.630947620951616,47.63694522191123,47.64294282287085,47.64894042383047,47.654938024790084,47.6609356257497,47.66693322670932,47.672930827668935,47.678928428628545,47.68492602958816,47.69092363054778,47.696921231507396,47.70291883246701,47.70891643342663,47.71491403438625,47.720911635345864,47.72690923630548,47.73290683726509,47.73890443822471,47.744902039184325,47.75089964014394,47.75689724110356,47.762894842063176,47.76889244302279,47.77489004398241,47.78088764494202,47.78688524590164,47.792882846861254,47.79888044782087,47.80487804878049,47.810875649740105,47.81687325069972,47.82287085165934,47.828868452618956,47.834866053578565,47.84086365453818,47.8468612554978,47.852858856457416,47.85885645741703,47.86485405837665,47.87085165933627,47.876849260295884,47.882846861255494,47.88884446221511,47.89484206317473,47.900839664134345,47.90683726509396,47.91283486605358,47.918832467013196,47.92483006797281,47.93082766893243,47.93682526989204,47.94282287085166,47.948820471811274,47.95481807277089,47.96081567373051,47.966813274690125,47.97281087564974,47.97880847660936,47.98480607756897,47.990803678528586,47.9968012794882,48.00279888044782,48.00879648140744,48.014794082367054,48.02079168332667,48.02678928428629,48.032786885245905,48.038784486205515,48.04478208716513,48.05077968812475,48.056777289084366,48.06277489004398,48.0687724910036,48.07477009196322,48.080767692922834,48.08676529388244,48.09276289484206,48.09876049580168,48.104758096761294,48.11075569772091,48.11675329868053,48.122750899640145,48.12874850059976,48.13474610155938,48.14074370251899,48.146741303478606,48.15273890443822,48.15873650539784,48.16473410635746,48.170731707317074,48.17672930827669,48.18272690923631,48.188724510195925,48.194722111155535,48.20071971211515,48.20671731307477,48.212714914034386,48.218712514994,48.22471011595362,48.23070771691324,48.236705317872854,48.242702918832464,48.24870051979208,48.2546981207517,48.260695721711315,48.26669332267093,48.27269092363055,48.278688524590166,48.28468612554978,48.2906837265094,48.29668132746901,48.30267892842863,48.308676529388244,48.31467413034786,48.32067173130748,48.326669332267095,48.33266693322671,48.33866453418633,48.34466213514594,48.350659736105555,48.35665733706517,48.36265493802479,48.368652538984406,48.37465013994402,48.38064774090364,48.38664534186326,48.392642942822874,48.398640543782484,48.4046381447421,48.41063574570172,48.416633346661335,48.42263094762095,48.42862854858057,48.434626149540186,48.4406237504998,48.44662135145941,48.45261895241903,48.45861655337865,48.464614154338264,48.47061175529788,48.4766093562575,48.482606957217115,48.48860455817673,48.49460215913635,48.50059976009596,48.506597361055576,48.51259496201519,48.51859256297481,48.52459016393443,48.530587764894044,48.53658536585366,48.54258296681328,48.54858056777289,48.554578168732505,48.56057576969212,48.56657337065174,48.572570971611356,48.57856857257097,48.58456617353059,48.59056377449021,48.596561375449824,48.60255897640943,48.60855657736905,48.61455417832867,48.620551779288284,48.6265493802479,48.63254698120752,48.638544582167135,48.64454218312675,48.65053978408636,48.65653738504598,48.662534986005596,48.66853258696521,48.67453018792483,48.68052778888445,48.686525389844064,48.69252299080368,48.6985205917633,48.70451819272291,48.710515793682525,48.71651339464214,48.72251099560176,48.728508596561376,48.73450619752099,48.74050379848061,48.74650139944023,48.75249900039984,48.758496601359454,48.76449420231907,48.77049180327869,48.776489404238305,48.78248700519792,48.78848460615754,48.794482207117156,48.80047980807677,48.80647740903638,48.812475009996,48.81847261095562,48.824470211915234,48.83046781287485,48.83646541383447,48.842463014794085,48.8484606157537,48.85445821671331,48.86045581767293,48.866453418632545,48.87245101959216,48.87844862055178,48.884446221511396,48.89044382247101,48.89644142343063,48.90243902439025,48.90843662534986,48.914434226309474,48.92043182726909,48.92642942822871,48.932427029188325,48.93842463014794,48.94442223110756,48.950419832067176,48.956417433026786,48.9624150339864,48.96841263494602,48.97441023590564,48.980407836865254,48.98640543782487,48.99240303878449,48.998400639744105,49.00439824070372,49.01039584166333,49.01639344262295,49.022391043582566,49.02838864454218,49.0343862455018,49.04038384646142,49.046381447421034,49.05237904838065,49.05837664934026,49.06437425029988,49.070371851259495,49.07636945221911,49.08236705317873,49.088364654138346,49.09436225509796,49.10035985605758,49.1063574570172,49.11235505797681,49.11835265893642,49.12435025989604,49.13034786085566,49.136345461815274,49.14234306277489,49.14834066373451,49.154338264694125,49.160335865653735,49.16633346661335,49.17233106757297,49.178328668532586,49.1843262694922,49.19032387045182,49.19632147141144,49.202319072371054,49.20831667333067,49.21431427429028,49.2203118752499,49.226309476209515,49.23230707716913,49.23830467812875,49.244302279088366,49.25029988004798,49.2562974810076,49.26229508196721,49.26829268292683,49.274290283886444,49.28028788484606,49.28628548580568,49.292283086765295,49.29828068772491,49.30427828868453,49.310275889644146,49.316273490603756,49.32227109156337,49.32826869252299,49.33426629348261,49.340263894442224,49.34626149540184,49.35225909636146,49.358256697321075,49.364254298280684,49.3702518992403,49.37624950019992,49.382247101159535,49.38824470211915,49.39424230307877,49.400239904038386,49.406237504998,49.41223510595762,49.41823270691723,49.42423030787685,49.430227908836464,49.43622550979608,49.4422231107557,49.448220711715315,49.45421831267493,49.46021591363455,49.46621351459416,49.472211115553776,49.47820871651339,49.48420631747301,49.49020391843263,49.496201519392244,49.50219912035186,49.50819672131148,49.514194322271095,49.520191923230705,49.52618952419032,49.53218712514994,49.538184726109556,49.54418232706917,49.55017992802879,49.55617752898841,49.562175129948024,49.568172730907634,49.57417033186725,49.58016793282687,49.586165533786485,49.5921631347461,49.59816073570572,49.604158336665336,49.61015593762495,49.61615353858457,49.62215113954418,49.628148740503796,49.63414634146341,49.64014394242303,49.64614154338265,49.652139144342264,49.65813674530188,49.6641343462615,49.67013194722111,49.676129548180725,49.68212714914034,49.68812475009996,49.694122351059576,49.70011995201919,49.70611755297881,49.71211515393843,49.718112754898044,49.724110355857654,49.73010795681727,49.73610555777689,49.742103158736505,49.74810075969612,49.75409836065574,49.760095961615356,49.76609356257497,49.77209116353458,49.7780887644942,49.78408636545382,49.790083966413434,49.79608156737305,49.80207916833267,49.808076769292285,49.8140743702519,49.82007197121152,49.82606957217113,49.832067173130746,49.83806477409036,49.84406237504998,49.8500599760096,49.856057576969214,49.86205517792883,49.86805277888845,49.87405037984806,49.880047980807674,49.88604558176729,49.89204318272691,49.898040783686525,49.90403838464614,49.91003598560576,49.916033586565376,49.92203118752499,49.9280287884846,49.93402638944422,49.94002399040384,49.946021591363454,49.95201919232307,49.95801679328269,49.964014394242305,49.97001199520192,49.97600959616153,49.98200719712115,49.988004798080766,49.99400239904038,50.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/medium_positive.json new file mode 100644 index 000000000000..580e9436f818 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/medium_positive.json @@ -0,0 +1 @@ +{"expected":[0.0401564311281942,0.03999322141321441,0.039830709156084096,0.03966889116147012,0.03950776425011759,0.0393473252587586,0.03918757104002184,0.03902849846234258,0.03887010440987331,0.038712385782394915,0.03855533949522858,0.038398962479148056,0.03824325168029267,0.038088204060080705,0.037933816595123564,0.03778008627714036,0.03762701011287299,0.03747458512400203,0.037322808347062676,0.03717167683336186,0.037021187648895296,0.03687133787426555,0.036722124604600226,0.03657354494947102,0.03642559603281298,0.0362782749928446,0.03613157898198809,0.03598550516679051,0.03584005072784503,0.035695212859713076,0.03555098877084654,0.03540737568351097,0.03526437083370885,0.035121971471103484,0.03498017485894352,0.03483897827398769,0.034698379006430316,0.03455837435982687,0.03441896165102057,0.03428013821006886,0.03414190138017084,0.03400424851759476,0.03386717699160626,0.03373068418439684,0.033594767491013,0.03345942431928565,0.03332465208975996,0.03319044823562577,0.033056810202648425,0.03292373544909984,0.03279122144569021,0.032659265675500204,0.03252786563391319,0.03239701882854841,0.03226672277919411,0.032136975017741376,0.03200777308811829,0.03187911454622441,0.031750996959865815,0.03162341790869044,0.03149637498412382,0.03136986578930523,0.031243887939024346,0.031118439059658047,0.03099351678910785,0.03086911877673755,0.030745242683311393,0.030621886180932534,0.030499046952981834,0.03037672269405712,0.030254911109912897,0.03013360991740009,0.030012816844406633,0.029892529629797975,0.029772746023358256,0.029653463785731703,0.029534680688364335,0.029416394513446242,0.02929860305385391,0.029181304113093186,0.02906449550524239,0.02894817505489583,0.02883234059710768,0.028716989977336224,0.028602121051388346,0.028487731685364465,0.028373819755603595,0.028260383148629154,0.028147419761094524,0.028034927499729488,0.027922904281286628,0.027811348032488154,0.027700256689973127,0.027589628200244843,0.027479460519618762,0.027369751614170403,0.02726049945968396,0.027151702041600896,0.027043357354969003,0.0269354634043917,0.026828018203977757,0.026721019777291057,0.026614466157301037,0.026508355386333015,0.026402685516019125,0.026297454607249415,0.026192660730123146,0.02608830196390062,0.02598437639695509,0.025880882126724968,0.02577781725966643,0.025675179911206242,0.025572968205694758,0.025471180276359442,0.025369814265258354,0.025268868323234227,0.02516834060986851,0.02506822929343599,0.024968532550859325,0.02486924856766419,0.02477037553793452,0.02467191166426793,0.02457385515773158,0.024476204237818176,0.02437895713240227,0.02428211207769684,0.02418566731821001,0.02408962110670221,0.02399397170414341,0.023898717379670628,0.023803856410545852,0.023709387082113988,0.02361530768776116,0.02352161652887329,0.023428311914794792,0.02333539216278761,0.023242855597990487,0.023150700553378412,0.02305892536972232,0.022967528395549105,0.02287650798710171,0.0227858625082996,0.022695590330699327,0.02260568983345549,0.022516159403281708,0.022426997434412017,0.022338202328562318,0.022249772494892222,0.02216170634996694,0.02207400231771949,0.021986658829413138,0.021899674323603943,0.0218130472461037,0.02172677604994281,0.02164085919533377,0.021555295149634373,0.02147008238731162,0.021385219389905404,0.02130070464599274,0.02121653665115195,0.021132713907927227,0.021049234925793227,0.020966098221120097,0.020883302317138464,0.02080084574390473,0.0207187270382666,0.020636944743828715,0.020555497410918555,0.02047438359655248,0.02039360186440202,0.020313150784760283,0.0202330289345086,0.020153234897083348,0.020073767262442983,0.01999462462703518,0.019915805593764282,0.019837308771958797,0.01975913277733914,0.019681276231985633,0.019603737764306503,0.019526516009006283,0.01944960960705408,0.019373017205652453,0.01929673745820601,0.01922076902429054,0.019145110569622047,0.01906976076602617,0.018994718291407635,0.018919981829719937,0.018845550070935142,0.01877142171101394,0.018697595451875788,0.018624070001369224,0.018550844073242437,0.018477916387113796,0.018405285668442854,0.018332950648501135,0.018260910064343463,0.01818916265877912,0.0181177071803434,0.01804654238326918,0.01797566702745873,0.017905079878455615,0.017834779707416804,0.017764765291084856,0.017695035411760426,0.017625588857274676,0.01755642442096202,0.01748754090163301,0.017418937103547246,0.017350611836386604,0.017282563915228408,0.017214792160519004,0.0171472953980472,0.017080072458918065,0.0170131221795268,0.016946443401532684,0.01688003497183326,0.01681389574253864,0.016748024570945888,0.016682420319513634,0.016617081855836772,0.016552008052621213,0.016487197787659027,0.016422649943803408,0.01635836340894401,0.016294337075982296,0.016230569842807054,0.01616706061227008,0.016103808292161875,0.016040811795187654,0.01597807003894336,0.015915581945891745,0.0158533464433388,0.015791362463410074,0.01572962894302732,0.015668144823885087,0.015606909052427554,0.0155459205798255,0.015485178361953266,0.01542468135936604,0.015364428537277043,0.01530441886553504,0.015244651318601797,0.015185124875529836,0.015125838519940099,0.015066791239999955,0.015007982028401123,0.014949409882337889,0.01489107380348528,0.01483297279797747,0.014775105876386264,0.014717472053699637,0.014660070349300535,0.014602899786945612,0.0145459593947442,0.014489248205137343,0.014432765254876991,0.014376509585005182,0.014320480240833532,0.014264676271922606,0.0142090967320616,0.014153740679247998,0.014098607175667383,0.01404369528767337,0.013989004085767621,0.013934532644579969,0.013880280042848636,0.013826245363400602,0.013772427693131998,0.013718826122988704,0.013665439747946961,0.013612267666994074,0.013559308983109352,0.013506562803245001,0.01345402823830714,0.013401704403137038,0.01334959041649226,0.013297685401028062,0.01324598848327886,0.013194498793639686,0.013143215466347908,0.013092137639464877,0.01304126445485784,0.012990595058181786,0.012940128598861511,0.012889864230073678,0.012839801108729076,0.01278993839545486,0.012740275254576973,0.012690810854102582,0.012641544365702721,0.012592474964694848,0.012543601830025671,0.012494924144253976,0.012446441093533517,0.012398151867596059,0.012350055659734467,0.012302151666785912,0.012254439089115148,0.012206917130597848,0.012159584998604091,0.012112441903981837,0.012065487061040662,0.012018719687535323,0.011972139004649622,0.011925744236980262,0.011879534612520838,0.01183350936264581,0.011787667722094632,0.011742008928956018,0.011696532224652141,0.011651236853923046,0.011606122064811047,0.011561187108645328,0.011516431240026452,0.011471853716811087,0.01142745380009676,0.01138323075420671,0.011339183846674754,0.011295312348230323,0.011251615532783487,0.011208092677410166,0.011164743062337272,0.011121565970928017,0.011078560689667356,0.011035726508147329,0.010993062719052637,0.01095056861814621,0.0109082435042549,0.010866086679255193,0.01082409744805901,0.010782275118599596,0.010740619001817506,0.01069912841164658,0.010657802665000068,0.010616641081756749,0.010575642984747266,0.010534807699740315,0.010494134555429076,0.010453622883417675,0.010413272018207638,0.010373081297184516,0.010333050060604497,0.010293177651581168,0.010253463416072254,0.010213906702866456,0.010174506863570392,0.010135263252595606,0.010096175227145527,0.010057242147202643,0.010018463375515659,0.009979838277586747,0.009941366221658816,0.009903046578702899,0.00986487872240561,0.009826862029156577,0.009788995878036031,0.009751279650802424,0.00971371273188012,0.009676294508347096,0.009639024369922778,0.009601901708955866,0.009564925920412333,0.009528096401863318,0.009491412553473215,0.009454873777987767,0.00941847948072227,0.009382229069549693,0.009346121954889043,0.009310157549693705,0.009274335269439776,0.009238654532114553,0.009203114758205053,0.00916771537068658,0.009132455795011318,0.009097335459097038,0.009062353793315823,0.009027510230482884,0.008992804205845367,0.008958235157071288,0.008923802524238463,0.008889505749823568,0.008855344278691142,0.008821317558082745,0.008787425037606147,0.008753666169224515,0.0087200404072457,0.008686547208311593,0.008653186031387516,0.00861995633775162,0.008586857590984405,0.008553889256958241,0.008521050803827005,0.008488341702015663,0.008455761424209994,0.008423309445346364,0.008390985242601463,0.008358788295382195,0.008326718085315543,0.008294774096238553,0.008262955814188285,0.008231262727391882,0.00819969432625664,0.008168250103360183,0.008136929553440612,0.008105732173386764,0.008074657462228482,0.008043704921126969,0.008012874053365135,0.007982164364338032,0.007951575361543355,0.00792110655457191,0.00789075745509821,0.007860527576871073,0.0078304164357043,0.00780042354946734,0.007770548438076053,0.007740790623483499,0.0077111496296708,0.0076816249826379725,0.007652216210394879,0.007622922842952183,0.007593744412312397,0.007564680452460892,0.007535730499357002,0.0075068940909252145,0.007478170767046284,0.007449560069548515,0.0074210615421989885,0.007392674730694928,0.007364399182654992,0.007336234447610708,0.007308180076997889,0.007280235624148142,0.0072524006442803495,0.007224674694492247,0.007197057333752015,0.007169548122889945,0.00714214662459009,0.007114852403381987,0.007087665025632449,0.0070605840595373325,0.007033609075113386,0.007006739644190126,0.006979975340401776,0.006953315739179196,0.006926760417741882,0.0069003089550900105,0.00687396093199651,0.006847715930999149,0.006821573536392714,0.006795533334221155,0.006769594912269857,0.006743757860057853,0.006718021768830137,0.006692386231550015,0.0066668508428914435,0.00664141519923145,0.006616078898642566,0.006590841540885334,0.006565702727400779,0.006540662061302982,0.00651571914737165,0.006490873592044775,0.006466125003411233,0.006441472991203508,0.006416917166790399,0.006392457143169809,0.006368092534961502,0.006343822958399939,0.006319648031327179,0.006295567373185702,0.0062715806050114035,0.006247687349426518,0.006223887230632644,0.006200179874403733,0.006176564908079192,0.006153041960556957,0.006129610662286622,0.006106270645262604,0.0060830215430173265,0.0060598629906144464,0.006036794624642123,0.006013816083206288,0.005990927005923968,0.005968127033916646,0.005945415809803639,0.005922792977695491,0.005900258183187448,0.005877811073352931,0.005855451296737012,0.005833178503349974,0.005810992344660873,0.005788892473591143,0.00576687854450821,0.005744950213219144,0.005723107136964358,0.005701348974411336,0.005679675385648343,0.005658086032178231,0.005636580576912233,0.005615158684163789,0.005593820019642419,0.005572564250447598,0.005551391045062702,0.005530300073348927,0.005509291006539276,0.005488363517232566,0.005467517279387466,0.0054467519683165325,0.00542606726068032,0.0054054628344814785,0.0053849383690589316,0.005364493545081983,0.005344128044544576,0.00532384155075949,0.005303633748352579,0.00528350432325707,0.005263452962707854,0.005243479355235836,0.005223583190662258,0.005203764160093119,0.005184021955913546,0.005164356271782271,0.005144766802626059,0.005125253244634199,0.005105815295253027,0.005086452653180474,0.005067165018360591,0.0050479520919781634,0.005028813576453335,0.005009749175436214,0.004990758593801552,0.00497184153764344,0.004952997714270011,0.004934226832198167,0.00491552860114836,0.004896902732039351,0.004878348936983054,0.004859866929279329,0.004841456423410872,0.0048231171350380615,0.0048048487809939045,0.004786651079278926,0.004768523749056127,0.004750466510645994,0.0047324790855214375,0.004714561196302857,0.004696712566753154,0.00467893292177284,0.004661221987395065,0.004643579490780783,0.004626005160213842,0.004608498725096182,0.004591059915942971,0.004573688464377831,0.004556384103128064,0.004539146566019865,0.004521975587973621,0.004504870904999175,0.004487832254191156,0.004470859373724286,0.004453952002848746,0.004437109881885543,0.004420332752221918,0.004403620356306737,0.004386972437645942,0.004370388740798001,0.004353869011369402,0.004337412996010126,0.004321020442409179,0.004304691099290139,0.004288424716406698,0.0042722210445382495,0.004256079835485489,0.004240000842066039,0.004223983818110077,0.004208028518456002,0.004192134698946109,0.004176302116422299,0.004160530528721782,0.004144819694672826,0.004129169374090505,0.004113579327772495,0.004098049317494838,0.00408257910600778,0.004067168457031608,0.004051817135252482,0.004036524906318319,0.00402129153683468,0.00400611679436069,0.003991000447404946,0.00397594226542147,0.0039609420188056795,0.003945999478890366,0.0039311144179416885,0.003916286609155201,0.003901515826651877,0.0038868018454741855,0.003872144441582138,0.003857543391849392,0.0038429984740593597,0.003828509466901327,0.003814076149966594,0.0037996983037446395,0.003785375709619307,0.003771108149864978,0.0037568954076427985,0.0037427372669969006,0.0037286335128506637,0.003714583931002948,0.0037005883081243987,0.003686646431753726,0.0036727580902940395,0.0036589230730091457,0.0036451411700199167,0.0036314121723006474,0.0036177358716754323,0.0036041120608145552,0.0035905405332309036,0.003577021083276406,0.0035635535061384564,0.00355013759783638,0.0035367731552179106,0.0035234599759556896,0.0035101978585437496,0.0034969866022940502,0.003483826007333015,0.0034707158745980898,0.003457656005834294,0.0034446462035908143,0.0034316862712176132,0.0034187760128620223,0.003405915233465382,0.003393103738759689,0.0033803413352642515,0.0033676278302823665,0.003354963031897993,0.0033423467489724773,0.0033297787911412643,0.0033172589688106203,0.0033047870931543896,0.0032923629761107535,0.0032799864303790153,0.003267657269416374,0.0032553753074347374,0.003243140359397552,0.003230952241016618,0.003218810768748948,0.0032067157597936184,0.0031946670320886607,0.003182664404307941,0.0031707076958580544,0.0031587967268752524,0.003146931318222378,0.0031351112914858002,0.0031233364689723666,0.003111606673706388,0.0030999217294266188,0.003088281460583246,0.003076685692334909,0.003065134250545722,0.0030536269617823125,0.0030421636533108642,0.0030307441530941876,0.003019368289788805,0.0030080358927420158,0.0029967467919890228,0.002985500818250029,0.0029742978029273833,0.0029631375781027096,0.0029520199765340565,0.0029409448316530685,0.002929911977562174,0.0029189212490317563,0.0029079724814973654,0.0028970655110569436,0.0028862001744680357,0.002875376309145036,0.002864593753156444,0.0028538523452221274,0.002843151924710593,0.0028324923316362747,0.0028218734066568405,0.0028112949910705036,0.002800756926813336,0.0027902590564566135,0.0027798012232041563,0.002769383270889701,0.002759005043974251,0.002748666387543472,0.0027383671473050868,0.0027281071695862665,0.002717886301331063,0.0027077043900978212,0.002697561284056638,0.0026874568319867845,0.0026773908832741938,0.0026673632879089123,0.002657373896482603,0.0026474225601860234,0.0026375091308065346,0.0026276334607256233,0.002617795402916424,0.002607994810941263,0.0025982315389491877,0.0025885054416735576,0.002578816374429587,0.002569164193111937,0.0025595487541923024,0.0025499699147170257,0.002540427532304689,0.0025309214651437536,0.00252145157199018,0.002512017712165088,0.0025026197455523913,0.002493257532596468,0.0024839309342998476,0.002474639812220869,0.0024653840284714003,0.002456163445714522,0.002446977927162265,0.002437827336573305,0.0024287115382507205,0.0024196303970397217,0.002410583778325422,0.00240157154803058,0.002392593572613382,0.002383649719065227,0.0023747398549085223,0.0023658638481944723,0.0023570215675008986,0.002348212881930068,0.002339437661106507,0.0023306957751748525,0.0023219870947976946,0.0023133114911534484,0.002304668835934202,0.002296059001343607,0.002287481860094761,0.0022789372854081073,0.002270425151009327,0.0022619453311272684,0.0022534977004918543,0.0022450821343320305,0.0022366985083736896,0.002228346698837628,0.0022200265824375083,0.002211738036377817,0.0022034809383518466,0.002195255166539677,0.0021870605996061753,0.002178897116698987,0.002170764597446555,0.002162662921956132,0.0021545919708118202,0.002146551625072593,0.002138541766270346,0.0021305622764079494,0.002122613037957316,0.0021146939338574566,0.00210680484751257,0.002098945662790129,0.0020911162640189656,0.002083316535987382,0.002075546363941259,0.0020678056335821783,0.0020600942310655427,0.002052412042998717,0.0020447589564391677,0.002037134858892619,0.0020295396383112055,0.002021973183091644,0.002014435382073406,0.002006926124536902,0.0019994453002016724,0.001991992799224579,0.001984568512198024,0.0019771723301481503,0.0019698041445330716,0.001962463847241096,0.0019551513305889686,0.0019478664873201087,0.0019406092106028635,0.001933379394028772,0.0019261769316108257,0.0019190017177817447,0.0019118536473922579,0.0019047326157093927,0.0018976385184147756,0.0018905712516029238,0.0018835307117795652,0.0018765167958599569,0.0018695294011672025,0.0018625684254305903,0.0018556337667839286,0.0018487253237638997,0.0018418429953084012,0.001834986680754916,0.0018281562798388741,0.0018213516926920326,0.001814572819840851,0.0018078195622048827,0.001801091821095165,0.0017943894982126339,0.0017877124956465153,0.0017810607158727525,0.0017744340617524268,0.001767832436530181,0.0017612557438326589,0.0017547038876669465,0.001748176772419025,0.0017416743028522202,0.0017351963841056636,0.001728742921692767,0.001722313821499698,0.0017159089897838531,0.0017095283331723513,0.0017031717586605292,0.0016968391736104425,0.001690530485749366,0.0016842456031683159,0.0016779844343205658,0.0016717468880201708,0.0016655328734405048,0.00165934230011279,0.0016531750779246554,0.0016470311171186752,0.0016409103282909298,0.0016348126223895696,0.00162873791071339,0.0016226861049103932,0.0016166571169763807,0.001610650859253535,0.0016046672444290202,0.0015987061855335693,0.0015927675959400978,0.0015868513893623174,0.001580957479853342,0.0015750857818043196,0.0015692362099430565,0.0015634086793326586,0.00155760310537016,0.0015518194037851775,0.0015460574906385567,0.001540317282321039,0.0015345986955519124,0.001528901647377686,0.001523226055170763,0.0015175718366281263,0.0015119389097700117,0.001506327192938609,0.0015007366047967573,0.0014951670643266403,0.0014896184908285007,0.001484090803919349,0.0014785839235316857,0.0014730977699122195,0.0014676322636205993,0.0014621873255281483,0.0014567628768166066,0.0014513588389768696,0.0014459751338077407,0.0014406116834146945,0.0014352684102086238,0.0014299452369046157,0.0014246420865207173,0.0014193588823767198,0.0014140955480929282,0.0014088520075889563,0.0014036281850825147,0.0013984240050882132,0.001393239392416353,0.0013880742721717387,0.001382928569752491,0.0013778022108488668,0.0013726951214420673,0.0013676072278030796,0.0013625384564915023,0.0013574887343543792,0.001352457988525046,0.0013474461464219698,0.0013424531357476095,0.0013374788844872627,0.0013325233209079315,0.0013275863735571817,0.001322667971262024,0.0013177680431277782,0.0013128865185369574,0.001308023327148149,0.001303178398894913,0.0012983516639846608,0.0012935430528975642,0.0012887524963854583,0.0012839799254707397,0.0012792252714452878,0.0012744884658693761,0.0012697694405705974,0.0012650681276427844,0.0012603844594449424,0.00125571836860018,0.0012510697879946587,0.00124643865077652,0.0012418248903548488,0.001237228440398611,0.0012326492348356244,0.0012280872078515072,0.0012235422938886493,0.0012190144276451836,0.0012145035440739521,0.0012100095783814917,0.00120553246602701,0.0012010721427213782,0.0011966285444261165,0.0011922016073523916,0.0011877912679600134,0.001183397462956444,0.0011790201292957957,0.0011746592041778523,0.0011703146250470757,0.001165986329591635,0.0011616742557424209,0.001157378341672078,0.0011530985257940407,0.0011488347467615606,0.0011445869434667522,0.0011403550550396328,0.0011361390208471773,0.0011319387804923616,0.0011277542738132224,0.0011235854408819163,0.0011194322220037852,0.00111529455771642,0.0011111723887887342,0.0011070656562200362,0.0011029743012391155,0.0010988982653033171,0.00109483749009763,0.0010907919175337825,0.0010867614897493304,0.0010827461491067579,0.0010787458381925764,0.0010747604998164347,0.001070790077010224,0.0010668345130271906,0.0010628937513410526,0.0010589677356451245,0.0010550564098514323,0.0010511597180898468,0.0010472776047072126,0.0010434100142664856,0.0010395568915458652,0.0010357181815379385,0.0010318938294488276,0.001028083780697338,0.0010242879809141052,0.001020506375940756,0.0010167389118290679,0.0010129855348401295,0.0010092461914435037,0.0010055208283164024,0.0010018093923428594,0.0009981118306129023,0.0009944280904217347,0.0009907581192689192,0.0009871018648575666,0.0009834592750935201,0.000979830298084552,0.0009762148821395603,0.0009726129757677676,0.0009690245276779235,0.000965449486777512,0.0009618878021719622,0.0009583394231638588,0.0009548042992521585,0.0009512823801314113,0.0009477736156909821,0.0009442779560142749,0.0009407953513779632,0.0009373257522512221,0.0009338691092949643,0.0009304253733610762,0.0009269944954916592,0.0009235764269182804,0.0009201711190612109,0.000916778523528684,0.0009133985921161445,0.0009100312768055102,0.0009066765297644277,0.0009033343033455367,0.0009000045500857361,0.0008966872227054561,0.0008933822741079243,0.000890089657378445,0.000886809325783675,0.0008835412327709087,0.0008802853319673561,0.0008770415771794326,0.0008738099223920514,0.0008705903217679097,0.0008673827296467903,0.0008641871005448562,0.000861003389153956,0.0008578315503409228,0.0008546715391468855,0.0008515233107865758,0.0008483868206476436,0.0008452620242899705,0.0008421488774449876,0.0008390473360149984,0.0008359573560725029,0.0008328788938595223,0.000829811905786927,0.0008267563484337749,0.0008237121785466398,0.0008206793530389516,0.0008176578289903352,0.0008146475636459579,0.0008116485144158685,0.0008086606388743496,0.0008056838947592669,0.0008027182399714269,0.0007997636325739256,0.0007968200307915128,0.0007938873930099548,0.0007909656777753929,0.0007880548437937141,0.0007851548499299187,0.0007822656552074953,0.0007793872188077904,0.0007765195000693874,0.0007736624584874873,0.0007708160537132898,0.0007679802455533766,0.0007651549939690997,0.0007623402590759702,0.000759536001143053,0.000756742180592356,0.0007539587579982305,0.0007511856940867715,0.0007484229497352177,0.0007456704859713544,0.0007429282639729223,0.000740196245067028,0.000737474390729552,0.0007347626625845645,0.0007320610224037399,0.0007293694321057797,0.0007266878537558282,0.0007240162495648984,0.0007213545818892986,0.0007187028132300585,0.0007160609062323609,0.0007134288236849718,0.0007108065285196805,0.0007081939838107309,0.0007055911527742646,0.0007029979987677612,0.0007004144852894842,0.0006978405759779254,0.0006952762346112533,0.0006927214251067642,0.0006901761115203388,0.000687640258045891,0.0006851138290148292,0.0006825967888955154,0.0006800891022927283,0.000677590733947124,0.0006751016487347047,0.0006726218116662868,0.00067015118788697,0.000667689742675612,0.0006652374414442997,0.000662794249737832,0.0006603601332331924,0.0006579350577390334,0.0006555189891951597,0.0006531118936720139,0.0006507137373701606,0.00064832448661978,0.0006459441078801562,0.0006435725677391733,0.0006412098329128099,0.0006388558702446342,0.0006365106467053094,0.0006341741293920896,0.0006318462855283273,0.0006295270824629762,0.0006272164876701019,0.0006249144687483897,0.0006226209934206559,0.0006203360295333618,0.0006180595450561318,0.000615791508081267,0.0006135318868232657,0.0006112806496183466,0.0006090377649239724,0.0006068032013183709,0.0006045769275000662,0.0006023589122874076,0.0006001491246180986,0.0005979475335487304,0.0005957541082543171,0.0005935688180278336,0.0005913916322797506,0.0005892225205375785,0.0005870614524454064,0.0005849083977634508,0.0005827633263675957,0.0005806262082489447,0.0005784970135133676,0.0005763757123810547,0.0005742622751860669,0.0005721566723758924,0.0005700588745110039,0.000567968852264415,0.0005658865764212425,0.0005638120178782663,0.000561745147643497,0.0005596859368357372,0.0005576343566841504,0.0005555903785278306,0.0005535539738153735,0.000551525114104447,0.0005495037710613675,0.0005474899164606734,0.0005454835221847063,0.0005434845602231865,0.0005414930026727957,0.0005395088217367614,0.0005375319897244377,0.0005355624790508936,0.0005336002622364995,0.0005316453119065194,0.0005296976007906977,0.0005277571017228538,0.0005258237876404774,0.0005238976315843231,0.0005219786066980075,0.000520066686227609,0.0005181618435212685,0.0005162640520287926,0.0005143732853012547,0.0005124895169906034,0.000510612720849269,0.00050874287072977,0.0005068799405843261,0.0005050239044644676,0.0005031747365206518,0.000501332411001874,0.000499496902255287,0.0004976681847258161,0.0004958462329557831,0.0004940310215845222,0.0004922225253480058,0.0004904207190784661,0.0004886255777040248,0.00048683707624831436,0.0004850551898301105,0.0004832798936629619,0.0004815111630548201,0.0004797489734076728,0.00047799330021717855,0.00047624411907230417,0.00047450140565495917,0.00047276513573963616,0.0004710352851930504,0.00046931182997378304,0.0004675947461319219,0.0004658840098087071,0.0004641795972361765,0.00046248148473681475,0.0004607896487231993,0.00045910406569765137,0.00045742471225188996,0.0004557515650666811,0.00045408460091149374,0.0004524237966441556,0.00045076912921051117,0.0004491205756440773,0.0004474781130657054,0.00044584171868324105,0.0004442113697911888,0.000442587043770373,0.00044096871808760383,0.00043935637029534627,0.0004377499780313839,0.0004361495190184909,0.00043455497106410063,0.00043296631205998063,0.00043138351998190115,0.0004298065728893126,0.0004282354489250198,0.00042667012631486095,0.0004251105833673828,0.0004235567984735225,0.0004220087501062872,0.0004204664168204378,0.0004189297772521691,0.0004173988101187975,0.0004158734942184453,0.00041435380842972844,0.00041283973171144347,0.00041133124310225856,0.0004098283217204045,0.00040833094676336507,0.0004068390975075713,0.000405352753308096,0.0004038718935983497,0.0004023964978897764,0.0004009265457715526,0.0003994620169102856,0.0003980028910497164,0.0003965491480104177,0.0003951007676894995,0.0003936577300603125,0.00039222001517215236,0.00039078760314996717,0.00038936047419406395,0.0003879386085798191,0.0003865219866573859,0.0003851105888514069,0.00038370439566072593,0.0003823033876581011,0.00038090754548991977,0.00037951684987591253,0.00037813128160887167,0.00037675082155436867,0.0003753754506504718,0.00037400514990746676,0.00037263990040757995,0.00037127968330469643,0.00036992447982408665,0.00036857427126212966,0.0003672290389860391,0.000365888764433589,0.00036455342911284204,0.0003632230146018774,0.00036189750254852273,0.000360576874670083,0.0003592611127530726,0.00035795019865294885,0.00035664411429384716,0.00035534284166831396,0.00035404636283704367,0.0003527546599286174,0.0003514677151392392,0.0003501855107324759,0.0003489080290389974,0.0003476352524563197,0.00034636716344854396,0.0003451037445461027,0.00034384497834550237,0.0003425908475090705,0.0003413413347647005,0.00034009642290559977,0.0003388560947900372,0.0003376203333410953,0.00033638912154641663,0.0003351624424579578,0.0003339402791917418,0.00033272261492760957,0.0003315094329089762,0.00033030071644258435,0.0003290964488982631,0.0003278966137086818,0.0003267011943691106,0.0003255101744371791,0.00032432353753263587,0.00032314126733710947,0.00032196334759387077,0.0003207897621075955,0.00031962049474412865,0.00031845552943024816,0.00031729485015343097,0.0003161384409616206,0.00031498628596299304,0.000313838369325726,0.00031269467527776786,0.00031155518810660964,0.00031041989215905256,0.00030928877184098323,0.0003081618116171454,0.0003070389960109142,0.00030592030960406965,0.00030480573703657414,0.0003036952630063468,0.00030258887226904276,0.00030148654963783054,0.00030038827998317056,0.0002992940482325963,0.0002982038393704942,0.000297117638437886,0.0002960354305322102,0.0002949572008071073,0.00029388293447220256,0.00029281261679289127,0.00029174623309012485,0.00029068376874019874,0.000289625209174538,0.0002885705398794873,0.000287519746396099,0.0002864728143199251,0.0002854297293008063,0.00028439047704266425,0.00028335504330329514,0.00028232341389416174,0.00028129557468018835,0.00028027151157955505,0.00027925121056349535,0.00027823465765609016,0.0002772218389340672,0.00027621274052659845,0.0002752073486150994,0.0002742056494330285,0.00027320762926568755,0.0002722132744500236,0.00027122257137443133,0.0002702355064785549,0.0002692520662530918,0.00026827223723959896,0.00026729600603029517,0.0002663233592678695,0.0002653542836452864,0.0002643887659055945,0.00026342679284173344,0.00026246835129634403,0.0002615134281615772,0.00026056201037890535,0.00025961408493893254,0.0002586696388812068,0.0002577286592940334,0.0002567911333142877,0.00025585704812722905,0.00025492639096631595,0.00025399914911302263,0.00025307530989665376,0.00025215486069416225,0.0002512377889299666,0.000250324082075771,0.00024941372765038193,0.00024850671321952983,0.000247603026395689,0.0002467026548378998,0.00024580558625158903,0.00024491180838839377,0.00024402130904598515,0.00024313407606789072,0.000242250097343321,0.0002413693608069935,0.0002404918544389604,0.00023961756626443348,0.00023874648435361285,0.00023787859682151513,0.00023701389182780155,0.0002361523575766079,0.00023529398231637445,0.0002344387543396768,0.000233586661983058,0.0002327376936268593,0.0002318918376950542,0.0002310490826550815,0.00023020941701767884,0.00022937282933671834,0.0002285393082090409,0.00022770884227429368,0.00022688142021476518,0.00022605703075522345,0.00022523566266275362,0.00022441730474659737,0.00022360194585799054,0.00022278957489000413,0.00022198018077738404,0.00022117375249639318,0.00022037027906465174,0.00021956974954098025,0.00021877215302524303,0.0002179774786581903,0.00021718571562130316,0.00021639685313663858,0.0002156108804666744,0.00021482778691415486,0.00021404756182193785,0.0002132701945728412,0.00021249567458949192,0.00021172399133417258,0.00021095513430867153,0.00021018909305413165,0.0002094258571509018,0.00020866541621838522,0.00020790775991489277,0.00020715287793749397,0.0002064007600218694,0.00020565139594216341,0.00020490477551083827,0.00020416088857852816,0.00020341972503389318,0.00020268127480347557,0.00020194552785155433,0.00020121247418000332,0.0002004821038281462,0.0001997544068726153,0.00019902937342720892,0.00019830699364275074,0.00019758725770694787,0.00019687015584425095,0.00019615567831571514,0.00019544381541885985,0.00019473455748753013,0.00019402789489175913,0.0001933238180376304,0.00019262231736714012,0.00019192338335806105,0.00019122700652380637,0.00019053317741329486,0.00018984188661081442,0.00018915312473588914,0.00018846688244314415,0.0001877831504221737,0.0001871019193974067,0.00018642318012797486,0.00018574692340758163,0.00018507314006436975,0.00018440182096079083,0.000183732956993475,0.00018306653909310152,0.0001824025582242688,0.00018174100538536546,0.0001810818716084426,0.0001804251479590861,0.00017977082553628839,0.00017911889547232216,0.0001784693489326138,0.0001778221771156185,0.00017717737125269313,0.0001765349226079724,0.00017589482247824513,0.0001752570621928285,0.00017462163311344602,0.00017398852663410414,0.00017335773418097,0.00017272924721224877,0.00017210305721806284,0.0001714791557203298,0.0001708575342726433,0.00017023818446015152,0.00016962109789943794,0.00016900626623840212,0.00016839368115614147,0.00016778333436283217,0.00016717521759961127,0.00016656932263846056,0.00016596564128208783,0.0001653641653638119,0.00016476488674744557,0.00016416779732718098,0.00016357288902747342,0.00016298015380292752,0.00016238958363818222,0.00016180117054779804,0.00016121490657614257,0.00016063078379727796,0.00016004879431484882,0.00015946893026196984,0.00015889118380111385,0.0001583155471240009,0.000157742012451488,0.0001571705720334577,0.00015660121814870933,0.0001560339431048481,0.000155468739238178,0.000154905598913591,0.00015434451452446055,0.00015378547849253266,0.000153228483267819,0.00015267352132848982,0.00015212058518076737,0.00015156966735881982,0.00015102076042465494,0.00015047385696801636,0.0001499289496062765,0.00014938603098433356,0.00014884509377450649,0.0001483061306764321,0.00014776913441696092,0.00014723409775005498,0.00014670101345668434,0.00014616987434472667,0.0001456406732488633,0.0001451134030304794,0.00014458805657756234,0.00014406462680460156,0.00014354310665248816,0.0001430234890884146,0.00014250576710577668,0.00014198993372407283,0.00014147598198880647,0.00014096390497138749,0.00014045369576903434,0.00013994534750467647,0.0001394388533268572,0.00013893420640963692,0.0001384313999524973,0.0001379304271802439,0.00013743128134291184,0.00013693395571566972,0.00013643844359872512,0.00013594473831722977,0.00013545283322118523,0.0001349627216853501,0.00013447439710914495,0.00013398785291656012,0.00013350308255606294,0.00013302007950050535,0.00013253883724703144,0.0001320593493169861,0.0001315816092558235,0.00013110561063301698,0.0001306313470419666,0.00013015881209991044,0.00012968799944783414,0.00012921890275038083,0.000128751515695763,0.000128285831995672,0.00012782184538519145,0.00012735954962270714,0.00012689893848982024,0.0001264400057912592,0.0001259827453547929,0.00012552715103114368,0.00012507321669390066,0.0001246209362394333,0.0001241703035868066,0.00012372131267769396,0.00012327395747629304,0.00012282823196924054,0.0001223841301655275,0.00012194164609641539,0.00012150077381535146,0.00012106150739788659,0.00012062384094159013,0.00012018776856596827,0.00011975328441238079,0.00011932038264395896,0.00011888905744552352,0.00011845930302350276,0.00011803111360585124,0.00011760448344196926,0.00011717940680262095,0.0001167558779798547,0.00011633389128692271,0.00011591344105820125,0.00011549452164911091,0.00011507712743603741,0.00011466125281625338,0.00011424689220783847,0.00011383404004960184,0.00011342269080100405,0.00011301283894207909,0.0001126044789733573,0.00011219760541578781,0.00011179221281066199,0.00011138829571953707,0.00011098584872415954,0.00011058486642638895,0.00011018534344812307,0.00010978727443122166,0.00010939065403743198,0.00010899547694831354,0.00010860173786516419,0.00010820943150894505,0.0001078185526202073,0.00010742909595901782,0.00010704105630488657,0.00010665442845669295,0.00010626920723261314,0.00010588538747004724,0.00010550296402554813,0.00010512193177474773,0.00010474228561228669,0.00010436402045174225,0.00010398713122555727,0.00010361161288496948,0.00010323746039994031,0.00010286466875908557,0.00010249323296960416,0.00010212314805720893,0.00010175440906605703,0.00010138701105868046,0.00010102094911591727,0.00010065621833684262,0.00010029281383870009,9.993073075683443e-5,9.95699642446221e-5,9.921050947340459e-5,9.885236163242056e-5,9.849551592873887e-5,9.813996758719134e-5,9.778571185030619e-5,9.743274397824208e-5,9.7081059248721e-5,9.673065295696285e-5,9.638152041561995e-5,9.603365695471125e-5,9.568705792155727e-5,9.534171868071526e-5,9.499763461391427e-5,9.46548011199913e-5,9.431321361482638e-5,9.397286753127888e-5,9.363375831912413e-5,9.329588144498942e-5,9.295923239229127e-5,9.262380666117195e-5,9.228959976843768e-5,9.195660724749484e-5,9.162482464828857e-5,9.129424753724068e-5,9.096487149718745e-5,9.063669212731862e-5,9.030970504311567e-5,8.998390587629072e-5,8.965929027472632e-5,8.93358539024139e-5,8.901359243939403e-5,8.869250158169588e-5,8.837257704127766e-5,8.805381454596667e-5,8.773620983939963e-5,8.741975868096438e-5,8.710445684573949e-5,8.679030012443645e-5,8.647728432334069e-5,8.61654052642534e-5,8.585465878443329e-5,8.554504073653878e-5,8.523654698857005e-5,8.492917342381228e-5,8.462291594077742e-5,8.431777045314793e-5,8.401373288971944e-5,8.371079919434466e-5,8.340896532587654e-5,8.310822725811217e-5,8.28085809797376e-5,8.251002249427072e-5,8.221254782000681e-5,8.191615298996273e-5,8.162083405182216e-5,8.13265870678803e-5,8.103340811498946e-5,8.074129328450431e-5,8.045023868222827e-5,8.016024042835857e-5,7.987129465743275e-5,7.958339751827526e-5,7.92965451739436e-5,7.901073380167532e-5,7.872595959283473e-5,7.844221875286063e-5,7.815950750121283e-5,7.787782207132033e-5,7.75971587105287e-5,7.731751368004836e-5,7.703888325490249e-5,7.676126372387545e-5,7.648465138946118e-5,7.620904256781242e-5,7.593443358868906e-5,7.56608207954074e-5,7.538820054478979e-5,7.511656920711375e-5,7.484592316606188e-5,7.457625881867163e-5,7.430757257528581e-5,7.403986085950213e-5,7.377312010812416e-5,7.350734677111189e-5,7.324253731153255e-5,7.297868820551156e-5,7.271579594218382e-5,7.245385702364498e-5,7.21928679649036e-5,7.193282529383178e-5,7.167372555111812e-5,7.141556529021943e-5,7.115834107731297e-5,7.09020494912492e-5,7.064668712350408e-5,7.039225057813257e-5,7.01387364717209e-5,6.988614143334012e-5,6.963446210449951e-5,6.938369513910006e-5,6.913383720338835e-5,6.888488497591023e-5,6.86368351474649e-5,6.838968442105972e-5,6.814342951186386e-5,6.789806714716328e-5,6.765359406631555e-5,6.74100070207047e-5,6.716730277369638e-5,6.692547810059302e-5,6.668452978858973e-5,6.644445463672928e-5,6.620524945585831e-5,6.596691106858315e-5,6.572943630922606e-5,6.549282202378142e-5,6.525706506987217e-5,6.502216231670646e-5,6.478811064503482e-5,6.455490694710626e-5,6.432254812662614e-5,6.409103109871314e-5,6.386035278985674e-5,6.363051013787481e-5,6.340150009187133e-5,6.317331961219462e-5,6.294596567039493e-5,6.27194352491829e-5,6.249372534238801e-5,6.226883295491714e-5,6.204475510271314e-5,6.182148881271375e-5,6.159903112281092e-5,6.137737908180949e-5,6.11565297493867e-5,6.093648019605178e-5,6.0717227503105664e-5,6.049876876260045e-5,6.028110107729962e-5,6.006422156063796e-5,5.9848127336682214e-5,5.963281554009075e-5,5.941828331607472e-5,5.9204527820358476e-5,5.8991546219140514e-5,5.877933568905438e-5,5.8567893417129784e-5,5.835721660075427e-5,5.8147302447633965e-5,5.7938148175755696e-5,5.772975101334842e-5,5.752210819884526e-5,5.731521698084547e-5,5.710907461807654e-5,5.6903678379356365e-5,5.669902554355625e-5,5.649511339956267e-5,5.6291939246240544e-5,5.608950039239595e-5,5.5887794156739036e-5,5.568681786784737e-5,5.548656886412888e-5,5.5287044493785935e-5,5.508824211477795e-5,5.489015909478586e-5,5.46927928111756e-5,5.449614065096209e-5,5.430020001077352e-5,5.410496829681537e-5,5.39104429248348e-5,5.371662132008551e-5,5.352350091729185e-5,5.333107916061394e-5,5.3139353503612424e-5,5.294832140921362e-5,5.275798034967465e-5,5.256832780654866e-5,5.237936127065053e-5,5.219107824202205e-5,5.200347622989784e-5,5.1816552752671115e-5,5.163030533785974e-5,5.1444731522072156e-5,5.1259828850973646e-5,5.107559487925268e-5,5.089202717058757e-5,5.0709123297612624e-5,5.052688084188517e-5,5.034529739385239e-5,5.0164370552818155e-5,4.998409792691023e-5,4.980447713304738e-5,4.9625505796906915e-5,4.944718155289186e-5,4.926950204409868e-5,4.909246492228509e-5,4.891606784783762e-5,4.8740308489739874e-5,4.8565184525540295e-5,4.839069364132051e-5,4.821683353166384e-5,4.804360189962326e-5,4.7870996456690294e-5,4.7699014922763504e-5,4.752765502611748e-5,4.7356914503371486e-5,4.7186791099458536e-5,4.701728256759488e-5,4.6848386669248686e-5,4.668010117410974e-5,4.6512423860058906e-5,4.634535251313762e-5,4.617888492751768e-5,4.60130189054711e-5,4.5847752257339824e-5,4.5683082801506235e-5,4.5519008364362794e-5,4.5355526780282564e-5,4.5192635891589646e-5,4.503033354852957e-5,4.486861760923993e-5,4.470748593972109e-5,4.454693641380718e-5,4.4386966913136775e-5,4.422757532712401e-5,4.406875955292987e-5,4.391051749543333e-5,4.375284706720281e-5,4.359574618846751e-5,4.3439212787089166e-5,4.3283244798533785e-5,4.312784016584317e-5,4.2972996839607076e-5,4.2818712777935086e-5,4.2664985946428846e-5,4.251181431815418e-5,4.2359195873613396e-5,4.220712860071801e-5,4.20556104947608e-5,4.1904639558388844e-5,4.175421380157599e-5,4.1604331241595917e-5,4.145498990299491e-5,4.130618781756503e-5,4.115792302431703e-5,4.1010193569454115e-5,4.0862997506344664e-5,4.071633289549607e-5,4.057019780452814e-5,4.042459030814681e-5,4.027950848811785e-5,4.013495043324062e-5,3.999091423932243e-5,3.9847398009151956e-5,3.970439985247377e-5,3.956191788596249e-5,3.941995023319717e-5,3.927849502463556e-5,3.9137550397588855e-5,3.899711449619603e-5,3.8857185471398965e-5,3.871776148091684e-5,3.857884068922118e-5,3.844042126751095e-5,3.830250139368759e-5,3.8165079252330126e-5,3.802815303467047e-5,3.789172093856903e-5,3.7755781168489764e-5,3.7620331935476e-5,3.748537145712603e-5,3.735089795756882e-5,3.7216909667439876e-5,3.708340482385713e-5,3.6950381670396944e-5,3.681783845707036e-5,3.668577344029896e-5,3.655418488289146e-5,3.642307105401994e-5,3.629243022919628e-5,3.616226069024876e-5,3.603256072529863e-5,3.590332862873701e-5,3.5774562701201444e-5,3.56462612495529e-5,3.551842258685276e-5,3.5391045032339884e-5,3.5264126911407795e-5,3.513766655558182e-5,3.501166230249643e-5,3.488611249587291e-5,3.476101548549638e-5,3.4636369627193706e-5,3.4512173282811085e-5,3.4388424820191764e-5,3.426512261315386e-5,3.4142265041468284e-5,3.401985049083686e-5,3.389787735287013e-5,3.377634402506567e-5,3.3655248910786367e-5,3.3534590419238715e-5,3.3414366965451104e-5,3.329457697025243e-5,3.317521886025057e-5,3.305629106781126e-5,3.293779203103638e-5,3.2819720193743135e-5,3.270207400544277e-5,3.2584851921319566e-5,3.246805240220985e-5,3.235167391458118e-5,3.223571493051154e-5,3.212017392766852e-5,3.2005049389288696e-5,3.18903398041571e-5,3.177604366658674e-5,3.16621594763981e-5,3.154868573889889e-5,3.1435620964863635e-5,3.132296367051381e-5,3.1210712377497284e-5,3.109886561286856e-5,3.0987421909068764e-5,3.087637980390573e-5,3.076573784053416e-5,3.065549456743592e-5,3.054564853840047e-5,3.0436198312505033e-5,3.0327142454095225e-5,3.021847953276566e-5,3.011020812334041e-5,3.0002326805853817e-5,2.989483416553126e-5,2.9787728792769912e-5,2.9681009283119855e-5,2.957467423726477e-5,2.946872226100317e-5,2.9363151965229524e-5,2.92579619659154e-5,2.915315088409076e-5,2.904871734582523e-5,2.894465998220975e-5,2.884097742933767e-5,2.8737668328286562e-5,2.8634731325099723e-5,2.8532165070767917e-5,2.8429968221211087e-5,2.83281394372602e-5,2.8226677384639033e-5,2.8125580733946384e-5,2.8024848160637743e-5,2.7924478345007646e-5,2.7824469972171694e-5,2.7724821732048824e-5,2.7625532319343594e-5,2.7526600433528486e-5,2.7428024778826498e-5,2.7329804064193417e-5,2.7231937003300393e-5,2.7134422314516722e-5,2.703725872089232e-5,2.6940444950140653e-5,2.6843979734621397e-5,2.674786181132336e-5,2.6652089921847568e-5,2.6556662812389952e-5,2.6461579233724678e-5,2.6366837941187155e-5,2.627243769465728e-5,2.617837725854264e-5,2.60846554017618e-5,2.599127089772792e-5,2.58982225243318e-5,2.5805509063925678e-5,2.571312930330667e-5,2.5621082033700454e-5,2.5529366050744907e-5,2.543798015447386e-5,2.534692314930089e-5,2.5256193844003322e-5,2.51657910517059e-5,2.5075713589865e-5,2.4985960280252538e-5,2.4896529948940163e-5,2.4807421426283364e-5,2.4718633546905685e-5,2.4630165149683164e-5,2.4542015077728427e-5,2.4454182178375226e-5,2.4366665303162893e-5,2.4279463307820842e-5,2.4192575052253128e-5,2.4105999400523093e-5,2.4019735220838022e-5,2.3933781385534008e-5,2.3848136771060548e-5,2.376280025796555e-5,2.3677770730880224e-5,2.359304707850402e-5,2.3508628193589672e-5,2.3424512972928235e-5,2.334070031733441e-5,2.325718913163143e-5,2.3173978324636553e-5,2.3091066809146245e-5,2.3008453501921594e-5,2.2926137323673707e-5,2.284411719904916e-5,2.276239205661549e-5,2.268096082884693e-5,2.2599822452109775e-5,2.2518975866648286e-5,2.2438420016570295e-5,2.2358153849833086e-5,2.2278176318229124e-5,2.2198486377372046e-5,2.2119082986682623e-5,2.2039965109374644e-5,2.1961131712441018e-5,2.188258176663992e-5,2.180431424648091e-5,2.1726328130211104e-5,2.1648622399801508e-5,2.1571196040933206e-5,2.1494048042983936e-5,2.1417177399014222e-5,2.1340583105754002e-5,2.1264264163589127e-5,2.118821957654787e-5,2.1112448352287568e-5,2.103694950208126e-5,2.0961722040804477e-5,2.0886764986921858e-5,2.0812077362474072e-5,2.0737658193064607e-5,2.066350650784673e-5,2.0589621339510407e-5,2.051600172426927e-5,2.0442646701847836e-5,2.0369555315468377e-5,2.0296726611838176e-5,2.0224159641136737e-5,2.015185345700302e-5,2.007980711652267e-5,2.0008019680215467e-5,1.993649021202256e-5,1.986521777929409e-5,1.979420145277648e-5,1.972344030660004e-5,1.965293341826655e-5,1.9582679868636862e-5,1.951267874191853e-5,1.9442929125653566e-5,1.9373430110706236e-5,1.9304180791250704e-5,1.923518026475901e-5,1.9166427631988904e-5,1.9097921996971836e-5,1.902966246700084e-5,1.8961648152618653e-5,1.8893878167605694e-5,1.8826351628968316e-5,1.875906765692679e-5,1.8692025374903615e-5,1.8625223909511716e-5,1.8558662390542763e-5,1.8492339950955503e-5,1.8426255726864058e-5,1.8360408857526527e-5,1.829479848533322e-5,1.822942375579529e-5,1.8164283817533258e-5,1.809937782226561e-5,1.8034704924797412e-5,1.797026428300896e-5,1.7906055057844532e-5,1.7842076413301203e-5,1.7778327516417505e-5,1.7714807537262327e-5,1.7651515648923853e-5,1.75884510274984e-5,1.752561285207946e-5,1.746300030474659e-5,1.7400612570554668e-5,1.733844883752271e-5,1.727650829662319e-5,1.7214790141771136e-5,1.7153293569813336e-5,1.7092017780517613e-5,1.7030961976562083e-5,1.697012536352448e-5,1.6909507149871588e-5,1.6849106546948545e-5,1.6788922768968346e-5,1.672895503300129e-5,1.66692025589646e-5,1.6609664569611825e-5,1.655034029052257e-5,1.6491228950092146e-5,1.643232977952111e-5,1.6373642012805095e-5,1.631516488672453e-5,1.625689764083444e-5,1.6198839517454272e-5,1.6140989761657742e-5,1.6083347621262747e-5,1.602591234682138e-5,1.596868319160977e-5,1.5911659411618202e-5,1.5854840265541138e-5,1.5798225014767304e-5,1.5741812923369815e-5,1.5685603258096356e-5,1.5629595288359387e-5,1.5573788286226328e-5,1.5518181526409877e-5,1.5462774286258307e-5,1.5407565845745795e-5,1.5352555487462822e-5,1.5297742496606583e-5,1.5243126160971404e-5,1.5188705770939344e-5,1.5134480619470533e-5,1.5080450002093868e-5,1.5026613216897545e-5,1.4972969564519721e-5,1.491951834813914e-5,1.4866258873465812e-5,1.4813190448731875e-5,1.4760312384682138e-5,1.4707623994565062e-5,1.4655124594123509e-5,1.4602813501585626e-5,1.4550690037655736e-5,1.4498753525505304e-5,1.4447003290763836e-5,1.4395438661509996e-5,1.4344058968262502e-5,1.4292863543971276e-5,1.4241851724008516e-5,1.4191022846159865e-5,1.4140376250615518e-5,1.4089911279961425e-5,1.4039627279170647e-5,1.3989523595594427e-5,1.3939599578953598e-5,1.3889854581329899e-5,1.3840287957157315e-5,1.3790899063213484e-5,1.3741687258611124e-5,1.3692651904789428e-5,1.36437923655057e-5,1.3595108006826679e-5,1.3546598197120228e-5,1.3498262307046842e-5,1.3450099709551318e-5,1.3402109779854334e-5,1.3354291895444162e-5,1.3306645436068406e-5,1.3259169783725658e-5,1.3211864322657282e-5,1.3164728439339279e-5,1.3117761522474017e-5,1.307096296298215e-5,1.30243321539945e-5,1.2977868490843932e-5,1.2931571371057369e-5,1.2885440194347708e-5,1.2839474362605837e-5,1.279367327989267e-5,1.2748036352431243e-5,1.2702562988598777e-5,1.2657252598918781e-5,1.2612104596053299e-5,1.2567118394794956e-5,1.2522293412059268e-5,1.2477629066876829e-5,1.2433124780385619e-5,1.2388779975823248e-5,1.2344594078519336e-5,1.2300566515887818e-5,1.225669671741939e-5,1.2212984114673824e-5,1.2169428141272467e-5,1.2126028232890711e-5,1.2082783827250458e-5,1.2039694364112631e-5,1.1996759285269758e-5,1.1953978034538564e-5,1.1911350057752491e-5,1.1868874802754398e-5,1.182655171938918e-5,1.1784380259496498e-5,1.1742359876903457e-5,1.1700490027417322e-5,1.1658770168818324e-5,1.1617199760852476e-5,1.1575778265224303e-5,1.1534505145589754e-5,1.149337986754906e-5,1.1452401898639624e-5,1.1411570708328951e-5,1.1370885768007564e-5,1.133034655098209e-5,1.1289952532468098e-5,1.124970318958325e-5,1.1209598001340309e-5,1.1169636448640217e-5,1.112981801426521e-5,1.1090142182871932e-5,1.1050608440984604e-5,1.1011216276988242e-5,1.0971965181121763e-5,1.0932854645471297e-5,1.0893884163963419e-5,1.0855053232358422e-5,1.0816361348243637e-5,1.0777808011026735e-5,1.073939272192915e-5,1.0701114983979352e-5,1.0662974302006338e-5,1.0624970182632999e-5,1.0587102134269633e-5,1.0549369667107365e-5,1.0511772293111672e-5,1.047430952601589e-5,1.0436980881314834e-5,1.039978587625824e-5,1.0362724029844464e-5,1.0325794862814068e-5,1.0288997897643438e-5,1.0252332658538495e-5,1.0215798671428332e-5,1.0179395463959025e-5,1.0143122565487215e-5,1.010697950707399e-5,1.0070965821478622e-5,1.0035081043152362e-5,9.999324708232292e-6,9.96369635453516e-6,9.928195521551237e-6,9.892821750438276e-6,9.857574584015337e-6,9.822453566756781e-6,9.787458244786224e-6,9.752588165870534e-6,9.71784287941381e-6,9.6832219364514e-6,9.648724889644048e-6,9.61435129327183e-6,9.580100703228325e-6,9.545972677014727e-6,9.511966773733964e-6,9.478082554084867e-6,9.444319580356363e-6,9.410677416421624e-6,9.377155627732398e-6,9.34375378131313e-6,9.310471445755296e-6,9.277308191211681e-6,9.24426358939068e-6,9.211337213550629e-6,9.178528638494139e-6,9.145837440562533e-6,9.113263197630132e-6,9.08080548909875e-6,9.048463895892078e-6,9.016238000450173e-6,8.984127386723902e-6,8.952131640169453e-6,8.920250347742832e-6,8.888483097894449e-6,8.856829480563576e-6,8.825289087173017e-6,8.793861510623633e-6,8.762546345288999e-6,8.73134318701002e-6,8.700251633089568e-6,8.669271282287224e-6,8.63840173481387e-6,8.607642592326471e-6,8.576993457922783e-6,8.546453936136112e-6,8.516023632930071e-6,8.485702155693395e-6,8.45548911323469e-6,8.425384115777381e-6,8.395386774954415e-6,8.365496703803214e-6,8.335713516760533e-6,8.30603682965737e-6,8.276466259713896e-6,8.247001425534352e-6,8.217641947102104e-6,8.188387445774506e-6,8.159237544277957e-6,8.130191866702923e-6,8.101250038498933e-6,8.072411686469676e-6,8.043676438768013e-6,8.015043924891123e-6,7.98651377567559e-6,7.95808562329249e-6,7.929759101242571e-6,7.901533844351404e-6,7.873409488764563e-6,7.845385671942797e-6,7.81746203265726e-6,7.78963821098479e-6,7.761913848303034e-6,7.734288587285837e-6,7.706762071898437e-6,7.67933394739283e-6,7.652003860303035e-6,7.624771458440456e-6,7.597636390889221e-6,7.570598308001586e-6,7.543656861393261e-6,7.51681170393884e-6,7.4900624897672275e-6,7.463408874257069e-6,7.436850514032202e-6,7.410387066957106e-6,7.3840181921324555e-6,7.357743549890536e-6,7.3315628017908004e-6,7.305475610615418e-6,7.2794816403648084e-6,7.253580556253219e-6,7.227772024704297e-6,7.2020557133466895e-6,7.176431291009708e-6,7.15089842771888e-6,7.125456794691651e-6,7.100106064333037e-6,7.074845910231312e-6,7.049676007153687e-6,7.024596031042027e-6,6.9996056590086204e-6,6.974704569331849e-6,6.949892441451994e-6,6.925168955967012e-6,6.900533794628303e-6,6.875986640336536e-6,6.851527177137456e-6,6.827155090217718e-6,6.8028700659007855e-6,6.778671791642719e-6,6.754559956028106e-6,6.730534248765961e-6,6.7065943606856115e-6,6.682739983732662e-6,6.65897081096487e-6,6.63528653654822e-6,6.611686855752756e-6,6.588171464948665e-6,6.564740061602235e-6,6.541392344271894e-6,6.518128012604221e-6,6.494946767329996e-6,6.471848310260287e-6,6.44883234428248e-6,6.425898573356389e-6,6.4030467025103566e-6,6.380276437837379e-6,6.357587486491223e-6,6.334979556682578e-6,6.312452357675211e-6,6.290005599782172e-6,6.267638994361919e-6,6.2453522538145745e-6,6.223145091578107e-6,6.201017222124589e-6,6.1789683609564205e-6,6.156998224602568e-6,6.135106530614912e-6,6.113292997564426e-6,6.091557345037544e-6,6.069899293632457e-6,6.048318564955421e-6,6.026814881617122e-6,6.0053879672290074e-6,5.984037546399649e-6,5.962763344731159e-6,5.941565088815526e-6,5.920442506231057e-6,5.89939532553878e-6,5.878423276278884e-6,5.857526088967164e-6,5.836703495091452e-6,5.815955227108151e-6,5.7952810184386375e-6,5.774680603465819e-6,5.754153717530606e-6,5.7337000969284466e-6,5.71331947890588e-6,5.693011601657044e-6,5.672776204320263e-6,5.652613026974631e-6,5.632521810636555e-6,5.612502297256386e-6,5.592554229715017e-6,5.572677351820506e-6,5.5528714083047085e-6,5.533136144819928e-6,5.5134713079355945e-6,5.493876645134886e-6,5.474351904811455e-6,5.454896836266111e-6,5.435511189703523e-6,5.416194716228948e-6,5.396947167844957e-6,5.377768297448174e-6,5.35865785882606e-6,5.339615606653639e-6,5.320641296490295e-6,5.301734684776576e-6,5.2828955288309805e-6,5.264123586846771e-6,5.245418617888811e-6,5.226780381890416e-6,5.208208639650157e-6,5.189703152828761e-6,5.171263683945974e-6,5.152889996377433e-6,5.13458185435158e-6,5.116339022946555e-6,5.0981612680871125e-6,5.080048356541574e-6,5.062000055918728e-6,5.044016134664811e-6,5.026096362060471e-6,5.008240508217718e-6,4.9904483440769315e-6,4.972719641403842e-6,4.955054172786564e-6,4.937451711632579e-6,4.919912032165769e-6,4.902434909423482e-6,4.885020119253559e-6,4.867667438311402e-6,4.850376644057053e-6,4.833147514752249e-6,4.8159798294575745e-6,4.7988733680294885e-6,4.781827911117495e-6,4.764843240161248e-6,4.74791913738768e-6,4.7310553858081674e-6,4.714251769215668e-6,4.697508072181908e-6,4.680824080054532e-6,4.664199578954314e-6,4.64763435577234e-6,4.6311281981672285e-6,4.6146808945623346e-6,4.598292234142994e-6,4.581962006853734e-6,4.565690003395578e-6,4.549476015223234e-6,4.533319834542406e-6,4.517221254307058e-6,4.501180068216719e-6,4.485196070713755e-6,4.469269056980691e-6,4.453398822937553e-6,4.437585165239144e-6,4.421827881272422e-6,4.406126769153834e-6,4.39048162772667e-6,4.374892256558437e-6,4.359358455938229e-6,4.343880026874107e-6,4.328456771090533e-6,4.313088491025714e-6,4.297774989829057e-6,4.282516071358575e-6,4.267311540178341e-6,4.252161201555909e-6,4.237064861459765e-6,4.222022326556826e-6,4.207033404209854e-6,4.192097902474971e-6,4.17721563009914e-6,4.162386396517666e-6,4.147610011851694e-6,4.132886286905739e-6,4.118215033165191e-6,4.103596062793883e-6,4.089029188631595e-6,4.074514224191628e-6,4.060050983658363e-6,4.045639281884834e-6,4.031278934390293e-6,4.016969757357808e-6,4.002711567631879e-6,3.988504182716003e-6,3.97434742077031e-6,3.960241100609186e-6,3.946185041698908e-6,3.932179064155278e-6,3.918222988741263e-6,3.9043166368646655e-6,3.8904598305758e-6,3.876652392565134e-6,3.8628941461609986e-6,3.849184915327267e-6,3.83552452466106e-6,3.821912799390453e-6,3.8083495653721813e-6,3.794834649089398e-6,3.7813678776493653e-6,3.7679490787812163e-6,3.7545780808337054e-6,3.741254712772964e-6,3.7279788041802638e-6,3.7147501852497955e-6,3.70156868678644e-6,3.6884341402035868e-6,3.6753463775208903e-6,3.6623052313621113e-6,3.649310534952909e-6,3.636362122118681e-6,3.623459827282381e-6,3.6106034854623547e-6,3.5977929322702135e-6,3.585028003908643e-6,3.5723085371693e-6,3.55963436943067e-6,3.5470053386559387e-6,3.5344212833908945e-6,3.5218820427617994e-6,3.509387456473297e-6,3.496937364806344e-6,3.4845316086160874e-6,3.4721700293298067e-6,3.4598524689448484e-6,3.4475787700265563e-6,3.4353487757062205e-6,3.423162329679027e-6,3.411019276202037e-6,3.398919460092124e-6,3.386862726723972e-6,3.3748489220280517e-6,3.3628778924886074e-6,3.3509494851416644e-6,3.3390635475730224e-6,3.32721992791627e-6,3.315418474850823e-6,3.303659037599922e-6,3.2919414659286773e-6,3.2802656101421225e-6,3.2686313210832434e-6,3.2570384501310413e-6,3.245486849198601e-6,3.2339763707311583e-6,3.2225068677041657e-6,3.211078193621385e-6,3.1996902025129753e-6,3.1883427489335935e-6,3.1770356879604932e-6,3.1657688751916405e-6,3.154542166743822e-6,3.143355419250797e-6,3.1322084898613944e-6,3.121101236237664e-6,3.110033516553034e-6,3.099005189490449e-6,3.088016114240531e-6,3.077066150499746e-6,3.0661551584685923e-6,3.055282998849742e-6,3.044449532846264e-6,3.033654622159791e-6,3.022898128988733e-6,3.0121799160264716e-6,3.0014998464595823e-6,2.99085778396604e-6,2.9802535927134655e-6,2.9696871373573255e-6,2.959158283039196e-6,2.948666895384992e-6,2.9382128405032245e-6,2.9277959849832574e-6,2.91741619589356e-6,2.9070733407800004e-6,2.8967672876640933e-6,2.8864979050412943e-6,2.876265061879294e-6,2.8660686276163014e-6,2.8559084721593517e-6,2.845784465882609e-6,2.8356964796256772e-6,2.8256443846919393e-6,2.8156280528468503e-6,2.8056473563162877e-6,2.7957021677848846e-6,2.7857923603943763e-6,2.77591780774195e-6,2.7660783838785838e-6,2.7562739633074487e-6,2.7465044209822218e-6,2.7367696323055012e-6,2.7270694731271653e-6,2.7174038197427683e-6,2.70777254889192e-6,2.6981755377566926e-6,2.6886126639600143e-6,2.6790838055640993e-6,2.669588841068828e-6,2.6601276494101914e-6,2.650700109958711e-6,2.641306102517864e-6,2.6319455073225334e-6,2.6226182050374337e-6,2.6133240767555844e-6,2.604063003996735e-6,2.5948348687058423e-6,2.585639553251532e-6,2.5764769404245698e-6,2.567346913436336e-6,2.5582493559173125e-6,2.549184151915558e-6,2.540151185895225e-6,2.5311503427350324e-6,2.5221815077267806e-6,2.5132445665738623e-6,2.5043394053897745e-6,2.495465910696644e-6,2.4866239694237363e-6,2.477813468906018e-6,2.469034296882659e-6,2.4602863414955933e-6,2.4515694912880614e-6,2.4428836352031634e-6,2.4342286625824147e-6,2.425604463164308e-6,2.417010927082882e-6,2.408447944866306e-6,2.3999154074354323e-6,2.3914132061024032e-6,2.3829412325692287e-6,2.3744993789263825e-6,2.3660875376513998e-6,2.35770560160748e-6,2.3493534640421078e-6,2.341031018585647e-6,2.3327381592499723e-6,2.3244747804270896e-6,2.316240776887772e-6,2.3080360437801776e-6,2.2998604766285107e-6,2.2917139713316405e-6,2.2835964241617784e-6,2.2755077317631054e-6,2.267447791150447e-6,2.2594164997079266e-6,2.2514137551876455e-6,2.2434394557083432e-6,2.235493499754082e-6,2.227575786172941e-6,2.2196862141756758e-6,2.211824683334436e-6,2.2039910935814523e-6,2.1961853452077377e-6,2.1884073388617965e-6,2.1806569755483315e-6,2.1729341566269744e-6,2.1652387838109818e-6,2.157570759165982e-6,2.149929985108691e-6,2.142316364405655e-6,2.1347298001719873e-6,2.1271701958701105e-6,2.1196374553085026e-6,2.1121314826404617e-6,2.104652182362847e-6,2.0971994593148454e-6,2.089773218676746e-6,2.0823733659687016e-6,2.0749998070495077e-6,2.067652448115378e-6,2.0603311956987405e-6,2.0530359566670084e-6,2.0457666382213876e-6,2.038523147895664e-6,2.0313053935550115e-6,2.024113283394793e-6,2.0169467259393774e-6,2.009805630040941e-6,2.0026899048783123e-6,1.99559945995576e-6,1.98853420510185e-6,1.981494050468259e-6,1.974478906528622e-6,1.967488684077362e-6,1.96052329422854e-6,1.9535826484147153e-6,1.9466666583857705e-6,1.9397752362077886e-6,1.932908294261914e-6,1.9260657452432075e-6,1.9192475021595238e-6,1.91245347833038e-6,1.9056835873858338e-6,1.8989377432653737e-6,1.8922158602167909e-6,1.8855178527950725e-6,1.8788436358613035e-6,1.8721931245815532e-6,1.865566234425787e-6,1.8589628811667597e-6,1.852382980878944e-6,1.845826449937423e-6,1.8392932050168186e-6,1.8327831630902129e-6,1.8262962414280718e-6,1.8198323575971723e-6,1.81339142945954e-6,1.8069733751713788e-6,1.8005781131820258e-6,1.794205562232878e-6,1.7878556413563503e-6,1.78152826987483e-6,1.7752233673996262e-6,1.768940853829933e-6,1.7626806493517923e-6,1.7564426744370684e-6,1.7502268498424057e-6,1.7440330966082096e-6,1.7378613360576294e-6,1.7317114897955348e-6,1.725583479707504e-6,1.7194772279588132e-6,1.7133926569934272e-6,1.707329689533006e-6,1.701288248575892e-6,1.6952682573961194e-6,1.6892696395424259e-6,1.68329231883726e-6,1.6773362193757955e-6,1.6714012655249487e-6,1.665487381922414e-6,1.6595944934756683e-6,1.6537225253610116e-6,1.6478714030226002e-6,1.6420410521714788e-6,1.6362313987846264e-6,1.630442369103992e-6,1.6246738896355402e-6,1.6189258871483172e-6,1.6131982886734827e-6,1.6074910215033783e-6,1.6018040131905872e-6,1.5961371915469971e-6,1.5904904846428648e-6,1.5848638208058872e-6,1.5792571286202854e-6,1.5736703369258642e-6,1.5681033748171043e-6,1.5625561716422433e-6,1.5570286570023621e-6,1.551520760750478e-6,1.5460324129906353e-6,1.5405635440770004e-6,1.535114084612976e-6,1.5296839654502818e-6,1.524273117688081e-6,1.5188814726720784e-6,1.51350896199364e-6,1.508155517488908e-6,1.5028210712379167e-6,1.4975055555637267e-6,1.4922089030315355e-6,1.4869310464478141e-6,1.4816719188594421e-6,1.4764314535528404e-6,1.4712095840531065e-6,1.4660062441231635e-6,1.4608213677628952e-6,1.4556548892083079e-6,1.4505067429306663e-6,1.4453768636356576e-6,1.4402651862625427e-6,1.435171645983322e-6,1.4300961782018935e-6,1.42503871855322e-6,1.4199992029025064e-6,1.41497756734436e-6,1.4099737482019683e-6,1.4049876820262837e-6,1.4000193055952018e-6,1.3950685559127406e-6,1.3901353702082346e-6,1.3852196859355187e-6,1.3803214407721309e-6,1.3754405726184954e-6,1.3705770195971292e-6,1.3657307200518435e-6,1.3609016125469451e-6,1.3560896358664489e-6,1.3512947290132772e-6,1.3465168312084962e-6,1.341755881890502e-6,1.3370118207142596e-6,1.3322845875505204e-6,1.3275741224850421e-6,1.3228803658178231e-6,1.318203258062327e-6,1.3135427399447136e-6,1.3088987524030882e-6,1.3042712365867209e-6,1.2996601338553003e-6,1.295065385778175e-6,1.2904869341335968e-6,1.285924720907975e-6,1.281378688295123e-6,1.2768487786955232e-6,1.2723349347155696e-6,1.26783709916684e-6,1.2633552150653542e-6,1.2588892256308387e-6,1.2544390742859967e-6,1.25000470465578e-6,1.245586060566656e-6,1.241183086045897e-6,1.2367957253208436e-6,1.2324239228181942e-6,1.2280676231632882e-6,1.2237267711793919e-6,1.2194013118869866e-6,1.2150911905030595e-6,1.210796352440406e-6,1.2065167433069123e-6,1.2022523089048672e-6,1.198002995230254e-6,1.193768748472065e-6,1.1895495150115996e-6,1.1853452414217777e-6,1.1811558744664492e-6,1.1769813610997171e-6,1.1728216484652398e-6,1.1686766838955596e-6,1.1645464149114236e-6,1.160430789221106e-6,1.1563297547197372e-6,1.1522432594886258e-6,1.1481712517946063e-6,1.1441136800893506e-6,1.1400704930087235e-6,1.1360416393721092e-6,1.132027068181758e-6,1.1280267286221315e-6,1.1240405700592414e-6,1.1200685420400027e-6,1.1161105942915878e-6,1.1121666767207697e-6,1.1082367394132845e-6,1.104320732633186e-6,1.1004186068222083e-6,1.0965303125991232e-6,1.0926558007591093e-6,1.0887950222731192e-6,1.0849479282872443e-6,1.0811144701220876e-6,1.077294599272138e-6,1.0734882674051476e-6,1.0696954263615078e-6,1.0659160281536301e-6,1.0621500249653268e-6,1.0583973691512034e-6,1.0546580132360347e-6,1.0509319099141616e-6,1.0472190120488802e-6,1.0435192726718357e-6,1.039832644982418e-6,1.0361590823471583e-6,1.0324985382991365e-6,1.0288509665373734e-6,1.025216320926239e-6,1.0215945554948635e-6,1.0179856244365404e-6,1.01438948210814e-6,1.0108060830295226e-6,1.0072353818829522e-6,1.003677333512518e-6,1.0001318929235472e-6,9.96599015282032e-7,9.930786559140485e-7,9.895707703051886e-7,9.860753140999806e-7,9.825922431013238e-7,9.791215132699224e-7,9.75663080723712e-7,9.722169017373002e-7,9.687829327414053e-7,9.653611303222932e-7,9.619514512212245e-7,9.585538523338918e-7,9.551682907098699e-7,9.517947235520661e-7,9.484331082161646e-7,9.450834022100822e-7,9.4174556319342e-7,9.384195489769228e-7,9.351053175219335e-7,9.31802826939853e-7,9.285120354916094e-7,9.252329015871102e-7,9.219653837847137e-7,9.187094407906997e-7,9.154650314587329e-7,9.122321147893405e-7,9.090106499293795e-7,9.058005961715142e-7,9.026019129537002e-7,8.994145598586514e-7,8.962384966133278e-7,8.930736830884189e-7,8.899200792978259e-7,8.867776453981495e-7,8.836463416881755e-7,8.805261286083728e-7,8.774169667403752e-7,8.743188168064823e-7,8.712316396691518e-7,8.681553963304993e-7,8.650900479317964e-7,8.620355557529714e-7,8.589918812121118e-7,8.559589858649756e-7,8.529368314044853e-7,8.49925379660248e-7,8.469245925980574e-7,8.439344323194118e-7,8.409548610610227e-7,8.37985841194332e-7,8.350273352250324e-7,8.32079305792581e-7,8.29141715669721e-7,8.262145277620066e-7,8.232977051073249e-7,8.203912108754218e-7,8.174950083674311e-7,8.146090610153994e-7,8.117333323818253e-7,8.088677861591811e-7,8.060123861694546e-7,8.031670963636827e-7,8.003318808214895e-7,7.975067037506232e-7,7.946915294865e-7,7.918863224917487e-7,7.890910473557461e-7,7.86305668794172e-7,7.835301516485517e-7,7.807644608858077e-7,7.780085615978078e-7,7.752624190009192e-7,7.725259984355617e-7,7.697992653657669e-7,7.670821853787276e-7,7.643747241843645e-7,7.616768476148803e-7,7.589885216243267e-7,7.563097122881639e-7,7.536403858028278e-7,7.509805084852992e-7,7.48330046772665e-7,7.456889672216938e-7,7.430572365084054e-7,7.404348214276437e-7,7.378216888926504e-7,7.352178059346422e-7,7.326231397023869e-7,7.300376574617859e-7,7.27461326595449e-7,7.248941146022794e-7,7.22335989097058e-7,7.197869178100277e-7,7.172468685864788e-7,7.147158093863371e-7,7.12193708283758e-7,7.096805334667104e-7,7.07176253236572e-7,7.046808360077242e-7,7.021942503071478e-7,6.997164647740174e-7,6.972474481593e-7,6.947871693253602e-7,6.92335597245552e-7,6.898927010038275e-7,6.874584497943411e-7,6.85032812921052e-7,6.826157597973332e-7,6.802072599455786e-7,6.778072829968119e-7,6.754157986903031e-7,6.730327768731729e-7,6.706581875000115e-7,6.682920006324935e-7,6.659341864389928e-7,6.63584715194203e-7,6.612435572787531e-7,6.589106831788352e-7,6.565860634858185e-7,6.542696688958773e-7,6.519614702096149e-7,6.496614383316904e-7,6.473695442704451e-7,6.450857591375324e-7,6.42810054147547e-7,6.405424006176597e-7,6.382827699672448e-7,6.36031133717518e-7,6.337874634911711e-7,6.315517310120093e-7,6.29323908104588e-7,6.271039666938528e-7,6.248918788047837e-7,6.226876165620307e-7,6.204911521895605e-7,6.183024580103022e-7,6.16121506445791e-7,6.139482700158173e-7,6.117827213380735e-7,6.096248331278022e-7,6.074745781974542e-7,6.053319294563315e-7,6.031968599102465e-7,6.010693426611741e-7,5.989493509069101e-7,5.968368579407257e-7,5.947318371510266e-7,5.92634262021017e-7,5.905441061283526e-7,5.884613431448074e-7,5.863859468359377e-7,5.843178910607439e-7,5.822571497713384e-7,5.802036970126108e-7,5.781575069218962e-7,5.76118553728649e-7,5.740868117541049e-7,5.720622554109592e-7,5.700448592030374e-7,5.680345977249693e-7,5.660314456618655e-7,5.640353777889896e-7,5.620463689714436e-7,5.600643941638378e-7,5.58089428409976e-7,5.561214468425349e-7,5.541604246827468e-7,5.522063372400821e-7,5.502591599119349e-7,5.483188681833058e-7,5.463854376264941e-7,5.444588439007801e-7,5.425390627521154e-7,5.406260700128145e-7,5.387198416012453e-7,5.368203535215211e-7,5.349275818631927e-7,5.330415028009473e-7,5.311620925942987e-7,5.292893275872863e-7,5.27423184208174e-7,5.25563638969147e-7,5.237106684660135e-7,5.218642493779042e-7,5.200243584669747e-7,5.181909725781114e-7,5.163640686386308e-7,5.145436236579886e-7,5.127296147274842e-7,5.1092201901997e-7,5.091208137895563e-7,5.073259763713244e-7,5.055374841810373e-7,5.037553147148479e-7,5.019794455490136e-7,5.002098543396105e-7,4.984465188222473e-7,4.966894168117815e-7,4.949385262020347e-7,4.93193824965512e-7,4.914552911531223e-7,4.897229028938927e-7,4.879966383946944e-7,4.862764759399623e-7,4.845623938914179e-7,4.828543706877936e-7,4.81152384844556e-7,4.794564149536359e-7,4.777664396831486e-7,4.7608243777712664e-7,4.744043880552468e-7,4.7273226941255894e-7,4.710660608192185e-7,4.694057413202165e-7,4.677512900351126e-7,4.661026861577702e-7,4.644599089560878e-7,4.628229377717373e-7,4.6119175201989857e-7,4.595663311889976e-7,4.5794665484044465e-7,4.563327026083732e-7,4.5472445419938186e-7,4.531218893922731e-7,4.5152498803779514e-7,4.4993373005838697e-7,4.483480954479214e-7,4.4676806427144917e-7,4.4519361666494523e-7,4.4362473283505443e-7,4.420613930588421e-7,4.405035776835389e-7,4.3895126712629096e-7,4.3740444187391126e-7,4.358630824826303e-7,4.343271695778481e-7,4.3279668385388565e-7,4.312716060737433e-7,4.2975191706884923e-7,4.282375977388196e-7,4.2672862905121247e-7,4.2522499204128676e-7,4.2372666781175967e-7,4.222336375325656e-7,4.207458824406158e-7,4.192633838395623e-7,4.1778612309955385e-7,4.163140816570032e-7,4.1484724101434766e-7,4.1338558273981534e-7,4.119290884671891e-7,4.104777398955716e-7,4.09031518789155e-7,4.0759040697698517e-7,4.061543863527314e-7,4.047234388744563e-7,4.0329754656438494e-7,4.018766915086766e-7,4.0046085585719475e-7,3.990500218232816e-7,3.976441716835316e-7,3.9624328777756314e-7,3.9484735250779524e-7,3.934563483392233e-7,3.920702577991956e-7,3.9068906347719047e-7,3.8931274802459334e-7,3.8794129415448007e-7,3.865746846413904e-7,3.852129023211128e-7,3.838559300904647e-7,3.825037509070744e-7,3.8115634778916465e-7,3.798137038153353e-7,3.784758021243473e-7,3.771426259149127e-7,3.7581415844547297e-7,3.7449038303399146e-7,3.731712830577386e-7,3.7185684195308123e-7,3.705470432152713e-7,3.6924187039823465e-7,3.6794130711436446e-7,3.6664533703430906e-7,3.6535394388676613e-7,3.640671114582746e-7,3.6278482359300946e-7,3.615070641925739e-7,3.6023381721579707e-7,3.5896506667852674e-7,3.577007966534299e-7,3.564409912697854e-7,3.551856347132848e-7,3.539347112258304e-7,3.526882051053345e-7,3.5144610070552003e-7,3.502083824357193e-7,3.489750347606805e-7,3.477460422003637e-7,3.465213893297479e-7,3.4530106077863354e-7,3.440850412314471e-7,3.4287331542704586e-7,3.416658681585243e-7,3.4046268427301896e-7,3.392637486715191e-7,3.3806904630867034e-7,3.3687856219258555e-7,3.3569228138465436e-7,3.3451018899935196e-7,3.3333227020404966e-7,3.321585102188273e-7,3.309888943162854e-7,3.29823407821356e-7,3.286620361111168e-7,3.2750476461460564e-7,3.2635157881263517e-7,3.252024642376073e-7,3.240574064733297e-7,3.229163911548322e-7,3.217794039681855e-7,3.206464306503167e-7,3.1951745698882915e-7,3.1839246882182195e-7,3.1727145203770933e-7,3.161543925750414e-7,3.150412764223246e-7,3.139320896178462e-7,3.128268182494928e-7,3.1172544845457617e-7,3.1062796641965623e-7,3.095343583803651e-7,3.0844461062123225e-7,3.0735870947551085e-7,3.0627664132500247e-7,3.0519839259988604e-7,3.041239497785436e-7,3.0305329938738867e-7,3.0198642800069523e-7,3.0092332224042766e-7,2.9986396877606957e-7,2.9880835432445457e-7,2.9775646564959907e-7,2.9670828956253163e-7,2.9566381292112647e-7,2.9462302262993637e-7,2.935859056400267e-7,2.9255244894880856e-7,2.915226395998742e-7,2.904964646828319e-7,2.894739113331439e-7,2.8845496673195916e-7,2.8743961810595395e-7,2.864278527271674e-7,2.854196579128408e-7,2.8441502102525645e-7,2.834139294715759e-7,2.8241637070368286e-7,2.814223322180199e-7,2.8043180155543227e-7,2.7944476630100867e-7,2.784612140839238e-7,2.7748113257728117e-7,2.765045094979563e-7,2.755313326064403e-7,2.74561589706687e-7,2.735952686459539e-7,2.7263235731465066e-7,2.716728436461844e-7,2.707167156168063e-7,2.6976396124546043e-7,2.68814568593628e-7,2.67868525765181e-7,2.6692582090622594e-7,2.659864422049565e-7,2.6505037789150223e-7,2.6411761623778003e-7,2.6318814555734425e-7,2.6226195420523864e-7,2.613390305778484e-7,2.6041936311275445e-7,2.595029402885835e-7,2.585897506248645e-7,2.5767978268188123e-7,2.567730250605282e-7,2.5586946640216526e-7,2.5496909538847325e-7,2.540719007413117e-7,2.53177871222574e-7,2.522869956340452e-7,2.513992628172601e-7,2.5051466165336226e-7,2.496331810629614e-7,2.4875481000599374e-7,2.4787953748158194e-7,2.470073525278958e-7,2.461382442220119e-7,2.4527220167977556e-7,2.4440921405566347e-7,2.435492705426448e-7,2.426923603720456e-7,2.418384728134099e-7,2.4098759717436714e-7,2.401397228004922e-7,2.392948390751732e-7,2.3845293541947584e-7,2.3761400129200945e-7,2.3677802618879252e-7,2.3594499964312018e-7,2.3511491122543217e-7,2.3428775054317847e-7,2.3346350724068877e-7,2.326421709990413e-7,2.3182373153593125e-7,2.3100817860554074e-7,2.301955019984091e-7,2.293856915413022e-7,2.285787370970857e-7,2.2777462856459393e-7,2.2697335587850329e-7,2.2617490900920438e-7,2.253792779626742e-7,2.2458645278035025e-7,2.237964235390036e-7,2.2300918035061425e-7,2.2222471336224376e-7,2.214430127559117e-7,2.206640687484709e-7,2.198878715914834e-7,2.191144115710967e-7,2.1834367900792088e-7,2.1757566425690519e-7,2.1681035770721755e-7,2.1604774978212012e-7,2.1528783093885003e-7,2.1453059166849699e-7,2.13776022495884e-7,2.130241139794463e-7,2.1227485671111168e-7,2.115282413161827e-7,2.1078425845321562e-7,2.100428988139035e-7,2.0930415312295803e-7,2.0856801213799123e-7,2.0783446664939946e-7,2.0710350748024596e-7,2.0637512548614407e-7,2.056493115551437e-7,2.0492605660761237e-7,2.042053515961227e-7,2.0348718750533696e-7,2.0277155535189294e-7,2.0205844618428994e-7,2.0134785108277513e-7,2.0063976115923228e-7,1.9993416755706632e-7,1.992310614510931e-7,1.985304340474271e-7,1.9783227658336995e-7,1.971365803272994e-7,1.9644333657855906e-7,1.957525366673473e-7,1.9506417195460903e-7,1.9437823383192441e-7,1.9369471372140103e-7,1.9301360307556495e-7,1.9233489337725208e-7,1.916585761395011e-7,1.909846429054447e-7,1.903130852482048e-7,1.89643894770783e-7,1.8897706310595575e-7,1.8831258191616864e-7,1.8765044289342995e-7,1.869906377592063e-7,1.8633315826431694e-7,1.856779961888297e-7,1.8502514334195805e-7,1.8437459156195515e-7,1.8372633271601206e-7,1.8308035870015441e-7,1.824366614391397e-7,1.8179523288635528e-7,1.8115606502371603e-7,1.8051914986156392e-7,1.7988447943856564e-7,1.792520458216121e-7,1.786218411057186e-7,1.7799385741392413e-7,1.7736808689719217e-7,1.7674452173431083e-7,1.7612315413179417e-7,1.7550397632378417e-7,1.7488698057195093e-7,1.7427215916539608e-7,1.736595044205545e-7,1.7304900868109737e-7,1.7244066431783532e-7,1.7183446372862122e-7,1.7123039933825575e-7,1.706284635983893e-7,1.700286489874278e-7,1.6943094801043714e-7,1.6883535319904872e-7,1.682418571113643e-7,1.676504523318626e-7,1.6706113147130455e-7,1.664738871666414e-7,1.6588871208091962e-7,1.653055989031892e-7,1.6472454034841108e-7,1.641455291573648e-7,1.6356855809655674e-7,1.6299361995812836e-7,1.624207075597664e-7,1.6184981374460956e-7,1.6128093138116016e-7,1.6071405336319285e-7,1.6014917260966504e-7,1.595862820646275e-7,1.5902537469713452e-7,1.5846644350115578e-7,1.5790948149548766e-7,1.5735448172366413e-7,1.568014372538696e-7,1.5625034117885096e-7,1.5570118661583023e-7,1.551539667064178e-7,1.5460867461652496e-7,1.540653035362789e-7,1.5352384667993512e-7,1.5298429728579236e-7,1.5244664861610705e-7,1.5191089395700792e-7,1.5137702661841177e-7,1.508450399339378e-7,1.5031492726082408e-7,1.4978668197984422e-7,1.4926029749522194e-7,1.487357672345491e-7,1.482130846487024e-7,1.4769224321175988e-7,1.471732364209195e-7,1.4665605779641588e-7,1.4614070088143975e-7,1.456271592420547e-7,1.451154264671173e-7,1.4460549616819514e-7,1.440973619794865e-7,1.4359101755773982e-7,1.4308645658217374e-7,1.4258367275439672e-7,1.4208265979832844e-7,1.4158341146011932e-7,1.4108592150807194e-7,1.4059018373256266e-7,1.400961919459628e-7,1.3960393998256063e-7,1.391134216984831e-7,1.3862463097161907e-7,1.3813756170154105e-7,1.3765220780942853e-7,1.3716856323799104e-7,1.36686621951392e-7,1.3620637793517198e-7,1.3572782519617318e-7,1.352509577624632e-7,1.3477576968326058e-7,1.3430225502885837e-7,1.3383040789054995e-7,1.3336022238055447e-7,1.3289169263194226e-7,1.324248127985607e-7,1.3195957705496031e-7,1.3149597959632218e-7,1.3103401463838296e-7,1.3057367641736294e-7,1.301149591898931e-7,1.2965785723294255e-7,1.292023648437461e-7,1.287484763397325e-7,1.2829618605845217e-7,1.2784548835750695e-7,1.2739637761447727e-7,1.269488482268522e-7,1.265028946119581e-7,1.2605851120688897e-7,1.2561569246843537e-7,1.2517443287301453e-7,1.2473472691660185e-7,1.242965691146595e-7,1.238599540020685e-7,1.2342487613305917e-7,1.229913300811429e-7,1.2255931043904314e-7,1.2212881181862732e-7,1.2169982885083887e-7,1.2127235618563e-7,1.208463884918929e-7,1.204219204573935e-7,1.1999894678870414e-7,1.195774622111369e-7,1.1915746146867665e-7,1.187389393239148e-7,1.1832189055798415e-7,1.1790630997049151e-7,1.1749219237945309e-7,1.1707953262122888e-7,1.1666832555045743e-7,1.1625856603999092e-7,1.1585024898083064e-7,1.1544336928206214e-7,1.1503792187079196e-7,1.146339016920823e-7,1.14231303708888e-7,1.1383012290199294e-7,1.134303542699469e-7,1.1303199282900189e-7,1.1263503361304956e-7,1.122394716735595e-7,1.1184530207951493e-7,1.1145251991735193e-7,1.1106112029089708e-7,1.1067109832130572e-7,1.1028244914700021e-7,1.0989516792360895e-7,1.0950924982390488e-7,1.091246900377454e-7,1.0874148377201059e-7,1.0835962625054346e-7,1.0797911271408968e-7,1.0759993842023749e-7,1.0722209864335763e-7,1.0684558867454421e-7,1.0647040382155535e-7,1.0609653940875345e-7,1.0572399077704655e-7,1.0535275328382978e-7,1.0498282230292664e-7,1.0461419322453063e-7,1.0424686145514724e-7,1.0388082241753574e-7,1.0351607155065246e-7,1.0315260430959184e-7,1.0279041616553011e-7,1.0242950260566791e-7,1.0206985913317353e-7,1.0171148126712606e-7,1.0135436454245882e-7,1.0099850450990385e-7,1.0064389673593463e-7,1.0029053680271105e-7,9.993842030802334e-8,9.95875428652369e-8,9.923790010323675e-8,9.888948766637257e-8,9.854230121440356e-8,9.819633642244448e-8,9.78515889809102e-8,9.750805459546188e-8,9.716572898695296e-8,9.68246078913748e-8,9.648468705980355e-8,9.614596225834588e-8,9.580842926808671e-8,9.547208388503478e-8,9.513692192007058e-8,9.480293919889313e-8,9.447013156196769e-8,9.41384948644731e-8,9.380802497624982e-8,9.347871778174745e-8,9.315056917997375e-8,9.282357508444194e-8,9.24977314231198e-8,9.217303413837843e-8,9.184947918694084e-8,9.152706253983122e-8,9.120578018232407e-8,9.088562811389403e-8,9.056660234816492e-8,9.024869891285976e-8,8.993191384975084e-8,8.961624321460981e-8,8.930168307715798e-8,8.898822952101689e-8,8.867587864365874e-8,8.836462655635798e-8,8.80544693841413e-8,8.77454032657395e-8,8.743742435353879e-8,8.713052881353225e-8,8.682471282527149e-8,8.651997258181863e-8,8.621630428969873e-8,8.591370416885133e-8,8.561216845258326e-8,8.531169338752116e-8,8.501227523356428e-8,8.471391026383736e-8,8.441659476464374e-8,8.412032503541824e-8,8.382509738868161e-8,8.353090814999277e-8,8.32377536579035e-8,8.294563026391199e-8,8.265453433241694e-8,8.236446224067184e-8,8.207541037873939e-8,8.178737514944634e-8,8.15003529683375e-8,8.121434026363127e-8,8.092933347617437e-8,8.064532905939736e-8,8.036232347926957e-8,8.008031321425489e-8,7.97992947552678e-8,7.951926460562835e-8,7.924021928101897e-8,7.896215530944015e-8,7.868506923116694e-8,7.840895759870548e-8,7.813381697674946e-8,7.785964394213683e-8,7.758643508380733e-8,7.73141870027588e-8,7.704289631200462e-8,7.67725596365315e-8,7.650317361325666e-8,7.62347348909854e-8,7.596724013036936e-8,7.570068600386449e-8,7.543506919568868e-8,7.517038640178042e-8,7.490663432975736e-8,7.464380969887457e-8,7.438190923998354e-8,7.412092969549094e-8,7.386086781931762e-8,7.36017203768581e-8,7.334348414493932e-8,7.308615591178055e-8,7.282973247695281e-8,7.257421065133878e-8,7.231958725709243e-8,7.206585912759924e-8,7.181302310743668e-8,7.156107605233386e-8,7.13100148291325e-8,7.105983631574724e-8,7.081053740112667e-8,7.05621149852141e-8,7.031456597890842e-8,7.006788730402526e-8,6.982207589325905e-8,6.957712869014315e-8,6.933304264901239e-8,6.908981473496454e-8,6.884744192382198e-8,6.860592120209394e-8,6.836524956693831e-8,6.81254240261245e-8,6.7886441597995e-8,6.76482993114285e-8,6.741099420580224e-8,6.717452333095504e-8,6.693888374715005e-8,6.670407252503783e-8,6.647008674561943e-8,6.623692350021026e-8,6.60045798904026e-8,6.577305302802993e-8,6.554234003513036e-8,6.531243804391036e-8,6.508334419670903e-8,6.485505564596173e-8,6.462756955416502e-8,6.440088309384017e-8,6.417499344749815e-8,6.394989780760408e-8,6.372559337654202e-8,6.350207736657976e-8,6.327934699983375e-8,6.305739950823417e-8,6.283623213349065e-8,6.261584212705681e-8,6.23962267500962e-8,6.217738327344795e-8,6.195930897759221e-8,6.174200115261621e-8,6.152545709818002e-8,6.130967412348318e-8,6.109464954722991e-8,6.088038069759634e-8,6.06668649121965e-8,6.045409953804894e-8,6.024208193154355e-8,6.003080945840823e-8,5.982027949367569e-8,5.961048942165095e-8,5.940143663587794e-8,5.9193118539106994e-8,5.898553254326226e-8,5.877867606940919e-8,5.857254654772213e-8,5.836714141745199e-8,5.816245812689437e-8,5.7958494133357106e-8,5.7755246903128587e-8,5.755271391144587e-8,5.735089264246308e-8,5.714978058921965e-8,5.694937525360907e-8,5.6749674146347154e-8,5.6550674786941396e-8,5.6352374703659175e-8,5.6154771433497114e-8,5.5957862522149946e-8,5.5761645523980003e-8,5.5566118001986213e-8,5.5371277527773477e-8,5.5177121681522717e-8,5.498364805195978e-8,5.479085423632561e-8,5.459873784034596e-8,5.440729647820139e-8,5.421652777249733e-8,5.402642935423411e-8,5.3836998862777325e-8,5.364823394582841e-8,5.346013225939472e-8,5.327269146776031e-8,5.308590924345673e-8,5.289978326723359e-8,5.271431122802963e-8,5.252949082294357e-8,5.2345319757205595e-8,5.216179574414796e-8,5.197891650517672e-8,5.179667976974303e-8,5.161508327531462e-8,5.143412476734745e-8,5.1253801999257437e-8,5.107411273239211e-8,5.0895054736002986e-8,5.071662578721688e-8,5.053882367100859e-8,5.0361646180172865e-8,5.018509111529671e-8,5.0009156284731903e-8,4.983383950456736e-8,4.965913859860204e-8,4.94850513983172e-8,4.931157574284946e-8,4.913870947896375e-8,4.896645046102618e-8,4.879479655097704e-8,4.8623745618304313e-8,4.8453295540016474e-8,4.82834442006165e-8,4.811418949207467e-8,4.7945529313802516e-8,4.7777461572626416e-8,4.7609984182761304e-8,4.74430950657845e-8,4.727679215060965e-8,4.711107337346096e-8,4.694593667784695e-8,4.678138001453491e-8,4.6617401341525145e-8,4.645399862402536e-8,4.629116983442515e-8,4.612891295227065e-8,4.5967225964238954e-8,4.580610686411343e-8,4.564555365275783e-8,4.548556433809171e-8,4.5326136935065375e-8,4.516726946563488e-8,4.500895995873741e-8,4.485120645026623e-8,4.469400698304673e-8,4.453735960681106e-8,4.438126237817421e-8,4.422571336060957e-8,4.407071062442458e-8,4.391625224673654e-8,4.3762336311448555e-8,4.3608960909225406e-8,4.3456124137470055e-8,4.3303824100299076e-8,4.315205890851946e-8,4.3000826679604676e-8,4.285012553767124e-8,4.269995361345506e-8,4.255030904428804e-8,4.240118997407496e-8,4.225259455326982e-8,4.210452093885297e-8,4.1956967294307853e-8,4.1809931789598134e-8,4.1663412601144596e-8,4.151740791180248e-8,4.137191591083851e-8,4.122693479390851e-8,4.1082462763034396e-8,4.0938498026581964e-8,4.079503879923828e-8,4.0652083301989456e-8,4.050962976209814e-8,4.036767641308149e-8,4.0226221494689185e-8,4.008526325288091e-8,3.9944799939804803e-8,3.980482981377535e-8,3.9665351139251714e-8,3.952636218681582e-8,3.9387861233150855e-8,3.924984656101951e-8,3.91123164592428e-8,3.8975269222678205e-8,3.8838703152198535e-8,3.870261655467067e-8,3.856700774293429e-8,3.8431875035780835e-8,3.829721675793218e-8,3.816303124002018e-8,3.8029316818565153e-8,3.789607183595553e-8,3.776329464042674e-8,3.763098358604076e-8,3.74991370326655e-8,3.736775334595408e-8,3.723683089732449e-8,3.7106368063939374e-8,3.697636322868533e-8,3.684681478015291e-8,3.671772111261641e-8,3.658908062601377e-8,3.646089172592647e-8,3.633315282355959e-8,3.620586233572214e-8,3.607901868480683e-8,3.5952620298770724e-8,3.5826665611114984e-8,3.5701153060866255e-8,3.557608109255609e-8,3.545144815620198e-8,3.532725270728796e-8,3.520349320674514e-8,3.50801681209325e-8,3.495727592161772e-8,3.483481508595797e-8,3.4712784096480975e-8,3.4591181441065855e-8,3.4470005612924385e-8,3.434925511058195e-8,3.422892843785896e-8,3.41090241038519e-8,3.3989540622914773e-8,3.387047651464077e-8,3.375183030384322e-8,3.363360052053751e-8,3.351578569992252e-8,3.339838438236247e-8,3.328139511336842e-8,3.3164816443580296e-8,3.304864692874855e-8,3.293288512971632e-8,3.281752961240116e-8,3.2702578947777335e-8,3.258803171185776e-8,3.2473886485676344e-8,3.2360141855270053e-8,3.2246796411661287e-8,3.213384875084063e-8,3.202129747374857e-8,3.190914118625847e-8,3.179737849915907e-8,3.168600802813703e-8,3.1575028393759695e-8,3.146443822145779e-8,3.135423614150815e-8,3.124442078901679e-8,3.1134990803901617e-8,3.1025944830875573e-8,3.0917281519429586e-8,3.0808999523815734e-8,3.070109750303038e-8,3.059357412079733e-8,3.0486428045551516e-8,3.0379657950421714e-8,3.027326251321437e-8,3.0167240416396975e-8,3.006159034708158e-8,2.9956310997008356e-8,2.985140106252931e-8,2.9746859244591824e-8,2.9642684248722637e-8,2.9538874785011458e-8,2.943542956809492e-8,2.9332347317140556e-8,2.922962675583066e-8,2.9127266612346467e-8,2.9025265619352035e-8,2.8923622513978884e-8,2.882233603780955e-8,2.8721404936862306e-8,2.8620827961575323e-8,2.8520603866791093e-8,2.842073141174087e-8,2.8321209360029078e-8,2.8222036479617995e-8,2.812321154281221e-8,2.802473332624339e-8,2.7926600610854907e-8,2.7828812181886608e-8,2.773136682885971e-8,2.7634263345561575e-8,2.7537500530030563e-8,2.744107718454146e-8,2.734499211558983e-8,2.7249244133877537e-8,2.7153832054297795e-8,2.7058754695920333e-8,2.6964010881976622e-8,2.686959943984523e-8,2.6775519201037106e-8,2.668176900118098e-8,2.6588347680008867e-8,2.649525408134151e-8,2.6402487053073966e-8,2.63100454471612e-8,2.6217928119603743e-8,2.6126133930433268e-8,2.6034661743698798e-8,2.5943510427451865e-8,2.5852678853732822e-8,2.5762165898556584e-8,2.5671970441898604e-8,2.558209136768095e-8,2.5492527563758263e-8,2.540327792190389e-8,2.53143413377961e-8,2.5225716711004206e-8,2.5137402944974855e-8,2.5049398947018347e-8,2.4961703628294944e-8,2.4874315903801307e-8,2.4787234692356844e-8,2.4700458916590515e-8,2.4613987502926944e-8,2.4527819381573237e-8,2.4441953486505635e-8,2.4356388755456147e-8,2.4271124129899288e-8,2.4186158555038886e-8,2.4101490979794876e-8,2.4017120356790184e-8,2.3933045642337636e-8,2.384926579642696e-8,2.3765779782711748e-8,2.368258656849656e-8,2.3599685124723992e-8,2.351707442596177e-8,2.3434753450390247e-8,2.3352721179789186e-8,2.3270976599525317e-8,2.3189518698539684e-8,2.3108346469334893e-8,2.302745890796264e-8,2.294685501401111e-8,2.2866533790592527e-8,2.2786494244330685e-8,2.270673538534856e-8,2.2627256227255913e-8,2.2548055787137046e-8,2.2469133085538463e-8,2.239048714645667e-8,2.2312116997325923e-8,2.2234021669006397e-8,2.2156200195771593e-8,2.20786516152966e-8,2.2001374968646056e-8,2.1924369300262116e-8,2.184763365795254e-8,2.177116709287883e-8,2.169496865954437e-8,2.161903741578263e-8,2.1543372422745388e-8,2.1467972744891043e-8,2.139283744997291e-8,2.131796560902761e-8,2.1243356296363456e-8,2.1169008589548856e-8,2.1094921569401024e-8,2.102109431997417e-8,2.0947525928548285e-8,2.0874215485617714e-8,2.0801162084879786e-8,2.0728364823223532e-8,2.0655822800718393e-8,2.0583535120602975e-8,2.0511500889273903e-8,2.043971921627466e-8,2.0368189214284418e-8,2.0296909999107066e-8,2.02258806896601e-8,2.0155100407963648e-8,2.0084568279129473e-8,2.001428343135031e-8,1.9944244995888587e-8,1.987445210706582e-8,1.9804903902251836e-8,1.973559952185392e-8,1.9666538109306126e-8,1.9597718811058608e-8,1.9529140776566977e-8,1.946080315828163e-8,1.9392705111637237e-8,1.9324845795042197e-8,1.9257224369868133e-8,1.9189840000439415e-8,1.9122691854022772e-8,1.9055779100816794e-8,1.8989100913941907e-8,1.8922656469429603e-8,1.8856444946212458e-8,1.8790465526113837e-8,1.8724717393837653e-8,1.8659199736958212e-8,1.8593911745910156e-8,1.8528852613978217e-8,1.8464021537287278e-8,1.8399417714792326e-8,1.8335040348268427e-8,1.8270888642300795e-8,1.820696180427489e-8,1.814325904436648e-8,1.8079779575531802e-8,1.801652261349795e-8,1.795348737675274e-8,1.7890673086535195e-8,1.782807896682581e-8,1.7765704244336818e-8,1.770354814850264e-8,1.764160991147016e-8,1.757988876808927e-8,1.7518383955903248e-8,1.745709471513929e-8,1.7396020288699016e-8,1.7335159922149074e-8,1.727451286371167e-8,1.7214078364255262e-8,1.715385567728511e-8,1.709384405893425e-8,1.7034042767953854e-8,1.6974451065704185e-8,1.69150682161454e-8,1.6855893485828328e-8,1.6796926143885352e-8,1.6738165462021268e-8,1.6679610714504272e-8,1.6621261178156828e-8,1.656311613234672e-8,1.6505174858978058e-8,1.6447436642482304e-8,1.6389900769809395e-8,1.6332566530418803e-8,1.627543321627068e-8,1.621850012181723e-8,1.616176654399357e-8,1.610523178220922e-8,1.6048895138339304e-8,1.599275591671585e-8,1.593681342411911e-8,1.5881066969768944e-8,1.5825515865316223e-8,1.5770159424834205e-8,1.5714996964810024e-8,1.5660027804136186e-8,1.5605251264102028e-8,1.5550666668385325e-8,1.5496273343043777e-8,1.5442070616506832e-8,1.5388057819567e-8,1.533423428537174e-8,1.5280599349415064e-8,1.5227152349529297e-8,1.517389262587682e-8,1.512081952094184e-8,1.5067932379522206e-8,1.5015230548721247e-8,1.4962713377939633e-8,1.4910380218867283e-8,1.4858230425475282e-8,1.480626335400784e-8,1.4754478362974265e-8,1.470287481314091e-8,1.4651452067523463e-8,1.4600209491378674e-8,1.4549146452196632e-8,1.4498262319692874e-8,1.444755646580053e-8,1.439702826466249e-8,1.4346677092623601e-8,1.4296502328222932e-8,1.4246503352186012e-8,1.4196679547417111e-8,1.4147030298991581e-8,1.4097554994148174e-8,1.404825302228143e-8,1.3999123774934077e-8,1.395016664578937e-8,1.3901381030663778e-8,1.3852766327499156e-8,1.3804321936355436e-8,1.3756047259403116e-8,1.3707941700915809e-8,1.3660004667262833e-8,1.361223556690182e-8,1.3564633810371351e-8,1.3517198810283624e-8,1.3469929981317117e-8,1.3422826740209326e-8,1.337588850574951e-8,1.3329114698771423e-8,1.3282504742146126e-8,1.323605806077477e-8,1.3189774081581586e-8,1.3143652233506514e-8,1.309769194749825e-8,1.3051892656507117e-8,1.3006253795478037e-8,1.2960774801343458e-8,1.2915455113016395e-8,1.2870294171383386e-8,1.2825291419297575e-8,1.2780446301571773e-8,1.2735758264971535e-8,1.2691226758208291e-8,1.2646851231932468e-8,1.2602631138726666e-8,1.25585659330988e-8,1.2514655071475481e-8,1.2470898012194997e-8,1.2427294215500738e-8,1.2383843143534436e-8,1.2340544260329495e-8,1.2297397031804292e-8,1.2254400925755541e-8,1.2211555411851668e-8,1.2168859961626246e-8,1.2126314048471358e-8,1.2083917147631099e-8,1.2041668736195008e-8,1.1999568293091592e-8,1.1957615299081841e-8,1.1915809236752694e-8,1.1874149590510808e-8,1.1832635846575874e-8,1.1791267492974382e-8,1.1750044019533237e-8,1.1708964917873404e-8,1.1668029681403554e-8,1.1627237805313805e-8,1.1586588786569423e-8,1.1546082123904566e-8,1.150571731781603e-8,1.1465493870557081e-8,1.1425411286131219e-8,1.1385469070286028e-8,1.1345666730507037e-8,1.1306003776011534e-8,1.1266479717742636e-8,1.1227094068362961e-8,1.1187846342248736e-8,1.1148736055483692e-8,1.1109762725853075e-8,1.1070925872837648e-8,1.103222501760768e-8,1.0993659683017037e-8,1.0955229393597207e-8,1.0916933675551428e-8,1.0878772056748765e-8,1.0840744066718243e-8,1.0802849236643022e-8,1.0765087099354523e-8,1.072745718932663e-8,1.0689959042670018e-8,1.065259219712617e-8,1.0615356192061775e-8,1.0578250568462989e-8,1.0541274868929683e-8,1.0504428637669792e-8,1.046771142049364e-8,1.0431122764808271e-8,1.0394662219611865e-8,1.0358329335488091e-8,1.0322123664600535e-8,1.0286044760687149e-8,1.0250092179054664e-8,1.021426547657311e-8,1.0178564211670223e-8,1.014298794432614e-8,1.01075362360677e-8,1.0072208649963111e-8,1.003700475061653e-8,1.000192410416262e-8,9.966966278261158e-9,9.93213084209168e-9,9.897417366348099e-9,9.862825423233397e-9,9.828354586454286e-9,9.794004431215922e-9,9.759774534216629e-9,9.725664473642616e-9,9.691673829162764e-9,9.657802181923343e-9,9.624049114542962e-9,9.590414211107174e-9,9.556897057163422e-9,9.52349723971589e-9,9.490214347220335e-9,9.457047969579016e-9,9.423997698135543e-9,9.391063125669843e-9,9.358243846393096e-9,9.325539455942664e-9,9.29294955137709e-9,9.260473731171104e-9,9.22811159521059e-9,9.195862744787652e-9,9.163726782595628e-9,9.131703312724256e-9,9.099791940654587e-9,9.067992273254202e-9,9.036303918772296e-9,9.004726486834812e-9,8.973259588439587e-9,8.94190283595153e-9,8.910655843097805e-9,8.879518224963012e-9,8.848489597984439e-9,8.817569579947264e-9,8.786757789979832e-9,8.756053848548917e-9,8.725457377454996e-9,8.69496799982754e-9,8.664585340120444e-9,8.634309024107174e-9,8.604138678876246e-9,8.574073932826573e-9,8.544114415662837e-9,8.514259758390905e-9,8.484509593313218e-9,8.45486355402426e-9,8.425321275405984e-9,8.395882393623273e-9,8.366546546119441e-9,8.33731337161174e-9,8.308182510086817e-9,8.279153602796307e-9,8.250226292252327e-9,8.221400222223132e-9,8.192675037728546e-9,8.164050385035655e-9,8.135525911654391e-9,8.107101266333154e-9,8.07877609905445e-9,8.050550061030553e-9,8.022422804699147e-9,7.994393983719044e-9,7.96646325296588e-9,7.9386302685278e-9,7.910894687701222e-9,7.883256168986564e-9,7.85571437208401e-9,7.828268957889255e-9,7.800919588489412e-9,7.773665927158644e-9,7.7465076383541e-9,7.719444387711711e-9,7.692475842042057e-9,7.665601669326213e-9,7.638821538711646e-9,7.612135120508091e-9,7.585542086183469e-9,7.559042108359797e-9,7.532634860809148e-9,7.506320018449574e-9,7.480097257341096e-9,7.453966254681662e-9,7.427926688803121e-9,7.401978239167352e-9,7.376120586362105e-9,7.350353412097157e-9,7.324676399200317e-9,7.299089231613523e-9,7.273591594388883e-9,7.248183173684788e-9,7.222863656762016e-9,7.197632731979845e-9,7.172490088792186e-9,7.147435417743728e-9,7.122468410466113e-9,7.097588759674089e-9,7.072796159161706e-9,7.048090303798489e-9,7.023470889525771e-9,6.998937613352727e-9,6.974490173352763e-9,6.950128268659708e-9,6.925851599464111e-9,6.901659867009492e-9,6.877552773588655e-9,6.853530022539991e-9,6.829591318243796e-9,6.8057363661186046e-9,6.781964872617522e-9,6.758276545224602e-9,6.7346710924512215e-9,6.711148223832431e-9,6.6877076499233645e-9,6.664349082295728e-9,6.641072233534078e-9,6.617876817232356e-9,6.594762547990301e-9,6.5717291414099284e-9,6.5487763140919915e-9,6.52590378363246e-9,6.503111268619025e-9,6.480398488627612e-9,6.4577651642188975e-9,6.435211016934842e-9,6.412735769295239e-9,6.39033914479427e-9,6.368020867897081e-9,6.345780664036346e-9,6.323618259608933e-9,6.301533381972396e-9,6.279525759441676e-9,6.257595121285708e-9,6.235741197724068e-9,6.213963719923622e-9,6.192262419995197e-9,6.170637030990256e-9,6.14908728689759e-9,6.127612922640017e-9,6.106213674071098e-9,6.084889277971862e-9,6.063639472047535e-9,6.0424639949243e-9,6.021362586146022e-9,6.000334986171113e-9,5.979380936369188e-9,5.958500179017929e-9,5.9376924572998875e-9,5.916957515299287e-9,5.8962950979988525e-9,5.875704951276658e-9,5.855186821902962e-9,5.8347404575370784e-9,5.814365606724249e-9,5.794062018892514e-9,5.773829444349623e-9,5.753667634279924e-9,5.733576340741288e-9,5.713555316662018e-9,5.693604315837857e-9,5.673723092928826e-9,5.6539114034562456e-9,5.63416900379972e-9,5.614495651194074e-9,5.594891103726381e-9,5.575355120332939e-9,5.555887460796301e-9,5.5364878857422814e-9,5.517156156637004e-9,5.4978920357839385e-9,5.478695286320952e-9,5.459565672217383e-9,5.440502958271105e-9,5.421506910105598e-9,5.402577294167125e-9,5.383713877721709e-9,5.364916428852347e-9,5.346184716456097e-9,5.327518510241223e-9,5.30891758072434e-9,5.290381699227568e-9,5.27191063787571e-9,5.2535041695934075e-9,5.2351620681023445e-9,5.216884107918445e-9,5.198670064349059e-9,5.1805197134901976e-9,5.16243283222376e-9,5.144409198214729e-9,5.126448589908519e-9,5.108550786528097e-9,5.090715568071332e-9,5.072942715308259e-9,5.055232009778334e-9,5.0375832337877676e-9,5.019996170406788e-9,5.002470603466994e-9,4.985006317558637e-9,4.967603098027984e-9,4.9502607309746425e-9,4.932979003248914e-9,4.915757702449154e-9,4.898596616919145e-9,4.881495535745451e-9,4.864454248754875e-9,4.847472546511758e-9,4.83055022031545e-9,4.813687062197707e-9,4.796882864920111e-9,4.780137421971519e-9,4.763450527565485e-9,4.746821976637726e-9,4.730251564843576e-9,4.713739088555452e-9,4.697284344860347e-9,4.6808871315572955e-9,4.664547247154886e-9,4.648264490868763e-9,4.632038662619115e-9,4.615869563028273e-9,4.59975699341814e-9,4.583700755807793e-9,4.567700652911015e-9,4.55175648813386e-9,4.53586806557221e-9,4.520035190009356e-9,4.504257666913572e-9,4.488535302435711e-9,4.47286790340681e-9,4.457255277335691e-9,4.441697232406585e-9,4.4261935774767445e-9,4.41074412207409e-9,4.395348676394827e-9,4.380007051301167e-9,4.364719058318888e-9,4.3494845096350605e-9,4.3343032180957124e-9,4.3191749972035075e-9,4.3040996611154375e-9,4.289077024640526e-9,4.274106903237533e-9,4.259189113012664e-9,4.244323470717306e-9,4.229509793745751e-9,4.214747900132936e-9,4.200037608552195e-9,4.185378738313007e-9,4.170771109358754e-9,4.156214542264544e-9,4.141708858234906e-9,4.127253879101632e-9,4.1128494273215615e-9,4.0984953259743816e-9,4.084191398760438e-9,4.069937469998553e-9,4.055733364623847e-9,4.0415789081855805e-9,4.02747392684499e-9,4.0134182473731385e-9,3.999411697148766e-9,3.985454104156157e-9,3.971545296983024e-9,3.9576851048183414e-9,3.943873357450327e-9,3.930109885264219e-9,3.916394519240251e-9,3.902727090951539e-9,3.889107432562002e-9,3.875535376824282e-9,3.8620107570776785e-9,3.8485334072460786e-9,3.835103161835913e-9,3.821719855934094e-9,3.808383325205993e-9,3.795093405893391e-9,3.781849934812465e-9,3.768652749351755e-9,3.755501687470157e-9,3.742396587694957e-9,3.7293372891197566e-9,3.7163236314025394e-9,3.7033554547636745e-9,3.690432599983931e-9,3.6775549084025216e-9,3.664722221915127e-9,3.65193438297195e-9,3.639191234575762e-9,3.6264926202799593e-9,3.6138383841866343e-9,3.60122837094464e-9,3.5886624257476685e-9,3.5761403943323443e-9,3.5636621229762997e-9,3.551227458496314e-9,3.5388362482463616e-9,3.5264883401157572e-9,3.514183582527273e-9,3.501921824435257e-9,3.489702915323774e-9,3.4775267052047315e-9,3.4653930446160343e-9,3.4533017846197323e-9,3.4412527768001823e-9,3.429245873262207e-9,3.417280926629267e-9,3.405357790041645e-9,3.393476317154618e-9,3.381636362136647e-9,3.3698377796676194e-9,3.3580804249369707e-9,3.34636415364195e-9,3.334688821985827e-9,3.3230542866761053e-9,3.311460404922753e-9,3.299907034436444e-9,3.2883940334267893e-9,3.276921260600587e-9,3.265488575160079e-9,3.254095836801207e-9,3.2427429057118745e-9,3.2314296425702267e-9,3.2201559085429205e-9,3.208921565283398e-9,3.1977264749302257e-9,3.186570500105316e-9,3.175453503912284e-9,3.164375349934726e-9,3.153335902234555e-9,3.142335025350304e-9,3.131372584295459e-9,3.120448444556785e-9,3.1095624720926687e-9,3.0987145333314617e-9,3.087904495169821e-9,3.0771322249710764e-9,3.0663975905635787e-9,3.0557004602390756e-9,3.0450407027510645e-9,3.0344181873132247e-9,3.0238327835977206e-9,3.0132843617336508e-9,3.0027727923054196e-9,2.99229794635114e-9,2.9818596953610456e-9,2.9714579112758988e-9,2.9610924664854066e-9,2.950763233826642e-9,2.940470086582479e-9,2.9302128984800218e-9,2.9199915436890438e-9,2.9098058968204334e-9,2.8996558329246494e-9,2.8895412274901577e-9,2.8794619564419413e-9,2.8694178961399017e-9,2.859408923377372e-9,2.8494349153795856e-9,2.83949574980216e-9,2.829591304729582e-9,2.8197214586737037e-9,2.809886090572241e-9,2.8000850797872764e-9,2.790318306103771e-9,2.7805856497280764e-9,2.770886991286458e-9,2.7612222118236134e-9,2.751591192801212e-9,2.7419938160964156e-9,2.732429964000455e-9,2.7228995192171225e-9,2.7134023648613623e-9,2.703938384457811e-9,2.6945074619393633e-9,2.6851094816457393e-9,2.6757443283220506e-9,2.6664118871173774e-9,2.6571120435833585e-9,2.647844683672764e-9,2.638609693738096e-9,2.6294069605301823e-9,2.620236371196776e-9,2.6110978132811614e-9,2.6019911747207595e-9,2.5929163438457786e-9,2.5838732093777767e-9,2.574861660428327e-9,2.5658815864976396e-9,2.556932877473196e-9,2.548015423628386e-9,2.5391291156211568e-9,2.530273844492664e-9,2.521449501665918e-9,2.51265597894445e-9,2.5038931685109748e-9,2.495160962926055e-9,2.4864592551267847e-9,2.477787938425449e-9,2.469146906508218e-9,2.4605360534338565e-9,2.4519552736323628e-9,2.4434044619037116e-9,2.4348835134165313e-9,2.4263923237068196e-9,2.4179307886766485e-9,2.409498804592884e-9,2.4010962680858987e-9,2.392723076148299e-9,2.384379126133657e-9,2.376064315755234e-9,2.3677785430847252e-9,2.359521706551e-9,2.3512937049388407e-9,2.3430944373876982e-9,2.334923803390466e-9,2.326781702792202e-9,2.318668035788912e-9,2.3105827029263195e-9,2.3025256050986347e-9,2.2944966435473308e-9,2.286495719859924e-9,2.2785227359687575e-9,2.2705775941497993e-9,2.2626601970214217e-9,2.2547704475432117e-9,2.246908249014765e-9,2.239073505074497e-9,2.231266119698453e-9,2.2234859971991103e-9,2.2157330422242374e-9,2.2080071597556594e-9,2.2003082551081233e-9,2.19263623392812e-9,2.1849910021927233e-9,2.1773724662084174e-9,2.1697805326099554e-9,2.162215108359199e-9,2.1546761007439702e-9,2.1471634173769083e-9,2.1396769661943316e-9,2.132216655455096e-9,2.1247823937394717e-9,2.1173740899480025e-9,2.1099916533003867e-9,2.102634993334376e-9,2.0953040199046233e-9,2.087998643181595e-9,2.080718773650454e-9,2.0734643221099585e-9,2.0662351996713597e-9,2.0590313177573063e-9,2.051852588100748e-9,2.044698922743852e-9,2.0375702340369094e-9,2.0304664346372634e-9,2.0233874375082228e-9,2.0163331559179946e-9,2.00930350343861e-9,2.0022983939448538e-9,1.995317741613226e-9,1.9883614609208462e-9,1.981429466644419e-9,1.9745216738591844e-9,1.967637997937862e-9,1.9607783545496144e-9,1.9539426596589988e-9,1.947130829524936e-9,1.940342780699677e-9,1.9335784300277714e-9,1.9268376946450408e-9,1.9201204919775594e-9,1.9134267397406347e-9,1.9067563559377905e-9,1.900109258859751e-9,1.8934853670834585e-9,1.886884599471029e-9,1.8803068751687787e-9,1.8737521136062165e-9,1.8672202344950584e-9,1.860711157828227e-9,1.8542248038788721e-9,1.8477610931993842e-9,1.8413199466204159e-9,1.834901285249903e-9,1.8285050304720944e-9,1.8221311039465808e-9,1.8157794276073297e-9,1.8094499236617208e-9,1.8031425145895815e-9,1.7968571231422566e-9,1.7905936723416157e-9,1.7843520854791322e-9,1.7781322861149283e-9,1.771934198076832e-9,1.7657577454594423e-9,1.759602852623186e-9,1.7534694441933916e-9,1.7473574450593555e-9,1.74126678037342e-9,1.7351973755500426e-9,1.7291491562648847e-9,1.7231220484538935e-9,1.7171159783123762e-9,1.7111308722941232e-9,1.7051666571104582e-9,1.699223259729363e-9,1.6933006073745674e-9,1.6873986275246532e-9,1.6815172479121642e-9,1.675656396522707e-9,1.6698160015940712e-9,1.663995991615338e-9,1.6581962953260046e-9,1.6524168417151002e-9,1.6466575600203144e-9,1.640918379727124e-9,1.6351992305679207e-9,1.6295000425211435e-9,1.6238207458104362e-9,1.618161270903753e-9,1.6125215485125241e-9,1.6069015095907956e-9,1.6013010853343801e-9,1.5957202071800059e-9,1.5901588068044748e-9,1.5846168161238167e-9,1.5790941672924533e-9,1.57359079270236e-9,1.5681066249822312e-9,1.5626415969966573e-9,1.5571956418452842e-9,1.5517686928620026e-9,1.546360683614111e-9,1.5409715479015228e-9,1.535601219755918e-9,1.5302496334399492e-9,1.5249167234464298e-9,1.5196024244975233e-9,1.5143066715439404e-9,1.5090293997641374e-9,1.5037705445635157e-9,1.498530041573629e-9,1.4933078266513867e-9,1.4881038358782647e-9,1.4829180055595182e-9,1.4777502722233965e-9,1.4726005726203607e-9,1.4674688437222988e-9,1.4623550227217706e-9,1.4572590470312021e-9,1.4521808542821342e-9,1.4471203823244502e-9,1.4420775692256113e-9,1.4370523532698897e-9,1.4320446729576102e-9,1.4270544670043948e-9,1.4220816743404035e-9,1.417126234109584e-9,1.4121880856689212e-9,1.4072671685876926e-9,1.4023634226467183e-9,1.3974767878376241e-9,1.3926072043620966e-9,1.3877546126311635e-9,1.3829189532644312e-9,1.378100167089375e-9,1.3732981951406018e-9,1.3685129786591265e-9,1.363744459091647e-9,1.3589925780898212e-9,1.3542572775095508e-9,1.3495384994102664e-9,1.3448361860542081e-9,1.340150279905719e-9,1.3354807236305358e-9,1.3308274600950814e-9,1.32619043236576e-9,1.3215695837082557e-9,1.316964857586847e-9,1.3123761976636863e-9,1.3078035477981222e-9,1.303246852046005e-9,1.2987060546589965e-9,1.2941811000838835e-9,1.289671932961895e-9,1.285178498128019e-9,1.280700740610322e-9,1.2762386056292758e-9,1.2717920385970773e-9,1.2673609851169826e-9,1.2629453909826316e-9,1.2585452021773829e-9,1.2541603648736442e-9,1.2497908254322266e-9,1.2454365304016589e-9,1.2410974265175435e-9,1.2367734607019004e-9,1.2324645800625107e-9,1.2281707318922655e-9,1.2238918636685198e-9,1.21962792305244e-9,1.2153788578883676e-9,1.2111446162031673e-9,1.2069251462055945e-9,1.2027203962856562e-9,1.1985303150139713e-9,1.1943548511411432e-9,1.1901939535971204e-9,1.186047571490588e-9,1.181915654108311e-9,1.1777981509145313e-9,1.1736950115503392e-9,1.169606185833055e-9,1.1655316237556076e-9,1.1614712754859226e-9,1.157425091366308e-9,1.1533930219128416e-9,1.149375017814762e-9,1.1453710299338634e-9,1.1413810093038872e-9,1.1374049071299231e-9,1.1334426747878065e-9,1.1294942638235147e-9,1.1255596259525897e-9,1.1216387130595166e-9,1.117731477197149e-9,1.1138378705861143e-9,1.1099578456142258e-9,1.106091354835897e-9,1.1022383509715563e-9,1.0983987869070663e-9,1.0945726156931443e-9,1.090759790544782e-9,1.0869602648406722e-9,1.0831739921226336e-9,1.0794009260950406e-9,1.075641020624251e-9,1.0718942297380362e-9,1.0681605076250306e-9,1.064439808634144e-9,1.060732087274014e-9,1.0570372982124479e-9,1.0533553962758564e-9,1.0496863364487051e-9,1.0460300738729552e-9,1.042386563847515e-9,1.0387557618276888e-9,1.0351376234246265e-9,1.0315321044047817e-9,1.0279391606893639e-9,1.0243587483537962e-9,1.0207908236271767e-9,1.0172353428917358e-9,1.0136922626823126e-9,1.0101615396857998e-9,1.006643130740624e-9,1.003136992836212e-9,9.996430831124618e-10,9.96161358859214e-10,9.926917775157263e-10,9.892342966701522e-10,9.857888740590167e-10,9.823554675666968e-10,9.789340352249035e-10,9.755245352121658e-10,9.72126925853318e-10,9.687411656189807e-10,9.65367213125054e-10,9.620050271322178e-10,9.586545665454054e-10,9.553157904133097e-10,9.519886579278786e-10,9.48673128423812e-10,9.453691613780604e-10,9.420767164093274e-10,9.38795753277574e-10,9.35526231883521e-10,9.322681122681586e-10,9.290213546122523e-10,9.257859192358552e-10,9.225617665978183e-10,9.193488572953057e-10,9.161471520633044e-10,9.129566117741576e-10,9.097771974370606e-10,9.06608870197596e-10,9.034515913372527e-10,9.003053222729487e-10,8.971700245565584e-10,8.940456598744361e-10,8.909321900469489e-10,8.878295770280051e-10,8.847377829045859e-10,8.816567698962805e-10,8.785865003548197e-10,8.755269367636152e-10,8.724780417372963e-10,8.694397780212472e-10,8.664121084911621e-10,8.633949961525703e-10,8.60388404140392e-10,8.57392295718484e-10,8.54406634279186e-10,8.514313833428712e-10,8.484665065574989e-10,8.455119676981656e-10,8.425677306666609e-10,8.39633759491022e-10,8.367100183250942e-10,8.33796471448087e-10,8.308930832641369e-10,8.279998183018699e-10,8.251166412139598e-10,8.222435167767097e-10,8.193804098895965e-10,8.165272855748547e-10,8.136841089770422e-10,8.108508453626114e-10,8.080274601194824e-10,8.052139187566172e-10,8.024101869035971e-10,7.99616230310198e-10,7.968320148459709e-10,7.940575064998218e-10,7.912926713795927e-10,7.88537475711648e-10,7.857918858404545e-10,7.830558682281696e-10,7.803293894542366e-10,7.776124162149606e-10,7.749049153231057e-10,7.722068537074893e-10,7.695181984125713e-10,7.668389165980525e-10,7.641689755384679e-10,7.615083426227872e-10,7.588569853540109e-10,7.562148713487742e-10,7.535819683369466e-10,7.50958244161236e-10,7.483436667767932e-10,7.457382042508188e-10,7.431418247621678e-10,7.405544966009683e-10,7.379761881682163e-10,7.354068679753988e-10,7.328465046441028e-10,7.302950669056309e-10,7.277525236006157e-10,7.252188436786388e-10,7.226939961978462e-10,7.201779503245716e-10,7.176706753329545e-10,7.151721406045652e-10,7.126823156280252e-10,7.102011699986362e-10,7.077286734180039e-10,7.052647956936628e-10,7.028095067387178e-10,7.003627765714565e-10,6.979245753149929e-10,6.954948731968974e-10,6.930736405488293e-10,6.906608478061755e-10,6.882564655076838e-10,6.858604642951025e-10,6.834728149128206e-10,6.810934882075065e-10,6.787224551277508e-10,6.763596867237096e-10,6.74005154146748e-10,6.71658828649086e-10,6.69320681583444e-10,6.669906844026982e-10,6.646688086595172e-10,6.623550260060224e-10,6.60049308193435e-10,6.577516270717319e-10,6.554619545892978e-10,6.531802627925818e-10,6.50906523825753e-10,6.486407099303589e-10,6.46382793444985e-10,6.441327468049134e-10,6.418905425417855e-10,6.396561532832646e-10,6.374295517526984e-10,6.352107107687828e-10,6.329996032452373e-10,6.30796202190458e-10,6.28600480707195e-10,6.264124119922202e-10,6.242319693359987e-10,6.220591261223585e-10,6.198938558281665e-10,6.177361320230006e-10,6.155859283688264e-10,6.13443218619672e-10,6.113079766213082e-10,6.091801763109248e-10,6.07059791716812e-10,6.049467969580405e-10,6.028411662441428e-10,6.007428738748034e-10,5.986518942395318e-10,5.965682018173557e-10,5.944917711765051e-10,5.924225769741012e-10,5.903605939558441e-10,5.883057969557038e-10],"x":[3.0,3.0033986405437827,3.006797281087565,3.0101959216313476,3.01359456217513,3.0169932027189126,3.020391843262695,3.0237904838064775,3.0271891243502598,3.0305877648940425,3.0339864054378247,3.0373850459816074,3.0407836865253897,3.0441823270691724,3.0475809676129546,3.0509796081567373,3.05437824870052,3.0577768892443022,3.061175529788085,3.064574170331867,3.06797281087565,3.071371451419432,3.074770091963215,3.078168732506997,3.0815673730507798,3.084966013594562,3.0883646541383447,3.091763294682127,3.0951619352259097,3.098560575769692,3.1019592163134746,3.1053578568572573,3.1087564974010395,3.1121551379448222,3.1155537784886045,3.118952419032387,3.1223510595761694,3.125749700119952,3.1291483406637344,3.132546981207517,3.1359456217512993,3.139344262295082,3.1427429028388643,3.146141543382647,3.1495401839264296,3.152938824470212,3.1563374650139946,3.159736105557777,3.1631347461015595,3.166533386645342,3.1699320271891245,3.1733306677329067,3.1767293082766894,3.1801279488204717,3.1835265893642544,3.1869252299080366,3.1903238704518193,3.1937225109956016,3.1971211515393843,3.200519792083167,3.203918432626949,3.207317073170732,3.210715713714514,3.214114354258297,3.217512994802079,3.220911635345862,3.224310275889644,3.2277089164334267,3.231107556977209,3.2345061975209917,3.237904838064774,3.2413034786085566,3.244702119152339,3.2481007596961216,3.2514994002399042,3.2548980407836865,3.258296681327469,3.2616953218712514,3.265093962415034,3.2684926029588164,3.271891243502599,3.2752898840463813,3.278688524590164,3.2820871651339463,3.285485805677729,3.288884446221511,3.292283086765294,3.295681727309076,3.299080367852859,3.3024790083966415,3.305877648940424,3.3092762894842065,3.3126749300279887,3.3160735705717714,3.3194722111155537,3.3228708516593364,3.3262694922031186,3.3296681327469013,3.3330667732906836,3.3364654138344663,3.3398640543782485,3.343262694922031,3.3466613354658135,3.350059976009596,3.353458616553379,3.356857257097161,3.360255897640944,3.363654538184726,3.3670531787285087,3.370451819272291,3.3738504598160737,3.377249100359856,3.3806477409036386,3.384046381447421,3.3874450219912036,3.390843662534986,3.3942423030787685,3.3976409436225508,3.4010395841663335,3.404438224710116,3.4078368652538984,3.411235505797681,3.4146341463414633,3.418032786885246,3.4214314274290283,3.424830067972811,3.4282287085165932,3.431627349060376,3.435025989604158,3.438424630147941,3.441823270691723,3.445221911235506,3.4486205517792885,3.4520191923230708,3.4554178328668534,3.4588164734106357,3.4622151139544184,3.4656137544982006,3.4690123950419833,3.4724110355857656,3.4758096761295483,3.4792083166733305,3.482606957217113,3.4860055977608955,3.489404238304678,3.4928028788484604,3.496201519392243,3.499600159936026,3.502998800479808,3.5063974410235907,3.509796081567373,3.5131947221111557,3.516593362654938,3.5199920031987206,3.523390643742503,3.5267892842862856,3.530187924830068,3.5335865653738505,3.5369852059176328,3.5403838464614155,3.5437824870051977,3.5471811275489804,3.550579768092763,3.5539784086365453,3.557377049180328,3.5607756897241103,3.564174330267893,3.5675729708116752,3.570971611355458,3.57437025189924,3.577768892443023,3.581167532986805,3.584566173530588,3.58796481407437,3.5913634546181528,3.594762095161935,3.5981607357057177,3.6015593762495004,3.6049580167932826,3.6083566573370653,3.6117552978808476,3.6151539384246303,3.6185525789684125,3.6219512195121952,3.6253498600559775,3.62874850059976,3.6321471411435424,3.635545781687325,3.6389444222311074,3.64234306277489,3.6457417033186723,3.649140343862455,3.6525389844062377,3.65593762495002,3.6593362654938026,3.662734906037585,3.6661335465813676,3.66953218712515,3.6729308276689325,3.676329468212715,3.6797281087564975,3.6831267493002797,3.6865253898440624,3.6899240303878447,3.6933226709316274,3.69672131147541,3.7001199520191923,3.703518592562975,3.7069172331067572,3.71031587365054,3.713714514194322,3.717113154738105,3.720511795281887,3.72391043582567,3.727309076369452,3.7307077169132348,3.734106357457017,3.7375049980007997,3.740903638544582,3.7443022790883647,3.7477009196321474,3.7510995601759296,3.7544982007197123,3.7578968412634945,3.7612954818072772,3.7646941223510595,3.768092762894842,3.7714914034386244,3.774890043982407,3.7782886845261894,3.781687325069972,3.7850859656137543,3.788484606157537,3.7918832467013193,3.795281887245102,3.7986805277888847,3.802079168332667,3.8054778088764496,3.808876449420232,3.8122750899640145,3.815673730507797,3.8190723710515795,3.8224710115953617,3.8258696521391444,3.8292682926829267,3.8326669332267094,3.8360655737704916,3.8394642143142743,3.8428628548580566,3.8462614954018393,3.849660135945622,3.853058776489404,3.856457417033187,3.859856057576969,3.863254698120752,3.866653338664534,3.870051979208317,3.873450619752099,3.8768492602958817,3.880247900839664,3.8836465413834467,3.887045181927229,3.8904438224710116,3.893842463014794,3.8972411035585766,3.9006397441023593,3.9040383846461415,3.907437025189924,3.9108356657337064,3.914234306277489,3.9176329468212714,3.921031587365054,3.9244302279088363,3.927828868452619,3.9312275089964013,3.934626149540184,3.938024790083966,3.941423430627749,3.9448220711715316,3.948220711715314,3.9516193522590966,3.955017992802879,3.9584166333466615,3.9618152738904437,3.9652139144342264,3.9686125549780087,3.9720111955217914,3.9754098360655736,3.9788084766093563,3.9822071171531386,3.9856057576969213,3.9890043982407035,3.992403038784486,3.995801679328269,3.999200319872051,4.002598960415834,4.005997600959616,4.009396241503398,4.0127948820471815,4.016193522590964,4.019592163134746,4.022990803678528,4.026389444222311,4.029788084766094,4.033186725309876,4.036585365853658,4.039984006397441,4.0433826469412235,4.046781287485006,4.050179928028789,4.053578568572571,4.056977209116353,4.060375849660136,4.063774490203919,4.067173130747701,4.070571771291483,4.0739704118352655,4.077369052379049,4.080767692922831,4.084166333466613,4.087564974010395,4.090963614554179,4.094362255097961,4.097760895641743,4.101159536185526,4.1045581767293084,4.107956817273091,4.111355457816873,4.114754098360656,4.118152738904438,4.121551379448221,4.124950019992003,4.128348660535786,4.131747301079568,4.1351459416233505,4.138544582167133,4.141943222710916,4.145341863254698,4.14874050379848,4.1521391443422635,4.155537784886046,4.158936425429828,4.16233506597361,4.165733706517393,4.169132347061176,4.172530987604958,4.17592962814874,4.179328268692523,4.1827269092363055,4.186125549780088,4.18952419032387,4.192922830867653,4.196321471411435,4.199720111955218,4.203118752499001,4.206517393042783,4.209916033586565,4.2133146741303475,4.216713314674131,4.220111955217913,4.223510595761695,4.226909236305477,4.230307876849261,4.233706517393043,4.237105157936825,4.240503798480607,4.2439024390243905,4.247301079568173,4.250699720111955,4.254098360655738,4.25749700119952,4.260895641743303,4.264294282287085,4.267692922830868,4.27109156337465,4.2744902039184325,4.277888844462215,4.281287485005998,4.28468612554978,4.288084766093562,4.291483406637345,4.294882047181128,4.29828068772491,4.301679328268692,4.305077968812475,4.308476609356258,4.31187524990004,4.315273890443822,4.318672530987605,4.3220711715313875,4.32546981207517,4.328868452618952,4.332267093162735,4.335665733706517,4.3390643742503,4.342463014794083,4.345861655337865,4.349260295881647,4.35265893642543,4.356057576969213,4.359456217512995,4.362854858056777,4.3662534986005594,4.369652139144343,4.373050779688125,4.376449420231907,4.379848060775689,4.3832467013194725,4.386645341863255,4.390043982407037,4.39344262295082,4.396841263494602,4.400239904038385,4.403638544582167,4.40703718512595,4.410435825669732,4.4138344662135145,4.417233106757297,4.42063174730108,4.424030387844862,4.427429028388644,4.430827668932427,4.43422630947621,4.437624950019992,4.441023590563774,4.444422231107557,4.44782087165134,4.451219512195122,4.454618152738904,4.458016793282687,4.4614154338264695,4.464814074370252,4.468212714914034,4.471611355457817,4.475009996001599,4.478408636545382,4.481807277089164,4.485205917632947,4.488604558176729,4.492003198720512,4.495401839264295,4.498800479808077,4.502199120351859,4.5055977608956415,4.508996401439425,4.512395041983207,4.515793682526989,4.519192323070771,4.5225909636145545,4.525989604158337,4.529388244702119,4.532786885245901,4.536185525789684,4.539584166333467,4.542982806877249,4.546381447421032,4.549780087964814,4.5531787285085965,4.556577369052379,4.559976009596162,4.563374650139944,4.566773290683726,4.570171931227509,4.573570571771292,4.576969212315074,4.580367852858856,4.5837664934026385,4.587165133946422,4.590563774490204,4.593962415033986,4.597361055577769,4.600759696121552,4.604158336665334,4.607556977209116,4.610955617752899,4.614354258296681,4.617752898840464,4.621151539384246,4.624550179928029,4.627948820471811,4.631347461015594,4.634746101559376,4.638144742103159,4.641543382646941,4.6449420231907235,4.648340663734507,4.651739304278289,4.655137944822071,4.658536585365853,4.6619352259096365,4.665333866453419,4.668732506997201,4.672131147540983,4.675529788084766,4.678928428628549,4.682327069172331,4.685725709716113,4.689124350259896,4.6925229908036785,4.695921631347461,4.699320271891244,4.702718912435026,4.706117552978808,4.709516193522591,4.712914834066374,4.716313474610156,4.719712115153938,4.7231107556977205,4.726509396241504,4.729908036785286,4.733306677329068,4.73670531787285,4.740103958416634,4.743502598960416,4.746901239504198,4.750299880047981,4.7536985205917635,4.757097161135546,4.760495801679328,4.763894442223111,4.767293082766893,4.770691723310676,4.774090363854458,4.777489004398241,4.780887644942023,4.7842862854858055,4.787684926029588,4.791083566573371,4.794482207117153,4.797880847660935,4.8012794882047185,4.804678128748501,4.808076769292283,4.811475409836065,4.814874050379848,4.818272690923631,4.821671331467413,4.825069972011195,4.828468612554978,4.8318672530987605,4.835265893642543,4.838664534186325,4.842063174730108,4.84546181527389,4.848860455817673,4.852259096361456,4.855657736905238,4.85905637744902,4.8624550179928026,4.865853658536586,4.869252299080368,4.87265093962415,4.876049580167932,4.879448220711716,4.882846861255498,4.88624550179928,4.889644142343063,4.8930427828868455,4.896441423430628,4.89984006397441,4.903238704518193,4.906637345061975,4.910035985605758,4.91343462614954,4.916833266693323,4.920231907237105,4.9236305477808875,4.92702918832467,4.930427828868453,4.933826469412235,4.937225109956017,4.9406237504998005,4.944022391043583,4.947421031587365,4.950819672131147,4.95421831267493,4.957616953218713,4.961015593762495,4.964414234306277,4.96781287485006,4.9712115153938425,4.974610155937625,4.978008796481407,4.98140743702519,4.984806077568972,4.988204718112755,4.991603358656538,4.99500199920032,4.998400639744102,5.001799280287885,5.005197920831668,5.00859656137545,5.011995201919232,5.0153938424630145,5.018792483006798,5.02219112355058,5.025589764094362,5.028988404638144,5.0323870451819275,5.03578568572571,5.039184326269492,5.042582966813275,5.045981607357057,5.04938024790084,5.052778888444622,5.056177528988405,5.059576169532187,5.0629748100759695,5.066373450619752,5.069772091163535,5.073170731707317,5.076569372251099,5.079968012794882,5.083366653338665,5.086765293882447,5.090163934426229,5.093562574970012,5.096961215513795,5.100359856057577,5.103758496601359,5.107157137145142,5.1105557776889246,5.113954418232707,5.117353058776489,5.120751699320272,5.124150339864054,5.127548980407837,5.130947620951619,5.134346261495402,5.137744902039184,5.141143542582967,5.14454218312675,5.147940823670532,5.151339464214314,5.1547381047580965,5.15813674530188,5.161535385845662,5.164934026389444,5.168332666933226,5.1717313074770095,5.175129948020792,5.178528588564574,5.181927229108356,5.185325869652139,5.188724510195922,5.192123150739704,5.195521791283487,5.198920431827269,5.2023190723710515,5.205717712914834,5.209116353458617,5.212514994002399,5.215913634546181,5.219312275089964,5.222710915633747,5.226109556177529,5.229508196721311,5.2329068372650935,5.236305477808877,5.239704118352659,5.243102758896441,5.246501399440224,5.249900039984007,5.253298680527789,5.256697321071571,5.260095961615354,5.2634946021591364,5.266893242702919,5.270291883246701,5.273690523790484,5.277089164334266,5.280487804878049,5.283886445421831,5.287285085965614,5.290683726509396,5.2940823670531785,5.297481007596962,5.300879648140744,5.304278288684526,5.307676929228308,5.3110755697720915,5.314474210315874,5.317872850859656,5.321271491403438,5.324670131947221,5.328068772491004,5.331467413034786,5.334866053578568,5.338264694122351,5.3416633346661335,5.345061975209916,5.348460615753699,5.351859256297481,5.355257896841263,5.358656537385046,5.362055177928829,5.365453818472611,5.368852459016393,5.3722510995601755,5.375649740103959,5.379048380647741,5.382447021191523,5.385845661735305,5.389244302279089,5.392642942822871,5.396041583366653,5.399440223910436,5.4028388644542185,5.406237504998001,5.409636145541783,5.413034786085566,5.416433426629348,5.419832067173131,5.423230707716913,5.426629348260696,5.430027988804478,5.4334266293482605,5.436825269892044,5.440223910435826,5.443622550979608,5.44702119152339,5.4504198320671735,5.453818472610956,5.457217113154738,5.46061575369852,5.464014394242303,5.467413034786086,5.470811675329868,5.47421031587365,5.477608956417433,5.4810075969612155,5.484406237504998,5.487804878048781,5.491203518592563,5.494602159136345,5.498000799680128,5.501399440223911,5.504798080767693,5.508196721311475,5.511595361855258,5.514994002399041,5.518392642942823,5.521791283486605,5.5251899240303874,5.528588564574171,5.531987205117953,5.535385845661735,5.538784486205518,5.5421831267493005,5.545581767293083,5.548980407836865,5.552379048380648,5.55577768892443,5.559176329468213,5.562574970011995,5.565973610555778,5.56937225109956,5.5727708916433425,5.576169532187125,5.579568172730908,5.58296681327469,5.586365453818472,5.5897640943622555,5.593162734906038,5.59656137544982,5.599960015993602,5.603358656537385,5.606757297081168,5.61015593762495,5.613554578168732,5.616953218712515,5.6203518592562975,5.62375049980008,5.627149140343862,5.630547780887645,5.633946421431427,5.63734506197521,5.640743702518993,5.644142343062775,5.647540983606557,5.65093962415034,5.654338264694123,5.657736905237905,5.661135545781687,5.6645341863254695,5.667932826869253,5.671331467413035,5.674730107956817,5.678128748500599,5.6815273890443825,5.684926029588165,5.688324670131947,5.69172331067573,5.695121951219512,5.698520591763295,5.701919232307077,5.70531787285086,5.708716513394642,5.7121151539384245,5.715513794482207,5.71891243502599,5.722311075569772,5.725709716113554,5.729108356657337,5.73250699720112,5.735905637744902,5.739304278288684,5.742702918832467,5.74610155937625,5.749500199920032,5.752898840463814,5.756297481007597,5.7596961215513796,5.763094762095162,5.766493402638944,5.769892043182727,5.773290683726509,5.776689324270292,5.780087964814074,5.783486605357857,5.786885245901639,5.790283886445422,5.793682526989205,5.797081167532987,5.800479808076769,5.8038784486205515,5.807277089164335,5.810675729708117,5.814074370251899,5.817473010795681,5.8208716513394645,5.824270291883247,5.827668932427029,5.831067572970811,5.834466213514594,5.837864854058377,5.841263494602159,5.844662135145942,5.848060775689724,5.8514594162335065,5.854858056777289,5.858256697321072,5.861655337864854,5.865053978408636,5.868452618952419,5.871851259496202,5.875249900039984,5.878648540583766,5.8820471811275485,5.885445821671332,5.888844462215114,5.892243102758896,5.895641743302679,5.899040383846462,5.902439024390244,5.905837664934026,5.909236305477809,5.9126349460215915,5.916033586565374,5.919432227109156,5.922830867652939,5.926229508196721,5.929628148740504,5.933026789284287,5.936425429828069,5.939824070371851,5.9432227109156335,5.946621351459417,5.950019992003199,5.953418632546981,5.956817273090763,5.9602159136345465,5.963614554178329,5.967013194722111,5.970411835265893,5.973810475809676,5.977209116353459,5.980607756897241,5.984006397441024,5.987405037984806,5.9908036785285885,5.994202319072371,5.997600959616154,6.000999600159936,6.004398240703718,6.007796881247501,6.011195521791284,6.014594162335066,6.017992802878848,6.0213914434226306,6.024790083966414,6.028188724510196,6.031587365053978,6.034986005597761,6.038384646141544,6.041783286685326,6.045181927229108,6.048580567772891,6.0519792083166735,6.055377848860456,6.058776489404238,6.062175129948021,6.065573770491803,6.068972411035586,6.072371051579368,6.075769692123151,6.079168332666933,6.0825669732107155,6.085965613754499,6.089364254298281,6.092762894842063,6.096161535385845,6.0995601759296285,6.102958816473411,6.106357457017193,6.109756097560975,6.113154738104758,6.116553378648541,6.119952019192323,6.123350659736105,6.126749300279888,6.1301479408236705,6.133546581367453,6.136945221911236,6.140343862455018,6.1437425029988,6.147141143542583,6.150539784086366,6.153938424630148,6.15733706517393,6.160735705717713,6.164134346261496,6.167532986805278,6.17093162734906,6.1743302678928424,6.177728908436626,6.181127548980408,6.18452618952419,6.187924830067973,6.1913234706117555,6.194722111155538,6.19812075169932,6.201519392243103,6.204918032786885,6.208316673330668,6.21171531387445,6.215113954418233,6.218512594962015,6.2219112355057975,6.22530987604958,6.228708516593363,6.232107157137145,6.235505797680927,6.2389044382247105,6.242303078768493,6.245701719312275,6.249100359856057,6.25249900039984,6.255897640943623,6.259296281487405,6.262694922031187,6.26609356257497,6.2694922031187525,6.272890843662535,6.276289484206317,6.2796881247501,6.283086765293882,6.286485405837665,6.289884046381448,6.29328268692523,6.296681327469012,6.300079968012795,6.303478608556578,6.30687724910036,6.310275889644142,6.3136745301879245,6.317073170731708,6.32047181127549,6.323870451819272,6.327269092363054,6.3306677329068375,6.33406637345062,6.337465013994402,6.340863654538185,6.344262295081967,6.34766093562575,6.351059576169532,6.354458216713315,6.357856857257097,6.3612554978008795,6.364654138344662,6.368052778888445,6.371451419432227,6.374850059976009,6.378248700519792,6.381647341063575,6.385045981607357,6.388444622151139,6.391843262694922,6.395241903238705,6.398640543782487,6.402039184326269,6.405437824870052,6.408836465413835,6.412235105957617,6.415633746501399,6.419032387045182,6.4224310275889644,6.425829668132747,6.429228308676529,6.432626949220312,6.436025589764094,6.439424230307877,6.44282287085166,6.446221511395442,6.449620151939224,6.4530187924830065,6.45641743302679,6.459816073570572,6.463214714114354,6.466613354658136,6.4700119952019195,6.473410635745702,6.476809276289484,6.480207916833267,6.483606557377049,6.487005197920832,6.490403838464614,6.493802479008397,6.497201119552179,6.5005997600959615,6.503998400639744,6.507397041183527,6.510795681727309,6.514194322271091,6.517592962814874,6.520991603358657,6.524390243902439,6.527788884446221,6.531187524990004,6.534586165533787,6.537984806077569,6.541383446621351,6.544782087165134,6.548180727708917,6.551579368252699,6.554978008796481,6.558376649340264,6.5617752898840465,6.565173930427829,6.568572570971611,6.571971211515394,6.575369852059176,6.578768492602959,6.582167133146742,6.585565773690524,6.588964414234306,6.5923630547780885,6.595761695321872,6.599160335865654,6.602558976409436,6.605957616953218,6.6093562574970015,6.612754898040784,6.616153538584566,6.619552179128348,6.622950819672131,6.626349460215914,6.629748100759696,6.633146741303479,6.636545381847261,6.6399440223910435,6.643342662934826,6.646741303478609,6.650139944022391,6.653538584566173,6.656937225109956,6.660335865653739,6.663734506197521,6.667133146741303,6.670531787285086,6.673930427828869,6.677329068372651,6.680727708916433,6.684126349460216,6.687524990003999,6.690923630547781,6.694322271091563,6.697720911635346,6.7011195521791285,6.704518192722911,6.707916833266693,6.711315473810476,6.714714114354258,6.718112754898041,6.721511395441823,6.724910035985606,6.728308676529388,6.7317073170731705,6.735105957616954,6.738504598160736,6.741903238704518,6.7453018792483,6.7487005197920835,6.752099160335866,6.755497800879648,6.75889644142343,6.762295081967213,6.765693722510996,6.769092363054778,6.77249100359856,6.775889644142343,6.7792882846861255,6.782686925229908,6.786085565773691,6.789484206317473,6.792882846861255,6.796281487405038,6.799680127948821,6.803078768492603,6.806477409036385,6.809876049580168,6.813274690123951,6.816673330667733,6.820071971211515,6.8234706117552975,6.826869252299081,6.830267892842863,6.833666533386645,6.837065173930428,6.8404638144742105,6.843862455017993,6.847261095561775,6.850659736105558,6.85405837664934,6.857457017193123,6.860855657736905,6.864254298280688,6.86765293882447,6.8710515793682525,6.874450219912035,6.877848860455818,6.8812475009996,6.884646141543382,6.8880447820871655,6.891443422630948,6.89484206317473,6.898240703718512,6.901639344262295,6.905037984806078,6.90843662534986,6.911835265893642,6.915233906437425,6.9186325469812076,6.92203118752499,6.925429828068772,6.928828468612555,6.932227109156337,6.93562574970012,6.939024390243903,6.942423030787685,6.945821671331467,6.94922031187525,6.952618952419033,6.956017592962815,6.959416233506597,6.9628148740503795,6.966213514594163,6.969612155137945,6.973010795681727,6.976409436225509,6.9798080767692925,6.983206717313075,6.986605357856857,6.99000399840064,6.993402638944422,6.996801279488205,7.000199920031987,7.00359856057577,7.006997201119552,7.0103958416633345,7.013794482207117,7.0171931227509,7.020591763294682,7.023990403838464,7.0273890443822475,7.03078768492603,7.034186325469812,7.037584966013594,7.040983606557377,7.04438224710116,7.047780887644942,7.051179528188724,7.054578168732507,7.05797680927629,7.061375449820072,7.064774090363854,7.068172730907637,7.0715713714514195,7.074970011995202,7.078368652538985,7.081767293082767,7.085165933626549,7.088564574170332,7.091963214714115,7.095361855257897,7.098760495801679,7.1021591363454615,7.105557776889245,7.108956417433027,7.112355057976809,7.115753698520591,7.1191523390643745,7.122550979608157,7.125949620151939,7.129348260695722,7.132746901239504,7.136145541783287,7.139544182327069,7.142942822870852,7.146341463414634,7.1497401039584165,7.153138744502199,7.156537385045982,7.159936025589764,7.163334666133546,7.166733306677329,7.170131947221112,7.173530587764894,7.176929228308676,7.180327868852459,7.183726509396242,7.187125149940024,7.190523790483806,7.193922431027589,7.197321071571372,7.200719712115154,7.204118352658936,7.207516993202719,7.2109156337465015,7.214314274290284,7.217712914834066,7.221111555377849,7.224510195921631,7.227908836465414,7.231307477009197,7.234706117552979,7.238104758096761,7.2415033986405435,7.244902039184327,7.248300679728109,7.251699320271891,7.255097960815673,7.2584966013594565,7.261895241903239,7.265293882447021,7.268692522990803,7.272091163534586,7.275489804078369,7.278888444622151,7.282287085165934,7.285685725709716,7.2890843662534985,7.292483006797281,7.295881647341064,7.299280287884846,7.302678928428628,7.306077568972411,7.309476209516194,7.312874850059976,7.316273490603758,7.319672131147541,7.323070771691324,7.326469412235106,7.329868052778888,7.333266693322671,7.336665333866454,7.340063974410236,7.343462614954018,7.346861255497801,7.3502598960415835,7.353658536585366,7.357057177129148,7.360455817672931,7.363854458216713,7.367253098760496,7.370651739304278,7.374050379848061,7.377449020391843,7.3808476609356255,7.384246301479409,7.387644942023191,7.391043582566973,7.394442223110755,7.3978408636545385,7.401239504198321,7.404638144742103,7.408036785285885,7.411435425829668,7.414834066373451,7.418232706917233,7.421631347461015,7.425029988004798,7.4284286285485805,7.431827269092363,7.435225909636146,7.438624550179928,7.44202319072371,7.445421831267493,7.448820471811276,7.452219112355058,7.45561775289884,7.459016393442623,7.462415033986406,7.465813674530188,7.46921231507397,7.4726109556177525,7.476009596161536,7.479408236705318,7.4828068772491,7.486205517792883,7.4896041583366655,7.493002798880448,7.49640143942423,7.499800079968013,7.503198720511795,7.506597361055578,7.50999600159936,7.513394642143143,7.516793282686925,7.5201919232307075,7.523590563774491,7.526989204318273,7.530387844862055,7.533786485405837,7.5371851259496205,7.540583766493403,7.543982407037185,7.547381047580967,7.55077968812475,7.554178328668533,7.557576969212315,7.560975609756097,7.56437425029988,7.567772890843663,7.571171531387445,7.574570171931228,7.57796881247501,7.5813674530187924,7.584766093562575,7.588164734106358,7.59156337465014,7.594962015193922,7.598360655737705,7.601759296281488,7.60515793682527,7.608556577369052,7.6119552179128345,7.615353858456618,7.6187524990004,7.622151139544182,7.625549780087965,7.6289484206317475,7.63234706117553,7.635745701719312,7.639144342263095,7.642542982806877,7.64594162335066,7.649340263894442,7.652738904438225,7.656137544982007,7.6595361855257895,7.662934826069572,7.666333466613355,7.669732107157137,7.673130747700919,7.6765293882447025,7.679928028788485,7.683326669332267,7.686725309876049,7.690123950419832,7.693522590963615,7.696921231507397,7.700319872051179,7.703718512594962,7.707117153138745,7.710515793682527,7.713914434226309,7.717313074770092,7.7207117153138745,7.724110355857657,7.72750899640144,7.730907636945222,7.734306277489004,7.737704918032787,7.74110355857657,7.744502199120352,7.747900839664134,7.7512994802079165,7.7546981207517,7.758096761295482,7.761495401839264,7.764894042383046,7.7682926829268295,7.771691323470612,7.775089964014394,7.778488604558177,7.781887245101959,7.785285885645742,7.788684526189524,7.792083166733307,7.795481807277089,7.7988804478208715,7.802279088364654,7.805677728908437,7.809076369452219,7.812475009996001,7.815873650539784,7.819272291083567,7.822670931627349,7.826069572171131,7.829468212714914,7.832866853258697,7.836265493802479,7.839664134346261,7.843062774890044,7.846461415433827,7.849860055977609,7.853258696521391,7.856657337065174,7.8600559776089565,7.863454618152739,7.866853258696521,7.870251899240304,7.873650539784086,7.877049180327869,7.880447820871652,7.883846461415434,7.887245101959216,7.8906437425029985,7.894042383046782,7.897441023590564,7.900839664134346,7.904238304678128,7.9076369452219115,7.911035585765694,7.914434226309476,7.917832866853258,7.921231507397041,7.924630147940824,7.928028788484606,7.931427429028389,7.934826069572171,7.9382247101159535,7.941623350659736,7.945021991203519,7.948420631747301,7.951819272291083,7.955217912834866,7.958616553378649,7.962015193922431,7.965413834466213,7.968812475009996,7.972211115553779,7.975609756097561,7.979008396641343,7.982407037185126,7.985805677728909,7.989204318272691,7.992602958816473,7.996001599360256,7.9994002399040385,8.002798880447822,8.006197520991604,8.009596161535386,8.012994802079168,8.01639344262295,8.019792083166733,8.023190723710515,8.0265893642543,8.029988004798081,8.033386645341864,8.036785285885646,8.040183926429428,8.04358256697321,8.046981207516993,8.050379848060775,8.053778488604559,8.057177129148341,8.060575769692123,8.063974410235906,8.067373050779688,8.07077169132347,8.074170331867252,8.077568972411036,8.080967612954819,8.084366253498601,8.087764894042383,8.091163534586165,8.094562175129948,8.09796081567373,8.101359456217512,8.104758096761296,8.108156737305078,8.11155537784886,8.114954018392643,8.118352658936425,8.121751299480207,8.12514994002399,8.128548580567774,8.131947221111556,8.135345861655338,8.13874450219912,8.142143142742903,8.145541783286685,8.148940423830467,8.15233906437425,8.155737704918034,8.159136345461816,8.162534986005598,8.16593362654938,8.169332267093163,8.172730907636945,8.176129548180727,8.179528188724511,8.182926829268293,8.186325469812076,8.189724110355858,8.19312275089964,8.196521391443422,8.199920031987205,8.203318672530987,8.20671731307477,8.210115953618553,8.213514594162335,8.216913234706118,8.2203118752499,8.223710515793682,8.227109156337464,8.230507796881248,8.23390643742503,8.237305077968813,8.240703718512595,8.244102359056377,8.24750099960016,8.250899640143942,8.254298280687724,8.257696921231508,8.26109556177529,8.264494202319073,8.267892842862855,8.271291483406637,8.27469012395042,8.278088764494202,8.281487405037986,8.284886045581768,8.28828468612555,8.291683326669332,8.295081967213115,8.298480607756897,8.30187924830068,8.305277888844461,8.308676529388245,8.312075169932028,8.31547381047581,8.318872451019592,8.322271091563374,8.325669732107157,8.329068372650939,8.332467013194723,8.335865653738505,8.339264294282287,8.34266293482607,8.346061575369852,8.349460215913634,8.352858856457416,8.356257497001199,8.359656137544983,8.363054778088765,8.366453418632547,8.36985205917633,8.373250699720112,8.376649340263894,8.380047980807676,8.38344662135146,8.386845261895242,8.390243902439025,8.393642542982807,8.39704118352659,8.400439824070371,8.403838464614154,8.407237105157936,8.41063574570172,8.414034386245502,8.417433026789285,8.420831667333067,8.424230307876849,8.427628948420631,8.431027588964414,8.434426229508198,8.43782487005198,8.441223510595762,8.444622151139544,8.448020791683327,8.451419432227109,8.454818072770891,8.458216713314673,8.461615353858457,8.46501399440224,8.468412634946022,8.471811275489804,8.475209916033586,8.478608556577369,8.48200719712115,8.485405837664935,8.488804478208717,8.4922031187525,8.495601759296282,8.499000399840064,8.502399040383846,8.505797680927628,8.50919632147141,8.512594962015195,8.515993602558977,8.519392243102759,8.522790883646541,8.526189524190324,8.529588164734106,8.532986805277888,8.536385445821672,8.539784086365454,8.543182726909237,8.546581367453019,8.549980007996801,8.553378648540583,8.556777289084366,8.560175929628148,8.563574570171932,8.566973210715714,8.570371851259496,8.573770491803279,8.577169132347061,8.580567772890843,8.583966413434625,8.58736505397841,8.590763694522192,8.594162335065974,8.597560975609756,8.600959616153538,8.60435825669732,8.607756897241103,8.611155537784885,8.61455417832867,8.617952818872451,8.621351459416234,8.624750099960016,8.628148740503798,8.63154738104758,8.634946021591363,8.638344662135147,8.641743302678929,8.645141943222711,8.648540583766493,8.651939224310276,8.655337864854058,8.65873650539784,8.662135145941622,8.665533786485407,8.668932427029189,8.672331067572971,8.675729708116753,8.679128348660536,8.682526989204318,8.6859256297481,8.689324270291884,8.692722910835666,8.696121551379449,8.69952019192323,8.702918832467013,8.706317473010795,8.709716113554578,8.71311475409836,8.716513394642144,8.719912035185926,8.723310675729708,8.72670931627349,8.730107956817273,8.733506597361055,8.736905237904837,8.740303878448621,8.743702518992404,8.747101159536186,8.750499800079968,8.75389844062375,8.757297081167533,8.760695721711315,8.764094362255097,8.767493002798881,8.770891643342663,8.774290283886446,8.777688924430228,8.78108756497401,8.784486205517792,8.787884846061575,8.791283486605359,8.79468212714914,8.798080767692923,8.801479408236705,8.804878048780488,8.80827668932427,8.811675329868052,8.815073970411834,8.818472610955618,8.8218712514994,8.825269892043183,8.828668532586965,8.832067173130747,8.83546581367453,8.838864454218312,8.842263094762096,8.845661735305878,8.84906037584966,8.852459016393443,8.855857656937225,8.859256297481007,8.86265493802479,8.866053578568573,8.869452219112356,8.872850859656138,8.87624950019992,8.879648140743702,8.883046781287485,8.886445421831267,8.88984406237505,8.893242702918833,8.896641343462615,8.900039984006398,8.90343862455018,8.906837265093962,8.910235905637744,8.913634546181527,8.91703318672531,8.920431827269093,8.923830467812875,8.927229108356658,8.93062774890044,8.934026389444222,8.937425029988004,8.940823670531787,8.94422231107557,8.947620951619353,8.951019592163135,8.954418232706917,8.9578168732507,8.961215513794482,8.964614154338264,8.968012794882048,8.97141143542583,8.974810075969613,8.978208716513395,8.981607357057177,8.98500599760096,8.988404638144742,8.991803278688524,8.995201919232308,8.99860055977609,9.001999200319872,9.005397840863655,9.008796481407437,9.012195121951219,9.015593762495001,9.018992403038785,9.022391043582568,9.02578968412635,9.029188324670132,9.032586965213914,9.035985605757697,9.039384246301479,9.042782886845261,9.046181527389045,9.049580167932827,9.05297880847661,9.056377449020392,9.059776089564174,9.063174730107956,9.066573370651739,9.069972011195523,9.073370651739305,9.076769292283087,9.08016793282687,9.083566573370652,9.086965213914434,9.090363854458216,9.093762495001998,9.097161135545782,9.100559776089565,9.103958416633347,9.10735705717713,9.110755697720911,9.114154338264694,9.117552978808476,9.12095161935226,9.124350259896042,9.127748900439824,9.131147540983607,9.134546181527389,9.137944822071171,9.141343462614953,9.144742103158736,9.14814074370252,9.151539384246302,9.154938024790084,9.158336665333866,9.161735305877649,9.165133946421431,9.168532586965213,9.171931227508997,9.17532986805278,9.178728508596562,9.182127149140344,9.185525789684126,9.188924430227909,9.19232307077169,9.195721711315473,9.199120351859257,9.20251899240304,9.205917632946822,9.209316273490604,9.212714914034386,9.216113554578168,9.21951219512195,9.222910835665735,9.226309476209517,9.229708116753299,9.233106757297081,9.236505397840864,9.239904038384646,9.243302678928428,9.24670131947221,9.250099960015994,9.253498600559777,9.256897241103559,9.260295881647341,9.263694522191123,9.267093162734906,9.270491803278688,9.273890443822472,9.277289084366254,9.280687724910036,9.284086365453819,9.2874850059976,9.290883646541383,9.294282287085165,9.297680927628948,9.301079568172732,9.304478208716514,9.307876849260296,9.311275489804078,9.31467413034786,9.318072770891643,9.321471411435425,9.32487005197921,9.328268692522991,9.331667333066774,9.335065973610556,9.338464614154338,9.34186325469812,9.345261895241903,9.348660535785685,9.352059176329469,9.355457816873251,9.358856457417033,9.362255097960816,9.365653738504598,9.36905237904838,9.372451019592162,9.375849660135946,9.379248300679729,9.382646941223511,9.386045581767293,9.389444222311075,9.392842862854858,9.39624150339864,9.399640143942422,9.403038784486206,9.406437425029988,9.40983606557377,9.413234706117553,9.416633346661335,9.420031987205117,9.4234306277489,9.426829268292684,9.430227908836466,9.433626549380248,9.43702518992403,9.440423830467813,9.443822471011595,9.447221111555377,9.45061975209916,9.454018392642944,9.457417033186726,9.460815673730508,9.46421431427429,9.467612954818073,9.471011595361855,9.474410235905637,9.477808876449421,9.481207516993203,9.484606157536986,9.488004798080768,9.49140343862455,9.494802079168332,9.498200719712115,9.501599360255897,9.50499800079968,9.508396641343463,9.511795281887245,9.515193922431028,9.51859256297481,9.521991203518592,9.525389844062374,9.528788484606158,9.53218712514994,9.535585765693723,9.538984406237505,9.542383046781287,9.54578168732507,9.549180327868852,9.552578968412634,9.555977608956418,9.5593762495002,9.562774890043983,9.566173530587765,9.569572171131547,9.57297081167533,9.576369452219112,9.579768092762896,9.583166733306678,9.58656537385046,9.589964014394242,9.593362654938025,9.596761295481807,9.60015993602559,9.603558576569371,9.606957217113155,9.610355857656938,9.61375449820072,9.617153138744502,9.620551779288284,9.623950419832067,9.627349060375849,9.630747700919633,9.634146341463415,9.637544982007197,9.64094362255098,9.644342263094762,9.647740903638544,9.651139544182326,9.654538184726109,9.657936825269893,9.661335465813675,9.664734106357457,9.66813274690124,9.671531387445022,9.674930027988804,9.678328668532586,9.68172730907637,9.685125949620152,9.688524590163935,9.691923230707717,9.6953218712515,9.698720511795281,9.702119152339064,9.705517792882846,9.70891643342663,9.712315073970412,9.715713714514195,9.719112355057977,9.722510995601759,9.725909636145541,9.729308276689324,9.732706917233108,9.73610555777689,9.739504198320672,9.742902838864454,9.746301479408237,9.749700119952019,9.753098760495801,9.756497401039583,9.759896041583367,9.76329468212715,9.766693322670932,9.770091963214714,9.773490603758496,9.776889244302279,9.78028788484606,9.783686525389845,9.787085165933627,9.79048380647741,9.793882447021192,9.797281087564974,9.800679728108756,9.804078368652538,9.80747700919632,9.810875649740105,9.814274290283887,9.81767293082767,9.821071571371451,9.824470211915234,9.827868852459016,9.831267493002798,9.834666133546582,9.838064774090364,9.841463414634147,9.844862055177929,9.848260695721711,9.851659336265493,9.855057976809276,9.858456617353058,9.861855257896842,9.865253898440624,9.868652538984406,9.872051179528189,9.875449820071971,9.878848460615753,9.882247101159535,9.88564574170332,9.889044382247102,9.892443022790884,9.895841663334666,9.899240303878448,9.90263894442223,9.906037584966013,9.909436225509797,9.91283486605358,9.916233506597361,9.919632147141144,9.923030787684926,9.926429428228708,9.92982806877249,9.933226709316273,9.936625349860057,9.940023990403839,9.943422630947621,9.946821271491403,9.950219912035186,9.953618552578968,9.95701719312275,9.960415833666534,9.963814474210317,9.967213114754099,9.970611755297881,9.974010395841663,9.977409036385446,9.980807676929228,9.98420631747301,9.987604958016794,9.991003598560576,9.994402239104359,9.99780087964814,10.001199520191923,10.004598160735705,10.007996801279488,10.011395441823272,10.014794082367054,10.018192722910836,10.021591363454618,10.0249900039984,10.028388644542183,10.031787285085965,10.035185925629747,10.038584566173531,10.041983206717314,10.045381847261096,10.048780487804878,10.05217912834866,10.055577768892443,10.058976409436225,10.062375049980009,10.065773690523791,10.069172331067573,10.072570971611356,10.075969612155138,10.07936825269892,10.082766893242702,10.086165533786485,10.089564174330269,10.092962814874051,10.096361455417833,10.099760095961615,10.103158736505398,10.10655737704918,10.109956017592962,10.113354658136746,10.116753298680528,10.12015193922431,10.123550579768093,10.126949220311875,10.130347860855657,10.13374650139944,10.137145141943222,10.140543782487006,10.143942423030788,10.14734106357457,10.150739704118353,10.154138344662135,10.157536985205917,10.1609356257497,10.164334266293483,10.167732906837266,10.171131547381048,10.17453018792483,10.177928828468612,10.181327469012395,10.184726109556177,10.18812475009996,10.191523390643743,10.194922031187525,10.198320671731308,10.20171931227509,10.205117952818872,10.208516593362654,10.211915233906437,10.21531387445022,10.218712514994003,10.222111155537785,10.225509796081568,10.22890843662535,10.232307077169132,10.235705717712914,10.239104358256697,10.24250299880048,10.245901639344263,10.249300279888045,10.252698920431827,10.25609756097561,10.259496201519392,10.262894842063174,10.266293482606958,10.26969212315074,10.273090763694523,10.276489404238305,10.279888044782087,10.28328668532587,10.286685325869652,10.290083966413434,10.293482606957218,10.296881247501,10.300279888044782,10.303678528588565,10.307077169132347,10.310475809676129,10.313874450219911,10.317273090763695,10.320671731307478,10.32407037185126,10.327469012395042,10.330867652938824,10.334266293482607,10.337664934026389,10.341063574570171,10.344462215113955,10.347860855657737,10.35125949620152,10.354658136745302,10.358056777289084,10.361455417832866,10.364854058376649,10.368252698920433,10.371651339464215,10.375049980007997,10.37844862055178,10.381847261095562,10.385245901639344,10.388644542183126,10.392043182726908,10.395441823270692,10.398840463814475,10.402239104358257,10.40563774490204,10.409036385445821,10.412435025989604,10.415833666533386,10.41923230707717,10.422630947620952,10.426029588164734,10.429428228708517,10.432826869252299,10.436225509796081,10.439624150339863,10.443022790883646,10.44642143142743,10.449820071971212,10.453218712514994,10.456617353058776,10.460015993602559,10.463414634146341,10.466813274690123,10.470211915233907,10.47361055577769,10.477009196321472,10.480407836865254,10.483806477409036,10.487205117952819,10.4906037584966,10.494002399040383,10.497401039584167,10.50079968012795,10.504198320671732,10.507596961215514,10.510995601759296,10.514394242303078,10.51779288284686,10.521191523390645,10.524590163934427,10.527988804478209,10.531387445021991,10.534786085565774,10.538184726109556,10.541583366653338,10.54498200719712,10.548380647740904,10.551779288284687,10.555177928828469,10.558576569372251,10.561975209916033,10.565373850459816,10.568772491003598,10.572171131547382,10.575569772091164,10.578968412634946,10.582367053178729,10.58576569372251,10.589164334266293,10.592562974810075,10.595961615353858,10.599360255897642,10.602758896441424,10.606157536985206,10.609556177528988,10.61295481807277,10.616353458616553,10.619752099160335,10.62315073970412,10.626549380247901,10.629948020791684,10.633346661335466,10.636745301879248,10.64014394242303,10.643542582966813,10.646941223510595,10.650339864054379,10.653738504598161,10.657137145141943,10.660535785685726,10.663934426229508,10.66733306677329,10.670731707317072,10.674130347860856,10.677528988404639,10.680927628948421,10.684326269492203,10.687724910035985,10.691123550579768,10.69452219112355,10.697920831667332,10.701319472211116,10.704718112754898,10.70811675329868,10.711515393842463,10.714914034386245,10.718312674930027,10.72171131547381,10.725109956017594,10.728508596561376,10.731907237105158,10.73530587764894,10.738704518192723,10.742103158736505,10.745501799280287,10.74890043982407,10.752299080367854,10.755697720911636,10.759096361455418,10.7624950019992,10.765893642542983,10.769292283086765,10.772690923630547,10.776089564174331,10.779488204718113,10.782886845261896,10.786285485805678,10.78968412634946,10.793082766893242,10.796481407437025,10.799880047980807,10.80327868852459,10.806677329068373,10.810075969612155,10.813474610155938,10.81687325069972,10.820271891243502,10.823670531787284,10.827069172331068,10.83046781287485,10.833866453418633,10.837265093962415,10.840663734506197,10.84406237504998,10.847461015593762,10.850859656137544,10.854258296681328,10.85765693722511,10.861055577768893,10.864454218312675,10.867852858856457,10.87125149940024,10.874650139944022,10.878048780487806,10.881447421031588,10.88484606157537,10.888244702119152,10.891643342662935,10.895041983206717,10.8984406237505,10.901839264294281,10.905237904838065,10.908636545381848,10.91203518592563,10.915433826469412,10.918832467013194,10.922231107556977,10.925629748100759,10.929028388644543,10.932427029188325,10.935825669732107,10.93922431027589,10.942622950819672,10.946021591363454,10.949420231907236,10.952818872451019,10.956217512994803,10.959616153538585,10.963014794082367,10.96641343462615,10.969812075169932,10.973210715713714,10.976609356257496,10.98000799680128,10.983406637345063,10.986805277888845,10.990203918432627,10.99360255897641,10.997001199520192,11.000399840063974,11.003798480607758,11.00719712115154,11.010595761695322,11.013994402239105,11.017393042782887,11.020791683326669,11.024190323870451,11.027588964414234,11.030987604958018,11.0343862455018,11.037784886045582,11.041183526589364,11.044582167133147,11.047980807676929,11.051379448220711,11.054778088764495,11.058176729308277,11.06157536985206,11.064974010395842,11.068372650939624,11.071771291483406,11.075169932027189,11.07856857257097,11.081967213114755,11.085365853658537,11.08876449420232,11.092163134746102,11.095561775289884,11.098960415833666,11.102359056377448,11.105757696921232,11.109156337465015,11.112554978008797,11.11595361855258,11.119352259096361,11.122750899640144,11.126149540183926,11.129548180727708,11.132946821271492,11.136345461815274,11.139744102359057,11.143142742902839,11.146541383446621,11.149940023990403,11.153338664534186,11.15673730507797,11.160135945621752,11.163534586165534,11.166933226709316,11.170331867253099,11.173730507796881,11.177129148340663,11.180527788884445,11.18392642942823,11.187325069972012,11.190723710515794,11.194122351059576,11.197520991603358,11.20091963214714,11.204318272690923,11.207716913234707,11.21111555377849,11.214514194322271,11.217912834866054,11.221311475409836,11.224710115953618,11.2281087564974,11.231507397041183,11.234906037584967,11.238304678128749,11.241703318672531,11.245101959216314,11.248500599760096,11.251899240303878,11.25529788084766,11.258696521391444,11.262095161935227,11.265493802479009,11.268892443022791,11.272291083566573,11.275689724110356,11.279088364654138,11.28248700519792,11.285885645741704,11.289284286285486,11.292682926829269,11.29608156737305,11.299480207916833,11.302878848460615,11.306277489004398,11.309676129548182,11.313074770091964,11.316473410635746,11.319872051179528,11.32327069172331,11.326669332267093,11.330067972810875,11.333466613354657,11.336865253898441,11.340263894442224,11.343662534986006,11.347061175529788,11.35045981607357,11.353858456617353,11.357257097161135,11.360655737704919,11.364054378248701,11.367453018792483,11.370851659336266,11.374250299880048,11.37764894042383,11.381047580967612,11.384446221511395,11.387844862055179,11.391243502598961,11.394642143142743,11.398040783686525,11.401439424230308,11.40483806477409,11.408236705317872,11.411635345861656,11.415033986405438,11.41843262694922,11.421831267493003,11.425229908036785,11.428628548580567,11.43202718912435,11.435425829668132,11.438824470211916,11.442223110755698,11.44562175129948,11.449020391843263,11.452419032387045,11.455817672930827,11.45921631347461,11.462614954018393,11.466013594562176,11.469412235105958,11.47281087564974,11.476209516193522,11.479608156737305,11.483006797281087,11.48640543782487,11.489804078368653,11.493202718912436,11.496601359456218,11.5,11.503398640543782,11.506797281087564,11.510195921631347,11.51359456217513,11.516993202718913,11.520391843262695,11.523790483806478,11.52718912435026,11.530587764894042,11.533986405437824,11.537385045981607,11.54078368652539,11.544182327069173,11.547580967612955,11.550979608156737,11.55437824870052,11.557776889244302,11.561175529788084,11.564574170331868,11.56797281087565,11.571371451419433,11.574770091963215,11.578168732506997,11.58156737305078,11.584966013594562,11.588364654138344,11.591763294682128,11.59516193522591,11.598560575769692,11.601959216313475,11.605357856857257,11.608756497401039,11.612155137944821,11.615553778488605,11.618952419032388,11.62235105957617,11.625749700119952,11.629148340663734,11.632546981207517,11.635945621751299,11.639344262295081,11.642742902838865,11.646141543382647,11.64954018392643,11.652938824470212,11.656337465013994,11.659736105557776,11.663134746101559,11.666533386645343,11.669932027189125,11.673330667732907,11.67672930827669,11.680127948820472,11.683526589364254,11.686925229908036,11.690323870451818,11.693722510995602,11.697121151539385,11.700519792083167,11.70391843262695,11.707317073170731,11.710715713714514,11.714114354258296,11.71751299480208,11.720911635345862,11.724310275889644,11.727708916433427,11.731107556977209,11.734506197520991,11.737904838064773,11.741303478608556,11.74470211915234,11.748100759696122,11.751499400239904,11.754898040783686,11.758296681327469,11.761695321871251,11.765093962415033,11.768492602958817,11.7718912435026,11.775289884046382,11.778688524590164,11.782087165133946,11.785485805677729,11.78888444622151,11.792283086765293,11.795681727309077,11.79908036785286,11.802479008396642,11.805877648940424,11.809276289484206,11.812674930027988,11.81607357057177,11.819472211115555,11.822870851659337,11.826269492203119,11.829668132746901,11.833066773290684,11.836465413834466,11.839864054378248,11.84326269492203,11.846661335465814,11.850059976009597,11.853458616553379,11.856857257097161,11.860255897640943,11.863654538184726,11.867053178728508,11.870451819272292,11.873850459816074,11.877249100359856,11.880647740903639,11.88404638144742,11.887445021991203,11.890843662534985,11.894242303078768,11.897640943622552,11.901039584166334,11.904438224710116,11.907836865253898,11.91123550579768,11.914634146341463,11.918032786885245,11.92143142742903,11.924830067972811,11.928228708516594,11.931627349060376,11.935025989604158,11.93842463014794,11.941823270691723,11.945221911235505,11.948620551779289,11.952019192323071,11.955417832866853,11.958816473410636,11.962215113954418,11.9656137544982,11.969012395041982,11.972411035585766,11.975809676129549,11.979208316673331,11.982606957217113,11.986005597760895,11.989404238304678,11.99280287884846,11.996201519392242,11.999600159936026,12.002998800479808,12.00639744102359,12.009796081567373,12.013194722111155,12.016593362654937,12.01999200319872,12.023390643742504,12.026789284286286,12.030187924830068,12.03358656537385,12.036985205917633,12.040383846461415,12.043782487005197,12.047181127548981,12.050579768092764,12.053978408636546,12.057377049180328,12.06077568972411,12.064174330267893,12.067572970811675,12.070971611355457,12.074370251899241,12.077768892443023,12.081167532986806,12.084566173530588,12.08796481407437,12.091363454618152,12.094762095161935,12.098160735705719,12.1015593762495,12.104958016793283,12.108356657337065,12.111755297880848,12.11515393842463,12.118552578968412,12.121951219512194,12.125349860055978,12.12874850059976,12.132147141143543,12.135545781687325,12.138944422231107,12.14234306277489,12.145741703318672,12.149140343862456,12.152538984406238,12.15593762495002,12.159336265493803,12.162734906037585,12.166133546581367,12.16953218712515,12.172930827668932,12.176329468212716,12.179728108756498,12.18312674930028,12.186525389844062,12.189924030387845,12.193322670931627,12.19672131147541,12.200119952019193,12.203518592562975,12.206917233106758,12.21031587365054,12.213714514194322,12.217113154738104,12.220511795281887,12.223910435825669,12.227309076369453,12.230707716913235,12.234106357457017,12.2375049980008,12.240903638544582,12.244302279088364,12.247700919632146,12.25109956017593,12.254498200719713,12.257896841263495,12.261295481807277,12.26469412235106,12.268092762894842,12.271491403438624,12.274890043982406,12.27828868452619,12.281687325069973,12.285085965613755,12.288484606157537,12.29188324670132,12.295281887245102,12.298680527788884,12.302079168332668,12.30547780887645,12.308876449420232,12.312275089964015,12.315673730507797,12.319072371051579,12.322471011595361,12.325869652139144,12.329268292682928,12.33266693322671,12.336065573770492,12.339464214314274,12.342862854858057,12.346261495401839,12.349660135945621,12.353058776489405,12.356457417033187,12.35985605757697,12.363254698120752,12.366653338664534,12.370051979208316,12.373450619752099,12.37684926029588,12.380247900839665,12.383646541383447,12.38704518192723,12.390443822471012,12.393842463014794,12.397241103558576,12.400639744102358,12.404038384646142,12.407437025189925,12.410835665733707,12.41423430627749,12.417632946821271,12.421031587365054,12.424430227908836,12.427828868452618,12.431227508996402,12.434626149540184,12.438024790083967,12.441423430627749,12.444822071171531,12.448220711715313,12.451619352259096,12.45501799280288,12.458416633346662,12.461815273890444,12.465213914434226,12.468612554978009,12.472011195521791,12.475409836065573,12.478808476609355,12.48220711715314,12.485605757696922,12.489004398240704,12.492403038784486,12.495801679328268,12.49920031987205,12.502598960415833,12.505997600959617,12.5093962415034,12.512794882047181,12.516193522590964,12.519592163134746,12.522990803678528,12.52638944422231,12.529788084766093,12.533186725309877,12.536585365853659,12.539984006397441,12.543382646941224,12.546781287485006,12.550179928028788,12.55357856857257,12.556977209116354,12.560375849660137,12.563774490203919,12.567173130747701,12.570571771291483,12.573970411835266,12.577369052379048,12.58076769292283,12.584166333466614,12.587564974010396,12.590963614554179,12.59436225509796,12.597760895641743,12.601159536185525,12.604558176729308,12.607956817273092,12.611355457816874,12.614754098360656,12.618152738904438,12.62155137944822,12.624950019992003,12.628348660535785,12.631747301079567,12.635145941623351,12.638544582167134,12.641943222710916,12.645341863254698,12.64874050379848,12.652139144342263,12.655537784886045,12.658936425429829,12.662335065973611,12.665733706517393,12.669132347061176,12.672530987604958,12.67592962814874,12.679328268692522,12.682726909236305,12.686125549780089,12.689524190323871,12.692922830867653,12.696321471411435,12.699720111955218,12.703118752499,12.706517393042782,12.709916033586566,12.713314674130348,12.71671331467413,12.720111955217913,12.723510595761695,12.726909236305477,12.73030787684926,12.733706517393042,12.737105157936826,12.740503798480608,12.74390243902439,12.747301079568173,12.750699720111955,12.754098360655737,12.75749700119952,12.760895641743303,12.764294282287086,12.767692922830868,12.77109156337465,12.774490203918432,12.777888844462215,12.781287485005997,12.78468612554978,12.788084766093563,12.791483406637346,12.794882047181128,12.79828068772491,12.801679328268692,12.805077968812475,12.808476609356257,12.81187524990004,12.815273890443823,12.818672530987605,12.822071171531388,12.82546981207517,12.828868452618952,12.832267093162734,12.835665733706517,12.8390643742503,12.842463014794083,12.845861655337865,12.849260295881647,12.85265893642543,12.856057576969212,12.859456217512994,12.862854858056778,12.86625349860056,12.869652139144343,12.873050779688125,12.876449420231907,12.87984806077569,12.883246701319472,12.886645341863254,12.890043982407038,12.89344262295082,12.896841263494602,12.900239904038385,12.903638544582167,12.907037185125949,12.910435825669731,12.913834466213515,12.917233106757298,12.92063174730108,12.924030387844862,12.927429028388644,12.930827668932427,12.934226309476209,12.937624950019991,12.941023590563775,12.944422231107557,12.94782087165134,12.951219512195122,12.954618152738904,12.958016793282686,12.961415433826469,12.964814074370253,12.968212714914035,12.971611355457817,12.9750099960016,12.978408636545382,12.981807277089164,12.985205917632946,12.988604558176728,12.992003198720512,12.995401839264295,12.998800479808077,13.00219912035186,13.005597760895641,13.008996401439424,13.012395041983206,13.01579368252699,13.019192323070772,13.022590963614554,13.025989604158337,13.029388244702119,13.032786885245901,13.036185525789683,13.039584166333466,13.04298280687725,13.046381447421032,13.049780087964814,13.053178728508597,13.056577369052379,13.059976009596161,13.063374650139943,13.066773290683727,13.07017193122751,13.073570571771292,13.076969212315074,13.080367852858856,13.083766493402639,13.08716513394642,13.090563774490203,13.093962415033987,13.09736105557777,13.100759696121552,13.104158336665334,13.107556977209116,13.110955617752898,13.11435425829668,13.117752898840465,13.121151539384247,13.124550179928029,13.127948820471811,13.131347461015594,13.134746101559376,13.138144742103158,13.141543382646942,13.144942023190724,13.148340663734507,13.151739304278289,13.155137944822071,13.158536585365853,13.161935225909636,13.165333866453418,13.168732506997202,13.172131147540984,13.175529788084766,13.178928428628549,13.18232706917233,13.185725709716113,13.189124350259895,13.19252299080368,13.195921631347462,13.199320271891244,13.202718912435026,13.206117552978808,13.20951619352259,13.212914834066373,13.216313474610155,13.21971211515394,13.223110755697721,13.226509396241504,13.229908036785286,13.233306677329068,13.23670531787285,13.240103958416633,13.243502598960417,13.246901239504199,13.250299880047981,13.253698520591763,13.257097161135546,13.260495801679328,13.26389444222311,13.267293082766892,13.270691723310676,13.274090363854459,13.277489004398241,13.280887644942023,13.284286285485805,13.287684926029588,13.29108356657337,13.294482207117154,13.297880847660936,13.301279488204719,13.3046781287485,13.308076769292283,13.311475409836065,13.314874050379848,13.31827269092363,13.321671331467414,13.325069972011196,13.328468612554978,13.33186725309876,13.335265893642543,13.338664534186325,13.342063174730107,13.345461815273891,13.348860455817674,13.352259096361456,13.355657736905238,13.35905637744902,13.362455017992803,13.365853658536585,13.369252299080367,13.372650939624151,13.376049580167933,13.379448220711716,13.382846861255498,13.38624550179928,13.389644142343062,13.393042782886845,13.396441423430629,13.39984006397441,13.403238704518193,13.406637345061975,13.410035985605758,13.41343462614954,13.416833266693322,13.420231907237104,13.423630547780888,13.42702918832467,13.430427828868453,13.433826469412235,13.437225109956017,13.4406237504998,13.444022391043582,13.447421031587366,13.450819672131148,13.45421831267493,13.457616953218713,13.461015593762495,13.464414234306277,13.46781287485006,13.471211515393842,13.474610155937626,13.478008796481408,13.48140743702519,13.484806077568972,13.488204718112755,13.491603358656537,13.49500199920032,13.498400639744103,13.501799280287885,13.505197920831668,13.50859656137545,13.511995201919232,13.515393842463014,13.518792483006797,13.522191123550579,13.525589764094363,13.528988404638145,13.532387045181927,13.53578568572571,13.539184326269492,13.542582966813274,13.545981607357056,13.54938024790084,13.552778888444623,13.556177528988405,13.559576169532187,13.56297481007597,13.566373450619752,13.569772091163534,13.573170731707316,13.5765693722511,13.579968012794883,13.583366653338665,13.586765293882447,13.59016393442623,13.593562574970012,13.596961215513794,13.600359856057578,13.60375849660136,13.607157137145142,13.610555777688925,13.613954418232707,13.617353058776489,13.620751699320271,13.624150339864054,13.627548980407838,13.63094762095162,13.634346261495402,13.637744902039184,13.641143542582967,13.644542183126749,13.647940823670531,13.651339464214315,13.654738104758097,13.65813674530188,13.661535385845662,13.664934026389444,13.668332666933226,13.671731307477009,13.67512994802079,13.678528588564575,13.681927229108357,13.68532586965214,13.688724510195922,13.692123150739704,13.695521791283486,13.698920431827268,13.702319072371052,13.705717712914835,13.709116353458617,13.7125149940024,13.715913634546181,13.719312275089964,13.722710915633746,13.726109556177528,13.729508196721312,13.732906837265094,13.736305477808877,13.739704118352659,13.743102758896441,13.746501399440223,13.749900039984006,13.75329868052779,13.756697321071572,13.760095961615354,13.763494602159136,13.766893242702919,13.770291883246701,13.773690523790483,13.777089164334265,13.78048780487805,13.783886445421832,13.787285085965614,13.790683726509396,13.794082367053178,13.79748100759696,13.800879648140743,13.804278288684527,13.80767692922831,13.811075569772091,13.814474210315874,13.817872850859656,13.821271491403438,13.82467013194722,13.828068772491003,13.831467413034787,13.834866053578569,13.838264694122351,13.841663334666134,13.845061975209916,13.848460615753698,13.85185925629748,13.855257896841264,13.858656537385047,13.862055177928829,13.865453818472611,13.868852459016393,13.872251099560176,13.875649740103958,13.87904838064774,13.882447021191524,13.885845661735306,13.889244302279089,13.89264294282287,13.896041583366653,13.899440223910435,13.902838864454218,13.906237504998002,13.909636145541784,13.913034786085566,13.916433426629348,13.91983206717313,13.923230707716913,13.926629348260695,13.930027988804477,13.933426629348261,13.936825269892044,13.940223910435826,13.943622550979608,13.94702119152339,13.950419832067173,13.953818472610955,13.957217113154739,13.960615753698521,13.964014394242303,13.967413034786086,13.970811675329868,13.97421031587365,13.977608956417432,13.981007596961215,13.984406237504999,13.987804878048781,13.991203518592563,13.994602159136345,13.998000799680128,14.00139944022391,14.004798080767692,14.008196721311476,14.011595361855258,14.01499400239904,14.018392642942823,14.021791283486605,14.025189924030387,14.02858856457417,14.031987205117952,14.035385845661736,14.038784486205518,14.0421831267493,14.045581767293083,14.048980407836865,14.052379048380647,14.05577768892443,14.059176329468213,14.062574970011996,14.065973610555778,14.06937225109956,14.072770891643342,14.076169532187125,14.079568172730907,14.08296681327469,14.086365453818473,14.089764094362256,14.093162734906038,14.09656137544982,14.099960015993602,14.103358656537385,14.106757297081167,14.11015593762495,14.113554578168733,14.116953218712515,14.120351859256298,14.12375049980008,14.127149140343862,14.130547780887644,14.133946421431427,14.13734506197521,14.140743702518993,14.144142343062775,14.147540983606557,14.15093962415034,14.154338264694122,14.157736905237904,14.161135545781688,14.16453418632547,14.167932826869253,14.171331467413035,14.174730107956817,14.1781287485006,14.181527389044382,14.184926029588166,14.188324670131948,14.19172331067573,14.195121951219512,14.198520591763295,14.201919232307077,14.20531787285086,14.208716513394641,14.212115153938425,14.215513794482208,14.21891243502599,14.222311075569772,14.225709716113554,14.229108356657337,14.232506997201119,14.235905637744903,14.239304278288685,14.242702918832467,14.24610155937625,14.249500199920032,14.252898840463814,14.256297481007596,14.259696121551379,14.263094762095163,14.266493402638945,14.269892043182727,14.27329068372651,14.276689324270292,14.280087964814074,14.283486605357856,14.28688524590164,14.290283886445422,14.293682526989205,14.297081167532987,14.30047980807677,14.303878448620551,14.307277089164334,14.310675729708116,14.3140743702519,14.317473010795682,14.320871651339464,14.324270291883247,14.327668932427029,14.331067572970811,14.334466213514593,14.337864854058378,14.34126349460216,14.344662135145942,14.348060775689724,14.351459416233507,14.354858056777289,14.358256697321071,14.361655337864853,14.365053978408637,14.36845261895242,14.371851259496202,14.375249900039984,14.378648540583766,14.382047181127549,14.38544582167133,14.388844462215115,14.392243102758897,14.39564174330268,14.399040383846462,14.402439024390244,14.405837664934026,14.409236305477808,14.41263494602159,14.416033586565375,14.419432227109157,14.422830867652939,14.426229508196721,14.429628148740504,14.433026789284286,14.436425429828068,14.439824070371852,14.443222710915634,14.446621351459417,14.450019992003199,14.453418632546981,14.456817273090763,14.460215913634546,14.463614554178328,14.467013194722112,14.470411835265894,14.473810475809676,14.477209116353459,14.480607756897241,14.484006397441023,14.487405037984805,14.49080367852859,14.494202319072372,14.497600959616154,14.500999600159936,14.504398240703718,14.5077968812475,14.511195521791283,14.514594162335065,14.51799280287885,14.521391443422631,14.524790083966414,14.528188724510196,14.531587365053978,14.53498600559776,14.538384646141543,14.541783286685327,14.545181927229109,14.548580567772891,14.551979208316673,14.555377848860456,14.558776489404238,14.56217512994802,14.565573770491802,14.568972411035586,14.572371051579369,14.575769692123151,14.579168332666933,14.582566973210715,14.585965613754498,14.58936425429828,14.592762894842064,14.596161535385846,14.599560175929629,14.60295881647341,14.606357457017193,14.609756097560975,14.613154738104758,14.61655337864854,14.619952019192324,14.623350659736106,14.626749300279888,14.63014794082367,14.633546581367453,14.636945221911235,14.640343862455017,14.643742502998801,14.647141143542584,14.650539784086366,14.653938424630148,14.65733706517393,14.660735705717713,14.664134346261495,14.667532986805277,14.670931627349061,14.674330267892843,14.677728908436626,14.681127548980408,14.68452618952419,14.687924830067972,14.691323470611755,14.694722111155539,14.69812075169932,14.701519392243103,14.704918032786885,14.708316673330668,14.71171531387445,14.715113954418232,14.718512594962014,14.721911235505798,14.72530987604958,14.728708516593363,14.732107157137145,14.735505797680927,14.73890443822471,14.742303078768492,14.745701719312276,14.749100359856058,14.75249900039984,14.755897640943623,14.759296281487405,14.762694922031187,14.76609356257497,14.769492203118752,14.772890843662536,14.776289484206318,14.7796881247501,14.783086765293882,14.786485405837665,14.789884046381447,14.79328268692523,14.796681327469013,14.800079968012795,14.803478608556578,14.80687724910036,14.810275889644142,14.813674530187924,14.817073170731707,14.820471811275489,14.823870451819273,14.827269092363055,14.830667732906837,14.83406637345062,14.837465013994402,14.840863654538184,14.844262295081966,14.84766093562575,14.851059576169533,14.854458216713315,14.857856857257097,14.86125549780088,14.864654138344662,14.868052778888444,14.871451419432226,14.87485005997601,14.878248700519793,14.881647341063575,14.885045981607357,14.88844462215114,14.891843262694922,14.895241903238704,14.898640543782488,14.90203918432627,14.905437824870052,14.908836465413835,14.912235105957617,14.915633746501399,14.919032387045181,14.922431027588964,14.925829668132748,14.92922830867653,14.932626949220312,14.936025589764094,14.939424230307877,14.942822870851659,14.946221511395441,14.949620151939225,14.953018792483007,14.95641743302679,14.959816073570572,14.963214714114354,14.966613354658136,14.970011995201919,14.9734106357457,14.976809276289485,14.980207916833267,14.98360655737705,14.987005197920832,14.990403838464614,14.993802479008396,14.997201119552178,15.000599760095962,15.003998400639745,15.007397041183527,15.01079568172731,15.014194322271091,15.017592962814874,15.020991603358656,15.024390243902438,15.027788884446222,15.031187524990004,15.034586165533787,15.037984806077569,15.041383446621351,15.044782087165133,15.048180727708916,15.0515793682527,15.054978008796482,15.058376649340264,15.061775289884046,15.065173930427829,15.068572570971611,15.071971211515393,15.075369852059175,15.07876849260296,15.082167133146742,15.085565773690524,15.088964414234306,15.092363054778088,15.09576169532187,15.099160335865653,15.102558976409437,15.10595761695322,15.109356257497002,15.112754898040784,15.116153538584566,15.119552179128348,15.12295081967213,15.126349460215913,15.129748100759697,15.133146741303479,15.136545381847261,15.139944022391044,15.143342662934826,15.146741303478608,15.15013994402239,15.153538584566174,15.156937225109957,15.160335865653739,15.163734506197521,15.167133146741303,15.170531787285086,15.173930427828868,15.17732906837265,15.180727708916434,15.184126349460216,15.187524990003999,15.19092363054778,15.194322271091563,15.197720911635345,15.201119552179128,15.204518192722912,15.207916833266694,15.211315473810476,15.214714114354258,15.21811275489804,15.221511395441823,15.224910035985605,15.22830867652939,15.231707317073171,15.235105957616954,15.238504598160736,15.241903238704518,15.2453018792483,15.248700519792083,15.252099160335865,15.255497800879649,15.258896441423431,15.262295081967213,15.265693722510996,15.269092363054778,15.27249100359856,15.275889644142342,15.279288284686126,15.282686925229909,15.286085565773691,15.289484206317473,15.292882846861255,15.296281487405038,15.29968012794882,15.303078768492602,15.306477409036386,15.309876049580168,15.31327469012395,15.316673330667733,15.320071971211515,15.323470611755297,15.32686925229908,15.330267892842864,15.333666533386646,15.337065173930428,15.34046381447421,15.343862455017993,15.347261095561775,15.350659736105557,15.35405837664934,15.357457017193124,15.360855657736906,15.364254298280688,15.36765293882447,15.371051579368253,15.374450219912035,15.377848860455817,15.381247500999601,15.384646141543383,15.388044782087166,15.391443422630948,15.39484206317473,15.398240703718512,15.401639344262295,15.405037984806077,15.40843662534986,15.411835265893643,15.415233906437425,15.418632546981208,15.42203118752499,15.425429828068772,15.428828468612554,15.432227109156338,15.43562574970012,15.439024390243903,15.442423030787685,15.445821671331467,15.44922031187525,15.452618952419032,15.456017592962814,15.459416233506598,15.46281487405038,15.466213514594163,15.469612155137945,15.473010795681727,15.47640943622551,15.479808076769292,15.483206717313076,15.486605357856858,15.49000399840064,15.493402638944422,15.496801279488205,15.500199920031987,15.50359856057577,15.506997201119551,15.510395841663335,15.513794482207118,15.5171931227509,15.520591763294682,15.523990403838464,15.527389044382247,15.530787684926029,15.534186325469813,15.537584966013595,15.540983606557377,15.54438224710116,15.547780887644942,15.551179528188724,15.554578168732506,15.557976809276289,15.561375449820073,15.564774090363855,15.568172730907637,15.57157137145142,15.574970011995202,15.578368652538984,15.581767293082766,15.58516593362655,15.588564574170332,15.591963214714115,15.595361855257897,15.59876049580168,15.602159136345461,15.605557776889244,15.608956417433026,15.61235505797681,15.615753698520592,15.619152339064375,15.622550979608157,15.625949620151939,15.629348260695721,15.632746901239504,15.636145541783288,15.63954418232707,15.642942822870852,15.646341463414634,15.649740103958417,15.653138744502199,15.656537385045981,15.659936025589763,15.663334666133547,15.66673330667733,15.670131947221112,15.673530587764894,15.676929228308676,15.680327868852459,15.68372650939624,15.687125149940025,15.690523790483807,15.69392243102759,15.697321071571372,15.700719712115154,15.704118352658936,15.707516993202718,15.7109156337465,15.714314274290285,15.717712914834067,15.721111555377849,15.724510195921631,15.727908836465414,15.731307477009196,15.734706117552978,15.738104758096762,15.741503398640544,15.744902039184327,15.748300679728109,15.751699320271891,15.755097960815673,15.758496601359456,15.761895241903238,15.765293882447022,15.768692522990804,15.772091163534586,15.775489804078369,15.778888444622151,15.782287085165933,15.785685725709715,15.7890843662535,15.792483006797282,15.795881647341064,15.799280287884846,15.802678928428628,15.80607756897241,15.809476209516193,15.812874850059975,15.81627349060376,15.819672131147541,15.823070771691324,15.826469412235106,15.829868052778888,15.83326669332267,15.836665333866453,15.840063974410237,15.843462614954019,15.846861255497801,15.850259896041583,15.853658536585366,15.857057177129148,15.86045581767293,15.863854458216712,15.867253098760496,15.870651739304279,15.874050379848061,15.877449020391843,15.880847660935625,15.884246301479408,15.88764494202319,15.891043582566974,15.894442223110756,15.897840863654539,15.90123950419832,15.904638144742103,15.908036785285885,15.911435425829668,15.91483406637345,15.918232706917234,15.921631347461016,15.925029988004798,15.92842862854858,15.931827269092363,15.935225909636145,15.938624550179927,15.942023190723711,15.945421831267494,15.948820471811276,15.952219112355058,15.95561775289884,15.959016393442623,15.962415033986405,15.965813674530187,15.969212315073971,15.972610955617753,15.976009596161536,15.979408236705318,15.9828068772491,15.986205517792882,15.989604158336665,15.993002798880449,15.99640143942423,15.999800079968013,16.003198720511794,16.00659736105558,16.00999600159936,16.013394642143144,16.016793282686926,16.02019192323071,16.02359056377449,16.026989204318273,16.030387844862055,16.033786485405837,16.03718512594962,16.040583766493402,16.043982407037184,16.047381047580966,16.05077968812475,16.05417832866853,16.057576969212317,16.0609756097561,16.06437425029988,16.067772890843663,16.071171531387446,16.074570171931228,16.07796881247501,16.081367453018792,16.084766093562575,16.088164734106357,16.09156337465014,16.09496201519392,16.098360655737704,16.101759296281486,16.105157936825268,16.108556577369054,16.111955217912836,16.11535385845662,16.1187524990004,16.122151139544183,16.125549780087965,16.128948420631747,16.13234706117553,16.135745701719312,16.139144342263094,16.142542982806876,16.14594162335066,16.14934026389444,16.152738904438223,16.156137544982005,16.15953618552579,16.162934826069574,16.166333466613356,16.169732107157138,16.17313074770092,16.176529388244703,16.179928028788485,16.183326669332267,16.18672530987605,16.19012395041983,16.193522590963614,16.196921231507396,16.20031987205118,16.20371851259496,16.207117153138743,16.21051579368253,16.21391443422631,16.217313074770093,16.220711715313875,16.224110355857658,16.22750899640144,16.230907636945222,16.234306277489004,16.237704918032787,16.24110355857657,16.24450219912035,16.247900839664133,16.251299480207916,16.254698120751698,16.25809676129548,16.261495401839266,16.264894042383048,16.26829268292683,16.271691323470613,16.275089964014395,16.278488604558177,16.28188724510196,16.28528588564574,16.288684526189524,16.292083166733306,16.29548180727709,16.29888044782087,16.302279088364653,16.305677728908435,16.309076369452217,16.312475009996003,16.315873650539785,16.319272291083568,16.32267093162735,16.326069572171132,16.329468212714914,16.332866853258697,16.33626549380248,16.33966413434626,16.343062774890043,16.346461415433826,16.349860055977608,16.35325869652139,16.356657337065172,16.360055977608955,16.36345461815274,16.366853258696523,16.370251899240305,16.373650539784087,16.37704918032787,16.38044782087165,16.383846461415434,16.387245101959216,16.390643742503,16.39404238304678,16.397441023590563,16.400839664134345,16.404238304678127,16.40763694522191,16.411035585765692,16.414434226309478,16.41783286685326,16.421231507397042,16.424630147940825,16.428028788484607,16.43142742902839,16.43482606957217,16.438224710115954,16.441623350659736,16.445021991203518,16.4484206317473,16.451819272291083,16.455217912834865,16.458616553378647,16.46201519392243,16.465413834466215,16.468812475009997,16.47221111555378,16.475609756097562,16.479008396641344,16.482407037185126,16.48580567772891,16.48920431827269,16.492602958816473,16.496001599360255,16.499400239904038,16.50279888044782,16.506197520991602,16.509596161535384,16.512994802079167,16.516393442622952,16.519792083166735,16.523190723710517,16.5265893642543,16.52998800479808,16.533386645341864,16.536785285885646,16.540183926429428,16.54358256697321,16.546981207516993,16.550379848060775,16.553778488604557,16.55717712914834,16.56057576969212,16.563974410235904,16.56737305077969,16.570771691323472,16.574170331867254,16.577568972411036,16.58096761295482,16.5843662534986,16.587764894042383,16.591163534586165,16.594562175129948,16.59796081567373,16.601359456217512,16.604758096761294,16.608156737305077,16.61155537784886,16.61495401839264,16.618352658936427,16.62175129948021,16.62514994002399,16.628548580567774,16.631947221111556,16.63534586165534,16.63874450219912,16.642143142742903,16.645541783286685,16.648940423830467,16.65233906437425,16.65573770491803,16.659136345461814,16.662534986005596,16.66593362654938,16.669332267093164,16.672730907636947,16.67612954818073,16.67952818872451,16.682926829268293,16.686325469812076,16.689724110355858,16.69312275089964,16.696521391443422,16.699920031987205,16.703318672530987,16.70671731307477,16.71011595361855,16.713514594162334,16.716913234706116,16.7203118752499,16.723710515793684,16.727109156337466,16.73050779688125,16.73390643742503,16.737305077968813,16.740703718512595,16.744102359056377,16.74750099960016,16.750899640143942,16.754298280687724,16.757696921231506,16.76109556177529,16.76449420231907,16.767892842862853,16.77129148340664,16.77469012395042,16.778088764494203,16.781487405037986,16.784886045581768,16.78828468612555,16.791683326669332,16.795081967213115,16.798480607756897,16.80187924830068,16.80527788884446,16.808676529388244,16.812075169932026,16.815473810475808,16.818872451019594,16.822271091563376,16.82566973210716,16.82906837265094,16.832467013194723,16.835865653738505,16.839264294282287,16.84266293482607,16.846061575369852,16.849460215913634,16.852858856457416,16.8562574970012,16.85965613754498,16.863054778088763,16.866453418632545,16.86985205917633,16.873250699720113,16.876649340263896,16.880047980807678,16.88344662135146,16.886845261895242,16.890243902439025,16.893642542982807,16.89704118352659,16.90043982407037,16.903838464614154,16.907237105157936,16.91063574570172,16.9140343862455,16.917433026789283,16.92083166733307,16.92423030787685,16.927628948420633,16.931027588964415,16.934426229508198,16.93782487005198,16.941223510595762,16.944622151139544,16.948020791683327,16.95141943222711,16.95481807277089,16.958216713314673,16.961615353858456,16.965013994402238,16.96841263494602,16.971811275489806,16.975209916033588,16.97860855657737,16.982007197121153,16.985405837664935,16.988804478208717,16.9922031187525,16.99560175929628,16.999000399840064,17.002399040383846,17.00579768092763,17.00919632147141,17.012594962015193,17.015993602558975,17.019392243102757,17.022790883646543,17.026189524190325,17.029588164734108,17.03298680527789,17.036385445821672,17.039784086365454,17.043182726909237,17.04658136745302,17.0499800079968,17.053378648540583,17.056777289084366,17.060175929628148,17.06357457017193,17.066973210715712,17.070371851259495,17.07377049180328,17.077169132347063,17.080567772890845,17.083966413434627,17.08736505397841,17.09076369452219,17.094162335065974,17.097560975609756,17.10095961615354,17.10435825669732,17.107756897241103,17.111155537784885,17.114554178328667,17.11795281887245,17.121351459416232,17.124750099960018,17.1281487405038,17.131547381047582,17.134946021591364,17.138344662135147,17.14174330267893,17.14514194322271,17.148540583766493,17.151939224310276,17.155337864854058,17.15873650539784,17.162135145941622,17.165533786485405,17.168932427029187,17.17233106757297,17.175729708116755,17.179128348660537,17.18252698920432,17.185925629748102,17.189324270291884,17.192722910835666,17.19612155137945,17.19952019192323,17.202918832467013,17.206317473010795,17.209716113554578,17.21311475409836,17.216513394642142,17.219912035185924,17.223310675729707,17.226709316273492,17.230107956817275,17.233506597361057,17.23690523790484,17.24030387844862,17.243702518992404,17.247101159536186,17.250499800079968,17.25389844062375,17.257297081167533,17.260695721711315,17.264094362255097,17.26749300279888,17.27089164334266,17.274290283886444,17.27768892443023,17.281087564974012,17.284486205517794,17.287884846061576,17.29128348660536,17.29468212714914,17.298080767692923,17.301479408236705,17.304878048780488,17.30827668932427,17.311675329868052,17.315073970411834,17.318472610955617,17.3218712514994,17.32526989204318,17.328668532586967,17.33206717313075,17.33546581367453,17.338864454218314,17.342263094762096,17.345661735305878,17.34906037584966,17.352459016393443,17.355857656937225,17.359256297481007,17.36265493802479,17.36605357856857,17.369452219112354,17.372850859656136,17.37624950019992,17.379648140743704,17.383046781287486,17.38644542183127,17.38984406237505,17.393242702918833,17.396641343462615,17.400039984006398,17.40343862455018,17.406837265093962,17.410235905637744,17.413634546181527,17.41703318672531,17.42043182726909,17.423830467812873,17.427229108356656,17.43062774890044,17.434026389444224,17.437425029988006,17.44082367053179,17.44422231107557,17.447620951619353,17.451019592163135,17.454418232706917,17.4578168732507,17.461215513794482,17.464614154338264,17.468012794882046,17.47141143542583,17.47481007596961,17.478208716513393,17.48160735705718,17.48500599760096,17.488404638144743,17.491803278688526,17.495201919232308,17.49860055977609,17.501999200319872,17.505397840863655,17.508796481407437,17.51219512195122,17.515593762495,17.518992403038784,17.522391043582566,17.525789684126348,17.52918832467013,17.532586965213916,17.5359856057577,17.53938424630148,17.542782886845263,17.546181527389045,17.549580167932827,17.55297880847661,17.556377449020392,17.559776089564174,17.563174730107956,17.56657337065174,17.56997201119552,17.573370651739303,17.576769292283085,17.580167932826868,17.583566573370653,17.586965213914436,17.590363854458218,17.593762495002,17.597161135545782,17.600559776089565,17.603958416633347,17.60735705717713,17.61075569772091,17.614154338264694,17.617552978808476,17.620951619352258,17.62435025989604,17.627748900439823,17.631147540983605,17.63454618152739,17.637944822071173,17.641343462614955,17.644742103158737,17.64814074370252,17.651539384246302,17.654938024790084,17.658336665333866,17.66173530587765,17.66513394642143,17.668532586965213,17.671931227508995,17.675329868052778,17.67872850859656,17.682127149140342,17.685525789684128,17.68892443022791,17.692323070771693,17.695721711315475,17.699120351859257,17.70251899240304,17.70591763294682,17.709316273490604,17.712714914034386,17.71611355457817,17.71951219512195,17.722910835665733,17.726309476209515,17.729708116753297,17.73310675729708,17.736505397840865,17.739904038384648,17.74330267892843,17.746701319472212,17.750099960015994,17.753498600559777,17.75689724110356,17.76029588164734,17.763694522191123,17.767093162734906,17.770491803278688,17.77389044382247,17.777289084366252,17.780687724910035,17.784086365453817,17.787485005997603,17.790883646541385,17.794282287085167,17.79768092762895,17.80107956817273,17.804478208716514,17.807876849260296,17.81127548980408,17.81467413034786,17.818072770891643,17.821471411435425,17.824870051979207,17.82826869252299,17.831667333066772,17.835065973610554,17.83846461415434,17.841863254698122,17.845261895241904,17.848660535785687,17.85205917632947,17.85545781687325,17.858856457417033,17.862255097960816,17.865653738504598,17.86905237904838,17.872451019592162,17.875849660135945,17.879248300679727,17.88264694122351,17.88604558176729,17.889444222311077,17.89284286285486,17.89624150339864,17.899640143942424,17.903038784486206,17.90643742502999,17.90983606557377,17.913234706117553,17.916633346661335,17.920031987205117,17.9234306277489,17.926829268292682,17.930227908836464,17.933626549380246,17.93702518992403,17.940423830467815,17.943822471011597,17.94722111155538,17.95061975209916,17.954018392642944,17.957417033186726,17.960815673730508,17.96421431427429,17.967612954818073,17.971011595361855,17.974410235905637,17.97780887644942,17.9812075169932,17.984606157536984,17.988004798080766,17.991403438624552,17.994802079168334,17.998200719712116,18.0015993602559,18.00499800079968,18.008396641343463,18.011795281887245,18.015193922431028,18.01859256297481,18.021991203518592,18.025389844062374,18.028788484606157,18.03218712514994,18.03558576569372,18.038984406237503,18.04238304678129,18.04578168732507,18.049180327868854,18.052578968412636,18.055977608956418,18.0593762495002,18.062774890043983,18.066173530587765,18.069572171131547,18.07297081167533,18.07636945221911,18.079768092762894,18.083166733306676,18.08656537385046,18.08996401439424,18.093362654938026,18.09676129548181,18.10015993602559,18.103558576569373,18.106957217113155,18.110355857656938,18.11375449820072,18.117153138744502,18.120551779288284,18.123950419832067,18.12734906037585,18.13074770091963,18.134146341463413,18.137544982007196,18.140943622550978,18.144342263094764,18.147740903638546,18.151139544182328,18.15453818472611,18.157936825269893,18.161335465813675,18.164734106357457,18.16813274690124,18.17153138744502,18.174930027988804,18.178328668532586,18.18172730907637,18.18512594962015,18.188524590163933,18.191923230707715,18.1953218712515,18.198720511795283,18.202119152339066,18.205517792882848,18.20891643342663,18.212315073970412,18.215713714514195,18.219112355057977,18.22251099560176,18.22590963614554,18.229308276689324,18.232706917233106,18.236105557776888,18.23950419832067,18.242902838864453,18.24630147940824,18.24970011995202,18.253098760495803,18.256497401039585,18.259896041583367,18.26329468212715,18.266693322670932,18.270091963214714,18.273490603758496,18.27688924430228,18.28028788484606,18.283686525389843,18.287085165933625,18.290483806477408,18.29388244702119,18.297281087564976,18.300679728108758,18.30407836865254,18.307477009196322,18.310875649740105,18.314274290283887,18.31767293082767,18.32107157137145,18.324470211915234,18.327868852459016,18.331267493002798,18.33466613354658,18.338064774090363,18.341463414634145,18.344862055177927,18.348260695721713,18.351659336265495,18.355057976809277,18.35845661735306,18.361855257896842,18.365253898440624,18.368652538984406,18.37205117952819,18.37544982007197,18.378848460615753,18.382247101159535,18.385645741703318,18.3890443822471,18.392443022790882,18.395841663334664,18.39924030387845,18.402638944422232,18.406037584966015,18.409436225509797,18.41283486605358,18.41623350659736,18.419632147141144,18.423030787684926,18.426429428228708,18.42982806877249,18.433226709316273,18.436625349860055,18.440023990403837,18.44342263094762,18.4468212714914,18.450219912035188,18.45361855257897,18.457017193122752,18.460415833666534,18.463814474210317,18.4672131147541,18.47061175529788,18.474010395841663,18.477409036385446,18.480807676929228,18.48420631747301,18.487604958016792,18.491003598560575,18.494402239104357,18.49780087964814,18.501199520191925,18.504598160735707,18.50799680127949,18.51139544182327,18.514794082367054,18.518192722910836,18.52159136345462,18.5249900039984,18.528388644542183,18.531787285085965,18.535185925629747,18.53858456617353,18.541983206717312,18.545381847261094,18.548780487804876,18.552179128348662,18.555577768892444,18.558976409436227,18.56237504998001,18.56577369052379,18.569172331067573,18.572570971611356,18.575969612155138,18.57936825269892,18.582766893242702,18.586165533786485,18.589564174330267,18.59296281487405,18.59636145541783,18.599760095961614,18.6031587365054,18.60655737704918,18.609956017592964,18.613354658136746,18.61675329868053,18.62015193922431,18.623550579768093,18.626949220311875,18.630347860855657,18.63374650139944,18.637145141943222,18.640543782487004,18.643942423030786,18.64734106357457,18.65073970411835,18.654138344662137,18.65753698520592,18.6609356257497,18.664334266293483,18.667732906837266,18.671131547381048,18.67453018792483,18.677928828468612,18.681327469012395,18.684726109556177,18.68812475009996,18.69152339064374,18.694922031187524,18.698320671731306,18.701719312275088,18.705117952818874,18.708516593362656,18.71191523390644,18.71531387445022,18.718712514994003,18.722111155537785,18.725509796081568,18.72890843662535,18.732307077169132,18.735705717712914,18.739104358256697,18.74250299880048,18.74590163934426,18.749300279888043,18.752698920431826,18.75609756097561,18.759496201519394,18.762894842063176,18.766293482606958,18.76969212315074,18.773090763694523,18.776489404238305,18.779888044782087,18.78328668532587,18.78668532586965,18.790083966413434,18.793482606957216,18.796881247501,18.80027988804478,18.803678528588563,18.80707716913235,18.81047580967613,18.813874450219913,18.817273090763695,18.820671731307478,18.82407037185126,18.827469012395042,18.830867652938824,18.834266293482607,18.83766493402639,18.84106357457017,18.844462215113953,18.847860855657736,18.851259496201518,18.8546581367453,18.858056777289086,18.861455417832868,18.86485405837665,18.868252698920433,18.871651339464215,18.875049980007997,18.87844862055178,18.88184726109556,18.885245901639344,18.888644542183126,18.89204318272691,18.89544182327069,18.898840463814473,18.902239104358255,18.905637744902037,18.909036385445823,18.912435025989605,18.915833666533388,18.91923230707717,18.922630947620952,18.926029588164734,18.929428228708517,18.9328268692523,18.93622550979608,18.939624150339863,18.943022790883646,18.946421431427428,18.94982007197121,18.953218712514992,18.95661735305878,18.96001599360256,18.963414634146343,18.966813274690125,18.970211915233907,18.97361055577769,18.97700919632147,18.980407836865254,18.983806477409036,18.98720511795282,18.9906037584966,18.994002399040383,18.997401039584165,19.000799680127948,19.00419832067173,19.007596961215516,19.010995601759298,19.01439424230308,19.017792882846862,19.021191523390645,19.024590163934427,19.02798880447821,19.03138744502199,19.034786085565774,19.038184726109556,19.041583366653338,19.04498200719712,19.048380647740903,19.051779288284685,19.055177928828467,19.058576569372253,19.061975209916035,19.065373850459817,19.0687724910036,19.072171131547382,19.075569772091164,19.078968412634946,19.08236705317873,19.08576569372251,19.089164334266293,19.092562974810075,19.095961615353858,19.09936025589764,19.102758896441422,19.106157536985204,19.10955617752899,19.112954818072772,19.116353458616555,19.119752099160337,19.12315073970412,19.1265493802479,19.129948020791684,19.133346661335466,19.136745301879248,19.14014394242303,19.143542582966813,19.146941223510595,19.150339864054377,19.15373850459816,19.15713714514194,19.160535785685727,19.16393442622951,19.167333066773292,19.170731707317074,19.174130347860856,19.17752898840464,19.18092762894842,19.184326269492203,19.187724910035985,19.191123550579768,19.19452219112355,19.197920831667332,19.201319472211114,19.204718112754897,19.20811675329868,19.211515393842465,19.214914034386247,19.21831267493003,19.22171131547381,19.225109956017594,19.228508596561376,19.23190723710516,19.23530587764894,19.238704518192723,19.242103158736505,19.245501799280287,19.24890043982407,19.25229908036785,19.255697720911634,19.259096361455416,19.262495001999202,19.265893642542984,19.269292283086767,19.27269092363055,19.27608956417433,19.279488204718113,19.282886845261896,19.286285485805678,19.28968412634946,19.293082766893242,19.296481407437025,19.299880047980807,19.30327868852459,19.30667732906837,19.310075969612154,19.31347461015594,19.31687325069972,19.320271891243504,19.323670531787286,19.32706917233107,19.33046781287485,19.333866453418633,19.337265093962415,19.340663734506197,19.34406237504998,19.347461015593762,19.350859656137544,19.354258296681326,19.35765693722511,19.36105557776889,19.364454218312677,19.36785285885646,19.37125149940024,19.374650139944023,19.378048780487806,19.381447421031588,19.38484606157537,19.388244702119152,19.391643342662935,19.395041983206717,19.3984406237505,19.40183926429428,19.405237904838064,19.408636545381846,19.412035185925628,19.415433826469414,19.418832467013196,19.42223110755698,19.42562974810076,19.429028388644543,19.432427029188325,19.435825669732107,19.43922431027589,19.442622950819672,19.446021591363454,19.449420231907236,19.45281887245102,19.4562175129948,19.459616153538583,19.463014794082365,19.46641343462615,19.469812075169934,19.473210715713716,19.476609356257498,19.48000799680128,19.483406637345063,19.486805277888845,19.490203918432627,19.49360255897641,19.49700119952019,19.500399840063974,19.503798480607756,19.50719712115154,19.51059576169532,19.513994402239103,19.51739304278289,19.52079168332667,19.524190323870453,19.527588964414235,19.530987604958018,19.5343862455018,19.537784886045582,19.541183526589364,19.544582167133147,19.54798080767693,19.55137944822071,19.554778088764493,19.558176729308276,19.561575369852058,19.56497401039584,19.568372650939626,19.571771291483408,19.57516993202719,19.578568572570973,19.581967213114755,19.585365853658537,19.58876449420232,19.5921631347461,19.595561775289884,19.598960415833666,19.60235905637745,19.60575769692123,19.609156337465013,19.612554978008795,19.615953618552577,19.619352259096363,19.622750899640145,19.626149540183928,19.62954818072771,19.632946821271492,19.636345461815274,19.639744102359057,19.64314274290284,19.64654138344662,19.649940023990403,19.653338664534186,19.656737305077968,19.66013594562175,19.663534586165532,19.666933226709315,19.6703318672531,19.673730507796883,19.677129148340665,19.680527788884447,19.68392642942823,19.68732506997201,19.690723710515794,19.694122351059576,19.69752099160336,19.70091963214714,19.704318272690923,19.707716913234705,19.711115553778487,19.71451419432227,19.717912834866052,19.721311475409838,19.72471011595362,19.728108756497402,19.731507397041185,19.734906037584967,19.73830467812875,19.74170331867253,19.745101959216314,19.748500599760096,19.751899240303878,19.75529788084766,19.758696521391443,19.762095161935225,19.765493802479007,19.76889244302279,19.772291083566575,19.775689724110357,19.77908836465414,19.782487005197922,19.785885645741704,19.789284286285486,19.79268292682927,19.79608156737305,19.799480207916833,19.802878848460615,19.806277489004398,19.80967612954818,19.813074770091962,19.816473410635744,19.819872051179527,19.823270691723312,19.826669332267095,19.830067972810877,19.83346661335466,19.83686525389844,19.840263894442224,19.843662534986006,19.847061175529788,19.85045981607357,19.853858456617353,19.857257097161135,19.860655737704917,19.8640543782487,19.86745301879248,19.870851659336264,19.87425029988005,19.877648940423832,19.881047580967614,19.884446221511396,19.88784486205518,19.89124350259896,19.894642143142743,19.898040783686525,19.901439424230308,19.90483806477409,19.908236705317872,19.911635345861654,19.915033986405437,19.91843262694922,19.921831267493,19.925229908036787,19.92862854858057,19.93202718912435,19.935425829668134,19.938824470211916,19.942223110755698,19.94562175129948,19.949020391843263,19.952419032387045,19.955817672930827,19.95921631347461,19.96261495401839,19.966013594562174,19.969412235105956,19.97281087564974,19.976209516193524,19.979608156737307,19.98300679728109,19.98640543782487,19.989804078368653,19.993202718912436,19.996601359456218,20.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/runner.jl new file mode 100644 index 000000000000..ebb69370794b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/runner.jl @@ -0,0 +1,82 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2026 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON +using SpecialFunctions + +""" + gen( x, name ) + +Generate fixture data for the modified Bessel function of the +second kind of order one (K₁) and write to file. + +# Arguments + +* `x`: domain (positive values only) +* `name::AbstractString`: output filename + +# Examples + +```julia +julia> x = range( 1.0e-6, stop = 10.0, length = 2001 ); +julia> gen( x, "data.json" ); +``` +""" +function gen( x, name ) + y = Array{Float64}( undef, length(x) ); + for i in eachindex(x) + y[i] = besselk( 1, x[i] ); + end + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("expected", y) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Very small values: +x = range( 1.0e-5, stop = 0.8, length = 5003 ); +gen( x, "very_small.json" ); + +# Positive small values: +x = range( 0.8, stop = 3.0, length = 5003 ); +gen( x, "small_positive.json" ); + +# Positive medium values: +x = range( 3.0, stop = 20.0, length = 5003 ); +gen( x, "medium_positive.json" ); + +# Positive Large values: +x = range( 20.0, stop = 50.0, length = 5003 ); +gen( x, "large_positive.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/small_positive.json new file mode 100644 index 000000000000..7619dedb7054 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/small_positive.json @@ -0,0 +1 @@ +{"expected":[0.8617816344721801,0.8610596027917182,0.860338394169963,0.8596180072950204,0.858898440857803,0.8581796935520246,0.857461764074192,0.8567446511235961,0.8560283534023069,0.855312869615164,0.8545981984697695,0.8538843386764808,0.8531712889484048,0.8524590480013857,0.8517476145540042,0.8510369873275645,0.8503271650460899,0.8496181464363144,0.8489099302276767,0.8482025151523113,0.847495899945042,0.8467900833433749,0.8460850640874906,0.8453808409202382,0.8446774125871271,0.8439747778363191,0.8432729354186242,0.8425718840874897,0.8418716225989968,0.8411721497118507,0.8404734641873759,0.8397755647895068,0.8390784502847828,0.8383821194423403,0.8376865710339065,0.8369918038337913,0.8362978166188824,0.8356046081686359,0.8349121772650718,0.8342205226927654,0.8335296432388423,0.8328395376929693,0.8321502048473507,0.8314616434967185,0.8307738524383272,0.8300868304719483,0.8294005763998606,0.8287150890268462,0.8280303671601837,0.8273464096096388,0.8266632151874629,0.8259807827083799,0.8252991109895866,0.8246181988507407,0.823938045113957,0.8232586486038009,0.8225800081472803,0.8219021225738414,0.8212249907153608,0.8205486114061399,0.8198729834828967,0.8191981057847637,0.8185239771532753,0.817850596432368,0.8171779624683684,0.8165060741099922,0.8158349302083333,0.8151645296168616,0.8144948711914122,0.8138259537901849,0.813157776273732,0.8124903375049578,0.8118236363491081,0.8111576716737658,0.8104924423488463,0.8098279472465879,0.8091641852415492,0.8085011552106006,0.807838856032921,0.8071772865899881,0.8065164457655756,0.8058563324457466,0.8051969455188452,0.804538283875495,0.8038803464085885,0.8032231320132849,0.8025666395870023,0.8019108680294127,0.801255816242435,0.8006014831302308,0.799947867599197,0.7992949685579624,0.7986427849173781,0.797991315590516,0.7973405594926594,0.7966905155413013,0.7960411826561343,0.7953925597590474,0.7947446457741213,0.7940974396276202,0.793450940247988,0.792805146565842,0.7921600575139679,0.7915156720273124,0.7908719890429818,0.7902290075002306,0.7895867263404616,0.7889451445072161,0.7883042609461723,0.7876640746051359,0.7870245844340378,0.786385789384926,0.7857476884119639,0.7851102804714203,0.7844735645216682,0.7838375395231763,0.7832022044385057,0.7825675582323032,0.7819335998712977,0.7813003283242925,0.7806677425621625,0.7800358415578474,0.7794046242863459,0.7787740897247128,0.7781442368520523,0.7775150646495114,0.7768865721002781,0.7762587581895729,0.7756316219046464,0.7750051622347718,0.7743793781712416,0.7737542687073606,0.7731298328384439,0.7725060695618079,0.7718829778767684,0.7712605567846343,0.7706388052887021,0.7700177223942521,0.7693973071085425,0.7687775584408046,0.7681584754022378,0.7675400570060058,0.7669223022672288,0.7663052102029821,0.7656887798322886,0.7650730101761153,0.7644579002573675,0.7638434491008844,0.7632296557334353,0.7626165191837126,0.7620040384823279,0.7613922126618082,0.76078104075659,0.7601705218030153,0.7595606548393254,0.7589514389056576,0.7583428730440406,0.7577349562983884,0.7571276877144961,0.7565210663400371,0.7559150912245554,0.7553097614194627,0.7547050759780333,0.7541010339554004,0.7534976344085494,0.7528948763963162,0.7522927589793792,0.751691281220258,0.7510904421833065,0.7504902409347096,0.7498906765424779,0.7492917480764442,0.7486934546082574,0.7480957952113801,0.7474987689610817,0.7469023749344367,0.7463066122103171,0.7457114798693913,0.7451169769941164,0.7445231026687364,0.7439298559792762,0.7433372360135388,0.7427452418610987,0.7421538726132988,0.741563127363247,0.74097300520581,0.7403835052376104,0.7397946265570212,0.7392063682641631,0.7386187294608979,0.7380317092508267,0.737445306739284,0.7368595210333345,0.7362743512417678,0.7356897964750945,0.7351058558455429,0.734522528467054,0.7339398134552768,0.7333577099275654,0.7327762170029744,0.7321953338022535,0.7316150594478451,0.7310353930638803,0.7304563337761719,0.7298778807122147,0.7293000330011773,0.7287227897739013,0.7281461501628941,0.7275701133023285,0.7269946783280347,0.7264198443774996,0.7258456105898611,0.7252719761059038,0.7246989400680569,0.7241265016203878,0.7235546599085995,0.7229834140800276,0.7224127632836331,0.7218427066700024,0.7212732433913404,0.7207043726014691,0.7201360934558201,0.7195684051114349,0.7190013067269587,0.7184347974626363,0.7178688764803092,0.7173035429434109,0.7167387960169644,0.7161746348675774,0.7156110586634383,0.7150480665743126,0.7144856577715399,0.7139238314280284,0.7133625867182536,0.7128019228182524,0.7122418389056198,0.7116823341595062,0.7111234077606128,0.7105650588911876,0.7100072867350226,0.7094500904774491,0.708893469305336,0.7083374224070828,0.707781948972619,0.7072270481933994,0.7066727192623997,0.7061189613741147,0.7055657737245521,0.7050131555112306,0.7044611059331776,0.7039096241909221,0.7033587094864939,0.7028083610234197,0.7022585780067183,0.7017093596428977,0.7011607051399529,0.7006126137073594,0.7000650845560731,0.6995181168985241,0.6989717099486145,0.6984258629217146,0.6978805750346604,0.6973358455057476,0.6967916735547314,0.69624805840282,0.6957049992726742,0.695162495388401,0.6946205459755519,0.6940791502611195,0.6935383074735336,0.6929980168426582,0.6924582775997872,0.6919190889776428,0.69138045021037,0.6908423605335355,0.6903048191841222,0.689767825400528,0.6892313784225592,0.6886954774914317,0.6881601218497646,0.6876253107415772,0.6870910434122863,0.6865573191087038,0.6860241370790311,0.6854914965728575,0.6849593968411571,0.6844278371362854,0.6838968167119749,0.6833663348233334,0.6828363907268398,0.6823069836803419,0.6817781129430516,0.6812497777755436,0.6807219774397508,0.6801947111989622,0.6796679783178188,0.6791417780623109,0.6786161096997749,0.6780909724988905,0.677566365729677,0.6770422886634908,0.6765187405730221,0.6759957207322909,0.675473228416645,0.6749512629027575,0.6744298234686223,0.6739089093935509,0.6733885199581711,0.6728686544444228,0.6723493121355547,0.6718304923161214,0.6713121942719815,0.6707944172902933,0.6702771606595124,0.6697604236693883,0.6692442056109621,0.6687285057765626,0.6682133234598041,0.6676986579555835,0.6671845085600765,0.6666708745707357,0.6661577552862865,0.6656451500067256,0.6651330580333171,0.6646214786685897,0.6641104112163339,0.6635998549815991,0.6630898092706909,0.662580273391168,0.6620712466518397,0.6615627283627623,0.6610547178352372,0.6605472143818065,0.6600402173162532,0.6595337259535943,0.6590277396100808,0.6585222576031947,0.6580172792516454,0.6575128038753665,0.6570088307955151,0.6565053593344655,0.6560023888158106,0.6554999185643557,0.654997947906118,0.6544964761683221,0.6539955026793985,0.6534950267689804,0.6529950477679015,0.6524955650081918,0.6519965778230774,0.6514980855469742,0.6510000875154894,0.6505025830654153,0.6500055715347285,0.6495090522625874,0.6490130245893271,0.6485174878564607,0.648022441406673,0.6475278845838196,0.6470338167329239,0.6465402372001755,0.6460471453329251,0.6455545404796843,0.6450624219901222,0.6445707892150617,0.6440796415064795,0.6435889782175008,0.6430987987023971,0.6426091023165863,0.6421198884166266,0.6416311563602156,0.6411429055061889,0.6406551352145149,0.6401678448462941,0.6396810337637565,0.6391947013302582,0.6387088469102798,0.6382234698694234,0.6377385695744093,0.6372541453930758,0.6367701966943741,0.6362867228483681,0.6358037232262291,0.6353211972002366,0.6348391441437735,0.6343575634313249,0.6338764544384745,0.6333958165419031,0.6329156491193861,0.6324359515497903,0.6319567232130726,0.6314779634902767,0.6309996717635308,0.6305218474160453,0.6300444898321107,0.6295675983970951,0.6290911724974412,0.6286152115206649,0.6281397148553522,0.6276646818911569,0.6271901120187982,0.6267160046300594,0.6262423591177835,0.6257691748758735,0.6252964512992866,0.6248241877840357,0.6243523837271844,0.6238810385268457,0.6234101515821793,0.6229397222933898,0.6224697500617238,0.622000234289468,0.6215311743799471,0.6210625697375214,0.6205944197675832,0.6201267238765568,0.6196594814718944,0.6191926919620759,0.6187263547566036,0.6182604692660029,0.617795034901818,0.6173300510766112,0.6168655172039593,0.6164014326984528,0.6159377969756924,0.6154746094522876,0.6150118695458537,0.6145495766750112,0.6140877302593809,0.613626329719585,0.6131653744772423,0.612704863954967,0.612244797576367,0.611785174766041,0.6113259949495762,0.6108672575535475,0.6104089620055132,0.6099511077340151,0.6094936941685746,0.6090367207396918,0.6085801868788424,0.608124092018476,0.6076684355920147,0.60721321703385,0.6067584357793406,0.6063040912648111,0.6058501829275498,0.6053967102058054,0.6049436725387869,0.6044910693666602,0.6040389001305462,0.6035871642725187,0.6031358612356025,0.6026849904637714,0.6022345514019469,0.601784543495994,0.6013349661927214,0.6008858189398789,0.6004371011861536,0.599988812381171,0.5995409519754898,0.5990935194206034,0.5986465141689337,0.5981999356738323,0.5977537833895785,0.5973080567713747,0.5968627552753465,0.596417878358541,0.5959734254789233,0.5955293960953754,0.5950857896676945,0.5946426056565907,0.5941998435236843,0.5937575027315057,0.5933155827434913,0.5928740830239836,0.5924330030382278,0.5919923422523699,0.5915521001334556,0.5911122761494282,0.5906728697691265,0.5902338804622828,0.5897953076995208,0.5893571509523534,0.5889194096931833,0.5884820833952977,0.5880451715328684,0.5876086735809487,0.5871725890154731,0.5867369173132546,0.5863016579519827,0.5858668104102207,0.5854323741674065,0.5849983487038473,0.5845647335007211,0.5841315280400721,0.5836987318048108,0.5832663442787108,0.5828343649464083,0.5824027932933985,0.5819716288060358,0.5815408709715304,0.5811105192779475,0.580680573214205,0.5802510322700717,0.579821895936166,0.5793931637039529,0.5789648350657437,0.5785369095146935,0.5781093865447994,0.5776822656508986,0.5772555463286674,0.5768292280746182,0.5764033103860988,0.57597779276129,0.5755526746992043,0.5751279556996847,0.574703635263401,0.5742797128918494,0.5738561880873515,0.5734330603530516,0.5730103291929144,0.5725879941117247,0.5721660546150841,0.5717445102094115,0.571323360401939,0.5709026047007115,0.5704822426145848,0.5700622736532243,0.5696426973271026,0.5692235131474976,0.568804720626492,0.5683863192769703,0.5679683086126186,0.5675506881479219,0.5671334573981621,0.5667166158794168,0.566300163108559,0.5658840986032524,0.5654684218819535,0.5650531324639061,0.5646382298691427,0.5642237136184819,0.5638095832335254,0.5633958382366585,0.5629824781510478,0.5625695025006385,0.562156910810154,0.5617447026050933,0.5613328774117319,0.5609214347571163,0.5605103741690649,0.5600996951761663,0.5596893973077769,0.5592794800940204,0.558869943065785,0.5584607857547221,0.5580520076932455,0.5576436084145295,0.557235587452507,0.5568279443418676,0.5564206786180568,0.5560137898172748,0.5556072774764732,0.5552011411333563,0.5547953803263757,0.5543899945947327,0.5539849834783743,0.5535803465179925,0.5531760832550217,0.5527721932316395,0.5523686759907629,0.5519655310760485,0.5515627580318889,0.5511603564034133,0.5507583257364851,0.5503566655777006,0.5499553754743863,0.5495544549746001,0.5491539036271263,0.5487537209814778,0.5483539065878912,0.5479544599973282,0.5475553807614718,0.5471566684327268,0.5467583225642164,0.5463603427097827,0.5459627284239839,0.5455654792620929,0.5451685947800962,0.5447720745346932,0.5443759180832932,0.5439801249840147,0.5435846947956845,0.5431896270778352,0.542794921390705,0.5424005772952346,0.5420065943530675,0.5416129721265481,0.5412197101787196,0.5408268080733226,0.5404342653747942,0.540042081648268,0.5396502564595691,0.539258789375216,0.5388676799624176,0.5384769277890723,0.5380865324237661,0.537696493435773,0.5373068103950505,0.5369174828722403,0.536528510438668,0.536139892666339,0.5357516291279383,0.5353637193968298,0.5349761630470548,0.5345889596533294,0.534202108791044,0.5338156100362627,0.5334294629657206,0.5330436671568235,0.5326582221876456,0.5322731276369281,0.5318883830840806,0.5315039881091749,0.5311199422929482,0.5307362452167991,0.5303528964627875,0.5299698956136325,0.5295872422527119,0.5292049359640599,0.5288229763323665,0.5284413629429769,0.5280600953818883,0.527679173235749,0.5272985960918599,0.5269183635381686,0.526538475163273,0.5261589305564152,0.5257797293074838,0.5254008710070116,0.5250223552461729,0.5246441816167848,0.5242663497113038,0.5238888591228249,0.5235117094450821,0.523134900272444,0.5227584311999154,0.5223823018231344,0.5220065117383726,0.5216310605425314,0.5212559478331433,0.5208811732083698,0.520506736266999,0.520132636608446,0.5197588738327507,0.5193854475405775,0.5190123573332126,0.5186396028125637,0.5182671835811594,0.5178950992421469,0.5175233493992906,0.5171519336569715,0.5167808516201868,0.5164101028945468,0.5160396870862755,0.5156696038022074,0.515299852649789,0.5149304332370749,0.5145613451727279,0.5141925880660181,0.5138241615268211,0.513456065165617,0.5130882985934894,0.5127208614221235,0.5123537532638057,0.5119869737314229,0.5116205224384593,0.5112543989989976,0.5108886030277158,0.5105231341398881,0.5101579919513819,0.5097931760786575,0.5094286861387664,0.5090645217493517,0.5087006825286446,0.5083371680954654,0.5079739780692201,0.5076111120699023,0.5072485697180891,0.5068863506349413,0.5065244544422024,0.5061628807621978,0.5058016292178319,0.5054406994325886,0.5050800910305301,0.5047198036362948,0.5043598368750973,0.5040001903727266,0.5036408637555455,0.5032818566504882,0.5029231686850612,0.5025647994873402,0.5022067486859705,0.5018490159101654,0.5014916007897045,0.5011345029549338,0.5007777220367631,0.5004212576666663,0.5000651094766797,0.49970927709940094,0.4993537601679881,0.49899855831615736,0.49864367117818514,0.498289098388903,0.49793483958369905,0.4975808943985161,0.49722726246985194,0.4968739434347559,0.49652093693082916,0.49616824259622366,0.4958158600696411,0.49546378899033205,0.49511202899809337,0.4947605797332694,0.4944094408367497,0.4940586119499677,0.4937080927149003,0.4933578827740667,0.4930079817705276,0.4926583893478834,0.4923091051502738,0.4919601288223764,0.4916114600094061,0.49126309835711385,0.49091504351178583,0.49056729512024155,0.49021985282983377,0.4898727162884476,0.4895258851444987,0.4891793590469326,0.48883313764522385,0.4884872205893751,0.48814160752991576,0.48779629811790104,0.48745129200491083,0.4871065888430496,0.486762188284944,0.4864180899837432,0.48607429359311655,0.4857307987672543,0.48538760516086454,0.48504471242917413,0.4847021202279265,0.4843598282133813,0.48401783604231297,0.48367614337201037,0.48333474986027436,0.4829936551654197,0.4826528589462705,0.4823123608621618,0.48197216057293796,0.48163225773895113,0.48129265202106114,0.4809533430806339,0.4806143305795405,0.48027561418015685,0.47993719354536213,0.47959906833853777,0.4792612382235664,0.47892370286483266,0.47858646192721943,0.47824951507610913,0.47791286197738103,0.4775765022974128,0.47724043570307634,0.47690466186173913,0.47656918044126323,0.4762339911100029,0.4758990935368059,0.47556448739100954,0.4752301723424426,0.4748961480614231,0.4745624142187576,0.47422897048573975,0.47389581653415086,0.4735629520362566,0.4732303766648086,0.47289809009304257,0.47256609199467636,0.47223438204391016,0.47190295991542625,0.47157182528438624,0.47124097782643154,0.47091041721768223,0.470580143134736,0.47025015525466723,0.46992045325502607,0.4695910368138375,0.4692619056096014,0.46893305932129026,0.46860449762834855,0.468276220210693,0.4679482267487102,0.46762051692325735,0.46729309041565925,0.46696594690770954,0.46663908608166904,0.4663125076202641,0.46598621120668704,0.46566019652459434,0.4653344632581063,0.46500901109180565,0.46468383971073773,0.46435894880040796,0.464034338046783,0.4637100071362885,0.463385955755808,0.4630621835926831,0.46273869033471315,0.4624154756701519,0.46209253928770905,0.46176988087654874,0.4614475001262881,0.46112539672699715,0.4608035703691977,0.46048202074386235,0.4601607475424138,0.45983975045672426,0.45951902917911414,0.4591985834023518,0.4588784128196517,0.45855851712467527,0.45823889601152873,0.4579195491747622,0.45760047630936956,0.457281677110788,0.45696315127489584,0.456644898498013,0.4563269184768987,0.4560092109087535,0.4556917754912151,0.45537461192235934,0.45505771990069926,0.4547410991251849,0.45442474929520027,0.4541086701105654,0.4537928612715333,0.45347732247879063,0.45316205343345606,0.45284705383707996,0.45253232339164334,0.4522178617995569,0.45190366876366106,0.45158974398722357,0.45127608717394113,0.45096269802793615,0.45064957625375773,0.45033672155638,0.45002413364120103,0.4497118122140437,0.44939975698115275,0.44908796764919595,0.4487764439252618,0.44846518551685977,0.4481541921319193,0.4478434634787886,0.4475329992662347,0.44722279920344155,0.44691286300001054,0.446603190365959,0.4462937810117192,0.4459846346481387,0.4456757509864783,0.44536712973841175,0.44505877061602606,0.4447506733318184,0.44444283759869835,0.44413526312998414,0.44382794963940453,0.4435208968410961,0.44321410444960363,0.4429075721798791,0.44260129974728063,0.44229528686757247,0.4419895332569231,0.441684038631906,0.4413788027094979,0.44107382520707783,0.4407691058424276,0.44046464433372984,0.44016044039956786,0.4398564937589245,0.43955280413118253,0.43924937123612284,0.43894619479392405,0.43864327452516133,0.4383406101508069,0.43803820139222793,0.4377360479711871,0.43743414960984034,0.4371325060307381,0.436831116956823,0.4365299821114299,0.43622910121828484,0.435928474001505,0.4356281001855966,0.4353279794954559,0.43502811165636807,0.4347284963940045,0.43442913343442585,0.434130022504078,0.4338311633297929,0.43353255563878756,0.4332341991586636,0.43293609361740665,0.43263823874338475,0.4323406342653486,0.43204327991243036,0.43174617541414406,0.43144932050038337,0.43115271490142143,0.4308563583479115,0.43056025057088376,0.4302643913017466,0.4299687802722857,0.4296734172146627,0.4293783018614151,0.4290834339454556,0.42878881320007023,0.42849443935892007,0.42820031215603777,0.4279064313258295,0.4276127966030723,0.42731940772291493,0.427026264420876,0.42673336643284365,0.4264407134950755,0.42614830534419795,0.4258561417172044,0.42556422235145525,0.4252725469846778,0.42498111535496563,0.42468992720077664,0.42439898226093337,0.4241082802746222,0.4238178209813938,0.42352760412116014,0.4232376294341957,0.42294789666113625,0.4226584055429778,0.42236915582107765,0.4220801472371512,0.4217913795332732,0.4215028524518766,0.421214565735752,0.4209265191280467,0.42063871237226397,0.4203511452122634,0.42006381739225945,0.4197767286568206,0.4194898787508697,0.4192032674196819,0.4189168944088861,0.41863075946446254,0.41834486233274243,0.418059202760408,0.4177737804944919,0.4174885952823757,0.4172036468717907,0.4169189350108154,0.41663445944787664,0.4163502199317485,0.41606621621155093,0.4157824480367498,0.4154989151571567,0.4152156173229278,0.41493255428456244,0.4146497257929048,0.4143671315991407,0.4140847714547992,0.41380264511175036,0.41352075232220525,0.41323909283871596,0.41295766641417414,0.412676472801811,0.4123955117551956,0.41211478302823656,0.4118342863751788,0.4115540215506047,0.4112739883094328,0.4109941864069179,0.4107146155986495,0.4104352756405523,0.41015616628888396,0.40987728730023687,0.4095986384315356,0.40932021944003727,0.4090420300833308,0.4087640701193357,0.408486339306303,0.4082088374028131,0.4079315641677765,0.40765451936043134,0.40737770274034607,0.407101114067415,0.40682475310186034,0.40654861960423105,0.4062727133354028,0.40599703405657556,0.4057215815292749,0.4054463555153506,0.4051713557769764,0.40489658207664975,0.4046220341771896,0.4043477118417383,0.4040736148337595,0.40379974291703785,0.4035260958556783,0.4032526734141055,0.40297947535706496,0.40270650144961945,0.40243375145715116,0.40216122514535885,0.40188892228026013,0.4016168426281885,0.40134498595579293,0.40107335203003924,0.40080194061820784,0.4005307514878935,0.400259784407005,0.39998903914376505,0.3997185154667089,0.39944821314468426,0.39917813194685065,0.3989082716426794,0.39863863200195204,0.39836921279476084,0.39810001379150733,0.397831034762903,0.39756227547996725,0.3972937357140281,0.3970254152367218,0.3967573138199903,0.39648943123608316,0.396221767257556,0.39595432165727,0.39568709420839127,0.3954200846843898,0.39515329285904116,0.39488671850642293,0.3946203614009166,0.39435422131720554,0.39408829803027595,0.39382259131541414,0.3935571009482087,0.3932918267045479,0.3930267683606202,0.39276192569291357,0.3924972984782147,0.39223288649360866,0.3919686895164786,0.3917047073245054,0.3914409396956662,0.3911773864082345,0.39091404724078094,0.39065092197217,0.3903880103815621,0.39012531224841146,0.38986282735246663,0.38960055547376987,0.3893384963926556,0.38907664988975116,0.38881501574597543,0.3885535937425398,0.38829238366094576,0.388031385282985,0.3877705983907399,0.3875100227665824,0.38724965819317286,0.38698950445346075,0.386729561330683,0.38646982860836504,0.3862103060703184,0.3859509935006419,0.3856918906837201,0.38543299740422393,0.38517431344710856,0.38491583859761425,0.38465757264126565,0.3843995153638709,0.38414166655152193,0.3838840259905926,0.38362659346774,0.3833693687699029,0.38311235168430086,0.38285554199843497,0.3825989395000866,0.3823425439773174,0.382086355218468,0.38183037301215883,0.38157459714728736,0.3813190274130317,0.3810636635988455,0.38080850549446066,0.38055355288988535,0.38029880557540435,0.38004426334157815,0.37978992597924266,0.3795357932795087,0.3792818650337616,0.3790281410336605,0.3787746210711385,0.3785213049384015,0.37826819242792825,0.3780152833324694,0.37776257744504743,0.37751007455895624,0.37725777446776093,0.3770056769652964,0.37675378184566793,0.3765020889032498,0.37625059793268606,0.3759993087288891,0.37574822108703926,0.37549733480258457,0.3752466496712413,0.3749961654889912,0.3747458820520835,0.3744957991570329,0.37424591660061973,0.3739962341798896,0.3737467516921529,0.3734974689349837,0.37324838570622004,0.3729995018039641,0.37275081702657986,0.37250233117269477,0.3722540440411974,0.37200595543123915,0.3717580651422317,0.37151037297384787,0.37126287872602054,0.37101558219894276,0.3707684831930675,0.37052158150910625,0.37027487694802913,0.3700283693110649,0.3697820583997001,0.3695359440156778,0.36929002596099925,0.3690443040379223,0.3687987780489591,0.36855344779687976,0.3683083130847085,0.3680633737157241,0.36781862949346156,0.3675740802217076,0.3673297257045039,0.36708556574614565,0.36684160015118034,0.36659782872440744,0.3663542512708793,0.3661108675958991,0.3658676775050215,0.36562468080405264,0.36538187729904764,0.3651392667963119,0.3648968491024018,0.3646546240241213,0.36441259136852333,0.36417075094290935,0.36392910255482924,0.36368764601207976,0.3634463811227048,0.36320530769499537,0.36296442553748887,0.36272373445896805,0.36248323426846163,0.3622429247752428,0.3620028057888309,0.3617628771189885,0.36152313857572205,0.361283589969282,0.3610442311101621,0.3608050618090982,0.36056608187706923,0.3603272911252953,0.36008868936523913,0.3598502764086041,0.3596120520673343,0.35937401615361425,0.3591361684798686,0.35889850885876184,0.3586610371031977,0.35842375302631835,0.3581866564415051,0.3579497471623771,0.3577130250027908,0.3574764897768404,0.3572401412988575,0.3570039793834095,0.35676800384530083,0.35653221449957073,0.35629661116149475,0.3560611936465834,0.3558259617705811,0.35559091534946796,0.3553560541994568,0.3551213781369945,0.3548868869787616,0.3546525805416705,0.35441845864286653,0.35418452109972764,0.35395076772986284,0.35371719835111237,0.3534838127815476,0.3532506108394714,0.3530175923434153,0.3527847571121416,0.35255210496464223,0.3523196357201381,0.35208734919807866,0.35185524521814193,0.3516233236002338,0.35139158416448824,0.35116002673126645,0.350928651121156,0.35069745715497175,0.35046644465375465,0.35023561343877113,0.35000496333151365,0.34977449415369954,0.3495442057272712,0.349314097874395,0.3490841704174616,0.34885442317908577,0.34862485598210513,0.3483954686495808,0.3481662610047961,0.3479372328712568,0.34770838407269095,0.34747971443304815,0.3472512237764987,0.3470229119274344,0.3467947787104677,0.3465668239504304,0.34633904747237554,0.34611144910157426,0.34588402866351803,0.345656785983916,0.34542972088869744,0.3452028332040079,0.34497612275621187,0.3447495893718913,0.34452323287784475,0.3442970531010879,0.34407104986885223,0.34384522300858644,0.34361957234795426,0.34339409771483476,0.34316879893732194,0.3429436758437252,0.34271872826256794,0.3424939560225876,0.3422693589527351,0.34204493688217547,0.34182068964028606,0.34159661705665706,0.34137271896109117,0.34114899518360353,0.3409254455544204,0.34070206990397967,0.3404788680629302,0.3402558398621316,0.340032985132654,0.33981030370577747,0.33958779541299183,0.3393654600859962,0.3391432975566994,0.3389213076572176,0.33869949021987694,0.3384778450772109,0.3382563720619609,0.3380350710070758,0.3378139417457112,0.3375929841112303,0.33737219793720213,0.3371515830574023,0.33693113930581176,0.33671086651661736,0.3364907645242112,0.3362708331631901,0.3360510722683556,0.33583148167471305,0.33561206121747233,0.3353928107320464,0.33517373005405204,0.3349548190193085,0.3347360774638378,0.3345175052238648,0.3342991021358159,0.3340808680363189,0.33386280276220415,0.33364490615050185,0.33342717803844385,0.33320961826346207,0.33299222666318823,0.33277500307545504,0.3325579473382939,0.33234105928993524,0.3321243387688089,0.3319077856135437,0.3316913996629658,0.33147518075610005,0.3312591287321687,0.33104324343059177,0.33082752469098586,0.33061197235316453,0.3303965862571383,0.3301813662431133,0.32996631215149147,0.32975142382287054,0.3295367010980442,0.3293221438179999,0.32910775182392055,0.3288935249571827,0.3286794630593584,0.328465565972212,0.32825183353770176,0.32803826559797955,0.3278248619953899,0.32761162257246956,0.3273985471719482,0.327185635636747,0.3269728878099791,0.32676030353494856,0.3265478826551516,0.32633562501427416,0.3261235304561933,0.32591159882497645,0.32569982996488045,0.32548822372035213,0.32527677993602755,0.3250654984567322,0.32485437912747994,0.3246434217934735,0.3244326263001032,0.324221992492948,0.32401152021777424,0.32380120932053535,0.32359105964737245,0.32338107104461244,0.32317124335876957,0.32296157643654444,0.32275207012482254,0.3225427242706761,0.3223335387213621,0.32212451332432296,0.3219156479271853,0.32170694237776104,0.3214983965240457,0.32129001021421927,0.3210817832966448,0.3208737156198692,0.3206658070326228,0.3204580573838178,0.3202504665225498,0.32004303429809633,0.3198357605599172,0.31962864515765355,0.319421687941128,0.31921488876034515,0.3190082474654895,0.31880176390692666,0.3185954379352026,0.318389269401043,0.31818325815535414,0.3179774040492211,0.3177717069339085,0.31756616666086007,0.31736078308169813,0.31715555604822354,0.31695048541241533,0.31674557102643,0.31654081274260276,0.3163362104134452,0.31613176389164677,0.3159274730300727,0.3157233376817663,0.3155193576999463,0.3153155329380071,0.3151118632495199,0.3149083484882305,0.31470498850806067,0.31450178316310706,0.31429873230764016,0.3140958357961062,0.3138930934831252,0.31369050522349046,0.31348807087216995,0.3132857902843044,0.313083663315208,0.3128816898203677,0.3126798696554433,0.3124782026762664,0.3122766887388419,0.3120753276993449,0.3118741194141238,0.31167306373969733,0.31147216053275556,0.3112714096501597,0.31107081094894096,0.31087036428630155,0.310670069519613,0.3104699265064174,0.31026993510442596,0.3100700951715193,0.30987040656574727,0.30967086914532843,0.30947148276864966,0.30927224729426644,0.3090731625809024,0.3088742284874488,0.30867544487296406,0.3084768115966747,0.3082783285179738,0.30807999549642157,0.30788181239174417,0.30768377906383476,0.30748589537275206,0.3072881611787212,0.30709057634213216,0.3068931407235407,0.3066958541836675,0.30649871658339845,0.30630172778378356,0.3061048876460369,0.3059081960315376,0.30571165280182816,0.30551525781861444,0.3053190109437656,0.30512291203931524,0.3049269609674578,0.30473115759055225,0.3045355017711185,0.3043399933718396,0.30414463225556,0.3039494182852863,0.30375435132418604,0.30355943123558854,0.3033646578829836,0.3031700311300218,0.30297555084051436,0.3027812168784331,0.3025870291079091,0.3023929873932338,0.3021990915988582,0.30200534158939213,0.30181173722960525,0.30161827838442534,0.3014249649189395,0.3012317966983921,0.3010387735881868,0.30084589545388507,0.3006531621612051,0.3004605735760239,0.30026812956437415,0.3000758299924472,0.29988367472658967,0.2996916636333057,0.2994997965792554,0.2993080734312546,0.2991164940562758,0.29892505832144595,0.29873376609404867,0.2985426172415217,0.29835161163145835,0.29816074913160656,0.297970029609868,0.29777945293429975,0.2975890189731122,0.2973987275946697,0.29720857866748973,0.2970185720602442,0.29682870764175734,0.29663898528100596,0.29644940484712046,0.296259966209383,0.2960706692372286,0.2958815138002437,0.29569249976816675,0.29550362701088767,0.29531489539844785,0.2951263048010399,0.2949378550890073,0.29474954613284376,0.29456137780319414,0.294373349970853,0.29418546250676536,0.2939977152820259,0.29381010816787856,0.2936226410357173,0.2934353137570846,0.29324812620367213,0.29306107824732064,0.29287416976001895,0.292687400613904,0.2925007706812613,0.29231427983452435,0.29212792794627324,0.29194171488923676,0.2917556405362904,0.2915697047604565,0.291383907434904,0.2911982484329495,0.2910127276280546,0.29082734489382817,0.29064210010402425,0.290456993132543,0.2902720238534303,0.2900871921408763,0.2899024978692179,0.28971794091293546,0.28953352114665504,0.2893492384451463,0.28916509268332397,0.2889810837362461,0.28879721147911536,0.28861347578727725,0.2884298765362215,0.2882464136015804,0.28806308685912985,0.28787989618478815,0.28769684145461644,0.287513922544818,0.28733113933173887,0.2871484916918664,0.28696597950183,0.28678360263840125,0.2866013609784919,0.2864192543991561,0.2862372827775883,0.28605544599112404,0.28587374391723913,0.28569217643354966,0.2855107434178129,0.28532944474792504,0.2851482803019219,0.2849672499579802,0.2847863535944145,0.28460559108967926,0.284424962322368,0.28424446717121354,0.2840641055150856,0.2838838772329938,0.28370378220408543,0.2835238203076461,0.2833439914230982,0.28316429543000304,0.28298473220805814,0.28280530163709905,0.282626003597098,0.28244683796816433,0.2822678046305435,0.28208890346461774,0.28191013435090506,0.2817314971700603,0.2815529918028734,0.2813746181302702,0.2811963760333122,0.28101826539319563,0.28084028609125244,0.28066243800894874,0.2804847210278861,0.2803071350297998,0.2801296798965599,0.2799523555101708,0.27977516175277006,0.27959809850662976,0.27942116565415487,0.279244363077884,0.2790676906604887,0.2788911482847742,0.2787147358336777,0.2785384531902695,0.2783623002377519,0.27818627685945935,0.2780103829388592,0.2778346183595496,0.2776589830052609,0.2774834767598551,0.27730809950732493,0.27713285113179437,0.2769577315175186,0.2767827405488836,0.27660787811040516,0.2764331440867304,0.276258538362636,0.27608406082302867,0.2759097113529452,0.27573548983755164,0.27556139616214403,0.2753874302121471,0.275213591873115,0.2750398810307305,0.2748662975708053,0.2746928413792799,0.27451951234222255,0.2743463103458301,0.2741732352764274,0.2740002870204664,0.2738274654645279,0.27365477049531933,0.2734822019996757,0.27330975986455863,0.27313744397705736,0.2729652542243874,0.27279319049389117,0.272621252673037,0.27244944064942,0.2722777543107606,0.2721061935449059,0.27193475823982827,0.27176344828362486,0.2715922635645199,0.27142120397086134,0.2712502693911222,0.2710794597139012,0.27090877482792064,0.2707382146220277,0.27056777898519424,0.27039746780651575,0.2702272809752117,0.2700572183806253,0.2698872799122236,0.26971746545959685,0.2695477749124583,0.26937820816064484,0.2692087650941161,0.2690394456029541,0.2688702495773635,0.26870117690767176,0.2685322274843282,0.26836340119790447,0.2681946979390933,0.2680261175987099,0.26785766006769124,0.26768932523709515,0.26752111299810016,0.2673530232420068,0.2671850558602364,0.26701721074433016,0.2668494877859512,0.26668188687688044,0.26651440790902203,0.266347050774399,0.2661798153651528,0.2660127015735469,0.26584570929196266,0.2656788384129013,0.2655120888289836,0.26534546043294893,0.26517895311765566,0.26501256677608076,0.26484630130132003,0.2646801565865872,0.2645141325252146,0.2643482290106525,0.264182445936469,0.26401678319634947,0.26385124068409826,0.2636858182936357,0.26352051591899944,0.2633553334543453,0.26319027079394497,0.26302532783218696,0.2628605044635771,0.2626958005827368,0.26253121608440455,0.2623667508634342,0.2622024048147962,0.262038177833576,0.2618740698149757,0.2617100806543117,0.2615462102470169,0.26138245848863817,0.2612188252748384,0.2610553105013952,0.26089191406420004,0.2607286358592596,0.2605654757826949,0.2604024337307411,0.26023950959974723,0.2600767032861763,0.2599140146866048,0.25975144369772357,0.2595889902163364,0.25942665413936034,0.25926443536382526,0.2591023337868746,0.25894034930576443,0.2587784818178632,0.25861673122065176,0.2584550974117239,0.2582935802887855,0.2581321797496538,0.2579708956922585,0.25780972801464125,0.2576486766149546,0.2574877413914628,0.2573269222425419,0.2571662190666783,0.2570056317624697,0.2568451602286248,0.25668480436396257,0.256524564067413,0.25636443923801594,0.25620442977492197,0.2560445355773911,0.25588475654479387,0.2557250925766107,0.2555655435724306,0.2554061094319531,0.25524679005498646,0.2550875853414486,0.25492849519136607,0.25476951950487475,0.2546106581822187,0.25445191112375054,0.254293278229932,0.25413475940133246,0.25397635453862927,0.25381806354260905,0.2536598863141651,0.2535018227542986,0.25334387276411807,0.2531860362448403,0.2530283130977886,0.2528707032243939,0.2527132065261932,0.2525558229048316,0.25239855226205976,0.25224139449973576,0.2520843495198234,0.25192741722439327,0.2517705975156215,0.2516138902957913,0.25145729546728957,0.25130081293261136,0.25114444259435564,0.2509881843552273,0.25083203811803695,0.25067600378569915,0.2505200812612346,0.250364270447768,0.25020857124852913,0.25005298356685257,0.24989750730617688,0.24974214237004488,0.24958688866210352,0.24943174608610405,0.24927671454590164,0.2491217939454546,0.24896698418882504,0.24881228518017864,0.24865769682378444,0.2485032190240145,0.24834885168534393,0.24819459471235047,0.24804044800971486,0.24788641148222051,0.24773248503475323,0.2475786685723009,0.2474249619999537,0.24727136522290438,0.24711787814644665,0.24696450067597717,0.24681123271699296,0.24665807417509317,0.24650502495597856,0.24635208496545086,0.24619925410941312,0.246046532293869,0.24589391942492297,0.24574141540878072,0.24558902015174786,0.2454367335602305,0.2452845555407359,0.24513248599987042,0.24498052484434105,0.24482867198095418,0.2446769273166168,0.24452529075833426,0.24437376221321286,0.24422234158845696,0.24407102879137166,0.24391982372935858,0.2437687263099214,0.24361773644066087,0.24346685402927595,0.24331607898356586,0.24316541121142704,0.2430148506208545,0.24286439711994182,0.2427140506168798,0.2425638110199576,0.24241367823756285,0.24226365217817972,0.24211373275039072,0.2419639198628749,0.2418142134244095,0.2416646133438689,0.24151511953022345,0.2413657318925408,0.24121645033998645,0.24106727478182113,0.2409182051274031,0.24076924128618554,0.24062038316771978,0.24047163068165195,0.24032298373772454,0.2401744422457758,0.24002600611574001,0.23987767525764708,0.23972944958162146,0.2395813289978845,0.2394333134167516,0.23928540274863366,0.2391375969040366,0.23898989579356067,0.23884229932790196,0.23869480741785043,0.23854741997429038,0.23840013690820103,0.2382529581306549,0.23810588355281959,0.23795891308595643,0.23781204664142036,0.23766528413066032,0.2375186254652186,0.23737207055673154,0.2372256193169274,0.23707927165762976,0.23693302749075362,0.23678688672830803,0.23664084928239454,0.2364949150652072,0.23634908398903298,0.2362033559662518,0.23605773090933457,0.23591220873084623,0.23576678934344278,0.23562147265987243,0.23547625859297575,0.23533114705568364,0.23518613796102136,0.23504123122210316,0.23489642675213568,0.23475172446441694,0.2346071242723363,0.23446262608937388,0.23431822982910122,0.23417393540517947,0.23402974273136157,0.23388565172149134,0.2337416622895024,0.233597774349419,0.23345398781535479,0.23331030260151517,0.23316671862219437,0.2330232357917766,0.2328798540247362,0.23273657323563723,0.23259339333913287,0.23245031424996587,0.23230733588296892,0.23216445815306197,0.23202168097525694,0.23187900426465247,0.2317364279364365,0.23159395190588633,0.23145157608836775,0.23130930039933395,0.23116712475432794,0.23102504906898022,0.23088307325900975,0.23074119724022332,0.2305994209285156,0.23045774423986928,0.23031616709035477,0.23017468939612973,0.2300333110734394,0.22989203203861713,0.22975085220808208,0.22960977149834214,0.22946878982599034,0.2293279071077085,0.22918712326026414,0.22904643820051213,0.22890585184539272,0.22876536411193382,0.22862497491724956,0.22848468417853982,0.22834449181309033,0.22820439773827403,0.22806440187154844,0.22792450413045803,0.22778470443263174,0.2276450026957851,0.22750539883771884,0.22736589277631852,0.22722648442955523,0.22708717371548576,0.22694796055225108,0.22680884485807792,0.22666982655127635,0.22653090555024302,0.22639208177345793,0.22625335513948586,0.2261147255669758,0.2259761929746614,0.2258377572813599,0.22569941840597327,0.22556117626748645,0.2254230307849693,0.2252849818775747,0.2251470294645395,0.22500917346518343,0.2248714137989105,0.22473375038520724,0.22459618314364352,0.22445871199387277,0.2243213368556311,0.22418405764873722,0.22404687429309308,0.22390978670868245,0.2237727948155727,0.2236358985339132,0.22349909778393534,0.22336239248595277,0.22322578256036185,0.2230892679276405,0.22295284850834876,0.22281652422312812,0.222680294992702,0.22254416073787558,0.2224081213795355,0.22227217683864955,0.2221363270362663,0.2220005718935172,0.22186491133161332,0.22172934527184682,0.22159387363559124,0.22145849634430045,0.2213232133195098,0.2211880244828341,0.22105292975596869,0.2209179290606904,0.22078302231885583,0.22064820945240088,0.22051349038334264,0.22037886503377738,0.22024433332588145,0.22010989518191107,0.21997555052420215,0.21984129927516982,0.21970714135730912,0.21957307669319434,0.21943910520547885,0.21930522681689466,0.21917144145025322,0.2190377490284459,0.2189041494744418,0.21877064271128854,0.21863722866211344,0.2185039072501217,0.21837067839859628,0.21823754203090018,0.21810449807047355,0.21797154644083433,0.21783868706557966,0.21770591986838395,0.21757324477299925,0.2174406617032556,0.21730817058306065,0.2171757713364001,0.21704346388733653,0.2169112481600099,0.21677912407863778,0.21664709156751472,0.21651515055101198,0.2163833009535784,0.2162515426997396,0.21611987571409738,0.21598829992133078,0.21585681524619568,0.21572542161352357,0.21559411894822333,0.21546290717527902,0.21533178621975171,0.21520075600677863,0.2150698164615727,0.21493896750942224,0.21480820907569276,0.21467754108582446,0.2145469634653331,0.21441647613981082,0.21428607903492367,0.2141557720764151,0.2140255551901021,0.21389542830187747,0.2137653913377099,0.2136354442236409,0.21350558688578852,0.2133758192503456,0.2132461412435792,0.21311655279183087,0.21298705382151678,0.21285764425912804,0.2127283240312285,0.21259909306445818,0.2124699512855305,0.21234089862123193,0.21221193499842497,0.2120830603440432,0.2119542745850965,0.2118255776486674,0.21169696946191108,0.211568449952058,0.2114400190464108,0.2113116766723457,0.21118342275731236,0.21105525722883323,0.21092718001450367,0.21079919104199232,0.21067129023904063,0.21054347753346267,0.21041575285314548,0.2102881161260478,0.21016056728020174,0.21003310624371196,0.20990573294475404,0.2097784473115771,0.2096512492725024,0.20952413875592177,0.20939711569030103,0.20927018000417646,0.2091433316261568,0.20901657048492148,0.2088898965092223,0.2087633096278825,0.20863680976979715,0.2085103968639311,0.20838407083932234,0.2082578316250786,0.2081316791503798,0.2080056133444756,0.20787963413668692,0.20775374145640646,0.20762793523309592,0.20750221539628952,0.20737658187559058,0.20725103460067304,0.20712557350128144,0.20700019850723111,0.20687490954840676,0.2067497065547638,0.20662458945632628,0.20649955818319002,0.20637461266552026,0.20624975283355065,0.20612497861758552,0.2060002899479995,0.20587568675523496,0.2057511689698051,0.2056267365222918,0.20550238934334664,0.20537812736368946,0.20525395051411022,0.2051298587254667,0.20500585192868667,0.2048819300547666,0.20475809303477072,0.2046343407998326,0.20451067328115471,0.20438709041000663,0.20426359211772807,0.20414017833572615,0.2040168489954757,0.20389360402852105,0.20377044336647293,0.20364736694101135,0.20352437468388404,0.20340146652690594,0.2032786424019593,0.20315590224099606,0.2030332459760328,0.20291067353915623,0.20278818486251876,0.202665779878341,0.2025434585189102,0.20242122071658106,0.20229906640377524,0.2021769955129813,0.20205500797675507,0.20193310372771864,0.20181128269856094,0.20168954482203752,0.20156789003097142,0.20144631825825104,0.2013248294368308,0.2012034234997334,0.20108210038004573,0.20096086001092203,0.20083970232558246,0.20071862725731193,0.20059763473946343,0.2004767247054542,0.2003558970887679,0.20023515182295304,0.20011448884162494,0.19999390807846382,0.19987340946721505,0.19975299294169,0.19963265843576458,0.19951240588338096,0.19939223521854493,0.19927214637532883,0.19915213928786882,0.1990322138903666,0.19891237011708832,0.19879260790236566,0.19867292718059285,0.19855332788623198,0.1984338099538059,0.19831437331790527,0.198195017913183,0.19807574367435635,0.19795655053620761,0.19783743843358295,0.19771840730139226,0.19759945707460916,0.1974805876882722,0.19736179907748186,0.19724309117740452,0.1971244639232685,0.19700591725036676,0.1968874510940546,0.19676906538975233,0.19665076007294122,0.19653253507916893,0.1964143903440439,0.19629632580323744,0.1961783413924864,0.19606043704758713,0.19594261270440252,0.1958248682988555,0.19570720376693287,0.1955896190446832,0.19547211406821896,0.19535468877371426,0.19523734309740579,0.19512007697559275,0.19500289034463544,0.19488578314095836,0.19476875530104665,0.19465180676144805,0.19453493745877218,0.19441814732969084,0.19430143631093655,0.19418480433930418,0.19406825135165134,0.19395177728489654,0.19383538207601791,0.1937190656620584,0.19360282798011974,0.19348666896736608,0.19337058856102263,0.1932545866983761,0.19313866331677268,0.19302281835362187,0.19290705174639236,0.19279136343261427,0.19267575334987916,0.19256022143583784,0.19244476762820353,0.19232939186474843,0.19221409408330598,0.19209887422177,0.19198373221809525,0.1918686680102947,0.19175368153644398,0.19163877273467805,0.19152394154319113,0.19140918790023806,0.19129451174413412,0.19117991301325293,0.1910653916460295,0.1909509475809572,0.19083658075659046,0.1907222911115422,0.19060807858448517,0.19049394311415122,0.1903798846393322,0.19026590309887853,0.19015199843170077,0.1900381705767668,0.18992441947310607,0.18981074505980525,0.18969714727601025,0.1895836260609263,0.1894701813538163,0.18935681309400362,0.18924352122086904,0.18913030567385253,0.18901716639245128,0.18890410331622284,0.18879111638478185,0.18867820553780118,0.1885653707150129,0.1884526118562066,0.18833992890122941,0.18822732178998733,0.1881147904624443,0.18800233485862206,0.18788995491859944,0.18777765058251397,0.1876654217905602,0.18755326848299095,0.18744119060011602,0.18732918808230212,0.1872172608699751,0.18710540890361654,0.18699363212376646,0.18688193047102086,0.18677030388603377,0.1866587523095161,0.18654727568223559,0.18643587394501715,0.18632454703874232,0.18621329490434962,0.1861021174828336,0.18599101471524687,0.18587998654269755,0.18576903290635063,0.1856581537474279,0.18554734900720576,0.18543661862701963,0.1853259625482598,0.18521538071237265,0.18510487306086076,0.18499443953528263,0.18488408007725385,0.18477379462844482,0.18466358313058182,0.18455344552544672,0.18444338175487895,0.184333391760771,0.18422347548507312,0.1841136328697899,0.18400386385698173,0.18389416838876432,0.1837845464073094,0.18367499785484234,0.18356552267364493,0.18345612080605478,0.18334679219446343,0.1832375367813169,0.18312835450911777,0.1830192453204231,0.1829102091578434,0.1828012459640458,0.18269235568175088,0.1825835382537342,0.18247479362282618,0.1823661217319114,0.18225752252392963,0.18214899594187262,0.1820405419287902,0.1819321604277836,0.18182385138200818,0.18171561473467557,0.18160745042904988,0.1814993584084493,0.18139133861624657,0.18128339099586738,0.18117551549079244,0.1810677120445545,0.18095998060074198,0.1808523211029959,0.18074473349500997,0.1806372177205334,0.18052977372336707,0.1804224014473661,0.18031510083643884,0.18020787183454684,0.1801007143857045,0.17999362843397967,0.17988661392349312,0.17977967079841914,0.1796727990029835,0.17956599848146645,0.17945926917820096,0.17935261103757158,0.17924602400401635,0.17913950802202533,0.1790330630361423,0.17892668899096245,0.17882038583113438,0.17871415350135725,0.1786079919463852,0.17850190111102254,0.17839588094012634,0.17828993137860624,0.17818405237142376,0.17807824386359203,0.17797250580017657,0.17786683812629453,0.1777612407871155,0.17765571372785988,0.1775502568938007,0.1774448702302623,0.17733955368261964,0.17723430719630132,0.17712913071678543,0.1770240241896034,0.1769189875603354,0.17681402077461558,0.17670912377812742,0.17660429651660675,0.17649953893584014,0.17639485098166538,0.17629023259997056,0.17618568373669563,0.17608120433783128,0.17597679434941765,0.17587245371754778,0.17576818238836417,0.17566398030806032,0.17555984742288042,0.1754557836791183,0.17535178902311943,0.17524786340127965,0.17514400676004413,0.17504021904590966,0.1749365002054212,0.1748328501851769,0.17472926893182275,0.17462575639205513,0.17452231251262093,0.17441893724031743,0.17431563052199156,0.1742123923045381,0.17410922253490466,0.1740061211600874,0.1739030881271306,0.17380012338313078,0.1736972268752323,0.1735943985506298,0.17349163835656659,0.17338894624033527,0.17328632214927978,0.1731837660307911,0.17308127783230984,0.1729788575013267,0.17287650498538074,0.1727742202320603,0.17267200318900247,0.17256985380389353,0.17246777202446864,0.17236575779851165,0.1722638110738553,0.17216193179838105,0.1720601199200183,0.17195837538674705,0.17185669814659288,0.17175508814763288,0.17165354533799002,0.17155206966583764,0.17145066107939638,0.17134931952693508,0.17124804495677137,0.17114683731727062,0.17104569655684593,0.17094462262395932,0.1708436154671204,0.17074267503488688,0.17064180127586398,0.1705409941387051,0.17044025357211104,0.17033957952483045,0.17023897194566034,0.17013843078344437,0.17003795598707455,0.1699375475054889,0.16983720528767493,0.16973692928266645,0.16963671943954484,0.1695365757074381,0.16943649803552238,0.16933648637302134,0.169236540669204,0.16913666087338855,0.1690368469349376,0.1689370988032648,0.16883741642782624,0.1687377997581272,0.1686382487437201,0.1685387633342036,0.16843934347922151,0.16833998912846726,0.16824070023167859,0.16814147673864105,0.16804231859918486,0.16794322576318918,0.16784419818057797,0.167745235801322,0.16764633857543834,0.1675475064529893,0.1674487393840853,0.1673500373188807,0.16725140020757817,0.16715282800042414,0.16705432064771308,0.16695587809978377,0.16685750030702234,0.1667591872198587,0.16666093878877067,0.1665627549642803,0.16646463569695646,0.16636658093741166,0.16626859063630653,0.16617066474434558,0.16607280321227944,0.16597500599090312,0.16587727303105806,0.1657796042836309,0.16568199969955297,0.1655844592298012,0.1654869828253975,0.16538957043740915,0.16529222201694793,0.16519493751517086,0.16509771688328057,0.16500056007252328,0.16490346703419162,0.16480643771962053,0.1647094720801931,0.16461257006733465,0.16451573163251534,0.16441895672725085,0.16432224530310088,0.16422559731166966,0.1641290127046059,0.16403249143360277,0.16393603345039715,0.16383963870677126,0.1637433071545514,0.1636470387456065,0.16355083343185134,0.16345469116524533,0.163358611897789,0.1632625955815302,0.16316664216855922,0.16307075161100898,0.16297492386105908,0.1628791588709304,0.16278345659288906,0.1626878169792445,0.16259223998234887,0.16249672555459943,0.16240127364843646,0.1623058842163433,0.16221055721084654,0.16211529258451784,0.16202009028996986,0.16192495027985973,0.16182987250688924,0.16173485692380027,0.16163990348338098,0.16154501213846056,0.16145018284191248,0.16135541554665217,0.16126071020563923,0.16116606677187478,0.16107148519840409,0.16097696543831447,0.16088250744473662,0.16078811117084327,0.16069377656985062,0.16059950359501654,0.1605052921996428,0.16041114233707265,0.160317053960692,0.16022302702392904,0.16012906148025557,0.16003515728318482,0.15994131438627113,0.1598475327431133,0.15975381230735144,0.15966015303266792,0.1595665548727864,0.15947301778147366,0.15937954171253763,0.15928612661982988,0.15919277245724198,0.15909947917870793,0.1590062467382041,0.15891307508974864,0.15881996418740113,0.15872691398526245,0.1586339244374759,0.15854099549822626,0.15844812712173972,0.158355319262283,0.1582625718741667,0.15816988491173972,0.15807725832939581,0.15798469208156674,0.15789218612272793,0.15779974040739536,0.15770735489012536,0.1576150295255159,0.1575227642682078,0.15743055907287978,0.15733841389425393,0.15724632868709187,0.1571543034061978,0.15706233800641536,0.1569704324426297,0.15687858666976642,0.15678680064279263,0.15669507431671395,0.15660340764658026,0.1565118005874783,0.15642025309453755,0.15632876512292837,0.15623733662786038,0.15614596756458343,0.15605465788838904,0.1559634075546083,0.15587221651861252,0.15578108473581403,0.15569001216166345,0.15559899875165414,0.15550804446131825,0.1554171492462269,0.155326313061994,0.1552355358642711,0.15514481760875087,0.155054158251165,0.15496355774728604,0.15487301605292594,0.1547825331239351,0.1546921089162064,0.15460174338567015,0.15451143648829754,0.15442118818009853,0.15433099841712247,0.15424086715545934,0.15415079435123827,0.15406077996062678,0.15397082393983266,0.1538809262451032,0.15379108683272447,0.15370130565902196,0.15361158268036035,0.15352191785314406,0.1534323111338154,0.15334276247885606,0.15325327184478804,0.15316383918817147,0.15307446446560513,0.152985147633727,0.15289588864921413,0.15280668746878182,0.15271754404918544,0.1526284583472165,0.15253943031970865,0.15245045992353118,0.1523615471155947,0.1522726918528451,0.15218389409227007,0.15209515379089394,0.15200647090577948,0.15191784539402903,0.15182927721278222,0.1517407663192178,0.1516523126705512,0.15156391622403823,0.1514755769369717,0.15138729476668275,0.15129906967054052,0.15121090160595246,0.1511227905303637,0.15103473640125828,0.1509467391761568,0.1508587988126191,0.15077091526824124,0.15068308850065892,0.1505953184675448,0.15050760512660943,0.15041994843560105,0.15033234835230447,0.1502448048345439,0.15015731784018055,0.15006988732711235,0.1499825132532757,0.14989519557664363,0.14980793425522748,0.1497207292470757,0.14963358051027364,0.14954648800294423,0.14945945168324729,0.14937247150938124,0.14928554743957895,0.14919867943211335,0.1491118674452934,0.14902511143746422,0.14893841136700825,0.14885176719234655,0.14876517887193533,0.14867864636426756,0.14859216962787478,0.1485057486213238,0.14841938330321888,0.14833307363220075,0.14824681956694682,0.148160621066171,0.14807447808862503,0.14798839059309588,0.14790235853840616,0.14781638188341784,0.1477304605870278,0.14764459460816873,0.1475587839058098,0.14747302843895782,0.1473873281666554,0.14730168304797953,0.14721609304204686,0.1471305581080072,0.1470450782050479,0.14695965329239266,0.14687428332930028,0.14678896827506582,0.14670370808902153,0.14661850273053365,0.14653335215900615,0.14644825633387792,0.14636321521462328,0.14627822876075336,0.1461932969318146,0.1461084196873895,0.14602359698709533,0.1459388287905857,0.14585411505755005,0.1457694557477125,0.14568485082083402,0.1456003002367098,0.14551580395517094,0.14543136193608466,0.14534697413935202,0.14526264052490986,0.14517836105273293,0.1450941356828268,0.14500996437523564,0.14492584709003833,0.1448417837873462,0.14475777442730983,0.1446738189701123,0.14458991737597182,0.14450606960514228,0.14442227561791257,0.14433853537460584,0.1442548488355808,0.1441712159612308,0.1440876367119835,0.14400411104830174,0.1439206389306841,0.14383722031966148,0.14375385517580214,0.14367054345970762,0.14358728513201288,0.14350408015339006,0.14342092848454396,0.1433378300862142,0.14325478491917554,0.143171792944236,0.1430888541222391,0.14300596841406146,0.14292313578061608,0.14284035618284688,0.1427576295817357,0.14267495593829682,0.14259233521357725,0.14250976736866108,0.14242725236466428,0.14234479016273785,0.1422623807240664,0.14218002400986876,0.14209771998139772,0.1420154685999394,0.14193326982681417,0.14185112362337662,0.14176902995101495,0.14168698877115063,0.14160500004523927,0.14152306373477036,0.14144117980126622,0.14135934820628362,0.14127756891141277,0.14119584187827738,0.1411141670685334,0.14103254444387275,0.140950973966019,0.14086945559672973,0.1407879892977954,0.14070657503104075,0.1406252127583222,0.14054390244153053,0.14046264404259057,0.14038143752345908,0.14030028284612614,0.14021917997261465,0.14013812886498253,0.14005712948531715,0.13997618179574275,0.13989528575841428,0.13981444133552032,0.1397336484892819,0.1396529071819536,0.13957221737582232,0.13949157903320802,0.1394109921164634,0.13933045658797372,0.13924997241015732,0.13916953954546477,0.1390891579563796,0.1390088276054178,0.13892854845512786,0.13884832046809115,0.13876814360692102,0.1386880178342636,0.13860794311279756,0.13852791940523357,0.1384479466743151,0.13836802488281763,0.13828815399354905,0.13820833396934964,0.1381285647730916,0.13804884636767953,0.1379691787160503,0.13788956178117256,0.1378099955260474,0.13773047991370785,0.13765101490721868,0.13757160046967726,0.13749223656421217,0.1374129231539847,0.13733366020218743,0.1372544476720449,0.13717528552681377,0.13709617372978225,0.1370171122442703,0.1369381010336296,0.1368591400612437,0.1367802292905276,0.136701368684928,0.13662255820792332,0.13654379782302314,0.1364650874937692,0.13638642718373406,0.13630781685652224,0.13622925647576944,0.13615074600514274,0.13607228540834074,0.13599387464909318,0.13591551369116125,0.13583720249833742,0.13575894103444508,0.13568072926333935,0.13560256714890606,0.13552445465506224,0.1354463917457563,0.13536837838496732,0.13529041453670584,0.13521250016501296,0.13513463523396113,0.1350568197076535,0.13497905355022427,0.13490133672583834,0.13482366919869176,0.13474605093301095,0.13466848189305355,0.13459096204310758,0.13451349134749205,0.13443606977055653,0.13435869727668115,0.13428137383027675,0.13420409939578498,0.13412687393767767,0.13404969742045736,0.13397256980865688,0.13389549106684,0.13381846115960044,0.1337414800515624,0.13366454770738065,0.1335876640917402,0.13351082916935625,0.13343404290497432,0.13335730526337022,0.13328061620935003,0.13320397570774992,0.1331273837234361,0.133050840221305,0.13297434516628337,0.13289789852332748,0.1328215002574241,0.1327451503335897,0.13266884871687082,0.13259259537234408,0.13251639026511566,0.13244023336032182,0.13236412462312874,0.13228806401873208,0.1322120515123576,0.13213608706926075,0.1320601706547264,0.13198430223406948,0.13190848177263437,0.13183270923579518,0.13175698458895535,0.13168130779754825,0.1316056788270365,0.1315300976429123,0.13145456421069737,0.13137907849594282,0.13130364046422918,0.13122825008116643,0.13115290731239362,0.1310776121235793,0.13100236448042155,0.1309271643486473,0.1308520116940129,0.13077690648230392,0.130701848679335,0.13062683825095,0.13055187516302175,0.13047695938145226,0.13040209087217278,0.13032726960114308,0.1302524955343523,0.13017776863781866,0.1301030888775887,0.13002845621973863,0.12995387063037292,0.12987933207562508,0.12980484052165756,0.12973039593466137,0.12965599828085644,0.1295816475264914,0.12950734363784341,0.12943308658121846,0.12935887632295107,0.1292847128294044,0.1292105960669703,0.1291365260020689,0.12906250260114902,0.12898852583068807,0.12891459565719157,0.12884071204719388,0.1287668749672574,0.1286930843839731,0.12861934026396027,0.12854564257386647,0.12847199128036754,0.12839838635016762,0.12832482774999895,0.12825131544662213,0.12817784940682583,0.12810442959742682,0.12803105598527012,0.12795772853722873,0.12788444722020373,0.12781121200112397,0.12773802284694685,0.12766487972465732,0.12759178260126824,0.12751873144382053,0.12744572621938313,0.12737276689505245,0.12729985343795308,0.12722698581523706,0.1271541639940846,0.1270813879417034,0.1270086576253288,0.12693597301222395,0.12686333406967987,0.12679074076501462,0.12671819306557444,0.12664569093873274,0.12657323435189075,0.12650082327247714,0.1264284576679479,0.12635613750578667,0.12628386275350448,0.1262116333786396,0.126139449348758,0.1260673106314526,0.12599521719434387,0.12592316900507974,0.1258511660313349,0.12577920824081187,0.12570729560123983,0.12563542808037553,0.12556360564600275,0.12549182826593225,0.12542009590800204,0.12534840854007737,0.12527676613005,0.12520516864583944,0.1251336160553915,0.1250621083266792,0.12499064542770279,0.12491922732648897,0.1248478539910915,0.12477652538959115,0.12470524149009526,0.12463400226073817,0.12456280766968073,0.12449165768511081,0.12442055227524292,0.1243494914083181,0.12427847505260425,0.12420750317639587,0.12413657574801394,0.12406569273580619,0.1239948541081467,0.12392405983343627,0.12385330988010222,0.12378260421659801,0.12371194281140405,0.12364132563302678,0.12357075264999914,0.12350022383088062,0.12342973914425664,0.12335929855873937,0.12328890204296702,0.12321854956560409,0.12314824109534145,0.12307797660089605,0.12300775605101091,0.12293757941445561,0.12286744666002528,0.12279735775654159,0.12272731267285235,0.12265731137783091,0.12258735384037725,0.12251744002941689,0.12244756991390154,0.12237774346280889,0.12230796064514232,0.12223822142993129,0.12216852578623129,0.12209887368312321,0.12202926508971423,0.1219596999751368,0.12189017830854965,0.12182070005913695,0.1217512651961087,0.12168187368870041,0.12161252550617363,0.12154322061781507,0.12147395899293738,0.12140474060087864,0.12133556541100254,0.12126643339269844,0.12119734451538079,0.12112829874849006,0.12105929606149193,0.12099033642387728,0.12092141980516277,0.12085254617489016,0.12078371550262681,0.12071492775796534,0.12064618291052334,0.1205774809299442,0.12050882178589631,0.12044020544807318,0.12037163188619378,0.12030310107000194,0.12023461296926692,0.12016616755378313,0.12009776479336969,0.12002940465787124,0.11996108711715735,0.11989281214112238,0.11982457969968607,0.11975638976279275,0.1196882423004121,0.11962013728253844,0.11955207467919098,0.11948405446041403,0.11941607659627657,0.11934814105687243,0.11928024781232043,0.11921239683276381,0.11914458808837089,0.11907682154933465,0.11900909718587263,0.11894141496822723,0.11887377486666532,0.11880617685147854,0.11873862089298313,0.11867110696151989,0.11860363502745412,0.11853620506117578,0.11846881703309914,0.11840147091366322,0.11833416667333127,0.11826690428259105,0.11819968371195484,0.1181325049319591,0.11806536791316483,0.11799827262615735,0.11793121904154615,0.11786420712996523,0.1177972368620726,0.11773030820855072,0.11766342114010625,0.1175965756274699,0.11752977164139676,0.11746300915266594,0.1173962881320806,0.11732960855046813,0.11726297037867996,0.11719637358759154,0.11712981814810236,0.11706330403113607,0.11699683120763997,0.11693039964858556,0.11686400932496822,0.11679766020780737,0.11673135226814593,0.11666508547705105,0.11659885980561374,0.11653267522494846,0.11646653170619382,0.116400429220512,0.11633436773908896,0.11626834723313463,0.11620236767388212,0.11613642903258865,0.11607053128053499,0.11600467438902544,0.11593885832938806,0.11587308307297425,0.11580734859115913,0.11574165485534149,0.11567600183694329,0.1156103895074103,0.11554481783821163,0.11547928680083966,0.1154137963668106,0.11534834650766355,0.1152829371949614,0.1152175684002902,0.11515224009525936,0.11508695225150156,0.11502170484067291,0.11495649783445248,0.11489133120454288,0.1148262049226698,0.11476111896058204,0.11469607329005178,0.11463106788287414,0.11456610271086744,0.11450117774587319,0.11443629295975571,0.1143714483244027,0.1143066438117247,0.11424187939365527,0.11417715504215104,0.11411247072919144,0.11404782642677908,0.11398322210693916,0.1139186577417202,0.11385413330319336,0.11378964876345243,0.11372520409461435,0.11366079926881886,0.11359643425822831,0.11353210903502794,0.11346782357142561,0.11340357783965202,0.11333937181196055,0.11327520546062712,0.11321107875795045,0.11314699167625192,0.11308294418787522,0.11301893626518705,0.11295496788057635,0.11289103900645467,0.11282714961525626,0.1127632996794375,0.11269948917147768,0.11263571806387832,0.11257198632916317,0.1125082939398788,0.11244464086859379,0.11238102708789936,0.112317452570409,0.11225391728875837,0.11219042121560563,0.1121269643236312,0.11206354658553755,0.11200016797404956,0.11193682846191433,0.11187352802190105,0.11181026662680127,0.11174704424942833,0.11168386086261807,0.11162071643922836,0.11155761095213886,0.11149454437425173,0.1114315166784907,0.111368527837802,0.11130557782515355,0.11124266661353524,0.11117979417595909,0.11111696048545883,0.11105416551509041,0.1109914092379314,0.11092869162708131,0.1108660126556614,0.1108033722968152,0.1107407705237074,0.11067820730952499,0.11061568262747634,0.11055319645079191,0.11049074875272369,0.11042833950654533,0.11036596868555226,0.11030363626306162,0.11024134221241197,0.11017908650696376,0.11011686912009876,0.11005469002522043,0.10999254919575398,0.10993044660514581,0.10986838222686404,0.10980635603439827,0.10974436800125952,0.10968241810098031,0.10962050630711442,0.10955863259323734,0.10949679693294569,0.10943499929985752,0.10937323966761232,0.10931151800987085,0.10924983430031507,0.10918818851264837,0.10912658062059531,0.1090650105979017,0.10900347841833476,0.10894198405568264,0.10888052748375482,0.10881910867638181,0.10875772760741546,0.10869638425072864,0.10863507858021522,0.10857381056979042,0.10851258019339019,0.1084513874249717,0.10839023223851317,0.1083291146080137,0.10826803450749344,0.1082069919109936,0.10814598679257599,0.10808501912632375,0.10802408888634071,0.10796319604675149,0.1079023405817019,0.10784152246535804,0.10778074167190735,0.10771999817555786,0.10765929195053836,0.1075986229710983,0.1075379912115083,0.10747739664605906,0.10741683924906245,0.10735631899485083,0.10729583585777727,0.10723538981221555,0.10717498083255982,0.10711460889322506,0.10705427396864683,0.1069939760332811,0.10693371506160455,0.10687349102811411,0.10681330390732748,0.10675315367378285,0.1066930403020386,0.10663296376667375,0.10657292404228791,0.10651292110350058,0.10645295492495221,0.1063930254813032,0.10633313274723447,0.10627327669744728,0.10621345730666316,0.10615367454962389,0.10609392840109154,0.10603421883584845,0.10597454582869723,0.1059149093544605,0.10585530938798128,0.10579574590412272,0.10573621887776798,0.10567672828382053,0.10561727409720387,0.10555785629286153,0.10549847484575724,0.10543912973087467,0.10537982092321765,0.10532054839780992,0.10526131212969514,0.10520211209393726,0.10514294826561973,0.10508382061984634,0.10502472913174063,0.10496567377644608,0.10490665452912593,0.10484767136496356,0.10478872425916183,0.10472981318694372,0.10467093812355185,0.10461209904424873,0.10455329592431661,0.10449452873905742,0.10443579746379285,0.10437710207386444,0.10431844254463318,0.10425981885148011,0.10420123096980533,0.10414267887502913,0.10408416254259124,0.10402568194795088,0.1039672370665869,0.10390882787399795,0.10385045434570184,0.10379211645723617,0.10373381418415789,0.10367554750204357,0.10361731638648924,0.10355912081311026,0.10350096075754159,0.1034428361954374,0.10338474710247139,0.10332669345433673,0.10326867522674577,0.10321069239543022,0.10315274493614125,0.10309483282464914,0.10303695603674373,0.10297911454823376,0.10292130833494752,0.10286353737273253,0.10280580163745523,0.10274810110500149,0.10269043575127655,0.10263280555220428,0.10257521048372813,0.10251765052181051,0.1024601256424329,0.102402635821596,0.10234518103531946,0.10228776125964201,0.10223037647062147,0.10217302664433454,0.10211571175687711,0.10205843178436377,0.1020011867029284,0.10194397648872365,0.10188680111792105,0.10182966056671103,0.10177255481130318,0.10171548382792556,0.10165844759282533,0.1016014460822685,0.10154447927253969,0.10148754713994264,0.10143064966079955,0.10137378681145162,0.10131695856825866,0.10126016490759927,0.10120340580587073,0.10114668123948899,0.10108999118488882,0.1010333356185235,0.10097671451686495,0.10092012785640386,0.10086357561364931,0.10080705776512916,0.10075057428738979,0.10069412515699598,0.10063771035053136,0.1005813298445978,0.10052498361581572,0.10046867164082421,0.10041239389628054,0.10035615035886061,0.10029994100525882,0.10024376581218777,0.10018762475637866,0.10013151781458099,0.10007544496356252,0.10001940618010949,0.09996340144102649,0.0999074307231363,0.09985149400328008,0.09979559125831722,0.09973972246512543,0.09968388760060067,0.09962808664165694,0.09957231956522676,0.09951658634826051,0.09946088696772697,0.09940522140061309,0.0993495896239238,0.0992939916146822,0.09923842734992967,0.09918289680672546,0.09912739996214699,0.09907193679328971,0.09901650727726716,0.09896111139121085,0.09890574911227025,0.09885042041761301,0.09879512528442447,0.09873986368990814,0.09868463561128549,0.09862944102579567,0.09857427991069595,0.09851915224326153,0.09846405800078521,0.09840899716057795,0.09835396969996826,0.09829897559630277,0.09824401482694575,0.09818908736927913,0.09813419320070292,0.09807933229863466,0.09802450464050966,0.09796971020378104,0.09791494896591947,0.0978602209044135,0.09780552599676924,0.09775086422051044,0.09769623555317847,0.0976416399723325,0.09758707745554909,0.09753254798042255,0.09747805152456462,0.09742358806560471,0.09736915758118977,0.0973147600489841,0.0972603954466698,0.09720606375194625,0.09715176494253036,0.09709749899615655,0.0970432658905765,0.09698906560355959,0.09693489811289242,0.0968807633963791,0.09682666143184099,0.09677259219711691,0.09671855567006303,0.09666455182855278,0.0966105806504769,0.09655664211374353,0.09650273619627807,0.09644886287602301,0.09639502213093842,0.09634121393900126,0.09628743827820589,0.09623369512656399,0.09617998446210406,0.09612630626287212,0.09607266050693127,0.09601904717236145,0.09596546623726031,0.09591191767974203,0.09585840147793812,0.09580491760999726,0.09575146605408502,0.09569804678838414,0.09564465979109435,0.09559130504043224,0.09553798251463166,0.09548469219194329,0.0954314340506347,0.09537820806899061,0.09532501422531259,0.09527185249791893,0.09521872286514525,0.09516562530534364,0.09511255979688332,0.09505952631815012,0.09500652484754701,0.09495355536349363,0.09490061784442634,0.09484771226879848,0.09479483861508008,0.09474199686175791,0.09468918698733553,0.09463640897033306,0.0945836627892877,0.09453094842275303,0.09447826584929947,0.09442561504751396,0.09437299599600037,0.09432040867337886,0.09426785305828653,0.09421532912937686,0.09416283686532001,0.09411037624480281,0.09405794724652854,0.09400554984921694,0.09395318403160458,0.09390084977244417,0.09384854705050528,0.09379627584457367,0.09374403613345178,0.09369182789595845,0.09363965111092891,0.09358750575721488,0.09353539181368438,0.09348330925922195,0.09343125807272849,0.09337923823312118,0.09332724971933366,0.09327529251031601,0.09322336658503423,0.09317147192247105,0.09311960850162518,0.09306777630151183,0.09301597530116247,0.09296420547962456,0.09291246681596209,0.09286075928925515,0.0928090828785999,0.09275743756310903,0.09270582332191096,0.09265424013415058,0.09260268797898892,0.09255116683560288,0.09249967668318579,0.09244821750094694,0.09239678926811154,0.09234539196392126,0.09229402556763337,0.09224269005852147,0.0921913854158753,0.09214011161900011,0.09208886864721773,0.09203765647986556,0.09198647509629711,0.09193532447588196,0.09188420459800539,0.09183311544206871,0.0917820569874893,0.09173102921370013,0.09168003210015026,0.09162906562630456,0.09157812977164372,0.0915272245156644,0.09147634983787878,0.09142550571781523,0.09137469213501764,0.09132390906904574,0.09127315649947516,0.09122243440589703,0.09117174276791834,0.09112108156516203,0.09107045077726625,0.0910198503838853,0.09096928036468893,0.09091874069936257,0.09086823136760741,0.09081775234914011,0.090767303623693,0.09071688517101419,0.09066649697086718,0.09061613900303112,0.0905658112473007,0.09051551368348609,0.09046524629141335,0.09041500905092352,0.09036480194187359,0.09031462494413578,0.09026447803759789,0.09021436120216317,0.0901642744177505,0.09011421766429382,0.09006419092174286,0.09001419417006246,0.08996422738923304,0.08991429055925049,0.08986438366012578,0.08981450667188542,0.08976465957457128,0.08971484234824041,0.08966505497296542,0.0896152974288339,0.08956556969594899,0.08951587175442902,0.08946620358440739,0.08941656516603315,0.08936695647947021,0.08931737750489777,0.08926782822251035,0.08921830861251756,0.08916881865514423,0.08911935833063032,0.08906992761923098,0.08902052650121647,0.0889711549568721,0.08892181296649838,0.08887250051041093,0.0888232175689403,0.08877396412243224,0.08872474015124757,0.08867554563576198,0.08862638055636635,0.08857724489346651,0.08852813862748327,0.08847906173885256,0.0884300142080249,0.08838099601546621,0.0883320071416572,0.08828304756709339,0.08823411727228533,0.08818521623775842,0.088136344444053,0.08808750187172427,0.08803868850134226,0.08798990431349181,0.08794114928877277,0.0878924234077996,0.08784372665120177,0.08779505899962327,0.08774642043372313,0.08769781093417513,0.08764923048166762,0.0876006790569039,0.08755215664060174,0.08750366321349397,0.08745519875632785,0.08740676324986545,0.08735835667488341,0.08730997901217323,0.0872616302425408,0.0872133103468069,0.0871650193058067,0.08711675710039019,0.08706852371142185,0.0870203191197807,0.0869721433063604,0.08692399625206917,0.0868758779378297,0.08682778834457942,0.08677972745326994,0.08673169524486761,0.08668369170035334,0.08663571680072224,0.08658777052698412,0.08653985286016316,0.08649196378129806,0.08644410327144181,0.08639627131166175,0.08634846788304003,0.08630069296667274,0.08625294654367055,0.08620522859515842,0.08615753910227579,0.08610987804617627,0.08606224540802795,0.08601464116901303,0.08596706531032823,0.08591951781318445,0.08587199865880679,0.08582450782843477,0.08577704530332211,0.08572961106473664,0.08568220509396059,0.0856348273722902,0.0855874778810361,0.08554015660152307,0.08549286351508995,0.08544559860308985,0.08539836184688988,0.08535115322787143,0.08530397272743007,0.08525682032697528,0.08520969600793066,0.08516259975173417,0.08511553153983736,0.0850684913537064,0.08502147917482096,0.08497449498467514,0.08492753876477692,0.0848806104966482,0.08483371016182502,0.0847868377418574,0.08473999321830912,0.08469317657275825,0.08464638778679653,0.08459962684202971,0.08455289372007756,0.0845061884025736,0.08445951087116542,0.08441286110751432,0.08436623909329556,0.0843196448101983,0.08427307823992546,0.08422653936419386,0.08418002816473409,0.08413354462329052,0.08408708872162148,0.08404066044149894,0.08399425976470856,0.08394788667305013,0.08390154114833669,0.08385522317239535,0.08380893272706695,0.08376266979420584,0.08371643435568021,0.08367022639337186,0.0836240458891764,0.083577892825003,0.08353176718277441,0.0834856689444272,0.08343959809191145,0.08339355460719083,0.08334753847224277,0.08330154966905808,0.08325558817964121,0.0832096539860104,0.08316374707019711,0.0831178674142465,0.08307201500021734,0.08302618981018176,0.08298039182622552,0.08293462103044771,0.08288887740496113,0.08284316093189202,0.08279747159337981,0.0827518093715776,0.08270617424865205,0.08266056620678289,0.0826149852281636,0.08256943129500076,0.08252390438951462,0.08247840449393863,0.08243293159051968,0.08238748566151793,0.082342066689207,0.08229667465587372,0.08225130954381837,0.08220597133535434,0.08216066001280847,0.08211537555852093,0.08207011795484491,0.08202488718414713,0.0819796832288075,0.08193450607121892,0.08188935569378794,0.08184423207893385,0.08179913520908952,0.08175406506670088,0.08170902163422693,0.08166400489413998,0.0816190148289254,0.08157405142108173,0.08152911465312082,0.08148420450756724,0.08143932096695898,0.08139446401384709,0.08134963363079563,0.08130482980038177,0.08126005250519568,0.08121530172784067,0.08117057745093306,0.08112587965710209,0.08108120832899027,0.08103656344925289,0.08099194500055823,0.08094735296558771,0.08090278732703554,0.08085824806760901,0.08081373517002842,0.08076924861702672,0.08072478839135011,0.08068035447575755,0.08063594685302085,0.08059156550592489,0.0805472104172672,0.08050288156985828,0.08045857894652166,0.08041430253009338,0.08037005230342256,0.0803258282493711,0.08028163035081361,0.08023745859063763,0.08019331295174338,0.08014919341704393,0.08010509996946515,0.08006103259194548,0.08001699126743633,0.07997297597890175,0.07992898670931842,0.07988502344167596,0.07984108615897638,0.07979717484423465,0.07975328948047833,0.07970943005074747,0.07966559653809517,0.07962178892558677,0.0795780071963004,0.07953425133332698,0.07949052131976966,0.07944681713874463,0.07940313877338033,0.07935948620681789,0.0793158594222111,0.0792722584027261,0.07922868313154179,0.07918513359184953,0.0791416097668531,0.0790981116397689,0.07905463919382587,0.07901119241226527,0.07896777127834106,0.07892437577531945,0.07888100588647928,0.07883766159511175,0.07879434288452053,0.07875104973802162,0.0787077821389437,0.07866454007062743,0.07862132351642626,0.0785781324597058,0.07853496688384409,0.07849182677223161,0.078448712108271,0.0784056228753774,0.07836255905697831,0.07831952063651329,0.07827650759743457,0.07823351992320637,0.07819055759730531,0.07814762060322036,0.07810470892445262,0.07806182254451557,0.07801896144693475,0.07797612561524817,0.07793331503300592,0.07789052968377022,0.07784776955111572,0.07780503461862907,0.07776232486990914,0.0777196402885671,0.07767698085822596,0.07763434656252123,0.07759173738510045,0.07754915330962305,0.07750659431976094,0.07746406039919794,0.07742155153162995,0.07737906770076507,0.07733660889032325,0.07729417508403673,0.07725176626564978,0.07720938241891853,0.07716702352761137,0.07712468957550861,0.07708238054640247,0.07704009642409737,0.07699783719240956,0.07695560283516731,0.07691339333621097,0.07687120867939269,0.07682904884857664,0.07678691382763894,0.07674480360046758,0.07670271815096258,0.07666065746303571,0.07661862152061079,0.07657661030762344,0.07653462380802119,0.07649266200576335,0.07645072488482131,0.07640881242917798,0.07636692462282844,0.07632506144977927,0.07628322289404918,0.07624140893966848,0.07619961957067925,0.07615785477113557,0.07611611452510302,0.07607439881665919,0.07603270762989331,0.07599104094890634,0.07594939875781093,0.07590778104073162,0.0758661877818045,0.0758246189651774,0.07578307457500985,0.07574155459547324,0.07570005901075039,0.07565858780503576,0.07561714096253566,0.07557571846746802,0.07553432030406218,0.07549294645655942,0.07545159690921234,0.07541027164628532,0.07536897065205433,0.07532769391080679,0.07528644140684186,0.07524521312447022,0.07520400904801398,0.07516282916180693,0.07512167345019424,0.07508054189753285,0.07503943448819113,0.0749983512065487,0.07495729203699693,0.07491625696393873,0.07487524597178823,0.07483425904497122,0.07479329616792488,0.07475235732509784,0.07471144250095017,0.07467055167995336,0.07462968484659027,0.07458884198535529,0.07454802308075408,0.07450722811730373,0.07446645707953266,0.07442570995198078,0.07438498671919928,0.07434428736575059,0.07430361187620875,0.07426296023515878,0.07422233242719734,0.07418172843693217,0.07414114824898244,0.07410059184797847,0.07406005921856208,0.07401955034538617,0.07397906521311494,0.07393860380642385,0.07389816610999961,0.07385775210854023,0.07381736178675477,0.07377699512936362,0.07373665212109846,0.07369633274670187,0.073656036990928,0.07361576483854179,0.0735755162743196,0.07353529128304888,0.07349508984952818,0.07345491195856724,0.0734147575949869,0.0733746267436191,0.07333451938930696,0.07329443551690455,0.07325437511127712,0.07321433815730108,0.07317432463986373,0.07313433454386362,0.0730943678542102,0.07305442455582399,0.07301450463363664,0.07297460807259061,0.07293473485763965,0.0728948849737483,0.07285505840589215,0.0728152551390578,0.07277547515824288,0.07273571844845579,0.07269598499471616,0.0726562747820542,0.07261658779551147,0.07257692402014025,0.07253728344100363,0.07249766604317584,0.07245807181174183,0.07241850073179755,0.07237895278844982,0.07233942796681617,0.07229992625202529,0.0722604476292165,0.07222099208353995,0.07218155960015686,0.07214215016423897,0.07210276376096904,0.0720634003755406,0.07202405999315789,0.07198474259903608,0.07194544817840101,0.07190617671648931,0.0718669281985485,0.07182770260983656,0.07178849993562253,0.07174932016118604,0.0717101632718174,0.07167102925281775,0.07163191808949886,0.07159282976718317,0.07155376427120395,0.07151472158690492,0.07147570169964074,0.07143670459477656,0.07139773025768816,0.07135877867376207,0.07131984982839545,0.07128094370699596,0.07124206029498203,0.07120319957778261,0.07116436154083723,0.07112554616959613,0.07108675344951994,0.07104798336608002,0.07100923590475827,0.07097051105104701,0.0709318087904494,0.0708931291084788,0.07085447199065925,0.0708158374225254,0.07077722538962218,0.07073863587750527,0.07070006887174062,0.07066152435790485,0.07062300232158496,0.07058450274837832,0.07054602562389298,0.07050757093374731,0.07046913866357006,0.07043072879900054,0.07039234132568836,0.07035397622929365,0.07031563349548686,0.07027731310994889,0.07023901505837096,0.07020073932645478,0.07016248589991224,0.07012425476446588,0.07008604590584827,0.07004785930980251,0.07000969496208206,0.06997155284845052,0.06993343295468199,0.06989533526656087,0.06985725976988165,0.06981920645044942,0.06978117529407926,0.0697431662865967,0.06970517941383751,0.06966721466164766,0.06962927201588341,0.06959135146241127,0.0695534529871079,0.0695155765758603,0.06947772221456557,0.06943988988913101,0.06940207958547434,0.0693642912895231,0.06932652498721537,0.06928878066449906,0.0692510583073325,0.06921335790168413,0.0691756794335324,0.06913802288886599,0.06910038825368377,0.06906277551399456,0.06902518465581749,0.06898761566518156,0.06895006852812609,0.06891254323070035,0.06887503975896371,0.06883755809898562,0.0688000982368456,0.06876266015863321,0.06872524385044802,0.06868784929839966,0.06865047648860781,0.06861312540720213,0.06857579604032231,0.068538488374118,0.06850120239474887,0.06846393808838465,0.06842669544120492,0.06838947443939926,0.06835227506916718,0.06831509731671832,0.068277941168272,0.06824080661005763,0.0682036936283146,0.068166602209292,0.06812953233924907,0.06809248400445468,0.0680554571911879,0.06801845188573755,0.06798146807440217,0.06794450574349038,0.06790756487932063,0.06787064546822108,0.06783374749652989,0.06779687095059492,0.067760015816774,0.06772318208143469,0.06768636973095432,0.06764957875172013,0.06761280913012907,0.06757606085258785,0.06753933390551313,0.06750262827533106,0.06746594394847785,0.06742928091139924,0.0673926391505508,0.06735601865239783,0.06731941940341535,0.06728284139008808,0.06724628459891054,0.06720974901638681,0.06717323462903076,0.06713674142336605,0.06710026938592574,0.0670638185032528,0.06702738876189973,0.0669909801484288,0.06695459264941189,0.06691822625143037,0.06688188094107546,0.06684555670494792,0.06680925352965805,0.06677297140182586,0.06673671030808088,0.06670047023506233,0.06666425116941894,0.06662805309780899,0.06659187600690034,0.06655571988337054,0.06651958471390645,0.06648347048520474,0.06644737718397135,0.06641130479692196,0.06637525331078174,0.06633922271228515,0.06630321298817654,0.06626722412520933,0.06623125611014673,0.06619530892976137,0.06615938257083528,0.06612347702015998,0.06608759226453653,0.06605172829077524,0.06601588508569611,0.06598006263612836,0.06594426092891079,0.06590847995089154,0.06587271968892813,0.06583698012988752,0.06580126126064616,0.0657655630680897,0.0657298855391133,0.06569422866062144,0.06565859241952796,0.0656229768027561,0.06558738179723837,0.06555180738991671,0.06551625356774234,0.0654807203176758,0.06544520762668693,0.06540971548175495,0.06537424386986826,0.06533879277802478,0.0653033621932314,0.06526795210250451,0.06523256249286978,0.06519719335136197,0.06516184466502525,0.06512651642091297,0.06509120860608773,0.06505592120762141,0.065020654212595,0.06498540760809882,0.06495018138123239,0.06491497551910434,0.0648797900088326,0.06484462483754416,0.0648094799923753,0.0647743554604715,0.06473925122898724,0.06470416728508638,0.06466910361594169,0.06463406020873523,0.0645990370506582,0.06456403412891074,0.06452905143070244,0.06449408894325173,0.06445914665378621,0.0644242245495426,0.06438932261776671,0.06435444084571339,0.06431957922064667,0.06428473772983948,0.06424991636057391,0.06421511510014112,0.06418033393584127,0.06414557285498358,0.06411083184488622,0.06407611089287651,0.06404140998629074,0.0640067291124741,0.06397206825878092,0.06393742741257447,0.06390280656122696,0.06386820569211966,0.06383362479264273,0.06379906385019532,0.0637645228521856,0.06373000178603053,0.06369550063915617,0.06366101939899749,0.06362655805299824,0.06359211658861129,0.06355769499329825,0.06352329325452973,0.06348891135978521,0.06345454929655306,0.06342020705233055,0.0633858846146238,0.06335158197094777,0.06331729910882634,0.06328303601579219,0.06324879267938685,0.06321456908716078,0.06318036522667309,0.06314618108549193,0.06311201665119404,0.06307787191136514,0.06304374685359969,0.06300964146550096,0.06297555573468094,0.06294148964876056,0.06290744319536928,0.06287341636214555,0.06283940913673645,0.06280542150679785,0.06277145345999444,0.06273750498399945,0.062703576066495,0.06266966669517195,0.06263577685772981,0.06260190654187674,0.06256805573532967,0.06253422442581426,0.06250041260106483,0.06246662024882431,0.062432847356844394,0.0623990939128854,0.062365359904716346,0.06233164532011483,0.06229795014686708,0.062264274372768075,0.062230617985621406,0.062196980973239134,0.06216336332344207,0.06212976502405971,0.062096186062929895,0.062062626427899344,0.06202908610682314,0.061995565087565034,0.06196206335799751,0.061928580906001326,0.06189511771946594,0.06186167378628947,0.061828249094378326,0.061794843631647764,0.06176145738602129,0.061728090345431086,0.06169474249781789,0.06166141383113079,0.06162810433332758,0.06159481399237435,0.061561542796245795,0.06152829073292513,0.061495057790403915,0.06146184395668229,0.06142864921976886,0.06139547356768058,0.061362316988442946,0.06132917947008988,0.06129606100066376,0.06126296156821537,0.06122988116080381,0.06119681976649678,0.061163777373370316,0.06113075396950876,0.06109774954300503,0.061064764081960266,0.06103179757448403,0.060998850008694365,0.060965921372717516,0.06093301165468819,0.06090012084274953,0.060867248925052755,0.06083439588975768,0.06080156172503237,0.060768746419053186,0.06073594996000486,0.06070317233608037,0.06067041353548103,0.06063767354641653,0.06060495235710474,0.060572249955771866,0.06053956633065237,0.060506901469989015,0.06047425536203287,0.060441627995043115,0.06040901935728738,0.060376429437041364,0.06034385822258906,0.06031130570222285,0.06027877186424306,0.06024625669695844,0.06021376018868595,0.060181282327750545,0.060148823102485684,0.06011638250123278,0.060083960512341515,0.060051557124169826,0.060019172325083664,0.05998680610345725,0.05995445844767307,0.05992212934612144,0.05988981878720116,0.059857526759318914,0.05982525325088975,0.05979299825033667,0.05976076174609085,0.05972854372659155,0.05969634418028624,0.05966416309563038,0.059632000461087575,0.05959985626512949,0.05956773049623585,0.059535623142894546,0.05950353419360143,0.0594714636368605,0.05943941146118376,0.05940737765509124,0.0593753622071111,0.05934336510577939,0.059311386339640386,0.05927942589724624,0.05924748376715711,0.059215559937941205,0.05918365439817482,0.05915176713644209,0.059119898141335316,0.059088047401454534,0.059056214905408015,0.059024400641811886,0.058992604599290184,0.05896082676647502,0.058929067132006345,0.05889732568453211,0.05886560241270827,0.05883389730519858,0.05880221035067479,0.0587705415378166,0.05873889085531152,0.05870725829185514,0.05867564383615071,0.05864404747690956,0.05861246920285091,0.058580909002701756,0.05854936686519698,0.058517842779079454,0.05848633673309975,0.05845484871601641,0.058423378716595746,0.05839192672361198,0.058360492725847195,0.05832907671209119,0.058297678671141655,0.05826629859180416,0.05823493646289194,0.05820359227322618,0.05817226601163574,0.058140957666957385,0.05810966722803563,0.058078394683722695,0.05804714002287862,0.058015903234371356,0.05798468430707636,0.05795348322987703,0.05792229999166443,0.057891134581337406,0.057859986987802536,0.05782885719997409,0.05779774520677407,0.05776665099713233,0.05773557455998618,0.05770451588428091,0.057673474958969226,0.057642451773011825,0.0576114463153769,0.05758045857504031,0.05754948854098575,0.05751853620220439,0.057487601547695194,0.05745668456646478,0.0574257852475273,0.057394903579904726,0.05736403955262653,0.05733319315472983,0.05730236437525945,0.057271553203267725,0.0572407596278147,0.05720998363796801,0.057179225222802846,0.057148484371402006,0.057117761072855926,0.05708705531626254,0.05705636709072748,0.05702569638536379,0.05699504318929225,0.056964407491641084,0.05693378928154606,0.056903188548150616,0.056872605280605636,0.0568420394680695,0.05681149109970821,0.05678096016469519,0.05675044665221155,0.05671995055144576,0.05668947185159379,0.0566590105418592,0.056628566611453025,0.05659814004959367,0.056567730845507244,0.0565373389884271,0.0565069644675942,0.05647660727225692,0.056446267391671114,0.05641594481510009,0.05638563953181456,0.0563553515310927,0.05632508080222018,0.05629482733448992,0.05626459111720252,0.05623437213966584,0.056204170391195074,0.05617398586111303,0.056143818538749675,0.05611366841344256,0.0560835354745366,0.056053419711383966,0.05602332111334432,0.05599323966978467,0.05596317537007934,0.055933128203610086,0.055903098159765886,0.055873085227943216,0.05584308939754588,0.05581311065798483,0.05578314899867857,0.055753204409052806,0.05572327687854056,0.055693366396582275,0.05566347295262553,0.05563359653612531,0.05560373713654393,0.05557389474335083,0.0555440693460229,0.05551426093404426,0.05548446949690623,0.05545469502410747,0.05542493750515386,0.05539519692955855,0.05536547328684194,0.05533576656653163,0.05530607675816256,0.05527640385127678,0.0552467478354236,0.05521710870015961,0.05518748643504851,0.05515788102966123,0.0551282924735761,0.05509872075637826,0.05506916586766039,0.055039627797022185,0.05501010653407054,0.054980602068419565,0.05495111438969044,0.05492164348751169,0.05489218935151881,0.05486275197135447,0.054833331336668616,0.05480392743711818,0.05477454026236731,0.0547451698020873,0.054715816045956475,0.05468647898366034,0.05465715860489156,0.05462785489934974,0.054598567856741775,0.054569297466781526,0.05454004371919003,0.05451080660369534,0.05448158611003254,0.054452382227943893,0.05442319494717876,0.054394024257493394,0.05436487014865124,0.0543357326104227,0.05430661163258533,0.054277507204923636,0.05424841931722915,0.0542193479593005,0.05419029312094331,0.05416125479197019,0.05413223296220077,0.05410322762146164,0.05407423875958652,0.05404526636641603,0.05401631043179777,0.053987370945586324,0.053958447897643355,0.053929541277837306,0.053900651076043804,0.05387177728214522,0.05384291988603105,0.05381407887759768,0.05378525424674841,0.05375644598339356,0.053727654077450254,0.05369887851884264,0.05367011929750183,0.0536413764033657,0.05361264982637918,0.053583939556494056,0.053555245583668976,0.053526567897869554,0.053497906489068214,0.05346926134724434,0.053440632462384195,0.0534120198244808,0.0533834234235342,0.05335484324955119,0.0533262792925455,0.05329773154253762,0.05326919998955499,0.053240684623631795,0.05321218543480913,0.053183702413134915,0.05315523554866379,0.05312678483145743,0.05309835025158405,0.053069931799118925,0.053041529464143915,0.05301314323674787,0.05298477310702633,0.05295641906508162,0.05292808110102289,0.05289975920496607,0.05287145336703374,0.0528431635773555,0.052814889826067406,0.052786632103312456,0.05275839039924042,0.0527301647040077,0.05270195500777752,0.05267376130071976,0.05264558357301114,0.05261742181483502,0.05258927601638146,0.052561146167847336,0.05253303225943617,0.05250493428135813,0.052476852223830195,0.05244878607707595,0.052420735831325685,0.05239270147681643,0.05236468300379183,0.05233668040250218,0.05230869366320457,0.05228072277616256,0.052252767731646534,0.05222482851993341,0.052196905131306835,0.05216899755605706,0.05214110578448098,0.05211322980688205,0.0520853696135705,0.05205752519486305,0.052029696541083095,0.05200188364256057,0.051974086489632115,0.05194630507264091,0.051918539381936725,0.05189078940787593,0.05186305514082151,0.051835336571142934,0.051807633689216405,0.051779946485424465,0.051752274950156475,0.05172461907380821,0.05169697884678193,0.0516693542594866,0.05164174530233768,0.05161415196575707,0.051586574240173336,0.051559012116021485,0.05153146558374306,0.05150393463378619,0.051476419256605406,0.051448919442661833,0.05142143518242304,0.05139396646636311,0.051366513284962674,0.051339075628708736,0.05131165348809493,0.0512842468536212,0.05125685571579408,0.05122948006512655,0.05120211989213798,0.05117477518735434,0.051147445941307906,0.051120132144537436,0.0510928337875882,0.051065550861011846,0.05103828335536644,0.05101103126121656,0.05098379456913304,0.0509565732696933,0.05092936735348112,0.05090217681108662,0.05087500163310639,0.05084784181014345,0.05082069733280708,0.05079356819171306,0.050766454377483554,0.050739355880746996,0.050712272692138315,0.050685204802298725,0.05065815220187583,0.050631114881523644,0.05060409283190244,0.05057708604367888,0.050550094507525935,0.050523118214122996,0.0504961571541557,0.05046921131831606,0.0504422806973024,0.050415365281819384,0.050388465062577874,0.05036158003029525,0.05033471017569496,0.050307855489506934,0.05028101596246732,0.050254191585318506,0.05022738234880929,0.050200588243694624,0.050173809260735766,0.050147045390700314,0.05012029662436204,0.050093562952501024,0.050066844365903605,0.050040140855362306,0.05001345241167601,0.0499867790256497,0.04996012068809469,0.049933477389828534,0.04990684912167492,0.049880235874463844,0.04985363763903151,0.04982705440622024,0.049800486166878696,0.049773932911861656,0.049747394632030074,0.04972087131825123,0.049694362961398376,0.049667869552351154,0.04964139108199531,0.04961492754122265,0.04958847892093134,0.049562045212025514,0.04953562640541569,0.04950922249201836,0.04948283346275617,0.049456459308558035,0.04943010002035888,0.04940375558909983,0.04937742600572818,0.049351111261197164,0.0493248113464664,0.049298526252501466,0.04927225597027399,0.04924600049076189,0.04921975980494906,0.04919353390382547,0.04916732277838732,0.04914112641963672,0.04911494481858196,0.04908877796623746,0.04906262585362359,0.04903648847176688,0.049010365811699846,0.048984257864461186,0.04895816462109554,0.04893208607265358,0.048906022210192135,0.048879973024774065,0.04885393850746809,0.0488279186493492,0.04880191344149826,0.048775922875002174,0.048749946940953935,0.048723985630452424,0.048698038934602686,0.04867210684451571,0.04864618935130834,0.04862028644610368,0.04859439812003058,0.048568524364223986,0.04854266516982492,0.04851682052798013,0.048490990429842555,0.048465174866571044,0.04843937382933035,0.048413587309291246,0.04838781529763041,0.04836205778553052,0.048336314764180155,0.04831058622477387,0.0482848721585121,0.0482591725566013,0.04823348741025372,0.04820781671068769,0.04818216044912731,0.048156518616802674,0.048130891204949795,0.048105278204810475,0.048079679607632576,0.04805409540466977,0.04802852558718156,0.04800297014643345,0.04797742907369676,0.047951902360248704,0.04792638999737236,0.04790089197635664,0.04787540828849641,0.04784993892509227,0.04782448387745077,0.04779904313688431,0.04777361669471104,0.04774820454225502,0.047722806670846205,0.04769742307182022,0.0476720537365187,0.04764669865628891,0.0476213578224841,0.04759603122646329,0.047570718859591216,0.04754542071323851,0.04752013677878163,0.047494867047602723,0.047469611511089846,0.04744437016063668,0.04741914298764284,0.04739392998351373,0.04736873113966036,0.04734354644749969,0.04731837589845434,0.04729321948395272,0.04726807719542901,0.047242949024323064,0.04721783496208061,0.047192735000153044,0.047167649129997484,0.0471425773430768,0.04711751963085961,0.04709247598482027,0.04706744639643881,0.047042430857200966,0.04701742935859825,0.046992441892127854,0.04696746844929265,0.04694250902160124,0.046917563600567876,0.046892632177712536,0.04686771474456093,0.04684281129264431,0.04681792181349979,0.04679304629866999,0.04676818473970327,0.04674333712815371,0.04671850345558091,0.04669368371355023,0.04666887789363275,0.046644085987404965,0.04661930798644923,0.04659454388235344,0.04656979366671116,0.04654505733112156,0.04652033486718946,0.04649562626652524,0.046470931520744996,0.04644625062147035,0.04642158356032857,0.04639693032895254,0.0463722909189807,0.046347665322057155,0.04632305352983149,0.046298455533959025,0.04627387132610052,0.04624930089792242,0.04622474424109666,0.046200201347300865,0.046175672208218034,0.04615115681553694,0.04612665516095177,0.04610216723616228,0.046077693032873866,0.04605323254279736,0.04602878575764919,0.04600435266915133,0.045979933269031256,0.045955527549022,0.04593113550086204,0.04590675711629547,0.0458823923870719,0.04585804130494636,0.04583370386167948,0.045809380049037306,0.04578506985879145,0.04576077328271907,0.04573649031260264,0.045712220940230266,0.04568796515739551,0.045663722955897365,0.045639494327540345,0.045615279264134403,0.04559107775749499,0.04556688979944299,0.04554271538180471,0.045518554496412025,0.04549440713510217,0.04547027328971779,0.04544615295210707,0.04542204611412357,0.04539795276762628,0.04537387290447969,0.045349806516553556,0.04532575359572326,0.045301714133869464,0.04527768812287822,0.04525367555464108,0.04522967642105499,0.04520569071402219,0.04518171842545051,0.045157759547252915,0.04513381407134801,0.0451098819896596,0.04508596329411697,0.04506205797665474,0.04503816602921289,0.045014287443736804,0.04499042221217723,0.04496657032649019,0.044942731778637224,0.04491890656058502,0.04489509466430576,0.044871296081777,0.04484751080498145,0.044823738825907324,0.044799980136548095,0.04477623472890256,0.04475250259497491,0.04472878372677452,0.0447050781163162,0.044681385755620064,0.044657706636711425,0.044634040751621,0.04461038809238482,0.04458674865104413,0.04456312241964548,0.04453950939024077,0.044515909554887094,0.04449232290564692,0.04446874943458792,0.04444518913378306,0.04442164199531057,0.0443981080112539,0.044374587173701935,0.04435107947474851,0.04432758490649301,0.04430410346103992,0.044280635130498916,0.044257179906985064,0.04423373778261857,0.044210308749524856,0.044186892799834634,0.04416348992568378,0.044140100119213425,0.04411672337256996,0.04409335967790484,0.044070009027374894,0.04404667141314205,0.044023346827373494,0.04400003526224158,0.043976736709923823,0.04395345116260298,0.04393017861246698,0.04390691905170891,0.04388367247252705,0.04386043886712483,0.04383721822771092,0.04381401054649908,0.043790815815708234,0.04376763402756248,0.043744465174291085,0.043721309248128455,0.043698166241314146,0.04367503614609282,0.0436519189547143,0.043628814659433586,0.04360572325251073,0.04358264472621096,0.04355957907280465,0.04353652628456721,0.043513486353779225,0.043490459272726364,0.04346744503369941,0.043444443628994314,0.043421455050912,0.04339847929175858,0.04337551634384525,0.04335256619948823,0.043329628851008925,0.043306704290733716,0.04328379251099412,0.04326089350412675,0.0432380072624732,0.04321513377838021,0.04319227304419956,0.04316942505228804,0.043146589795007614,0.04312376726472514,0.04310095745381261,0.043078160354647066,0.04305537595961054,0.04303260426109017,0.04300984525147806,0.042987098923171346,0.04296436526857224,0.04294164428008789,0.042918935950130535,0.04289624027111743,0.04287355723547073,0.042850886835617746,0.04282822906399065,0.04280558391302673,0.04278295137516822,0.042760331442862266,0.04273772410856113,0.04271512936472202,0.04269254720380703,0.042669977618283374,0.04264742060062307,0.04262487614330327,0.042602344238806,0.04257982487961826,0.04255731805823198,0.042534823767144146,0.0425123419988565,0.04248987274587596,0.04246741600071418,0.04244497175588789,0.04242254000391874,0.042400120737333194,0.042377713948662764,0.04235531963044392,0.042332937775217856,0.04231056837553088,0.04228821142393412,0.042265866912983625,0.04224353483524038,0.04222121518327018,0.042198907949643844,0.04217661312693704,0.04215433070773022,0.042132060684608896,0.04210980305016331,0.0420875577969887,0.0420653249176851,0.042043104404857486,0.04202089625111561,0.041998700449074215,0.041976516991352755,0.04195434587057565,0.04193218707937217,0.04191004061037637,0.04188790645622721,0.04186578460956844,0.04184367506304873,0.04182157780932152,0.041799492841045074,0.04177742015088255,0.04175535973150185,0.04173331157557579,0.04171127567578193,0.04168925202480263,0.041667240615325174,0.0416452414400415,0.041623254491648484,0.04160127976284773,0.04157931724634563,0.04155736693485343,0.04153542882108712,0.04151350289776743,0.04149158915762002,0.04146968759337518,0.04144779819776801,0.04142592096353846,0.04140405588343114,0.04138220295019549,0.041360362156585714,0.04133853349536073,0.04131671695928426,0.0412949125411247,0.04127312023365529,0.041251340029654,0.04122957192190344,0.04120781590319105,0.04118607196630899,0.04116434010405411,0.041142620309228044,0.041120912574637083,0.04109921689309228,0.04107753325740943,0.04105586166040893,0.04103420209491605,0.041012554553760606,0.04099091902977719,0.04096929551580513,0.040947684004688345,0.04092608448927554,0.040904496962420066,0.04088292141697997,0.040861357845817944,0.04083980624180141,0.04081826659780245,0.040796738906697785,0.04077522316136881,0.04075371935470163,0.04073222747958696,0.040710747528920205,0.04068927949560137,0.04066782337253517,0.04064637915263095,0.040624946828802674,0.04060352639396897,0.040582117841053075,0.040560721162982906,0.040539336352690934,0.04051796340311436,0.040496602307194866,0.040475253057878906,0.040453915648117476,0.04043259007086614,0.04041127631908511,0.04038997438573931,0.04036868426379803,0.04034740594623537,0.04032613942602994,0.04030488469616493,0.04028364174962817,0.04026241057941198,0.040241191178513394,0.04021998353993394,0.04019878765667967,0.040177603521761356,0.0401564311281942],"x":[0.8,0.8004398240703718,0.8008796481407437,0.8013194722111155,0.8017592962814875,0.8021991203518593,0.8026389444222312,0.803078768492603,0.8035185925629749,0.8039584166333467,0.8043982407037185,0.8048380647740904,0.8052778888444622,0.8057177129148341,0.8061575369852059,0.8065973610555778,0.8070371851259496,0.8074770091963215,0.8079168332666933,0.8083566573370652,0.808796481407437,0.8092363054778089,0.8096761295481807,0.8101159536185526,0.8105557776889244,0.8109956017592963,0.8114354258296681,0.81187524990004,0.8123150739704118,0.8127548980407837,0.8131947221111555,0.8136345461815274,0.8140743702518992,0.8145141943222711,0.8149540183926429,0.8153938424630148,0.8158336665333866,0.8162734906037585,0.8167133146741303,0.8171531387445022,0.817592962814874,0.8180327868852459,0.8184726109556177,0.8189124350259896,0.8193522590963614,0.8197920831667334,0.8202319072371052,0.8206717313074771,0.8211115553778489,0.8215513794482208,0.8219912035185926,0.8224310275889645,0.8228708516593363,0.8233106757297081,0.82375049980008,0.8241903238704518,0.8246301479408237,0.8250699720111955,0.8255097960815674,0.8259496201519392,0.8263894442223111,0.8268292682926829,0.8272690923630548,0.8277089164334266,0.8281487405037985,0.8285885645741703,0.8290283886445422,0.829468212714914,0.8299080367852859,0.8303478608556577,0.8307876849260296,0.8312275089964014,0.8316673330667733,0.8321071571371451,0.832546981207517,0.8329868052778888,0.8334266293482607,0.8338664534186325,0.8343062774890044,0.8347461015593762,0.8351859256297481,0.8356257497001199,0.8360655737704918,0.8365053978408636,0.8369452219112355,0.8373850459816073,0.8378248700519793,0.838264694122351,0.838704518192723,0.8391443422630948,0.8395841663334667,0.8400239904038385,0.8404638144742104,0.8409036385445822,0.841343462614954,0.8417832866853259,0.8422231107556977,0.8426629348260696,0.8431027588964414,0.8435425829668133,0.8439824070371851,0.844422231107557,0.8448620551779288,0.8453018792483007,0.8457417033186725,0.8461815273890444,0.8466213514594162,0.8470611755297881,0.8475009996001599,0.8479408236705318,0.8483806477409036,0.8488204718112755,0.8492602958816473,0.8497001199520192,0.850139944022391,0.8505797680927629,0.8510195921631347,0.8514594162335066,0.8518992403038784,0.8523390643742503,0.8527788884446221,0.853218712514994,0.8536585365853658,0.8540983606557377,0.8545381847261095,0.8549780087964814,0.8554178328668532,0.8558576569372252,0.856297481007597,0.8567373050779689,0.8571771291483407,0.8576169532187126,0.8580567772890844,0.8584966013594563,0.8589364254298281,0.8593762495002,0.8598160735705718,0.8602558976409436,0.8606957217113155,0.8611355457816873,0.8615753698520592,0.862015193922431,0.8624550179928029,0.8628948420631747,0.8633346661335466,0.8637744902039184,0.8642143142742903,0.8646541383446621,0.865093962415034,0.8655337864854058,0.8659736105557777,0.8664134346261495,0.8668532586965214,0.8672930827668932,0.8677329068372651,0.8681727309076369,0.8686125549780088,0.8690523790483806,0.8694922031187525,0.8699320271891243,0.8703718512594962,0.870811675329868,0.8712514994002399,0.8716913234706117,0.8721311475409836,0.8725709716113554,0.8730107956817273,0.8734506197520991,0.873890443822471,0.8743302678928428,0.8747700919632148,0.8752099160335866,0.8756497401039585,0.8760895641743303,0.8765293882447022,0.876969212315074,0.8774090363854459,0.8778488604558177,0.8782886845261896,0.8787285085965614,0.8791683326669332,0.8796081567373051,0.8800479808076769,0.8804878048780488,0.8809276289484206,0.8813674530187925,0.8818072770891643,0.8822471011595362,0.882686925229908,0.8831267493002799,0.8835665733706517,0.8840063974410236,0.8844462215113954,0.8848860455817673,0.8853258696521391,0.885765693722511,0.8862055177928828,0.8866453418632547,0.8870851659336265,0.8875249900039984,0.8879648140743702,0.8884046381447421,0.8888444622151139,0.8892842862854858,0.8897241103558576,0.8901639344262295,0.8906037584966013,0.8910435825669732,0.891483406637345,0.891923230707717,0.8923630547780887,0.8928028788484607,0.8932427029188325,0.8936825269892044,0.8941223510595762,0.8945621751299481,0.8950019992003199,0.8954418232706918,0.8958816473410636,0.8963214714114355,0.8967612954818073,0.8972011195521792,0.897640943622551,0.8980807676929228,0.8985205917632947,0.8989604158336665,0.8994002399040384,0.8998400639744102,0.9002798880447821,0.9007197121151539,0.9011595361855258,0.9015993602558976,0.9020391843262695,0.9024790083966413,0.9029188324670132,0.903358656537385,0.9037984806077569,0.9042383046781287,0.9046781287485006,0.9051179528188724,0.9055577768892443,0.9059976009596161,0.906437425029988,0.9068772491003598,0.9073170731707317,0.9077568972411035,0.9081967213114754,0.9086365453818472,0.9090763694522191,0.9095161935225909,0.9099560175929629,0.9103958416633346,0.9108356657337066,0.9112754898040784,0.9117153138744503,0.9121551379448221,0.912594962015194,0.9130347860855658,0.9134746101559377,0.9139144342263095,0.9143542582966814,0.9147940823670532,0.9152339064374251,0.9156737305077969,0.9161135545781688,0.9165533786485406,0.9169932027189124,0.9174330267892843,0.9178728508596561,0.918312674930028,0.9187524990003998,0.9191923230707717,0.9196321471411435,0.9200719712115154,0.9205117952818872,0.9209516193522591,0.9213914434226309,0.9218312674930028,0.9222710915633746,0.9227109156337465,0.9231507397041183,0.9235905637744902,0.924030387844862,0.9244702119152339,0.9249100359856057,0.9253498600559776,0.9257896841263494,0.9262295081967213,0.9266693322670931,0.927109156337465,0.9275489804078368,0.9279888044782088,0.9284286285485805,0.9288684526189525,0.9293082766893243,0.9297481007596962,0.930187924830068,0.9306277489004399,0.9310675729708117,0.9315073970411836,0.9319472211115554,0.9323870451819273,0.9328268692522991,0.933266693322671,0.9337065173930428,0.9341463414634147,0.9345861655337865,0.9350259896041584,0.9354658136745302,0.935905637744902,0.9363454618152739,0.9367852858856457,0.9372251099560176,0.9376649340263894,0.9381047580967613,0.9385445821671331,0.938984406237505,0.9394242303078768,0.9398640543782487,0.9403038784486205,0.9407437025189924,0.9411835265893642,0.9416233506597361,0.9420631747301079,0.9425029988004798,0.9429428228708516,0.9433826469412235,0.9438224710115953,0.9442622950819672,0.944702119152339,0.945141943222711,0.9455817672930827,0.9460215913634547,0.9464614154338264,0.9469012395041984,0.9473410635745702,0.9477808876449421,0.9482207117153139,0.9486605357856858,0.9491003598560576,0.9495401839264295,0.9499800079968013,0.9504198320671732,0.950859656137545,0.9512994802079169,0.9517393042782887,0.9521791283486606,0.9526189524190324,0.9530587764894043,0.9534986005597761,0.9539384246301479,0.9543782487005198,0.9548180727708916,0.9552578968412635,0.9556977209116353,0.9561375449820072,0.956577369052379,0.9570171931227509,0.9574570171931227,0.9578968412634946,0.9583366653338664,0.9587764894042383,0.9592163134746101,0.959656137544982,0.9600959616153538,0.9605357856857257,0.9609756097560975,0.9614154338264694,0.9618552578968412,0.9622950819672131,0.9627349060375849,0.9631747301079568,0.9636145541783286,0.9640543782487005,0.9644942023190723,0.9649340263894443,0.965373850459816,0.965813674530188,0.9662534986005598,0.9666933226709317,0.9671331467413035,0.9675729708116754,0.9680127948820472,0.9684526189524191,0.9688924430227909,0.9693322670931628,0.9697720911635346,0.9702119152339065,0.9706517393042783,0.9710915633746502,0.971531387445022,0.9719712115153939,0.9724110355857657,0.9728508596561375,0.9732906837265094,0.9737305077968812,0.9741703318672531,0.9746101559376249,0.9750499800079968,0.9754898040783686,0.9759296281487405,0.9763694522191123,0.9768092762894842,0.977249100359856,0.9776889244302279,0.9781287485005997,0.9785685725709716,0.9790083966413434,0.9794482207117153,0.9798880447820871,0.980327868852459,0.9807676929228308,0.9812075169932027,0.9816473410635745,0.9820871651339464,0.9825269892043182,0.9829668132746902,0.983406637345062,0.9838464614154339,0.9842862854858057,0.9847261095561776,0.9851659336265494,0.9856057576969213,0.9860455817672931,0.986485405837665,0.9869252299080368,0.9873650539784087,0.9878048780487805,0.9882447021191524,0.9886845261895242,0.9891243502598961,0.9895641743302679,0.9900039984006398,0.9904438224710116,0.9908836465413835,0.9913234706117553,0.9917632946821271,0.992203118752499,0.9926429428228708,0.9930827668932427,0.9935225909636145,0.9939624150339864,0.9944022391043582,0.9948420631747301,0.9952818872451019,0.9957217113154738,0.9961615353858456,0.9966013594562175,0.9970411835265893,0.9974810075969612,0.997920831667333,0.9983606557377049,0.9988004798080767,0.9992403038784486,0.9996801279488204,1.0001199520191923,1.0005597760895641,1.000999600159936,1.001439424230308,1.0018792483006798,1.0023190723710516,1.0027588964414234,1.0031987205117954,1.0036385445821672,1.004078368652539,1.0045181927229108,1.0049580167932828,1.0053978408636546,1.0058376649340264,1.0062774890043982,1.0067173130747702,1.007157137145142,1.0075969612155138,1.0080367852858856,1.0084766093562576,1.0089164334266294,1.0093562574970012,1.009796081567373,1.010235905637745,1.0106757297081168,1.0111155537784886,1.0115553778488604,1.0119952019192322,1.0124350259896042,1.012874850059976,1.0133146741303478,1.0137544982007196,1.0141943222710916,1.0146341463414634,1.0150739704118352,1.015513794482207,1.015953618552579,1.0163934426229508,1.0168332666933226,1.0172730907636944,1.0177129148340665,1.0181527389044382,1.01859256297481,1.0190323870451818,1.0194722111155539,1.0199120351859257,1.0203518592562975,1.0207916833266693,1.0212315073970413,1.021671331467413,1.0221111555377849,1.0225509796081567,1.0229908036785287,1.0234306277489005,1.0238704518192723,1.024310275889644,1.024750099960016,1.025189924030388,1.0256297481007597,1.0260695721711315,1.0265093962415035,1.0269492203118753,1.027389044382247,1.027828868452619,1.028268692522991,1.0287085165933627,1.0291483406637345,1.0295881647341063,1.030027988804478,1.0304678128748501,1.030907636945222,1.0313474610155937,1.0317872850859655,1.0322271091563375,1.0326669332267093,1.0331067572970811,1.033546581367453,1.033986405437825,1.0344262295081967,1.0348660535785685,1.0353058776489403,1.0357457017193124,1.0361855257896841,1.036625349860056,1.0370651739304277,1.0375049980007998,1.0379448220711716,1.0383846461415434,1.0388244702119152,1.0392642942822872,1.039704118352659,1.0401439424230308,1.0405837664934026,1.0410235905637746,1.0414634146341464,1.0419032387045182,1.04234306277489,1.042782886845262,1.0432227109156338,1.0436625349860056,1.0441023590563774,1.0445421831267494,1.0449820071971212,1.045421831267493,1.0458616553378648,1.0463014794082368,1.0467413034786086,1.0471811275489804,1.0476209516193522,1.048060775689724,1.048500599760096,1.0489404238304678,1.0493802479008396,1.0498200719712114,1.0502598960415834,1.0506997201119552,1.051139544182327,1.0515793682526988,1.0520191923230708,1.0524590163934426,1.0528988404638144,1.0533386645341862,1.0537784886045582,1.05421831267493,1.0546581367453018,1.0550979608156736,1.0555377848860457,1.0559776089564175,1.0564174330267893,1.056857257097161,1.057297081167533,1.0577369052379049,1.0581767293082767,1.0586165533786485,1.0590563774490205,1.0594962015193923,1.059936025589764,1.0603758496601359,1.060815673730508,1.0612554978008797,1.0616953218712515,1.0621351459416233,1.0625749700119953,1.063014794082367,1.063454618152739,1.0638944422231107,1.0643342662934827,1.0647740903638545,1.0652139144342263,1.065653738504598,1.0660935625749701,1.066533386645342,1.0669732107157137,1.0674130347860855,1.0678528588564573,1.0682926829268293,1.0687325069972011,1.069172331067573,1.0696121551379447,1.0700519792083167,1.0704918032786885,1.0709316273490603,1.0713714514194321,1.0718112754898041,1.072251099560176,1.0726909236305477,1.0731307477009195,1.0735705717712916,1.0740103958416634,1.0744502199120352,1.074890043982407,1.075329868052779,1.0757696921231508,1.0762095161935226,1.0766493402638944,1.0770891643342664,1.0775289884046382,1.07796881247501,1.0784086365453818,1.0788484606157538,1.0792882846861256,1.0797281087564974,1.0801679328268692,1.0806077568972412,1.081047580967613,1.0814874050379848,1.0819272291083566,1.0823670531787286,1.0828068772491004,1.0832467013194722,1.083686525389844,1.084126349460216,1.0845661735305878,1.0850059976009596,1.0854458216713314,1.0858856457417032,1.0863254698120752,1.086765293882447,1.0872051179528188,1.0876449420231906,1.0880847660935626,1.0885245901639344,1.0889644142343062,1.089404238304678,1.08984406237505,1.0902838864454218,1.0907237105157936,1.0911635345861654,1.0916033586565375,1.0920431827269093,1.092483006797281,1.0929228308676529,1.0933626549380249,1.0938024790083967,1.0942423030787685,1.0946821271491403,1.0951219512195123,1.095561775289884,1.0960015993602559,1.0964414234306277,1.0968812475009997,1.0973210715713715,1.0977608956417433,1.098200719712115,1.098640543782487,1.099080367852859,1.0995201919232307,1.0999600159936025,1.1003998400639745,1.1008396641343463,1.101279488204718,1.10171931227509,1.102159136345462,1.1025989604158337,1.1030387844862055,1.1034786085565773,1.1039184326269493,1.1043582566973211,1.104798080767693,1.1052379048380647,1.1056777289084365,1.1061175529788085,1.1065573770491803,1.1069972011195521,1.107437025189924,1.107876849260296,1.1083166733306677,1.1087564974010395,1.1091963214714113,1.1096361455417834,1.1100759696121552,1.110515793682527,1.1109556177528987,1.1113954418232708,1.1118352658936426,1.1122750899640144,1.1127149140343862,1.1131547381047582,1.11359456217513,1.1140343862455018,1.1144742103158736,1.1149140343862456,1.1153538584566174,1.1157936825269892,1.116233506597361,1.116673330667733,1.1171131547381048,1.1175529788084766,1.1179928028788484,1.1184326269492204,1.1188724510195922,1.119312275089964,1.1197520991603358,1.1201919232307078,1.1206317473010796,1.1210715713714514,1.1215113954418232,1.1219512195121952,1.122391043582567,1.1228308676529388,1.1232706917233106,1.1237105157936824,1.1241503398640544,1.1245901639344262,1.125029988004798,1.1254698120751698,1.1259096361455418,1.1263494602159136,1.1267892842862854,1.1272291083566572,1.1276689324270293,1.128108756497401,1.1285485805677729,1.1289884046381446,1.1294282287085167,1.1298680527788885,1.1303078768492603,1.130747700919632,1.131187524990004,1.1316273490603759,1.1320671731307477,1.1325069972011195,1.1329468212714915,1.1333866453418633,1.133826469412235,1.1342662934826069,1.134706117552979,1.1351459416233507,1.1355857656937225,1.1360255897640943,1.1364654138344663,1.136905237904838,1.13734506197521,1.1377848860455817,1.1382247101159537,1.1386645341863255,1.1391043582566973,1.139544182327069,1.1399840063974411,1.140423830467813,1.1408636545381847,1.1413034786085565,1.1417433026789283,1.1421831267493003,1.1426229508196721,1.143062774890044,1.1435025989604157,1.1439424230307877,1.1443822471011595,1.1448220711715313,1.1452618952419031,1.1457017193122752,1.146141543382647,1.1465813674530188,1.1470211915233905,1.1474610155937626,1.1479008396641344,1.1483406637345062,1.148780487804878,1.14922031187525,1.1496601359456218,1.1500999600159936,1.1505397840863654,1.1509796081567374,1.1514194322271092,1.151859256297481,1.1522990803678528,1.1527389044382248,1.1531787285085966,1.1536185525789684,1.1540583766493402,1.1544982007197122,1.154938024790084,1.1553778488604558,1.1558176729308276,1.1562574970011996,1.1566973210715714,1.1571371451419432,1.157576969212315,1.158016793282687,1.1584566173530588,1.1588964414234306,1.1593362654938024,1.1597760895641744,1.1602159136345462,1.160655737704918,1.1610955617752898,1.1615353858456616,1.1619752099160336,1.1624150339864054,1.1628548580567772,1.163294682127149,1.163734506197521,1.1641743302678929,1.1646141543382647,1.1650539784086364,1.1654938024790085,1.1659336265493803,1.166373450619752,1.1668132746901239,1.1672530987604959,1.1676929228308677,1.1681327469012395,1.1685725709716113,1.1690123950419833,1.169452219112355,1.1698920431827269,1.1703318672530987,1.1707716913234707,1.1712115153938425,1.1716513394642143,1.172091163534586,1.172530987604958,1.17297081167533,1.1734106357457017,1.1738504598160735,1.1742902838864455,1.1747301079568173,1.1751699320271891,1.175609756097561,1.176049580167933,1.1764894042383047,1.1769292283086765,1.1773690523790483,1.1778088764494203,1.1782487005197921,1.178688524590164,1.1791283486605357,1.1795681727309075,1.1800079968012795,1.1804478208716513,1.1808876449420231,1.181327469012395,1.181767293082767,1.1822071171531388,1.1826469412235106,1.1830867652938823,1.1835265893642544,1.1839664134346262,1.184406237504998,1.1848460615753698,1.1852858856457418,1.1857257097161136,1.1861655337864854,1.1866053578568572,1.1870451819272292,1.187485005997601,1.1879248300679728,1.1883646541383446,1.1888044782087166,1.1892443022790884,1.1896841263494602,1.190123950419832,1.190563774490204,1.1910035985605758,1.1914434226309476,1.1918832467013194,1.1923230707716914,1.1927628948420632,1.193202718912435,1.1936425429828068,1.1940823670531788,1.1945221911235506,1.1949620151939224,1.1954018392642942,1.1958416633346662,1.196281487405038,1.1967213114754098,1.1971611355457816,1.1976009596161536,1.1980407836865254,1.1984806077568972,1.198920431827269,1.1993602558976408,1.1998000799680129,1.2002399040383847,1.2006797281087564,1.2011195521791282,1.2015593762495003,1.201999200319872,1.2024390243902439,1.2028788484606157,1.2033186725309877,1.2037584966013595,1.2041983206717313,1.204638144742103,1.205077968812475,1.2055177928828469,1.2059576169532187,1.2063974410235905,1.2068372650939625,1.2072770891643343,1.207716913234706,1.2081567373050779,1.20859656137545,1.2090363854458217,1.2094762095161935,1.2099160335865653,1.2103558576569373,1.2107956817273091,1.211235505797681,1.2116753298680527,1.2121151539384247,1.2125549780087965,1.2129948020791683,1.2134346261495401,1.2138744502199121,1.214314274290284,1.2147540983606557,1.2151939224310275,1.2156337465013995,1.2160735705717713,1.2165133946421431,1.216953218712515,1.2173930427828867,1.2178328668532588,1.2182726909236306,1.2187125149940023,1.2191523390643741,1.2195921631347462,1.220031987205118,1.2204718112754898,1.2209116353458616,1.2213514594162336,1.2217912834866054,1.2222311075569772,1.222670931627349,1.223110755697721,1.2235505797680928,1.2239904038384646,1.2244302279088364,1.2248700519792084,1.2253098760495802,1.225749700119952,1.2261895241903238,1.2266293482606958,1.2270691723310676,1.2275089964014394,1.2279488204718112,1.2283886445421832,1.228828468612555,1.2292682926829268,1.2297081167532986,1.2301479408236706,1.2305877648940424,1.2310275889644142,1.231467413034786,1.231907237105158,1.2323470611755298,1.2327868852459016,1.2332267093162734,1.2336665333866454,1.2341063574570172,1.234546181527389,1.2349860055977608,1.2354258296681329,1.2358656537385047,1.2363054778088765,1.2367453018792482,1.23718512594962,1.237624950019992,1.2380647740903639,1.2385045981607357,1.2389444222311075,1.2393842463014795,1.2398240703718513,1.240263894442223,1.2407037185125949,1.2411435425829669,1.2415833666533387,1.2420231907237105,1.2424630147940823,1.2429028388644543,1.243342662934826,1.243782487005198,1.2442223110755697,1.2446621351459417,1.2451019592163135,1.2455417832866853,1.245981607357057,1.2464214314274291,1.246861255497801,1.2473010795681727,1.2477409036385445,1.2481807277089165,1.2486205517792883,1.2490603758496601,1.249500199920032,1.249940023990404,1.2503798480607757,1.2508196721311475,1.2512594962015193,1.2516993202718913,1.2521391443422631,1.252578968412635,1.2530187924830067,1.2534586165533788,1.2538984406237506,1.2543382646941224,1.2547780887644941,1.255217912834866,1.255657736905238,1.2560975609756098,1.2565373850459816,1.2569772091163534,1.2574170331867254,1.2578568572570972,1.258296681327469,1.2587365053978408,1.2591763294682128,1.2596161535385846,1.2600559776089564,1.2604958016793282,1.2609356257497002,1.261375449820072,1.2618152738904438,1.2622550979608156,1.2626949220311876,1.2631347461015594,1.2635745701719312,1.264014394242303,1.264454218312675,1.2648940423830468,1.2653338664534186,1.2657736905237904,1.2662135145941624,1.2666533386645342,1.267093162734906,1.2675329868052778,1.2679728108756498,1.2684126349460216,1.2688524590163934,1.2692922830867652,1.2697321071571372,1.270171931227509,1.2706117552978808,1.2710515793682526,1.2714914034386247,1.2719312275089965,1.2723710515793683,1.27281087564974,1.2732506997201118,1.2736905237904839,1.2741303478608557,1.2745701719312275,1.2750099960015993,1.2754498200719713,1.275889644142343,1.2763294682127149,1.2767692922830867,1.2772091163534587,1.2776489404238305,1.2780887644942023,1.278528588564574,1.278968412634946,1.279408236705318,1.2798480607756897,1.2802878848460615,1.2807277089164335,1.2811675329868053,1.281607357057177,1.282047181127549,1.282487005197921,1.2829268292682927,1.2833666533386645,1.2838064774090363,1.2842463014794083,1.2846861255497801,1.285125949620152,1.2855657736905237,1.2860055977608957,1.2864454218312675,1.2868852459016393,1.2873250699720111,1.2877648940423831,1.288204718112755,1.2886445421831267,1.2890843662534985,1.2895241903238706,1.2899640143942424,1.2904038384646142,1.290843662534986,1.291283486605358,1.2917233106757298,1.2921631347461016,1.2926029588164734,1.2930427828868452,1.2934826069572172,1.293922431027589,1.2943622550979608,1.2948020791683326,1.2952419032387046,1.2956817273090764,1.2961215513794482,1.29656137544982,1.297001199520192,1.2974410235905638,1.2978808476609356,1.2983206717313074,1.2987604958016794,1.2992003198720512,1.299640143942423,1.3000799680127948,1.3005197920831668,1.3009596161535386,1.3013994402239104,1.3018392642942822,1.3022790883646542,1.302718912435026,1.3031587365053978,1.3035985605757696,1.3040383846461416,1.3044782087165134,1.3049180327868852,1.305357856857257,1.305797680927629,1.3062375049980008,1.3066773290683726,1.3071171531387444,1.3075569772091165,1.3079968012794883,1.30843662534986,1.3088764494202318,1.3093162734906039,1.3097560975609757,1.3101959216313475,1.3106357457017193,1.311075569772091,1.311515393842463,1.3119552179128349,1.3123950419832067,1.3128348660535785,1.3132746901239505,1.3137145141943223,1.314154338264694,1.3145941623350659,1.315033986405438,1.3154738104758097,1.3159136345461815,1.3163534586165533,1.3167932826869253,1.317233106757297,1.317672930827669,1.3181127548980407,1.3185525789684127,1.3189924030387845,1.3194322271091563,1.319872051179528,1.3203118752499001,1.320751699320272,1.3211915233906437,1.3216313474610155,1.3220711715313875,1.3225109956017593,1.3229508196721311,1.323390643742503,1.323830467812875,1.3242702918832467,1.3247101159536185,1.3251499400239903,1.3255897640943624,1.3260295881647342,1.326469412235106,1.3269092363054777,1.3273490603758498,1.3277888844462216,1.3282287085165934,1.3286685325869652,1.3291083566573372,1.329548180727709,1.3299880047980808,1.3304278288684526,1.3308676529388244,1.3313074770091964,1.3317473010795682,1.33218712514994,1.3326269492203118,1.3330667732906838,1.3335065973610556,1.3339464214314274,1.3343862455017992,1.3348260695721712,1.335265893642543,1.3357057177129148,1.3361455417832866,1.3365853658536586,1.3370251899240304,1.3374650139944022,1.337904838064774,1.338344662135146,1.3387844862055178,1.3392243102758896,1.3396641343462614,1.3401039584166334,1.3405437824870052,1.340983606557377,1.3414234306277488,1.3418632546981208,1.3423030787684926,1.3427429028388644,1.3431827269092362,1.3436225509796083,1.34406237504998,1.3445021991203518,1.3449420231907236,1.3453818472610957,1.3458216713314675,1.3462614954018393,1.346701319472211,1.347141143542583,1.3475809676129549,1.3480207916833267,1.3484606157536985,1.3489004398240703,1.3493402638944423,1.349780087964814,1.3502199120351859,1.3506597361055577,1.3510995601759297,1.3515393842463015,1.3519792083166733,1.352419032387045,1.352858856457417,1.353298680527789,1.3537385045981607,1.3541783286685325,1.3546181527389045,1.3550579768092763,1.355497800879648,1.35593762495002,1.356377449020392,1.3568172730907637,1.3572570971611355,1.3576969212315073,1.3581367453018793,1.3585765693722511,1.359016393442623,1.3594562175129947,1.3598960415833667,1.3603358656537385,1.3607756897241103,1.3612155137944821,1.3616553378648542,1.362095161935226,1.3625349860055977,1.3629748100759695,1.3634146341463416,1.3638544582167134,1.3642942822870852,1.364734106357457,1.365173930427829,1.3656137544982008,1.3660535785685726,1.3664934026389444,1.3669332267093162,1.3673730507796882,1.36781287485006,1.3682526989204318,1.3686925229908036,1.3691323470611756,1.3695721711315474,1.3700119952019192,1.370451819272291,1.370891643342663,1.3713314674130348,1.3717712914834066,1.3722111155537784,1.3726509396241504,1.3730907636945222,1.373530587764894,1.3739704118352658,1.3744102359056378,1.3748500599760096,1.3752898840463814,1.3757297081167532,1.3761695321871252,1.376609356257497,1.3770491803278688,1.3774890043982406,1.3779288284686126,1.3783686525389844,1.3788084766093562,1.379248300679728,1.3796881247501,1.3801279488204719,1.3805677728908436,1.3810075969612154,1.3814474210315875,1.3818872451019593,1.382327069172331,1.3827668932427029,1.3832067173130749,1.3836465413834467,1.3840863654538185,1.3845261895241903,1.3849660135945623,1.385405837664934,1.3858456617353059,1.3862854858056777,1.3867253098760495,1.3871651339464215,1.3876049580167933,1.388044782087165,1.3884846061575369,1.388924430227909,1.3893642542982807,1.3898040783686525,1.3902439024390243,1.3906837265093963,1.391123550579768,1.39156337465014,1.3920031987205117,1.3924430227908837,1.3928828468612555,1.3933226709316273,1.3937624950019991,1.3942023190723711,1.394642143142743,1.3950819672131147,1.3955217912834865,1.3959616153538585,1.3964014394242303,1.3968412634946021,1.397281087564974,1.397720911635346,1.3981607357057177,1.3986005597760895,1.3990403838464613,1.3994802079168334,1.3999200319872052,1.400359856057577,1.4007996801279488,1.4012395041983208,1.4016793282686926,1.4021191523390644,1.4025589764094362,1.4029988004798082,1.40343862455018,1.4038784486205518,1.4043182726909236,1.4047580967612954,1.4051979208316674,1.4056377449020392,1.406077568972411,1.4065173930427828,1.4069572171131548,1.4073970411835266,1.4078368652538984,1.4082766893242702,1.4087165133946422,1.409156337465014,1.4095961615353858,1.4100359856057576,1.4104758096761296,1.4109156337465014,1.4113554578168732,1.411795281887245,1.412235105957617,1.4126749300279888,1.4131147540983606,1.4135545781687324,1.4139944022391044,1.4144342263094762,1.414874050379848,1.4153138744502198,1.4157536985205919,1.4161935225909636,1.4166333466613354,1.4170731707317072,1.4175129948020793,1.417952818872451,1.4183926429428229,1.4188324670131947,1.4192722910835667,1.4197121151539385,1.4201519392243103,1.420591763294682,1.421031587365054,1.4214714114354259,1.4219112355057977,1.4223510595761695,1.4227908836465415,1.4232307077169133,1.423670531787285,1.4241103558576569,1.4245501799280287,1.4249900039984007,1.4254298280687725,1.4258696521391443,1.426309476209516,1.426749300279888,1.42718912435026,1.4276289484206317,1.4280687724910035,1.4285085965613755,1.4289484206317473,1.4293882447021191,1.429828068772491,1.430267892842863,1.4307077169132347,1.4311475409836065,1.4315873650539783,1.4320271891243503,1.4324670131947221,1.432906837265094,1.4333466613354657,1.4337864854058378,1.4342263094762095,1.4346661335465813,1.4351059576169531,1.4355457816873252,1.435985605757697,1.4364254298280688,1.4368652538984406,1.4373050779688126,1.4377449020391844,1.4381847261095562,1.438624550179928,1.4390643742503,1.4395041983206718,1.4399440223910436,1.4403838464614154,1.4408236705317874,1.4412634946021592,1.441703318672531,1.4421431427429028,1.4425829668132746,1.4430227908836466,1.4434626149540184,1.4439024390243902,1.444342263094762,1.444782087165134,1.4452219112355058,1.4456617353058776,1.4461015593762494,1.4465413834466214,1.4469812075169932,1.447421031587365,1.4478608556577368,1.4483006797281088,1.4487405037984806,1.4491803278688524,1.4496201519392242,1.4500599760095962,1.450499800079968,1.4509396241503398,1.4513794482207116,1.4518192722910837,1.4522590963614554,1.4526989204318272,1.453138744502199,1.453578568572571,1.4540183926429429,1.4544582167133147,1.4548980407836865,1.4553378648540585,1.4557776889244303,1.456217512994802,1.4566573370651739,1.4570971611355459,1.4575369852059177,1.4579768092762895,1.4584166333466613,1.4588564574170333,1.459296281487405,1.4597361055577769,1.4601759296281487,1.4606157536985207,1.4610555777688925,1.4614954018392643,1.461935225909636,1.462375049980008,1.46281487405038,1.4632546981207517,1.4636945221911235,1.4641343462614953,1.4645741703318673,1.4650139944022391,1.465453818472611,1.4658936425429827,1.4663334666133547,1.4667732906837265,1.4672131147540983,1.4676529388244701,1.4680927628948421,1.468532586965214,1.4689724110355857,1.4694122351059575,1.4698520591763296,1.4702918832467013,1.4707317073170731,1.471171531387445,1.471611355457817,1.4720511795281888,1.4724910035985606,1.4729308276689324,1.4733706517393044,1.4738104758096762,1.474250299880048,1.4746901239504198,1.4751299480207918,1.4755697720911636,1.4760095961615354,1.4764494202319072,1.4768892443022792,1.477329068372651,1.4777688924430228,1.4782087165133946,1.4786485405837666,1.4790883646541384,1.4795281887245102,1.479968012794882,1.4804078368652538,1.4808476609356258,1.4812874850059976,1.4817273090763694,1.4821671331467412,1.4826069572171132,1.483046781287485,1.4834866053578568,1.4839264294282286,1.4843662534986006,1.4848060775689724,1.4852459016393442,1.485685725709716,1.486125549780088,1.4865653738504598,1.4870051979208316,1.4874450219912034,1.4878848460615755,1.4883246701319472,1.488764494202319,1.4892043182726908,1.4896441423430629,1.4900839664134347,1.4905237904838065,1.4909636145541783,1.4914034386245503,1.491843262694922,1.4922830867652939,1.4927229108356657,1.4931627349060377,1.4936025589764095,1.4940423830467813,1.494482207117153,1.494922031187525,1.4953618552578969,1.4958016793282687,1.4962415033986405,1.4966813274690125,1.4971211515393843,1.497560975609756,1.498000799680128,1.4984406237504997,1.4988804478208717,1.4993202718912435,1.4997600959616153,1.500199920031987,1.5006397441023591,1.501079568172731,1.5015193922431027,1.5019592163134745,1.5023990403838465,1.5028388644542183,1.5032786885245901,1.503718512594962,1.504158336665334,1.5045981607357057,1.5050379848060775,1.5054778088764493,1.5059176329468213,1.5063574570171931,1.506797281087565,1.5072371051579367,1.5076769292283088,1.5081167532986806,1.5085565773690524,1.5089964014394242,1.5094362255097962,1.509876049580168,1.5103158736505398,1.5107556977209116,1.5111955217912836,1.5116353458616554,1.5120751699320272,1.512514994002399,1.512954818072771,1.5133946421431428,1.5138344662135146,1.5142742902838864,1.5147141143542584,1.5151539384246302,1.515593762495002,1.5160335865653738,1.5164734106357458,1.5169132347061176,1.5173530587764894,1.5177928828468612,1.518232706917233,1.518672530987605,1.5191123550579768,1.5195521791283486,1.5199920031987204,1.5204318272690924,1.5208716513394642,1.521311475409836,1.5217512994802078,1.5221911235505798,1.5226309476209516,1.5230707716913234,1.5235105957616952,1.5239504198320672,1.524390243902439,1.5248300679728108,1.5252698920431826,1.5257097161135547,1.5261495401839265,1.5265893642542983,1.52702918832467,1.527469012395042,1.5279088364654139,1.5283486605357857,1.5287884846061575,1.5292283086765295,1.5296681327469013,1.530107956817273,1.5305477808876449,1.530987604958017,1.5314274290283887,1.5318672530987605,1.5323070771691323,1.5327469012395043,1.533186725309876,1.533626549380248,1.5340663734506197,1.5345061975209917,1.5349460215913635,1.5353858456617353,1.535825669732107,1.536265493802479,1.536705317872851,1.5371451419432227,1.5375849660135945,1.5380247900839663,1.5384646141543383,1.5389044382247101,1.539344262295082,1.5397840863654537,1.5402239104358257,1.5406637345061975,1.5411035585765693,1.5415433826469411,1.5419832067173131,1.542423030787685,1.5428628548580567,1.5433026789284285,1.5437425029988006,1.5441823270691724,1.5446221511395442,1.545061975209916,1.545501799280288,1.5459416233506598,1.5463814474210316,1.5468212714914034,1.5472610955617754,1.5477009196321472,1.548140743702519,1.5485805677728908,1.5490203918432628,1.5494602159136346,1.5499000399840064,1.5503398640543782,1.5507796881247502,1.551219512195122,1.5516593362654938,1.5520991603358656,1.5525389844062376,1.5529788084766094,1.5534186325469812,1.553858456617353,1.554298280687725,1.5547381047580968,1.5551779288284686,1.5556177528988404,1.5560575769692122,1.5564974010395842,1.556937225109956,1.5573770491803278,1.5578168732506996,1.5582566973210716,1.5586965213914434,1.5591363454618152,1.559576169532187,1.560015993602559,1.5604558176729308,1.5608956417433026,1.5613354658136744,1.5617752898840465,1.5622151139544183,1.56265493802479,1.5630947620951618,1.5635345861655339,1.5639744102359057,1.5644142343062775,1.5648540583766493,1.5652938824470213,1.565733706517393,1.5661735305877649,1.5666133546581367,1.5670531787285087,1.5674930027988805,1.5679328268692523,1.568372650939624,1.568812475009996,1.569252299080368,1.5696921231507397,1.5701319472211115,1.5705717712914835,1.5710115953618553,1.571451419432227,1.571891243502599,1.572331067572971,1.5727708916433427,1.5732107157137145,1.5736505397840863,1.574090363854458,1.5745301879248301,1.574970011995202,1.5754098360655737,1.5758496601359455,1.5762894842063175,1.5767293082766893,1.5771691323470611,1.577608956417433,1.578048780487805,1.5784886045581767,1.5789284286285485,1.5793682526989203,1.5798080767692924,1.5802479008396642,1.580687724910036,1.5811275489804077,1.5815673730507798,1.5820071971211516,1.5824470211915234,1.5828868452618952,1.5833266693322672,1.583766493402639,1.5842063174730108,1.5846461415433826,1.5850859656137546,1.5855257896841264,1.5859656137544982,1.58640543782487,1.586845261895242,1.5872850859656138,1.5877249100359856,1.5881647341063574,1.5886045581767294,1.5890443822471012,1.589484206317473,1.5899240303878448,1.5903638544582168,1.5908036785285886,1.5912435025989604,1.5916833266693322,1.5921231507397042,1.592562974810076,1.5930027988804478,1.5934426229508196,1.5938824470211914,1.5943222710915634,1.5947620951619352,1.595201919232307,1.5956417433026788,1.5960815673730508,1.5965213914434226,1.5969612155137944,1.5974010395841662,1.5978408636545383,1.59828068772491,1.5987205117952819,1.5991603358656536,1.5996001599360257,1.6000399840063975,1.6004798080767693,1.600919632147141,1.601359456217513,1.6017992802878849,1.6022391043582567,1.6026789284286285,1.6031187524990005,1.6035585765693723,1.603998400639744,1.6044382247101159,1.604878048780488,1.6053178728508597,1.6057576969212315,1.6061975209916033,1.6066373450619753,1.607077169132347,1.607516993202719,1.6079568172730907,1.6083966413434627,1.6088364654138345,1.6092762894842063,1.609716113554578,1.6101559376249501,1.610595761695322,1.6110355857656937,1.6114754098360655,1.6119152339064373,1.6123550579768093,1.6127948820471811,1.613234706117553,1.6136745301879247,1.6141143542582967,1.6145541783286685,1.6149940023990403,1.6154338264694121,1.6158736505397842,1.616313474610156,1.6167532986805278,1.6171931227508995,1.6176329468212716,1.6180727708916434,1.6185125949620152,1.618952419032387,1.619392243102759,1.6198320671731308,1.6202718912435026,1.6207117153138744,1.6211515393842464,1.6215913634546182,1.62203118752499,1.6224710115953618,1.6229108356657338,1.6233506597361056,1.6237904838064774,1.6242303078768492,1.6246701319472212,1.625109956017593,1.6255497800879648,1.6259896041583366,1.6264294282287086,1.6268692522990804,1.6273090763694522,1.627748900439824,1.628188724510196,1.6286285485805678,1.6290683726509396,1.6295081967213114,1.6299480207916832,1.6303878448620552,1.630827668932427,1.6312674930027988,1.6317073170731706,1.6321471411435426,1.6325869652139144,1.6330267892842862,1.633466613354658,1.63390643742503,1.6343462614954019,1.6347860855657737,1.6352259096361454,1.6356657337065175,1.6361055577768893,1.636545381847261,1.6369852059176329,1.6374250299880049,1.6378648540583767,1.6383046781287485,1.6387445021991203,1.6391843262694923,1.639624150339864,1.6400639744102359,1.6405037984806077,1.6409436225509797,1.6413834466213515,1.6418232706917233,1.642263094762095,1.642702918832467,1.643142742902839,1.6435825669732107,1.6440223910435825,1.6444622151139545,1.6449020391843263,1.6453418632546981,1.64578168732507,1.646221511395442,1.6466613354658137,1.6471011595361855,1.6475409836065573,1.6479808076769293,1.6484206317473011,1.648860455817673,1.6493002798880447,1.6497401039584165,1.6501799280287885,1.6506197520991603,1.6510595761695321,1.651499400239904,1.651939224310276,1.6523790483806478,1.6528188724510195,1.6532586965213913,1.6536985205917634,1.6541383446621352,1.654578168732507,1.6550179928028788,1.6554578168732508,1.6558976409436226,1.6563374650139944,1.6567772890843662,1.6572171131547382,1.65765693722511,1.6580967612954818,1.6585365853658536,1.6589764094362256,1.6594162335065974,1.6598560575769692,1.660295881647341,1.660735705717713,1.6611755297880848,1.6616153538584566,1.6620551779288284,1.6624950019992004,1.6629348260695722,1.663374650139944,1.6638144742103158,1.6642542982806878,1.6646941223510596,1.6651339464214314,1.6655737704918032,1.6660135945621752,1.666453418632547,1.6668932427029188,1.6673330667732906,1.6677728908436624,1.6682127149140344,1.6686525389844062,1.669092363054778,1.6695321871251498,1.6699720111955219,1.6704118352658937,1.6708516593362654,1.6712914834066372,1.6717313074770093,1.672171131547381,1.6726109556177529,1.6730507796881247,1.6734906037584967,1.6739304278288685,1.6743702518992403,1.674810075969612,1.675249900039984,1.6756897241103559,1.6761295481807277,1.6765693722510995,1.6770091963214715,1.6774490203918433,1.677888844462215,1.6783286685325869,1.678768492602959,1.6792083166733307,1.6796481407437025,1.6800879648140743,1.6805277888844463,1.6809676129548181,1.68140743702519,1.6818472610955617,1.6822870851659337,1.6827269092363055,1.6831667333066773,1.6836065573770491,1.6840463814474211,1.684486205517793,1.6849260295881647,1.6853658536585365,1.6858056777289085,1.6862455017992803,1.6866853258696521,1.687125149940024,1.6875649740103957,1.6880047980807678,1.6884446221511396,1.6888844462215113,1.6893242702918831,1.6897640943622552,1.690203918432627,1.6906437425029988,1.6910835665733706,1.6915233906437426,1.6919632147141144,1.6924030387844862,1.692842862854858,1.69328268692523,1.6937225109956018,1.6941623350659736,1.6946021591363454,1.6950419832067174,1.6954818072770892,1.695921631347461,1.6963614554178328,1.6968012794882048,1.6972411035585766,1.6976809276289484,1.6981207516993202,1.6985605757696922,1.699000399840064,1.6994402239104358,1.6998800479808076,1.7003198720511796,1.7007596961215514,1.7011995201919232,1.701639344262295,1.702079168332667,1.7025189924030388,1.7029588164734106,1.7033986405437824,1.7038384646141544,1.7042782886845262,1.704718112754898,1.7051579368252698,1.7055977608956416,1.7060375849660137,1.7064774090363855,1.7069172331067572,1.707357057177129,1.707796881247501,1.7082367053178729,1.7086765293882447,1.7091163534586165,1.7095561775289885,1.7099960015993603,1.710435825669732,1.7108756497401039,1.7113154738104759,1.7117552978808477,1.7121951219512195,1.7126349460215913,1.7130747700919633,1.713514594162335,1.7139544182327069,1.7143942423030787,1.7148340663734507,1.7152738904438225,1.7157137145141943,1.716153538584566,1.7165933626549381,1.71703318672531,1.7174730107956817,1.7179128348660535,1.7183526589364255,1.7187924830067973,1.7192323070771691,1.719672131147541,1.720111955217913,1.7205517792882847,1.7209916033586565,1.7214314274290283,1.7218712514994003,1.7223110755697721,1.722750899640144,1.7231907237105157,1.7236305477808875,1.7240703718512596,1.7245101959216314,1.7249500199920031,1.725389844062375,1.725829668132747,1.7262694922031188,1.7267093162734906,1.7271491403438624,1.7275889644142344,1.7280287884846062,1.728468612554978,1.7289084366253498,1.7293482606957218,1.7297880847660936,1.7302279088364654,1.7306677329068372,1.7311075569772092,1.731547381047581,1.7319872051179528,1.7324270291883246,1.7328668532586966,1.7333066773290684,1.7337465013994402,1.734186325469812,1.734626149540184,1.7350659736105558,1.7355057976809276,1.7359456217512994,1.7363854458216714,1.7368252698920432,1.737265093962415,1.7377049180327868,1.7381447421031588,1.7385845661735306,1.7390243902439024,1.7394642143142742,1.7399040383846462,1.740343862455018,1.7407836865253898,1.7412235105957616,1.7416633346661337,1.7421031587365055,1.7425429828068772,1.742982806877249,1.7434226309476208,1.7438624550179929,1.7443022790883647,1.7447421031587365,1.7451819272291083,1.7456217512994803,1.746061575369852,1.7465013994402239,1.7469412235105957,1.7473810475809677,1.7478208716513395,1.7482606957217113,1.748700519792083,1.749140343862455,1.749580167932827,1.7500199920031987,1.7504598160735705,1.7508996401439425,1.7513394642143143,1.751779288284686,1.752219112355058,1.75265893642543,1.7530987604958017,1.7535385845661735,1.7539784086365453,1.7544182327069173,1.7548580567772891,1.755297880847661,1.7557377049180327,1.7561775289884047,1.7566173530587765,1.7570571771291483,1.7574970011995201,1.7579368252698921,1.758376649340264,1.7588164734106357,1.7592562974810075,1.7596961215513796,1.7601359456217514,1.7605757696921231,1.761015593762495,1.7614554178328667,1.7618952419032388,1.7623350659736106,1.7627748900439824,1.7632147141143542,1.7636545381847262,1.764094362255098,1.7645341863254698,1.7649740103958416,1.7654138344662136,1.7658536585365854,1.7662934826069572,1.766733306677329,1.767173130747701,1.7676129548180728,1.7680527788884446,1.7684926029588164,1.7689324270291884,1.7693722510995602,1.769812075169932,1.7702518992403038,1.7706917233106758,1.7711315473810476,1.7715713714514194,1.7720111955217912,1.7724510195921632,1.772890843662535,1.7733306677329068,1.7737704918032786,1.7742103158736506,1.7746501399440224,1.7750899640143942,1.775529788084766,1.775969612155138,1.7764094362255098,1.7768492602958816,1.7772890843662534,1.7777289084366255,1.7781687325069973,1.778608556577369,1.7790483806477408,1.7794882047181129,1.7799280287884847,1.7803678528588565,1.7808076769292283,1.7812475009996,1.781687325069972,1.7821271491403439,1.7825669732107157,1.7830067972810875,1.7834466213514595,1.7838864454218313,1.784326269492203,1.7847660935625749,1.785205917632947,1.7856457417033187,1.7860855657736905,1.7865253898440623,1.7869652139144343,1.787405037984806,1.787844862055178,1.7882846861255497,1.7887245101959217,1.7891643342662935,1.7896041583366653,1.790043982407037,1.7904838064774091,1.790923630547781,1.7913634546181527,1.7918032786885245,1.7922431027588965,1.7926829268292683,1.7931227508996401,1.793562574970012,1.794002399040384,1.7944422231107557,1.7948820471811275,1.7953218712514993,1.7957616953218714,1.7962015193922432,1.796641343462615,1.7970811675329867,1.7975209916033588,1.7979608156737306,1.7984006397441024,1.7988404638144742,1.799280287884846,1.799720111955218,1.8001599360255898,1.8005997600959616,1.8010395841663334,1.8014794082367054,1.8019192323070772,1.802359056377449,1.8027988804478208,1.8032387045181928,1.8036785285885646,1.8041183526589364,1.8045581767293082,1.8049980007996802,1.805437824870052,1.8058776489404238,1.8063174730107956,1.8067572970811676,1.8071971211515394,1.8076369452219112,1.808076769292283,1.808516593362655,1.8089564174330268,1.8093962415033986,1.8098360655737704,1.8102758896441424,1.8107157137145142,1.811155537784886,1.8115953618552578,1.8120351859256298,1.8124750099960016,1.8129148340663734,1.8133546581367452,1.8137944822071173,1.814234306277489,1.8146741303478608,1.8151139544182326,1.8155537784886047,1.8159936025589765,1.8164334266293483,1.81687325069972,1.817313074770092,1.8177528988404639,1.8181927229108357,1.8186325469812075,1.8190723710515793,1.8195121951219513,1.819952019192323,1.8203918432626949,1.8208316673330667,1.8212714914034387,1.8217113154738105,1.8221511395441823,1.822590963614554,1.823030787684926,1.823470611755298,1.8239104358256697,1.8243502598960415,1.8247900839664135,1.8252299080367853,1.825669732107157,1.826109556177529,1.826549380247901,1.8269892043182727,1.8274290283886445,1.8278688524590163,1.8283086765293883,1.8287485005997601,1.829188324670132,1.8296281487405037,1.8300679728108757,1.8305077968812475,1.8309476209516193,1.8313874450219911,1.8318272690923632,1.832267093162735,1.8327069172331067,1.8331467413034785,1.8335865653738506,1.8340263894442224,1.8344662135145942,1.834906037584966,1.835345861655338,1.8357856857257098,1.8362255097960816,1.8366653338664534,1.8371051579368252,1.8375449820071972,1.837984806077569,1.8384246301479408,1.8388644542183126,1.8393042782886846,1.8397441023590564,1.8401839264294282,1.8406237504998,1.841063574570172,1.8415033986405438,1.8419432227109156,1.8423830467812874,1.8428228708516594,1.8432626949220312,1.843702518992403,1.8441423430627748,1.8445821671331468,1.8450219912035186,1.8454618152738904,1.8459016393442622,1.8463414634146342,1.846781287485006,1.8472211115553778,1.8476609356257496,1.8481007596961216,1.8485405837664934,1.8489804078368652,1.849420231907237,1.849860055977609,1.8502998800479808,1.8507397041183526,1.8511795281887244,1.8516193522590965,1.8520591763294683,1.85249900039984,1.8529388244702119,1.8533786485405839,1.8538184726109557,1.8542582966813275,1.8546981207516993,1.855137944822071,1.855577768892443,1.8560175929628149,1.8564574170331867,1.8568972411035585,1.8573370651739305,1.8577768892443023,1.858216713314674,1.8586565373850459,1.859096361455418,1.8595361855257897,1.8599760095961615,1.8604158336665333,1.8608556577369053,1.861295481807277,1.861735305877649,1.8621751299480207,1.8626149540183927,1.8630547780887645,1.8634946021591363,1.8639344262295081,1.8643742502998801,1.864814074370252,1.8652538984406237,1.8656937225109955,1.8661335465813675,1.8665733706517393,1.8670131947221111,1.867453018792483,1.867892842862855,1.8683326669332267,1.8687724910035985,1.8692123150739703,1.8696521391443424,1.8700919632147142,1.870531787285086,1.8709716113554578,1.8714114354258298,1.8718512594962016,1.8722910835665734,1.8727309076369452,1.8731707317073172,1.873610555777689,1.8740503798480608,1.8744902039184326,1.8749300279888044,1.8753698520591764,1.8758096761295482,1.87624950019992,1.8766893242702918,1.8771291483406638,1.8775689724110356,1.8780087964814074,1.8784486205517792,1.8788884446221512,1.879328268692523,1.8797680927628948,1.8802079168332666,1.8806477409036386,1.8810875649740104,1.8815273890443822,1.881967213114754,1.882407037185126,1.8828468612554978,1.8832866853258696,1.8837265093962414,1.8841663334666134,1.8846061575369852,1.885045981607357,1.8854858056777288,1.8859256297481009,1.8863654538184726,1.8868052778888444,1.8872451019592162,1.8876849260295883,1.88812475009996,1.8885645741703319,1.8890043982407037,1.8894442223110757,1.8898840463814475,1.8903238704518193,1.890763694522191,1.891203518592563,1.8916433426629349,1.8920831667333067,1.8925229908036785,1.8929628148740503,1.8934026389444223,1.893842463014794,1.8942822870851659,1.8947221111555377,1.8951619352259097,1.8956017592962815,1.8960415833666533,1.896481407437025,1.896921231507397,1.897361055577769,1.8978008796481407,1.8982407037185125,1.8986805277888845,1.8991203518592563,1.8995601759296281,1.9,1.900439824070372,1.9008796481407437,1.9013194722111155,1.9017592962814873,1.9021991203518593,1.9026389444222311,1.903078768492603,1.9035185925629747,1.9039584166333468,1.9043982407037185,1.9048380647740903,1.9052778888444621,1.9057177129148342,1.906157536985206,1.9065973610555778,1.9070371851259496,1.9074770091963216,1.9079168332666934,1.9083566573370652,1.908796481407437,1.909236305477809,1.9096761295481808,1.9101159536185526,1.9105557776889244,1.9109956017592964,1.9114354258296682,1.91187524990004,1.9123150739704118,1.9127548980407836,1.9131947221111556,1.9136345461815274,1.9140743702518992,1.914514194322271,1.914954018392643,1.9153938424630148,1.9158336665333866,1.9162734906037584,1.9167133146741304,1.9171531387445022,1.917592962814874,1.9180327868852458,1.9184726109556178,1.9189124350259896,1.9193522590963614,1.9197920831667332,1.9202319072371052,1.920671731307477,1.9211115553778488,1.9215513794482206,1.9219912035185927,1.9224310275889644,1.9228708516593362,1.923310675729708,1.92375049980008,1.9241903238704519,1.9246301479408237,1.9250699720111955,1.9255097960815675,1.9259496201519393,1.926389444222311,1.9268292682926829,1.9272690923630549,1.9277089164334267,1.9281487405037985,1.9285885645741703,1.9290283886445423,1.929468212714914,1.9299080367852859,1.9303478608556577,1.9307876849260295,1.9312275089964015,1.9316673330667733,1.932107157137145,1.932546981207517,1.932986805277889,1.9334266293482607,1.9338664534186325,1.9343062774890043,1.9347461015593763,1.9351859256297481,1.93562574970012,1.9360655737704917,1.9365053978408637,1.9369452219112355,1.9373850459816073,1.9378248700519791,1.9382646941223511,1.938704518192723,1.9391443422630947,1.9395841663334665,1.9400239904038385,1.9404638144742103,1.9409036385445821,1.941343462614954,1.941783286685326,1.9422231107556978,1.9426629348260696,1.9431027588964414,1.9435425829668134,1.9439824070371852,1.944422231107557,1.9448620551779288,1.9453018792483008,1.9457417033186726,1.9461815273890444,1.9466213514594162,1.9470611755297882,1.94750099960016,1.9479408236705318,1.9483806477409036,1.9488204718112754,1.9492602958816474,1.9497001199520192,1.950139944022391,1.9505797680927628,1.9510195921631348,1.9514594162335066,1.9518992403038784,1.9523390643742502,1.9527788884446222,1.953218712514994,1.9536585365853658,1.9540983606557376,1.9545381847261096,1.9549780087964814,1.9554178328668532,1.955857656937225,1.956297481007597,1.9567373050779688,1.9571771291483406,1.9576169532187124,1.9580567772890844,1.9584966013594562,1.958936425429828,1.9593762495001998,1.9598160735705719,1.9602558976409437,1.9606957217113155,1.9611355457816873,1.9615753698520593,1.962015193922431,1.9624550179928029,1.9628948420631747,1.9633346661335467,1.9637744902039185,1.9642143142742903,1.964654138344662,1.965093962415034,1.9655337864854059,1.9659736105557777,1.9664134346261495,1.9668532586965215,1.9672930827668933,1.967732906837265,1.968172730907637,1.9686125549780087,1.9690523790483807,1.9694922031187525,1.9699320271891243,1.970371851259496,1.9708116753298681,1.97125149940024,1.9716913234706117,1.9721311475409835,1.9725709716113555,1.9730107956817273,1.9734506197520991,1.973890443822471,1.974330267892843,1.9747700919632147,1.9752099160335865,1.9756497401039583,1.9760895641743303,1.9765293882447021,1.976969212315074,1.9774090363854457,1.9778488604558178,1.9782886845261896,1.9787285085965614,1.9791683326669331,1.9796081567373052,1.980047980807677,1.9804878048780488,1.9809276289484206,1.9813674530187926,1.9818072770891644,1.9822471011595362,1.982686925229908,1.98312674930028,1.9835665733706518,1.9840063974410236,1.9844462215113954,1.9848860455817674,1.9853258696521392,1.985765693722511,1.9862055177928828,1.9866453418632546,1.9870851659336266,1.9875249900039984,1.9879648140743702,1.988404638144742,1.988844462215114,1.9892842862854858,1.9897241103558576,1.9901639344262294,1.9906037584966014,1.9910435825669732,1.991483406637345,1.9919232307077168,1.9923630547780888,1.9928028788484606,1.9932427029188324,1.9936825269892042,1.9941223510595762,1.994562175129948,1.9950019992003198,1.9954418232706916,1.9958816473410637,1.9963214714114355,1.9967612954818073,1.997201119552179,1.997640943622551,1.9980807676929229,1.9985205917632947,1.9989604158336665,1.9994002399040385,1.9998400639744103,2.000279888044782,2.000719712115154,2.0011595361855257,2.0015993602558977,2.0020391843262697,2.0024790083966413,2.0029188324670133,2.003358656537385,2.003798480607757,2.004238304678129,2.0046781287485005,2.0051179528188725,2.005557776889244,2.005997600959616,2.006437425029988,2.0068772491003597,2.0073170731707317,2.0077568972411037,2.0081967213114753,2.0086365453818473,2.009076369452219,2.009516193522591,2.009956017592963,2.0103958416633345,2.0108356657337065,2.0112754898040786,2.01171531387445,2.012155137944822,2.0125949620151937,2.0130347860855657,2.0134746101559378,2.0139144342263093,2.0143542582966814,2.0147940823670534,2.015233906437425,2.015673730507797,2.0161135545781685,2.0165533786485406,2.0169932027189126,2.017433026789284,2.017872850859656,2.018312674930028,2.0187524990003998,2.019192323070772,2.0196321471411434,2.0200719712115154,2.0205117952818874,2.020951619352259,2.021391443422631,2.021831267493003,2.0222710915633746,2.0227109156337466,2.023150739704118,2.02359056377449,2.0240303878448622,2.024470211915234,2.024910035985606,2.0253498600559774,2.0257896841263494,2.0262295081967214,2.026669332267093,2.027109156337465,2.027548980407837,2.0279888044782086,2.0284286285485806,2.028868452618952,2.0293082766893242,2.0297481007596962,2.030187924830068,2.03062774890044,2.031067572970812,2.0315073970411834,2.0319472211115555,2.032387045181927,2.032826869252299,2.033266693322671,2.0337065173930426,2.0341463414634147,2.0345861655337867,2.0350259896041583,2.0354658136745303,2.035905637744902,2.036345461815274,2.036785285885646,2.0372251099560175,2.0376649340263895,2.0381047580967615,2.038544582167133,2.038984406237505,2.0394242303078767,2.0398640543782487,2.0403038784486207,2.0407437025189923,2.0411835265893643,2.0416233506597363,2.042063174730108,2.04250299880048,2.0429428228708515,2.0433826469412235,2.0438224710115955,2.044262295081967,2.044702119152339,2.0451419432227107,2.0455817672930827,2.0460215913634547,2.0464614154338263,2.0469012395041983,2.0473410635745704,2.047780887644942,2.048220711715314,2.0486605357856855,2.0491003598560575,2.0495401839264296,2.049980007996801,2.050419832067173,2.050859656137545,2.0512994802079167,2.0517393042782888,2.0521791283486603,2.0526189524190324,2.0530587764894044,2.053498600559776,2.053938424630148,2.05437824870052,2.0548180727708916,2.0552578968412636,2.055697720911635,2.056137544982007,2.056577369052379,2.0570171931227508,2.057457017193123,2.057896841263495,2.0583366653338664,2.0587764894042384,2.05921631347461,2.059656137544982,2.060095961615354,2.0605357856857256,2.0609756097560976,2.0614154338264696,2.061855257896841,2.0622950819672132,2.062734906037585,2.063174730107957,2.063614554178329,2.0640543782487004,2.0644942023190724,2.064934026389444,2.065373850459816,2.065813674530188,2.0662534986005596,2.0666933226709316,2.0671331467413037,2.0675729708116752,2.0680127948820473,2.068452618952419,2.068892443022791,2.069332267093163,2.0697720911635344,2.0702119152339065,2.0706517393042785,2.07109156337465,2.071531387445022,2.0719712115153937,2.0724110355857657,2.0728508596561377,2.0732906837265093,2.0737305077968813,2.0741703318672533,2.074610155937625,2.075049980007997,2.0754898040783685,2.0759296281487405,2.0763694522191125,2.076809276289484,2.077249100359856,2.077688924430228,2.0781287485005997,2.0785685725709717,2.0790083966413433,2.0794482207117153,2.0798880447820873,2.080327868852459,2.080767692922831,2.0812075169932025,2.0816473410635745,2.0820871651339465,2.082526989204318,2.08296681327469,2.083406637345062,2.0838464614154337,2.0842862854858057,2.0847261095561773,2.0851659336265493,2.0856057576969214,2.086045581767293,2.086485405837665,2.086925229908037,2.0873650539784085,2.0878048780487806,2.088244702119152,2.088684526189524,2.089124350259896,2.0895641743302678,2.0900039984006398,2.090443822471012,2.0908836465413834,2.0913234706117554,2.091763294682127,2.092203118752499,2.092642942822871,2.0930827668932426,2.0935225909636146,2.0939624150339866,2.094402239104358,2.09484206317473,2.095281887245102,2.095721711315474,2.096161535385846,2.0966013594562174,2.0970411835265894,2.0974810075969614,2.097920831667333,2.098360655737705,2.0988004798080766,2.0992403038784486,2.0996801279488206,2.100119952019192,2.1005597760895642,2.100999600159936,2.101439424230308,2.10187924830068,2.1023190723710514,2.1027588964414234,2.1031987205117955,2.103638544582167,2.104078368652539,2.1045181927229106,2.1049580167932826,2.1053978408636547,2.1058376649340262,2.1062774890043983,2.1067173130747703,2.107157137145142,2.107596961215514,2.1080367852858855,2.1084766093562575,2.1089164334266295,2.109356257497001,2.109796081567373,2.110235905637745,2.1106757297081167,2.1111155537784887,2.1115553778488603,2.1119952019192323,2.1124350259896043,2.112874850059976,2.113314674130348,2.11375449820072,2.1141943222710915,2.1146341463414635,2.115073970411835,2.115513794482207,2.115953618552579,2.1163934426229507,2.1168332666933227,2.1172730907636947,2.1177129148340663,2.1181527389044383,2.11859256297481,2.119032387045182,2.119472211115554,2.1199120351859255,2.1203518592562975,2.120791683326669,2.121231507397041,2.121671331467413,2.1221111555377847,2.1225509796081568,2.1229908036785288,2.1234306277489003,2.1238704518192724,2.124310275889644,2.124750099960016,2.125189924030388,2.1256297481007596,2.1260695721711316,2.1265093962415036,2.126949220311875,2.127389044382247,2.1278288684526188,2.128268692522991,2.128708516593363,2.1291483406637344,2.1295881647341064,2.1300279888044784,2.13046781287485,2.130907636945222,2.1313474610155936,2.1317872850859656,2.1322271091563376,2.132666933226709,2.133106757297081,2.1335465813674532,2.133986405437825,2.134426229508197,2.1348660535785684,2.1353058776489404,2.1357457017193124,2.136185525789684,2.136625349860056,2.1370651739304276,2.1375049980007996,2.1379448220711716,2.138384646141543,2.1388244702119152,2.1392642942822873,2.139704118352659,2.140143942423031,2.1405837664934024,2.1410235905637744,2.1414634146341465,2.141903238704518,2.14234306277489,2.142782886845262,2.1432227109156337,2.1436625349860057,2.1441023590563772,2.1445421831267493,2.1449820071971213,2.145421831267493,2.145861655337865,2.146301479408237,2.1467413034786085,2.1471811275489805,2.147620951619352,2.148060775689724,2.148500599760096,2.1489404238304677,2.1493802479008397,2.1498200719712117,2.1502598960415833,2.1506997201119553,2.151139544182327,2.151579368252699,2.152019192323071,2.1524590163934425,2.1528988404638145,2.1533386645341865,2.153778488604558,2.15421831267493,2.1546581367453017,2.1550979608156737,2.1555377848860457,2.1559776089564173,2.1564174330267893,2.156857257097161,2.157297081167533,2.157736905237905,2.1581767293082765,2.1586165533786486,2.1590563774490206,2.159496201519392,2.159936025589764,2.1603758496601357,2.1608156737305078,2.1612554978008798,2.1616953218712514,2.1621351459416234,2.1625749700119954,2.163014794082367,2.163454618152739,2.1638944422231106,2.1643342662934826,2.1647740903638546,2.165213914434226,2.165653738504598,2.16609356257497,2.166533386645342,2.166973210715714,2.1674130347860854,2.1678528588564574,2.1682926829268294,2.168732506997201,2.169172331067573,2.169612155137945,2.1700519792083166,2.1704918032786886,2.17093162734906,2.171371451419432,2.1718112754898042,2.172251099560176,2.172690923630548,2.17313074770092,2.1735705717712914,2.1740103958416634,2.174450219912035,2.174890043982407,2.175329868052779,2.1757696921231506,2.1762095161935227,2.1766493402638942,2.1770891643342662,2.1775289884046383,2.17796881247501,2.178408636545382,2.178848460615754,2.1792882846861255,2.1797281087564975,2.180167932826869,2.180607756897241,2.181047580967613,2.1814874050379847,2.1819272291083567,2.1823670531787287,2.1828068772491003,2.1832467013194723,2.183686525389844,2.184126349460216,2.184566173530588,2.1850059976009595,2.1854458216713315,2.1858856457417035,2.186325469812075,2.186765293882447,2.1872051179528187,2.1876449420231907,2.1880847660935627,2.1885245901639343,2.1889644142343063,2.1894042383046783,2.18984406237505,2.190283886445422,2.1907237105157935,2.1911635345861655,2.1916033586565375,2.192043182726909,2.192483006797281,2.1929228308676527,2.1933626549380247,2.1938024790083968,2.1942423030787683,2.1946821271491403,2.1951219512195124,2.195561775289884,2.196001599360256,2.1964414234306275,2.1968812475009996,2.1973210715713716,2.197760895641743,2.198200719712115,2.198640543782487,2.1990803678528588,2.199520191923231,2.1999600159936024,2.2003998400639744,2.2008396641343464,2.201279488204718,2.20171931227509,2.202159136345462,2.2025989604158336,2.2030387844862056,2.203478608556577,2.203918432626949,2.204358256697321,2.204798080767693,2.205237904838065,2.205677728908437,2.2061175529788084,2.2065573770491804,2.206997201119552,2.207437025189924,2.207876849260296,2.2083166733306676,2.2087564974010396,2.2091963214714117,2.2096361455417832,2.2100759696121552,2.210515793682527,2.210955617752899,2.211395441823271,2.2118352658936424,2.2122750899640145,2.212714914034386,2.213154738104758,2.21359456217513,2.2140343862455016,2.2144742103158737,2.2149140343862457,2.2153538584566173,2.2157936825269893,2.216233506597361,2.216673330667733,2.217113154738105,2.2175529788084765,2.2179928028788485,2.2184326269492205,2.218872451019592,2.219312275089964,2.2197520991603357,2.2201919232307077,2.2206317473010797,2.2210715713714513,2.2215113954418233,2.2219512195121953,2.222391043582567,2.222830867652939,2.2232706917233105,2.2237105157936825,2.2241503398640545,2.224590163934426,2.225029988004798,2.22546981207517,2.2259096361455417,2.2263494602159137,2.2267892842862853,2.2272291083566573,2.2276689324270293,2.228108756497401,2.228548580567773,2.228988404638145,2.2294282287085165,2.2298680527788886,2.23030787684926,2.230747700919632,2.231187524990004,2.2316273490603757,2.2320671731307478,2.2325069972011193,2.2329468212714914,2.2333866453418634,2.233826469412235,2.234266293482607,2.234706117552979,2.2351459416233506,2.2355857656937226,2.236025589764094,2.236465413834466,2.236905237904838,2.2373450619752098,2.237784886045582,2.238224710115954,2.2386645341863254,2.2391043582566974,2.239544182327069,2.239984006397441,2.240423830467813,2.2408636545381846,2.2413034786085566,2.2417433026789286,2.2421831267493,2.2426229508196722,2.243062774890044,2.243502598960416,2.243942423030788,2.2443822471011594,2.2448220711715314,2.2452618952419034,2.245701719312275,2.246141543382647,2.2465813674530186,2.2470211915233906,2.2474610155937627,2.2479008396641342,2.2483406637345063,2.2487804878048783,2.24922031187525,2.249660135945622,2.2500999600159934,2.2505397840863655,2.2509796081567375,2.251419432227109,2.251859256297481,2.2522990803678526,2.2527389044382247,2.2531787285085967,2.2536185525789683,2.2540583766493403,2.2544982007197123,2.254938024790084,2.255377848860456,2.2558176729308275,2.2562574970011995,2.2566973210715715,2.257137145141943,2.257576969212315,2.258016793282687,2.2584566173530587,2.2588964414234307,2.2593362654938023,2.2597760895641743,2.2602159136345463,2.260655737704918,2.26109556177529,2.261535385845662,2.2619752099160335,2.2624150339864055,2.262854858056777,2.263294682127149,2.263734506197521,2.2641743302678927,2.2646141543382647,2.2650539784086368,2.2654938024790083,2.2659336265493804,2.266373450619752,2.266813274690124,2.267253098760496,2.2676929228308675,2.2681327469012396,2.268572570971611,2.269012395041983,2.269452219112355,2.2698920431827267,2.2703318672530988,2.270771691323471,2.2712115153938424,2.2716513394642144,2.272091163534586,2.272530987604958,2.27297081167533,2.2734106357457016,2.2738504598160736,2.2742902838864456,2.274730107956817,2.275169932027189,2.2756097560975608,2.276049580167933,2.276489404238305,2.2769292283086764,2.2773690523790484,2.2778088764494204,2.278248700519792,2.278688524590164,2.2791283486605356,2.2795681727309076,2.2800079968012796,2.280447820871651,2.2808876449420232,2.2813274690123952,2.281767293082767,2.282207117153139,2.2826469412235104,2.2830867652938824,2.2835265893642545,2.283966413434626,2.284406237504998,2.28484606157537,2.2852858856457416,2.2857257097161137,2.2861655337864852,2.2866053578568573,2.2870451819272293,2.287485005997601,2.287924830067973,2.2883646541383444,2.2888044782087165,2.2892443022790885,2.28968412634946,2.290123950419832,2.290563774490204,2.2910035985605757,2.2914434226309477,2.2918832467013193,2.2923230707716913,2.2927628948420633,2.293202718912435,2.293642542982807,2.294082367053179,2.2945221911235505,2.2949620151939225,2.295401839264294,2.295841663334666,2.296281487405038,2.2967213114754097,2.2971611355457817,2.2976009596161537,2.2980407836865253,2.2984806077568973,2.298920431827269,2.299360255897641,2.299800079968013,2.3002399040383845,2.3006797281087565,2.3011195521791286,2.3015593762495,2.301999200319872,2.3024390243902437,2.3028788484606157,2.3033186725309878,2.3037584966013593,2.3041983206717314,2.3046381447421034,2.305077968812475,2.305517792882847,2.3059576169532185,2.3063974410235906,2.3068372650939626,2.307277089164334,2.307716913234706,2.3081567373050778,2.3085965613754498,2.309036385445822,2.3094762095161934,2.3099160335865654,2.3103558576569374,2.310795681727309,2.311235505797681,2.3116753298680526,2.3121151539384246,2.3125549780087966,2.312994802079168,2.31343462614954,2.3138744502199122,2.314314274290284,2.314754098360656,2.3151939224310274,2.3156337465013994,2.3160735705717714,2.316513394642143,2.316953218712515,2.317393042782887,2.3178328668532586,2.3182726909236306,2.318712514994002,2.3191523390643742,2.3195921631347463,2.320031987205118,2.32047181127549,2.320911635345862,2.3213514594162334,2.3217912834866055,2.322231107556977,2.322670931627349,2.323110755697721,2.3235505797680926,2.3239904038384647,2.3244302279088362,2.3248700519792083,2.3253098760495803,2.325749700119952,2.326189524190324,2.326629348260696,2.3270691723310675,2.3275089964014395,2.327948820471811,2.328388644542183,2.328828468612555,2.3292682926829267,2.3297081167532987,2.3301479408236707,2.3305877648940423,2.3310275889644143,2.331467413034786,2.331907237105158,2.33234706117553,2.3327868852459015,2.3332267093162735,2.3336665333866455,2.334106357457017,2.334546181527389,2.3349860055977607,2.3354258296681327,2.3358656537385047,2.3363054778088763,2.3367453018792483,2.3371851259496204,2.337624950019992,2.338064774090364,2.3385045981607355,2.3389444222311075,2.3393842463014796,2.339824070371851,2.340263894442223,2.340703718512595,2.3411435425829668,2.3415833666533388,2.3420231907237103,2.3424630147940824,2.3429028388644544,2.343342662934826,2.343782487005198,2.3442223110755696,2.3446621351459416,2.3451019592163136,2.345541783286685,2.345981607357057,2.346421431427429,2.346861255497801,2.347301079568173,2.3477409036385444,2.3481807277089164,2.3486205517792884,2.34906037584966,2.349500199920032,2.349940023990404,2.3503798480607756,2.3508196721311476,2.351259496201519,2.351699320271891,2.3521391443422632,2.352578968412635,2.353018792483007,2.353458616553379,2.3538984406237504,2.3543382646941224,2.354778088764494,2.355217912834866,2.355657736905238,2.3560975609756096,2.3565373850459816,2.3569772091163537,2.3574170331867252,2.3578568572570973,2.358296681327469,2.358736505397841,2.359176329468213,2.3596161535385844,2.3600559776089565,2.3604958016793285,2.3609356257497,2.361375449820072,2.3618152738904437,2.3622550979608157,2.3626949220311877,2.3631347461015593,2.3635745701719313,2.364014394242303,2.364454218312675,2.364894042383047,2.3653338664534185,2.3657736905237905,2.3662135145941625,2.366653338664534,2.367093162734906,2.3675329868052777,2.3679728108756497,2.3684126349460217,2.3688524590163933,2.3692922830867653,2.3697321071571373,2.370171931227509,2.370611755297881,2.3710515793682525,2.3714914034386245,2.3719312275089965,2.372371051579368,2.37281087564974,2.373250699720112,2.3736905237904837,2.3741303478608557,2.3745701719312273,2.3750099960015993,2.3754498200719714,2.375889644142343,2.376329468212715,2.376769292283087,2.3772091163534586,2.3776489404238306,2.378088764494202,2.378528588564574,2.378968412634946,2.3794082367053178,2.3798480607756898,2.380287884846062,2.3807277089164334,2.3811675329868054,2.381607357057177,2.382047181127549,2.382487005197921,2.3829268292682926,2.3833666533386646,2.383806477409036,2.384246301479408,2.38468612554978,2.385125949620152,2.385565773690524,2.386005597760896,2.3864454218312674,2.3868852459016394,2.387325069972011,2.387764894042383,2.388204718112755,2.3886445421831266,2.3890843662534986,2.3895241903238706,2.389964014394242,2.3904038384646142,2.390843662534986,2.391283486605358,2.39172331067573,2.3921631347461014,2.3926029588164734,2.3930427828868455,2.393482606957217,2.393922431027589,2.3943622550979606,2.3948020791683327,2.3952419032387047,2.3956817273090762,2.3961215513794483,2.3965613754498203,2.397001199520192,2.397441023590564,2.3978808476609355,2.3983206717313075,2.3987604958016795,2.399200319872051,2.399640143942423,2.4000799680127947,2.4005197920831667,2.4009596161535387,2.4013994402239103,2.4018392642942823,2.4022790883646543,2.402718912435026,2.403158736505398,2.4035985605757695,2.4040383846461415,2.4044782087165135,2.404918032786885,2.405357856857257,2.405797680927629,2.4062375049980007,2.4066773290683727,2.4071171531387443,2.4075569772091163,2.4079968012794883,2.40843662534986,2.408876449420232,2.409316273490604,2.4097560975609755,2.4101959216313475,2.410635745701719,2.411075569772091,2.411515393842463,2.4119552179128347,2.4123950419832068,2.4128348660535788,2.4132746901239504,2.4137145141943224,2.414154338264694,2.414594162335066,2.415033986405438,2.4154738104758096,2.4159136345461816,2.4163534586165536,2.416793282686925,2.417233106757297,2.4176729308276688,2.418112754898041,2.418552578968413,2.4189924030387844,2.4194322271091564,2.419872051179528,2.4203118752499,2.420751699320272,2.4211915233906436,2.4216313474610156,2.4220711715313876,2.422510995601759,2.422950819672131,2.423390643742503,2.423830467812875,2.424270291883247,2.4247101159536184,2.4251499400239904,2.4255897640943624,2.426029588164734,2.426469412235106,2.4269092363054776,2.4273490603758496,2.4277888844462217,2.4282287085165932,2.4286685325869652,2.4291083566573373,2.429548180727709,2.429988004798081,2.4304278288684524,2.4308676529388245,2.4313074770091965,2.431747301079568,2.43218712514994,2.432626949220312,2.4330667732906837,2.4335065973610557,2.4339464214314273,2.4343862455017993,2.4348260695721713,2.435265893642543,2.435705717712915,2.436145541783287,2.4365853658536585,2.4370251899240305,2.437465013994402,2.437904838064774,2.438344662135146,2.4387844862055177,2.4392243102758897,2.4396641343462613,2.4401039584166333,2.4405437824870053,2.440983606557377,2.441423430627749,2.441863254698121,2.4423030787684925,2.4427429028388645,2.443182726909236,2.443622550979608,2.44406237504998,2.4445021991203517,2.4449420231907237,2.4453818472610958,2.4458216713314673,2.4462614954018393,2.446701319472211,2.447141143542583,2.447580967612955,2.4480207916833265,2.4484606157536986,2.4489004398240706,2.449340263894442,2.449780087964814,2.4502199120351857,2.4506597361055578,2.45109956017593,2.4515393842463014,2.4519792083166734,2.4524190323870454,2.452858856457417,2.453298680527789,2.4537385045981606,2.4541783286685326,2.4546181527389046,2.455057976809276,2.455497800879648,2.4559376249500198,2.456377449020392,2.456817273090764,2.4572570971611354,2.4576969212315074,2.4581367453018794,2.458576569372251,2.459016393442623,2.4594562175129946,2.4598960415833666,2.4603358656537386,2.46077568972411,2.4612155137944822,2.4616553378648542,2.462095161935226,2.462534986005598,2.4629748100759694,2.4634146341463414,2.4638544582167135,2.464294282287085,2.464734106357457,2.465173930427829,2.4656137544982006,2.4660535785685727,2.4664934026389442,2.4669332267093163,2.4673730507796883,2.46781287485006,2.468252698920432,2.468692522990804,2.4691323470611755,2.4695721711315475,2.470011995201919,2.470451819272291,2.470891643342663,2.4713314674130347,2.4717712914834067,2.4722111155537787,2.4726509396241503,2.4730907636945223,2.473530587764894,2.473970411835266,2.474410235905638,2.4748500599760095,2.4752898840463815,2.475729708116753,2.476169532187125,2.476609356257497,2.4770491803278687,2.4774890043982407,2.4779288284686127,2.4783686525389843,2.4788084766093563,2.479248300679728,2.4796881247501,2.480127948820472,2.4805677728908435,2.4810075969612155,2.4814474210315876,2.481887245101959,2.482327069172331,2.4827668932427027,2.4832067173130747,2.4836465413834468,2.4840863654538183,2.4845261895241904,2.4849660135945624,2.485405837664934,2.485845661735306,2.4862854858056775,2.4867253098760496,2.4871651339464216,2.487604958016793,2.488044782087165,2.488484606157537,2.4889244302279088,2.489364254298281,2.4898040783686524,2.4902439024390244,2.4906837265093964,2.491123550579768,2.49156337465014,2.492003198720512,2.4924430227908836,2.4928828468612556,2.493322670931627,2.493762495001999,2.494202319072371,2.494642143142743,2.495081967213115,2.4955217912834864,2.4959616153538584,2.4964014394242304,2.496841263494602,2.497281087564974,2.497720911635346,2.4981607357057176,2.4986005597760896,2.499040383846461,2.4994802079168332,2.4999200319872052,2.500359856057577,2.500799680127949,2.501239504198321,2.5016793282686924,2.5021191523390645,2.502558976409436,2.502998800479808,2.50343862455018,2.5038784486205516,2.5043182726909237,2.5047580967612957,2.5051979208316673,2.5056377449020393,2.506077568972411,2.506517393042783,2.506957217113155,2.5073970411835265,2.5078368652538985,2.5082766893242705,2.508716513394642,2.509156337465014,2.5095961615353857,2.5100359856057577,2.5104758096761297,2.5109156337465013,2.5113554578168733,2.5117952818872453,2.512235105957617,2.512674930027989,2.5131147540983605,2.5135545781687325,2.5139944022391045,2.514434226309476,2.514874050379848,2.5153138744502197,2.5157536985205917,2.5161935225909637,2.5166333466613353,2.5170731707317073,2.5175129948020794,2.517952818872451,2.518392642942823,2.5188324670131945,2.5192722910835665,2.5197121151539386,2.52015193922431,2.520591763294682,2.521031587365054,2.5214714114354257,2.5219112355057978,2.5223510595761693,2.5227908836465414,2.5232307077169134,2.523670531787285,2.524110355857657,2.524550179928029,2.5249900039984006,2.5254298280687726,2.525869652139144,2.526309476209516,2.526749300279888,2.5271891243502598,2.527628948420632,2.528068772491004,2.5285085965613754,2.5289484206317474,2.529388244702119,2.529828068772491,2.530267892842863,2.5307077169132346,2.5311475409836066,2.531587365053978,2.53202718912435,2.5324670131947222,2.532906837265094,2.533346661335466,2.533786485405838,2.5342263094762094,2.5346661335465814,2.535105957616953,2.535545781687325,2.535985605757697,2.5364254298280686,2.5368652538984406,2.5373050779688127,2.5377449020391842,2.5381847261095563,2.538624550179928,2.5390643742503,2.539504198320672,2.5399440223910434,2.5403838464614155,2.5408236705317875,2.541263494602159,2.541703318672531,2.5421431427429027,2.5425829668132747,2.5430227908836467,2.5434626149540183,2.5439024390243903,2.5443422630947623,2.544782087165134,2.545221911235506,2.5456617353058775,2.5461015593762495,2.5465413834466215,2.546981207516993,2.547421031587365,2.547860855657737,2.5483006797281087,2.5487405037984807,2.5491803278688523,2.5496201519392243,2.5500599760095963,2.550499800079968,2.55093962415034,2.5513794482207115,2.5518192722910835,2.5522590963614555,2.552698920431827,2.553138744502199,2.553578568572571,2.5540183926429427,2.5544582167133147,2.5548980407836863,2.5553378648540583,2.5557776889244304,2.556217512994802,2.556657337065174,2.557097161135546,2.5575369852059175,2.5579768092762896,2.558416633346661,2.558856457417033,2.559296281487405,2.5597361055577768,2.5601759296281488,2.560615753698521,2.5610555777688924,2.5614954018392644,2.561935225909636,2.562375049980008,2.56281487405038,2.5632546981207516,2.5636945221911236,2.5641343462614956,2.564574170331867,2.565013994402239,2.565453818472611,2.565893642542983,2.566333466613355,2.5667732906837264,2.5672131147540984,2.5676529388244704,2.568092762894842,2.568532586965214,2.5689724110355856,2.5694122351059576,2.5698520591763296,2.570291883246701,2.5707317073170732,2.571171531387445,2.571611355457817,2.572051179528189,2.5724910035985604,2.5729308276689324,2.5733706517393045,2.573810475809676,2.574250299880048,2.5746901239504196,2.5751299480207916,2.5755697720911637,2.5760095961615352,2.5764494202319073,2.5768892443022793,2.577329068372651,2.577768892443023,2.5782087165133944,2.5786485405837665,2.5790883646541385,2.57952818872451,2.579968012794882,2.580407836865254,2.5808476609356257,2.5812874850059977,2.5817273090763693,2.5821671331467413,2.5826069572171133,2.583046781287485,2.583486605357857,2.583926429428229,2.5843662534986005,2.5848060775689725,2.585245901639344,2.585685725709716,2.586125549780088,2.5865653738504597,2.5870051979208317,2.5874450219912033,2.5878848460615753,2.5883246701319473,2.588764494202319,2.589204318272691,2.589644142343063,2.5900839664134345,2.5905237904838065,2.590963614554178,2.59140343862455,2.591843262694922,2.5922830867652937,2.5927229108356658,2.5931627349060378,2.5936025589764093,2.5940423830467814,2.594482207117153,2.594922031187525,2.595361855257897,2.5958016793282686,2.5962415033986406,2.5966813274690126,2.597121151539384,2.597560975609756,2.5980007996801278,2.5984406237505,2.598880447820872,2.5993202718912434,2.5997600959616154,2.6001999200319874,2.600639744102359,2.601079568172731,2.6015193922431026,2.6019592163134746,2.6023990403838466,2.602838864454218,2.60327868852459,2.6037185125949622,2.604158336665334,2.604598160735706,2.6050379848060774,2.6054778088764494,2.6059176329468214,2.606357457017193,2.606797281087565,2.6072371051579366,2.6076769292283086,2.6081167532986806,2.608556577369052,2.6089964014394242,2.6094362255097963,2.609876049580168,2.61031587365054,2.6107556977209114,2.6111955217912834,2.6116353458616555,2.612075169932027,2.612514994002399,2.612954818072771,2.6133946421431427,2.6138344662135147,2.6142742902838862,2.6147141143542583,2.6151539384246303,2.615593762495002,2.616033586565374,2.616473410635746,2.6169132347061175,2.6173530587764895,2.617792882846861,2.618232706917233,2.618672530987605,2.6191123550579767,2.6195521791283487,2.6199920031987207,2.6204318272690923,2.6208716513394643,2.621311475409836,2.621751299480208,2.62219112355058,2.6226309476209515,2.6230707716913235,2.6235105957616955,2.623950419832067,2.624390243902439,2.6248300679728107,2.6252698920431827,2.6257097161135547,2.6261495401839263,2.6265893642542983,2.62702918832467,2.627469012395042,2.627908836465414,2.6283486605357855,2.6287884846061575,2.6292283086765296,2.629668132746901,2.630107956817273,2.6305477808876447,2.6309876049580168,2.6314274290283888,2.6318672530987604,2.6323070771691324,2.6327469012395044,2.633186725309876,2.633626549380248,2.6340663734506196,2.6345061975209916,2.6349460215913636,2.635385845661735,2.635825669732107,2.636265493802479,2.636705317872851,2.637145141943223,2.6375849660135944,2.6380247900839664,2.6384646141543384,2.63890443822471,2.639344262295082,2.639784086365454,2.6402239104358256,2.6406637345061976,2.641103558576569,2.641543382646941,2.6419832067173132,2.642423030787685,2.642862854858057,2.643302678928429,2.6437425029988004,2.6441823270691724,2.644622151139544,2.645061975209916,2.645501799280288,2.6459416233506596,2.6463814474210317,2.6468212714914032,2.6472610955617752,2.6477009196321473,2.648140743702519,2.648580567772891,2.649020391843263,2.6494602159136345,2.6499000399840065,2.650339864054378,2.65077968812475,2.651219512195122,2.6516593362654937,2.6520991603358657,2.6525389844062377,2.6529788084766093,2.6534186325469813,2.653858456617353,2.654298280687725,2.654738104758097,2.6551779288284685,2.6556177528988405,2.6560575769692125,2.656497401039584,2.656937225109956,2.6573770491803277,2.6578168732506997,2.6582566973210717,2.6586965213914433,2.6591363454618153,2.6595761695321873,2.660015993602559,2.660455817672931,2.6608956417433025,2.6613354658136745,2.6617752898840465,2.662215113954418,2.66265493802479,2.6630947620951617,2.6635345861655337,2.6639744102359058,2.6644142343062773,2.6648540583766493,2.6652938824470214,2.665733706517393,2.666173530587765,2.6666133546581365,2.6670531787285086,2.6674930027988806,2.667932826869252,2.668372650939624,2.668812475009996,2.6692522990803678,2.66969212315074,2.6701319472211114,2.6705717712914834,2.6710115953618554,2.671451419432227,2.671891243502599,2.672331067572971,2.6727708916433426,2.6732107157137146,2.673650539784086,2.674090363854458,2.67453018792483,2.674970011995202,2.675409836065574,2.675849660135946,2.6762894842063174,2.6767293082766894,2.677169132347061,2.677608956417433,2.678048780487805,2.6784886045581766,2.6789284286285486,2.6793682526989206,2.6798080767692922,2.6802479008396642,2.680687724910036,2.681127548980408,2.68156737305078,2.6820071971211514,2.6824470211915235,2.682886845261895,2.683326669332267,2.683766493402639,2.6842063174730106,2.6846461415433827,2.6850859656137547,2.6855257896841263,2.6859656137544983,2.68640543782487,2.686845261895242,2.687285085965614,2.6877249100359855,2.6881647341063575,2.6886045581767295,2.689044382247101,2.689484206317473,2.6899240303878447,2.6903638544582167,2.6908036785285887,2.6912435025989603,2.6916833266693323,2.6921231507397043,2.692562974810076,2.693002798880448,2.6934426229508195,2.6938824470211915,2.6943222710915635,2.694762095161935,2.695201919232307,2.695641743302679,2.6960815673730507,2.6965213914434227,2.6969612155137943,2.6974010395841663,2.6978408636545383,2.69828068772491,2.698720511795282,2.699160335865654,2.6996001599360255,2.7000399840063976,2.700479808076769,2.700919632147141,2.701359456217513,2.7017992802878847,2.7022391043582568,2.7026789284286283,2.7031187524990004,2.7035585765693724,2.703998400639744,2.704438224710116,2.704878048780488,2.7053178728508596,2.7057576969212316,2.706197520991603,2.706637345061975,2.707077169132347,2.7075169932027188,2.707956817273091,2.708396641343463,2.7088364654138344,2.7092762894842064,2.709716113554578,2.71015593762495,2.710595761695322,2.7110355857656936,2.7114754098360656,2.7119152339064376,2.712355057976809,2.712794882047181,2.713234706117553,2.713674530187925,2.714114354258297,2.7145541783286684,2.7149940023990404,2.7154338264694124,2.715873650539784,2.716313474610156,2.7167532986805276,2.7171931227508996,2.7176329468212717,2.7180727708916432,2.7185125949620152,2.718952419032387,2.719392243102759,2.719832067173131,2.7202718912435024,2.7207117153138745,2.7211515393842465,2.721591363454618,2.72203118752499,2.7224710115953616,2.7229108356657337,2.7233506597361057,2.7237904838064773,2.7242303078768493,2.7246701319472213,2.725109956017593,2.725549780087965,2.7259896041583365,2.7264294282287085,2.7268692522990805,2.727309076369452,2.727748900439824,2.728188724510196,2.7286285485805677,2.7290683726509397,2.7295081967213113,2.7299480207916833,2.7303878448620553,2.730827668932427,2.731267493002799,2.731707317073171,2.7321471411435425,2.7325869652139145,2.733026789284286,2.733466613354658,2.73390643742503,2.7343462614954017,2.7347860855657737,2.7352259096361458,2.7356657337065173,2.7361055577768894,2.736545381847261,2.736985205917633,2.737425029988005,2.7378648540583765,2.7383046781287486,2.73874450219912,2.739184326269492,2.739624150339864,2.7400639744102357,2.7405037984806078,2.74094362255098,2.7413834466213514,2.7418232706917234,2.742263094762095,2.742702918832467,2.743142742902839,2.7435825669732106,2.7440223910435826,2.7444622151139546,2.744902039184326,2.745341863254698,2.7457816873250698,2.746221511395442,2.746661335465814,2.7471011595361854,2.7475409836065574,2.7479808076769294,2.748420631747301,2.748860455817673,2.7493002798880446,2.7497401039584166,2.7501799280287886,2.75061975209916,2.7510595761695322,2.7514994002399042,2.751939224310276,2.752379048380648,2.7528188724510194,2.7532586965213914,2.7536985205917635,2.754138344662135,2.754578168732507,2.755017992802879,2.7554578168732506,2.7558976409436227,2.7563374650139942,2.7567772890843663,2.7572171131547383,2.75765693722511,2.758096761295482,2.7585365853658534,2.7589764094362255,2.7594162335065975,2.759856057576969,2.760295881647341,2.760735705717713,2.7611755297880847,2.7616153538584567,2.7620551779288283,2.7624950019992003,2.7629348260695723,2.763374650139944,2.763814474210316,2.764254298280688,2.7646941223510595,2.7651339464214315,2.765573770491803,2.766013594562175,2.766453418632547,2.7668932427029187,2.7673330667732907,2.7677728908436627,2.7682127149140343,2.7686525389844063,2.769092363054778,2.76953218712515,2.769972011195522,2.7704118352658935,2.7708516593362655,2.7712914834066376,2.771731307477009,2.772171131547381,2.7726109556177527,2.7730507796881247,2.7734906037584968,2.7739304278288683,2.7743702518992404,2.774810075969612,2.775249900039984,2.775689724110356,2.7761295481807275,2.7765693722510996,2.7770091963214716,2.777449020391843,2.777888844462215,2.7783286685325868,2.7787684926029588,2.779208316673331,2.7796481407437024,2.7800879648140744,2.7805277888844464,2.780967612954818,2.78140743702519,2.7818472610955616,2.7822870851659336,2.7827269092363056,2.783166733306677,2.783606557377049,2.7840463814474212,2.784486205517793,2.784926029588165,2.7853658536585364,2.7858056777289084,2.7862455017992804,2.786685325869652,2.787125149940024,2.787564974010396,2.7880047980807676,2.7884446221511396,2.788884446221511,2.7893242702918832,2.7897640943622553,2.790203918432627,2.790643742502999,2.791083566573371,2.7915233906437424,2.7919632147141145,2.792403038784486,2.792842862854858,2.79328268692523,2.7937225109956016,2.7941623350659737,2.7946021591363452,2.7950419832067173,2.7954818072770893,2.795921631347461,2.796361455417833,2.796801279488205,2.7972411035585765,2.7976809276289485,2.79812075169932,2.798560575769692,2.799000399840064,2.7994402239104357,2.7998800479808077,2.8003198720511797,2.8007596961215513,2.8011995201919233,2.801639344262295,2.802079168332667,2.802518992403039,2.8029588164734105,2.8033986405437825,2.8038384646141545,2.804278288684526,2.804718112754898,2.8051579368252697,2.8055977608956417,2.8060375849660137,2.8064774090363853,2.8069172331067573,2.8073570571771294,2.807796881247501,2.808236705317873,2.8086765293882445,2.8091163534586165,2.8095561775289886,2.80999600159936,2.810435825669732,2.810875649740104,2.8113154738104758,2.8117552978808478,2.8121951219512193,2.8126349460215914,2.8130747700919634,2.813514594162335,2.813954418232707,2.8143942423030786,2.8148340663734506,2.8152738904438226,2.815713714514194,2.816153538584566,2.816593362654938,2.81703318672531,2.817473010795682,2.8179128348660534,2.8183526589364254,2.8187924830067974,2.819232307077169,2.819672131147541,2.820111955217913,2.8205517792882846,2.8209916033586566,2.821431427429028,2.8218712514994,2.8223110755697722,2.822750899640144,2.823190723710516,2.823630547780888,2.8240703718512594,2.8245101959216314,2.824950019992003,2.825389844062375,2.825829668132747,2.8262694922031186,2.8267093162734906,2.8271491403438627,2.8275889644142342,2.8280287884846063,2.828468612554978,2.82890843662535,2.829348260695722,2.8297880847660934,2.8302279088364655,2.8306677329068375,2.831107556977209,2.831547381047581,2.8319872051179527,2.8324270291883247,2.8328668532586967,2.8333066773290683,2.8337465013994403,2.834186325469812,2.834626149540184,2.835065973610556,2.8355057976809275,2.8359456217512995,2.8363854458216715,2.836825269892043,2.837265093962415,2.8377049180327867,2.8381447421031587,2.8385845661735307,2.8390243902439023,2.8394642143142743,2.8399040383846463,2.840343862455018,2.84078368652539,2.8412235105957615,2.8416633346661335,2.8421031587365055,2.842542982806877,2.842982806877249,2.843422630947621,2.8438624550179927,2.8443022790883647,2.8447421031587363,2.8451819272291083,2.8456217512994804,2.846061575369852,2.846501399440224,2.846941223510596,2.8473810475809676,2.8478208716513396,2.848260695721711,2.848700519792083,2.849140343862455,2.8495801679328268,2.8500199920031988,2.8504598160735704,2.8508996401439424,2.8513394642143144,2.851779288284686,2.852219112355058,2.85265893642543,2.8530987604958016,2.8535385845661736,2.853978408636545,2.854418232706917,2.854858056777289,2.855297880847661,2.855737704918033,2.856177528988405,2.8566173530587764,2.8570571771291484,2.85749700119952,2.857936825269892,2.858376649340264,2.8588164734106356,2.8592562974810076,2.8596961215513796,2.860135945621751,2.8605757696921232,2.861015593762495,2.861455417832867,2.861895241903239,2.8623350659736104,2.8627748900439824,2.8632147141143545,2.863654538184726,2.864094362255098,2.8645341863254696,2.8649740103958417,2.8654138344662137,2.8658536585365852,2.8662934826069573,2.8667333066773293,2.867173130747701,2.867612954818073,2.8680527788884445,2.8684926029588165,2.8689324270291885,2.86937225109956,2.869812075169932,2.8702518992403037,2.8706917233106757,2.8711315473810477,2.8715713714514193,2.8720111955217913,2.8724510195921633,2.872890843662535,2.873330667732907,2.8737704918032785,2.8742103158736505,2.8746501399440225,2.875089964014394,2.875529788084766,2.875969612155138,2.8764094362255097,2.8768492602958817,2.8772890843662533,2.8777289084366253,2.8781687325069973,2.878608556577369,2.879048380647741,2.879488204718113,2.8799280287884845,2.8803678528588565,2.880807676929228,2.8812475009996,2.881687325069972,2.8821271491403437,2.8825669732107158,2.8830067972810878,2.8834466213514593,2.8838864454218314,2.884326269492203,2.884766093562575,2.885205917632947,2.8856457417033186,2.8860855657736906,2.8865253898440626,2.886965213914434,2.887405037984806,2.8878448620551778,2.88828468612555,2.888724510195922,2.8891643342662934,2.8896041583366654,2.890043982407037,2.890483806477409,2.890923630547781,2.8913634546181526,2.8918032786885246,2.8922431027588966,2.892682926829268,2.89312275089964,2.893562574970012,2.894002399040384,2.894442223110756,2.8948820471811274,2.8953218712514994,2.8957616953218714,2.896201519392243,2.896641343462615,2.8970811675329866,2.8975209916033586,2.8979608156737307,2.8984006397441022,2.8988404638144742,2.8992802878848463,2.899720111955218,2.90015993602559,2.9005997600959614,2.9010395841663335,2.9014794082367055,2.901919232307077,2.902359056377449,2.902798880447821,2.9032387045181927,2.9036785285885647,2.9041183526589363,2.9045581767293083,2.9049980007996803,2.905437824870052,2.905877648940424,2.9063174730107955,2.9067572970811675,2.9071971211515395,2.907636945221911,2.908076769292283,2.908516593362655,2.9089564174330267,2.9093962415033987,2.9098360655737703,2.9102758896441423,2.9107157137145143,2.911155537784886,2.911595361855258,2.91203518592563,2.9124750099960015,2.9129148340663735,2.913354658136745,2.913794482207117,2.914234306277489,2.9146741303478607,2.9151139544182327,2.9155537784886048,2.9159936025589763,2.9164334266293483,2.91687325069972,2.917313074770092,2.917752898840464,2.9181927229108355,2.9186325469812076,2.9190723710515796,2.919512195121951,2.919952019192323,2.9203918432626947,2.9208316673330668,2.921271491403439,2.9217113154738104,2.9221511395441824,2.9225909636145544,2.923030787684926,2.923470611755298,2.9239104358256696,2.9243502598960416,2.9247900839664136,2.925229908036785,2.925669732107157,2.9261095561775288,2.926549380247901,2.926989204318273,2.9274290283886444,2.9278688524590164,2.9283086765293884,2.92874850059976,2.929188324670132,2.9296281487405036,2.9300679728108756,2.9305077968812476,2.930947620951619,2.9313874450219912,2.9318272690923632,2.932267093162735,2.932706917233107,2.9331467413034784,2.9335865653738504,2.9340263894442224,2.934466213514594,2.934906037584966,2.935345861655338,2.9357856857257096,2.9362255097960817,2.9366653338664532,2.9371051579368253,2.9375449820071973,2.937984806077569,2.938424630147941,2.938864454218313,2.9393042782886845,2.9397441023590565,2.940183926429428,2.9406237504998,2.941063574570172,2.9415033986405437,2.9419432227109157,2.9423830467812877,2.9428228708516593,2.9432626949220313,2.943702518992403,2.944142343062775,2.944582167133147,2.9450219912035185,2.9454618152738905,2.945901639344262,2.946341463414634,2.946781287485006,2.9472211115553777,2.9476609356257497,2.9481007596961217,2.9485405837664933,2.9489804078368653,2.949420231907237,2.949860055977609,2.950299880047981,2.9507397041183525,2.9511795281887245,2.9516193522590966,2.952059176329468,2.95249900039984,2.9529388244702117,2.9533786485405837,2.9538184726109558,2.9542582966813273,2.9546981207516994,2.9551379448220714,2.955577768892443,2.956017592962815,2.9564574170331865,2.9568972411035586,2.9573370651739306,2.957776889244302,2.958216713314674,2.958656537385046,2.9590963614554178,2.95953618552579,2.9599760095961614,2.9604158336665334,2.9608556577369054,2.961295481807277,2.961735305877649,2.962175129948021,2.9626149540183926,2.9630547780887646,2.963494602159136,2.963934426229508,2.96437425029988,2.964814074370252,2.965253898440624,2.9656937225109954,2.9661335465813674,2.9665733706517394,2.967013194722111,2.967453018792483,2.967892842862855,2.9683326669332266,2.9687724910035986,2.96921231507397,2.9696521391443422,2.9700919632147142,2.970531787285086,2.970971611355458,2.97141143542583,2.9718512594962014,2.9722910835665735,2.972730907636945,2.973170731707317,2.973610555777689,2.9740503798480606,2.9744902039184327,2.9749300279888047,2.9753698520591763,2.9758096761295483,2.97624950019992,2.976689324270292,2.977129148340664,2.9775689724110355,2.9780087964814075,2.9784486205517795,2.978888444622151,2.979328268692523,2.9797680927628947,2.9802079168332667,2.9806477409036387,2.9810875649740103,2.9815273890443823,2.981967213114754,2.982407037185126,2.982846861255498,2.9832866853258695,2.9837265093962415,2.9841663334666135,2.984606157536985,2.985045981607357,2.9854858056777287,2.9859256297481007,2.9863654538184727,2.9868052778888443,2.9872451019592163,2.9876849260295884,2.98812475009996,2.988564574170332,2.9890043982407035,2.9894442223110755,2.9898840463814476,2.990323870451819,2.990763694522191,2.991203518592563,2.9916433426629347,2.9920831667333068,2.9925229908036783,2.9929628148740504,2.9934026389444224,2.993842463014794,2.994282287085166,2.994722111155538,2.9951619352259096,2.9956017592962816,2.996041583366653,2.996481407437025,2.996921231507397,2.9973610555777688,2.997800879648141,2.998240703718513,2.9986805277888844,2.9991203518592564,2.999560175929628,3.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/very_small.json b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/very_small.json new file mode 100644 index 000000000000..7508d0b055ae --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/test/fixtures/julia/very_small.json @@ -0,0 +1 @@ +{"expected":[99999.99993935568,5884.6358614774545,3031.5137276810233,2041.638968931887,1539.0838100926558,1235.0677457435406,1031.3450496902854,885.3133888294128,775.5064031452374,689.9325124858271,621.3669635526452,565.1973369565374,518.3407168547293,478.65823622468224,444.61941569172365,415.1002094796745,389.2564893267586,366.4420175052414,346.1536675177812,327.9938867800182,311.64438540178196,296.84732014267735,283.391595472586,271.10272857966316,259.83524154225864,249.46687482422664,239.89413291375064,231.02881753311402,222.7953020767932,215.12836874563132,207.9714773544268,201.27536853450894,194.9969283250526,189.09825881189795,183.54591247020318,178.31025752855288,173.3649489223032,168.68648489352276,164.2538334864465,160.0481164131747,156.05234026549584,152.25116700165827,148.63071717199742,145.17840056157706,141.8827698942365,138.73339401569334,135.72074759551998,132.83611489100784,130.07150552489318,127.41958056286742,124.87358745070347,122.42730259646112,120.07498056986299,117.8113090459048,115.63136874893868,113.53059776152851,111.5047596530892,109.54991495972816,107.66239561126909,105.83878195616234,104.07588208151141,102.37071316511053,100.72048463030485,99.12258290355744,97.57455759959882,96.0741089805669,94.61907655414521,93.20742869181038,91.83725316227459,90.50674848736051,89.2142160381399,87.95805279841517,86.73674473072106,85.5488606871186,84.39304681329165,83.26802139994207,82.17257014031927,81.10554175699251,80.06584396475559,79.0524397399036,78.06434386909494,77.10061975365565,76.1603764475369,75.24276590923424,74.34698044985231,73.47225036117354,72.61784170908966,71.78305427910115,70.96721966179649,70.1696994673094,69.38988365872943,68.627188995322,67.88105757720838,67.15095548387416,66.43637149952329,65.73681591888327,65.05181942759849,64.38093205183335,63.723722172143496,63.07977559707545,62.44869469231475,61.83009756153618,61.223617275409374,60.62890114548966,60.04561003997424,59.473417738534955,58.912010323648154,58.36108560603566,57.8203525820071,57.28953092065621,56.76835047901214,56.25655084338409,55.75388089526297,55.260098400259686,54.77496961866645,54.29826893632532,53.829778514579736,53.369287958167284,52.91659399999043,52.47150020177294,52.03381666967524,51.60335978400464,51.17995194221123,50.76342131441445,50.35360161075287,49.950331859895584,49.55345619809558,49.16282366820376,48.77828802810002,48.3997075680299,48.026944936367705,47.65986697335637,47.29834455240074,46.94225242851734,46.591469093566644,46.24587663791662,45.90536061820637,45.5698099308986,45.23911669132724,44.913176117963644,44.59188642164066,44.275148699488334,43.96286683334938,43.65494739245488,43.35129954015351,43.051834944498516,42.756467692507634,42.46511420792108,42.17769317229224,41.89412544925463,41.61433401181683,41.3382438725452,41.06578201650135,40.796877336808556,40.531460572727255,40.269464250127044,40.010822624246906,39.75547162464232,39.50334880222203,39.25439327828269,39.00854569545385,38.765748170470495,38.52594424869402,38.289078860306546,38.05509827810737,37.823950076843445,37.59558309400934,37.3699473920549,37.14699422194234,36.92667598799654,36.70894621399544,36.493759510449834,36.28107154302434,36.07083900205273,35.8630195731046,35.65757190856045,35.45445560015561,35.253631152454474,35.05505995721858,34.85870426863357,34.66452717936157,34.47249259738718,34.28256522362648,34.09471053027001,33.90889473983147,33.725084804876055,33.54324838840214,33.36335384485244,33.18537020173087,33.00926714180282,32.83501498585747,32.662584676011164,32.49194775953268,32.32307637317088,32.15594322796714,31.990521594534854,31.826785288789356,31.66470865811244,31.50426656793593,31.345434388729583,31.188187983379407,31.032503694942438,30.87835833476519,30.725729170953215,30.57459391717965,30.424930721821177,30.2767181574104,30.129935210393764,29.984561271184898,29.8405761245034,29.697959939989513,29.55669326308572,29.416757006176226,29.278132439975973,29.140801185161088,29.0047452042327,28.869946793606818,28.73638857592278,28.604053492563384,28.472924796379843,28.342986044615078,28.214221092019198,28.086614084150806,27.960149450858697,27.83481189993793,27.71058641095507,27.587458229237406,27.46541286002089,27.344436062752045,27.22451384553919,27.105632459748318,26.987778394739333,26.870938372738358,26.755099343842023,26.640248481149936,26.52637317602122,26.41346103345174,26.301499867568307,26.190477697236396,26.080382741778152,25.971203416797387,25.862928330108513,25.755546277766353,25.649046240193975,25.543417378405753,25.438649030322786,25.334730707178306,25.231652090010307,25.129403026238943,25.027973526326537,24.92735376051757,24.827534055656677,24.728504892082352,24.63025690059429,24.532780859492373,24.436067691685285,24.34010846186689,24.244894373758534,24.150416767415397,24.056667116595325,23.963637026188255,23.871318229704862,23.779702586822534,23.688782080987448,23.59854881707109,23.508995019079798,23.420113027916013,23.331895299189735,23.244334401079065,23.157423012238404,23.071153919753108,22.98552001713947,22.90051430238875,22.81612987605423,22.73235993938012,22.64919779247131,22.56663683250283,22.484670551968183,22.403292536965406,22.322496465519976,22.242276105943727,22.162625315228674,22.083538037475098,22.00500830235294,21.927030223595658,21.849597997525798,21.772705901611506,21.696348293053173,21.620519607399572,21.545214357192688,21.47042713064055,21.3961525903175,21.322385471891057,21.249120582874962,21.176352801407567,21.104077075055134,21.032288419639322,20.960981918088418,20.890152719311676,20.819796037096168,20.74990714902582,20.680481395421907,20.611514178304567,20.543000960374982,20.474937264017527,20.40731867032162,20.340140818122713,20.273399403062047,20.207090176664675,20.141208945435444,20.075751569972418,20.01071396409742,19.94609209400332,19.881881977417596,19.81807968278195,19.754681328447507,19.69168308188527,19.629081158911614,19.566871822928213,19.505051384176475,19.443616199005767,19.382562669155444,19.32188724105017,19.26158640510837,19.201656695063498,19.142094687297746,19.08289700018816,19.024060293464597,18.96558126757955,18.90745666308936,18.849683260046753,18.792257877404356,18.735177372429003,18.678438640126554,18.622038612677063,18.565974258880132,18.510242583610044,18.454840627280667,18.399765465319856,18.345014207653136,18.290583998196503,18.236472014358153,18.182675466548922,18.12919159770131,18.076017682796945,18.02315102840212,17.97058897221155,17.91832888259991,17.86636815818112,17.814704227375234,17.763334547982748,17.712256606766125,17.66146791903857,17.61096602825962,17.56074850563782,17.51081294973986,17.461156986106474,17.411778266874745,17.36267447040671,17.313843300924223,17.26528248814982,17.21698978695367,17.168962977006252,17.121199862436878,17.073698271497765,17.026456056233677,16.979471092156942,16.93274127792784,16.886264535040116,16.8400388075117,16.794062061580377,16.748332285404363,16.702847488767805,16.657605702790907,16.612604979644765,16.567843392270767,16.523319034104425,16.479030018803662,16.43497447998137,16.391150570942184,16.34755646442349,16.304190352340413,16.26105044553487,16.218134973528556,16.175442184279767,16.132970343943974,16.090717736638258,16.048682664209167,16.00686344600443,15.965258418647945,15.923865935818425,15.88268436803129,15.84171210242401,15.800947542544643,15.760389108143633,15.720035234968773,15.679884374563256,15.639934994066788,15.600185576019683,15.560634618169939,15.521280633283169,15.48212214895538,15.443157707428592,15.404385865409118,15.36580519388865,15.32741427796788,15.2892117166828,15.251196122833564,15.213366122815833,15.175720356454601,15.138257476840465,15.100976150168291,15.06387505557819,15.026952884998867,14.99020834299316,14.953640146605899,14.917247025213891,14.88102772037809,14.844980985697884,14.809105586667483,14.773400300534332,14.737863916159563,14.702495233880422,14.667293065374642,14.63225623352674,14.59738357229622,14.562673926587587,14.528126152122233,14.493739115312101,14.459511693135092,14.425442773012254,14.391531252686661,14.35777604010395,14.32417605329456,14.290730220257553,14.25743747884607,14.224296776654347,14.191307070906284,14.158467328345543,14.125776525127156,14.093233646710589,14.06083768775426,14.028587652011543,13.996482552228105,13.964521410040673,13.932703255877165,13.901027128858129,13.869492076699578,13.838097155617032,13.806841430230927,13.775723973473223,13.744743866495298,13.713900198577022,13.683192067037082,13.652618577144462,13.62217884203109,13.591871982605646,13.561697127468499,13.531653412827742,13.501739982416357,13.471955987410434,13.442300586348445,13.41277294505162,13.38337223654527,13.354097640981212,13.324948345561138,13.295923544461,13.267022438756348,13.238244236348638,13.209588151892467,13.18105340672377,13.152639228788887,13.124344852574557,13.096169519038815,13.068112475542716,13.040172975782966,13.012350279725386,12.984643653539223,12.957052369532247,12.929575706086712,12.902212947596098,12.874963384402612,12.847826312735519,12.820801034650206,12.793886857968003,12.767083096216762,12.740389068572153,12.713804099799697,12.687327520197503,12.660958665539715,12.634696877020641,12.60854150119958,12.58249188994629,12.556547400387176,12.53070739485207,12.504971240821689,12.47933831087573,12.45380798264158,12.42837963874364,12.403052666753288,12.377826459139396,12.352700413219475,12.327673931111399,12.302746419685686,12.277917290518372,12.253185959844417,12.228551848511701,12.20401438193552,12.179572990053659,12.155227107281958,12.130976172470438,12.106819628859922,12.082756924039153,12.058787509902434,12.03491084260776,12.011126382535425,11.987433594247118,11.963831946445502,11.940320911934245,11.916899967578518,11.893568594265957,11.870326276868076,11.847172504202089,11.824106768993229,11.80112856783745,11.778237401164576,11.755432773201862,11.732714191937976,11.710081169087386,11.68753322005516,11.66506986390216,11.642690623310598,11.620395024550044,11.598182597443763,11.576052875335455,11.554005395056356,11.53203969689272,11.510155324553654,11.488351825139302,11.466628749109423,11.444985650252269,11.423422085653831,11.401937615667434,11.380531803883668,11.359204217100595,11.337954425294388,11.316782001590203,11.295686522233396,11.274667566561087,11.253724716973979,11.232857558908538,11.212065680809436,11.191348674102324,11.170706133166867,11.150137655310107,11.129642840740084,11.109221292539766,11.088872616641238,11.068596421800184,11.048392319570633,11.028259924279988,11.008198853004302,10.988208725543839,10.968289164398884,10.948439794745816,10.928660244413415,10.908950143859474,10.889309126147564,10.869736826924152,10.850232884395904,10.830796939307188,10.811428634917926,10.79212761698154,10.772893533723265,10.753726035818575,10.734624776371893,10.71558941089554,10.696619597288826,10.677714995817444,10.658875269093036,10.640100082052946,10.621389101940258,10.602741998283935,10.584158442879279,10.565638109768477,10.547180675221439,10.528785817716797,10.510453217923052,10.492182558680021,10.47397352498035,10.455825803951313,10.437739084836746,10.419713058979168,10.401747419802101,10.383841862792552,10.365996085483674,10.348209787437614,10.330482670228514,10.312814437425697,10.295204794577023,10.277653449192396,10.260160110727442,10.242724490567378,10.225346302010974,10.208025260254761,10.190761082377314,10.17355348732376,10.15640219589037,10.13930693070938,10.122267416233887,10.105283378722948,10.088354546226805,10.071480648572242,10.054661417348106,10.037896585890964,10.02118588927089,10.004529064277417,9.987925849405572,9.971375984842116,9.954879212451866,9.938435275764164,9.922043919959485,9.905704891856164,9.889417939897267,9.873182814137552,9.856999266230586,9.840867049416001,9.824785918506823,9.808755629876961,9.792775941448792,9.776846612680892,9.76096740455585,9.745138079568225,9.729358401712597,9.713628136471758,9.697947050804963,9.682314913136368,9.666731493343502,9.651196562745893,9.635709894093795,9.620271261556999,9.604880440713764,9.589537208539864,9.574241343397718,9.558992625025613,9.543790834527067,9.528635754360241,9.513527168327489,9.498464861564983,9.483448620532432,9.468478233002928,9.453553488052833,9.438674176051803,9.423840088652884,9.409051018782705,9.394306760631762,9.37960710964477,9.364951862511154,9.350340817155544,9.335773772728471,9.32125052959701,9.306770889335642,9.292334654717097,9.277941629703346,9.263591619436628,9.24928443023059,9.235019869561498,9.220797746059503,9.206617869500048,9.192480050795258,9.178384101985504,9.164329836230971,9.150317067803345,9.136345612077546,9.122415285523557,9.108525905698304,9.094677291237618,9.08086926184829,9.067101638300143,9.053374242418231,9.039686897075077,9.026039426182974,9.012431654686381,8.998863408554353,8.985334514773063,8.971844801338378,8.958394097248505,8.944982232496683,8.931609038063979,8.9182743459121,8.904977988976293,8.891719801158324,8.878499617319456,8.865317273273565,8.852172605780263,8.839065452538096,8.825995652177802,8.812963044255635,8.799967469246718,8.787008768538493,8.774086784424183,8.76120136009636,8.748352339640526,8.735539568028761,8.722762891113437,8.710022155620969,8.697317209145634,8.684647900143435,8.672014077926013,8.659415592654613,8.646852295334098,8.634324037807042,8.621830672747821,8.609372053656806,8.596948034854545,8.584558471476083,8.572203219465212,8.559882135568891,8.54759507733162,8.535341903089908,8.523122471966765,8.510936643866268,8.498784279468124,8.486665240222344,8.474579388343898,8.462526586807446,8.45050669934212,8.43851959042632,8.426565125282583,8.414643169872464,8.402753590891502,8.390896255764181,8.379071032638945,8.367277790383294,8.35551639857885,8.34378672751652,8.332088648191693,8.32042203229943,8.308786752229736,8.297182681062878,8.285609692564705,8.274067661182022,8.262556462038015,8.25107597092769,8.23962606431336,8.228206619320183,8.216817513731696,8.205458625985434,8.194129835168535,8.182831021013433,8.171562063893532,8.160322844818959,8.149113245432313,8.137933148004485,8.126782435430487,8.115660991225317,8.104568699519854,8.093505445056804,8.08247111318666,8.071465589863703,8.060488761642018,8.04954051567158,8.038620739694313,8.027729322040232,8.016866151623601,8.006031117939099,7.995224111058038,7.984445021624614,7.97369374085217,7.962970160519496,7.952274172967162,7.941605671093885,7.930964548352888,7.920350698748341,7.909764016831798,7.8992043976986555,7.888671736984663,7.878165930862435,7.867686876038007,7.857234469747428,7.846808609753328,7.836409194341584,7.8260361223179595,7.815689293004784,7.805368606237662,7.795073962362215,7.784805262230819,7.774562407199401,7.764345299124241,7.754153840358801,7.74398793375058,7.733847482637991,7.7237323908472675,7.713642562689378,7.703577902956991,7.6935383169214315,7.683523710329685,7.673533989401408,7.663569060825971,7.653628831759519,7.643713209822061,7.633822103094562,7.623955420116082,7.614113069880925,7.604294961835792,7.594501005877002,7.584731112347673,7.574985192034975,7.565263156167379,7.555564916411918,7.5458903848715035,7.5362394740822145,7.526612097010653,7.517008167051279,7.5074275980238045,7.497870304170554,7.4883362001539115,7.478825201053726,7.469337222364768,7.459872179994199,7.450429990259063,7.441010569883775,7.4316138359976565,7.422239706132481,7.412888098220014,7.403558930589611,7.3942521219658,7.38496759146589,7.375705258597607,7.366465043256745,7.3572468657248145,7.348050646666734,7.338876307128522,7.329723768535013,7.3205929526875835,7.311483781761902,7.302396178305694,7.293330065236506,7.284285365839517,7.275262003765337,7.26625990302784,7.257278988002002,7.248319183421754,7.239380414377861,7.230462606315801,7.221565685033675,7.212689576680115,7.203834207752226,7.194999505093519,7.1861853958918855,7.1773918076775605,7.1686186683211215,7.159865906031487,7.151133449353931,7.142421227168126,7.133729168686172,7.125057203450666,7.116405261332779,7.107773272530326,7.099161167565882,7.090568877284884,7.081996332853759,7.073443465758069,7.064910207800653,7.056396491099799,7.047902248087418,7.039427411507234,7.030971914412992,7.02253569016666,7.014118672436672,7.0057207951961535,6.997341992721183,6.988982199589053,6.98064135067654,6.972319381158198,6.964016226504661,6.95573182248094,6.947466105144762,6.939219010844892,6.9309904762194785,6.922780438194422,6.914588833981724,6.9064156010778825,6.898260677262273,6.890124000595552,6.882005509418064,6.87390514234827,6.8658228382811775,6.857758536386785,6.849712176108532,6.841683697161769,6.833673039532231,6.825680143474518,6.8177049495105955,6.809747398428302,6.801807431279848,6.79388498938037,6.785980014306434,6.778092447894603,6.770222232239986,6.762369309694795,6.754533622866928,6.746715114618543,6.738913728064665,6.73112940657177,6.723362093756411,6.715611733483833,6.7078782698665975,6.70016164726323,6.692461810276866,6.6847787037539,6.677112272782662,6.66946246269208,6.661829219050376,6.654212487663744,6.646612214575059,6.639028346062586,6.6314608286386925,6.62390960904857,6.616374634268984,6.608855851507,6.601353208198736,6.593866652008135,6.5863961308257055,6.578941592767329,6.571502986173006,6.564080259605681,6.556673361850013,6.5492822419112,6.54190684901378,6.534547132600462,6.527203042330946,6.519874528080771,6.51256153994014,6.505264028212801,6.497981943414868,6.490715236273719,6.48346385772685,6.47622775892077,6.4690068912098715,6.4618012061553465,6.454610655524061,6.447435191287491,6.440274765620621,6.433129330900873,6.425998839707035,6.418883244818196,6.411782499212689,6.404696556067042,6.397625368754932,6.390568890846155,6.383527076105581,6.376499878492147,6.369487252157823,6.362489151446616,6.355505530893553,6.348536345223687,6.341581549351108,6.334641098377952,6.327714947593421,6.3208030524728125,6.313905368676548,6.307021852049218,6.300152458618613,6.293297144594792,6.286455866369121,6.279628580513344,6.272815243778654,6.266015813094757,6.259230245568958,6.252458498485245,6.245700529303377,6.238956295657985,6.232225755357669,6.225508866384108,6.218805586891171,6.212115875204034,6.205439689818315,6.198776989399183,6.192127732780512,6.185491878964009,6.178869387118362,6.172260216578391,6.165664326844204,6.159081677580354,6.152512228615009,6.145955939939124,6.139412771705603,6.1328826842285,6.126365637982194,6.119861593600575,6.113370511876251,6.106892353759742,6.100427080358682,6.093974652937037,6.087535032914315,6.081108181864784,6.074694061516704,6.068292633751541,6.061903860603219,6.055527704257346,6.049164127050462,6.042813091469277,6.036474560149939,6.030148495877275,6.02383486158406,6.017533620350278,6.011244735402397,6.004968170112633,5.998703887998238,5.99245185272078,5.986212028085422,5.979984378040225,5.9737688666754325,5.967565458222778,5.961374117054782,5.9551948076840615,5.949027494762646,5.942872143081282,5.936728717568769,5.930597183291269,5.924477505451637,5.918369649388761,5.912273580576883,5.906189264624956,5.90011666727597,5.894055754406314,5.888006492025113,5.881968846273594,5.875942783424439,5.86992826988115,5.8639252721774096,5.857933756976457,5.851953691070456,5.845985041379876,5.84002777495287,5.834081858964662,5.828147260716929,5.822223947637198,5.816311887278233,5.810411047317446,5.804521395556282,5.798642899919642,5.792775528455276,5.786919249333203,5.781074030845125,5.775239841403846,5.769416649542694,5.763604423914944,5.757803133293248,5.75201274656907,5.746233232752113,5.740464560969769,5.734706700466546,5.7289596206035265,5.7232232908578125,5.717497680821963,5.7117827602034685,5.7060784988241915,5.700384866619838,5.694701833639413,5.689029370044695,5.683367446109695,5.677716032220134,5.672075098872927,5.666444616675643,5.660824556346004,5.655214888711353,5.649615584708161,5.644026615381493,5.638447951884522,5.6328795654780075,5.6273214275298145,5.62177350951439,5.616235783012284,5.610708219709658,5.605190791397775,5.599683469972538,5.594186227433983,5.588699035885809,5.583221867534896,5.577754694690826,5.572297489765411,5.566850225272218,5.561412873826103,5.555985408142742,5.550567801038174,5.545160025428324,5.539762054328567,5.5343738608532504,5.528995418215247,5.523626699725513,5.518267678792626,5.512918328922352,5.5075786237171815,5.502248536875912,5.4969280421931925,5.4916171135590925,5.486315724958665,5.481023850471518,5.475741464271389,5.4704685406257,5.465205053895157,5.459950978533309,5.454706289086137,5.44947096019163,5.444244966579374,5.439028283070143,5.433820884575468,5.428622746097255,5.423433842727359,5.4182541496471845,5.413083642127288,5.40792229552697,5.402770085293881,5.397626986963625,5.392492976159371,5.387368028591448,5.382252120056969,5.3771452264394375,5.372047323708357,5.366958387918862,5.3618783952113205,5.356807321810968,5.351745144027518,5.346691838254798,5.341647380970367,5.336611748735153,5.331584918193077,5.326566866070687,5.321557569176795,5.316557004402109,5.311565148718879,5.306581979180531,5.301607472921307,5.296641607155923,5.291684359179195,5.286735706365701,5.28179562616943,5.276864096123428,5.271941093839455,5.267026597007638,5.262120583396134,5.257223030850779,5.252333917294752,5.247453220728251,5.242580919228135,5.237716990947608,5.232861414115871,5.228014167037809,5.223175228093647,5.21834457573863,5.213522188502704,5.208708044990171,5.203902123879397,5.19910440392246,5.19431486394486,5.189533482845181,5.184760239594784,5.179995113237498,5.1752380828892965,5.170489127737994,5.165748227042942,5.161015360134706,5.156290506414782,5.151573645355266,5.146864756498576,5.142163819457134,5.137470813913076,5.132785719617949,5.128108516392419,5.123439184125969,5.118777702776613,5.114124052370599,5.109478213002122,5.104840164833035,5.100209888092556,5.095587363076994,5.090972570149446,5.086365489739532,5.081766102343105,5.077174388521964,5.0725903289036,5.068013904180883,5.063445095111812,5.058883882519237,5.054330247290574,5.049784170377549,5.04524563279591,5.040714615625175,5.036191100008352,5.03167506715168,5.027166498324361,5.022665374858292,5.018171678147812,5.013685389649438,5.009206490881595,5.004734963424371,5.0002707889192575,4.995813949068883,4.991364425636775,4.986922200447088,4.982487255384371,4.9780595723933,4.973639133478436,4.969225920703981,4.964819916193521,4.960421102129788,4.956029460754411,4.951644974367672,4.947267625328273,4.94289739605308,4.938534269016895,4.934178226752213,4.929829251848984,4.92548732695438,4.921152434772554,4.916824558064412,4.9125036796473776,4.9081897823951595,4.903882849237522,4.89958286316006,4.8952898072039615,4.891003664465785,4.886724418097237,4.882452051304938,4.878186547350217,4.873927889548861,4.869676061270919,4.865431045940468,4.861192827035397,4.8569613880871865,4.852736712680695,4.84851878445394,4.844307587097884,4.840103104356217,4.83590532002515,4.831714217953196,4.82752978204096,4.823351996240939,4.8191808445572955,4.81501631104566,4.810858379812927,4.806707035017043,4.802562260866799,4.798424041621637,4.794292361591434,4.790167205136308,4.786048556666419,4.781936400641761,4.777830721571968,4.773731504016113,4.7696387325825125,4.765552391928531,4.761472466760387,4.757398941832948,4.753331801949552,4.749271031961804,4.745216616769392,4.74116854131989,4.737126790608567,4.733091349678204,4.729062203618903,4.725039337567902,4.721022736709385,4.717012386274298,4.713008271540165,4.7090103778309045,4.705018690516645,4.701033195013546,4.697053876783616,4.693080721334526,4.689113714219444,4.685152841036841,4.681198087430323,4.6772494390884525,4.67330688174457,4.669370401176623,4.665439983206987,4.661515613702292,4.657597278573253,4.653684963774498,4.649778655304397,4.645878339204887,4.641984001561305,4.638095628502221,4.6342132061992745,4.630336720866994,4.626466158762642,4.622601506186044,4.61874274947943,4.6148898750272584,4.611042869256069,4.607201718634306,4.6033664096721605,4.599536928921415,4.595713262975276,4.5918953984682185,4.5880833220758275,4.584277020514631,4.58047648054196,4.576681688955775,4.572892632594517,4.569109298336956,4.565331673102032,4.561559743848696,4.557793497575769,4.554032921321782,4.550278002164822,4.54652872722239,4.54278508365124,4.539047058647244,4.535314639445219,4.5315878133188106,4.527866567580311,4.524150889580548,4.520440766708703,4.516736186392195,4.513037136096519,4.509343603325102,4.505655575619174,4.501973040557602,4.498295985756775,4.494624398870433,4.4909582675895505,4.487297579642182,4.483642322793332,4.479992484844803,4.4763480536350695,4.472709017039138,4.4690753629684,4.465447079370506,4.461824154229226,4.458206575564318,4.454594331431381,4.450987409921737,4.447385799162286,4.443789487315376,4.440198462578673,4.43661271318503,4.433032227402349,4.4294569935334565,4.4258869999159725,4.422322234922179,4.4187626869588925,4.41520834446734,4.411659195923023,4.408115229835591,4.404576434748729,4.40104279924001,4.397514311920786,4.39399096143606,4.390472736464351,4.386959625717585,4.383451617940963,4.37994870191284,4.376450866444607,4.372958100380561,4.369470392597791,4.365987732006054,4.362510107547657,4.359037508197337,4.355569922962143,4.352107340881313,4.348649751026159,4.345197142499954,4.341749504437807,4.338306826006557,4.334869096404642,4.331436304862001,4.328008440639942,4.324585493031047,4.321167451359037,4.31775430497868,4.314346043275656,4.310942655666465,4.307544131598299,4.304150460548946,4.300761632026663,4.2973776355700775,4.293998460748074,4.290624097159681,4.287254534433972,4.28388976222994,4.280529770236408,4.277174548171908,4.273824085784583,4.270478372852073,4.267137399181413,4.263801154608928,4.260469629000126,4.25714281224959,4.25382069428088,4.250503265046428,4.247190514527426,4.243882432733736,4.240579009703778,4.237280235504431,4.2339861002309345,4.23069659400678,4.227411706983614,4.224131429341141,4.220855751287018,4.217584663056757,4.21431815491363,4.21105621714856,4.207798840080034,4.204546014053999,4.201297729443767,4.198053976649912,4.194814746100186,4.191580028249409,4.188349813579384,4.185124092598792,4.181902855843106,4.1786860938744885,4.175473797281706,4.172265956680026,4.169062562711133,4.165863606043025,4.162669077369931,4.159478967412213,4.156293266916271,4.153111966654463,4.149935057425009,4.146762530051885,4.143594375384761,4.140430584298885,4.137271147695016,4.134116056499313,4.130965301663264,4.127818874163584,4.124676765002139,4.121538965205852,4.118405465826614,4.1152762579412,4.112151332651185,4.109030681082849,4.105914294387105,4.1028021637394,4.099694280339635,4.096590635412081,4.093491220205298,4.0903960259920416,4.08730504406919,4.084218265757649,4.081135682402284,4.07805728537182,4.074983066058773,4.071913015879361,4.068847126273427,4.065785388704352,4.062727794658976,4.059674335647524,4.056625003203513,4.053579788883684,4.0505386842679165,4.047501680959147,4.044468770583297,4.041439944789188,4.038415195248468,4.035394513655527,4.032377891727426,4.029365321203816,4.026356793846862,4.023352301441165,4.020351835793691,4.017355388733685,4.014362952112601,4.011374517804031,4.008390077703618,4.005409623728996,4.002433147819698,3.9994606419371004,3.996492098064333,3.9935275082062143,3.990566864389177,3.9876101586611945,3.984657383091701,3.9817085297715313,3.9787635908128425,3.975822558349039,3.972885424534706,3.969952181545539,3.9670228215782646,3.9640973368505774,3.961175719601068,3.9582579620891525,3.9553440565950013,3.9524339954194714,3.949527770884032,3.946625375330705,3.943726801121986,3.940832040640785,3.9379410862903477,3.935053930494202,3.932170565696072,3.9292909843598274,3.926415178969406,3.923543142028753,3.920674866061747,3.9178103436121416,3.9149495672434966,3.9120925295391054,3.9092392231019457,3.9063896405545937,3.9035437745391754,3.9007016177172944,3.8978631627699687,3.895028402397567,3.8921973293197425,3.8893699362753726,3.8865462160224924,3.883726161338233,3.8809097650187616,3.8780970198792093,3.8752879187536178,3.8724824544948735,3.869680619974649,3.8668824080833355,3.86408781172998,3.861296823842236,3.858509437366291,3.855725645266809,3.8529454405268715,3.850168816147913,3.8473957651496664,3.8446262805701013,3.8418603554653608,3.839097982909709,3.836339155995462,3.8335838678329437,3.8308321115504094,3.828083880294002,3.825339167227684,3.8225979655331863,3.8198602684099483,3.8171260690750564,3.8143953607631915,3.8116681367265737,3.8089443902348963,3.8062241145752793,3.8035073030522066,3.800793948987474,3.7980840457201275,3.795377586606414,3.792674565019723,3.7899749743505278,3.787278808006336,3.7845860594116334,3.781896722007825,3.779210789253189,3.776528254622809,3.7738491116085346,3.7711733537189187,3.768500974479166,3.765831967431081,3.7631663261330113,3.7605040441597986,3.7578451151027217,3.755189532569451,3.7525372901839837,3.7498883815866053,3.7472428004338307,3.744600540398351,3.741961595168983,3.739325958450621,3.736693623964183,3.734064585446559,3.7314388366505598,3.7288163713448728,3.7261971833139977,3.723581266358215,3.720968614293518,3.718359220951574,3.7157530801796708,3.7131501858406653,3.710550531812943,3.707954111990356,3.7053609202821836,3.7027709506130795,3.700184196923025,3.6976006531672785,3.6950203133163306,3.6924431713558525,3.6898692212866515,3.687298457124618,3.684730872900687,3.68216646266078,3.679605220465767,3.6770471403914144,3.6744922165283405,3.671940442981967,3.669391813872474,3.6668463233347555,3.6643039655183673,3.6617647345874893,3.659228624720872,3.6566956301117983,3.654165744968031,3.651638963511772,3.649115279979616,3.646594688622508,3.6440771837056944,3.64156275950868,3.6390514103251848,3.636543130463101,3.634037914244444,3.631535756005314,3.6290366500958484,3.626540590880181,3.624047572736395,3.6215575900564874,3.619070637246314,3.616586708725559,3.6141057989276817,3.6116279022998823,3.6091530133030534,3.6066811264117424,3.6042122361141047,3.6017463369118676,3.599283423320282,3.596823489868083,3.5943665310974535,3.591912541563974,3.5894615158365903,3.5870134484975655,3.5845683341424426,3.582126167380002,3.579686942832225,3.5772506551342445,3.574817298934318,3.5723868688937737,3.5699593596869765,3.5675347660012964,3.5651130825370516,3.5626943040074823,3.5602784251387067,3.5578654406696826,3.555455345352167,3.5530481339506785,3.550643801242459,3.548242342017431,3.5458437510781633,3.543448023239835,3.541055153330187,3.5386651361894943,3.5362779666705255,3.5338936396384986,3.531512149971054,3.5291334925582056,3.5267576623023142,3.5243846541180406,3.522014462932315,3.5196470836842964,3.51728251132534,3.5149207408189524,3.5125617671407636,3.5102055852784875,3.50785219023188,3.505501577012715,3.5031537406447337,3.5008086761636226,3.4984663786169636,3.4961268430642134,3.4937900645766526,3.491456038237365,3.489124759141189,3.486796222394691,3.484470423116129,3.482147356435413,3.4798270174940766,3.477509401445238,3.475194503453567,3.4728823186952487,3.470572842357954,3.468266069640797,3.4659619957543124,3.4636606159204084,3.461361925372345,3.4590659193546918,3.456772593123297,3.4544819419452577,3.4521939610988785,3.4499086458736477,3.4476259915701952,3.445345993500267,3.443068646986686,3.440793947363325,3.438521889975069,3.436252470177787,3.433985683338294,3.4317215248343267,3.4294599900545033,3.4272010743982975,3.4249447732760014,3.4226910821086967,3.4204399963282244,3.4181915113771475,3.415945622708729,3.413702325786886,3.411461616086175,3.4092234890917505,3.4069879402993326,3.404754965215184,3.402524559356071,3.400296718249242,3.398071437432384,3.3958487124536063,3.3936285388713974,3.391410912254605,3.389195828182397,3.38698328224424,3.384773270039862,3.382565787179224,3.380360829282497,3.37815839198002,3.375958470912284,3.373761061729889,3.371566160093529,3.369373761673949,3.367183862151924,3.3649964572182287,3.362811542573605,3.360629113928742,3.3584491670042316,3.356271697530558,3.3540967012480563,3.3519241739068897,3.3497541112670164,3.3475865090981682,3.3454213631798155,3.343258669301147,3.3410984232610317,3.3389406208679975,3.3367852579402064,3.334632330305417,3.3324818338009665,3.3303337642737354,3.32818811758013,3.3260448895860413,3.323904076166832,3.3217656732072993,3.3196296766016546,3.317496082253488,3.315364886075751,3.313236083990725,3.311109671929994,3.308985645834421,3.3068640016541178,3.3047447353484216,3.302627842885866,3.30051332024416,3.2984011634101553,3.296291368379824,3.2941839311582317,3.292078847759512,3.2899761142068407,3.2878757265324094,3.2857776807774037,3.2836819729919693,3.281588599235195,3.279497555575084,3.277408838088528,3.2753224428612824,3.273238365987944,3.271156603571921,3.269077151725413,3.267000006569381,3.26492516423353,3.2628526208562754,3.260782372584726,3.2587144155746555,3.2566487459904776,3.254585360005228,3.252524253800529,3.2504654235665758,3.2484088655021073,3.2463545758143844,3.2443025507191603,3.242252786440668,3.2402052792115836,3.2381600252730123,3.23611702087446,3.234076262273811,3.232037745737305,3.2300014675395126,3.2279674239633147,3.225935611299874,3.22390602584862,3.2218786639172157,3.2198535218215447,3.217830595885681,3.21580988244187,3.2137913778305056,3.2117750784001027,3.2097609805072858,3.2077490805167512,3.205739374801258,3.2037318597415974,3.201726531726576,3.199723387152989,3.1977224224256005,3.1957236339571193,3.193727018168183,3.191732571487327,3.1897402903509686,3.187750171203386,3.185762210496691,3.183776404690814,3.181792750253478,3.1798112436601795,3.1778318813941624,3.1758546599464053,3.1738795758155907,3.171906625508092,3.1699358055379467,3.1679671124268367,3.1660005427040705,3.1640360929065547,3.1620737595787864,3.1601135392728157,3.158155428548237,3.1561994239721667,3.1542455221192154,3.1522937195714795,3.1503440129185076,3.1483963987572907,3.1464508736922348,3.144507434335147,3.142566077305206,3.1406267992289547,3.1386895967402673,3.136754466480341,3.134821405097663,3.132890409248006,3.1309614755943933,3.129034600807092,3.1271097815635835,3.125187014548549,3.1232662964538496,3.121347623978506,3.119430993828679,3.1175164027176487,3.1156038473658003,3.1136933245005984,3.1117848308565734,3.1098783631752958,3.1079739182053685,3.1060714927023922,3.104171083428962,3.1022726871546364,3.1003763006559253,3.098481920716272,3.096589544126028,3.094699167682442,3.0928107881896354,3.090924402458588,3.0890400073071156,3.0871575995598586,3.085277176048253,3.0833987336105215,3.0815222690916513,3.079647779343377,3.0777752612241627,3.0759047115991813,3.074036127340301,3.072169505326063,3.070304842441668,3.0684421355789544,3.066581381636384,3.0647225775190203,3.0628657201385163,3.061010806413091,3.0591578332675153,3.0573067976330988,3.0554576964476583,3.0536105266555196,3.051765285207485,3.0499219690608226,3.048080575179248,3.046241100532908,3.044403542098363,3.0425678968585688,3.040734161802861,3.0389023339269374,3.0370724102328444,3.0352443877289517,3.0334182634299474,3.031594034356811,3.0297716975368023,3.027951250003443,3.0261326887965025,3.0243160109619764,3.0225012135520766,3.020688293625208,3.0188772482459587,3.0170680744850795,3.015260769419469,3.0134553301321576,3.0116517537122913,3.009850037255117,3.00805017786196,3.0062521726402203,3.0044560187033422,3.0026617131708124,3.000869253168133,2.99907863582681,2.9972898582843435,2.995502917684199,2.993717811175804,2.9919345359145257,2.990153089061658,2.988373467784405,2.986595669255867,2.9848196906550233,2.9830455291667173,2.981273181981643,2.979502646296328,2.9777339193131183,2.975966998240163,2.9742018802914028,2.972438562686548,2.9706770426510705,2.9689173174161843,2.967159384218834,2.9654032403016757,2.963648882913067,2.961896309307049,2.960145516743333,2.958396502487282,2.9566492638099042,2.954903797987832,2.9531601023033076,2.9514181740441723,2.9496780105038467,2.947939608981324,2.946202966781146,2.944468081213398,2.9427349495936883,2.9410035692431364,2.9392739374883585,2.937546051661453,2.935819909099988,2.9340955071469845,2.932372843150906,2.9306519144656393,2.928932718450489,2.927215252470151,2.925499513894714,2.9237855000996316,2.9220732084657195,2.920362636379132,2.9186537812313595,2.916946640419204,2.9152412113447705,2.913537491415457,2.9118354780439333,2.9101351686481345,2.9084365606512432,2.9067396514816775,2.905044438573077,2.9033509193642937,2.9016590912993707,2.899968951827538,2.898280498403192,2.896593728485884,2.894908639540314,2.8932252290363065,2.891543494448807,2.8898634332578617,2.888185042948612,2.8865083210112727,2.884833264941129,2.8831598722385157,2.881488140408809,2.879818066962412,2.87814964941474,2.8764828852862134,2.87481777210224,2.873154307393207,2.8714924886944604,2.869832313546303,2.868173779493972,2.8665168840876376,2.8648616248823773,2.8632079994381763,2.861556005319906,2.8599056400973155,2.8582569013450216,2.85660978664249,2.8549642935740325,2.8533204197287834,2.8516781627006993,2.850037520088537,2.848398489495848,2.846761068530963,2.8451252548069834,2.8434910459417653,2.8418584395579085,2.8402274332827497,2.838598024748344,2.836970211591455,2.8353439914535463,2.8337193619807657,2.832096320823936,2.830474865638543,2.8288549940847214,2.8272367038272486,2.825619992535527,2.8240048578835775,2.822391297550027,2.82077930921809,2.819168890575572,2.817560039314841,2.815952753132831,2.8143470297310196,2.8127428668154244,2.8111402620965875,2.809539213289566,2.8079397181139187,2.806341774293699,2.804745379557441,2.803150531638148,2.801557228273284,2.7999654672047574,2.79837524617892,2.796786562946543,2.7951994152628186,2.7936138008873392,2.792029717584096,2.790447163121457,2.788866135272167,2.78728663181333,2.785708650526399,2.7841321891971726,2.7825572456157723,2.7809838175766433,2.779411902878536,2.777841499324501,2.7762726047218713,2.7747052168822637,2.773139333621554,2.7715749527598796,2.77001207212162,2.7684506895353884,2.766890802834028,2.76533240985459,2.7637755084383357,2.762220096430715,2.7606661716813656,2.759113732044096,2.7575627753768805,2.7560132995418427,2.7544653024052557,2.752918781837518,2.7513737357131562,2.749830161910811,2.7482880583132205,2.7467474228072217,2.7452082532837303,2.743670547637738,2.7421343037683017,2.740599519578528,2.739066192975567,2.7375343218706085,2.7360039041788604,2.734474937819549,2.732947420715904,2.7314213507951504,2.7298967259884988,2.728373544231136,2.7268518034622167,2.725331501624849,2.723812636666093,2.7222952065369426,2.720779209192321,2.719264642591073,2.71775150469595,2.7162397934736044,2.71472950689458,2.7132206429333015,2.711713199568066,2.710207174781034,2.708702566558219,2.70719937288948,2.7056975917685095,2.704197221192827,2.7026982591637685,2.70120070368648,2.6997045527699033,2.6982098044267704,2.696716456673595,2.695224507530664,2.6937339550220227,2.692244797175471,2.690757032022559,2.6892706575985645,2.6877856719424984,2.686302073097086,2.6848198591087646,2.6833390280276697,2.681859577907628,2.6803815068061536,2.678904812784429,2.677429493907304,2.6759555482432873,2.674482973864535,2.6730117688468407,2.6715419312696294,2.67007345921595,2.6686063507724627,2.6671406040294365,2.6656762170807333,2.6642131880238042,2.6627515149596803,2.661291195992965,2.6598322292318226,2.658374612787974,2.656918344776683,2.655463423316756,2.6540098465305224,2.6525576125438386,2.6511067194860716,2.649657165490092,2.6482089486922664,2.6467620672324528,2.6453165192539863,2.6438723029036724,2.6424294163317845,2.6409878576920507,2.6395476251416423,2.6381087168411743,2.6366711309546917,2.6352348656496627,2.6337999190969725,2.6323662894709097,2.630933974949165,2.629502973712821,2.6280732839463425,2.6266449038375708,2.6252178315777157,2.623792065361344,2.622367603386377,2.6209444438540808,2.6195225849690558,2.618102024939234,2.6166827619758655,2.615264794293515,2.6138481201100547,2.6124327376466514,2.6110186451277646,2.6096058407811347,2.6081943228377797,2.6067840895319825,2.605375139101288,2.603967469786491,2.602561079831634,2.6011559674839946,2.5997521309940828,2.5983495686156277,2.596948278605575,2.59554825922408,2.594149508734494,2.5927520254033642,2.591355807500422,2.5899608532985776,2.5885671610739127,2.587174729105669,2.5857835556762474,2.5843936390711986,2.583004977579212,2.5816175694921126,2.580231413104854,2.578846506715509,2.577462848625263,2.576080437138407,2.5746992705623324,2.5733193472075193,2.5719406653875363,2.5705632234190245,2.5691870196217,2.5678120523183416,2.5664383198347798,2.5650658204999006,2.5636945526456287,2.5623245146069267,2.5609557047217835,2.559588121331211,2.5582217627792363,2.556856627412894,2.5554927135822183,2.55413001964024,2.5527685439429755,2.5514082848494226,2.5500492407215547,2.548691409924307,2.547334790825583,2.545979381796233,2.5446251812100567,2.543272187443794,2.541920398877121,2.540569813892635,2.5392204308758597,2.537872248215228,2.5365252643020826,2.5351794775306646,2.533834886298112,2.532491489004448,2.531149284052576,2.5298082698482776,2.528468444800198,2.527129807319847,2.525792355821588,2.5244560887226326,2.5231210044430354,2.5217871014056867,2.520454378036307,2.5191228327634385,2.51779246401844,2.516463270235481,2.5151352498515362,2.513808401306375,2.512482723042565,2.5111582135054498,2.5098348711431577,2.50851269440659,2.507191681749412,2.5058718316280513,2.504553142501688,2.503235612832251,2.501919241084411,2.500604025725576,2.49928996522588,2.497977058058185,2.496665302698066,2.495354697623812,2.494045241316417,2.4927369322595756,2.4914297689396707,2.4901237498457793,2.4888188734696546,2.487515138305728,2.4862125428510984,2.484911085605528,2.48361076507144,2.482311579753905,2.481013528160641,2.4797166088020064,2.4784208201909936,2.4771261608432225,2.475832629276936,2.4745402240129915,2.473248943574861,2.471958786488617,2.470669751282936,2.4693818364890836,2.4680950406409163,2.4668093622748706,2.46552479992996,2.46424135214777,2.4629590174724476,2.461677794450703,2.460397681631798,2.4591186775675418,2.457840780812288,2.4565639899229263,2.4552883034588753,2.4540137199820835,2.452740238057018,2.4514678562506576,2.4501965731324935,2.4489263872745193,2.447657297251227,2.4463893016396008,2.445122399019111,2.443856587971713,2.4425918670818345,2.4413282349363765,2.4400656901247024,2.438804231238642,2.437543856872472,2.436284565622923,2.435026356089168,2.433769226872819,2.4325131765779227,2.43125820381095,2.4300043071807975,2.428751485298779,2.427499736778619,2.42624906023645,2.424999454290806,2.423750917562616,2.4225034486752026,2.4212570462542713,2.420011708927912,2.418767435326587,2.4175242240831314,2.4162820738327437,2.4150409832129833,2.4138009508637652,2.4125619754273533,2.411324055548358,2.410087189873728,2.4088513770527475,2.4076166157370285,2.4063829045805116,2.405150242239453,2.4039186273724242,2.4026880586403103,2.401458534706294,2.400230054235864,2.3990026158967988,2.3977762183591724,2.396550860295337,2.395326540379929,2.394103257289859,2.3928810097043063,2.3916597963047153,2.3904396157747945,2.3892204668005026,2.3880023480700503,2.3867852582738984,2.385569196104743,2.3843541602575185,2.3831401494293916,2.381927162319753,2.3807151976302174,2.379504254064617,2.3782943303289947,2.377085425131601,2.3758775371828897,2.374670665195512,2.373464807884314,2.372259963966328,2.371056132160775,2.3698533111890487,2.3686514997747232,2.3674506966435387,2.3662509005234056,2.36505211014439,2.3638543242387167,2.3626575415407625,2.361461760787049,2.3602669807162457,2.3590732000691523,2.3578804175887083,2.3566886320199787,2.3554978421101533,2.354308046608543,2.3531192442665727,2.351931433837779,2.3507446140778048,2.3495587837443943,2.348373941597389,2.347190086398724,2.3460072169124233,2.3448253319045946,2.3436444301434243,2.3424645103991764,2.3412855714441836,2.3401076120528477,2.33893063100163,2.3377546270690504,2.3365795990356846,2.3354055456841527,2.3342324657991274,2.333060358167314,2.331889221577458,2.3307190548203365,2.3295498566887534,2.328381625977537,2.3272143614835343,2.32604806200561,2.324882726344634,2.323718353303486,2.322554941687048,2.321392490302201,2.320230997957817,2.3190704634647594,2.3179108856358788,2.316752263286003,2.315594595231942,2.3144378802924757,2.313282117288352,2.3121273050422873,2.3109734423789554,2.309820528124989,2.3086685611089734,2.3075175401614394,2.3063674641148664,2.30521833180367,2.3040701420642056,2.302922893734759,2.3017765856555448,2.300631216668702,2.299486785618291,2.2983432913502835,2.2972007327125716,2.2960591085549478,2.2949184177291126,2.2937786590886686,2.2926398314891108,2.2915019337878295,2.2903649648441027,2.289228923519093,2.2880938086758436,2.286959619179275,2.2858263538961805,2.284694011695222,2.2835625914469277,2.282432092023686,2.2813025122997432,2.2801738511511997,2.279046107456005,2.2779192800939554,2.2767933679466883,2.275668369897681,2.2745442848322455,2.2734211116375214,2.272298849202479,2.271177496417911,2.2700570521764294,2.268937515372462,2.267818884902246,2.266701159663833,2.2655843385570735,2.2644684204836225,2.2633534043469297,2.262239289052241,2.261126073506589,2.260013756618795,2.2589023372994617,2.257791814460971,2.2566821870174802,2.255573453884916,2.2544656139809787,2.2533586662251253,2.25225260953858,2.2511474428443203,2.250043165067079,2.248939775133338,2.247837271971327,2.246735654511015,2.2456349216841147,2.2445350724240734,2.2434361056660665,2.242338020347005,2.2412408154055186,2.2401444897819625,2.2390490424184084,2.2379544722586426,2.2368607782481633,2.235767959334178,2.2346760144655926,2.233584942593021,2.232494742668769,2.2314054136468386,2.2303169544829213,2.2292293641343965,2.2281426415603267,2.227056785721454,2.225971795580198,2.2248876701006512,2.223804408248576,2.222722008991403,2.221640471298221,2.2205597941397865,2.219479976488505,2.218401017318439,2.2173229156053007,2.2162456703264484,2.215169280460882,2.2140937449892446,2.2130190628938116,2.2119452331584943,2.2108722547688355,2.209800126712001,2.2087288479767806,2.2076584175535885,2.20658883443445,2.2055200976130074,2.204452206084513,2.2033851588458244,2.2023189548954063,2.2012535932333206,2.2001890728612303,2.19912539278239,2.198062552001647,2.1970005495254337,2.195939384361772,2.194879055520261,2.19381956201208,2.1927609028499835,2.1917030770482993,2.190646083622921,2.189589921591311,2.1885345899724933,2.18748008778705,2.1864264140571232,2.1853735678064052,2.1843215480601397,2.183270353845117,2.182219984189673,2.181170438123683,2.18012171467856,2.1790738128872555,2.1780267317842466,2.176980470405545,2.175935027788685,2.1748904029727245,2.173846594998241,2.1728036029073303,2.1717614257435973,2.170720062552162,2.169679512379651,2.1686397742741956,2.167600847285427,2.166562730464478,2.1655254228639755,2.164488923538039,2.1634532315422783,2.1624183459337907,2.1613842657711566,2.1603509901144378,2.1593185180251737,2.1582868485663798,2.1572559808025447,2.156225913799624,2.1551966466250407,2.1541681783476814,2.1531405080378954,2.152113634767488,2.1510875576097175,2.150062275639298,2.149037787932391,2.148014093566606,2.1469911916209927,2.1459690811760446,2.1449477613136927,2.143927231117302,2.1429074896716704,2.1418885360630244,2.140870369379019,2.139852988708731,2.1388363931426606,2.137820581772723,2.1368055536922532,2.135791307995995,2.134777843780103,2.133765160142142,2.1327532561810774,2.1317421309972793,2.130731783692515,2.1297222133699463,2.128713419134135,2.1277054000910267,2.126698155347958,2.125691684013652,2.1246859851982127,2.1236810580131253,2.1226769015712508,2.1216735149868264,2.120670897375461,2.1196690478541322,2.1186679655411846,2.1176676495563265,2.1166680990206292,2.115669313056519,2.1146712907877836,2.113674031339558,2.1126775338383323,2.1116817974119444,2.1106868211895766,2.1096926043017543,2.1086991458803435,2.107706445058548,2.106714500970907,2.105723312753293,2.1047328795429054,2.1037432004782763,2.102754274699257,2.1017661013470263,2.100778679564079,2.099792008494228,2.098806087282603,2.0978209150756433,2.096836491021099,2.0958528142680275,2.094869883966791,2.093887699269052,2.092906259327775,2.091925563297219,2.090945610332941,2.0899663995917876,2.088987930231895,2.088010201412688,2.0870332122948745,2.0860569620404448,2.0850814498126717,2.084106674776102,2.083132636096557,2.0821593329411345,2.0811867644781987,2.080214929877382,2.079243828309582,2.0782734589469607,2.0773038209629386,2.0763349135321922,2.075366735830659,2.074399287035524,2.0734325663252267,2.0724665728794514,2.071501305879133,2.070536764506446,2.069572947944807,2.068609855378872,2.067647485994533,2.066685838978917,2.065724913520382,2.0647647088085157,2.0638052240341316,2.062846458389269,2.0618884110671907,2.0609310812623782,2.0599744681705303,2.059018570988562,2.058063388914604,2.057108921147992,2.0561551668892744,2.055202125340206,2.0542497957037447,2.0532981771840486,2.0523472689864786,2.0513970703175888,2.050447580385132,2.0494987983980506,2.048550723566479,2.047603355101739,2.0466566922163394,2.045710734123972,2.044765480039509,2.0438209291790037,2.042877080759684,2.041933933999955,2.040991488119393,2.040049742338745,2.039108695879926,2.038168347966016,2.0372286978212606,2.0362897446710657,2.0353514877419974,2.0344139262617773,2.033477059459284,2.0325408865645476,2.0316054068087497,2.0306706194242192,2.0297365236444325,2.028803118704011,2.027870403838716,2.0269383782854495,2.0260070412822526,2.0250763920683004,2.024146429883902,2.023217153970498,2.0222885635706587,2.0213606579280814,2.0204334362875884,2.0195068978951243,2.0185810419977557,2.0176558678436676,2.0167313746821605,2.015807561763652,2.014884428339671,2.013961973662856,2.013040196986954,2.0121190975668197,2.0111986746584116,2.0102789275187893,2.0093598554061143,2.0084414575796443,2.0075237332997364,2.0066066818278365,2.0056903024264883,2.0047745943593203,2.0038595568910527,2.00294518928749,2.0020314908155217,2.0011184607431165,2.0002060983393273,1.9992944028742803,1.9983833736191825,1.9974730098463103,1.9965633108290146,1.9956542758417155,1.9947459041599007,1.993838195060126,1.992931147820009,1.992024761718229,1.9911190360345288,1.9902139700497044,1.9893095630456124,1.9884058143051604,1.9875027231123121,1.9866002887520766,1.9856985105105165,1.9847973876747362,1.983896919532889,1.9829971053741682,1.9820979444888078,1.9811994361680827,1.9803015797043022,1.9794043743908123,1.9785078195219907,1.9776119143932496,1.9767166583010247,1.9758220505427855,1.9749280904170232,1.974034777223252,1.9731421102620117,1.972250088834858,1.9713587122443679,1.9704679797941325,1.969577890788758,1.9686884445338624,1.9677996403360754,1.9669114775030356,1.9660239553433867,1.9651370731667792,1.9642508302838664,1.9633652260063026,1.9624802596467428,1.9615959305188388,1.9607122379372377,1.9598291812175828,1.9589467596765078,1.9580649726316388,1.9571838194015885,1.956303299305957,1.9554234116653326,1.9545441558012826,1.9536655310363569,1.9527875366940879,1.9519101720989833,1.9510334365765274,1.9501573294531789,1.9492818500563702,1.948406997714505,1.9475327717569533,1.9466591715140555,1.9457861963171155,1.9449138454984023,1.9440421183911483,1.943171014329543,1.9423005326487368,1.9414306726848372,1.9405614337749046,1.9396928152569572,1.9388248164699602,1.9379574367538313,1.9370906754494364,1.936224531898588,1.935359005444043,1.9344940954295027,1.9336298011996076,1.9327661220999406,1.93190305747702,1.931040606678303,1.93017876905218,1.9293175439479764,1.9284569307159458,1.9275969287072738,1.926737537274074,1.9258787557693855,1.925020583547172,1.9241630199623216,1.9233060643706426,1.9224497161288623,1.9215939745946289,1.9207388391265026,1.9198843090839632,1.919030383827401,1.9181770627181178,1.9173243451183253,1.9164722303911446,1.9156207179006033,1.9147698070116328,1.9139194970900673,1.913069787502647,1.9122206776170065,1.9113721668016825,1.910524254426108,1.909676939860611,1.908830222476414,1.9079841016456318,1.9071385767412674,1.9062936471372152,1.905449312208257,1.904605571330059,1.9037624238791722,1.9029198692330325,1.9020779067699516,1.9012365358691272,1.900395755910629,1.8995555662754091,1.8987159663452873,1.8978769555029642,1.8970385331320068,1.8962006986168547,1.895363451342815,1.8945267906960637,1.8936907160636403,1.892855226833449,1.8920203223942573,1.8911860021356939,1.890352265448245,1.889519111723257,1.8886865403529316,1.8878545507303244,1.8870231422493475,1.8861923143047616,1.8853620662921802,1.8845323976080635,1.8837033076497223,1.8828747958153094,1.882046861503824,1.8812195041151094,1.8803927230498478,1.8795665177095644,1.8787408874966198,1.8779158318142137,1.877091350066379,1.8762674416579868,1.8754441059947362,1.87462134248316,1.8737991505306204,1.8729775295453084,1.8721564789362393,1.8713359981132565,1.8705160864870247,1.8696967434690344,1.8688779684715942,1.868059760907832,1.8672421201916978,1.8664250457379519,1.8656085369621764,1.8647925932807625,1.863977214110915,1.8631623988706523,1.8623481469787977,1.8615344578549862,1.860721330919659,1.8599087655940607,1.8590967613002418,1.8582853174610547,1.857474433500153,1.8566641088419904,1.8558543429118164,1.8550451351356811,1.8542364849404283,1.8534283917536953,1.852620855003914,1.8518138741203047,1.8510074485328811,1.850201577672445,1.8493962609705827,1.8485914978596683,1.8477872877728612,1.846983630144104,1.8461805244081175,1.8453779700004085,1.844575966357259,1.8437745129157288,1.842973609113656,1.8421732543896536,1.841373448183106,1.8405741899341725,1.8397754790837832,1.8389773150736357,1.838179697346199,1.837382625344706,1.8365860985131581,1.8357901162963193,1.8349946781397173,1.834199783489641,1.8334054317931419,1.8326116224980273,1.831818355052865,1.8310256289069773,1.8302334435104437,1.8294417983140967,1.8286506927695207,1.8278601263290524,1.8270700984457768,1.8262806085735308,1.8254916561668963,1.8247032406812012,1.823915361572519,1.8231280182976686,1.822341210314207,1.8215549370804367,1.8207691980553964,1.8199839926988652,1.8191993204713595,1.81841518083413,1.817631573249164,1.8168484971791825,1.8160659520876363,1.8152839374387086,1.8145024526973128,1.8137214973290896,1.8129410708004086,1.8121611725783622,1.8113818021307708,1.8106029589261772,1.8098246424338444,1.8090468521237604,1.8082695874666292,1.8074928479338748,1.8067166329976392,1.8059409421307804,1.8051657748068681,1.8043911305001916,1.8036170086857466,1.8028434088392438,1.8020703304371022,1.8012977729564514,1.800525735875126,1.7997542186716693,1.798983220825328,1.7982127418160536,1.7974427811245015,1.7966733382320257,1.7959044126206853,1.7951360037732327,1.7943681111731238,1.7936007343045084,1.7928338726522313,1.7920675257018344,1.7913016929395515,1.7905363738523081,1.789771567927721,1.789007274654097,1.7882434935204328,1.7874802240164094,1.786717465632397,1.7859552178594489,1.7851934801893043,1.7844322521143843,1.7836715331277913,1.7829113227233082,1.782151620395398,1.7813924256392022,1.7806337379505381,1.7798755568258984,1.779117881762455,1.7783607122580471,1.7776040478111914,1.7768478879210732,1.7760922320875498,1.775337079811147,1.774582430593058,1.7738282839351436,1.7730746393399304,1.772321496310609,1.771568854351035,1.7708167129657246,1.7700650716598554,1.769313929939268,1.7685632873104586,1.767813143280583,1.7670634973574544,1.7663143490495397,1.7655656978659637,1.7648175433165019,1.7640698849115837,1.7633227221622891,1.7625760545803495,1.7618298816781452,1.7610842029687042,1.760339017965702,1.7595943261834586,1.7588501271369419,1.758106420341761,1.7573632053141688,1.7566204815710587,1.7558782486299684,1.75513650600907,1.7543952532271778,1.7536544898037414,1.752914215258849,1.752174429113221,1.751435130888215,1.7506963201058199,1.7499579962886584,1.749220158959982,1.748482807643675,1.7477459418642467,1.7470095611468397,1.746273665017219,1.7455382530017771,1.7448033246275312,1.7440688794221237,1.7433349169138161,1.7426014366314964,1.741868438104669,1.7411359208634614,1.7404038844386158,1.7396723283614968,1.7389412521640815,1.7382106553789647,1.7374805375393545,1.7367508981790742,1.7360217368325577,1.7352930530348532,1.734564846321616,1.7338371162291117,1.7331098622942174,1.7323830840544134,1.7316567810477899,1.73093095281304,1.7302055988894633,1.7294807188169614,1.7287563121360399,1.7280323783878038,1.7273089171139604,1.7265859278568163,1.725863410159276,1.7251413635648418,1.7244197876176124,1.7236986818622826,1.7229780458441417,1.722257879109072,1.7215381812035486,1.7208189516746386,1.7201001900700013,1.7193818959378824,1.7186640688271193,1.7179467082871351,1.717229813867942,1.7165133851201364,1.7157974215948995,1.7150819228439975,1.7143668884197794,1.7136523178751766,1.7129382107636995,1.712224566639442,1.711511385057075,1.7107986655718463,1.710086407739586,1.7093746111166943,1.7086632752601536,1.7079523997275141,1.7072419840769035,1.7065320278670217,1.7058225306571404,1.7051134920071005,1.7044049114773139,1.7036967886287622,1.7029891230229937,1.702281914222123,1.7015751617888348,1.7008688652863742,1.7001630242785528,1.6994576383297455,1.69875270700489,1.6980482298694857,1.69734420648959,1.6966406364318252,1.695937519263367,1.695234854551952,1.6945326418658735,1.6938308807739804,1.6931295708456768,1.6924287116509225,1.6917283027602286,1.6910283437446603,1.6903288341758325,1.689629773625914,1.68893116166762,1.6882329978742179,1.6875352818195197,1.6868380130778882,1.6861411912242297,1.6854448158339974,1.6847488864831888,1.6840534027483431,1.6833583642065466,1.682663770435423,1.6819696210131412,1.6812759155184052,1.680582653530464,1.6798898346290991,1.679197458394636,1.6785055244079314,1.6778140322503807,1.6771229815039128,1.6764323717509926,1.6757422025746167,1.6750524735583132,1.6743631842861457,1.673674334342704,1.6729859233131095,1.6722979507830138,1.671610416338595,1.6709233195665585,1.6702366600541376,1.6695504373890895,1.6688646511596976,1.6681793009547683,1.6674943863636302,1.6668099069761375,1.666125862382662,1.6654422521740975,1.6647590759418598,1.6640763332778792,1.6633940237746077,1.6627121470250132,1.6620307026225798,1.661349690161308,1.6606691092357115,1.6599889594408206,1.6593092403721768,1.6586299516258345,1.6579510927983585,1.6572726634868271,1.6565946632888249,1.6559170918024486,1.6552399486263014,1.6545632333594942,1.653886945601645,1.6532110849528785,1.6525356510138225,1.6518606433856093,1.6511860616698775,1.6505119054687638,1.6498381743849104,1.6491648680214586,1.6484919859820515,1.6478195278708299,1.6471474932924344,1.6464758818520027,1.645804693155171,1.6451339268080707,1.644463582417328,1.643793659590066,1.6431241579338993,1.642455077056937,1.6417864165677811,1.6411181760755251,1.640450355189751,1.639782953520533,1.6391159706784353,1.6384494062745092,1.637783259920293,1.6371175312278143,1.6364522198095859,1.635787325278604,1.635122847248352,1.6344587853327976,1.6337951391463894,1.6331319083040587,1.6324690924212215,1.6318066911137707,1.6311447039980813,1.6304831306910073,1.6298219708098816,1.6291612239725148,1.6285008897971944,1.627840967902684,1.6271814579082229,1.626522359433527,1.6258636720987836,1.625205395524655,1.6245475293322753,1.623890073143252,1.6232330265796615,1.622576389264052,1.6219201608194422,1.6212643408693175,1.620608929037633,1.6199539249488106,1.619299328227741,1.6186451384997775,1.6179913553907406,1.6173379785269153,1.6166850075350516,1.6160324420423595,1.615380281676514,1.6147285260656508,1.6140771748383664,1.6134262276237183,1.6127756840512228,1.6121255437508557,1.6114758063530497,1.6108264714886957,1.6101775387891415,1.6095290078861901,1.6088808784120994,1.608233149999584,1.6075858222818098,1.6069388948923966,1.6062923674654173,1.6056462396353957,1.605000511037308,1.6043551813065784,1.603710250079082,1.603065716991143,1.6024215816795335,1.6017778437814738,1.6011345029346291,1.6004915587771134,1.599849010947483,1.5992068590847421,1.5985651028283372,1.5979237418181582,1.5972827756945385,1.5966422040982522,1.5960020266705162,1.595362243052988,1.5947228528877628,1.5940838558173769,1.5934452514848068,1.5928070395334621,1.5921692196071953,1.5915317913502918,1.5908947544074739,1.5902581084238985,1.5896218530451587,1.5889859879172796,1.5883505126867217,1.587715427000375,1.5870807305055643,1.5864464228500434,1.5858125036819992,1.5851789726500458,1.5845458294032275,1.583913073591018,1.583280704863318,1.5826487228704555,1.582017127263186,1.5813859176926899,1.580755093810573,1.5801246552688661,1.579494601720024,1.5788649328169253,1.5782356482128699,1.5776067475615803,1.5769782305172018,1.5763500967342985,1.5757223458678553,1.5750949775732768,1.574467991506387,1.5738413873234258,1.573215164681054,1.572589323236346,1.571963862646795,1.5713387825703085,1.570714082665209,1.570089762590234,1.5694658220045345,1.5688422605676735,1.5682190779396286,1.5675962737807876,1.5669738477519504,1.5663517995143263,1.565730128729536,1.5651088350596087,1.5644879181669824,1.5638673777145033,1.563247213365426,1.5626274247834089,1.5620080116325201,1.5613889735772322,1.5607703102824226,1.5601520214133715,1.5595341066357657,1.5589165656156942,1.5582993980196473,1.5576826035145181,1.557066181767602,1.5564501324465936,1.555834455219587,1.5552191497550791,1.5546042157219622,1.5539896527895292,1.5533754606274681,1.5527616389058678,1.5521481872952094,1.551535105466374,1.5509223930906346,1.550310049839661,1.549698075385516,1.549086469400656,1.5484752315579318,1.5478643615305836,1.5472538589922473,1.5466437236169448,1.5460339550790938,1.5454245530534982,1.5448155172153537,1.5442068472402424,1.5435985428041366,1.542990603583396,1.5423830292547656,1.5417758194953783,1.5411689739827534,1.5405624923947943,1.5399563744097888,1.5393506197064104,1.5387452279637148,1.5381401988611418,1.5375355320785111,1.536931227296028,1.5363272841942766,1.5357237024542214,1.5351204817572077,1.5345176217849612,1.533915122219585,1.533312982743562,1.5327112030397518,1.5321097827913917,1.531508721682096,1.5309080193958549,1.530307675617033,1.5297076900303728,1.5291080623209883,1.5285087921743687,1.527909879276376,1.5273113233132467,1.5267131239715872,1.5261152809383767,1.5255177939009648,1.5249206625470735,1.524323886564792,1.5237274656425814,1.5231313994692703,1.522535687734057,1.521940330126505,1.521345326336548,1.520750676054485,1.5201563789709809,1.5195624347770664,1.5189688431641384,1.5183756038239564,1.5177827164486455,1.5171901807306936,1.5165979963629506,1.516006163038631,1.5154146804513084,1.5148235482949204,1.5142327662637636,1.5136423340524947,1.513052251356131,1.5124625178700495,1.5118731332899835,1.5112840973120258,1.5106954096326282,1.5101070699485961,1.5095190779570957,1.5089314333556445,1.5083441358421188,1.5077571851147495,1.50717058087212,1.506584322813169,1.5059984106371886,1.505412844043824,1.5048276227330701,1.5042427464052777,1.5036582147611455,1.503074027501725,1.5024901843284162,1.501906684942971,1.5013235290474887,1.5007407163444169,1.5001582465365526,1.4995761193270412,1.4989943344193737,1.4984128915173875,1.4978317903252671,1.4972510305475426,1.496670611889089,1.4960905340551254,1.4955107967512162,1.4949313996832678,1.4943523425575305,1.493773625080597,1.4931952469594028,1.4926172079012245,1.492039507613679,1.4914621458047244,1.4908851221826593,1.4903084364561219,1.4897320883340877,1.4891560775258732,1.4885804037411314,1.4880050666898539,1.4874300660823678,1.4868554016293385,1.486281073041768,1.4857070800309902,1.4851334223086785,1.4845600995868389,1.4839871115778118,1.4834144579942707,1.4828421385492232,1.4822701529560092,1.4816985009283004,1.4811271821801009,1.4805561964257448,1.4799855433799005,1.479415222757561,1.4788452342740532,1.4782755776450323,1.4777062525864828,1.4771372588147156,1.476568596046372,1.4760002639984195,1.4754322623881515,1.4748645909331892,1.47429724935148,1.4737302373612962,1.4731635546812347,1.472597201030217,1.47203117612749,1.4714654796926228,1.4709001114455076,1.4703350711063603,1.469770358395719,1.4692059730344416,1.468641914743709,1.468078183245023,1.4675147782602052,1.4669516995113967,1.4663889467210582,1.4658265196119704,1.4652644179072314,1.4647026413302573,1.4641411896047816,1.463580062454856,1.4630192596048484,1.4624587807794416,1.4618986257036357,1.4613387941027458,1.4607792857024011,1.4602201002285464,1.4596612374074383,1.4591026969656498,1.4585444786300634,1.4579865821278772,1.4574290071866003,1.4568717535340543,1.4563148208983687,1.455758209007988,1.4552019175916644,1.4546459463784611,1.4540902950977501,1.4535349634792125,1.4529799512528385,1.4524252581489256,1.4518708838980794,1.451316828231212,1.4507630908795441,1.4502096715746002,1.4496565700482127,1.4491037860325182,1.448551319259959,1.4479991694632814,1.4474473363755362,1.4468958197300787,1.4463446192605658,1.4457937347009582,1.4452431657855183,1.444692912248812,1.4441429738257048,1.4435933502513647,1.4430440412612602,1.4424950465911583,1.4419463659771286,1.441397999155538,1.4408499458630533,1.440302205836639,1.4397547788135585,1.4392076645313725,1.4386608627279402,1.4381143731414148,1.4375681955102482,1.4370223295731879,1.436476775069276,1.4359315317378512,1.435386599318545,1.434841977551286,1.4342976661762936,1.433753664934082,1.4332099735654595,1.4326665918115253,1.4321235194136717,1.4315807561135825,1.4310383016532326,1.430496155774889,1.429954318221108,1.4294127887347363,1.428871567058911,1.4283306529370574,1.4277900461128912,1.4272497463304143,1.4267097533339204,1.4261700668679864,1.4256306866774797,1.4250916125075537,1.4245528441036475,1.424014381211486,1.4234762235770826,1.4229383709467325,1.422400823067017,1.421863579684803,1.4213266405472393,1.4207900054017601,1.4202536739960818,1.419717646078204,1.4191819213964092,1.4186464996992612,1.4181113807356052,1.4175765642545681,1.4170420500055585,1.4165078377382632,1.4159739272026517,1.4154403181489714,1.4149070103277495,1.414374003489792,1.4138412973861836,1.4133088917682863,1.4127767863877405,1.412244980996464,1.4117134753466511,1.4111822691907732,1.4106513622815764,1.4101207543720842,1.409590445215595,1.4090604345656814,1.408530722176192,1.4080013078012479,1.407472191195245,1.406943372112853,1.4064148503090135,1.405886625538942,1.4053586975581251,1.4048310661223222,1.404303730987564,1.4037766919101515,1.4032499486466585,1.4027235009539272,1.4021973485890697,1.4016714913094694,1.401145928872778,1.4006206610369156,1.4000956875600719,1.3995710082007031,1.399046622717536,1.3985225308695612,1.3979987324160386,1.3974752271164947,1.3969520147307206,1.3964290950187752,1.3959064677409823,1.39538413265793,1.394862089530472,1.3943403381197257,1.3938188781870744,1.3932977094941619,1.3927768318028992,1.3922562448754565,1.3917359484742688,1.391215942362033,1.390696226301707,1.3901768000565107,1.389657663389926,1.3891388160656934,1.3886202578478164,1.3881019885005563,1.387584007788435,1.3870663154762337,1.3865489113289926,1.386031795112011,1.3855149665908444,1.3849984255313084,1.3844821716994755,1.3839662048616754,1.383450524784493,1.3829351312347722,1.3824200239796116,1.381905202786365,1.3813906674226424,1.3808764176563093,1.3803624532554852,1.3798487739885434,1.379335379624112,1.3788222699310728,1.37830944467856,1.3777969036359619,1.3772846465729183,1.3767726732593217,1.376260983465316,1.375749576961298,1.3752384535179139,1.3747276129060626,1.3742170548968913,1.3737067792617983,1.3731967857724332,1.3726870742006927,1.3721776443187237,1.3716684958989227,1.371159628713933,1.3706510425366467,1.3701427371402037,1.3696347122979915,1.3691269677836446,1.368619503371043,1.3681123188343154,1.367605413947835,1.3670987884862202,1.3665924422243365,1.366086374937293,1.3655805864004444,1.3650750763893884,1.364569844679969,1.3640648910482713,1.3635602152706263,1.3630558171236058,1.3625516963840256,1.3620478528289433,1.3615442862356593,1.3610409963817143,1.3605379830448916,1.3600352460032161,1.359532785034951,1.3590305999186019,1.3585286904329137,1.3580270563568722,1.3575256974696999,1.3570246135508615,1.3565238043800583,1.3560232697372316,1.3555230094025592,1.3550230231564568,1.3545233107795798,1.3540238720528175,1.3535247067572982,1.3530258146743859,1.3525271955856817,1.3520288492730206,1.351530775518475,1.3510329741043512,1.3505354448131912,1.350038187427771,1.3495412017311008,1.3490444875064262,1.3485480445372247,1.348051872607206,1.3475559715003167,1.3470603410007322,1.346564980892862,1.3460698909613473,1.3455750709910612,1.3450805207671084,1.3445862400748236,1.3440922286997727,1.3435984864277533,1.3431050130447915,1.3426118083371439,1.3421188720912962,1.3416262040939646,1.341133804132092,1.3406416719928527,1.3401498074636462,1.3396582103321029,1.3391668803860781,1.3386758174136564,1.3381850212031485,1.337694491543093,1.337204228222253,1.3367142310296192,1.3362244997544086,1.3357350341860617,1.3352458341142455,1.3347568993288523,1.3342682296199981,1.333779824778023,1.3332916845934928,1.3328038088571958,1.3323161973601432,1.3318288498935693,1.3313417662489329,1.3308549462179138,1.3303683895924137,1.3298820961645577,1.3293960657266908,1.3289102980713816,1.3284247929914161,1.327939550279805,1.3274545697297766,1.3269698511347812,1.3264853942884864,1.3260011989847822,1.3255172650177764,1.3250335921817955,1.3245501802713855,1.32406702908131,1.323584138406551,1.323101508042308,1.3226191377839984,1.3221370274272566,1.321655176767934,1.3211735856020985,1.3206922537260335,1.3202111809362407,1.3197303670294342,1.3192498118025464,1.318769515052724,1.3182894765773285,1.3178096961739354,1.3173301736403351,1.316850908774532,1.3163719013747448,1.3158931512394036,1.315414658167154,1.3149364219568538,1.3144584424075718,1.3139807193185913,1.3135032524894075,1.3130260417197253,1.3125490868094625,1.3120723875587488,1.3115959437679232,1.3111197552375367,1.3106438217683483,1.3101681431613308,1.3096927192176635,1.3092175497387364,1.30874263452615,1.3082679733817106,1.3077935661074365,1.307319412505552,1.3068455123784908,1.306371865528894,1.3058984717596114,1.3054253308736967,1.3049524426744152,1.3044798069652355,1.3040074235498345,1.3035352922320937,1.3030634128161023,1.3025917851061541,1.3021204089067475,1.3016492840225884,1.3011784102585857,1.3007077874198527,1.3002374153117078,1.2997672937396731,1.2992974225094747,1.298827801427042,1.2983584302985074,1.2978893089302066,1.2974204371286777,1.296951814700661,1.2964834414530997,1.2960153171931381,1.2955474417281232,1.2950798148656015,1.2946124364133227,1.2941453061792352,1.2936784239714898,1.293211789598437,1.2927454028686258,1.2922792635908078,1.2918133715739313,1.2913477266271463,1.2908823285597992,1.2904171771814381,1.2899522723018064,1.2894876137308484,1.2890232012787042,1.2885590347557134,1.2880951139724115,1.2876314387395313,1.287168008868004,1.2867048241689563,1.2862418844537105,1.2857791895337864,1.2853167392208988,1.2848545333269594,1.284392571664073,1.2839308540445409,1.2834693802808606,1.2830081501857213,1.2825471635720074,1.2820864202528,1.2816259200413693,1.2811656627511832,1.2807056481959014,1.280245876189377,1.2797863465456536,1.2793270590789707,1.278868013603759,1.2784092099346405,1.2779506478864289,1.2774923272741308,1.277034247912943,1.2765764096182537,1.2761188122056415,1.275661455490876,1.275204339289918,1.2747474634189158,1.2742908276942104,1.2738344319323303,1.2733782759499943,1.2729223595641095,1.2724666825917734,1.2720112448502703,1.2715560461570738,1.271101086329845,1.2706463651864333,1.2701918825448766,1.2697376382233976,1.2692836320404086,1.2688298638145077,1.2683763333644802,1.2679230405092963,1.2674699850681146,1.2670171668602772,1.2665645857053138,1.2661122414229387,1.2656601338330518,1.265208262755737,1.2647566280112637,1.2643052294200856,1.263854066802841,1.2634031399803514,1.2629524487736223,1.262501993003843,1.2620517724923868,1.261601787060808,1.2611520365308444,1.2607025207244185,1.2602532394636325,1.2598041925707715,1.2593553798683028,1.2589068011788758,1.2584584563253198,1.2580103451306452,1.2575624674180463,1.2571148230108953,1.2566674117327445,1.2562202334073282,1.2557732878585601,1.2553265749105333,1.2548800943875205,1.254433846113974,1.2539878299145248,1.2535420456139836,1.2530964930373383,1.2526511720097562,1.2522060823565822,1.2517612239033402,1.2513165964757298,1.2508721998996295,1.2504280340010963,1.2499840986063602,1.249540393541832,1.2490969186340972,1.248653673709918,1.2482106585962327,1.2477678731201551,1.2473253171089749,1.2468829903901575,1.2464408927913433,1.2459990241403474,1.2455573842651602,1.2451159729939458,1.2446747901550432,1.244233835576966,1.243793109088401,1.2433526105182078,1.242912339695421,1.2424722964492472,1.2420324806090677,1.2415928920044341,1.241153530465072,1.2407143958208795,1.2402754879019255,1.2398368065384517,1.2393983515608722,1.2389601227997713,1.2385221200859042,1.2380843432501991,1.2376467921237526,1.2372094665378335,1.2367723663238797,1.2363354913135005,1.2358988413384746,1.2354624162307497,1.235026215822444,1.2345902399458446,1.2341544884334075,1.233718961117757,1.2332836578316875,1.23284857840816,1.2324137226803056,1.2319790904814214,1.2315446816449744,1.2311104960045969,1.2306765333940906,1.230242793647422,1.2298092765987267,1.2293759820823067,1.2289429099326292,1.2285100599843282,1.2280774320722045,1.227645026031224,1.2272128416965185,1.2267808789033856,1.2263491374872872,1.2259176172838513,1.225486318128869,1.2250552398582994,1.2246243823082619,1.2241937453150422,1.2237633287150897,1.2233331323450187,1.2229031560416048,1.2224733996417885,1.2220438629826729,1.2216145459015244,1.2211854482357716,1.2207565698230065,1.2203279105009825,1.2198994701076165,1.219471248480985,1.219043245459328,1.218615460881047,1.2181878945847042,1.217760546409023,1.2173334161928877,1.2169065037753435,1.2164798089955964,1.2160533316930116,1.2156270717071151,1.2152010288775936,1.214775203044292,1.2143495940472153,1.2139242017265282,1.213499025922554,1.2130740664757749,1.212649323226832,1.2122247960165249,1.2118004846858115,1.2113763890758078,1.2109525090277873,1.2105288443831816,1.2101053949835796,1.2096821606707275,1.2092591412865292,1.208836336673045,1.2084137466724914,1.2079913711272423,1.2075692098798276,1.2071472627729334,1.2067255296494013,1.2063040103522293,1.2058827047245702,1.2054616126097326,1.2050407338511813,1.2046200682925334,1.2041996157775632,1.203779376150199,1.2033593492545223,1.2029395349347702,1.202519933035333,1.2021005434007557,1.2016813658757355,1.2012624003051247,1.2008436465339265,1.2004251044072998,1.2000067737705553,1.199588654469155,1.1991707463487153,1.198753049255004,1.198335563033941,1.1979182875315986,1.1975012225941997,1.1970843680681196,1.1966677237998855,1.1962512896361739,1.1958350654238143,1.1954190510097848,1.1950032462412172,1.1945876509653897,1.1941722650297346,1.193757088281831,1.1933421205694101,1.1929273617403517,1.1925128116426849,1.192098470124589,1.191684337034392,1.1912704122205697,1.190856695531748,1.1904431868167016,1.1900298859243519,1.1896167927037702,1.1892039070041744,1.1887912286749314,1.1883787575655547,1.1879664935257057,1.1875544364051935,1.1871425860539733,1.1867309423221482,1.186319505059967,1.1859082741178264,1.1854972493462677,1.1850864305959792,1.1846758177177965,1.1842654105626989,1.1838552089818122,1.183445212826408,1.1830354219479027,1.1826258361978577,1.18221645542798,1.1818072794901204,1.1813983082362751,1.1809895415185843,1.180580979189332,1.180172621100947,1.179764467106002,1.1793565170572118,1.178948770807437,1.1785412282096797,1.1781338891170856,1.1777267533829445,1.1773198208606874,1.1769130914038888,1.1765065648662654,1.1761002411016757,1.1756941199641209,1.175288201307745,1.174882484986831,1.1744769708558065,1.1740716587692388,1.1736665485818365,1.1732616401484497,1.17285693332407,1.1724524279638275,1.1720481239229952,1.171644021056985,1.17124011922135,1.1708364182717825,1.1704329180641149,1.1700296184543193,1.1696265192985074,1.1692236204529307,1.1688209217739784,1.1684184231181796,1.1680161243422031,1.1676140253028542,1.167212125857079,1.1668104258619605,1.16640892517472,1.1660076236527177,1.1656065211534499,1.165205617534552,1.1648049126537967,1.1644044063690926,1.1640040985384879,1.163603989020166,1.1632040776724468,1.1628043643537884,1.162404848922784,1.1620055312381639,1.161606411158794,1.1612074885436765,1.1608087632519493,1.1604102351428864,1.1600119040758963,1.1596137699105233,1.1592158325064477,1.1588180917234832,1.158420547421579,1.1580231994608194,1.1576260477014233,1.1572290920037431,1.1568323322282654,1.1564357682356117,1.156039399886537,1.155643227041929,1.1552472495628099,1.1548514673103358,1.154455880145794,1.1540604879306073,1.15366529052633,1.1532702877946486,1.152875479597383,1.1524808657964853,1.1520864462540399,1.1516922208322642,1.1512981893935048,1.1509043518002429,1.15051070791509,1.1501172576007888,1.1497240007202139,1.149330937136371,1.1489380667123965,1.1485453893115571,1.1481529047972518,1.1477606130330074,1.1473685138824843,1.1469766072094703,1.1465848928778843,1.1461933707517762,1.1458020406953229,1.1454109025728327,1.145019956248744,1.1446292015876225,1.1442386384541638,1.143848266713193,1.1434580862296635,1.143068096868657,1.1426782984953838,1.1422886909751833,1.1418992741735219,1.1415100479559948,1.141121012188324,1.1407321667363606,1.1403435114660823,1.1399550462435946,1.13956677093513,1.1391786854070478,1.1387907895258356,1.1384030831581056,1.1380155661705982,1.13762823843018,1.137241099803843,1.1368541501587073,1.1364673893620165,1.1360808172811427,1.1356944337835815,1.135308238736955,1.1349222320090109,1.1345364134676221,1.1341507829807864,1.1337653404166257,1.1333800856433893,1.132995018529448,1.1326101389432994,1.1322254467535642,1.131840941828988,1.1314566240384405,1.1310724932509144,1.1306885493355274,1.1303047921615206,1.1299212215982575,1.1295378375152259,1.1291546397820365,1.128771628268424,1.1283888028442437,1.1280061633794756,1.1276237097442225,1.1272414418087078,1.1268593594432788,1.1264774625184042,1.1260957509046756,1.1257142244728056,1.1253328830936282,1.1249517266381002,1.1245707549772992,1.1241899679824237,1.123809365524794,1.1234289474758514,1.123048713707157,1.1226686640903942,1.1222887984973657,1.1219091167999962,1.1215296188703283,1.1211503045805262,1.1207711738028747,1.1203922264097774,1.120013462273758,1.1196348812674595,1.1192564832636447,1.118878268135196,1.1185002357551137,1.1181223859965186,1.1177447187326497,1.117367233836864,1.1169899311826383,1.1166128106435678,1.1162358720933654,1.1158591154058615,1.1154825404550066,1.1151061471148669,1.114729935259628,1.1143539047635926,1.1139780555011793,1.1136023873469276,1.1132269001754906,1.1128515938616403,1.1124764682802648,1.11210152330637,1.1117267588150779,1.1113521746816268,1.1109777707813715,1.1106035469897833,1.1102295031824485,1.1098556392350718,1.109481955023471,1.1091084504235813,1.1087351253114524,1.1083619795632502,1.107989013055256,1.1076162256638653,1.107243617265589,1.1068711877370538,1.1064989369549998,1.1061268647962823,1.105754971137871,1.1053832558568508,1.1050117188304185,1.1046403599358878,1.1042691790506844,1.1038981760523487,1.1035273508185341,1.103156703227008,1.1027862331556515,1.1024159404824578,1.1020458250855343,1.1016758868431016,1.1013061256334922,1.1009365413351515,1.1005671338266387,1.1001979029866238,1.0998288486938905,1.0994599708273334,1.0990912692659607,1.0987227438888916,1.0983543945753569,1.0979862212047,1.0976182236563752,1.0972504018099485,1.0968827555450962,1.0965152847416078,1.0961479892793824,1.09578086903843,1.0954139238988716,1.0950471537409385,1.0946805584449741,1.094314137891431,1.0939478919608707,1.0935818205339674,1.0932159234915038,1.0928502007143728,1.092484652083577,1.092119277480229,1.0917540767855505,1.0913890498808718,1.0910241966476353,1.0906595169673887,1.0902950107217906,1.089930677792609,1.08956651806172,1.0892025314111087,1.088838717722867,1.088475076879197,1.0881116087624092,1.087748313254921,1.087385190239258,1.087022239598054,1.0866594612140512,1.0862968549700973,1.0859344207491497,1.0855721584342723,1.0852100679086365,1.0848481490555195,1.0844864017583071,1.0841248259004916,1.083763421365672,1.0834021880375526,1.0830411257999466,1.082680234536771,1.0823195141320516,1.0819589644699181,1.0815985854346075,1.0812383769104628,1.0808783387819307,1.080518470933567,1.0801587732500297,1.0797992456160843,1.0794398879166007,1.0790807000365537,1.078721681861024,1.0783628332751964,1.0780041541643612,1.0776456444139124,1.0772873039093498,1.0769291325362764,1.0765711301803997,1.0762132967275326,1.0758556320635908,1.0754981360745937,1.0751408086466656,1.074783649666034,1.0744266590190297,1.074069836592088,1.0737131822717458,1.073356695944645,1.073000377497529,1.072644226817246,1.072288243790745,1.07193242830508,1.0715767802474059,1.07122129950498,1.0708659859651635,1.070510839515419,1.07015586004331,1.0698010474365056,1.0694464015827736,1.0690919223699835,1.068737609686109,1.0683834634192233,1.0680294834575021,1.0676756696892216,1.0673220220027597,1.0669685402865958,1.0666152244293101,1.0662620743195828,1.0659090898461956,1.065556270898032,1.0652036173640733,1.0648511291334033,1.0644988060952059,1.0641466481387645,1.063794655153463,1.0634428270287855,1.0630911636543152,1.0627396649197358,1.0623883307148303,1.062037160929481,1.0616861554536703,1.0613353141774786,1.0609846369910867,1.0606341237847747,1.0602837744489202,1.0599335888740002,1.0595835669505909,1.059233708569367,1.0588840136211015,1.0585344819966653,1.0581851135870284,1.0578359082832591,1.0574868659765224,1.0571379865580828,1.0567892699193013,1.0564407159516376,1.0560923245466483,1.0557440955959883,1.0553960289914093,1.0550481246247598,1.054700382387987,1.054352802173133,1.0540053838723389,1.0536581273778414,1.0533110325819741,1.0529640993771676,1.0526173276559492,1.0522707173109416,1.0519242682348637,1.0515779803205325,1.0512318534608593,1.0508858875488511,1.050540082477612,1.0501944381403414,1.0498489544303344,1.0495036312409816,1.0491584684657673,1.0488134659982749,1.0484686237321792,1.0481239415612515,1.047779419379359,1.0474350570804636,1.0470908545586197,1.0467468117079792,1.0464029284227871,1.0460592045973833,1.0457156401262013,1.0453722349037702,1.0450289888247115,1.0446859017837424,1.0443429736756724,1.0440002043954066,1.0436575938379429,1.043315141898372,1.0429728484718788,1.0426307134537427,1.0422887367393345,1.0419469182241194,1.0416052578036548,1.0412637553735917,1.0409224108296742,1.0405812240677381,1.0402401949837135,1.0398993234736214,1.0395586094335758,1.0392180527597834,1.0388776533485429,1.0385374110962455,1.0381973258993733,1.0378573976545016,1.037517626258297,1.0371780116075175,1.0368385535990132,1.0364992521297258,1.0361601070966886,1.0358211183970247,1.03548228592795,1.0351436095867714,1.034805089270886,1.0344667248777826,1.0341285163050402,1.0337904634503288,1.0334525662114087,1.0331148244861306,1.0327772381724372,1.0324398071683591,1.032102531372019,1.0317654106816279,1.0314284449954882,1.0310916342119925,1.0307549782296215,1.030418476946947,1.0300821302626306,1.0297459380754213,1.0294099002841601,1.0290740167877759,1.0287382874852866,1.0284027122758004,1.028067291058513,1.02773202373271,1.0273969101977658,1.0270619503531426,1.026727144098392,1.0263924913331546,1.0260579919571575,1.0257236458702177,1.0253894529722407,1.025055413163219,1.024721526343233,1.0243877924124523,1.0240542112711328,1.0237207828196193,1.0233875069583438,1.0230543835878259,1.0227214126086723,1.022388593921577,1.022055927427322,1.0217234130267754,1.0213910506208934,1.021058840110718,1.0207267813973784,1.0203948743820919,1.0200631189661602,1.0197315150509731,1.0194000625380064,1.0190687613288225,1.018737611325069,1.0184066124284818,1.018075764540881,1.0177450675641726,1.01741452140035,1.0170841259514916,1.0167538811197607,1.0164237868074075,1.0160938429167674,1.0157640493502602,1.0154344060103921,1.0151049127997545,1.0147755696210232,1.0144463763769598,1.01411733297041,1.0137884393043057,1.0134596952816617,1.013131100805579,1.0128026557792429,1.0124743601059223,1.0121462136889714,1.0118182164318286,1.0114903682380159,1.0111626690111393,1.01083511865489,1.0105077170730425,1.0101804641694545,1.009853359848068,1.0095264040129086,1.0091995965680853,1.0088729374177916,1.0085464264663022,1.008220063617977,1.0078938487772582,1.0075677818486717,1.007241862736825,1.0069160913464106,1.006590467582202,1.0062649913490558,1.0059396625519126,1.0056144810957939,1.0052894468858038,1.0049645598271297,1.004639819825041,1.0043152267848896,1.0039907806121076,1.0036664812122111,1.0033423284907974,1.0030183223535463,1.0026944627062175,1.002370749454654,1.0020471825047808,1.0017237617626025,1.0014004871342062,1.0010773585257606,1.0007543758435151,1.0004315389937997,1.000108847883026,0.9997863024176872,0.9994639025043557,0.9991416480496861,0.9988195389604135,0.9984975751433531,0.9981757565054001,0.997854082953531,0.9975325543948023,0.9972111707363515,0.9968899318853948,0.9965688377492289,0.9962478882352316,0.9959270832508589,0.9956064227036475,0.9952859065012141,0.9949655345512544,0.9946453067615437,0.9943252230399368,0.9940052832943679,0.9936854874328511,0.9933658353634788,0.9930463269944224,0.9927269622339332,0.9924077409903402,0.9920886631720526,0.9917697286875579,0.9914509374454216,0.9911322893542884,0.9908137843228813,0.9904954222600015,0.9901772030745296,0.9898591266754229,0.9895411929717179,0.9892234018725291,0.9889057532870483,0.9885882471245458,0.9882708832943696,0.9879536617059458,0.9876365822687773,0.987319644892445,0.9870028494866074,0.9866861959610006,0.9863696842254374,0.9860533141898082,0.9857370857640809,0.9854209988582995,0.985105053382586,0.9847892492471382,0.9844735863622326,0.9841580646382198,0.9838426839855287,0.9835274443146649,0.9832123455362105,0.9828973875608228,0.9825825702992362,0.9822678936622622,0.9819533575607869,0.9816389619057729,0.9813247066082593,0.9810105915793614,0.9806966167302691,0.9803827819722487,0.9800690872166424,0.9797555323748685,0.9794421173584185,0.9791288420788619,0.9788157064478421,0.978502710377079,0.978189853778366,0.9778771365635721,0.9775645586446426,0.9772521199335956,0.9769398203425268,0.9766276597836034,0.9763156381690706,0.9760037554112452,0.9756920114225208,0.975380406115364,0.9750689394023169,0.9747576111959947,0.9744464214090873,0.9741353699543599,0.9738244567446498,0.9735136816928699,0.973203044712005,0.9728925457151166,0.9725821846153373,0.9722719613258741,0.9719618757600087,0.9716519278310953,0.9713421174525608,0.9710324445379072,0.9707229090007086,0.9704135107546125,0.9701042497133399,0.9697951257906832,0.9694861389005107,0.9691772889567606,0.9688685758734455,0.9685599995646509,0.968251559944534,0.9679432569273245,0.967635090427326,0.967327060358913,0.9670191666365334,0.9667114091747055,0.9664037878880223,0.9660963026911478,0.9657889534988173,0.9654817402258385,0.9651746627870919,0.9648677210975288,0.9645609150721719,0.9642542446261162,0.9639477096745285,0.9636413101326461,0.9633350459157788,0.9630289169393066,0.9627229231186826,0.9624170643694285,0.9621113406071388,0.9618057517474791,0.9615002977061856,0.9611949783990645,0.9608897937419938,0.9605847436509233,0.9602798280418703,0.9599750468309257,0.9596703999342497,0.9593658872680728,0.9590615087486958,0.95875726429249,0.9584531538158971,0.9581491772354287,0.9578453344676662,0.9575416254292616,0.9572380500369364,0.9569346082074819,0.956631299857759,0.956328124904699,0.956025083265302,0.9557221748566378,0.9554193995958463,0.9551167574001359,0.9548142481867852,0.9545118718731407,0.9542096283766197,0.9539075176147074,0.9536055395049582,0.9533036939649965,0.953001980912514,0.9527004002652721,0.9523989519411012,0.952097635857899,0.9517964519336338,0.9514954000863408,0.951194480234124,0.9508936922951559,0.9505930361876781,0.9502925118299987,0.949992119140495,0.9496918580376134,0.9493917284398659,0.9490917302658337,0.9487918634341664,0.9484921278635811,0.948192523472862,0.947893050180861,0.9475937079064987,0.9472944965687615,0.9469954160867053,0.946696466379451,0.9463976473661886,0.946098958966175,0.9458004010987335,0.9455019736832552,0.9452036766391976,0.944905509886086,0.9446074733435118,0.9443095669311338,0.9440117905686767,0.9437141441759326,0.9434166276727606,0.9431192409790842,0.9428219840148963,0.942524856700254,0.9422278589552813,0.9419309907001688,0.9416342518551736,0.941337642340617,0.9410411620768886,0.9407448109844428,0.9404485889838005,0.9401524959955473,0.9398565319403358,0.9395606967388839,0.9392649903119745,0.9389694125804569,0.9386739634652452,0.93837864288732,0.9380834507677257,0.9377883870275734,0.9374934515880381,0.9371986443703609,0.9369039652958482,0.9366094142858701,0.9363149912618638,0.9360206961453278,0.9357265288578289,0.9354324893209974,0.9351385774565282,0.9348447931861806,0.9345511364317785,0.9342576071152102,0.9339642051584294,0.9336709304834524,0.9333777830123613,0.9330847626673018,0.9327918693704831,0.9324991030441792,0.9322064636107283,0.9319139509925319,0.9316215651120558,0.9313293058918296,0.9310371732544459,0.9307451671225622,0.930453287418898,0.9301615340662381,0.9298699069874299,0.9295784061053839,0.9292870313430734,0.9289957826235374,0.9287046598698763,0.9284136630052522,0.9281227919528935,0.9278320466360893,0.927541426978193,0.9272509329026192,0.9269605643328473,0.926670321192418,0.9263802034049352,0.9260902108940656,0.9258003435835375,0.9255106013971434,0.9252209842587361,0.9249314920922332,0.9246421248216119,0.9243528823709138,0.9240637646642417,0.9237747716257603,0.9234859031796971,0.9231971592503411,0.9229085397620429,0.9226200446392153,0.9223316738063333,0.9220434271879323,0.9217553047086108,0.9214673062930285,0.9211794318659065,0.9208916813520265,0.9206040546762327,0.9203165517634301,0.9200291725385861,0.9197419169267271,0.9194547848529426,0.9191677762423821,0.9188808910202569,0.9185941291118385,0.9183074904424599,0.9180209749375148,0.9177345825224567,0.9174483131228013,0.9171621666641241,0.9168761430720617,0.9165902422723101,0.9163044641906268,0.9160188087528298,0.9157332758847964,0.9154478655124653,0.9151625775618343,0.9148774119589625,0.914592368629968,0.9143074475010297,0.9140226484983859,0.9137379715483356,0.9134534165772367,0.9131689835115071,0.912884672277625,0.9126004828021272,0.9123164150116114,0.9120324688327338,0.9117486441922107,0.9114649410168166,0.9111813592333876,0.9108978987688165,0.9106145595500573,0.9103313415041225,0.9100482445580828,0.9097652686390694,0.9094824136742719,0.9091996795909382,0.9089170663163759,0.9086345737779514,0.9083522019030891,0.9080699506192724,0.9077878198540434,0.907505809535004,0.9072239195898121,0.9069421499461857,0.9066605005319012,0.9063789712747918,0.9060975621027515,0.9058162729437303,0.9055351037257373,0.9052540543768396,0.9049731248251617,0.9046923149988877,0.9044116248262573,0.9041310542355696,0.9038506031551815,0.9035702715135073,0.9032900592390182,0.9030099662602444,0.9027299925057727,0.9024501379042479,0.9021704023843715,0.9018907858749036,0.9016112883046606,0.9013319096025164,0.901052649697402,0.9007735085183057,0.9004944859942735,0.9002155820544069,0.8999367966278661,0.8996581296438665,0.8993795810316821,0.8991011507206422,0.8988228386401341,0.8985446447196004,0.8982665688885421,0.897988611076514,0.8977107712131308,0.8974330492280617,0.8971554450510318,0.896877958611824,0.8966005898402761,0.8963233386662842,0.8960462050197976,0.8957691888308239,0.8954922900294264,0.8952155085457235,0.8949388443098909,0.8946622972521591,0.8943858673028146,0.8941095543922,0.8938333584507132,0.8935572794088082,0.8932813171969944,0.8930054717458366,0.8927297429859558,0.8924541308480266,0.8921786352627815,0.8919032561610062,0.891627993473543,0.8913528471312885,0.8910778170651953,0.8908029032062698,0.8905281054855751,0.8902534238342285,0.8899788581834013,0.8897044084643216,0.8894300746082708,0.8891558565465852,0.8888817542106567,0.888607767531931,0.888333896441909,0.8880601408721455,0.8877865007542499,0.8875129760198869,0.8872395666007746,0.8869662724286858,0.8866930934354472,0.8864200295529401,0.8861470807131006,0.8858742468479175,0.8856015278894342,0.8853289237697484,0.8850564344210117,0.8847840597754294,0.8845117997652611,0.8842396543228188,0.8839676233804699,0.8836957068706347,0.8834239047257869,0.8831522168784544,0.8828806432612178,0.882609183806712,0.8823378384476244,0.8820666071166966,0.8817954897467232,0.881524486270552,0.8812535966210834,0.8809828207312725,0.8807121585341255,0.8804416099627032,0.8801711749501185,0.8799008534295377,0.8796306453341793,0.8793605505973159,0.8790905691522715,0.8788207009324235,0.8785509458712013,0.8782813039020885,0.878011774958619,0.8777423589743815,0.8774730558830146,0.8772038656182126,0.8769347881137185,0.8766658233033302,0.8763969711208968,0.8761282315003202,0.8758596043755531,0.8755910896806017,0.8753226873495242,0.8750543973164292,0.874786219515479,0.8745181538808873,0.8742502003469185,0.8739823588478908,0.8737146293181722,0.8734470116921832,0.8731795059043966,0.8729121118893355,0.8726448295815753,0.8723776589157415,0.8721105998265142,0.871843652248621,0.8715768161168435,0.8713100913660131,0.8710434779310138,0.8707769757467789,0.8705105847482946,0.8702443048705971,0.869978136048774,0.8697120782179635,0.8694461313133551,0.8691802952701889,0.8689145700237558,0.8686489555093979,0.8683834516625075,0.8681180584185272,0.8678527757129513,0.8675876034813239,0.8673225416592398,0.8670575901823439,0.866792748986332,0.8665280180069499,0.866263397179994,0.8659988864413106,0.8657344857267965,0.865470194972399,0.8652060141141137,0.864941943087989,0.8646779818301211,0.8644141302766574,0.8641503883637942,0.8638867560277786,0.8636232332049071,0.863359819831526,0.8630965158440306,0.8628333211788672,0.8625702357725312,0.8623072595615672,0.8620443924825687,0.8617816344721801],"x":[1.0e-5,0.00016993402638944424,0.00032986805277888844,0.0004898020791683327,0.0006497361055577769,0.0008096701319472211,0.0009696041583366653,0.0011295381847261097,0.0012894722111155537,0.001449406237504998,0.0016093402638944422,0.0017692742902838865,0.0019292083166733308,0.002089142343062775,0.0022490763694522193,0.0024090103958416633,0.0025689444222311074,0.002728878448620552,0.002888812475009996,0.0030487465013994404,0.0032086805277888844,0.0033686145541783285,0.003528548580567773,0.003688482606957217,0.0038484166333466615,0.004008350659736106,0.00416828468612555,0.004328218712514994,0.004488152738904438,0.004648086765293882,0.004808020791683327,0.004967954818072771,0.005127888844462215,0.005287822870851659,0.005447756897241103,0.005607690923630548,0.005767624950019992,0.005927558976409436,0.00608749300279888,0.006247427029188324,0.006407361055577769,0.006567295081967213,0.006727229108356657,0.006887163134746101,0.0070470971611355454,0.00720703118752499,0.007366965213914434,0.0075268992403038784,0.0076868332666933225,0.007846767293082767,0.00800670131947221,0.008166635345861656,0.0083265693722511,0.008486503398640544,0.008646437425029989,0.008806371451419432,0.008966305477808877,0.009126239504198322,0.009286173530587765,0.00944610755697721,0.009606041583366653,0.009765975609756098,0.009925909636145543,0.010085843662534986,0.01024577768892443,0.010405711715313874,0.010565645741703319,0.010725579768092764,0.010885513794482207,0.011045447820871652,0.011205381847261095,0.01136531587365054,0.011525249900039985,0.011685183926429428,0.011845117952818873,0.012005051979208316,0.012164986005597761,0.012324920031987206,0.012484854058376649,0.012644788084766094,0.012804722111155537,0.012964656137544982,0.013124590163934427,0.01328452419032387,0.013444458216713315,0.013604392243102758,0.013764326269492203,0.013924260295881648,0.014084194322271091,0.014244128348660536,0.01440406237504998,0.014563996401439424,0.01472393042782887,0.014883864454218312,0.015043798480607757,0.0152037325069972,0.015363666533386645,0.01552360055977609,0.015683534586165535,0.01584346861255498,0.01600340263894442,0.016163336665333865,0.01632327069172331,0.016483204718112755,0.016643138744502198,0.016803072770891644,0.016963006797281088,0.01712294082367053,0.017282874850059977,0.01744280887644942,0.017602742902838864,0.017762676929228307,0.017922610955617754,0.018082544982007197,0.01824247900839664,0.018402413034786087,0.01856234706117553,0.018722281087564973,0.01888221511395442,0.019042149140343863,0.019202083166733306,0.019362017193122753,0.019521951219512196,0.01968188524590164,0.019841819272291082,0.02000175329868053,0.020161687325069972,0.020321621351459415,0.020481555377848862,0.020641489404238305,0.020801423430627748,0.020961357457017195,0.021121291483406638,0.02128122550979608,0.021441159536185524,0.02160109356257497,0.021761027588964414,0.021920961615353857,0.022080895641743304,0.022240829668132747,0.02240076369452219,0.022560697720911637,0.02272063174730108,0.022880565773690523,0.023040499800079967,0.023200433826469413,0.023360367852858856,0.0235203018792483,0.023680235905637746,0.02384016993202719,0.024000103958416633,0.02416003798480608,0.024319972011195522,0.024479906037584966,0.02463984006397441,0.024799774090363855,0.0249597081167533,0.025119642143142742,0.02527957616953219,0.02543951019592163,0.025599444222311075,0.02575937824870052,0.025919312275089965,0.026079246301479408,0.02623918032786885,0.026399114354258298,0.02655904838064774,0.026718982407037184,0.02687891643342663,0.027038850459816074,0.027198784486205517,0.027358718512594964,0.027518652538984407,0.02767858656537385,0.027838520591763293,0.02799845461815274,0.028158388644542183,0.028318322670931626,0.028478256697321073,0.028638190723710516,0.02879812475009996,0.028958058776489406,0.02911799280287885,0.029277926829268292,0.029437860855657735,0.029597794882047182,0.029757728908436625,0.02991766293482607,0.030077596961215515,0.030237530987604958,0.0303974650139944,0.030557399040383848,0.03071733306677329,0.030877267093162734,0.031037201119552178,0.031197135145941624,0.03135706917233107,0.031517003198720514,0.031676937225109954,0.0318368712514994,0.03199680527788885,0.03215673930427829,0.03231667333066773,0.03247660735705718,0.03263654138344662,0.032796475409836066,0.03295640943622551,0.03311634346261495,0.0332762774890044,0.03343621151539384,0.033596145541783286,0.03375607956817273,0.03391601359456217,0.03407594762095162,0.034235881647341065,0.034395815673730505,0.03455574970011995,0.0347156837265094,0.03487561775289884,0.035035551779288285,0.03519548580567773,0.03535541983206717,0.03551535385845662,0.035675287884846064,0.035835221911235504,0.03599515593762495,0.0361550899640144,0.03631502399040384,0.036474958016793284,0.036634892043182724,0.03679482606957217,0.03695476009596162,0.037114694122351057,0.0372746281487405,0.03743456217512995,0.03759449620151939,0.037754430227908836,0.03791436425429828,0.03807429828068772,0.03823423230707717,0.038394166333466616,0.038554100359856056,0.0387140343862455,0.03887396841263495,0.03903390243902439,0.039193836465413835,0.03935377049180328,0.03951370451819272,0.03967363854458217,0.03983357257097161,0.039993506597361055,0.0401534406237505,0.04031337465013994,0.04047330867652939,0.040633242702918834,0.040793176729308274,0.04095311075569772,0.04111304478208717,0.04127297880847661,0.041432912834866054,0.0415928468612555,0.04175278088764494,0.04191271491403439,0.04207264894042383,0.04223258296681327,0.04239251699320272,0.042552451019592166,0.042712385045981606,0.04287231907237105,0.0430322530987605,0.04319218712514994,0.043352121151539386,0.043512055177928825,0.04367198920431827,0.04383192323070772,0.04399185725709716,0.044151791283486605,0.04431172530987605,0.04447165933626549,0.04463159336265494,0.044791527389044385,0.044951461415433824,0.04511139544182327,0.04527132946821272,0.04543126349460216,0.045591197520991604,0.04575113154738105,0.04591106557377049,0.04607099960015994,0.046230933626549384,0.04639086765293882,0.04655080167932827,0.04671073570571771,0.046870669732107156,0.0470306037584966,0.04719053778488604,0.04735047181127549,0.047510405837664936,0.047670339864054376,0.04783027389044382,0.04799020791683327,0.04815014194322271,0.048310075969612155,0.0484700099960016,0.04862994402239104,0.04878987804878049,0.048949812075169935,0.049109746101559375,0.04926968012794882,0.04942961415433827,0.04958954818072771,0.049749482207117154,0.049909416233506594,0.05006935025989604,0.05022928428628549,0.05038921831267493,0.050549152339064374,0.05070908636545382,0.05086902039184326,0.05102895441823271,0.05118888844462215,0.05134882247101159,0.05150875649740104,0.051668690523790486,0.051828624550179926,0.05198855857656937,0.05214849260295882,0.05230842662934826,0.052468360655737706,0.05262829468212715,0.05278822870851659,0.05294816273490604,0.05310809676129548,0.053268030787684925,0.05342796481407437,0.05358789884046381,0.05374783286685326,0.053907766893242705,0.054067700919632145,0.05422763494602159,0.05438756897241104,0.05454750299880048,0.054707437025189924,0.05486737105157937,0.05502730507796881,0.05518723910435826,0.055347173130747704,0.055507107157137144,0.05566704118352659,0.05582697520991604,0.05598690923630548,0.05614684326269492,0.05630677728908436,0.05646671131547381,0.056626645341863256,0.056786579368252696,0.05694651339464214,0.05710644742103159,0.05726638144742103,0.057426315473810476,0.05758624950019992,0.05774618352658936,0.05790611755297881,0.058066051579368255,0.058225985605757695,0.05838591963214714,0.05854585365853659,0.05870578768492603,0.058865721711315475,0.05902565573770492,0.05918558976409436,0.05934552379048381,0.05950545781687325,0.059665391843262694,0.05982532586965214,0.05998525989604158,0.06014519392243103,0.060305127948820474,0.06046506197520991,0.06062499600159936,0.06078493002798881,0.060944864054378246,0.06110479808076769,0.06126473210715714,0.06142466613354658,0.061584600159936026,0.06174453418632547,0.06190446821271491,0.06206440223910436,0.062224336265493806,0.062384270291883245,0.06254420431827269,0.06270413834466214,0.06286407237105159,0.06302400639744102,0.06318394042383046,0.06334387445021991,0.06350380847660936,0.0636637425029988,0.06382367652938825,0.06398361055577768,0.06414354458216713,0.06430347860855658,0.06446341263494602,0.06462334666133547,0.0647832806877249,0.06494321471411435,0.0651031487405038,0.06526308276689324,0.06542301679328269,0.06558295081967214,0.06574288484606157,0.06590281887245102,0.06606275289884046,0.06622268692522991,0.06638262095161936,0.0665425549780088,0.06670248900439824,0.06686242303078768,0.06702235705717713,0.06718229108356658,0.06734222510995602,0.06750215913634547,0.0676620931627349,0.06782202718912435,0.0679819612155138,0.06814189524190324,0.06830182926829269,0.06846176329468212,0.06862169732107157,0.06878163134746101,0.06894156537385046,0.06910149940023991,0.06926143342662935,0.06942136745301879,0.06958130147940823,0.06974123550579768,0.06990116953218713,0.07006110355857657,0.07022103758496602,0.07038097161135545,0.0705409056377449,0.07070083966413435,0.07086077369052379,0.07102070771691324,0.07118064174330267,0.07134057576969212,0.07150050979608157,0.07166044382247101,0.07182037784886046,0.0719803118752499,0.07214024590163934,0.07230017992802878,0.07246011395441823,0.07262004798080768,0.07277998200719712,0.07293991603358657,0.073099850059976,0.07325978408636545,0.0734197181127549,0.07357965213914434,0.07373958616553379,0.07389952019192324,0.07405945421831267,0.07421938824470212,0.07437932227109156,0.07453925629748101,0.07469919032387046,0.07485912435025989,0.07501905837664934,0.07517899240303878,0.07533892642942823,0.07549886045581768,0.07565879448220712,0.07581872850859656,0.075978662534986,0.07613859656137545,0.0762985305877649,0.07645846461415434,0.07661839864054379,0.07677833266693322,0.07693826669332267,0.07709820071971211,0.07725813474610156,0.07741806877249101,0.07757800279888044,0.07773793682526989,0.07789787085165933,0.07805780487804878,0.07821773890443823,0.07837767293082767,0.07853760695721711,0.07869754098360655,0.078857475009996,0.07901740903638545,0.0791773430627749,0.07933727708916434,0.07949721111555377,0.07965714514194322,0.07981707916833267,0.07997701319472211,0.08013694722111156,0.080296881247501,0.08045681527389044,0.08061674930027989,0.08077668332666933,0.08093661735305878,0.08109655137944823,0.08125648540583766,0.0814164194322271,0.08157635345861655,0.081736287485006,0.08189622151139545,0.08205615553778489,0.08221608956417432,0.08237602359056377,0.08253595761695322,0.08269589164334266,0.08285582566973211,0.08301575969612156,0.08317569372251099,0.08333562774890044,0.08349556177528988,0.08365549580167933,0.08381542982806878,0.08397536385445821,0.08413529788084766,0.0842952319072371,0.08445516593362655,0.084615099960016,0.08477503398640544,0.08493496801279488,0.08509490203918432,0.08525483606557377,0.08541477009196322,0.08557470411835266,0.08573463814474211,0.08589457217113154,0.08605450619752099,0.08621444022391044,0.08637437425029988,0.08653430827668933,0.08669424230307878,0.08685417632946821,0.08701411035585765,0.0871740443822471,0.08733397840863655,0.087493912435026,0.08765384646141543,0.08781378048780487,0.08797371451419432,0.08813364854058377,0.08829358256697321,0.08845351659336266,0.0886134506197521,0.08877338464614154,0.08893331867253099,0.08909325269892043,0.08925318672530988,0.08941312075169933,0.08957305477808876,0.0897329888044782,0.08989292283086765,0.0900528568572571,0.09021279088364655,0.09037272491003599,0.09053265893642543,0.09069259296281487,0.09085252698920432,0.09101246101559377,0.09117239504198321,0.09133232906837264,0.09149226309476209,0.09165219712115154,0.09181213114754098,0.09197206517393043,0.09213199920031988,0.09229193322670931,0.09245186725309876,0.0926118012794882,0.09277173530587765,0.0929316693322671,0.09309160335865654,0.09325153738504598,0.09341147141143542,0.09357140543782487,0.09373133946421432,0.09389127349060376,0.0940512075169932,0.09421114154338264,0.09437107556977209,0.09453100959616154,0.09469094362255098,0.09485087764894043,0.09501081167532986,0.09517074570171931,0.09533067972810876,0.0954906137544982,0.09565054778088765,0.0958104818072771,0.09597041583366653,0.09613034986005597,0.09629028388644542,0.09645021791283487,0.09661015193922431,0.09677008596561376,0.0969300199920032,0.09708995401839264,0.09724988804478209,0.09740982207117153,0.09756975609756098,0.09772969012395041,0.09788962415033986,0.0980495581767293,0.09820949220311875,0.0983694262295082,0.09852936025589765,0.09868929428228708,0.09884922830867653,0.09900916233506597,0.09916909636145542,0.09932903038784487,0.09948896441423431,0.09964889844062375,0.09980883246701319,0.09996876649340264,0.10012870051979209,0.10028863454618153,0.10044856857257096,0.10060850259896041,0.10076843662534986,0.1009283706517393,0.10108830467812875,0.1012482387045182,0.10140817273090763,0.10156810675729708,0.10172804078368652,0.10188797481007597,0.10204790883646542,0.10220784286285486,0.1023677768892443,0.10252771091563374,0.10268764494202319,0.10284757896841264,0.10300751299480208,0.10316744702119153,0.10332738104758096,0.10348731507397041,0.10364724910035986,0.1038071831267493,0.10396711715313875,0.10412705117952818,0.10428698520591763,0.10444691923230708,0.10460685325869652,0.10476678728508597,0.10492672131147542,0.10508665533786485,0.1052465893642543,0.10540652339064374,0.10556645741703319,0.10572639144342263,0.10588632546981208,0.10604625949620151,0.10620619352259096,0.10636612754898041,0.10652606157536985,0.1066859956017593,0.10684592962814873,0.10700586365453818,0.10716579768092763,0.10732573170731707,0.10748566573370652,0.10764559976009597,0.1078055337864854,0.10796546781287485,0.10812540183926429,0.10828533586565374,0.10844526989204319,0.10860520391843263,0.10876513794482207,0.10892507197121151,0.10908500599760096,0.1092449400239904,0.10940487405037985,0.1095648080767693,0.10972474210315873,0.10988467612954818,0.11004461015593762,0.11020454418232707,0.11036447820871652,0.11052441223510595,0.1106843462614954,0.11084428028788484,0.11100421431427429,0.11116414834066374,0.11132408236705318,0.11148401639344262,0.11164395041983206,0.11180388444622151,0.11196381847261096,0.1121237524990004,0.11228368652538985,0.11244362055177928,0.11260355457816873,0.11276348860455818,0.11292342263094762,0.11308335665733707,0.11324329068372652,0.11340322471011595,0.1135631587365054,0.11372309276289484,0.11388302678928429,0.11404296081567374,0.11420289484206317,0.11436282886845262,0.11452276289484206,0.11468269692123151,0.11484263094762096,0.1150025649740104,0.11516249900039983,0.11532243302678928,0.11548236705317873,0.11564230107956817,0.11580223510595762,0.11596216913234707,0.1161221031587365,0.11628203718512595,0.1164419712115154,0.11660190523790484,0.11676183926429429,0.11692177329068372,0.11708170731707317,0.11724164134346261,0.11740157536985206,0.1175615093962415,0.11772144342263095,0.11788137744902039,0.11804131147540983,0.11820124550179928,0.11836117952818873,0.11852111355457817,0.11868104758096762,0.11884098160735705,0.1190009156337465,0.11916084966013595,0.11932078368652539,0.11948071771291484,0.11964065173930429,0.11980058576569372,0.11996051979208316,0.12012045381847261,0.12028038784486206,0.1204403218712515,0.12060025589764094,0.12076018992403038,0.12092012395041983,0.12108005797680928,0.12123999200319872,0.12139992602958817,0.1215598600559776,0.12171979408236705,0.1218797281087565,0.12203966213514594,0.12219959616153539,0.12235953018792484,0.12251946421431427,0.12267939824070372,0.12283933226709316,0.12299926629348261,0.12315920031987206,0.12331913434626149,0.12347906837265094,0.12363900239904038,0.12379893642542983,0.12395887045181928,0.12411880447820872,0.12427873850459815,0.1244386725309876,0.12459860655737705,0.1247585405837665,0.12491847461015594,0.12507840863654537,0.12523834266293482,0.12539827668932427,0.12555821071571371,0.12571814474210316,0.1258780787684926,0.12603801279488205,0.1261979468212715,0.12635788084766095,0.12651781487405037,0.1266777489004398,0.12683768292682926,0.1269976169532187,0.12715755097960815,0.1273174850059976,0.12747741903238705,0.1276373530587765,0.12779728708516594,0.12795722111155539,0.12811715513794483,0.12827708916433428,0.1284370231907237,0.12859695721711314,0.1287568912435026,0.12891682526989204,0.12907675929628148,0.12923669332267093,0.12939662734906038,0.12955656137544982,0.12971649540183927,0.12987642942822872,0.13003636345461816,0.13019629748100758,0.13035623150739703,0.13051616553378648,0.13067609956017592,0.13083603358656537,0.13099596761295482,0.13115590163934426,0.1313158356657337,0.13147576969212316,0.1316357037185126,0.13179563774490205,0.1319555717712915,0.13211550579768092,0.13227543982407036,0.1324353738504598,0.13259530787684926,0.1327552419032387,0.13291517592962815,0.1330751099560176,0.13323504398240704,0.1333949780087965,0.13355491203518594,0.13371484606157538,0.1338747800879648,0.13403471411435425,0.1341946481407437,0.13435458216713314,0.1345145161935226,0.13467445021991203,0.13483438424630148,0.13499431827269093,0.13515425229908037,0.13531418632546982,0.13547412035185927,0.13563405437824871,0.13579398840463813,0.13595392243102758,0.13611385645741703,0.13627379048380647,0.13643372451019592,0.13659365853658537,0.1367535925629748,0.13691352658936426,0.1370734606157537,0.13723339464214315,0.1373933286685326,0.13755326269492202,0.13771319672131146,0.1378731307477009,0.13803306477409036,0.1381929988004798,0.13835293282686925,0.1385128668532587,0.13867280087964814,0.1388327349060376,0.13899266893242704,0.13915260295881648,0.13931253698520593,0.13947247101159535,0.1396324050379848,0.13979233906437424,0.1399522730907637,0.14011220711715314,0.14027214114354258,0.14043207516993203,0.14059200919632148,0.14075194322271092,0.14091187724910037,0.14107181127548982,0.14123174530187924,0.14139167932826868,0.14155161335465813,0.14171154738104758,0.14187148140743702,0.14203141543382647,0.14219134946021592,0.14235128348660536,0.1425112175129948,0.14267115153938426,0.1428310855657737,0.14299101959216312,0.14315095361855257,0.14331088764494201,0.14347082167133146,0.1436307556977209,0.14379068972411035,0.1439506237504998,0.14411055777688925,0.1442704918032787,0.14443042582966814,0.1445903598560576,0.14475029388244703,0.14491022790883645,0.1450701619352259,0.14523009596161535,0.1453900299880048,0.14554996401439424,0.1457098980407837,0.14586983206717313,0.14602976609356258,0.14618970011995203,0.14634963414634147,0.14650956817273092,0.14666950219912034,0.14682943622550979,0.14698937025189923,0.14714930427828868,0.14730923830467813,0.14746917233106757,0.14762910635745702,0.14778904038384647,0.1479489744102359,0.14810890843662536,0.1482688424630148,0.14842877648940425,0.14858871051579367,0.14874864454218312,0.14890857856857256,0.149068512594962,0.14922844662135146,0.1493883806477409,0.14954831467413035,0.1497082487005198,0.14986818272690924,0.1500281167532987,0.15018805077968814,0.15034798480607756,0.150507918832467,0.15066785285885645,0.1508277868852459,0.15098772091163534,0.1511476549380248,0.15130758896441424,0.15146752299080368,0.15162745701719313,0.15178739104358258,0.15194732506997202,0.15210725909636147,0.1522671931227509,0.15242712714914033,0.15258706117552978,0.15274699520191923,0.15290692922830867,0.15306686325469812,0.15322679728108757,0.15338673130747701,0.15354666533386646,0.1537065993602559,0.15386653338664535,0.15402646741303477,0.15418640143942422,0.15434633546581367,0.1545062694922031,0.15466620351859256,0.154826137544982,0.15498607157137145,0.1551460055977609,0.15530593962415035,0.1554658736505398,0.15562580767692924,0.15578574170331866,0.1559456757297081,0.15610560975609755,0.156265543782487,0.15642547780887645,0.1565854118352659,0.15674534586165534,0.15690527988804479,0.15706521391443423,0.15722514794082368,0.15738508196721313,0.15754501599360257,0.157704950019992,0.15786488404638144,0.15802481807277088,0.15818475209916033,0.15834468612554978,0.15850462015193922,0.15866455417832867,0.15882448820471812,0.15898442223110756,0.159144356257497,0.15930429028388646,0.15946422431027588,0.15962415833666532,0.15978409236305477,0.15994402638944422,0.16010396041583366,0.1602638944422231,0.16042382846861256,0.160583762495002,0.16074369652139145,0.1609036305477809,0.16106356457417034,0.1612234986005598,0.1613834326269492,0.16154336665333865,0.1617033006797281,0.16186323470611755,0.162023168732507,0.16218310275889644,0.1623430367852859,0.16250297081167533,0.16266290483806478,0.16282283886445423,0.16298277289084367,0.1631427069172331,0.16330264094362254,0.163462574970012,0.16362250899640143,0.16378244302279088,0.16394237704918033,0.16410231107556977,0.16426224510195922,0.16442217912834867,0.1645821131547381,0.16474204718112756,0.164901981207517,0.16506191523390643,0.16522184926029587,0.16538178328668532,0.16554171731307477,0.1657016513394642,0.16586158536585366,0.1660215193922431,0.16618145341863255,0.166341387445022,0.16650132147141145,0.1666612554978009,0.1668211895241903,0.16698112355057976,0.1671410575769692,0.16730099160335865,0.1674609256297481,0.16762085965613754,0.167780793682527,0.16794072770891644,0.16810066173530588,0.16826059576169533,0.16842052978808478,0.16858046381447422,0.16874039784086364,0.1689003318672531,0.16906026589364254,0.16922019992003198,0.16938013394642143,0.16954006797281088,0.16970000199920032,0.16985993602558977,0.17001987005197922,0.17017980407836866,0.1703397381047581,0.17049967213114753,0.17065960615753697,0.17081954018392642,0.17097947421031587,0.17113940823670531,0.17129934226309476,0.1714592762894842,0.17161921031587365,0.1717791443422631,0.17193907836865255,0.172099012395042,0.1722589464214314,0.17241888044782086,0.1725788144742103,0.17273874850059975,0.1728986825269892,0.17305861655337865,0.1732185505797681,0.17337848460615754,0.173538418632547,0.17369835265893643,0.17385828668532588,0.17401822071171533,0.17417815473810475,0.1743380887644942,0.17449802279088364,0.17465795681727309,0.17481789084366253,0.17497782487005198,0.17513775889644143,0.17529769292283087,0.17545762694922032,0.17561756097560977,0.1757774950019992,0.17593742902838863,0.17609736305477808,0.17625729708116752,0.17641723110755697,0.17657716513394642,0.17673709916033586,0.1768970331867253,0.17705696721311476,0.1772169012395042,0.17737683526589365,0.1775367692922831,0.17769670331867254,0.17785663734506196,0.1780165713714514,0.17817650539784086,0.1783364394242303,0.17849637345061975,0.1786563074770092,0.17881624150339864,0.1789761755297881,0.17913610955617754,0.17929604358256698,0.17945597760895643,0.17961591163534585,0.1797758456617353,0.17993577968812474,0.1800957137145142,0.18025564774090364,0.18041558176729308,0.18057551579368253,0.18073544982007198,0.18089538384646142,0.18105531787285087,0.18121525189924031,0.18137518592562976,0.18153511995201918,0.18169505397840863,0.18185498800479807,0.18201492203118752,0.18217485605757697,0.1823347900839664,0.18249472411035586,0.1826546581367453,0.18281459216313475,0.1829745261895242,0.18313446021591365,0.18329439424230307,0.1834543282686925,0.18361426229508196,0.1837741963214714,0.18393413034786085,0.1840940643742503,0.18425399840063975,0.1844139324270292,0.18457386645341864,0.18473380047980809,0.18489373450619753,0.18505366853258698,0.1852136025589764,0.18537353658536584,0.1855334706117553,0.18569340463814474,0.18585333866453418,0.18601327269092363,0.18617320671731308,0.18633314074370252,0.18649307477009197,0.18665300879648142,0.18681294282287086,0.18697287684926028,0.18713281087564973,0.18729274490203918,0.18745267892842862,0.18761261295481807,0.18777254698120752,0.18793248100759696,0.1880924150339864,0.18825234906037586,0.1884122830867653,0.18857221711315475,0.18873215113954417,0.18889208516593362,0.18905201919232306,0.1892119532187125,0.18937188724510196,0.1895318212714914,0.18969175529788085,0.1898516893242703,0.19001162335065974,0.1901715573770492,0.19033149140343864,0.19049142542982808,0.1906513594562175,0.19081129348260695,0.1909712275089964,0.19113116153538584,0.1912910955617753,0.19145102958816473,0.19161096361455418,0.19177089764094363,0.19193083166733307,0.19209076569372252,0.19225069972011197,0.19241063374650139,0.19257056777289083,0.19273050179928028,0.19289043582566973,0.19305036985205917,0.19321030387844862,0.19337023790483807,0.1935301719312275,0.19369010595761696,0.1938500399840064,0.19400997401039585,0.1941699080367853,0.19432984206317472,0.19448977608956416,0.1946497101159536,0.19480964414234306,0.1949695781687325,0.19512951219512195,0.1952894462215114,0.19544938024790084,0.1956093142742903,0.19576924830067974,0.19592918232706918,0.1960891163534586,0.19624905037984805,0.1964089844062375,0.19656891843262694,0.1967288524590164,0.19688878648540584,0.19704872051179528,0.19720865453818473,0.19736858856457418,0.19752852259096362,0.19768845661735307,0.19784839064374252,0.19800832467013194,0.19816825869652138,0.19832819272291083,0.19848812674930028,0.19864806077568972,0.19880799480207917,0.19896792882846862,0.19912786285485806,0.1992877968812475,0.19944773090763696,0.1996076649340264,0.19976759896041582,0.19992753298680527,0.20008746701319471,0.20024740103958416,0.2004073350659736,0.20056726909236305,0.2007272031187525,0.20088713714514195,0.2010470711715314,0.20120700519792084,0.2013669392243103,0.2015268732506997,0.20168680727708915,0.2018467413034786,0.20200667532986805,0.2021666093562575,0.20232654338264694,0.2024864774090364,0.20264641143542583,0.20280634546181528,0.20296627948820473,0.20312621351459417,0.20328614754098362,0.20344608156737304,0.20360601559376248,0.20376594962015193,0.20392588364654138,0.20408581767293082,0.20424575169932027,0.20440568572570972,0.20456561975209916,0.2047255537784886,0.20488548780487806,0.2050454218312675,0.20520535585765692,0.20536528988404637,0.20552522391043582,0.20568515793682526,0.2058450919632147,0.20600502598960416,0.2061649600159936,0.20632489404238305,0.2064848280687725,0.20664476209516194,0.2068046961215514,0.20696463014794084,0.20712456417433026,0.2072844982007197,0.20744443222710915,0.2076043662534986,0.20776430027988804,0.2079242343062775,0.20808416833266694,0.20824410235905638,0.20840403638544583,0.20856397041183528,0.20872390443822472,0.20888383846461414,0.2090437724910036,0.20920370651739303,0.20936364054378248,0.20952357457017193,0.20968350859656137,0.20984344262295082,0.21000337664934027,0.21016331067572971,0.21032324470211916,0.2104831787285086,0.21064311275489805,0.21080304678128747,0.21096298080767692,0.21112291483406637,0.2112828488604558,0.21144278288684526,0.2116027169132347,0.21176265093962415,0.2119225849660136,0.21208251899240305,0.2122424530187925,0.21240238704518194,0.21256232107157136,0.2127222550979608,0.21288218912435025,0.2130421231507397,0.21320205717712915,0.2133619912035186,0.21352192522990804,0.21368185925629749,0.21384179328268693,0.21400172730907638,0.21416166133546582,0.21432159536185527,0.2144815293882447,0.21464146341463414,0.21480139744102358,0.21496133146741303,0.21512126549380248,0.21528119952019192,0.21544113354658137,0.21560106757297082,0.21576100159936026,0.2159209356257497,0.21608086965213916,0.21624080367852858,0.21640073770491802,0.21656067173130747,0.21672060575769692,0.21688053978408636,0.2170404738104758,0.21720040783686526,0.2173603418632547,0.21752027588964415,0.2176802099160336,0.21784014394242304,0.21800007796881246,0.2181600119952019,0.21831994602159135,0.2184798800479808,0.21863981407437025,0.2187997481007597,0.21895968212714914,0.2191196161535386,0.21927955017992803,0.21943948420631748,0.21959941823270693,0.21975935225909637,0.2199192862854858,0.22007922031187524,0.2202391543382647,0.22039908836465413,0.22055902239104358,0.22071895641743303,0.22087889044382247,0.22103882447021192,0.22119875849660137,0.2213586925229908,0.22151862654938026,0.22167856057576968,0.22183849460215913,0.22199842862854857,0.22215836265493802,0.22231829668132747,0.2224782307077169,0.22263816473410636,0.2227980987604958,0.22295803278688525,0.2231179668132747,0.22327790083966415,0.2234378348660536,0.223597768892443,0.22375770291883246,0.2239176369452219,0.22407757097161135,0.2242375049980008,0.22439743902439024,0.2245573730507797,0.22471730707716914,0.22487724110355858,0.22503717512994803,0.22519710915633748,0.2253570431827269,0.22551697720911634,0.2256769112355058,0.22583684526189524,0.22599677928828468,0.22615671331467413,0.22631664734106358,0.22647658136745302,0.22663651539384247,0.22679644942023192,0.22695638344662136,0.2271163174730108,0.22727625149940023,0.22743618552578967,0.22759611955217912,0.22775605357856857,0.22791598760495801,0.22807592163134746,0.2282358556577369,0.22839578968412635,0.2285557237105158,0.22871565773690525,0.2288755917632947,0.2290355257896841,0.22919545981607356,0.229355393842463,0.22951532786885245,0.2296752618952419,0.22983519592163135,0.2299951299480208,0.23015506397441024,0.2303149980007997,0.23047493202718913,0.23063486605357858,0.23079480007996803,0.23095473410635745,0.2311146681327469,0.23127460215913634,0.23143453618552579,0.23159447021191523,0.23175440423830468,0.23191433826469413,0.23207427229108357,0.23223420631747302,0.23239414034386247,0.2325540743702519,0.23271400839664133,0.23287394242303078,0.23303387644942022,0.23319381047580967,0.23335374450219912,0.23351367852858856,0.233673612554978,0.23383354658136746,0.2339934806077569,0.23415341463414635,0.2343133486605358,0.23447328268692522,0.23463321671331466,0.2347931507397041,0.23495308476609356,0.235113018792483,0.23527295281887245,0.2354328868452619,0.23559282087165134,0.2357527548980408,0.23591268892443024,0.23607262295081968,0.23623255697720913,0.23639249100359855,0.236552425029988,0.23671235905637744,0.2368722930827669,0.23703222710915633,0.23719216113554578,0.23735209516193523,0.23751202918832467,0.23767196321471412,0.23783189724110357,0.23799183126749301,0.23815176529388243,0.23831169932027188,0.23847163334666133,0.23863156737305077,0.23879150139944022,0.23895143542582967,0.2391113694522191,0.23927130347860856,0.239431237504998,0.23959117153138745,0.2397511055577769,0.23991103958416635,0.24007097361055577,0.2402309076369452,0.24039084166333466,0.2405507756897241,0.24071070971611355,0.240870643742503,0.24103057776889245,0.2411905117952819,0.24135044582167134,0.24151037984806079,0.24167031387445023,0.24183024790083965,0.2419901819272291,0.24215011595361854,0.242310049980008,0.24246998400639744,0.24262991803278688,0.24278985205917633,0.24294978608556578,0.24310972011195522,0.24326965413834467,0.24342958816473412,0.24358952219112356,0.24374945621751298,0.24390939024390243,0.24406932427029188,0.24422925829668132,0.24438919232307077,0.24454912634946022,0.24470906037584966,0.2448689944022391,0.24502892842862856,0.245188862455018,0.24534879648140745,0.24550873050779687,0.24566866453418632,0.24582859856057576,0.2459885325869652,0.24614846661335466,0.2463084006397441,0.24646833466613355,0.246628268692523,0.24678820271891244,0.2469481367453019,0.24710807077169133,0.24726800479808075,0.2474279388244702,0.24758787285085965,0.2477478068772491,0.24790774090363854,0.248067674930028,0.24822760895641743,0.24838754298280688,0.24854747700919633,0.24870741103558577,0.24886734506197522,0.24902727908836467,0.24918721311475409,0.24934714714114353,0.24950708116753298,0.24966701519392243,0.24982694922031187,0.24998688324670132,0.25014681727309074,0.2503067512994802,0.25046668532586963,0.2506266193522591,0.2507865533786485,0.250946487405038,0.2511064214314274,0.2512663554578169,0.2514262894842063,0.2515862235105958,0.2517461575369852,0.2519060915633746,0.2520660255897641,0.2522259596161535,0.252385893642543,0.2525458276689324,0.2527057616953219,0.2528656957217113,0.2530256297481008,0.2531855637744902,0.25334549780087967,0.2535054318272691,0.25366536585365856,0.253825299880048,0.2539852339064374,0.2541451679328269,0.2543051019592163,0.25446503598560577,0.2546249700119952,0.25478490403838466,0.2549448380647741,0.25510477209116356,0.255264706117553,0.25542464014394245,0.25558457417033187,0.2557445081967213,0.25590444222311076,0.2560643762495002,0.25622431027588966,0.2563842443022791,0.25654417832866855,0.25670411235505797,0.25686404638144744,0.25702398040783686,0.25718391443422634,0.25734384846061575,0.2575037824870052,0.25766371651339465,0.25782365053978407,0.25798358456617354,0.25814351859256296,0.25830345261895243,0.25846338664534185,0.2586233206717313,0.25878325469812075,0.2589431887245102,0.25910312275089964,0.25926305677728906,0.25942299080367853,0.25958292483006795,0.2597428588564574,0.25990279288284684,0.2600627269092363,0.26022266093562574,0.2603825949620152,0.26054252898840463,0.2607024630147941,0.2608623970411835,0.26102233106757294,0.2611822650939624,0.26134219912035184,0.2615021331467413,0.26166206717313073,0.2618220011995202,0.2619819352259096,0.2621418692522991,0.2623018032786885,0.262461737305078,0.2626216713314674,0.2627816053578569,0.2629415393842463,0.2631014734106357,0.2632614074370252,0.2634213414634146,0.2635812754898041,0.2637412095161935,0.263901143542583,0.2640610775689724,0.2642210115953619,0.2643809456217513,0.26454087964814077,0.2647008136745302,0.2648607477009196,0.2650206817273091,0.2651806157536985,0.265340549780088,0.2655004838064774,0.26566041783286687,0.2658203518592563,0.26598028588564576,0.2661402199120352,0.26630015393842466,0.2664600879648141,0.2666200219912035,0.26677995601759297,0.2669398900439824,0.26709982407037186,0.2672597580967613,0.26741969212315075,0.2675796261495402,0.26773956017592965,0.26789949420231907,0.26805942822870854,0.26821936225509796,0.2683792962814874,0.26853923030787685,0.26869916433426627,0.26885909836065575,0.26901903238704516,0.26917896641343464,0.26933890043982406,0.26949883446621353,0.26965876849260295,0.2698187025189924,0.26997863654538184,0.27013857057177126,0.27029850459816074,0.27045843862455016,0.27061837265093963,0.27077830667732905,0.2709382407037185,0.27109817473010794,0.2712581087564974,0.27141804278288684,0.2715779768092763,0.27173791083566573,0.2718978448620552,0.2720577788884446,0.27221771291483404,0.2723776469412235,0.27253758096761294,0.2726975149940024,0.27285744902039183,0.2730173830467813,0.2731773170731707,0.2733372510995602,0.2734971851259496,0.2736571191523391,0.2738170531787285,0.27397698720511793,0.2741369212315074,0.2742968552578968,0.2744567892842863,0.2746167233106757,0.2747766573370652,0.2749365913634546,0.2750965253898441,0.2752564594162335,0.275416393442623,0.2755763274690124,0.2757362614954018,0.2758961955217913,0.2760561295481807,0.2762160635745702,0.2763759976009596,0.2765359316273491,0.2766958656537385,0.27685579968012797,0.2770157337065174,0.27717566773290686,0.2773356017592963,0.2774955357856857,0.2776554698120752,0.2778154038384646,0.27797533786485407,0.2781352718912435,0.27829520591763296,0.2784551399440224,0.27861507397041185,0.27877500799680127,0.27893494202319075,0.27909487604958017,0.27925481007596964,0.27941474410235906,0.2795746781287485,0.27973461215513795,0.27989454618152737,0.28005448020791684,0.28021441423430626,0.28037434826069574,0.28053428228708516,0.28069421631347463,0.28085415033986405,0.2810140843662535,0.28117401839264294,0.28133395241903236,0.28149388644542184,0.28165382047181126,0.28181375449820073,0.28197368852459015,0.2821336225509796,0.28229355657736904,0.2824534906037585,0.28261342463014794,0.2827733586565374,0.28293329268292683,0.28309322670931625,0.2832531607357057,0.28341309476209514,0.2835730287884846,0.28373296281487403,0.2838928968412635,0.28405283086765293,0.2842127648940424,0.2843726989204318,0.2845326329468213,0.2846925669732107,0.28485250099960013,0.2850124350259896,0.285172369052379,0.2853323030787685,0.2854922371051579,0.2856521711315474,0.2858121051579368,0.2859720391843263,0.2861319732107157,0.2862919072371052,0.2864518412634946,0.286611775289884,0.2867717093162735,0.2869316433426629,0.2870915773690524,0.2872515113954418,0.2874114454218313,0.2875713794482207,0.2877313134746102,0.2878912475009996,0.28805118152738907,0.2882111155537785,0.28837104958016796,0.2885309836065574,0.2886909176329468,0.28885085165933627,0.2890107856857257,0.28917071971211517,0.2893306537385046,0.28949058776489406,0.2896505217912835,0.28981045581767295,0.28997038984406237,0.29013032387045185,0.29029025789684126,0.2904501919232307,0.29061012594962016,0.2907700599760096,0.29092999400239905,0.29108992802878847,0.29124986205517794,0.29140979608156736,0.29156973010795684,0.29172966413434626,0.29188959816073573,0.29204953218712515,0.29220946621351457,0.29236940023990404,0.29252933426629346,0.29268926829268294,0.29284920231907235,0.29300913634546183,0.29316907037185125,0.2933290043982407,0.29348893842463014,0.2936488724510196,0.29380880647740903,0.29396874050379845,0.29412867453018793,0.29428860855657735,0.2944485425829668,0.29460847660935624,0.2947684106357457,0.29492834466213513,0.2950882786885246,0.295248212714914,0.2954081467413035,0.2955680807676929,0.2957280147940824,0.2958879488204718,0.29604788284686123,0.2962078168732507,0.2963677508996401,0.2965276849260296,0.296687618952419,0.2968475529788085,0.2970074870051979,0.2971674210315874,0.2973273550579768,0.2974872890843663,0.2976472231107557,0.2978071571371451,0.2979670911635346,0.298127025189924,0.2982869592163135,0.2984468932427029,0.2986068272690924,0.2987667612954818,0.29892669532187127,0.2990866293482607,0.29924656337465017,0.2994064974010396,0.299566431427429,0.2997263654538185,0.2998862994802079,0.30004623350659737,0.3002061675329868,0.30036610155937626,0.3005260355857657,0.30068596961215516,0.3008459036385446,0.30100583766493405,0.30116577169132347,0.3013257057177129,0.30148563974410236,0.3016455737704918,0.30180550779688126,0.3019654418232707,0.30212537584966015,0.30228530987604957,0.30244524390243904,0.30260517792882846,0.30276511195521794,0.30292504598160735,0.3030849800079968,0.30324491403438625,0.30340484806077567,0.30356478208716514,0.30372471611355456,0.30388465013994403,0.30404458416633345,0.30420451819272293,0.30436445221911235,0.3045243862455018,0.30468432027189124,0.3048442542982807,0.30500418832467013,0.30516412235105955,0.305324056377449,0.30548399040383845,0.3056439244302279,0.30580385845661734,0.3059637924830068,0.30612372650939623,0.3062836605357857,0.3064435945621751,0.3066035285885646,0.306763462614954,0.30692339664134344,0.3070833306677329,0.30724326469412233,0.3074031987205118,0.3075631327469012,0.3077230667732907,0.3078830007996801,0.3080429348260696,0.308202868852459,0.3083628028788485,0.3085227369052379,0.3086826709316273,0.3088426049580168,0.3090025389844062,0.3091624730107957,0.3093224070371851,0.3094823410635746,0.309642275089964,0.3098022091163535,0.3099621431427429,0.31012207716913237,0.3102820111955218,0.3104419452219112,0.3106018792483007,0.3107618132746901,0.3109217473010796,0.311081681327469,0.31124161535385847,0.3114015493802479,0.31156148340663736,0.3117214174330268,0.31188135145941626,0.3120412854858057,0.31220121951219515,0.31236115353858457,0.312521087564974,0.31268102159136346,0.3128409556177529,0.31300088964414235,0.3131608236705318,0.31332075769692125,0.31348069172331067,0.31364062574970014,0.31380055977608956,0.31396049380247903,0.31412042782886845,0.3142803618552579,0.31444029588164735,0.31460022990803677,0.31476016393442624,0.31492009796081566,0.31508003198720513,0.31523996601359455,0.315399900039984,0.31555983406637345,0.3157197680927629,0.31587970211915234,0.31603963614554176,0.31619957017193123,0.31635950419832065,0.3165194382247101,0.31667937225109954,0.316839306277489,0.31699924030387844,0.3171591743302679,0.31731910835665733,0.3174790423830468,0.3176389764094362,0.31779891043582564,0.3179588444622151,0.31811877848860454,0.318278712514994,0.31843864654138343,0.3185985805677729,0.3187585145941623,0.3189184486205518,0.3190783826469412,0.3192383166733307,0.3193982506997201,0.31955818472610953,0.319718118752499,0.3198780527788884,0.3200379868052779,0.3201979208316673,0.3203578548580568,0.3205177888844462,0.3206777229108357,0.3208376569372251,0.3209975909636146,0.321157524990004,0.32131745901639347,0.3214773930427829,0.3216373270691723,0.3217972610955618,0.3219571951219512,0.3221171291483407,0.3222770631747301,0.32243699720111957,0.322596931227509,0.32275686525389846,0.3229167992802879,0.32307673330667736,0.3232366673330668,0.3233966013594562,0.32355653538584567,0.3237164694122351,0.32387640343862456,0.324036337465014,0.32419627149140345,0.3243562055177929,0.32451613954418235,0.32467607357057177,0.32483600759696124,0.32499594162335066,0.3251558756497401,0.32531580967612955,0.32547574370251897,0.32563567772890845,0.32579561175529786,0.32595554578168734,0.32611547980807676,0.32627541383446623,0.32643534786085565,0.3265952818872451,0.32675521591363454,0.32691514994002396,0.32707508396641344,0.32723501799280286,0.32739495201919233,0.32755488604558175,0.3277148200719712,0.32787475409836064,0.3280346881247501,0.32819462215113954,0.328354556177529,0.32851449020391843,0.3286744242303079,0.3288343582566973,0.32899429228308674,0.3291542263094762,0.32931416033586564,0.3294740943622551,0.32963402838864453,0.329793962415034,0.3299538964414234,0.3301138304678129,0.3302737644942023,0.3304336985205918,0.3305936325469812,0.3307535665733706,0.3309135005997601,0.3310734346261495,0.331233368652539,0.3313933026789284,0.3315532367053179,0.3317131707317073,0.3318731047580968,0.3320330387844862,0.3321929728108757,0.3323529068372651,0.3325128408636545,0.332672774890044,0.3328327089164334,0.3329926429428229,0.3331525769692123,0.3333125109956018,0.3334724450219912,0.33363237904838067,0.3337923130747701,0.33395224710115956,0.334112181127549,0.3342721151539384,0.3344320491803279,0.3345919832067173,0.33475191723310677,0.3349118512594962,0.33507178528588566,0.3352317193122751,0.33539165333866455,0.33555158736505397,0.33571152139144345,0.33587145541783286,0.3360313894442223,0.33619132347061176,0.3363512574970012,0.33651119152339065,0.33667112554978007,0.33683105957616954,0.33699099360255896,0.33715092762894844,0.33731086165533786,0.33747079568172733,0.33763072970811675,0.3377906637345062,0.33795059776089564,0.33811053178728506,0.33827046581367454,0.33843039984006396,0.33859033386645343,0.33875026789284285,0.3389102019192323,0.33907013594562174,0.3392300699720112,0.33939000399840064,0.3395499380247901,0.33970987205117953,0.33986980607756895,0.3400297401039584,0.34018967413034784,0.3403496081567373,0.34050954218312673,0.3406694762095162,0.3408294102359056,0.3409893442622951,0.3411492782886845,0.341309212315074,0.3414691463414634,0.34162908036785283,0.3417890143942423,0.3419489484206317,0.3421088824470212,0.3422688164734106,0.3424287504998001,0.3425886845261895,0.342748618552579,0.3429085525789684,0.3430684866053579,0.3432284206317473,0.3433883546581367,0.3435482886845262,0.3437082227109156,0.3438681567373051,0.3440280907636945,0.344188024790084,0.3443479588164734,0.3445078928428629,0.3446678268692523,0.34482776089564177,0.3449876949220312,0.34514762894842066,0.3453075629748101,0.3454674970011995,0.34562743102758897,0.3457873650539784,0.34594729908036786,0.3461072331067573,0.34626716713314676,0.3464271011595362,0.34658703518592565,0.34674696921231507,0.34690690323870454,0.34706683726509396,0.3472267712914834,0.34738670531787286,0.3475466393442623,0.34770657337065175,0.34786650739704117,0.34802644142343064,0.34818637544982006,0.34834630947620954,0.34850624350259896,0.34866617752898843,0.34882611155537785,0.34898604558176727,0.34914597960815674,0.34930591363454616,0.34946584766093564,0.34962578168732505,0.34978571571371453,0.34994564974010395,0.3501055837664934,0.35026551779288284,0.3504254518192723,0.35058538584566173,0.35074531987205115,0.35090525389844063,0.35106518792483005,0.3512251219512195,0.35138505597760894,0.3515449900039984,0.35170492403038783,0.3518648580567773,0.3520247920831667,0.3521847261095562,0.3523446601359456,0.35250459416233504,0.3526645281887245,0.35282446221511393,0.3529843962415034,0.3531443302678928,0.3533042642942823,0.3534641983206717,0.3536241323470612,0.3537840663734506,0.3539440003998401,0.3541039344262295,0.354263868452619,0.3544238024790084,0.3545837365053978,0.3547436705317873,0.3549036045581767,0.3550635385845662,0.3552234726109556,0.3553834066373451,0.3555433406637345,0.35570327469012397,0.3558632087165134,0.35602314274290286,0.3561830767692923,0.3563430107956817,0.3565029448220712,0.3566628788484606,0.35682281287485007,0.3569827469012395,0.35714268092762896,0.3573026149540184,0.35746254898040786,0.3576224830067973,0.35778241703318675,0.35794235105957617,0.3581022850859656,0.35826221911235506,0.3584221531387445,0.35858208716513396,0.3587420211915234,0.35890195521791285,0.35906188924430227,0.35922182327069174,0.35938175729708116,0.35954169132347064,0.35970162534986005,0.3598615593762495,0.36002149340263895,0.36018142742902837,0.36034136145541784,0.36050129548180726,0.36066122950819673,0.36082116353458615,0.36098109756097563,0.36114103158736505,0.3613009656137545,0.36146089964014394,0.36162083366653336,0.36178076769292283,0.36194070171931225,0.3621006357457017,0.36226056977209115,0.3624205037984806,0.36258043782487004,0.3627403718512595,0.36290030587764893,0.3630602399040384,0.3632201739304278,0.3633801079568173,0.3635400419832067,0.36369997600959614,0.3638599100359856,0.36401984406237503,0.3641797780887645,0.3643397121151539,0.3644996461415434,0.3646595801679328,0.3648195141943223,0.3649794482207117,0.3651393822471012,0.3652993162734906,0.36545925029988,0.3656191843262695,0.3657791183526589,0.3659390523790484,0.3660989864054378,0.3662589204318273,0.3664188544582167,0.3665787884846062,0.3667387225109956,0.36689865653738507,0.3670585905637745,0.3672185245901639,0.3673784586165534,0.3675383926429428,0.3676983266693323,0.3678582606957217,0.36801819472211117,0.3681781287485006,0.36833806277489006,0.3684979968012795,0.36865793082766896,0.3688178648540584,0.3689777988804478,0.36913773290683727,0.3692976669332267,0.36945760095961616,0.3696175349860056,0.36977746901239505,0.3699374030387845,0.37009733706517395,0.37025727109156337,0.37041720511795284,0.37057713914434226,0.37073707317073173,0.37089700719712115,0.3710569412235106,0.37121687524990005,0.37137680927628947,0.37153674330267894,0.37169667732906836,0.37185661135545783,0.37201654538184725,0.3721764794082367,0.37233641343462615,0.3724963474610156,0.37265628148740504,0.37281621551379446,0.37297614954018393,0.37313608356657335,0.3732960175929628,0.37345595161935224,0.3736158856457417,0.37377581967213114,0.3739357536985206,0.37409568772491003,0.3742556217512995,0.3744155557776889,0.37457548980407834,0.3747354238304678,0.37489535785685724,0.3750552918832467,0.37521522590963613,0.3753751599360256,0.375535093962415,0.3756950279888045,0.3758549620151939,0.3760148960415834,0.3761748300679728,0.37633476409436223,0.3764946981207517,0.3766546321471411,0.3768145661735306,0.37697450019992,0.3771344342263095,0.3772943682526989,0.3774543022790884,0.3776142363054778,0.3777741703318673,0.3779341043582567,0.3780940383846461,0.3782539724110356,0.378413906437425,0.3785738404638145,0.3787337744902039,0.3788937085165934,0.3790536425429828,0.37921357656937227,0.3793735105957617,0.37953344462215116,0.3796933786485406,0.37985331267493005,0.3800132467013195,0.3801731807277089,0.38033311475409837,0.3804930487804878,0.38065298280687726,0.3808129168332667,0.38097285085965615,0.3811327848860456,0.38129271891243505,0.38145265293882447,0.38161258696521394,0.38177252099160336,0.3819324550179928,0.38209238904438225,0.38225232307077167,0.38241225709716115,0.38257219112355056,0.38273212514994004,0.38289205917632946,0.38305199320271893,0.38321192722910835,0.3833718612554978,0.38353179528188724,0.38369172930827666,0.38385166333466614,0.38401159736105556,0.38417153138744503,0.38433146541383445,0.3844913994402239,0.38465133346661334,0.3848112674930028,0.38497120151939224,0.3851311355457817,0.38529106957217113,0.38545100359856055,0.38561093762495,0.38577087165133944,0.3859308056777289,0.38609073970411834,0.3862506737305078,0.38641060775689723,0.3865705417832867,0.3867304758096761,0.3868904098360656,0.387050343862455,0.3872102778888445,0.3873702119152339,0.3875301459416233,0.3876900799680128,0.3878500139944022,0.3880099480207917,0.3881698820471811,0.3883298160735706,0.38848975009996,0.3886496841263495,0.3888096181527389,0.3889695521791284,0.3891294862055178,0.3892894202319072,0.3894493542582967,0.3896092882846861,0.3897692223110756,0.389929156337465,0.3900890903638545,0.3902490243902439,0.39040895841663337,0.3905688924430228,0.39072882646941226,0.3908887604958017,0.3910486945221911,0.3912086285485806,0.39136856257497,0.39152849660135947,0.3916884306277489,0.39184836465413836,0.3920082986805278,0.39216823270691725,0.39232816673330667,0.39248810075969615,0.39264803478608556,0.392807968812475,0.39296790283886446,0.3931278368652539,0.39328777089164335,0.39344770491803277,0.39360763894442224,0.39376757297081166,0.39392750699720114,0.39408744102359056,0.39424737504998003,0.39440730907636945,0.39456724310275887,0.39472717712914834,0.39488711115553776,0.39504704518192724,0.39520697920831666,0.39536691323470613,0.39552684726109555,0.395686781287485,0.39584671531387444,0.3960066493402639,0.39616658336665334,0.3963265173930428,0.39648645141943223,0.39664638544582165,0.3968063194722111,0.39696625349860054,0.39712618752499,0.39728612155137943,0.3974460555777689,0.3976059896041583,0.3977659236305478,0.3979258576569372,0.3980857916833267,0.3982457257097161,0.39840565973610553,0.398565593762495,0.3987255277888844,0.3988854618152739,0.3990453958416633,0.3992053298680528,0.3993652638944422,0.3995251979208317,0.3996851319472211,0.3998450659736106,0.400005,0.4001649340263894,0.4003248680527789,0.4004848020791683,0.4006447361055578,0.4008046701319472,0.4009646041583367,0.4011245381847261,0.4012844722111156,0.401444406237505,0.40160434026389447,0.4017642742902839,0.4019242083166733,0.4020841423430628,0.4022440763694522,0.40240401039584167,0.4025639444222311,0.40272387844862056,0.40288381247501,0.40304374650139946,0.4032036805277889,0.40336361455417835,0.40352354858056777,0.40368348260695724,0.40384341663334666,0.4040033506597361,0.40416328468612556,0.404323218712515,0.40448315273890445,0.40464308676529387,0.40480302079168334,0.40496295481807276,0.40512288884446224,0.40528282287085166,0.40544275689724113,0.40560269092363055,0.40576262495001997,0.40592255897640944,0.40608249300279886,0.40624242702918834,0.40640236105557775,0.40656229508196723,0.40672222910835665,0.4068821631347461,0.40704209716113554,0.407202031187525,0.40736196521391443,0.40752189924030385,0.4076818332666933,0.40784176729308275,0.4080017013194722,0.40816163534586164,0.4083215693722511,0.40848150339864053,0.40864143742503,0.4088013714514194,0.4089613054778089,0.4091212395041983,0.40928117353058774,0.4094411075569772,0.40960104158336663,0.4097609756097561,0.4099209096361455,0.410080843662535,0.4102407776889244,0.4104007117153139,0.4105606457417033,0.4107205797680928,0.4108805137944822,0.4110404478208716,0.4112003818472611,0.4113603158736505,0.41152024990004,0.4116801839264294,0.4118401179528189,0.4120000519792083,0.4121599860055978,0.4123199200319872,0.41247985405837667,0.4126397880847661,0.41279972211115556,0.412959656137545,0.4131195901639344,0.4132795241903239,0.4134394582167133,0.41359939224310277,0.4137593262694922,0.41391926029588166,0.4140791943222711,0.41423912834866056,0.41439906237505,0.41455899640143945,0.41471893042782887,0.4148788644542183,0.41503879848060776,0.4151987325069972,0.41535866653338666,0.4155186005597761,0.41567853458616555,0.41583846861255497,0.41599840263894444,0.41615833666533386,0.41631827069172334,0.41647820471811275,0.4166381387445022,0.41679807277089165,0.41695800679728107,0.41711794082367054,0.41727787485005996,0.41743780887644943,0.41759774290283885,0.4177576769292283,0.41791761095561775,0.4180775449820072,0.41823747900839664,0.41839741303478606,0.41855734706117553,0.41871728108756495,0.4188772151139544,0.41903714914034385,0.4191970831667333,0.41935701719312274,0.4195169512195122,0.41967688524590163,0.4198368192722911,0.4199967532986805,0.42015668732507,0.4203166213514594,0.42047655537784884,0.4206364894042383,0.42079642343062773,0.4209563574570172,0.4211162914834066,0.4212762255097961,0.4214361595361855,0.421596093562575,0.4217560275889644,0.4219159616153539,0.4220758956417433,0.4222358296681327,0.4223957636945222,0.4225556977209116,0.4227156317473011,0.4228755657736905,0.42303549980008,0.4231954338264694,0.4233553678528589,0.4235153018792483,0.42367523590563777,0.4238351699320272,0.4239951039584166,0.4241550379848061,0.4243149720111955,0.424474906037585,0.4246348400639744,0.42479477409036387,0.4249547081167533,0.42511464214314276,0.4252745761695322,0.42543451019592166,0.4255944442223111,0.4257543782487005,0.42591431227508997,0.4260742463014794,0.42623418032786886,0.4263941143542583,0.42655404838064775,0.4267139824070372,0.42687391643342665,0.42703385045981607,0.42719378448620554,0.42735371851259496,0.4275136525389844,0.42767358656537385,0.42783352059176327,0.42799345461815275,0.42815338864454217,0.42831332267093164,0.42847325669732106,0.42863319072371053,0.42879312475009995,0.4289530587764894,0.42911299280287885,0.4292729268292683,0.42943286085565774,0.42959279488204716,0.42975272890843663,0.42991266293482605,0.4300725969612155,0.43023253098760494,0.4303924650139944,0.43055239904038384,0.4307123330667733,0.43087226709316273,0.4310322011195522,0.4311921351459416,0.43135206917233104,0.4315120031987205,0.43167193722510994,0.4318318712514994,0.43199180527788883,0.4321517393042783,0.4323116733306677,0.4324716073570572,0.4326315413834466,0.4327914754098361,0.4329514094362255,0.43311134346261493,0.4332712774890044,0.4334312115153938,0.4335911455417833,0.4337510795681727,0.4339110135945622,0.4340709476209516,0.4342308816473411,0.4343908156737305,0.43455074970012,0.4347106837265094,0.4348706177528988,0.4350305517792883,0.4351904858056777,0.4353504198320672,0.4355103538584566,0.4356702878848461,0.4358302219112355,0.43599015593762497,0.4361500899640144,0.43631002399040386,0.4364699580167933,0.43662989204318275,0.4367898260695722,0.4369497600959616,0.43710969412235107,0.4372696281487405,0.43742956217512996,0.4375894962015194,0.43774943022790885,0.4379093642542983,0.43806929828068775,0.43822923230707717,0.43838916633346664,0.43854910035985606,0.4387090343862455,0.43886896841263495,0.43902890243902437,0.43918883646541385,0.43934877049180326,0.43950870451819274,0.43966863854458216,0.43982857257097163,0.43998850659736105,0.4401484406237505,0.44030837465013994,0.44046830867652936,0.44062824270291884,0.44078817672930826,0.44094811075569773,0.44110804478208715,0.4412679788084766,0.44142791283486604,0.4415878468612555,0.44174778088764494,0.4419077149140344,0.44206764894042383,0.44222758296681325,0.4423875169932027,0.44254745101959214,0.4427073850459816,0.44286731907237104,0.4430272530987605,0.44318718712514993,0.4433471211515394,0.4435070551779288,0.4436669892043183,0.4438269232307077,0.44398685725709713,0.4441467912834866,0.444306725309876,0.4444666593362655,0.4446265933626549,0.4447865273890444,0.4449464614154338,0.4451063954418233,0.4452663294682127,0.4454262634946022,0.4455861975209916,0.4457461315473811,0.4459060655737705,0.4460659996001599,0.4462259336265494,0.4463858676529388,0.4465458016793283,0.4467057357057177,0.4468656697321072,0.4470256037584966,0.44718553778488607,0.4473454718112755,0.44750540583766496,0.4476653398640544,0.4478252738904438,0.4479852079168333,0.4481451419432227,0.44830507596961217,0.4484650099960016,0.44862494402239106,0.4487848780487805,0.44894481207516995,0.44910474610155937,0.44926468012794885,0.44942461415433826,0.4495845481807277,0.44974448220711716,0.4499044162335066,0.45006435025989605,0.45022428428628547,0.45038421831267494,0.45054415233906436,0.45070408636545384,0.45086402039184326,0.45102395441823273,0.45118388844462215,0.45134382247101157,0.45150375649740104,0.45166369052379046,0.45182362455017994,0.45198355857656936,0.45214349260295883,0.45230342662934825,0.4524633606557377,0.45262329468212714,0.4527832287085166,0.45294316273490604,0.45310309676129545,0.45326303078768493,0.45342296481407435,0.4535828988404638,0.45374283286685324,0.4539027668932427,0.45406270091963213,0.4542226349460216,0.454382568972411,0.4545425029988005,0.4547024370251899,0.4548623710515794,0.4550223050779688,0.45518223910435823,0.4553421731307477,0.4555021071571371,0.4556620411835266,0.455821975209916,0.4559819092363055,0.4561418432626949,0.4563017772890844,0.4564617113154738,0.4566216453418633,0.4567815793682527,0.4569415133946421,0.4571014474210316,0.457261381447421,0.4574213154738105,0.4575812495001999,0.4577411835265894,0.4579011175529788,0.4580610515793683,0.4582209856057577,0.45838091963214717,0.4585408536585366,0.458700787684926,0.4588607217113155,0.4590206557377049,0.45918058976409437,0.4593405237904838,0.45950045781687326,0.4596603918432627,0.45982032586965216,0.4599802598960416,0.46014019392243105,0.46030012794882047,0.4604600619752099,0.46061999600159936,0.4607799300279888,0.46093986405437826,0.4610997980807677,0.46125973210715715,0.46141966613354657,0.46157960015993604,0.46173953418632546,0.46189946821271494,0.46205940223910436,0.46221933626549383,0.46237927029188325,0.46253920431827267,0.46269913834466214,0.46285907237105156,0.46301900639744104,0.46317894042383045,0.46333887445021993,0.46349880847660935,0.4636587425029988,0.46381867652938824,0.4639786105557777,0.46413854458216713,0.46429847860855655,0.464458412634946,0.46461834666133545,0.4647782806877249,0.46493821471411434,0.4650981487405038,0.46525808276689323,0.4654180167932827,0.4655779508196721,0.4657378848460616,0.465897818872451,0.46605775289884044,0.4662176869252299,0.46637762095161933,0.4665375549780088,0.4666974890043982,0.4668574230307877,0.4670173570571771,0.4671772910835666,0.467337225109956,0.4674971591363455,0.4676570931627349,0.4678170271891243,0.4679769612155138,0.4681368952419032,0.4682968292682927,0.4684567632946821,0.4686166973210716,0.468776631347461,0.4689365653738505,0.4690964994002399,0.46925643342662937,0.4694163674530188,0.4695763014794082,0.4697362355057977,0.4698961695321871,0.4700561035585766,0.470216037584966,0.47037597161135547,0.4705359056377449,0.47069583966413436,0.4708557736905238,0.47101570771691326,0.4711756417433027,0.47133557576969215,0.47149550979608157,0.471655443822471,0.47181537784886046,0.4719753118752499,0.47213524590163936,0.4722951799280288,0.47245511395441825,0.47261504798080767,0.47277498200719714,0.47293491603358656,0.47309485005997604,0.47325478408636545,0.4734147181127549,0.47357465213914435,0.47373458616553377,0.47389452019192324,0.47405445421831266,0.47421438824470213,0.47437432227109155,0.474534256297481,0.47469419032387045,0.4748541243502599,0.47501405837664934,0.47517399240303876,0.47533392642942823,0.47549386045581765,0.4756537944822071,0.47581372850859655,0.475973662534986,0.47613359656137544,0.4762935305877649,0.47645346461415433,0.4766133986405438,0.4767733326669332,0.47693326669332264,0.4770932007197121,0.47725313474610154,0.477413068772491,0.47757300279888043,0.4777329368252699,0.4778928708516593,0.4780528048780488,0.4782127389044382,0.4783726729308277,0.4785326069572171,0.4786925409836066,0.478852475009996,0.4790124090363854,0.4791723430627749,0.4793322770891643,0.4794922111155538,0.4796521451419432,0.4798120791683327,0.4799720131947221,0.4801319472211116,0.480291881247501,0.48045181527389047,0.4806117493002799,0.4807716833266693,0.4809316173530588,0.4810915513794482,0.4812514854058377,0.4814114194322271,0.48157135345861657,0.481731287485006,0.48189122151139546,0.4820511555377849,0.48221108956417436,0.4823710235905638,0.4825309576169532,0.48269089164334267,0.4828508256697321,0.48301075969612156,0.483170693722511,0.48333062774890045,0.4834905617752899,0.48365049580167935,0.48381042982806877,0.48397036385445824,0.48413029788084766,0.4842902319072371,0.48445016593362655,0.48461009996001597,0.48477003398640545,0.48492996801279487,0.48508990203918434,0.48524983606557376,0.48540977009196323,0.48556970411835265,0.4857296381447421,0.48588957217113155,0.48604950619752096,0.48620944022391044,0.48636937425029986,0.48652930827668933,0.48668924230307875,0.4868491763294682,0.48700911035585764,0.4871690443822471,0.48732897840863654,0.487488912435026,0.48764884646141543,0.4878087804878049,0.4879687145141943,0.48812864854058374,0.4882885825669732,0.48844851659336264,0.4886084506197521,0.48876838464614153,0.488928318672531,0.4890882526989204,0.4892481867253099,0.4894081207516993,0.4895680547780888,0.4897279888044782,0.48988792283086763,0.4900478568572571,0.4902077908836465,0.490367724910036,0.4905276589364254,0.4906875929628149,0.4908475269892043,0.4910074610155938,0.4911673950419832,0.4913273290683727,0.4914872630947621,0.4916471971211515,0.491807131147541,0.4919670651739304,0.4921269992003199,0.4922869332267093,0.4924468672530988,0.4926068012794882,0.49276673530587767,0.4929266693322671,0.49308660335865656,0.493246537385046,0.4934064714114354,0.4935664054378249,0.4937263394642143,0.49388627349060377,0.4940462075169932,0.49420614154338266,0.4943660755697721,0.49452600959616155,0.49468594362255097,0.49484587764894045,0.49500581167532987,0.49516574570171934,0.49532567972810876,0.4954856137544982,0.49564554778088765,0.49580548180727707,0.49596541583366655,0.49612534986005596,0.49628528388644544,0.49644521791283486,0.49660515193922433,0.49676508596561375,0.4969250199920032,0.49708495401839264,0.49724488804478206,0.49740482207117154,0.49756475609756096,0.49772469012395043,0.49788462415033985,0.4980445581767293,0.49820449220311874,0.4983644262295082,0.49852436025589764,0.4986842942822871,0.49884422830867653,0.49900416233506595,0.4991640963614554,0.49932403038784484,0.4994839644142343,0.49964389844062373,0.4998038324670132,0.49996376649340263,0.500123700519792,0.5002836345461815,0.500443568572571,0.5006035025989605,0.5007634366253498,0.5009233706517393,0.5010833046781288,0.5012432387045181,0.5014031727309076,0.5015631067572971,0.5017230407836866,0.5018829748100759,0.5020429088364654,0.5022028428628549,0.5023627768892444,0.5025227109156337,0.5026826449420232,0.5028425789684127,0.503002512994802,0.5031624470211915,0.503322381047581,0.5034823150739705,0.5036422491003598,0.5038021831267493,0.5039621171531388,0.5041220511795282,0.5042819852059176,0.5044419192323071,0.5046018532586966,0.5047617872850859,0.5049217213114754,0.5050816553378649,0.5052415893642543,0.5054015233906437,0.5055614574170332,0.5057213914434227,0.5058813254698121,0.5060412594962015,0.506201193522591,0.5063611275489804,0.5065210615753698,0.5066809956017593,0.5068409296281488,0.5070008636545382,0.5071607976809276,0.5073207317073171,0.5074806657337065,0.507640599760096,0.5078005337864854,0.5079604678128748,0.5081204018392643,0.5082803358656537,0.5084402698920432,0.5086002039184326,0.5087601379448221,0.5089200719712115,0.509080005997601,0.5092399400239904,0.5093998740503799,0.5095598080767693,0.5097197421031587,0.5098796761295482,0.5100396101559376,0.510199544182327,0.5103594782087165,0.510519412235106,0.5106793462614954,0.5108392802878848,0.5109992143142743,0.5111591483406638,0.5113190823670531,0.5114790163934426,0.5116389504198321,0.5117988844462215,0.5119588184726109,0.5121187524990004,0.5122786865253899,0.5124386205517792,0.5125985545781687,0.5127584886045582,0.5129184226309477,0.513078356657337,0.5132382906837265,0.513398224710116,0.5135581587365053,0.5137180927628948,0.5138780267892843,0.5140379608156738,0.5141978948420631,0.5143578288684526,0.5145177628948421,0.5146776969212316,0.5148376309476209,0.5149975649740104,0.5151574990003999,0.5153174330267892,0.5154773670531787,0.5156373010795682,0.5157972351059577,0.515957169132347,0.5161171031587365,0.516277037185126,0.5164369712115154,0.5165969052379048,0.5167568392642943,0.5169167732906838,0.5170767073170732,0.5172366413434626,0.5173965753698521,0.5175565093962415,0.5177164434226309,0.5178763774490204,0.5180363114754098,0.5181962455017993,0.5183561795281887,0.5185161135545782,0.5186760475809676,0.5188359816073571,0.5189959156337465,0.519155849660136,0.5193157836865254,0.5194757177129148,0.5196356517393043,0.5197955857656937,0.5199555197920832,0.5201154538184726,0.520275387844862,0.5204353218712515,0.520595255897641,0.5207551899240304,0.5209151239504198,0.5210750579768093,0.5212349920031987,0.5213949260295881,0.5215548600559776,0.5217147940823671,0.5218747281087565,0.5220346621351459,0.5221945961615354,0.5223545301879249,0.5225144642143142,0.5226743982407037,0.5228343322670932,0.5229942662934826,0.523154200319872,0.5233141343462615,0.523474068372651,0.5236340023990403,0.5237939364254298,0.5239538704518193,0.5241138044782088,0.5242737385045981,0.5244336725309876,0.5245936065573771,0.5247535405837664,0.5249134746101559,0.5250734086365454,0.5252333426629349,0.5253932766893242,0.5255532107157137,0.5257131447421032,0.5258730787684927,0.526033012794882,0.5261929468212715,0.526352880847661,0.5265128148740503,0.5266727489004398,0.5268326829268293,0.5269926169532188,0.5271525509796081,0.5273124850059976,0.5274724190323871,0.5276323530587765,0.5277922870851659,0.5279522211115554,0.5281121551379448,0.5282720891643342,0.5284320231907237,0.5285919572171132,0.5287518912435026,0.528911825269892,0.5290717592962815,0.529231693322671,0.5293916273490604,0.5295515613754498,0.5297114954018393,0.5298714294282287,0.5300313634546181,0.5301912974810076,0.530351231507397,0.5305111655337865,0.5306710995601759,0.5308310335865654,0.5309909676129548,0.5311509016393443,0.5313108356657337,0.5314707696921231,0.5316307037185126,0.531790637744902,0.5319505717712915,0.5321105057976809,0.5322704398240704,0.5324303738504598,0.5325903078768492,0.5327502419032387,0.5329101759296282,0.5330701099560176,0.533230043982407,0.5333899780087965,0.533549912035186,0.5337098460615753,0.5338697800879648,0.5340297141143543,0.5341896481407437,0.5343495821671331,0.5345095161935226,0.5346694502199121,0.5348293842463014,0.5349893182726909,0.5351492522990804,0.5353091863254699,0.5354691203518592,0.5356290543782487,0.5357889884046382,0.5359489224310275,0.536108856457417,0.5362687904838065,0.536428724510196,0.5365886585365853,0.5367485925629748,0.5369085265893643,0.5370684606157538,0.5372283946421431,0.5373883286685326,0.5375482626949221,0.5377081967213114,0.5378681307477009,0.5380280647740904,0.5381879988004798,0.5383479328268692,0.5385078668532587,0.5386678008796482,0.5388277349060376,0.538987668932427,0.5391476029588165,0.539307536985206,0.5394674710115953,0.5396274050379848,0.5397873390643743,0.5399472730907637,0.5401072071171531,0.5402671411435426,0.540427075169932,0.5405870091963215,0.5407469432227109,0.5409068772491004,0.5410668112754898,0.5412267453018792,0.5413866793282687,0.5415466133546581,0.5417065473810476,0.541866481407437,0.5420264154338265,0.5421863494602159,0.5423462834866054,0.5425062175129948,0.5426661515393842,0.5428260855657737,0.5429860195921631,0.5431459536185526,0.543305887644942,0.5434658216713315,0.5436257556977209,0.5437856897241103,0.5439456237504998,0.5441055577768893,0.5442654918032787,0.5444254258296681,0.5445853598560576,0.544745293882447,0.5449052279088364,0.5450651619352259,0.5452250959616154,0.5453850299880048,0.5455449640143942,0.5457048980407837,0.5458648320671732,0.5460247660935625,0.546184700119952,0.5463446341463415,0.5465045681727309,0.5466645021991203,0.5468244362255098,0.5469843702518993,0.5471443042782886,0.5473042383046781,0.5474641723310676,0.5476241063574571,0.5477840403838464,0.5479439744102359,0.5481039084366254,0.5482638424630147,0.5484237764894042,0.5485837105157937,0.5487436445421832,0.5489035785685725,0.549063512594962,0.5492234466213515,0.549383380647741,0.5495433146741303,0.5497032487005198,0.5498631827269093,0.5500231167532987,0.5501830507796881,0.5503429848060776,0.550502918832467,0.5506628528588564,0.5508227868852459,0.5509827209116354,0.5511426549380248,0.5513025889644142,0.5514625229908037,0.5516224570171931,0.5517823910435826,0.551942325069972,0.5521022590963615,0.5522621931227509,0.5524221271491403,0.5525820611755298,0.5527419952019192,0.5529019292283087,0.5530618632546981,0.5532217972810876,0.553381731307477,0.5535416653338665,0.5537015993602559,0.5538615333866453,0.5540214674130348,0.5541814014394242,0.5543413354658137,0.5545012694922031,0.5546612035185926,0.554821137544982,0.5549810715713714,0.5551410055977609,0.5553009396241504,0.5554608736505398,0.5556208076769292,0.5557807417033187,0.5559406757297081,0.5561006097560975,0.556260543782487,0.5564204778088765,0.5565804118352659,0.5567403458616553,0.5569002798880448,0.5570602139144343,0.5572201479408236,0.5573800819672131,0.5575400159936026,0.557699950019992,0.5578598840463814,0.5580198180727709,0.5581797520991604,0.5583396861255497,0.5584996201519392,0.5586595541783287,0.5588194882047182,0.5589794222311075,0.559139356257497,0.5592992902838865,0.5594592243102758,0.5596191583366653,0.5597790923630548,0.5599390263894443,0.5600989604158336,0.5602588944422231,0.5604188284686126,0.560578762495002,0.5607386965213914,0.5608986305477809,0.5610585645741704,0.5612184986005597,0.5613784326269492,0.5615383666533387,0.5616983006797281,0.5618582347061175,0.562018168732507,0.5621781027588965,0.5623380367852859,0.5624979708116753,0.5626579048380648,0.5628178388644542,0.5629777728908436,0.5631377069172331,0.5632976409436226,0.563457574970012,0.5636175089964014,0.5637774430227909,0.5639373770491803,0.5640973110755698,0.5642572451019592,0.5644171791283487,0.5645771131547381,0.5647370471811275,0.564896981207517,0.5650569152339064,0.5652168492602959,0.5653767832866853,0.5655367173130748,0.5656966513394642,0.5658565853658537,0.5660165193922431,0.5661764534186325,0.566336387445022,0.5664963214714115,0.5666562554978009,0.5668161895241903,0.5669761235505798,0.5671360575769692,0.5672959916033586,0.5674559256297481,0.5676158596561376,0.567775793682527,0.5679357277089164,0.5680956617353059,0.5682555957616954,0.5684155297880847,0.5685754638144742,0.5687353978408637,0.568895331867253,0.5690552658936425,0.569215199920032,0.5693751339464215,0.5695350679728108,0.5696950019992003,0.5698549360255898,0.5700148700519793,0.5701748040783686,0.5703347381047581,0.5704946721311476,0.5706546061575369,0.5708145401839264,0.5709744742103159,0.5711344082367054,0.5712943422630947,0.5714542762894842,0.5716142103158737,0.5717741443422631,0.5719340783686525,0.572094012395042,0.5722539464214315,0.5724138804478208,0.5725738144742103,0.5727337485005998,0.5728936825269892,0.5730536165533786,0.5732135505797681,0.5733734846061576,0.573533418632547,0.5736933526589364,0.5738532866853259,0.5740132207117153,0.5741731547381047,0.5743330887644942,0.5744930227908837,0.5746529568172731,0.5748128908436625,0.574972824870052,0.5751327588964414,0.5752926929228309,0.5754526269492203,0.5756125609756098,0.5757724950019992,0.5759324290283886,0.5760923630547781,0.5762522970811675,0.576412231107557,0.5765721651339464,0.5767320991603359,0.5768920331867253,0.5770519672131148,0.5772119012395042,0.5773718352658936,0.5775317692922831,0.5776917033186725,0.577851637345062,0.5780115713714514,0.5781715053978409,0.5783314394242303,0.5784913734506197,0.5786513074770092,0.5788112415033987,0.578971175529788,0.5791311095561775,0.579291043582567,0.5794509776089564,0.5796109116353458,0.5797708456617353,0.5799307796881248,0.5800907137145142,0.5802506477409036,0.5804105817672931,0.5805705157936826,0.5807304498200719,0.5808903838464614,0.5810503178728509,0.5812102518992402,0.5813701859256297,0.5815301199520192,0.5816900539784087,0.581849988004798,0.5820099220311875,0.582169856057577,0.5823297900839665,0.5824897241103558,0.5826496581367453,0.5828095921631348,0.5829695261895242,0.5831294602159136,0.5832893942423031,0.5834493282686926,0.5836092622950819,0.5837691963214714,0.5839291303478609,0.5840890643742503,0.5842489984006397,0.5844089324270292,0.5845688664534187,0.5847288004798081,0.5848887345061975,0.585048668532587,0.5852086025589764,0.5853685365853658,0.5855284706117553,0.5856884046381448,0.5858483386645342,0.5860082726909236,0.5861682067173131,0.5863281407437025,0.586488074770092,0.5866480087964814,0.5868079428228709,0.5869678768492603,0.5871278108756497,0.5872877449020392,0.5874476789284286,0.5876076129548181,0.5877675469812075,0.587927481007597,0.5880874150339864,0.5882473490603759,0.5884072830867653,0.5885672171131547,0.5887271511395442,0.5888870851659336,0.589047019192323,0.5892069532187125,0.589366887245102,0.5895268212714914,0.5896867552978808,0.5898466893242703,0.5900066233506598,0.5901665573770492,0.5903264914034386,0.5904864254298281,0.5906463594562175,0.5908062934826069,0.5909662275089964,0.5911261615353859,0.5912860955617752,0.5914460295881647,0.5916059636145542,0.5917658976409437,0.591925831667333,0.5920857656937225,0.592245699720112,0.5924056337465013,0.5925655677728908,0.5927255017992803,0.5928854358256698,0.5930453698520591,0.5932053038784486,0.5933652379048381,0.5935251719312276,0.5936851059576169,0.5938450399840064,0.5940049740103959,0.5941649080367852,0.5943248420631747,0.5944847760895642,0.5946447101159537,0.594804644142343,0.5949645781687325,0.595124512195122,0.5952844462215114,0.5954443802479008,0.5956043142742903,0.5957642483006798,0.5959241823270691,0.5960841163534586,0.5962440503798481,0.5964039844062375,0.5965639184326269,0.5967238524590164,0.5968837864854059,0.5970437205117953,0.5972036545381847,0.5973635885645742,0.5975235225909636,0.597683456617353,0.5978433906437425,0.598003324670132,0.5981632586965214,0.5983231927229108,0.5984831267493003,0.5986430607756897,0.5988029948020792,0.5989629288284686,0.599122862854858,0.5992827968812475,0.599442730907637,0.5996026649340264,0.5997625989604158,0.5999225329868053,0.6000824670131947,0.6002424010395842,0.6004023350659736,0.6005622690923631,0.6007222031187525,0.6008821371451419,0.6010420711715314,0.6012020051979209,0.6013619392243102,0.6015218732506997,0.6016818072770892,0.6018417413034786,0.602001675329868,0.6021616093562575,0.602321543382647,0.6024814774090363,0.6026414114354258,0.6028013454618153,0.6029612794882048,0.6031212135145941,0.6032811475409836,0.6034410815673731,0.6036010155937624,0.6037609496201519,0.6039208836465414,0.6040808176729309,0.6042407516993202,0.6044006857257097,0.6045606197520992,0.6047205537784887,0.604880487804878,0.6050404218312675,0.605200355857657,0.6053602898840463,0.6055202239104358,0.6056801579368253,0.6058400919632148,0.6060000259896041,0.6061599600159936,0.6063198940423831,0.6064798280687725,0.6066397620951619,0.6067996961215514,0.6069596301479409,0.6071195641743302,0.6072794982007197,0.6074394322271092,0.6075993662534986,0.607759300279888,0.6079192343062775,0.608079168332667,0.6082391023590564,0.6083990363854458,0.6085589704118353,0.6087189044382247,0.6088788384646141,0.6090387724910036,0.609198706517393,0.6093586405437825,0.6095185745701719,0.6096785085965614,0.6098384426229508,0.6099983766493403,0.6101583106757297,0.6103182447021192,0.6104781787285086,0.610638112754898,0.6107980467812875,0.6109579808076769,0.6111179148340664,0.6112778488604558,0.6114377828868452,0.6115977169132347,0.6117576509396242,0.6119175849660136,0.612077518992403,0.6122374530187925,0.6123973870451819,0.6125573210715713,0.6127172550979608,0.6128771891243503,0.6130371231507397,0.6131970571771291,0.6133569912035186,0.6135169252299081,0.6136768592562974,0.6138367932826869,0.6139967273090764,0.6141566613354658,0.6143165953618552,0.6144765293882447,0.6146364634146342,0.6147963974410235,0.614956331467413,0.6151162654938025,0.615276199520192,0.6154361335465813,0.6155960675729708,0.6157560015993603,0.6159159356257498,0.6160758696521391,0.6162358036785286,0.6163957377049181,0.6165556717313074,0.6167156057576969,0.6168755397840864,0.6170354738104759,0.6171954078368652,0.6173553418632547,0.6175152758896442,0.6176752099160336,0.617835143942423,0.6179950779688125,0.618155011995202,0.6183149460215913,0.6184748800479808,0.6186348140743703,0.6187947481007597,0.6189546821271491,0.6191146161535386,0.619274550179928,0.6194344842063175,0.6195944182327069,0.6197543522590964,0.6199142862854858,0.6200742203118752,0.6202341543382647,0.6203940883646542,0.6205540223910436,0.620713956417433,0.6208738904438225,0.6210338244702119,0.6211937584966014,0.6213536925229908,0.6215136265493802,0.6216735605757697,0.6218334946021591,0.6219934286285486,0.622153362654938,0.6223132966813275,0.6224732307077169,0.6226331647341063,0.6227930987604958,0.6229530327868853,0.6231129668132747,0.6232729008396641,0.6234328348660536,0.623592768892443,0.6237527029188324,0.6239126369452219,0.6240725709716114,0.6242325049980008,0.6243924390243902,0.6245523730507797,0.6247123070771692,0.6248722411035585,0.625032175129948,0.6251921091563375,0.6253520431827269,0.6255119772091163,0.6256719112355058,0.6258318452618953,0.6259917792882846,0.6261517133146741,0.6263116473410636,0.6264715813674531,0.6266315153938424,0.6267914494202319,0.6269513834466214,0.6271113174730107,0.6272712514994002,0.6274311855257897,0.6275911195521792,0.6277510535785685,0.627910987604958,0.6280709216313475,0.628230855657737,0.6283907896841263,0.6285507237105158,0.6287106577369053,0.6288705917632946,0.6290305257896841,0.6291904598160736,0.629350393842463,0.6295103278688524,0.6296702618952419,0.6298301959216314,0.6299901299480208,0.6301500639744102,0.6303099980007997,0.6304699320271892,0.6306298660535785,0.630789800079968,0.6309497341063575,0.6311096681327469,0.6312696021591363,0.6314295361855258,0.6315894702119152,0.6317494042383047,0.6319093382646941,0.6320692722910836,0.632229206317473,0.6323891403438625,0.6325490743702519,0.6327090083966413,0.6328689424230308,0.6330288764494202,0.6331888104758097,0.6333487445021991,0.6335086785285886,0.633668612554978,0.6338285465813674,0.6339884806077569,0.6341484146341464,0.6343083486605358,0.6344682826869252,0.6346282167133147,0.6347881507397041,0.6349480847660935,0.635108018792483,0.6352679528188725,0.6354278868452619,0.6355878208716513,0.6357477548980408,0.6359076889244303,0.6360676229508196,0.6362275569772091,0.6363874910035986,0.636547425029988,0.6367073590563774,0.6368672930827669,0.6370272271091564,0.6371871611355457,0.6373470951619352,0.6375070291883247,0.6376669632147142,0.6378268972411035,0.637986831267493,0.6381467652938825,0.6383066993202718,0.6384666333466613,0.6386265673730508,0.6387865013994403,0.6389464354258296,0.6391063694522191,0.6392663034786086,0.639426237504998,0.6395861715313874,0.6397461055577769,0.6399060395841664,0.6400659736105557,0.6402259076369452,0.6403858416633347,0.6405457756897242,0.6407057097161135,0.640865643742503,0.6410255777688925,0.6411855117952819,0.6413454458216713,0.6415053798480608,0.6416653138744502,0.6418252479008396,0.6419851819272291,0.6421451159536186,0.642305049980008,0.6424649840063974,0.6426249180327869,0.6427848520591763,0.6429447860855658,0.6431047201119552,0.6432646541383447,0.6434245881647341,0.6435845221911235,0.643744456217513,0.6439043902439024,0.6440643242702919,0.6442242582966813,0.6443841923230708,0.6445441263494602,0.6447040603758497,0.6448639944022391,0.6450239284286285,0.645183862455018,0.6453437964814074,0.6455037305077969,0.6456636645341863,0.6458235985605758,0.6459835325869652,0.6461434666133546,0.6463034006397441,0.6464633346661336,0.646623268692523,0.6467832027189124,0.6469431367453019,0.6471030707716913,0.6472630047980807,0.6474229388244702,0.6475828728508597,0.647742806877249,0.6479027409036385,0.648062674930028,0.6482226089564175,0.6483825429828068,0.6485424770091963,0.6487024110355858,0.6488623450619753,0.6490222790883646,0.6491822131147541,0.6493421471411436,0.6495020811675329,0.6496620151939224,0.6498219492203119,0.6499818832467014,0.6501418172730907,0.6503017512994802,0.6504616853258697,0.6506216193522592,0.6507815533786485,0.650941487405038,0.6511014214314275,0.6512613554578168,0.6514212894842063,0.6515812235105958,0.6517411575369852,0.6519010915633746,0.6520610255897641,0.6522209596161536,0.652380893642543,0.6525408276689324,0.6527007616953219,0.6528606957217113,0.6530206297481007,0.6531805637744902,0.6533404978008797,0.6535004318272691,0.6536603658536585,0.653820299880048,0.6539802339064374,0.6541401679328269,0.6543001019592163,0.6544600359856058,0.6546199700119952,0.6547799040383846,0.6549398380647741,0.6550997720911635,0.655259706117553,0.6554196401439424,0.6555795741703319,0.6557395081967213,0.6558994422231108,0.6560593762495002,0.6562193102758896,0.6563792443022791,0.6565391783286685,0.656699112355058,0.6568590463814474,0.6570189804078369,0.6571789144342263,0.6573388484606157,0.6574987824870052,0.6576587165133947,0.6578186505397841,0.6579785845661735,0.658138518592563,0.6582984526189524,0.6584583866453418,0.6586183206717313,0.6587782546981208,0.6589381887245102,0.6590981227508996,0.6592580567772891,0.6594179908036786,0.6595779248300679,0.6597378588564574,0.6598977928828469,0.6600577269092363,0.6602176609356257,0.6603775949620152,0.6605375289884047,0.660697463014794,0.6608573970411835,0.661017331067573,0.6611772650939625,0.6613371991203518,0.6614971331467413,0.6616570671731308,0.6618170011995201,0.6619769352259096,0.6621368692522991,0.6622968032786886,0.6624567373050779,0.6626166713314674,0.6627766053578569,0.6629365393842463,0.6630964734106357,0.6632564074370252,0.6634163414634147,0.663576275489804,0.6637362095161935,0.663896143542583,0.6640560775689724,0.6642160115953618,0.6643759456217513,0.6645358796481408,0.6646958136745302,0.6648557477009196,0.6650156817273091,0.6651756157536985,0.665335549780088,0.6654954838064774,0.6656554178328669,0.6658153518592563,0.6659752858856457,0.6661352199120352,0.6662951539384246,0.6664550879648141,0.6666150219912035,0.666774956017593,0.6669348900439824,0.6670948240703719,0.6672547580967613,0.6674146921231507,0.6675746261495402,0.6677345601759296,0.6678944942023191,0.6680544282287085,0.668214362255098,0.6683742962814874,0.6685342303078768,0.6686941643342663,0.6688540983606558,0.6690140323870452,0.6691739664134346,0.6693339004398241,0.6694938344662135,0.6696537684926029,0.6698137025189924,0.6699736365453819,0.6701335705717713,0.6702935045981607,0.6704534386245502,0.6706133726509397,0.670773306677329,0.6709332407037185,0.671093174730108,0.6712531087564974,0.6714130427828868,0.6715729768092763,0.6717329108356658,0.6718928448620551,0.6720527788884446,0.6722127129148341,0.6723726469412236,0.6725325809676129,0.6726925149940024,0.6728524490203919,0.6730123830467812,0.6731723170731707,0.6733322510995602,0.6734921851259497,0.673652119152339,0.6738120531787285,0.673971987205118,0.6741319212315074,0.6742918552578968,0.6744517892842863,0.6746117233106758,0.6747716573370651,0.6749315913634546,0.6750915253898441,0.6752514594162335,0.6754113934426229,0.6755713274690124,0.6757312614954019,0.6758911955217913,0.6760511295481807,0.6762110635745702,0.6763709976009596,0.676530931627349,0.6766908656537385,0.676850799680128,0.6770107337065174,0.6771706677329068,0.6773306017592963,0.6774905357856857,0.6776504698120752,0.6778104038384646,0.6779703378648541,0.6781302718912435,0.6782902059176329,0.6784501399440224,0.6786100739704118,0.6787700079968013,0.6789299420231907,0.6790898760495802,0.6792498100759696,0.6794097441023591,0.6795696781287485,0.6797296121551379,0.6798895461815274,0.6800494802079168,0.6802094142343063,0.6803693482606957,0.6805292822870852,0.6806892163134746,0.680849150339864,0.6810090843662535,0.681169018392643,0.6813289524190324,0.6814888864454218,0.6816488204718113,0.6818087544982007,0.6819686885245901,0.6821286225509796,0.6822885565773691,0.6824484906037585,0.6826084246301479,0.6827683586565374,0.6829282926829269,0.6830882267093162,0.6832481607357057,0.6834080947620952,0.6835680287884847,0.683727962814874,0.6838878968412635,0.684047830867653,0.6842077648940423,0.6843676989204318,0.6845276329468213,0.6846875669732108,0.6848475009996001,0.6850074350259896,0.6851673690523791,0.6853273030787685,0.6854872371051579,0.6856471711315474,0.6858071051579369,0.6859670391843262,0.6861269732107157,0.6862869072371052,0.6864468412634946,0.686606775289884,0.6867667093162735,0.686926643342663,0.6870865773690524,0.6872465113954418,0.6874064454218313,0.6875663794482207,0.6877263134746101,0.6878862475009996,0.6880461815273891,0.6882061155537785,0.6883660495801679,0.6885259836065574,0.6886859176329468,0.6888458516593363,0.6890057856857257,0.6891657197121152,0.6893256537385046,0.689485587764894,0.6896455217912835,0.6898054558176729,0.6899653898440624,0.6901253238704518,0.6902852578968413,0.6904451919232307,0.6906051259496202,0.6907650599760096,0.690924994002399,0.6910849280287885,0.6912448620551779,0.6914047960815674,0.6915647301079568,0.6917246641343463,0.6918845981607357,0.6920445321871251,0.6922044662135146,0.6923644002399041,0.6925243342662935,0.6926842682926829,0.6928442023190724,0.6930041363454618,0.6931640703718512,0.6933240043982407,0.6934839384246302,0.6936438724510195,0.693803806477409,0.6939637405037985,0.694123674530188,0.6942836085565773,0.6944435425829668,0.6946034766093563,0.6947634106357456,0.6949233446621351,0.6950832786885246,0.6952432127149141,0.6954031467413034,0.6955630807676929,0.6957230147940824,0.6958829488204719,0.6960428828468612,0.6962028168732507,0.6963627508996402,0.6965226849260295,0.696682618952419,0.6968425529788085,0.697002487005198,0.6971624210315873,0.6973223550579768,0.6974822890843663,0.6976422231107557,0.6978021571371451,0.6979620911635346,0.6981220251899241,0.6982819592163134,0.6984418932427029,0.6986018272690924,0.6987617612954818,0.6989216953218712,0.6990816293482607,0.6992415633746502,0.6994014974010396,0.699561431427429,0.6997213654538185,0.6998812994802079,0.7000412335065974,0.7002011675329868,0.7003611015593763,0.7005210355857657,0.7006809696121551,0.7008409036385446,0.701000837664934,0.7011607716913235,0.7013207057177129,0.7014806397441024,0.7016405737704918,0.7018005077968813,0.7019604418232707,0.7021203758496601,0.7022803098760496,0.702440243902439,0.7026001779288285,0.7027601119552179,0.7029200459816074,0.7030799800079968,0.7032399140343862,0.7033998480607757,0.7035597820871652,0.7037197161135545,0.703879650139944,0.7040395841663335,0.7041995181927229,0.7043594522191123,0.7045193862455018,0.7046793202718913,0.7048392542982806,0.7049991883246701,0.7051591223510596,0.7053190563774491,0.7054789904038384,0.7056389244302279,0.7057988584566174,0.7059587924830067,0.7061187265093962,0.7062786605357857,0.7064385945621752,0.7065985285885645,0.706758462614954,0.7069183966413435,0.707078330667733,0.7072382646941223,0.7073981987205118,0.7075581327469013,0.7077180667732906,0.7078780007996801,0.7080379348260696,0.7081978688524591,0.7083578028788484,0.7085177369052379,0.7086776709316274,0.7088376049580168,0.7089975389844062,0.7091574730107957,0.7093174070371852,0.7094773410635745,0.709637275089964,0.7097972091163535,0.7099571431427429,0.7101170771691323,0.7102770111955218,0.7104369452219113,0.7105968792483007,0.7107568132746901,0.7109167473010796,0.711076681327469,0.7112366153538584,0.7113965493802479,0.7115564834066374,0.7117164174330268,0.7118763514594162,0.7120362854858057,0.7121962195121951,0.7123561535385846,0.712516087564974,0.7126760215913635,0.7128359556177529,0.7129958896441423,0.7131558236705318,0.7133157576969212,0.7134756917233107,0.7136356257497001,0.7137955597760895,0.713955493802479,0.7141154278288685,0.7142753618552579,0.7144352958816473,0.7145952299080368,0.7147551639344262,0.7149150979608156,0.7150750319872051,0.7152349660135946,0.715394900039984,0.7155548340663734,0.7157147680927629,0.7158747021191524,0.7160346361455417,0.7161945701719312,0.7163545041983207,0.7165144382247102,0.7166743722510995,0.716834306277489,0.7169942403038785,0.7171541743302678,0.7173141083566573,0.7174740423830468,0.7176339764094363,0.7177939104358256,0.7179538444622151,0.7181137784886046,0.7182737125149941,0.7184336465413834,0.7185935805677729,0.7187535145941624,0.7189134486205517,0.7190733826469412,0.7192333166733307,0.7193932506997202,0.7195531847261095,0.719713118752499,0.7198730527788885,0.7200329868052779,0.7201929208316673,0.7203528548580568,0.7205127888844463,0.7206727229108356,0.7208326569372251,0.7209925909636146,0.721152524990004,0.7213124590163934,0.7214723930427829,0.7216323270691724,0.7217922610955618,0.7219521951219512,0.7221121291483407,0.7222720631747301,0.7224319972011195,0.722591931227509,0.7227518652538985,0.7229117992802879,0.7230717333066773,0.7232316673330668,0.7233916013594562,0.7235515353858457,0.7237114694122351,0.7238714034386245,0.724031337465014,0.7241912714914034,0.7243512055177929,0.7245111395441823,0.7246710735705718,0.7248310075969612,0.7249909416233506,0.7251508756497401,0.7253108096761296,0.725470743702519,0.7256306777289084,0.7257906117552979,0.7259505457816873,0.7261104798080767,0.7262704138344662,0.7264303478608557,0.7265902818872451,0.7267502159136345,0.726910149940024,0.7270700839664135,0.7272300179928028,0.7273899520191923,0.7275498860455818,0.7277098200719712,0.7278697540983606,0.7280296881247501,0.7281896221511396,0.728349556177529,0.7285094902039184,0.7286694242303079,0.7288293582566974,0.7289892922830867,0.7291492263094762,0.7293091603358657,0.729469094362255,0.7296290283886445,0.729788962415034,0.7299488964414235,0.7301088304678128,0.7302687644942023,0.7304286985205918,0.7305886325469813,0.7307485665733706,0.7309085005997601,0.7310684346261496,0.7312283686525389,0.7313883026789284,0.7315482367053179,0.7317081707317074,0.7318681047580967,0.7320280387844862,0.7321879728108757,0.7323479068372651,0.7325078408636545,0.732667774890044,0.7328277089164335,0.7329876429428229,0.7331475769692123,0.7333075109956018,0.7334674450219912,0.7336273790483806,0.7337873130747701,0.7339472471011596,0.734107181127549,0.7342671151539384,0.7344270491803279,0.7345869832067173,0.7347469172331068,0.7349068512594962,0.7350667852858856,0.7352267193122751,0.7353866533386645,0.735546587365054,0.7357065213914434,0.7358664554178329,0.7360263894442223,0.7361863234706117,0.7363462574970012,0.7365061915233907,0.7366661255497801,0.7368260595761695,0.736985993602559,0.7371459276289484,0.7373058616553378,0.7374657956817273,0.7376257297081168,0.7377856637345062,0.7379455977608956,0.7381055317872851,0.7382654658136746,0.738425399840064,0.7385853338664534,0.7387452678928429,0.7389052019192323,0.7390651359456217,0.7392250699720112,0.7393850039984007,0.73954493802479,0.7397048720511795,0.739864806077569,0.7400247401039585,0.7401846741303478,0.7403446081567373,0.7405045421831268,0.7406644762095161,0.7408244102359056,0.7409843442622951,0.7411442782886846,0.7413042123150739,0.7414641463414634,0.7416240803678529,0.7417840143942424,0.7419439484206317,0.7421038824470212,0.7422638164734107,0.7424237504998,0.7425836845261895,0.742743618552579,0.7429035525789685,0.7430634866053578,0.7432234206317473,0.7433833546581368,0.7435432886845262,0.7437032227109156,0.7438631567373051,0.7440230907636946,0.7441830247900839,0.7443429588164734,0.7445028928428629,0.7446628268692523,0.7448227608956417,0.7449826949220312,0.7451426289484206,0.7453025629748101,0.7454624970011995,0.745622431027589,0.7457823650539784,0.7459422990803678,0.7461022331067573,0.7462621671331467,0.7464221011595362,0.7465820351859256,0.7467419692123151,0.7469019032387045,0.747061837265094,0.7472217712914834,0.7473817053178728,0.7475416393442623,0.7477015733706517,0.7478615073970412,0.7480214414234306,0.7481813754498201,0.7483413094762095,0.748501243502599,0.7486611775289884,0.7488211115553779,0.7489810455817673,0.7491409796081567,0.7493009136345462,0.7494608476609357,0.749620781687325,0.7497807157137145,0.749940649740104,0.7501005837664934,0.7502605177928828,0.7504204518192723,0.7505803858456618,0.7507403198720511,0.7509002538984406,0.7510601879248301,0.7512201219512196,0.7513800559776089,0.7515399900039984,0.7516999240303879,0.7518598580567772,0.7520197920831667,0.7521797261095562,0.7523396601359457,0.752499594162335,0.7526595281887245,0.752819462215114,0.7529793962415035,0.7531393302678928,0.7532992642942823,0.7534591983206718,0.7536191323470611,0.7537790663734506,0.7539390003998401,0.7540989344262296,0.7542588684526189,0.7544188024790084,0.7545787365053979,0.7547386705317873,0.7548986045581767,0.7550585385845662,0.7552184726109556,0.755378406637345,0.7555383406637345,0.755698274690124,0.7558582087165134,0.7560181427429028,0.7561780767692923,0.7563380107956817,0.7564979448220712,0.7566578788484606,0.7568178128748501,0.7569777469012395,0.7571376809276289,0.7572976149540184,0.7574575489804078,0.7576174830067973,0.7577774170331867,0.7579373510595762,0.7580972850859656,0.7582572191123551,0.7584171531387445,0.758577087165134,0.7587370211915234,0.7588969552179128,0.7590568892443023,0.7592168232706917,0.7593767572970812,0.7595366913234706,0.75969662534986,0.7598565593762495,0.760016493402639,0.7601764274290284,0.7603363614554178,0.7604962954818073,0.7606562295081967,0.7608161635345861,0.7609760975609756,0.7611360315873651,0.7612959656137545,0.7614558996401439,0.7616158336665334,0.7617757676929229,0.7619357017193122,0.7620956357457017,0.7622555697720912,0.7624155037984806,0.76257543782487,0.7627353718512595,0.762895305877649,0.7630552399040383,0.7632151739304278,0.7633751079568173,0.7635350419832068,0.7636949760095961,0.7638549100359856,0.7640148440623751,0.7641747780887644,0.7643347121151539,0.7644946461415434,0.7646545801679329,0.7648145141943222,0.7649744482207117,0.7651343822471012,0.7652943162734906,0.76545425029988,0.7656141843262695,0.765774118352659,0.7659340523790484,0.7660939864054378,0.7662539204318273,0.7664138544582167,0.7665737884846061,0.7667337225109956,0.7668936565373851,0.7670535905637745,0.7672135245901639,0.7673734586165534,0.7675333926429428,0.7676933266693323,0.7678532606957217,0.7680131947221112,0.7681731287485006,0.76833306277489,0.7684929968012795,0.768652930827669,0.7688128648540584,0.7689727988804478,0.7691327329068373,0.7692926669332267,0.7694526009596162,0.7696125349860056,0.769772469012395,0.7699324030387845,0.7700923370651739,0.7702522710915634,0.7704122051179528,0.7705721391443423,0.7707320731707317,0.7708920071971211,0.7710519412235106,0.7712118752499001,0.7713718092762895,0.7715317433026789,0.7716916773290684,0.7718516113554578,0.7720115453818472,0.7721714794082367,0.7723314134346262,0.7724913474610156,0.772651281487405,0.7728112155137945,0.772971149540184,0.7731310835665733,0.7732910175929628,0.7734509516193523,0.7736108856457417,0.7737708196721311,0.7739307536985206,0.7740906877249101,0.7742506217512994,0.7744105557776889,0.7745704898040784,0.7747304238304679,0.7748903578568572,0.7750502918832467,0.7752102259096362,0.7753701599360255,0.775530093962415,0.7756900279888045,0.775849962015194,0.7760098960415833,0.7761698300679728,0.7763297640943623,0.7764896981207517,0.7766496321471411,0.7768095661735306,0.7769695001999201,0.7771294342263094,0.7772893682526989,0.7774493022790884,0.7776092363054778,0.7777691703318672,0.7779291043582567,0.7780890383846462,0.7782489724110356,0.778408906437425,0.7785688404638145,0.778728774490204,0.7788887085165933,0.7790486425429828,0.7792085765693723,0.7793685105957617,0.7795284446221511,0.7796883786485406,0.77984831267493,0.7800082467013195,0.7801681807277089,0.7803281147540984,0.7804880487804878,0.7806479828068772,0.7808079168332667,0.7809678508596561,0.7811277848860456,0.781287718912435,0.7814476529388245,0.7816075869652139,0.7817675209916034,0.7819274550179928,0.7820873890443822,0.7822473230707717,0.7824072570971612,0.7825671911235506,0.78272712514994,0.7828870591763295,0.7830469932027189,0.7832069272291083,0.7833668612554978,0.7835267952818873,0.7836867293082767,0.7838466633346661,0.7840065973610556,0.7841665313874451,0.7843264654138344,0.7844863994402239,0.7846463334666134,0.7848062674930028,0.7849662015193922,0.7851261355457817,0.7852860695721712,0.7854460035985605,0.78560593762495,0.7857658716513395,0.785925805677729,0.7860857397041183,0.7862456737305078,0.7864056077568973,0.7865655417832866,0.7867254758096761,0.7868854098360656,0.7870453438624551,0.7872052778888444,0.7873652119152339,0.7875251459416234,0.7876850799680128,0.7878450139944022,0.7880049480207917,0.7881648820471812,0.7883248160735705,0.78848475009996,0.7886446841263495,0.788804618152739,0.7889645521791283,0.7891244862055178,0.7892844202319073,0.7894443542582967,0.7896042882846861,0.7897642223110756,0.789924156337465,0.7900840903638544,0.7902440243902439,0.7904039584166334,0.7905638924430228,0.7907238264694122,0.7908837604958017,0.7910436945221911,0.7912036285485806,0.79136356257497,0.7915234966013595,0.7916834306277489,0.7918433646541383,0.7920032986805278,0.7921632327069172,0.7923231667333067,0.7924831007596961,0.7926430347860856,0.792802968812475,0.7929629028388645,0.7931228368652539,0.7932827708916433,0.7934427049180328,0.7936026389444222,0.7937625729708117,0.7939225069972011,0.7940824410235906,0.79424237504998,0.7944023090763694,0.7945622431027589,0.7947221771291484,0.7948821111555378,0.7950420451819272,0.7952019792083167,0.7953619132347061,0.7955218472610955,0.795681781287485,0.7958417153138745,0.7960016493402639,0.7961615833666533,0.7963215173930428,0.7964814514194323,0.7966413854458216,0.7968013194722111,0.7969612534986006,0.79712118752499,0.7972811215513794,0.7974410555777689,0.7976009896041584,0.7977609236305477,0.7979208576569372,0.7980807916833267,0.7982407257097162,0.7984006597361055,0.798560593762495,0.7987205277888845,0.798880461815274,0.7990403958416633,0.7992003298680528,0.7993602638944423,0.7995201979208316,0.7996801319472211,0.7998400659736106,0.8]} diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/test/test.js b/lib/node_modules/@stdlib/math/base/special/besselk1/test/test.js new file mode 100644 index 000000000000..265dec255fa1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/test/test.js @@ -0,0 +1,176 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var randu = require( '@stdlib/random/base/randu' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var k1 = require( './../lib' ); + + +// FIXTURES // + +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smaller = require( './fixtures/julia/very_small.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof k1, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the modified Bessel function of the second kind of order one (K₁) (large positive values)', function test( t ) { + var expected; + var delta; + var tol; + var y; + var x; + var i; + + expected = largePositive.expected; + x = largePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = k1( x[i] ); + if ( y === expected[i] ) { + t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 1000.0 * EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the modified Bessel function of the second kind of order one (K₁) (medium positive values)', function test( t ) { + var expected; + var delta; + var tol; + var y; + var x; + var i; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = k1( x[i] ); + if ( y === expected[i] ) { + t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 800.0 * EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the modified Bessel function of the second kind of order one (K₁) (small positive values)', function test( t ) { + var expected; + var delta; + var tol; + var y; + var x; + var i; + + expected = smallPositive.expected; + x = smallPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = k1( x[i] ); + if ( y === expected[i] ) { + t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 1200.0 * EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the modified Bessel function of the second kind of order one (K₁) (smaller positive values)', function test( t ) { + var expected; + var delta; + var tol; + var y; + var x; + var i; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = k1( x[i] ); + if ( y === expected[i] ) { + t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 10.0 * EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns NaN for negative numbers', function test( t ) { + var v; + var x; + var i; + + for ( i = 0; i < 1000; i++ ) { + x = -( randu() * 100.0 ) - EPS; + v = k1( x ); + t.ok( isnan( v ), 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns +Infinity if provided 0.0', function test( t ) { + var v = k1( 0.0 ); + t.strictEqual( v, PINF, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns NaN if provided NaN', function test( t ) { + var v = k1( NaN ); + t.ok( isnan( v ), 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns 0.0 if provided +Infinity', function test( t ) { + var v = k1( PINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns NaN if provided -Infinity', function test( t ) { + var v = k1( NINF ); + t.ok( isnan( v ), 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/besselk1/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/besselk1/test/test.native.js new file mode 100644 index 000000000000..d9aa72b54620 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/besselk1/test/test.native.js @@ -0,0 +1,189 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var randu = require( '@stdlib/random/base/randu' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var k1 = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( k1 instanceof Error ) +}; + + +// FIXTURES // + +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smaller = require( './fixtures/julia/very_small.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof k1, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the modified Bessel function of the second kind of order one (K₁) (large positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + expected = largePositive.expected; + x = largePositive.x; + + for ( i = 0; i < x.length; i++ ) { + y = k1( x[i] ); + if ( y === expected[i] ) { + t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 1000.0 * EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the modified Bessel function of the second kind of order one (K₁) (medium positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + expected = mediumPositive.expected; + x = mediumPositive.x; + + for ( i = 0; i < x.length; i++ ) { + y = k1( x[i] ); + if ( y === expected[i] ) { + t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 900.0 * EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the modified Bessel function of the second kind of order one (K₁) (small positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + expected = smallPositive.expected; + x = smallPositive.x; + + for ( i = 0; i < x.length; i++ ) { + y = k1( x[i] ); + if ( y === expected[i] ) { + t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 1200.0 * EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the modified Bessel function of the second kind of order one (K₁) (smaller positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + expected = smaller.expected; + x = smaller.x; + + for ( i = 0; i < x.length; i++ ) { + y = k1( x[i] ); + if ( y === expected[i] ) { + t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[i] ); + tol = 10.0 * EPS * abs( expected[i] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns NaN for negative numbers', opts, function test( t ) { + var v; + var x; + var i; + + for ( i = 0; i < 1000; i++ ) { + x = -( randu() * 100.0 ) - EPS; + v = k1( x ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns +Infinity if provided 0.0', opts, function test( t ) { + var v = k1( 0.0 ); + t.strictEqual( v, PINF, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns NaN if provided NaN', opts, function test( t ) { + var v = k1( NaN ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns 0.0 if provided +Infinity', opts, function test( t ) { + var v = k1( PINF ); + t.strictEqual( v, 0.0, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns NaN if provided -Infinity', opts, function test( t ) { + var v = k1( NINF ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + t.end(); +});