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New package: Frechet Distance (#8284) 

## Summary of Changes

Add a new package computing the approximate Fréchet distance between two
polylines in dD under Euclidean metric, or decides if the distance is
smaller than a given value.

## Release Management

* Affected package(s): Frechet_distance
* Feature (if any):
[link](https://cgal.geometryfactory.com/CGAL/Members/wiki/Features/Frechet_Distance)
* License and copyright ownership:  MPI, GeometryFactory, cnrs(?)

## TODO:
- [x] check branch size (@sloriot)
- [x] Make it work with `Epick_d<Dimension_tag<2>>` @sloriot
This commit is contained in:
Sebastien Loriot 2025-06-05 16:08:47 +02:00 committed by GitHub
parent 616ce1b0d7 0ccbfc4c78
commit 30b3388446
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GPG Key ID: B5690EEEBB952194
229 changed files with 49761 additions and 42 deletions
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@ -39,6 +39,7 @@
\package_listing{Straight_skeleton_2}
\package_listing{Minkowski_sum_2}
\package_listing{Polyline_simplification_2}
\package_listing{Frechet_distance}
\package_listing{Visibility_2}
\package_listing{Set_movable_separability_2}

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@ -116,6 +116,46 @@
,update = "04.03 kettner, 01.06 hoffmann"
}
@inproceedings{cgal:bkn-wdfp-19,
author = {Karl Bringmann and
Marvin K{\"{u}}nnemann and
Andr{\'{e}} Nusser},
editor = {Gill Barequet and
Yusu Wang},
title = {Walking the Dog Fast in Practice: Algorithm Engineering of the Fr{\'{e}}chet
Distance},
booktitle = {35th International Symposium on Computational Geometry, SoCG 2019,
June 18-21, 2019, Portland, Oregon, {USA}},
series = {LIPIcs},
volume = {129},
pages = {17:1--17:21},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
year = {2019},
url = {https://doi.org/10.4230/LIPIcs.SoCG.2019.17},
doi = {10.4230/LIPICS.SOCG.2019.17},
timestamp = {Wed, 21 Aug 2024 22:46:00 +0200},
biburl = {https://dblp.org/rec/conf/compgeom/BringmannKN19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{cgal:bkn-wdfp-21,
author = {Karl Bringmann and
Marvin K{\"{u}}nnemann and
Andr{\'{e}} Nusser},
title = {Walking the dog fast in practice: Algorithm engineering of the Fr{\'{e}}chet
distance},
journal = {J. Comput. Geom.},
volume = {12},
number = {1},
pages = {70--108},
year = {2021},
url = {https://doi.org/10.20382/jocg.v12i1a4},
doi = {10.20382/JOCG.V12I1A4},
timestamp = {Mon, 09 May 2022 16:20:13 +0200},
biburl = {https://dblp.org/rec/journals/jocg/BringmannKN21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{ cgal:b-digph-01
,author = "Herv{\'e} Br{\"o}nnimann"
,title = "Designing and implementing a general purpose halfedge
@ -1829,7 +1869,7 @@ ABSTRACT = {We present the first complete, exact and efficient C++ implementatio
@manual{ cgal:mnsu-lum
,author = {Mehlhorn, K. and N\"aher, S. and Seel, M. and Uhrig, C.}
,title = {The {LEDA} {U}ser {M}anual}
,organization = {Max-Planck-Insitut f\"ur Informatik}
,organization = {Max-Planck-Institut f\"ur Informatik}
,address = {66123 Saarbr\"ucken, Germany}
,url = {https://domino.mpi-inf.mpg.de/internet/reports.nsf/efc044f1568a0058c125642e0064c817/cff150e000ddc461c12562a80045cb82/$FILE/MPI-I-95-1-002.pdf}
,update = "99.05 schirra, 00.09 hert"

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@ -220,6 +220,7 @@ def protect_accentuated_letters(authors):
.replace("É", r"{\'E}")
.replace("ä", r"{\"a}")
.replace("ö", r"{\"o}")
.replace("ü", r"{\"u}")
.replace("ñ", r"{\~n}")
.replace("ã", r"{\~a}")
.replace("ë", r"{\"e}")

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namespace CGAL {
template <typename D>
class Bbox_d;
template <class E,
class A,
class E2A,
@ -97,6 +100,10 @@ CGAL_LAZY_FORWARD(Bbox_2)
CGAL_LAZY_FORWARD(Bbox_3)
#undef CGAL_LAZY_FORWARD
template<class A> Bbox_d<A> const& approx(Bbox_d<A> const& d) { return d; }
template<class A> Bbox_d<A> const& exact (Bbox_d<A> const& d) { return d; }
template<class A> int depth (Bbox_d<A> const& ) { return 0; }
template<class T>inline std::enable_if_t<std::is_arithmetic<T>::value||std::is_enum<T>::value, T> approx(T d){return d;}
template<class T>inline std::enable_if_t<std::is_arithmetic<T>::value||std::is_enum<T>::value, T> exact (T d){return d;}
template<class T>inline std::enable_if_t<std::is_arithmetic<T>::value||std::is_enum<T>::value, int> depth(T){return -1;}

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/*!
\ingroup PkgFrechetDistanceConcepts
\cgalConcept
The concept `FrechetDistanceTraits` defines the requirements of the
first template parameter of the functions `CGAL::is_Frechet_distance_larger()`
and `CGAL::bounded_error_Frechet_distance()`, as well as of the
class template `CGAL::Frechet_distance::Neighbor_search`.
\cgalHasModelsBegin
\cgalHasModels{CGAL::Frechet_distance_traits_2}
\cgalHasModels{CGAL::Frechet_distance_traits_3}
\cgalHasModels{CGAL::Frechet_distance_traits_d}
\cgalHasModelsEnd
*/
class FrechetDistanceTraits {
public:
/// \name Types
/// @{
/*!
Dimension type with the ambient dimension `d`.
*/
using Dimension = CGAL::Dimension_tag<d>;
/*!
Point type.
*/
using Point_d = unspecified_type;
/*!
The number type of the %Cartesian coordinates of type `Point_d`. It must be a model of `FieldNumberType`.
For a given `FT n`, `to_interval(n)` must be a valid expression and it must
return an interval containing `n`, represented by a `std::pair<double, double>`.
*/
using FT = unspecified_type;
/*!
Either `CGAL::Bbox_2`, `CGAL::Bbox_3` or `CGAL::Bbox_d` depending on `Dimension`
*/
using Bbox_d = unspecified_type;
/*!
A random access iterator type to enumerate the
%Cartesian coordinates of a point, with `FT` as value type.
*/
using Cartesian_const_iterator_d = unspecified_type;
/*!
Functor with `operator()(const Point_d&)` and `operator()(const Point_d&, int)` for constructing
a begin and past-the-end `Cartesian_const_iterator_d`, respectively.
*/
using Construct_cartesian_const_iterator_d = unspecified_type;
/*!
Functor with operator to construct the bounding box of an object of type `Point_d`.
*/
using Construct_bbox_d = unspecified_type;
/*!
Functor with operator to compare the squared distance of two objects of type `Point_d` with a bound of type `FT`,
returning a `CGAL::Comparison_result`.
\note Only needed by class template `CGAL::Frechet_distance::Neighbor_search`.
*/
using Compare_squared_distance_d = unspecified_type;
/// @}
/// \name Operations
/// @{
/*!
Function used to construct an object of type `Construct_cartesian_const_iterator_d`.
*/
Construct_cartesian_const_iterator_d construct_cartesian_const_iterator_d_object() const;
/*!
Function used to construct an object of type `Construct_bbox_d`.
*/
Construct_bbox_d construct_bbox_d_object() const;
/*!
Function used to construct an object of type `Compare_squared_distance_d`.
*/
Compare_squared_distance_d compare_squared_distance_d_object() const;
/// @}
};

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@INCLUDE = ${CGAL_DOC_PACKAGE_DEFAULTS}
PROJECT_NAME = "CGAL ${CGAL_DOC_VERSION} - dD Frechet Distance"

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namespace CGAL {
/*!
\mainpage User Manual
\anchor Chapter_dD_Frechet_distance
\cgalAutoToc
\authors André Nusser, Marvin Künnemann, and Karl Bringmann
<center>
<img src="FrechetTeaser.png" style="max-width:30%;"/>
</center>
This package provides the means to compute an approximation of the Fréchet distance between two polylines, as well as a near neighbor data structure for polylines under the Fréchet distance, both in d-dimensional Euclidean space.
A polyline is defined by a sequence of points where we interpolate linearly between each pair of consecutive points.
In order to determine the Fréchet distance, an exact decision algorithm and a function that approximates the Fréchet distance arbitrarily well are included in the package.
The approximation algorithm is simply a binary search that repeatedly calls the decision algorithm, hence, if possible, the latter should preferably be used when optimizing for performance.
\section secFrechetDistanceIntroduction Introduction
The Fréchet distance is a classical dissimilarity measure between polylines.
Its advantages over other measures are that it both considers the polylines as continuous objects and takes into account the ordering of the points.
Intuitively, the Fréchet distance is commonly explained as follows: Imagine a human walking on one polyline while a dog walks on the other polyline,
they are connected by a leash, and they are only allowed to walk forward.
The Fréchet distance is the shortest leash length that allows the human
and the dog to jointly walk from start to end on their respective trajectories where they can each vary their speed arbitrarily.
The Fréchet distance is a metric. This implies that it is symmetric and that two polylines have distance zero if and only if they are equal (after removing redundant vertices).
The applications of this distance measure are plenty, for example:
- comparing the GPS traces of migrating animals to find the different routes that are being used
- measuring the similarity between movement patterns recorded via motion capture
- perform map matching to match a GPS trace to a transportation network
\section secFrechetDistanceAPI API
The main entry points are the following functions and classes:
- The function `bounded_error_Frechet_distance()`, which computes an approximation of the Fréchet distance between two polylines, up to a given approximation error.
It returns an interval that contains the exact distance.
- The function `is_Frechet_distance_larger()`, which determines if the Fréchet distance between two polylines is larger than a given bound.
- The class `Frechet_distance::Neighbor_search`, which stores a set of polylines and offers a query function to find polylines closer to a query curve than a given bound.
\section secFrechetTraits Traits Classes and Choice of Kernel
Both functions and the class have as template parameter a traits class defining the dimension and the point type.
The traits classes have as template parameter a kernel.
The guarantees offered by the algorithms of this package follow from the kernel choice.
In case the static constant `Has_filtered_predicates` of the kernel is `true`, the functions
combine interval arithmetic with a fallback to exact computing in case comparisons of intervals
are uncertain. This means for `Simple_cartesian<double>` that there are no guarantees, for
`Simple_cartesian<Exact_rational>` that all computations are performed with exact rationals,
and for kernels such as `Exact_predicates_inexact_constructions_kernel`, `Exact_predicates_exact_constructions_kernel`,
as well as `Epick_d` and `Epeck_d`, the computation is filtered and hence both fast and guaranteed to be correct.
\section secFrechetDistancePerformance Performance
The performance of the algorithm is quadratic in the number of vertices in the worst case.
Kernels with filtered predicates have roughly the same performance as others: the overhead of using interval arithmetic is negligible.
The algorithm is not concerned by the <em>curse of dimensionality</em>.
The running time increases when the curves are closer or when the bound for the approximation error becomes smaller.
For a very detailed analysis in practice, we refer to the journal paper entitled <em>Walking the Dog Fast in Practice: Algorithm Engineering of the Fréchet Distance</em>
\cgalCite{cgal:bkn-wdfp-21}.
\section secFrechetDistanceImplementation Implementation
The algorithms in this package are an adaption of the implementation devised by Bringmann et al. (\cgalCite{cgal:bkn-wdfp-19}
and \cgalCite{cgal:bkn-wdfp-21}). In particular, the implementation can decide non-difficult cases very
quickly, while it still has the quadratic running time guarantee of the classical Fréchet distance algorithm
by Alt and Godau \cgalCite{ag-cfdbt-95} for difficult cases. This is achieved by using fast bounding
box filtering methods and a divide-and-conquer algorithm with pruning rules on the free-space diagram.
\section secFrechetDistanceExamples Examples
In the examples, we use different kernels to illustrate that the functions
can be used with either inexact or exact kernels.
\subsection subsecFrechetDistanceFirstExample Decision for 2D Polylines
The following example shows how we can use `is_Frechet_distance_larger()`
to determine if the Frechet distance between two polylines is larger than a given distance bound.
\cgalExample{Frechet_distance/Frechet_distance_2.cpp}
\subsection subsecFrechetDistanceSecondExample Distance Computation for 3D Polylines
The following example shows how we can compute the Fréchet distance up to a given error bound on two
polylines in 3-dimensional Euclidean space using `bounded_error_Frechet_distance()`.
As we use `Simple_cartesian<double>`, the algorithm uses plain floating point arithmetic
without guarantees for correctness.
\cgalExample{Frechet_distance/Frechet_distance_3.cpp}
\subsection subsecFrechetDistanceThirdExample Distance Computation for dD Polylines
The following example shows how we can compute the Fréchet distance up to a given error bound on two
polylines in 4-dimensional Euclidean space using `bounded_error_Frechet_distance()`.
\cgalExample{Frechet_distance/Frechet_distance_d.cpp}
\subsection subsecFrechetDistanceDSExample Searching Close Curves
The following example shows how to store many curves in a data structure and to find all curves
closer than a distance bound to a query curve.
\cgalExample{Frechet_distance/Frechet_DS_3.cpp}
In the example below, we can see a query where:
- the query polyline is in bold green
- the query distance is 16
- the colorfull polylines are in distance at most 16 from the query and are therefore returned
- the light gray polylines are filtered out early on and no significant computation is performed on them
- the dark gray polyline is not filtered out early on but only later by our exact decision algorithm
<center>
<img src="example_2d.png" style="max-width:30%;"/>
</center>
\subsection subsecFrechetDistanceImageCredits Image Credits
The character image is a visualization of two data points from the <a href="https://archive.ics.uci.edu/dataset/175/character+trajectories">Character Trajectories</a> data set.
\subsection subsecFrechetDistanceImplementation Implementation History
An initial version using floating point arithmetic was developed by the authors
while working at the Max-Planck Institute for Informatics in Saarbrücken, Germany.
André Nusser, together with Sebastien Loriot and Andreas Fabri, introduced
the usage of interval arithmetic and square root extensions to alleviate issues stemming from rounding errors and hence ensure correctness of the computation.
*/
} /* namespace CGAL */

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/// \defgroup PkgFrechetDistanceRef Reference Manual
/// \defgroup PkgFrechetDistanceConcepts Concepts
/// \ingroup PkgFrechetDistanceRef
/// \defgroup PkgFrechetDistanceFunctions Functions
/// \ingroup PkgFrechetDistanceRef
/// \defgroup PkgFrechetDistanceTraits Traits Classes
/// \ingroup PkgFrechetDistanceRef
/*!
\addtogroup PkgFrechetDistanceRef
\cgalPkgDescriptionBegin{dD Fréchet Distance,PkgFrechetDistance}
\cgalPkgPicture{pdist-pkg-small.png}
\cgalPkgSummaryBegin
\cgalPkgAuthors{André Nusser, Marvin Künnemann, and Karl Bringmann}
\cgalPkgDesc{This package provides functions for computing an approximation of the Fréchet distance of two polylines in any dimension under the Euclidean metric.}
\cgalPkgManuals{Chapter_dD_Frechet_distance,PkgFrechetDistanceRef}
\cgalPkgSummaryEnd
\cgalPkgShortInfoBegin
\cgalPkgSince{6.1}
\cgalPkgBib{cgal:nkb-fd}
\cgalPkgLicense{\ref licensesGPL "GPL"}
\cgalPkgShortInfoEnd
\cgalPkgDescriptionEnd
This package provides functions for computing an approximation of the Fréchet distance of two polylines in any dimension under the Euclidean metric.
\cgalClassifedRefPages
\cgalCRPSection{Concepts}
- `FrechetDistanceTraits`
\cgalCRPSection{Classes}
- `CGAL::Frechet_distance::Neighbor_search`
- `CGAL::Frechet_distance_traits_2`
- `CGAL::Frechet_distance_traits_3`
- `CGAL::Frechet_distance_traits_d`
\cgalCRPSection{Functions}
- `CGAL::bounded_error_Frechet_distance()`
- `CGAL::is_Frechet_distance_larger()`
*/

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Manual
Number_types
Kernel_23
Kernel_d
STL_Extension
Algebraic_foundations
Circulator
Stream_support
BGL

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/*!
\example Frechet_distance/Frechet_distance_2.cpp
\example Frechet_distance/Frechet_distance_3.cpp
\example Frechet_distance/Frechet_distance_d.cpp
\example Frechet_distance/Frechet_distance_d_2.cpp
\example Frechet_distance/Frechet_DS_2.cpp
\example Frechet_distance/parallel_Frechet_DS_2.cpp
\example Frechet_distance/Frechet_DS_3.cpp
\example Frechet_distance/Frechet_DS_d.cpp
*/

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# Created by the script cgal_create_cmake_script
# This is the CMake script for compiling a CGAL application.
cmake_minimum_required(VERSION 3.12...3.29)
project( Frechet_distance_Examples )
find_package(CGAL REQUIRED QUIET OPTIONAL_COMPONENTS Core )
find_package(Eigen3 3.1.0 QUIET) #(requires 3.1.0 or greater)
include(CGAL_Eigen3_support)
create_single_source_cgal_program( "Frechet_distance_2.cpp" )
create_single_source_cgal_program( "Frechet_distance_3.cpp" )
create_single_source_cgal_program( "Frechet_DS_2.cpp" )
create_single_source_cgal_program( "Frechet_DS_3.cpp" )
if(TARGET CGAL::Eigen3_support)
create_single_source_cgal_program( "Frechet_DS_d.cpp" )
target_link_libraries(Frechet_DS_d PUBLIC CGAL::Eigen3_support)
create_single_source_cgal_program( "Frechet_distance_d_2.cpp" )
target_link_libraries(Frechet_distance_d_2 PUBLIC CGAL::Eigen3_support)
create_single_source_cgal_program( "Frechet_distance_d.cpp" )
target_link_libraries(Frechet_distance_d PUBLIC CGAL::Eigen3_support)
endif()
create_single_source_cgal_program("parallel_Frechet_DS_2.cpp")
find_package(TBB QUIET)
include(CGAL_TBB_support)
if(TARGET CGAL::TBB_support)
message(STATUS "Found TBB")
target_link_libraries(parallel_Frechet_DS_2 PRIVATE CGAL::TBB_support)
else()
message(STATUS "NOTICE: The example 'parallel_Frechet_DS_2' requires TBB, and will not be compiled")
endif()

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#include <CGAL/Frechet_distance.h>
#include <CGAL/Frechet_distance_traits_2.h>
#include <CGAL/Frechet_distance/Neighbor_search.h>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/IO/WKT.h>
#include <ostream>
#include <fstream>
#include <filesystem>
using Kernel = CGAL::Simple_cartesian<double>;
using Traits = CGAL::Frechet_distance_traits_2<Kernel>;
using Point = Traits::Point_d;
using Curve = std::vector<Point>;
using Curves = std::vector<Curve>;
int main()
{
Curves curves;
const std::filesystem::path data{"./data_2d"};
std::vector<std::string> filenames;
for (auto const& dir_entry : std::filesystem::directory_iterator{data}) {
filenames.push_back(dir_entry.path().string());
}
std::sort(filenames.begin(), filenames.end());
for (auto const& filename : filenames) {
std::cout << filename << std::endl;
std::ifstream in(filename);
curves.push_back(Curve());
CGAL::IO::read_linestring_WKT(in, curves.back());
}
// last curve is the query curve
Curve query = curves.back();
curves.pop_back();
CGAL::Frechet_distance::Neighbor_search<Curve, Traits> ds(curves);
for(const Curve& c : curves){
std::pair<double, double> res = CGAL::bounded_error_Frechet_distance(c, query, 0.000001);
std::cout << "The Frechet distance between the polylines is between " << res.first << " and " << res.second << std::endl;
}
double distance = 16;
std::vector<std::size_t> result = ds.get_close_curves(query, distance);
std::cout << result.size() << " curves at Frechet distance closer than " << distance << std::endl;
}

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#include <CGAL/Frechet_distance.h>
#include <CGAL/Frechet_distance_traits_3.h>
#include <CGAL/Frechet_distance/Neighbor_search.h>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/IO/WKT.h>
#include <ostream>
#include <fstream>
#include <filesystem>
using Kernel = CGAL::Simple_cartesian<double>;
using Traits = CGAL::Frechet_distance_traits_3<Kernel>;
using Point = Traits::Point_d;
using Curve = std::vector<Point>;
using Curves = std::vector<Curve>;
int main()
{
Curves curves;
const std::filesystem::path data{"./data_3d"};
for (auto const& dir_entry : std::filesystem::directory_iterator{data}){
std::ifstream in(dir_entry.path());
curves.push_back(Curve());
CGAL::IO::read_linestring_WKT(in, curves.back());
}
Curve query = curves.back();
curves.pop_back();
CGAL::Frechet_distance::Neighbor_search<Curve, Traits> ds(curves);
for(const Curve& c : curves){
std::pair<double, double> res = CGAL::bounded_error_Frechet_distance(c, query, 0.000001);
std::cout << "The Frechet distance between the polylines is between " << res.first << " and " << res.second << std::endl;
}
double distance = 16;
std::vector<std::size_t> result = ds.get_close_curves(query, distance);
std::cout << result.size() << " curves at Frechet distance closer than " << distance << std::endl;
return 0;
}

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#include <CGAL/Frechet_distance.h>
#include <CGAL/Frechet_distance_traits_d.h>
#include <CGAL/Frechet_distance/Neighbor_search.h>
#include <CGAL/Epick_d.h>
#include <CGAL/IO/WKT.h>
#include <ostream>
#include <fstream>
#include <filesystem>
using Kernel = CGAL::Epick_d<CGAL::Dimension_tag<4>>;
using Traits = CGAL::Frechet_distance_traits_d<Kernel>;
using Point = Traits::Point_d;
using Curve = std::vector<Point>;
using Curves = std::vector<Curve>;
int main()
{
Curves curves;
Curve polylineA = { Point(0,0,0,0), Point(1,0,0,0), Point(1,1,0,1),Point(1,1,1,0)};
Curve polylineB = { Point(0,0,0,0), Point(1,0,0,0), Point(1,1,0,0),Point(1,1,1,0)};
Curve polylineC = { Point(0,0,0,1), Point(1,0,0,0), Point(1,1,1,0),Point(1,1,0,0)};
curves.push_back(polylineA);
curves.push_back(polylineB);
curves.push_back(polylineC);
// last curve is the query curve
Curve query = curves.back();
curves.pop_back();
CGAL::Frechet_distance::Neighbor_search<Curve,Traits> ds(curves);
for(const Curve& c : curves){
std::pair<double, double> res = CGAL::bounded_error_Frechet_distance(c, query, 0.000001);
std::cout << "The Frechet distance between the polylines is between " << res.first << " and " << res.second << std::endl;
}
double distance = 1.1;
std::vector<std::size_t> result = ds.get_close_curves(query, distance);
std::cout << result.size() << " curves at Frechet distance closer than " << distance << std::endl;
}

25
Frechet_distance/examples/Frechet_distance/Frechet_distance_2.cpp Normal file
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#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Frechet_distance.h>
#include <CGAL/IO/WKT.h>
#include <ostream>
#include <fstream>
using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
using Point = Kernel::Point_2;
int main(int argc, char* argv[])
{
std::vector<Point> polylineA, polylineB;
{
std::ifstream in((argc > 1) ? argv[1] : CGAL::data_file_path("wkt/LetterA.wkt"));
CGAL::IO::read_linestring_WKT(in, polylineA);
}
{
std::ifstream in((argc > 1) ? argv[2] : CGAL::data_file_path("wkt/LetterAbis.wkt"));
CGAL::IO::read_linestring_WKT(in, polylineB);
}
bool res = CGAL::is_Frechet_distance_larger(polylineA, polylineB, 0.001);
std::cout << std::boolalpha << res << std::endl;
return 0;
}

26
Frechet_distance/examples/Frechet_distance/Frechet_distance_3.cpp Normal file
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#include <CGAL/Frechet_distance.h>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/IO/WKT.h>
#include <ostream>
#include <fstream>
using Kernel = CGAL::Simple_cartesian<double>;
using Point = Kernel::Point_3;
int main(int argc, char* argv[])
{
std::vector<Point> polylineA, polylineB;
{
std::ifstream in((argc > 1) ? argv[1] : CGAL::data_file_path("wkt/moebius.wkt"));
CGAL::IO::read_linestring_WKT(in, polylineA);
}
{
std::ifstream in((argc > 2) ? argv[2] : CGAL::data_file_path("wkt/moebius2.wkt"));
CGAL::IO::read_linestring_WKT(in, polylineB);
}
std::pair<double, double> res = CGAL::bounded_error_Frechet_distance(polylineA, polylineB, 0.000001);
std::cout << "The Frechet distance between the polylines is between " << res.first << " and " << res.second << std::endl;
return 0;
}

18
Frechet_distance/examples/Frechet_distance/Frechet_distance_d.cpp Normal file
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#include <CGAL/Epick_d.h>
#include <CGAL/Frechet_distance.h>
#include <iostream>
#include <vector>
using Kernel = CGAL::Epick_d<CGAL::Dimension_tag<4>>;
using Point = Kernel::Point_d;
int main()
{
std::array<Point,4> polylineA = { Point(0,0,0,0), Point(1,0,0,0), Point(1,1,0,1),Point(1,1,1,0)};
std::array<Point,4> polylineB = { Point(0,0,0,0), Point(1,0,0,0), Point(1,1,0,0),Point(1,1,1,0)};
std::pair<double, double> res = CGAL::bounded_error_Frechet_distance(polylineA, polylineB, 0.000001);
std::cout << "The Frechet distance between the polylines is between " << res.first << " and " << res.second << std::endl;
return 0;
}

27
Frechet_distance/examples/Frechet_distance/Frechet_distance_d_2.cpp Normal file
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#include <CGAL/Epick_d.h>
#include <CGAL/Frechet_distance.h>
#include <CGAL/Frechet_distance_traits_d.h>
#include <CGAL/IO/WKT.h>
#include <ostream>
#include <fstream>
using Kernel = CGAL::Epick_d<CGAL::Dimension_tag<2>>;
using Traits = CGAL::Frechet_distance_traits_d<Kernel>;
using Point = Kernel::Point_d;
int main(int argc, char* argv[])
{
std::vector<Point> polylineA, polylineB;
{
std::ifstream in((argc > 1) ? argv[1] : CGAL::data_file_path("wkt/LetterA.wkt"));
//CGAL::IO::read_linestring_WKT(in, polylineA);
}
{
std::ifstream in((argc > 1) ? argv[2] : CGAL::data_file_path("wkt/LetterAbis.wkt"));
//CGAL::IO::read_linestring_WKT(in, polylineB);
}
bool res = CGAL::is_Frechet_distance_larger(polylineA, polylineB, 0.001);
std::cout << std::boolalpha << res << std::endl;
return 0;
}

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#include <CGAL/Frechet_distance.h>
#include <CGAL/Frechet_distance_traits_2.h>
#include <CGAL/Frechet_distance/Neighbor_search.h>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/IO/WKT.h>
#include <ostream>
#include <fstream>
#include <filesystem>
using Kernel = CGAL::Simple_cartesian<double>;
using Traits = CGAL::Frechet_distance_traits_2<Kernel>;
using Point = Traits::Point_d;
using Curve = std::vector<Point>;
using Curves = std::vector<Curve>;
int main()
{
Curves curves;
const std::filesystem::path data{"./data_2d"};
std::vector<std::string> filenames;
for (auto const& dir_entry : std::filesystem::directory_iterator{data}) {
filenames.push_back(dir_entry.path().string());
}
std::sort(filenames.begin(), filenames.end());
for (auto const& filename : filenames) {
std::cout << filename << std::endl;
std::ifstream in(filename);
curves.push_back(Curve());
CGAL::IO::read_linestring_WKT(in, curves.back());
}
// last curve is the query curve
Curve query = curves.back();
curves.pop_back();
using Neighbor_search = CGAL::Frechet_distance::Neighbor_search<Curve, Traits>;
Neighbor_search ds(curves, CGAL::Parallel_if_available_tag());
for(const Curve& c : curves){
std::pair<double, double> res = CGAL::bounded_error_Frechet_distance(c, query, 0.000001);
std::cout << "The Frechet distance between the polylines is between " << res.first << " and " << res.second << std::endl;
}
double distance = 16;
std::vector<std::size_t> result = ds.get_close_curves<CGAL::Parallel_if_available_tag>(query, distance);
std::cout << result.size() << " curves at Frechet distance closer than " << distance << std::endl;
}

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_H
#define CGAL_FRECHET_DISTANCE_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/basic.h>
#include <CGAL/Frechet_distance/internal/Frechet_distance.h>
#include <CGAL/Dimension.h>
#include <CGAL/Named_function_parameters.h>
#include <iterator>
namespace CGAL
{
#ifdef CGAL_EIGEN3_ENABLED
template<class Dim> struct Epick_d;
template<class Dim> struct Epeck_d;
#endif
namespace internal
{
template <typename P,
int Dimension = ::CGAL::Ambient_dimension<P>::value >
struct Get_default_traits_base
#ifdef CGAL_EIGEN3_ENABLED
{
using type = Frechet_distance_traits_d<typename Kernel_traits<P>::Kernel>;
};
#else
;
#endif
template <typename P>
struct Get_default_traits_base<P, 2>
{
using type = Frechet_distance_traits_2<typename Kernel_traits<P>::Kernel>;
};
template <typename P>
struct Get_default_traits_base<P, 3>
{
using type = Frechet_distance_traits_3<typename Kernel_traits<P>::Kernel>;
};
template <class P, class K=typename Kernel_traits<P>::Kernel>
struct Get_default_traits
{
using type = typename Get_default_traits_base<P>::type;
};
#ifdef CGAL_EIGEN3_ENABLED
template <typename P, int dim>
struct Get_default_traits<P, Epick_d<Dimension_tag<dim>>>
{
using type = Frechet_distance_traits_d<typename Kernel_traits<P>::Kernel>;
};
template <typename P, int dim>
struct Get_default_traits<P, Epeck_d<Dimension_tag<dim>>>
{
using type = Frechet_distance_traits_d<typename Kernel_traits<P>::Kernel>;
};
#endif
template <class P>
struct Get_default_traits<P, ::CGAL::internal_kernel_traits::Dummy_kernel<P>>
{
using type = ::CGAL::internal_kernel_traits::Dummy_kernel<P>;
};
} // end of internal namespace
/**
* \ingroup PkgFrechetDistanceFunctions
* determines if the Frechet distance between two polylines is larger than a given distance bound.
*
* \tparam PointRange a model of the concept `RandomAccessContainer` whose value type is a `Point_d`
* \tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
*
* \param polyline1 the first polyline, defined by a sequence of consecutive points
* \param polyline2 the second polyline, defined by a sequence of consecutive points
* \param distance_bound the distance to compare against
* \param np an optional sequence of \ref bgl_namedparameters "Named Parameters" containing the one listed below:
*
* \cgalNamedParamsBegin
* \cgalParamNBegin{geom_traits}
* \cgalParamDescription{an instance of a geometric traits class}
* \cgalParamType{a model of `FrechetDistanceTraits`}
* \cgalParamDefault{`Frechet_distance_traits_2`, `Frechet_distance_traits_3`, or `Frechet_distance_traits_d`, depending on the dimension of the point type
* deduced from the point type, using `Kernel_traits`.}
* \cgalParamExtra{The input point type (the range's value type) must be equal to the traits' `Point_d` type.}
* \cgalParamNEnd
* \cgalNamedParamsEnd
*
* \pre the polylines must not be empty
*/
template <class PointRange, class NamedParameters = parameters::Default_named_parameters>
bool is_Frechet_distance_larger(const PointRange& polyline1,
const PointRange& polyline2,
const double distance_bound,
const NamedParameters& np = parameters::default_values())
{
constexpr bool force_filtering =
internal_np::Lookup_named_param_def<internal_np::force_filtering_t, NamedParameters, std::false_type>::type::value;
using Point_d = std::remove_cv_t<std::remove_reference_t<decltype(*polyline1.begin())>>;
using Default_traits = typename internal::Get_default_traits<Point_d>::type;
using Traits = typename internal_np::Lookup_named_param_def<internal_np::geom_traits_t,
NamedParameters,
Default_traits>::type;
Traits traits = parameters::choose_parameter<Traits>(
parameters::get_parameter(np, internal_np::geom_traits));
constexpr bool filtered = force_filtering ||
std::is_same_v<typename decltype(Frechet_distance::internal::toCurve<force_filtering>(polyline1, traits))::IFT,
Interval_nt<false>>;
Protect_FPU_rounding<filtered> p;
if(polyline1.empty() || polyline2.empty()){
return false;
}
auto icurve1 = Frechet_distance::internal::toCurve<force_filtering>(polyline1, traits);
auto icurve2 = Frechet_distance::internal::toCurve<force_filtering>(polyline2, traits);
using distance_t = const typename decltype(icurve1)::distance_t;
return ! Frechet_distance::internal::lessThan(icurve1, icurve2, distance_t(distance_bound));
}
/**
* \ingroup PkgFrechetDistanceFunctions
* returns an estimate of the Fréchet distance between the two polylines that is at most `error_bound`
* away from the exact Fréchet distance between the two polylines, where `error_bound` must be a positive number.
*
* \tparam PointRange a model of the concept `RandomAccessContainer` whose value type is a `Point_d`.
* \tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
*
* \param polyline1 the first polyline, defined by a sequence of consecutive points
* \param polyline2 the second polyline, defined by a sequence of consecutive points
* \param error_bound a maximum bound by which the Fréchet distance estimate is allowed to deviate from the exact Fréchet distance
* \param np an optional sequence of \ref bgl_namedparameters "Named Parameters" containing the one listed below:
*
* \cgalNamedParamsBegin
* \cgalParamNBegin{geom_traits}
* \cgalParamDescription{an instance of a geometric traits class}
* \cgalParamType{a model of `FrechetDistanceTraits`}
* \cgalParamDefault{`Frechet_distance_traits_2`, `Frechet_distance_traits_3`, or `Frechet_distance_traits_d`, depending on the dimension of the point type
* deduced from the point type, using `Kernel_traits`.}
* \cgalParamExtra{The input point type (the range's value type) must be equal to the traits' `Point_d` type.}
* \cgalParamNEnd
* \cgalNamedParamsEnd
*
* \pre the polylines must not be empty
*
* @return an interval enclosing the exact Fréchet distance, the difference between the upper and
* the lower bound being smaller than `error_bound`.
*/
template <class PointRange, class NamedParameters = parameters::Default_named_parameters>
std::pair<double,double> bounded_error_Frechet_distance(const PointRange& polyline1,
const PointRange& polyline2,
const double error_bound,
const NamedParameters& np = parameters::default_values())
{
constexpr bool force_filtering =
internal_np::Lookup_named_param_def<internal_np::force_filtering_t, NamedParameters, std::false_type>::type::value;
using Point_d = std::remove_cv_t<std::remove_reference_t<decltype(*polyline1.begin())>>;
using Default_traits = typename internal::Get_default_traits<Point_d>::type;
using Traits = typename internal_np::Lookup_named_param_def<internal_np::geom_traits_t,
NamedParameters,
Default_traits>::type;
Traits traits = parameters::choose_parameter<Traits>(
parameters::get_parameter(np, internal_np::geom_traits));
constexpr bool filtered = force_filtering ||
std::is_same_v<typename decltype(Frechet_distance::internal::toCurve<force_filtering>(polyline1, traits))::IFT,
Interval_nt<false>>;
Protect_FPU_rounding<filtered> p;
if(polyline1.empty() || polyline2.empty()){
return std::make_pair<double>(0,0);
}
auto icurve1 = Frechet_distance::internal::toCurve<force_filtering>(polyline1, traits);
auto icurve2 = Frechet_distance::internal::toCurve<force_filtering>(polyline2, traits);
return Frechet_distance::internal::calcDistance(icurve1, icurve2, error_bound);
}
} // end of namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_NEIGHBOR_SEARCH_H
#define CGAL_FRECHET_DISTANCE_NEIGHBOR_SEARCH_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Frechet_distance.h>
#include <CGAL/basic.h>
#include <CGAL/Frechet_distance/internal/Neighbor_search.h>
#include <iterator>
#include <vector>
#ifdef CGAL_LINKED_WITH_TBB
#include <tbb/parallel_for.h>
#include <tbb/blocked_range.h>
#endif
namespace CGAL {
namespace Frechet_distance {
/*!
* \ingroup PkgFrechetDistanceRef
* A data structure to store polylines with a function that enables to find those polylines which are closer than a distance bound to a query polyline.
*
* \tparam Traits a model of `FrechetDistanceTraits`
* \tparam PointRange a model of the concept `RandomAccessContainer` with `Traits::Point_d` as value type.
*/
template <class PointRange, class Traits>
class Neighbor_search
{
using PT = Traits; // Polyline_traits_2<Traits, double>;
using FT = typename PT::FT;
using Point = typename PT::Point_d;
using Polyline = PointRange;
using Polylines = std::vector<Polyline>;
public:
/*!
* constructs a neighbor search data structure for `polylines`
* \tparam ConcurrencyTag enables sequential versus parallel construction.
* Possible values are `Sequential_tag`, `Parallel_tag`, and `Parallel_if_available_tag`.
* \tparam PolylineRange must be a model of `RandomAccessRange` with value type `PointRange`
*/
template <typename ConcurrencyTag = Sequential_tag, typename PolylineRange>
Neighbor_search(const PolylineRange& polylines, ConcurrencyTag tag = ConcurrencyTag())
: curves(polylines.begin(), polylines.end())
{
CGAL_USE(tag);
kd_tree.insert(curves);
kd_tree.template build<ConcurrencyTag>();
}
#ifdef DOXYGEN_RUNNING
using Point = Traits::Point_d;
#endif
/*! returns the indices of the inserted polylines that are closer than `distance` to the polyline `query`.
* \param query the query polyline
* \param distance the distance bound
* \tparam ConcurrencyTag enables sequential versus parallel computation.
* Possible values are `Sequential_tag`, `Parallel_tag`, and `Parallel_if_available_tag`.
* \return a vector of indices of the inserted polylines that are closer than `distance` to the polyline `query`.
*/
template <typename ConcurrencyTag = Sequential_tag>
std::vector<std::size_t> get_close_curves(const PointRange& query, double distance)
{
#ifndef CGAL_LINKED_WITH_TBB
static_assert(!std::is_same_v<ConcurrencyTag, Parallel_tag>);
#endif
return get_close_curves(query, distance, ConcurrencyTag());
}
private:
std::vector<std::size_t> get_close_curves(const PointRange& query, double distance, Sequential_tag);
#ifdef CGAL_LINKED_WITH_TBB
std::vector<std::size_t> get_close_curves(const PointRange& query, double distance, Parallel_tag);
#endif
Polylines curves;
Frechet_distance::internal::FrechetKdTree<Traits> kd_tree;
};
template <class PointRange, class Traits>
#ifdef DOXYGEN_RUNNING
std::vector<std::size_t>
#else
auto
#endif
Neighbor_search<PointRange, Traits>::get_close_curves(
const PointRange& curve, double distance, Sequential_tag) -> std::vector<std::size_t>
{
auto result = kd_tree.search(curve, distance);
auto predicate = [&](std::size_t id) {
CGAL_assertion(id < curves.size());
return is_Frechet_distance_larger(
curve, curves[id], distance, parameters::geom_traits(Traits()));
};
#ifdef CGAL_FRECHET_VERBOSE
/std::cout << result.size() << " curves returned from tree" << std::endl;
#endif
auto new_end = std::remove_if(result.begin(), result.end(), predicate);
result.erase(new_end, result.end());
return result;
}
#ifdef CGAL_LINKED_WITH_TBB
template <class PointRange, class Traits>
#ifdef DOXYGEN_RUNNING
std::vector<std::size_t>
#else
auto
#endif
Neighbor_search<PointRange, Traits>::get_close_curves(
const PointRange& curve, double distance, Parallel_tag) -> std::vector<std::size_t>
{
std::vector<std::size_t> result;
result = kd_tree.search(curve, distance);
std::vector<int> to_remove(result.size(), 0);
tbb::parallel_for(tbb::blocked_range<std::size_t>(0, result.size()), [&](const tbb::blocked_range<std::size_t>& r) {
for (std::size_t i = r.begin(); i != r.end(); ++i) {
to_remove[i] = is_Frechet_distance_larger(curve, curves[result[i]], distance, parameters::geom_traits(Traits()));
}
});
int compact = 0;
for(std::size_t i = 0; i < to_remove.size(); ++i) {
if(! to_remove[i]) {
result[compact] = result[i];
++compact;
}
}
result.resize(compact);
return result;
}
#endif
}
} // end of namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_NEIGHBOR_SEARCH_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_CERTIFICATE_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_CERTIFICATE_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Frechet_distance/internal/Curve.h>
#include <CGAL/Frechet_distance/internal/geometry_basics.h>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
template <typename C>
class Certificate
{
using Curve = C;
using CPositions = CGAL::Frechet_distance::internal::CPositions<C>;
using CPosition = CGAL::Frechet_distance::internal::CPosition<C>;
using CPoint = CGAL::Frechet_distance::internal::CPoint<C>;
public:
Certificate() = default;
bool isYes() const
{
assert(isValid());
return lessThan;
}
bool isValid() const { return valid; }
bool check() const;
const CPositions& getTraversal() const { return traversal; }
void addPoint(const CPosition& pos) { traversal.push_back(pos); }
void setAnswer(bool answer) { lessThan = answer; }
void setCurves(const Curve* curve1, const Curve* curve2)
{
curve_pair[0] = curve1;
curve_pair[1] = curve2;
}
void setDistance(typename Curve::IFT distance)
{
dist = distance;
}
void validate() { valid = true; };
void reset()
{
valid = false;
traversal.clear();
}
void clear() { traversal.clear(); }
void dump_certificate() const;
private:
// if YES certificate: (traversal1[0], traversal2[0]), ..., (traversal1[T],
// traversal2[T]) should be feasible traversal of curve1 and curve2
// (interpolate between discrete points) if NO certificate: certificate
// should be as described in certificate-outline.pdf
CPositions traversal;
std::array<const Curve*, 2> curve_pair;
typename Curve::IFT dist;
bool lessThan;
bool valid = false;
bool feasible(const CPosition& pt) const;
bool feasible(const CPoint& pt1, const CPoint& pt2) const;
bool nonEmpty(CurveID fixed_curve, const CPoint& fixed_point,
const CPoint& start_pt, const CPoint& end_point) const;
};
} // namespace internal
} // namespace Frechet_distance_
} // namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_CERTIFICATE_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_CURVE_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_CURVE_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Frechet_distance/internal/Id.h>
#include <CGAL/Kernel/Type_mapper.h>
#include <CGAL/Bbox_d.h>
#include <CGAL/Bbox_2.h>
#include <CGAL/Bbox_3.h>
#include <CGAL/Cartesian_converter.h>
#include <vector>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
//TODO: move that in Kernel_23/Kernel_d?
double length_of_diagonal(const Bbox_2& bb)
{
using I = Interval_nt<true>;
I d = square(I(bb.xmax()) - I(bb.xmin()));
d += square(I(bb.ymax()) - I(bb.ymin()));
return sqrt(d).sup();
}
double length_of_diagonal(const Bbox_3& bb)
{
using I = Interval_nt<true>;
I d = square(I(bb.xmax()) - I(bb.xmin()));
d += square(I(bb.ymax()) - I(bb.ymin()));
d += square(I(bb.zmax()) - I(bb.zmin()));
return sqrt(d).sup();
}
template<int N>
double length_of_diagonal(const Bbox_d<Dimension_tag<N>>& bb)
{
using I = Interval_nt<true>;
I d = square(I((bb.max)(0)) - I((bb.min)(0)));
for(int i = 1; i < bb.dimension(); ++i){
d += square(I((bb.max)(i)) - I((bb.min)(i)));
}
return sqrt(d).sup();
}
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a trajectory. Additionally to the points given in the
* input file, we also store the length of any prefix of the trajectory.
*/
template <typename Traits, bool is_filtered=false>
class Curve;
/*
K Has_filtered_predicates is_floating_point(K::FT) store input
Epick Y Y N as we can do to_double of interval
Epeck Y N Y as we later need exact
SC<double> N Y N as we can do to_double of interval
SC<Rational> N N Y as we later need exact
SC<Interval_nt> N N Y to simplify life
SC<Expr> N N Y as we later need exact
Epeck_with_sqrt N N Y as we later need exact
*/
//floating-point based filtered version
template <typename Approximate_traits, typename Rational_traits>
class Curve<std::pair<Approximate_traits,Rational_traits>, true>
: public Curve<Approximate_traits, false>
{
public:
using Base = Curve<Approximate_traits, false>;
using distance_t = typename Approximate_traits::FT;
using Point = typename Approximate_traits::Point_d;
using PointID = typename Base::PointID;
using Rational = typename Rational_traits::FT;
using Rational_point = typename Rational_traits::Point_d;
using AT = Approximate_traits;
using ET = Rational_traits;
Curve() = default;
template <class PointRange, class Input_traits>
Curve(const PointRange& point_range, const Input_traits& in_traits, const Rational_traits& rt = Rational_traits())
: rational_traits_(rt)
{
static constexpr int dim = Approximate_traits::Dimension::value;
this->points.reserve(point_range.size());
std::array<distance_t, dim> coords;
auto ccci = in_traits.construct_cartesian_const_iterator_d_object();
for (auto const& p : point_range)
{
auto itp = ccci(p);
for (int i=0;i<dim; ++i)
coords[i]=distance_t(to_interval(*itp++));
if constexpr (dim==2)
this->points.emplace_back(coords[0], coords[1]);
else if constexpr (dim==3)
this->points.emplace_back(coords[0], coords[1], coords[2]);
else
this->points.emplace_back(coords);
}
this->init();
}
Rational_point rpoint(PointID const& i) const
{
if constexpr (Approximate_traits::Dimension::value<=3)
{
using I2R = Cartesian_converter< typename Kernel_traits<Point>::Kernel,
typename Kernel_traits<Rational_point>::Kernel, NT_converter<distance_t,double>>;
I2R convert;
return convert(this->point(i));
}
else
{
Rational_point rp;
for(int d=0; d<Approximate_traits::Dimension::value; ++d)
{
CGAL_assertion(this->point(i)[d].inf()==this->point(i)[d].sup());
rp[d]=Rational(this->point(i)[d].inf());
}
return rp;
}
}
const Rational_traits& rational_traits() const { return rational_traits_; }
Rational_traits rational_traits_;
};
//Exact rational based filtered version
template <typename Input_point, typename Approximate_traits, typename Rational_traits>
class Curve<std::tuple<Input_point, Approximate_traits,Rational_traits>, true>
: public Curve<Approximate_traits, false>
{
public:
using Base = Curve<Approximate_traits, false>;
using distance_t = typename Approximate_traits::FT;
using Point = typename Approximate_traits::Point_d;
using PointID = typename Base::PointID;
using Rational = typename Rational_traits::FT;
using Rational_point = typename Rational_traits::Point_d;
using AT = Approximate_traits;
using ET = Rational_traits;
Curve() = default;
template <class PointRange, class Input_traits>
Curve(const PointRange& point_range, const Input_traits& in_traits, const Rational_traits& rt = Rational_traits())
: rational_traits_(rt)
{
this->points.reserve(point_range.size());
rational_points.reserve(point_range.size());
for (auto const& p : point_range)
{
if constexpr(std::is_same_v<Input_point, Rational_point>)
{
static constexpr int dim = Approximate_traits::Dimension::value;
std::array<distance_t, dim> coords;
auto ccci = in_traits.construct_cartesian_const_iterator_d_object();
auto itp = ccci(p);
for (int i=0;i<dim; ++i)
coords[i]=distance_t(to_interval(*itp++));
if constexpr (dim==2)
this->points.emplace_back(coords[0], coords[1]);
else if constexpr (dim==3)
this->points.emplace_back(coords[0], coords[1], coords[2]);
else
this->points.emplace_back(coords);
}
else
{
typename Kernel_traits<Input_point>::Kernel::C2F convert;
this->points.push_back(convert(p));
}
rational_points.push_back(p);
}
this->init();
}
Rational_point rpoint(PointID const& i) const
{
if constexpr (std::is_same_v<Input_point, Rational_point>)
{
CGAL_assertion(rational_points.size() > i);
return rational_points[i];
}
else
return exact(rational_points[i]);
}
const Rational_traits& rational_traits() const { return rational_traits_; }
Rational_traits rational_traits_;
std::vector<Input_point> rational_points;
};
template <typename T>
class Curve<T, false>
{
public:
using Traits = T;
static constexpr int dimension = Traits::Dimension::value;
using Bbox = typename Traits::Bbox_d;
using FT = typename Traits::FT;
using IFT = std::conditional_t<std::is_floating_point_v<FT>, FT, CGAL::Interval_nt<false>>;
using distance_t = FT;
using Point = typename Traits::Point_d;
using Construct_bbox = typename Traits::Construct_bbox_d;
using Construct_cartesian_const_iterator_d = typename Traits::Construct_cartesian_const_iterator_d;
using PointID = ID<Point>;
using Points = std::vector<Point>;
using InputPoints = std::vector<Point>;
Curve() = default;
void init()
{
if (points.empty()) return;
prefix_length.resize(points.size());
prefix_length[0] = 0;
Construct_bbox bbox = traits_.construct_bbox_d_object();
extreme_points = bbox(point(0));
for (PointID i = 1; i < points.size(); ++i)
{
IFT segment_distance = distance(point(i - 1), point(i), traits_);
prefix_length[i] = prefix_length[i - 1] + segment_distance;
extreme_points += bbox(point(i));
}
}
/*
K Has_filtered_predicates is_floating_point(K::FT) store input
Epick Y Y N as we can do to_double of interval
Epeck Y N Y as we later need exact
SC<double> N Y N as we can do to_double of interval
SC<Rational> N N Y as we later need exact
SC<Interval_nt> N N Y to simplify life
SC<Expr> N N Y as we later need exact
== Epeck_with_sqrt
*/
template <class PointRange>
Curve(const PointRange& point_range, const Traits& traits = Traits())
: points(point_range.begin(), point_range.end())
, traits_(traits)
{
init();
}
// Curve(const Points& points);
void reserve(std::size_t n) { points.reserve(n); }
std::size_t size() const { return points.size(); }
bool empty() const { return points.empty(); }
Point const& operator[](PointID const& i) const { CGAL_assertion(i<points.size()); return points[i]; }
Point const& point(PointID const& i) const { return points[i]; }
bool operator==(Curve const& other) const
{
return std::equal(points.cbegin(), points.cend(), other.points.cbegin(),
other.points.cend());
}
bool operator!=(Curve const& other) const { return !(*this == other); }
private:
// private as it will do nasty things if p is a temporary
template <class P>
static auto begin(const P& p, const Traits& traits,
std::enable_if_t<!std::is_same_v<P,std::array<FT,dimension>>>* = nullptr)
{
Construct_cartesian_const_iterator_d ccci = traits.construct_cartesian_const_iterator_d_object();
return ccci(p);
}
static auto begin(const std::array<FT,dimension>& p, const Traits&)
{
return p.begin();
}
public:
template <class P1, class P2>
static IFT squared_distance(P1 const& p, P2 const& q, const Traits& traits)
{
IFT res(0);
auto itp = begin(p, traits);
auto itq = begin(q, traits);
for (int d=0;d<Traits::Dimension::value; ++d)
{
res+=square(to_ift(*itp)-to_ift(*itq));
++itp; ++itq;
}
return res;
}
template <class P1, class P2>
static IFT distance(P1 const& p, P2 const& q, const Traits& traits)
{
return sqrt(squared_distance(p,q, traits));
}
static IFT to_ift(const FT& n)
{
if constexpr(std::is_floating_point_v<FT>)
{
return n;
}
else
{
return IFT(to_interval(n));
}
}
static auto inf(const IFT& n)
{
if constexpr(std::is_floating_point_v<FT>)
{
return n;
}
else
{
return n.inf();
}
}
template <class P>
std::array<FT,dimension> interpolate_at(P const& pt) const
{
std::array<distance_t, dimension> b_coords;
// assert(pt.getFraction() >= Lambda<Self>(0) &&
// pt.getFraction() <= Lambda<Self>(1));
assert((
pt.getPoint() < points.size() - 1 ||
(pt.getPoint() == points.size() - 1 &&
// is_zero(pt.getFraction()))));
pt.getFraction()==0)));
Construct_cartesian_const_iterator_d ccci = traits_.construct_cartesian_const_iterator_d_object();
auto itp = ccci(point(pt.getPoint()));
// if (is_zero(pt.getFraction())) {
if (pt.getFraction()==0) {
for (int d=0; d<dimension; ++d)
b_coords[d] = *itp++;
return b_coords;
}
auto fraction = pt.getFraction().approx;
distance_t one_m_f = distance_t(1) - fraction;
auto itq = ccci(point(pt.getPoint()+1));
for (int d=0; d<dimension; ++d)
b_coords[d] = one_m_f * (*itp++) + (*itq++) * fraction;
return b_coords;
}
Point interpolate_at(PointID const& pt) const { return point(pt); }
IFT curve_length(PointID const& i, PointID const& j) const
{
CGAL_assertion(i>=0 && i<prefix_length.size());
CGAL_assertion(j>=0 && j<prefix_length.size());
return prefix_length[j] - prefix_length[i];
}
Point const& front() const { return points.front(); }
Point const& back() const { return points.back(); }
void push_back(Point const& point)
{
if (prefix_length.empty()) {
prefix_length.push_back(0);
} else {
auto segment_distance = distance(points.back(), point);
prefix_length.push_back(prefix_length.back() + segment_distance);
}
Construct_bbox bbox = traits_.construct_bbox_d_object();
if (points.empty()){
extreme_points = bbox(point);
} else {
extreme_points += bbox(point);
}
points.push_back(point);
}
typename Points::const_iterator begin() { return points.begin(); }
typename Points::const_iterator end() { return points.end(); }
typename Points::const_iterator begin() const { return points.cbegin(); }
typename Points::const_iterator end() const { return points.cend(); }
Bbox const& bbox() const { return extreme_points; }
double getUpperBoundDistance(Curve const& other) const
{
Bbox bb = this->bbox() + other.bbox();
return length_of_diagonal(bb);
}
const Traits& traits() const
{
return traits_;
}
protected:
Points points;
std::vector<IFT> prefix_length;
Bbox extreme_points;
Traits traits_;
};
template<typename K>
std::ostream& operator<<(std::ostream& out, const Curve<K>& curve)
{
out << "[";
for (auto const& point : curve) {
out << point << ", ";
}
out << "]";
return out;
}
} } } // namespace CGAL::Frechet_distance::internal
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_CURVE_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_FILTER_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_FILTER_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Frechet_distance/internal/Certificate.h>
#include <CGAL/Frechet_distance/internal/Curve.h>
#include <CGAL/Frechet_distance/internal/geometry_basics.h>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
// TODO: we can use Cartesian_converter here when we have one-sided approximate
// decisions
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a
*/
template <typename K>
class Filter
{
private:
using distance_t = typename K::distance_t;
using PointID = typename K::PointID;
using Point = typename K::Point;
using Certificate = CGAL::Frechet_distance::internal::Certificate<K>;
using Curve = K;
using CPoint = CGAL::Frechet_distance::internal::CPoint<K>;
Certificate cert;
const Curve *curve1_pt, *curve2_pt;
typename Curve::IFT distance;
public:
Filter(const Curve& curve1, const Curve& curve2, typename Curve::IFT const& distance)
: curve1_pt(&curve1), curve2_pt(&curve2), distance(distance)
{
cert.setCurves(&curve1, &curve2);
cert.setDistance(distance);
}
Certificate const& getCertificate() { return cert; };
bool bichromaticFarthestDistance();
bool greedy();
bool adaptiveGreedy(PointID& pos1, PointID& pos2);
bool adaptiveSimultaneousGreedy();
bool negative(PointID pos1, PointID pos2);
private:
bool isPointTooFarFromCurve(Point const& fixed, const Curve& curve);
bool isFree(Point const& fixed, Curve const& var_curve,
PointID start, PointID end);
bool isFree(Curve const& curve1, PointID start1, PointID end1,
Curve const& curve2, PointID start2, PointID end2);
void increase(size_t& step);
void decrease(size_t& step);
};
template <typename K>
bool Filter<K>::isPointTooFarFromCurve(Point const& fixed, const Curve& curve)
{
if (possibly(Curve::distance(fixed, curve.front(), curve.traits()) <= distance) || // Uncertain (A)
possibly(Curve::distance(fixed, curve.back(), curve.traits()) <= distance)) {
return false;
}
std::size_t stepsize = 1;
for (PointID pt = 0; pt < curve.size() - 1;) {
stepsize = std::min<std::size_t>(stepsize, curve.size() - 1 - pt);
auto mid = pt + (stepsize + 1) / 2;
auto mid_dist = Curve::distance(fixed, curve[mid], curve.traits());
auto maxdist = (CGAL::max)(curve.curve_length(pt, mid),
curve.curve_length(mid, pt + stepsize));
auto comp_dist = distance + maxdist;
if (certainly(mid_dist > comp_dist)) { // Uncertain (A)
pt += stepsize;
stepsize *= 2;
} else if (stepsize > 1) {
stepsize /= 2;
} else {
return false;
}
}
return true;
}
template <typename K>
bool Filter<K>::isFree(Point const& fixed, Curve const& var_curve, PointID start,
PointID end)
{
auto mid = (start + end + 1) / 2;
auto max = (CGAL::max)(var_curve.curve_length(start + 1, mid),
var_curve.curve_length(mid, end));
if (certainly(distance > max)){
auto mid_dist = Curve::distance(fixed, var_curve[mid], var_curve.traits());
if(certainly(mid_dist <= distance - max)) { // Uncertain (A)
return true;
}
}
return false;
}
template <typename K>
bool Filter<K>::isFree(Curve const& curve1, PointID start1, PointID end1,
Curve const& curve2, PointID start2, PointID end2)
{
auto mid1 = (start1 + end1 + 1) / 2;
auto mid2 = (start2 + end2 + 1) / 2;
auto max1 = (CGAL::max)(curve1.curve_length(start1 + 1, mid1),
curve1.curve_length(mid1, end1));
auto max2 = (CGAL::max)(curve2.curve_length(start2 + 1, mid2),
curve2.curve_length(mid2, end2));
auto mid_dist = Curve::distance(curve1[mid1], curve2[mid2], curve1.traits());
// auto comp_dist = distance - max1 - max2; // TODO: understand why if we use auto with gmpxx we get a use after free with the sanitizer (expression template I guess but why)
typename Curve::IFT comp_dist = distance - max1 - max2;
return certainly(! is_negative(comp_dist)) && certainly(mid_dist <= comp_dist); // Uncertain (A)
}
template <typename K>
void Filter<K>::increase(size_t& step) { step = static_cast<size_t>(std::ceil(1.5 * step)); }
template <typename K>
void Filter<K>::decrease(size_t& step) { step /= 2; }
// TODO: is it better to use #ifdef CERTIFY blocks here to avoid constructing
// CPosition objects?
// Also, calls to cert.XXX() seem to do unnecessary work right now
// uncritical, but could be optimized
template <typename K>
bool Filter<K>::bichromaticFarthestDistance()
{
cert.reset();
auto& curve1 = *curve1_pt;
auto& curve2 = *curve2_pt;
auto const& bbox1 = curve1.bbox();
auto const& bbox2 = curve2.bbox();
// Computes the furthest pair of points in pair of bounding boxes:
// This can be computed coordinate wise due to the symmetry of the boxes.
typename Curve::IFT squared_max_dist = 0;
for (int i = 0; i < K::dimension; ++i) {
auto d1 = CGAL::square(typename Curve::IFT((bbox1.max)(i)) - typename Curve::IFT((bbox2.min)(i)));
auto d2 = CGAL::square(typename Curve::IFT((bbox2.max)(i)) - typename Curve::IFT((bbox1.min)(i)));
squared_max_dist += (CGAL::max)(d1, d2);
}
if (certainly(sqrt(squared_max_dist) <= distance)) {
cert.setAnswer(true);
cert.addPoint({CPoint(0, 0), CPoint(0, 0)});
if (curve2.size() > 1) {
cert.addPoint({CPoint(curve1.size() - 1, 0), CPoint(0, 0)});
}
cert.addPoint(
{CPoint(curve1.size() - 1, 0), CPoint(curve2.size() - 1, 0)});
cert.validate();
return true;
}
return false;
}
template <typename K>
bool Filter<K>::greedy()
{
cert.reset();
auto& curve1 = *curve1_pt;
auto& curve2 = *curve2_pt;
PointID pos1 = 0;
PointID pos2 = 0;
if (possibly(Curve::distance(curve1[0], curve2[0], curve1.traits()) > distance) || // Uncertain (A)
possibly(Curve::distance(curve1.back(), curve2.back(), curve1.traits()) > distance)) {
return false;
}
auto d_ = Curve::distance(curve1.back(), curve2.back(), curve1.traits());
// Note that we only exit this loop if we reached the endpoints, which were
// already checked to be close.
while (pos1 + pos2 < curve1.size() + curve2.size() - 2) {
d_ =
(CGAL::max)(d_, Curve::distance(curve1[pos1], curve2[pos2], curve1.traits()));
if (possibly(d_ > distance)) { // Uncertain (A)
return false;
}
if (curve1.size() - 1 == pos1) {
++pos2;
} else if (curve2.size() - 1 == pos2) {
++pos1;
} else {
auto dist1 = Curve::squared_distance(curve1[pos1 + 1], curve2[pos2], curve1.traits());
auto dist2 = Curve::squared_distance(curve1[pos1], curve2[pos2 + 1], curve1.traits());
auto dist12 = Curve::squared_distance(curve1[pos1 + 1], curve2[pos2 + 1], curve1.traits());
if (possibly(dist1 < dist2) && possibly(dist1 < dist12)) { // Uncertain (A)
++pos1;
} else if (possibly(dist2 < dist12)) { // Uncertain (A)
++pos2;
} else {
++pos1;
++pos2;
}
}
}
return true;
}
template <typename K>
bool Filter<K>::adaptiveGreedy(PointID& pos1, PointID& pos2)
{
cert.reset();
auto& curve1 = *curve1_pt;
auto& curve2 = *curve2_pt;
// PointID pos1 = 0;
// PointID pos2 = 0;
pos1 = 0;
pos2 = 0;
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
if (possibly(Curve::distance(curve1[0], curve2[0], curve1.traits()) > distance) || // Uncertain (A)
possibly(Curve::distance(curve1.back(), curve2.back(), curve1.traits()) > distance)) {
return false;
}
std::size_t step = (std::max)(curve1.size(), curve2.size());
while (pos1 + pos2 < curve1.size() + curve2.size() - 2) {
//++numSteps;
// if we have to do the step on curve 2
if (curve1.size() - 1 == pos1) {
auto new_pos2 =
std::min<typename PointID::IDType>(pos2 + step, curve2.size() - 1);
if (isFree(curve1[pos1], curve2, pos2, new_pos2)) {
pos2 = new_pos2;
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
// step *= 2;
increase(step);
} else if (step == 1) {
return false;
} else {
decrease(step);
}
}
// if we have to do the step on curve 1
else if (curve2.size() - 1 == pos2) {
auto new_pos1 =
std::min<typename PointID::IDType>(pos1 + step, curve1.size() - 1);
if (isFree(curve2[pos2], curve1, pos1, new_pos1)) {
pos1 = new_pos1;
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
// step *= 2;
increase(step);
} else if (step == 1) {
return false;
} else {
decrease(step);
}
}
// if we cannot reduce the step size
else if (step == 1) {
auto dist1 = Curve::distance(curve1[pos1 + 1], curve2[pos2], curve1.traits());
auto dist2 = Curve::distance(curve1[pos1], curve2[pos2 + 1], curve1.traits());
auto dist12 = Curve::distance(curve1[pos1 + 1], curve2[pos2 + 1], curve1.traits());
if (certainly(dist1 <= distance) && possibly(dist1 < dist2) && possibly(dist1 < dist12)) { // Uncertain (A)
++pos1;
} else if (certainly(dist2 <= distance) && possibly(dist2 < dist12)) {
++pos2;
} else if (certainly(dist12 <= distance)) {
++pos1;
++pos2;
} else {
return false;
}
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
step = 2;
} else {
auto new_pos1 =
std::min<typename PointID::IDType>(pos1 + step, curve1.size() - 1);
auto new_pos2 =
std::min<typename PointID::IDType>(pos2 + step, curve2.size() - 1);
bool step1_possible =
isFree(curve2[pos2], curve1, pos1, new_pos1);
bool step2_possible =
isFree(curve1[pos1], curve2, pos2, new_pos2);
if (step1_possible && step2_possible) {
auto dist_after_step1 =
Curve::squared_distance(curve1[new_pos1], curve2[pos2], curve1.traits());
auto dist_after_step2 =
Curve::squared_distance(curve1[pos1], curve2[new_pos2], curve1.traits());
if (possibly(dist_after_step1 <= dist_after_step2)) {
pos1 = new_pos1;
} else {
pos2 = new_pos2;
}
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
// step *= 2;
increase(step);
} else if (step1_possible) {
pos1 = new_pos1;
// for some reason, not increasing the stepsize here is slightly
// faster step *= 2; increase(step);
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
} else if (step2_possible) {
pos2 = new_pos2;
// for some reason, not increasing the stepsize here is slightly
// faster step *= 2; increase(step);
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
} else {
decrease(step);
}
}
}
cert.setAnswer(true);
cert.validate();
return true;
}
template <typename K>
bool Filter<K>::adaptiveSimultaneousGreedy()
{
cert.reset();
auto& curve1 = *curve1_pt;
auto& curve2 = *curve2_pt;
PointID pos1 = 0;
PointID pos2 = 0;
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
if (possibly(Curve::distance(curve1[0], curve2[0], curve1.traits()) > distance) || // Uncertain (A)
possibly(Curve::distance(curve1.back(), curve2.back(), curve1.traits()) > distance)) {
return false;
}
std::size_t step = (std::max)(curve1.size(), curve2.size());
while (pos1 + pos2 < curve1.size() + curve2.size() - 2) {
// if we have to do the step on curve 2
if (curve1.size() - 1 == pos1) {
auto new_pos2 =
(std::min<typename PointID::IDType>)(pos2 + step, curve2.size() - 1);
if (isFree(curve1[pos1], curve2, pos2, new_pos2)) {
pos2 = new_pos2;
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
// step *= 2;
increase(step);
} else if (step == 1) {
return false;
} else {
decrease(step);
}
}
// if we have to do the step on curve 1
else if (curve2.size() - 1 == pos2) {
auto new_pos1 =
(std::min<typename PointID::IDType>)(pos1 + step, curve1.size() - 1);
if (isFree(curve2[pos2], curve1, pos1, new_pos1)) {
pos1 = new_pos1;
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
// step *= 2;
increase(step);
} else if (step == 1) {
return false;
} else {
decrease(step);
}
}
// if we cannot reduce the step size
else if (step == 1) {
auto dist1 = Curve::distance(curve1[pos1 + 1], curve2[pos2], curve1.traits());
auto dist2 = Curve::distance(curve1[pos1], curve2[pos2 + 1], curve1.traits());
auto dist12 = Curve::distance(curve1[pos1 + 1], curve2[pos2 + 1], curve1.traits());
if (certainly(dist1 <= distance) && possibly(dist1 < dist2) && possibly(dist1 < dist12)) { // Uncertain (A)
++pos1;
} else if (certainly(dist2 <= distance) && possibly(dist2 < dist12)) {
++pos2;
} else if (certainly(dist12 <= distance)) {
++pos1;
++pos2;
} else {
return false;
}
cert.addPoint({CPoint(pos1, 0), CPoint(pos2, 0)});
step = 2;
} else {
PointID new_pos1 =
std::min<typename PointID::IDType>(pos1 + step, curve1.size() - 1);
size_t step2 =
(step * (curve2.size() - pos2)) / (curve1.size() - pos1);
if (step2 < 1) {
step2 = 1;
}
PointID new_pos2 =
std::min<typename PointID::IDType>(pos2 + step2, curve2.size() - 1);
if (isFree(curve1, pos1, new_pos1, curve2, pos2, new_pos2)) {
if (pos1 != new_pos1 && pos2 != new_pos2) {
cert.addPoint({CPoint(pos1 + 1, 0), CPoint(pos2 + 1, 0)});
}
if (new_pos1 > pos1 + 1) {
cert.addPoint({CPoint(new_pos1, 0), CPoint(pos2 + 1, 0)});
}
if (new_pos2 > pos2 + 1) {
cert.addPoint({CPoint(new_pos1, 0), CPoint(new_pos2, 0)});
}
pos1 = new_pos1;
pos2 = new_pos2;
increase(step);
} else {
decrease(step);
}
}
}
cert.setAnswer(true);
cert.validate();
return true;
}
template <typename K>
bool Filter<K>::negative(PointID position1, PointID position2)
{
cert.reset();
auto& curve1 = *curve1_pt;
auto& curve2 = *curve2_pt;
if (certainly(Curve::distance(curve1[0], curve2[0], curve1.traits()) > distance) || // Uncertain (A)
certainly(Curve::distance(curve1.back(), curve2.back(), curve1.traits()) > distance)) {
return true;
}
size_t pos1 = position1;
size_t pos2 = position2;
for (size_t step = 1; pos1 + step <= curve1.size(); increase(step)) {
size_t cur_pos1 = pos1 + step - 1;
if (isPointTooFarFromCurve(curve1[cur_pos1], curve2)) {
cert.setAnswer(false);
cert.addPoint({CPoint(cur_pos1, 0), CPoint(0, 0)});
cert.addPoint(
{CPoint(cur_pos1, 0), CPoint(curve2.size() - 1, 0)});
cert.validate();
return true;
}
}
for (size_t step = 1; pos2 + step <= curve2.size(); increase(step)) {
size_t cur_pos2 = pos2 + step - 1;
if (isPointTooFarFromCurve(curve2[cur_pos2], curve1)) {
cert.setAnswer(false);
cert.addPoint(
{CPoint(curve1.size() - 1, 0), CPoint(cur_pos2, 0)});
cert.addPoint({CPoint(0, 0), CPoint(cur_pos2, 0)});
cert.validate();
return true;
}
}
return false;
}
} // namespace internal
} // namespace Frechet_distance_
} // namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_FILTER_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_CLASSICAL_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_CLASSICAL_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Frechet_distance/internal/Curve.h>
#include <CGAL/Frechet_distance/internal/geometry_basics.h>
#include <CGAL/Frechet_distance/internal/high_level_predicates.h>
#include <optional>
#include <vector>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
template <typename C>
class FrechetClassical
{
using Curve = C;
using distance_t = typename Curve::distance_t;
using Lambda = CGAL::Frechet_distance::internal::Lambda<C>;
public:
FrechetClassical() = default;
bool lessThan(distance_t const& distance, Curve const& curve1, Curve const& curve2);
std::pair<double,double> calcDistance(Curve const& curve1, Curve const& curve2, double epsilon);
};
template <typename C>
bool FrechetClassical<C>::lessThan(distance_t const& distance, Curve const& curve1,
Curve const& curve2)
{
using OptLambda = std::optional<Lambda>;
assert(curve1.size() >= 2);
assert(curve2.size() >= 2);
distance_t dist_sqr = distance * distance;
if (Curve::squared_distance(curve1[0], curve2[0], curve1.traits()) > dist_sqr ||
Curve::squared_distance(curve1.back(), curve2.back(), curve1.traits()) > dist_sqr) {
return false;
}
std::vector<std::vector<OptLambda>> reachable1(curve1.size()-1, std::vector<OptLambda>(curve2.size(), std::nullopt));
std::vector<std::vector<OptLambda>> reachable2(curve1.size(), std::vector<OptLambda>(curve2.size()-1, std::nullopt));
for (size_t i = 0; i < curve1.size() - 1; ++i) {
reachable1[i][0] = 0.;
if (Curve::squared_distance(curve2[0], curve1[i+1], curve1.traits()) > dist_sqr) { break; }
}
for (size_t j = 0; j < curve2.size() - 1; ++j) {
reachable2[0][j] = 0.;
if (Curve::squared_distance(curve1[0], curve2[j+1], curve1.traits()) > dist_sqr) { break; }
}
for (size_t i = 0; i < curve1.size(); ++i) {
for (size_t j = 0; j < curve2.size(); ++j) {
if (i < curve1.size() - 1 && j > 0) {
auto free_int = HLPred::intersection_interval(curve2, j, curve1, i, distance);
if (!free_int.is_empty()) {
if (reachable2[i][j-1]) {
reachable1[i][j] = free_int.begin;
}
else if (reachable1[i][j-1] && reachable1[i][j-1] <= free_int.end) {
reachable1[i][j] = CGAL::max(free_int.begin, reachable1[i][j-1].value());
}
}
}
if (j < curve2.size() - 1 && i > 0) {
auto free_int = HLPred::intersection_interval(curve1, i, curve2, j, distance);
if (!free_int.is_empty()) {
if (reachable1[i-1][j]) {
reachable2[i][j] = free_int.begin;
}
else if (reachable2[i-1][j] && reachable2[i-1][j] <= free_int.end) {
reachable2[i][j] = CGAL::max(free_int.begin, reachable2[i-1][j].value());
}
}
}
}
}
assert(reachable1.back().back().has_value() == reachable2.back().back().has_value());
return reachable1.back().back().has_value();
}
template <typename C>
std::pair<double,double> FrechetClassical<C>::calcDistance(Curve const& curve1, Curve const& curve2, double epsilon)
{
double min = 0.;
double max = curve1.getUpperBoundDistance(curve2);
while (max - min >= epsilon) {
auto split = (max + min)/2.;
if (lessThan(split, curve1, curve2)) {
max = split;
}
else {
min = split;
}
}
return std::make_pair(min, max);
}
} // namespace internal
} // namespace Frechet_distance_
} // namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_CLASSICAL_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_INTERNAL_FRECHET_DISTANCE_FRECHET_DISTANCE_H
#define CGAL_INTERNAL_FRECHET_DISTANCE_FRECHET_DISTANCE_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Frechet_distance/internal/Curve.h>
#include <CGAL/Frechet_distance/internal/Frechet_light.h>
#include <CGAL/Frechet_distance/internal/geometry_basics.h>
#include <CGAL/Frechet_distance/internal/Frechet_distance_traits.h>
#include <CGAL/STL_Extension/internal/Has_nested_type_Has_filtered_predicates_tag.h>
#include <CGAL/Frechet_distance_traits_2.h>
#include <CGAL/Frechet_distance_traits_3.h>
#include <CGAL/Frechet_distance_traits_d.h>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Exact_rational.h>
#include <CGAL/Interval_nt.h>
#include <CGAL/Lazy.h>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
template <class K, bool hfp = ::CGAL::internal::Has_nested_type_Has_filtered_predicates_tag<K>::value>
struct Is_filtered_kernel
{
static constexpr bool value = K::Has_filtered_predicates_tag::value;
};
template <class K>
struct Is_filtered_kernel<K,false>
{
static constexpr bool value = false;
};
template <bool force_filtering, class PointRange, class Traits>
auto toCurve(const PointRange& point_range, const Traits& traits)
{
using IPoint = typename Traits::Point_d;
if constexpr (Is_filtered_kernel<typename Kernel_traits<IPoint>::Kernel>::value)
{
if constexpr (std::is_floating_point_v<typename Traits::FT>)
{
if constexpr (Traits::Dimension::value==2)
{
using AK = CGAL::Simple_cartesian<Interval_nt_advanced>;
using EK = CGAL::Simple_cartesian<Exact_rational>;
using Filtered_traits = std::pair<Frechet_distance_traits_2<AK>, Frechet_distance_traits_2<EK>>;
return Curve<Filtered_traits, true>(point_range, traits);
}
else if constexpr (Traits::Dimension::value==3)
{
using AK = CGAL::Simple_cartesian<Interval_nt_advanced>;
using EK = CGAL::Simple_cartesian<Exact_rational>;
using Filtered_traits = std::pair<Frechet_distance_traits_3<AK>, Frechet_distance_traits_3<EK>>;
return Curve<Filtered_traits, true>(point_range, traits);
}
else
{
using AT = Frechet_distance::internal::Frechet_distance_traits<CGAL::Interval_nt_advanced, Traits::Dimension::value>;
using ET = Frechet_distance::internal::Frechet_distance_traits<CGAL::Exact_rational, Traits::Dimension::value>;
using Filtered_traits = std::pair<AT,ET>;
return Curve<Filtered_traits, true>(point_range, traits);
}
}
else
{
if constexpr (Traits::Dimension::value==2)
{
using AK = CGAL::Simple_cartesian<Interval_nt_advanced>;
using EK = typename Kernel_traits<typename Traits::Point_d>::Kernel::Exact_kernel;
using Filtered_traits = std::tuple<typename Traits::Point_d, Frechet_distance_traits_2<AK>, Frechet_distance_traits_2<EK>>;
return Curve<Filtered_traits, true>(point_range, traits);
}
else if constexpr (Traits::Dimension::value==3)
{
using AK = CGAL::Simple_cartesian<Interval_nt_advanced>;
using EK = typename Kernel_traits<typename Traits::Point_d>::Kernel::Exact_kernel;
using Filtered_traits = std::tuple<typename Traits::Point_d, Frechet_distance_traits_3<AK>, Frechet_distance_traits_3<EK>>;
return Curve<Filtered_traits, true>(point_range, traits);
}
else
{
using AT = Frechet_distance::internal::Frechet_distance_traits<CGAL::Interval_nt_advanced, Traits::Dimension::value>;
using ET = Traits;
using Filtered_traits = std::tuple<typename Traits::Point_d,AT,ET>;
return Curve<Filtered_traits, true>(point_range, traits);
}
}
}
else
{
if constexpr (force_filtering)
{
if constexpr (std::is_floating_point_v<typename Traits::FT>)
{
if constexpr (Traits::Dimension::value==2)
{
using AT = Frechet_distance_traits_2<Simple_cartesian<Interval_nt_advanced>>;
using ET = Frechet_distance_traits_2<Simple_cartesian<Exact_rational>>;
using Filtered_traits = std::pair<AT,ET>;
return Curve<Filtered_traits, true>(point_range, traits);
}
else if constexpr (Traits::Dimension::value==3)
{
using AT = Frechet_distance_traits_3<Simple_cartesian<Interval_nt_advanced>>;
using ET = Frechet_distance_traits_3<Simple_cartesian<Exact_rational>>;
using Filtered_traits = std::pair<AT,ET>;
return Curve<Filtered_traits, true>(point_range, traits);
}
else
{
using AT = Frechet_distance::internal::Frechet_distance_traits<CGAL::Interval_nt_advanced, Traits::Dimension::value>;
using ET = Frechet_distance::internal::Frechet_distance_traits<CGAL::Exact_rational, Traits::Dimension::value>;
using Filtered_traits = std::pair<AT,ET>;
return Curve<Filtered_traits, true>(point_range, traits);
}
}
else
{
if constexpr (Traits::Dimension::value==2)
{
using AT = Frechet_distance_traits_2<Simple_cartesian<Interval_nt_advanced>>;
using ET = Traits;
using Filtered_traits = std::tuple<typename ET::Point_d,AT,ET>;
return Curve<Filtered_traits, true>(point_range, traits, traits);
}
else if constexpr (Traits::Dimension::value==3)
{
using AT = Frechet_distance_traits_3<Simple_cartesian<Interval_nt_advanced>>;
using ET = Traits;
using Filtered_traits = std::tuple<typename ET::Point_d,AT,ET>;
return Curve<Filtered_traits, true>(point_range, traits, traits);
}
else
{
using AT = Frechet_distance::internal::Frechet_distance_traits<CGAL::Interval_nt_advanced, Traits::Dimension::value>;
using ET = Traits;
using Filtered_traits = std::tuple<typename Traits::Point_d,AT,ET>;
return Curve<Filtered_traits, true>(point_range, traits);
}
}
}
else
return Curve<Traits, false>(point_range, traits);
}
}
template <class Traits, bool is_filtered>
bool lessThan(Curve<Traits, is_filtered> const& curve1, Curve<Traits, is_filtered> const& curve2,
const typename Curve<Traits, is_filtered>::distance_t& distance /*, const Traits& traits */)
{
FrechetLight<Curve<Traits, is_filtered>> frechet;
return frechet.lessThanWithFilters(distance, curve1, curve2);
}
template <typename Traits, bool is_filtered>
std::pair<double,double> calcDistance(Curve<Traits, is_filtered> const& curve1,
Curve<Traits, is_filtered> const& curve2,
double precision)
{
FrechetLight<Curve<Traits, is_filtered>> frechet;
return frechet.calcDistance(curve1, curve2, precision);
}
} } } // end of namespace CGAL::Frechet_distance::internal
#endif // CGAL_INTERNAL_FRECHET_DISTANCE_FRECHET_DISTANCE_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_DISTANCE_TRAITS_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_DISTANCE_TRAITS_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Bbox_d.h>
#include <array>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
template <class NT, int dimension>
class Frechet_distance_traits
{
public:
using Dimension = Dimension_tag<dimension>;
using FT = NT;
using Point_d = std::array<FT, dimension>;
using Bbox_d = CGAL::Bbox_d<Dimension>;
using Cartesian_const_iterator_d = typename Point_d::const_iterator;
struct Construct_bbox_d
{
Bbox_d operator()(const Point_d& p) const
{
Bbox_d bb;
for (int i=0;i<dimension; ++i)
{
(bb.min)(i)=to_interval(p[i]).first;
(bb.max)(i)=to_interval(p[i]).second;
}
return bb;
}
};
struct Construct_cartesian_const_iterator_d
{
Cartesian_const_iterator_d operator()(const Point_d& p) const
{
return p.begin();
}
Cartesian_const_iterator_d operator()(const Point_d& p, int) const
{
return p.end();
}
};
Construct_bbox_d construct_bbox_d_object() const { return Construct_bbox_d(); }
Construct_cartesian_const_iterator_d construct_cartesian_const_iterator_d_object() const
{
return Construct_cartesian_const_iterator_d();
}
};
}
}
} // end of namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_DISTANCE_TRAITS_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_LIGHT_TYPES_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_LIGHT_TYPES_H
#include <CGAL/license/Frechet_distance.h>
#include <vector>
#include <CGAL/Frechet_distance/internal/Curve.h>
#include <CGAL/Frechet_distance/internal/geometry_basics.h>
#include <CGAL/Frechet_distance/internal/Id.h>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
//
// Box
//
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a
*/
template <typename K>
struct Box {
using PointID = typename K::PointID;
PointID min1;
PointID max1;
PointID min2;
PointID max2;
Box(PointID min1, PointID max1, PointID min2, PointID max2)
: min1(min1), max1(max1), min2(min2), max2(max2)
{
}
bool isCell() const { return max1 - min1 == 1 && max2 - min2 == 1; }
};
template <typename K>
using Boxes = std::vector<Box<K>>;
//
// Inputs
//
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a
*/
template <typename K>
struct Inputs {
using PointID = typename K::PointID;
typename CIntervals<K>::iterator begin1;
typename CIntervals<K>::iterator end1;
typename CIntervals<K>::iterator begin2;
typename CIntervals<K>::iterator end2;
bool haveDownInput() const { return begin1 != end1; }
bool haveLeftInput() const { return begin2 != end2; }
bool downContains(PointID point_id) const
{
for (auto it = begin1; it != end1; ++it) {
if (it->begin <= point_id && it->end >= point_id) {
return true;
}
}
return false;
}
bool leftContains(PointID point_id) const
{
for (auto it = begin2; it != end2; ++it) {
if (it->begin <= point_id && it->end >= point_id) {
return true;
}
}
return false;
}
};
//
// Outputs
//
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a
*/
template <typename K>
struct Outputs {
CIntervalsID<K> id1;
CIntervalsID<K> id2;
};
//
// QSimpleInterval
//
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a
*/
template <typename K>
struct QSimpleInterval {
using PointID = typename K::PointID;
using CPoint = CGAL::Frechet_distance::internal::CPoint<K>;
using CInterval = CGAL::Frechet_distance::internal::CInterval<K>;
QSimpleInterval() : valid(false) {}
QSimpleInterval(CPoint const& begin, CPoint const& end)
: valid(true), free_interval(begin, end)
{
}
void setFreeInterval(CPoint const& begin, CPoint const& end)
{
free_interval = {begin, end};
// valid = true;
}
void setFreeInterval(PointID begin, PointID end)
{
free_interval = {begin, 0, end, 0};
// valid = true;
}
void invalidateFreeInterval()
{
free_interval.begin = CPoint{};
free_interval.end = CPoint{};
}
CInterval const& getFreeInterval() { return free_interval; }
void setLastValidPoint(PointID const& point)
{
last_valid_point = point;
// valid = false;
}
PointID const& getLastValidPoint() const { return last_valid_point; }
bool hasPartialInformation() const { return last_valid_point.valid(); }
void validate() { valid = true; }
void invalidate() { valid = false; }
void clamp(CPoint const& min, CPoint const& max) { free_interval.clamp(min, max); }
bool is_empty() const { return free_interval.is_empty(); }
bool is_valid() const { return valid; }
private:
bool valid;
CInterval free_interval;
PointID last_valid_point;
};
template <typename K>
using QSimpleIntervals = std::vector<QSimpleInterval<K>>;
template <typename K>
using QSimpleID = ID<QSimpleInterval<K>>;
//
// QSimpleOutputs
//
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a
*/
template <typename K>
struct QSimpleOutputs {
QSimpleID<K> id1;
QSimpleID<K> id2;
};
//
// BoxData
//
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a
*/
template <typename K>
struct BoxData {
Box<K> box;
Inputs<K> inputs;
Outputs<K> outputs;
QSimpleOutputs<K> qsimple_outputs;
};
} // namespace internal
} // namespace Frechet_distance_
} // namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_FRECHET_LIGHT_TYPES_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_ID_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_ID_H
#include <CGAL/license/Frechet_distance.h>
#include <cstdint>
#include <functional>
#include <limits>
namespace CGAL {
namespace Frechet_distance{
namespace internal {
// Typesafe ID class such that there are compiler errors if different IDs are
// mixed. The template parameter T is just there to assure this behavior.
// Additionally, we have a member function which can check for validity.
template <typename T>
struct ID {
public:
using IDType = std::size_t;
static constexpr IDType invalid_value = (std::numeric_limits<IDType>::max)();
ID(IDType id = invalid_value) : id(id) {}
operator IDType() const { return id; }
IDType operator+(ID<T> other) const { return id + other.id; }
IDType operator+(int offset) const { return id + offset; }
IDType operator+(size_t offset) const { return id + offset; }
IDType operator-(ID<T> other) const { return id - other.id; }
IDType operator-(int offset) const { return id - offset; }
IDType operator/(int div) const { return id / div; }
IDType operator+=(ID<T> other) { return id += other.id; }
IDType operator-=(ID<T> other) { return id -= other.id; }
// IDType operator=(ID<T> other) { return id = other.id; }
IDType operator++() { return ++id; }
IDType operator--() { return --id; }
// FIXME:
// bool operator==(ID<T> other) const { return id == other.id; }
// bool operator==(IDType other) const { return id == other; }
bool operator!=(ID<T> other) const { return id != other.id; }
bool valid() const { return id != invalid_value; }
void invalidate() { id = invalid_value; }
private:
IDType id;
};
} // namespace internal
} // namespace Frechet_distance_
} // namespace CGAL
// define custom hash function to be able to use IDs with maps/sets
namespace std
{
template <typename T>
struct hash<CGAL::Frechet_distance::internal::ID<T>> {
using IDType = typename CGAL::Frechet_distance::internal::ID<T>::IDType;
std::size_t operator()(CGAL::Frechet_distance::internal::ID<T> const& id) const noexcept
{
return std::hash<IDType>()(id);
}
};
} // namespace std
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_ID_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_NEIGHBOR_SEARCH_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_NEIGHBOR_SEARCH_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Dimension.h>
#include <CGAL/Kd_tree.h>
#include <CGAL/Kernel_d/Point_d.h>
#include <CGAL/Search_traits_adapter.h>
#include <CGAL/Search_traits_d.h>
#include <CGAL/Search_traits.h>
#include <CGAL/number_utils.h>
#include <CGAL/Bbox_d.h>
#include <array>
#include <iterator>
#include <tuple>
#include <vector>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
template <class Traits>
class FrechetKdTree
{
using PT = Traits; // model of FrechetDistanceTraits
using FT = typename PT::FT;
using Point = typename PT::Point_d;
using Cartesian_const_iterator = typename PT::Cartesian_const_iterator_d;
using Construct_cartesian_const_iterator = typename PT::Construct_cartesian_const_iterator_d;
using Compare_squared_distance = typename PT::Compare_squared_distance_d;
using Construct_bbox = typename PT::Construct_bbox_d;
using Polyline = std::vector<Point>;
using Polylines = std::vector<Polyline>;
using PolylineID = std::size_t;
using PolylineIDs = std::vector<PolylineID>;
static constexpr int dim = Traits::Dimension::value;
using D = Dimension_tag<4*dim>;
struct Point_d {
using BB = Bbox_d<Dimension_tag<dim>>;
Point ends[2];
std::vector<FT> bbox;
using PP = Concatenate_iterator<Cartesian_const_iterator, Cartesian_const_iterator>;
using Cartesian_const_iterator_d = Concatenate_iterator<PP, typename std::vector<FT>::const_iterator>;
Cartesian_const_iterator_d cartesian_begin() const
{
Construct_cartesian_const_iterator ccc;
PP ppb(ccc(ends[0],0), ccc(ends[1]), ccc(ends[0]));
PP ppe(ccc(ends[0],0), ccc(ends[1]), ccc(ends[1],0),0);
return Cartesian_const_iterator_d(ppe, bbox.begin(), ppb);
}
Cartesian_const_iterator_d cartesian_end() const
{
Construct_cartesian_const_iterator ccc;
PP ppe(ccc(ends[0],0), ccc(ends[1]), ccc(ends[1],0),0);
return Cartesian_const_iterator_d(ppe, bbox.begin(), bbox.end(), 0);
}
struct Construct_cartesian_const_iterator_d {
Cartesian_const_iterator_d operator()(const Point_d& p) const
{
return p.cartesian_begin();
}
Cartesian_const_iterator_d operator()(const Point_d& p, int) const
{
return p.cartesian_end();
}
};
};
using Tree_traits_base = Search_traits<FT, Point_d, typename Point_d::Cartesian_const_iterator_d, typename Point_d::Construct_cartesian_const_iterator_d, D>;
using Point_and_id = std::tuple<Point_d, std::size_t>;
using Tree_traits = CGAL::Search_traits_adapter<
Point_and_id, CGAL::Nth_of_tuple_property_map<0, Point_and_id>,
Tree_traits_base>;
using Tree = Kd_tree<Tree_traits>;
public:
FrechetKdTree() = default;
void insert(Polylines const& curves);
template <typename ConcurrencyTag>
void build()
{
kd_tree. template build<ConcurrencyTag>();
}
PolylineIDs search(Polyline const& curve, FT distance);
private:
Kd_tree<Tree_traits> kd_tree;
static Point_d to_kd_tree_point(const Polyline& curve);
class QueryItem
{
using D = FrechetKdTree::D;
using Point_d = FrechetKdTree::Point_d;
using Point_and_id = FrechetKdTree::Point_and_id;
// const Polyline& curve;
const Point_d p;
const FT distance;
const FT distance_sqr;
CGAL::Interval_nt<true> idistance;
public:
QueryItem(Polyline const& curve, FT distance)
: p(to_kd_tree_point(curve)),
distance(distance),
distance_sqr(distance * distance),
idistance(to_interval(distance)
)
{
}
bool contains(Point_and_id const& point) const
{
auto const& q = std::get<0>(point);
for (size_t i = 0; i < 2; ++i) {
const Point& a = p.ends[i];
const Point& b = q.ends[i];
// No need for interval arithmetic and certainlyL
// Will be correct for a filtered kernel as well as for a kernel with an exact number type
if (Compare_squared_distance()(a, b, distance_sqr) == LARGER) {
return false;
}
}
typename std::vector<FT>::const_iterator pb = p.bbox.cbegin();
typename std::vector<FT>::const_iterator qb = q.bbox.cbegin();
for (size_t i = 0; i < 2*dim; ++i, ++pb, ++qb) {
// AF: certainly
// AN: yes, here we need certainly!
CGAL::Interval_nt<true> ip = to_interval(*pb), iq = to_interval(*qb);
if (certainly(CGAL::abs(ip - iq) > idistance)) {
return false;
}
}
return true;
}
bool inner_range_intersects(const Kd_tree_rectangle<FT, D>& rect) const
{
typename Point_d::Cartesian_const_iterator_d pb = p.cartesian_begin();
for (int d = 0; d < D::value; ++d, ++pb) {
CGAL::Interval_nt<true> irmin = to_interval(rect.min_coord(d)), ip = to_interval(*pb), irmax = to_interval(rect.max_coord(d));
if (certainly( irmin> ip + idistance &&
irmax + idistance < ip)){
return false;
}
}
return true;
}
// AF: should that go in the traits class?
Point construct(const std::array<FT,dim>& coords) const
{
if constexpr (dim==2){ return Point(coords[0], coords[1]);}
else if constexpr (dim==3){ return Point(coords[0], coords[1], coords[2]);}
else { return Point(coords);}
}
// AN: here we cannot really do anything wrong; if we return false, we continue searching;
// if we return true, we return all points inside which is also fine as we check them later.
bool outer_range_contains(const Kd_tree_rectangle<FT, D>& rect) const
{
typename Point_d::Cartesian_const_iterator_d pb = p.cartesian_begin();
std::array<FT,dim> cornercoords;
{
const Point& point = p.ends[0];
for(size_t i = 0; i < dim; ++i, ++pb){
cornercoords[i] = ((rect.min_coord(i) + rect.max_coord(i))/2 > *pb) ?
rect.max_coord(i) : rect.min_coord(i);
}
Point corner = construct(cornercoords);
if (Compare_squared_distance()(corner, point,
distance_sqr) == LARGER) {
return false;
}
}
{
const Point& point = p.ends[1];
for(size_t i = 0; i < dim; ++i, ++pb){
cornercoords[i] = ((rect.min_coord(i+dim) + rect.max_coord(i+dim))/2 > *pb) ?
rect.max_coord(i+dim) : rect.min_coord(i+dim);
}
Point corner = construct(cornercoords);
if (Compare_squared_distance()(corner, point,
distance_sqr) == LARGER) {
return false;
}
}
// rect[2*dim : 4*dim] is contained in intersection rect (see notebook)
for (std::size_t i = 2*dim; i < 4*dim; ++i, ++pb) {
if (*pb - distance > rect.min_coord(i) ||
*pb + distance < rect.max_coord(i)) {
return false;
}
}
// AN: This has to be certainly!!
return true;
}
};
};
template <class Traits>
auto FrechetKdTree<Traits>::to_kd_tree_point(const Polyline& curve) -> Point_d
{
CGAL_precondition(!curve.empty());
Construct_bbox construct_bbox = Traits().construct_bbox_d_object(); // AF Do we have to pass a Traits object?
Point_d res;
res.ends[0] = curve.front();
res.ends[1] = curve.back();
Bbox_d<Dimension_tag<dim>> bb;
for (auto const& point : curve) {
Bbox_d<Dimension_tag<dim>> bbb = construct_bbox(point);
bb += bbb;
}
res.bbox.reserve(2*dim);
for(auto it = bb.cartesian_begin(); it != bb.cartesian_end(); ++it){
res.bbox.push_back(FT(*it));
}
CGAL_assertion(res.bbox.size() == 2*dim);
return res;
}
template <class Traits>
void FrechetKdTree<Traits>::insert(Polylines const& curves)
{
for (std::size_t id = 0; id < curves.size(); ++id) {
auto kd_tree_point = to_kd_tree_point(curves[id]);
kd_tree.insert(Point_and_id{kd_tree_point, id});
}
}
template <class Traits>
auto FrechetKdTree<Traits>::search(Polyline const& curve, FT distance)
-> PolylineIDs
{
// TODO: This is the best way I found to not copy the 8-dimensional point,
// but only the id. Is there an even better way?
// uncritical but style question Ask @SL
class back_insert_it
{
PolylineIDs* curve_ids;
public:
back_insert_it(PolylineIDs& curve_ids) : curve_ids(&curve_ids) {}
back_insert_it(back_insert_it& it) = default;
back_insert_it(back_insert_it&& it) = default;
back_insert_it& operator*() { return *this; }
back_insert_it& operator++() { return *this; }
back_insert_it& operator++(int) { return *this; }
back_insert_it& operator=(back_insert_it const& it) = default;
back_insert_it& operator=(const Point_and_id& point_and_id)
{
curve_ids->push_back(std::get<1>(point_and_id));
return *this;
}
};
PolylineIDs result;
kd_tree.search(back_insert_it(result), QueryItem(curve, distance));
return result;
}
} // namespace internal
} // namespace Frechet_distance
} // end of namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_NEIGHBOR_SEARCH_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_GEOMETRY_BASICS_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_GEOMETRY_BASICS_H
#include <CGAL/license/Frechet_distance.h>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <limits>
#include <vector>
#include <optional>
#include <CGAL/number_utils.h>
#include <CGAL/Root_of_traits.h>
#include <CGAL/Interval_nt.h>
#include <CGAL/Frechet_distance/internal/Id.h>
#include <CGAL/Frechet_distance/internal/Curve.h>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a value in the interval `[0,1]`....
*/
template<typename C>
struct Lambda;
// filtered version
template<typename FilteredTraits>
struct Lambda<Curve<FilteredTraits,true>>
{
using Curve = ::CGAL::Frechet_distance::internal::Curve<FilteredTraits,true>;
using C = Curve;
using distance_t = typename C::distance_t;
using Approx = distance_t;
using PointID = typename C::PointID;
using Rational = typename Curve::Rational;
using Exact = typename Root_of_traits<Rational>::Root_of_2;
mutable Approx approx;
mutable std::optional<Exact> exact;
const Curve * curve1 = nullptr;
PointID circle_center = -1;
const Curve * curve2 = nullptr;
PointID line_start=-1;
distance_t radius=0;
mutable bool is_zero, is_one, is_exact, is_start;
Lambda(int zero_one)
: approx(zero_one),
is_zero(zero_one == 0),
is_one(zero_one == 1),
is_exact(true),
is_start(false)
{
}
Lambda() : Lambda(0) {}
Lambda(const Approx& approx, const Curve& curve1, const PointID& circle_center,
const Curve& curve2, const PointID& line_start, const distance_t& radius, bool is_start)
: approx(approx),
curve1(&curve1),
circle_center(circle_center),
curve2(&curve2),
line_start(line_start),
radius(radius),
is_zero(false),
is_one(false),
is_exact(false),
is_start(is_start)
{
}
Lambda(const Exact& exact)
: approx(CGAL::to_interval(exact)),
exact(exact),
is_zero(CGAL::is_zero(exact)),
is_one(CGAL::is_one(exact)),
is_exact(true)
{}
Lambda(const Exact& exact, const Curve&, const PointID&,
const Curve&, const PointID&,
const distance_t&, bool)
: approx(CGAL::to_interval(exact)),
exact(exact),
is_zero(CGAL::is_zero(exact)),
is_one(CGAL::is_one(exact)),
is_exact(true)
{}
// fill_lambda returns a pair and we are only interested in a bound
bool update_exact() const
{
if (is_exact) {
return true;
}
const typename Curve::Rational_point& ls = curve2->rpoint(line_start);
const typename Curve::Rational_point& le = curve2->rpoint(line_start+1);
const typename Curve::Rational_point& cc = curve1->rpoint(circle_center);
auto ccci = curve1->rational_traits().construct_cartesian_const_iterator_d_object();
Rational a, b, c;
auto it_le=ccci(le), it_ls=ccci(ls), it_cc=ccci(cc);
for (auto i = 0; i < Curve::dimension; ++i) {
Rational start_end_diff = *it_le - *it_ls;
a += CGAL::square(start_end_diff);
Rational start_center_diff = *it_ls - *it_cc;
b -= start_center_diff * start_end_diff;
c += CGAL::square(start_center_diff);
++it_le; ++it_ls; ++it_cc;
}
CGAL_assertion(radius.is_point());
c -= CGAL::square(Rational(to_double(radius)));
CGAL_assertion(a!=0);
Rational minus_b_div_a = b / a;
Rational d = CGAL::square(minus_b_div_a) - c / a;
if (! is_negative(d)) {
if (is_start) {
Exact start = make_root_of_2(minus_b_div_a, -1, d);
if (is_negative(start)) start = Exact(0);
if (start <= Exact(1)) {
exact = std::make_optional(start);
approx = CGAL::to_interval(*exact);
is_exact = true;
return true;
}
} else {
Exact end = make_root_of_2(minus_b_div_a, 1, d);
if (end > Exact(1)) end = Exact(1);
if (! is_negative(end)) {
exact = std::make_optional(end);
approx = CGAL::to_interval(*exact);
is_exact = true;
return true;
}
}
}
return false;
}
friend std::ostream& operator<<(std::ostream& os, const Lambda<C>&)
{
return os;
}
bool operator<=(const Lambda<C>& other) const
{
return (*this < other) || (*this == other);
}
bool operator>=(const Lambda<C>& other) const
{
return (other < *this) || (*this == other);
}
bool operator>(const Lambda<C>& other) const
{
return (other < *this);
}
bool operator==(const Lambda<C>& other) const
{
return (!(*this < other)) && (!(other < *this));
}
bool operator!=(const Lambda<C>& other) const
{
return !(*this == other);
}
bool operator<(const Lambda<C>& other) const
{
if ((is_zero && other.is_zero) || (is_one && other.is_one))
return false;
if ((is_zero && (!other.is_zero)) || (!is_one && other.is_one))
return true;
CGAL::Uncertain<bool> res = approx < other.approx;
if (CGAL::is_certain(res)) {
return CGAL::make_certain(res);
}
update_exact();
other.update_exact();
return exact < other.exact;
}
};
// non-filtered version
template<typename T>
struct Lambda<Curve<T,false>>
{
using Curve = ::CGAL::Frechet_distance::internal::Curve<T,false>;
using C = Curve;
using FT = typename C::FT;
using RO2 = typename Root_of_traits<FT>::Root_of_2;
using PointID = typename C::PointID;
RO2 value;
FT approx; // TODO: isn't it an issue to use that with an exact FT? Ask @SL
// TODO: we could use the interval in the RO2? Ask @SL
bool is_zero, is_one;
Lambda() {}
Lambda(int zero_one)
: value(zero_one)
, approx(zero_one)
, is_zero(zero_one == 0)
, is_one(zero_one == 1)
{}
Lambda(const RO2& v, const Curve& /* curve1 */, const PointID& /* circle_center */,
const Curve& /* curve2 */, const PointID& /* line_start */, const FT& /* radius */, bool /* is_start */)
: value(v)
, is_zero(false)
, is_one(false)
{
if constexpr (!std::is_same_v<RO2, FT>)
{
std::pair<double, double> iv = to_interval(v);
approx = FT((iv.first+iv.second)/2.);
}
else
approx=v;
}
friend std::ostream& operator<<(std::ostream& os, const Lambda<C>&)
{
return os;
}
bool operator<=(const Lambda<C>& other) const
{
return (*this < other) || (*this == other);
}
bool operator>=(const Lambda<C>& other) const
{
return (other < *this) || (*this == other);
}
bool operator>(const Lambda<C>& other) const
{
return (other < *this);
}
bool operator==(const Lambda<C>& other) const
{
return (!(*this < other)) && (!(other < *this));
}
bool operator!=(const Lambda<C>& other) const
{
return !(*this == other);
}
bool operator<(const Lambda<C>& other) const
{
if ((is_zero && other.is_zero) || (is_one && other.is_one))
return false;
if ((is_zero && (!other.is_zero)) || (!is_one && other.is_one))
return true;
return value < other.value;
}
};
} } // namespace Frechet_distance::internal
template <typename FilteredTraits>
bool is_one(const Frechet_distance::internal::Lambda<Frechet_distance::internal::Curve<FilteredTraits,true>>& lambda)
{
if (lambda.is_one) return true;
if (lambda.is_zero) return false;
Uncertain<bool> ub = is_one(lambda.approx);
if (is_certain(ub)) {
return make_certain(ub);
}
lambda.update_exact();
return is_one(*lambda.exact);
}
template <typename FilteredTraits>
bool is_zero(const Frechet_distance::internal::Lambda<Frechet_distance::internal::Curve<FilteredTraits,true>>& lambda)
{
if (lambda.is_zero) return true;
if (lambda.is_one) return false;
Uncertain<bool> ub = is_zero(lambda.approx);
if (is_certain(ub)) {
return make_certain(ub);
}
lambda.update_exact();
return is_zero(*lambda.exact);
}
template <typename T>
bool is_one(const Frechet_distance::internal::Lambda<Frechet_distance::internal::Curve<T,false>>& lambda)
{
if (lambda.is_one) return true;
if (lambda.is_zero) return false;
return is_one(lambda.value);
}
template <typename T>
bool is_zero(const Frechet_distance::internal::Lambda<Frechet_distance::internal::Curve<T,false>>& lambda)
{
if (lambda.is_zero) return true;
if (lambda.is_one) return false;
return is_zero(lambda.value);
}
/*
template <typename K>
CGAL::Interval_nt<false> to_interval(const Frechet_distance::internal::Lambda<K>& lambda)
{
return lambda.approx;
}
*/
namespace Frechet_distance
{
namespace internal {
template <typename C>
struct ContinuousPoint {
using distance_t = typename C::distance_t;
using PointID = typename C::PointID;
PointID point;
distance_t fraction;
bool operator<(ContinuousPoint const& other) const
{
return point < other.point ||
(point == other.point && fraction < other.fraction);
}
bool operator<(PointID point_id) const { return point < point_id; }
bool operator>(PointID point_id) const { return point >= point_id; }
bool valid() const { return point.valid(); }
void invalidate() { point.invalidate(); }
};
// Orientation and Direction etc.
enum class Direction : uint8_t { Up = 0, Down = 1, Left = 2, Right = 3 };
const std::array<Direction, 4> Directions = {
{Direction::Up, Direction::Down, Direction::Left, Direction::Right}};
enum class Orientation { Horizontal = 0, Vertical = 1 };
Orientation operator!(Orientation orientation);
// short for: backward-forward direction
enum class BFDirection { Backward = 0, Forward = 1 };
BFDirection operator!(BFDirection direction);
// some helper functions for Orientation and Direction
Orientation getOrientation(Direction direction);
Direction getForwardDirection(Orientation orientation);
Direction getBackwardDirection(Orientation orientation);
bool isForward(Direction direction);
bool isBackward(Direction direction);
std::array<Direction, 2> getDirections(Orientation orientation);
BFDirection toBFDirection(Direction direction);
//
// Interval
//
// TODO: CGAL has no Interval<T> class template yet, but it would look like this probably
template <typename C>
struct Interval {
Lambda<C> begin;
Lambda<C> end;
Interval()
: begin(1), end(0)
{}
Interval(Lambda<C> const& begin, Lambda<C> const& end)
: begin(begin), end(end)
{}
bool is_empty() const
{
return begin > end;
}
bool intersects(Interval const& other) const
{
if (is_empty() || other.is_empty()) {
return false;
}
return (other.begin >= begin && other.begin <= end) ||
(other.end >= begin && other.end <= end) ||
(other.begin <= begin && other.end >= end);
}
};
template <typename C>
std::ostream& operator<<(std::ostream& out, const Interval<C>& interval);
/*!
* \ingroup PkgFrechetDistanceFunctions
* Data Types for FrechetLight:
*
* CPoint is integral part + rational [0,1] number given as sqrt_extension
*/
template <typename C>
class CPoint
{
private:
using PointID = typename C::PointID;
PointID point;
Lambda<C> fraction;
void normalize()
{
assert(fraction >= Lambda<C>(0) && fraction <= Lambda<C>(1));
if (CGAL::is_one(fraction)) {
fraction = Lambda<C>(0);
++point;
}
}
public:
CPoint(PointID point, Lambda<C> const& fraction)
: point(point), fraction(fraction)
{
normalize();
}
CPoint() : point((std::numeric_limits<typename PointID::IDType>::max)()), fraction(0.)
{
}
PointID getPoint() const { return point; }
Lambda<C> const& getFraction() const { return fraction; }
double getFractionLB() const
{
// returns a lower bound to the fraction
return CGAL::to_interval(fraction).inf();
}
void setPoint(PointID point) { this->point = point; }
void setFraction(Lambda<C> const& frac)
{
fraction = frac;
normalize();
}
bool operator<(CPoint const& other) const
{
return point < other.point ||
(point == other.point && fraction < other.fraction);
}
bool operator<=(CPoint const& other) const
{
return point < other.point ||
(point == other.point && fraction <= other.fraction);
}
bool operator>(CPoint const& other) const
{
return point > other.point ||
(point == other.point && fraction > other.fraction);
}
bool operator>=(CPoint const& other) const
{
return point > other.point ||
(point == other.point && fraction >= other.fraction);
}
bool operator==(CPoint const& other) const
{
return point == other.point && fraction == other.fraction;
}
bool operator!=(CPoint const& other) const
{
return point != other.point || fraction != other.fraction;
}
bool operator<(PointID other) const { return point < other; }
bool operator>(PointID other) const
{
return point > other || (point == other && fraction > Lambda<C>(0));
}
bool operator<=(PointID other) const
{
return point < other || (point == other && is_zero(fraction));
}
bool operator>=(PointID other) const { return point >= other; }
bool operator==(PointID other) const
{
return point == other && is_zero(fraction);
}
bool operator!=(size_t other) const { return !(point == other); }
CPoint ceil() const
{
return (! CGAL::is_zero(fraction)) ? CPoint(point + 1, 0.) : CPoint(point, 0.);
}
CPoint floor() const { return CPoint(point, 0.); }
std::string to_string() const
{
// return std::to_string( (double) point + fraction);
std::stringstream stream;
// AF avoid + stream << std::fixed << std::setprecision(10) <<
// (double) point + fraction;
return stream.str();
}
friend std::ostream& operator<<(std::ostream& out, const CPoint<C>& p)
{
out << std::setprecision(15) << "(" << (size_t)p.point << " + "
<< p.fraction << ")";
return out;
}
};
template <typename C>
using CPosition = std::array<CPoint<C>, 2>;
template <typename C>
using CPositions = std::vector<CPosition<C>>;
using CurveID = std::size_t;
/*!
* \ingroup PkgFrechetDistanceFunctions
* A class representing a
*/
template <typename C>
struct CInterval {
using PointID = typename C::PointID;
CPoint<C> begin;
CPoint<C> end;
const CInterval* reach_parent = nullptr;
CPoint<C> fixed = CPoint<C>((std::numeric_limits<typename PointID::IDType>::max)(), 0);
CurveID fixed_curve = -1;
CPosition<C> getLowerRightPos() const
{
if (fixed_curve == 0) {
CPosition<C> ret = {{fixed, begin}};
return ret;
} else {
CPosition<C> ret = {{end, fixed}};
return ret;
}
}
CPosition<C> getUpperLeftPos() const
{
if (fixed_curve == 0) {
CPosition<C> ret = {{fixed, end}};
return ret;
} else {
CPosition<C> ret = {{begin, fixed}};
return ret;
}
}
CInterval(CPoint<C> const& begin, CPoint<C> const& end, CPoint<C> const& fixed,
CurveID fixed_curve)
: begin(begin), end(end), fixed(fixed), fixed_curve(fixed_curve)
{
}
CInterval()
: begin((std::numeric_limits<typename PointID::IDType>::max)(), 0),
end(std::numeric_limits<typename PointID::IDType>::lowest(), 0)
{
}
CInterval(CPoint<C> const& begin, CPoint<C> const& end) : begin(begin), end(end)
{
}
CInterval(PointID point1, Lambda<C> fraction1, PointID point2,
Lambda<C> const& fraction2)
: begin(point1, fraction1), end(point2, fraction2)
{
}
CInterval(PointID begin, PointID end) : begin(begin, 0), end(end, 0) {}
bool operator<(CInterval const& other) const
{
return begin < other.begin || (begin == other.begin && end < other.end);
}
bool is_empty() const { return end < begin; }
void make_empty()
{
begin = {(std::numeric_limits<typename PointID::IDType>::max)(), 0};
end = {std::numeric_limits<typename PointID::IDType>::lowest(), 0};
}
void clamp(CPoint<C> const& min, CPoint<C> const& max)
{
begin = (std::max)(min, begin);
end = (std::min)(max, end);
}
};
template <typename C>
std::ostream& operator<<(std::ostream& out, const CInterval<C>& interval);
template <typename C>
using CIntervals = std::vector<CInterval<C>>;
template <typename C>
using CIntervalsID = ID<CIntervals<C>>;
//
// Interval
//
template <typename C>
std::ostream& operator<<(std::ostream& out, const Interval<C>& interval)
{
out << std::setprecision (15)
<< "(" << interval.begin << ", " << interval.end << ")";
return out;
}
template <typename C>
std::ostream& operator<<(std::ostream& out, const CInterval<C>& interval)
{
out << std::setprecision(15) << "(" << interval.begin << ", "
<< interval.end << ")";
return out;
}
} // namespace internal
} // namespace Frechet_distance
} // namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_GEOMETRY_BASICS_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_INTERNAL_HIGH_LEVEL_PEDICATES_H
#define CGAL_FRECHET_DISTANCE_INTERNAL_HIGH_LEVEL_PEDICATES_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Frechet_distance/internal/geometry_basics.h>
#include <CGAL/Root_of_traits.h>
namespace CGAL {
namespace Frechet_distance {
namespace internal {
template <class FT>
void make_positive(FT& n) { if (n<0) n=FT(0); }
template <class FT>
void make_less_than_one(FT& n) { if (n>1) n=FT(1); }
inline void make_positive(Interval_nt<false>& n)
{
if (n.sup() <= 0) n = 0.;
else if (n.inf()<0) n=Interval_nt<false>(0.,n.sup());
}
inline void make_less_than_one(Interval_nt<false>& n)
{
if (n.inf() >=1 ) n = 1.;
else if (n.sup()>1) n=Interval_nt<false>(n.inf(),1.);
}
// let a := v.x()^2 + v.y()^2,
// let b := line_start.x() * v.x() + line_start.y() * v.y(),
// let c := line_start.x()^2 + line_start.y()^2 - radius^2
// <=> lambda^2 * a + lambda * 2 b + c = 0
// <=> lambda^2 + (2 b / a) * lambda + (c / a) = 0
// <=> lambda1/2 = - (b / a) +/- sqrt((b / a)^2 - c / a)
template <class Traits, class C, class Point, class AFT>
std::optional<bool>
fill_lambda(const Point& circle_center,
const Point& line_start,
const Point& line_end,
const AFT& radius,
std::pair<Lambda<C>, Lambda<C>>& I,
C const& curve1,
typename C::PointID const& center_id,
C const& curve2,
typename C::PointID const& seg_start_id,
const Traits& traits = Traits())
{
using FT = typename Traits::FT;
FT a(0), b(0), c(0);
auto ccci = traits.construct_cartesian_const_iterator_d_object();
auto it_cc = ccci(circle_center), it_s = ccci(line_start), it_e = ccci(line_end);
for (auto i = 0; i < C::dimension; ++i, ++it_cc, ++it_s, ++it_e)
{
FT start_end_diff = *it_e - *it_s;
a += CGAL::square(start_end_diff);
FT start_center_diff = *it_s - *it_cc;
b -= start_center_diff * start_end_diff;
c += square(start_center_diff);
}
c -= CGAL::square(typename Traits::FT(radius));
if(is_zero(a)){
I = std::make_pair(Lambda<C>(0), Lambda<C>(1));
return true;
}
FT minus_b_div_a = b / a;
FT d = CGAL::square(minus_b_div_a) - c / a;
auto is_not_neg = !is_negative(d);
if (!is_certain(is_not_neg)) return std::nullopt;
if (is_not_neg)
{
auto start = make_root_of_2(minus_b_div_a, -1, d);
auto end = make_root_of_2(minus_b_div_a, 1, d);
// Question: can it be negative >1 even in exact?
make_positive(start);
make_less_than_one(end);
auto valid_interval = CGAL_AND(start <= FT(1), end >= FT(0));
if (!is_certain(valid_interval)) return std::nullopt;
if (valid_interval)
{
I = std::make_pair(
(certainly(start == FT(0))) ? Lambda<C>(0)
: Lambda<C>(start, curve1, center_id,
curve2, seg_start_id, radius, true),
(certainly(end == FT(1))) ? Lambda<C>(1)
: Lambda<C>(end, curve1, center_id,
curve2, seg_start_id, radius, false));
return true;
}
}
return false;
}
namespace HLPred
{
// filtered version
template <typename T>
Interval<Curve<T, true>>
intersection_interval(Curve<T, true> const& curve1,
typename Curve<T, true>::PointID const& center_id,
Curve<T, true> const& curve2,
typename Curve<T, true>::PointID seg_start_id,
typename Curve<T, true>::IFT const& radius)
{
using C = Curve<T, true>;
Interval<C> I;
std::pair<Lambda<C>, Lambda<C>> II;
// if not empty
std::optional<bool> res =
fill_lambda<typename C::AT>(
curve1[center_id], curve2[seg_start_id], curve2[seg_start_id + 1],
C::inf(radius), II, curve1, center_id, curve2, seg_start_id);
if (res.has_value())
{
if (res.value())
I = Interval<C>(II.first, II.second);
}
else{
CGAL_assertion(radius.is_point());
std::pair<Lambda<C>, Lambda<C>> II;
// if not empty
if (fill_lambda<typename C::ET>(
curve1.rpoint(center_id), curve2.rpoint(seg_start_id), curve2.rpoint(seg_start_id + 1),
C::inf(radius), II, curve1, center_id, curve2, seg_start_id).value())
{
I = Interval<C>(II.first, II.second);
}
}
return I;
}
// non-filtered version
template <typename T>
Interval<Curve<T, false>>
intersection_interval(Curve<T, false> const& curve1,
typename Curve<T, false>::PointID const& center_id,
Curve<T, false> const& curve2,
typename Curve<T, false>::PointID seg_start_id,
typename Curve<T, false>::IFT const& radius)
{
using C = Curve<T, false>;
Interval<C> I;
std::pair<Lambda<C>, Lambda<C>> II;
// if not empty
if (fill_lambda<T>(
curve1[center_id], curve2[seg_start_id], curve2[seg_start_id + 1],
C::inf(radius), II, curve1, center_id, curve2, seg_start_id, curve1.traits()).value())
{
I = Interval<C>(II.first, II.second);
}
return I;
}
} // namespace HLPred
} // namespace internal
} // namespace Frechet_distance_
} // namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_INTERNAL_HIGH_LEVEL_PEDICATES_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_TRAITS_2_H
#define CGAL_FRECHET_DISTANCE_TRAITS_2_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Dimension.h>
#include <CGAL/Bbox_2.h>
namespace CGAL
{
/*!
* \ingroup PkgFrechetDistanceTraits
*
* \cgalModels{FrechetDistanceTraits}
* \tparam K geometric traits class. Must be a model of `Kernel`
*/
template <class K>
class Frechet_distance_traits_2
{
public:
using Dimension = Dimension_tag<2>;
using Kernel = K;
using FT = typename Kernel::FT;
using Point_d = typename Kernel::Point_2;
using Bbox_d = CGAL::Bbox_2;
using Construct_bbox_d = typename Kernel::Construct_bbox_2;
using Cartesian_const_iterator_d = typename Kernel::Cartesian_const_iterator_2;
using Construct_cartesian_const_iterator_d = typename Kernel::Construct_cartesian_const_iterator_2;
using Compare_squared_distance_d = typename Kernel::Compare_squared_distance_2;
Construct_bbox_d construct_bbox_d_object() const {
return Construct_bbox_d();
}
Construct_cartesian_const_iterator_d construct_cartesian_const_iterator_d_object() const {
return Construct_cartesian_const_iterator_d();
}
Compare_squared_distance_d construct_compare_squared_distance_d_object() const {
return Compare_squared_distance_d();
}
};
} // end of namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_TRAITS_2_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_TRAITS_3_H
#define CGAL_FRECHET_DISTANCE_TRAITS_3_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Dimension.h>
#include <CGAL/Bbox_3.h>
namespace CGAL
{
/*!
* \ingroup PkgFrechetDistanceTraits
*
* \cgalModels{FrechetDistanceTraits}
* \tparam K geometric traits class. Must be a model of `Kernel`
*/
template <class K>
class Frechet_distance_traits_3
{
public:
using Dimension = Dimension_tag<3>;
using Kernel = K;
using FT = typename Kernel::FT;
using Point_d = typename Kernel::Point_3;
using Bbox_d = typename CGAL::Bbox_3;
using Construct_bbox_d = typename Kernel::Construct_bbox_3;
using Cartesian_const_iterator_d = typename Kernel::Cartesian_const_iterator_3;
using Construct_cartesian_const_iterator_d = typename Kernel::Construct_cartesian_const_iterator_3;
using Compare_squared_distance_d = typename Kernel::Compare_squared_distance_3;
Construct_bbox_d construct_bbox_d_object() const {
return Construct_bbox_d();
}
Construct_cartesian_const_iterator_d construct_cartesian_const_iterator_d_object() const {
return Construct_cartesian_const_iterator_d();
}
Compare_squared_distance_d construct_compare_squared_distance_d_object() const {
return Compare_squared_distance_d();
}
};
} // end of namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_TRAITS_3_H

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// Copyright (c) 2024 Max-Planck-Institute Saarbruecken (Germany), GeometryFactory (France)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : André Nusser <anusser@mpi-inf.mpg.de>
// Marvin Künnemann <marvin@mpi-inf.mpg.de>
// Karl Bringmann <kbringma@mpi-inf.mpg.de>
// Andreas Fabri
// =============================================================================
#ifndef CGAL_FRECHET_DISTANCE_TRAITS_D_H
#define CGAL_FRECHET_DISTANCE_TRAITS_D_H
#include <CGAL/license/Frechet_distance.h>
#include <CGAL/Dimension.h>
#include <CGAL/Bbox_d.h>
namespace CGAL
{
/*!
* \ingroup PkgFrechetDistanceTraits
*
* \cgalModels{FrechetDistanceTraits}
* \tparam K geometric traits class. Must be either `Epick_d` or `Epeck_d` with a fixed dimension.
*/
template <class K>
class Frechet_distance_traits_d
{
public:
using Dimension = Dimension_tag<K::Dimension::value>;
using Kernel = K;
using FT = typename Kernel::FT;
using Bbox_d = CGAL::Bbox_d<Dimension>;
using Point_d = typename Kernel::Point_d;
using Construct_bbox_d = typename Kernel::Construct_bbox_d;
using Cartesian_const_iterator_d = typename Kernel::Cartesian_const_iterator_d;
using Construct_cartesian_const_iterator_d = typename Kernel::Construct_cartesian_const_iterator_d;
using Compare_squared_distance_d = typename Kernel::Compare_squared_distance_d;
Construct_bbox_d construct_bbox_d_object() const {
return Construct_bbox_d();
}
Construct_cartesian_const_iterator_d construct_cartesian_const_iterator_d_object() const {
return Construct_cartesian_const_iterator_d();
}
Compare_squared_distance_d construct_compare_squared_distance_d_object() const {
return Compare_squared_distance_d();
}
};
} // end of namespace CGAL
#endif // CGAL_FRECHET_DISTANCE_TRAITS_D_H

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Max-Planck-Institute Saarbruecken (Germany)
GeometryFactory (France)

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Algebraic_foundations
Circulator
Installation
Interval_support
Kernel_23
Modular_arithmetic
Number_types
Profiling_tools
Property_map
STL_Extension
Stream_support
Arithmetic_kernel
CGAL_Core
Cartesian_kernel
Distance_2
Distance_3
Filtered_kernel
Frechet_distance
Intersections_2
Intersections_3
Kernel_d
NewKernel_d
Spatial_searching

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Frechet distance on dD polylines

1
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GPL (v3 or later)

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André Nusser <anusser@mpi-inf.mpg.de>, Marvin Künnemann <marvin@mpi-inf.mpg.de>, and Karl Bringmann <kbringma@mpi-inf.mpg.de>

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# Created by the script cgal_create_cmake_script
# This is the CMake script for compiling a CGAL application.
cmake_minimum_required(VERSION 3.12...3.29)
project( Frechet_distance_Tests )
find_package(CGAL REQUIRED)
find_package(Eigen3 3.1.0 QUIET) #(3.1.0 or greater)
include(CGAL_Eigen3_support)
if(TARGET CGAL::Eigen3_support)
create_single_source_cgal_program( "Frechet_distance_test.cpp" )
target_link_libraries(Frechet_distance_test PRIVATE CGAL::Eigen3_support)
create_single_source_cgal_program( "Frechet_distance_minimal_traits_2.cpp" )
target_link_libraries(Frechet_distance_minimal_traits_2 PRIVATE CGAL::Eigen3_support)
else()
message("NOTICE: All tests require the Eigen3 library, and will not be compiled.")
endif()

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#include <CGAL/Dimension.h>
#include <CGAL/Bbox_2.h>
template <class FT_>
struct MinimalFrechetTraits {
using Dimension = CGAL::Dimension_tag<2>;
using FT = FT_;
struct Point_d
{};
struct Construct_bbox_d
{
Construct_bbox_d() = delete;
Construct_bbox_d(int){}
CGAL::Bbox_2 operator()(Point_d) const
{
return CGAL::Bbox_2();
}
};
struct Cartesian_const_iterator_d
{
FT operator*() { return 0; }
Cartesian_const_iterator_d& operator++() { return *this;}
Cartesian_const_iterator_d operator++(int) { return Cartesian_const_iterator_d(); }
};
struct Construct_cartesian_const_iterator_d
{
Construct_cartesian_const_iterator_d() = delete;
Construct_cartesian_const_iterator_d(int){}
Cartesian_const_iterator_d operator()(Point_d){ return Cartesian_const_iterator_d(); }
Cartesian_const_iterator_d operator()(Point_d, int){ return Cartesian_const_iterator_d(); }
};
Construct_bbox_d construct_bbox_d_object() const
{
return Construct_bbox_d(0);
}
Construct_cartesian_const_iterator_d construct_cartesian_const_iterator_d_object() const
{
return Construct_cartesian_const_iterator_d(0);
}
};
#include <CGAL/Frechet_distance.h>
#include <vector>
int main()
{
namespace params = CGAL::parameters;
{
using Traits = MinimalFrechetTraits<double>;
std::vector<Traits::Point_d> curve;
/* bool decision = */ CGAL::is_Frechet_distance_larger(
curve, curve, 0.1, params::force_filtering(std::true_type())
.geom_traits(Traits()));
}
{
using Traits = MinimalFrechetTraits<CGAL::Exact_rational>;
std::vector<Traits::Point_d> curve;
/* bool decision = */ CGAL::is_Frechet_distance_larger(
curve, curve, 0.1, params::force_filtering(std::true_type())
.geom_traits(Traits()));
}
return 0;
}

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#include <CGAL/Frechet_distance.h>
#include <CGAL/Frechet_distance_traits_2.h>
#include <CGAL/Frechet_distance/Neighbor_search.h>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
#include <CGAL/Exact_predicates_exact_constructions_kernel_with_sqrt.h>
#include <CGAL/Epeck_d.h>
#include <CGAL/Epick_d.h>
#include <CGAL/Real_timer.h>
#include <CGAL/Dimension.h>
#include <algorithm>
#include <cassert>
#include <fstream>
#include <ostream>
#include <sstream>
#include <string>
#include <vector>
template <class TestKernel, class TestTraits, class TestPoint>
struct Test_struct
{
//
// helpers
//
using Test_distance_t = double;
using TestCurve = std::vector<TestPoint>;
using TestCurves = std::vector<TestCurve>;
struct FrechetDistanceQuery {
std::size_t id1, id2;
Test_distance_t distance;
bool decision;
};
using FrechetDistanceQueries = std::vector<FrechetDistanceQuery>;
struct FrechetDistanceNearNeighborsDSQuery {
std::size_t id;
Test_distance_t distance;
std::vector<std::size_t> expected_result; // TODO: should be curve ids
};
using FrechetDistanceNearNeighborsDSQueries =
std::vector<FrechetDistanceNearNeighborsDSQuery>;
static void readCurve(std::ifstream& curve_file, TestCurve& curve)
{
// Read everything into a stringstream.
std::stringstream ss;
ss << curve_file.rdbuf();
CGAL::IO::set_ascii_mode(ss);
TestPoint p;
auto ignore_count = (std::numeric_limits<std::streamsize>::max)();
while (ss >> p) {
ss.ignore(ignore_count, '\n');
if ((!curve.empty()) && (p == curve.back())) {
continue;
}
curve.push_back(p);
}
}
static TestCurves readCurves(std::string const& curve_directory)
{
TestCurves curves;
std::vector<std::string> curve_filenames;
// read filenames of curve files
std::ifstream file(curve_directory + "dataset.txt");
assert(file);
std::string line;
while (std::getline(file, line)) {
curve_filenames.push_back(line);
}
// read curves
curves.reserve(curve_filenames.size());
for (auto const& curve_filename : curve_filenames) {
std::ifstream curve_file(curve_directory + curve_filename);
assert(curve_file);
curves.emplace_back();
readCurve(curve_file, curves.back());
if (curves.back().empty()) {
curves.pop_back();
}
}
return curves;
}
static FrechetDistanceQueries readFrechetDistanceQueries(std::string const& query_file)
{
FrechetDistanceQueries queries;
std::ifstream file(query_file);
assert(file);
std::string line;
while (std::getline(file, line)) {
queries.emplace_back();
auto& query = queries.back();
std::stringstream ss(line);
ss >> query.id1 >> query.id2 >> query.distance >> query.decision;
}
return queries;
}
static FrechetDistanceNearNeighborsDSQueries readFrechetDistanceNearNeighborsDSQueries(
std::string const& query_file)
{
FrechetDistanceNearNeighborsDSQueries queries;
std::ifstream file(query_file);
assert(file);
std::string line;
while (std::getline(file, line)) {
queries.emplace_back();
auto& query = queries.back();
std::stringstream ss(line);
ss >> query.id >> query.distance;
CGAL::Frechet_distance::internal::CurveID result_id;
while (ss >> result_id) {
query.expected_result.push_back(result_id);
}
std::sort(query.expected_result.begin(),
query.expected_result.end());
}
return queries;
}
//
// tests
//
template<bool force_filtering=false>
static double testFrechetDistance()
{
namespace params = CGAL::parameters;
std::string curve_directory = "./data/curves/";
std::string query_directory = "./data/queries/";
std::vector<std::string> datasets;
auto const dimension = TestTraits::Dimension::value;
if (dimension == 2) {
// datasets = {"sigspatial", "OV"};
datasets = { "sigspatial" };
}
else if (dimension == 3) {
datasets = { "generated_3d" };
}
else if (dimension == 100) {
datasets = { "generated_100d" };
}
CGAL::Real_timer timer;
for (auto const& dataset : datasets) {
auto curves = readCurves(curve_directory + dataset + "/");
auto queries =
readFrechetDistanceQueries(query_directory + dataset + ".txt");
for (auto const& query : queries) {
/*
std::cout << CGAL::bounded_error_Frechet_distance(curves[query.id1], curves[query.id2], 0.001)
<< std::endl;
*/
timer.start();
auto decision =
! CGAL::is_Frechet_distance_larger(
curves[query.id1], curves[query.id2], query.distance,
params::force_filtering(std::bool_constant<force_filtering>())
.geom_traits(TestTraits()));
timer.stop();
if (decision != query.decision) {
std::cout << "Wrong decision on query." << std::endl;
exit(- 1);
}
}
}
return timer.time();
}
static double testFrechetDistanceNearNeighborsDS()
{
std::string curve_directory = "./data/curves/";
std::vector<std::string> datasets = { "sigspatial" };
std::string query_directory = "./data/ds_queries/";
CGAL::Real_timer timer;
for (auto const& dataset: datasets) {
auto curves = readCurves(curve_directory + dataset + "/");
auto queries =
readFrechetDistanceNearNeighborsDSQueries(query_directory + dataset +
".txt");
CGAL::Frechet_distance::Neighbor_search<TestCurve, TestTraits> ds(curves);
for (auto const& query: queries) {
auto result = ds.get_close_curves(curves[query.id],
query.distance);
std::sort(result.begin(), result.end());
timer.start();
if (!std::equal(result.begin(), result.end(), query.expected_result.begin(), query.expected_result.end())) {
std::cout << "Wrong result on query." << std::endl;
exit(- 1);
}
timer.stop();
}
}
return timer.time();
}
};
int main(int argc, char** argv)
{
std::set<int> test_set;
for (int i=1;i<argc;++i)
test_set.insert(atoi(argv[i]));
if (test_set.empty() || test_set.count(0))
{
using Kernel = CGAL::Simple_cartesian<double>;
using Traits = CGAL::Frechet_distance_traits_2<Kernel>;
using Point = Kernel::Point_2;
std::cout <<"Simple_cartesian<double>\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistanceNearNeighborsDS();
double t2=Test_struct<Kernel, Traits, Point>::testFrechetDistance();
std::cout << t1 << " " << t2 << "\n";
}
if (test_set.empty() || test_set.count(0))
{
using Kernel = CGAL::Simple_cartesian<double>;
using Traits = CGAL::Frechet_distance_traits_2<Kernel>;
using Point = Kernel::Point_2;
std::cout <<"Simple_cartesian<double> (force_filtering)\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistanceNearNeighborsDS();
double t2=Test_struct<Kernel, Traits, Point>::testFrechetDistance<true>();
std::cout << t1 << " " << t2 << "\n";
}
if (test_set.empty() || test_set.count(1))
{
using Kernel = CGAL::Epick;
using Traits = CGAL::Frechet_distance_traits_2<Kernel>;
using Point = Kernel::Point_2;
std::cout <<"CGAL::Epick\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistanceNearNeighborsDS();
double t2=Test_struct<Kernel, Traits, Point>::testFrechetDistance();
std::cout << t1 << " " << t2 << "\n";
}
if (test_set.empty() || test_set.count(2))
{
using Kernel = CGAL::Epeck;
using Traits = CGAL::Frechet_distance_traits_2<Kernel>;
using Point = Kernel::Point_2;
std::cout <<"CGAL::Epeck\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistanceNearNeighborsDS();
double t2=Test_struct<Kernel, Traits, Point>::testFrechetDistance();
std::cout << t1 << " " << t2 << "\n";
}
if (test_set.empty() || test_set.count(3))
{
using Kernel = CGAL::Exact_predicates_exact_constructions_kernel_with_sqrt;
using Traits = CGAL::Frechet_distance_traits_2<Kernel>;
using Point = Kernel::Point_2;
std::cout <<"Exact_predicates_exact_constructions_kernel_with_sqrt (force filtering)\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistanceNearNeighborsDS();
double t2=Test_struct<Kernel, Traits, Point>::testFrechetDistance<true>();
std::cout << t1 << " " << t2 << "\n";
}
if (test_set.empty() || test_set.count(4))
{
using Kernel = CGAL::Simple_cartesian<CGAL::Exact_rational>;
using Traits = CGAL::Frechet_distance_traits_2<Kernel>;
using Point = Kernel::Point_2;
std::cout <<"Simple_cartesian<Exact_rational> (force filtering)\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistanceNearNeighborsDS();
double t2=Test_struct<Kernel, Traits, Point>::testFrechetDistance<true>();
std::cout << t1 << " " << t2 << "\n";
}
if (test_set.empty() || test_set.count(5))
{
using Kernel = CGAL::Simple_cartesian<double>;
using Traits = CGAL::Frechet_distance_traits_3<Kernel>;
using Point = Kernel::Point_3;
std::cout <<"Simple_cartesian<double> in 3D\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistance();
std::cout << t1 << "\n";
}
if (test_set.empty() || test_set.count(6))
{
using Kernel = CGAL::Simple_cartesian<double>;
using Traits = CGAL::Frechet_distance_traits_3<Kernel>;
using Point = Kernel::Point_3;
std::cout <<"Simple_cartesian<double> in 3D (force filtering)\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistance<true>();
std::cout << t1 << "\n";
}
if (test_set.empty() || test_set.count(7))
{
using Kernel = CGAL::Epick_d<CGAL::Dimension_tag<100>>;
using Traits = CGAL::Frechet_distance_traits_d<Kernel>;
using Point = Kernel::Point_d;
std::cout <<"CGAL::Epick_d\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistance();
std::cout << t1 << "\n";
}
if (test_set.empty() || test_set.count(8))
{
using Kernel = CGAL::Epeck_d<CGAL::Dimension_tag<100>>;
using Traits = CGAL::Frechet_distance_traits_d<Kernel>;
using Point = Kernel::Point_d;
std::cout <<"CGAL::Epeck_d\n";
double t1=Test_struct<Kernel, Traits, Point>::testFrechetDistance();
std::cout << t1 << "\n";
}
return 0;
}

42
Frechet_distance/test/Frechet_distance/data/curves/generated_100d/0.txt Normal file
View File

@ -0,0 +1,42 @@
100 0.3961322036807608 -1.3519793381126441 0.9755865545483945 1.222734131308578 -2.5363457452499873 -1.6928333589210136 0.16619252411747099 -0.4111153700466569 -0.021841504755575433 -1.1089571058456542 1.1432173673216772 1.0111295160576328 0.08583990682958086 1.4654135690584429 0.6077621449276593 -1.1170802017482098 0.4793760193072485 -1.2465473810776986 1.1419853916994542 -0.06490368428212877 -0.24032107260883873 -0.8852084077251238 1.5893037402762393 -0.20088832668944281 -0.5568261688120394 -0.4577736156346985 0.6920019412193533 0.4750772836733019 0.5365523950747849 0.5600673039102476 2.7841418811315997 -0.5283395213000003 -0.6659155477929986 -1.057904546722241 0.8007732493481444 1.4676639805371592 -0.1481316949513376 -1.0922034200512865 -1.0718255803986114 0.8457706241721115 0.966230422564475 0.7061005487967535 -0.8651626194753026 0.3018097199867357 0.1516915518829467 0.28429517574771684 1.1328574113326468 0.29067421340708693 0.8825876319934634 0.0878527903355589 0.37585521829697943 0.8206746935901025 -1.8943025658123664 -0.41557258126449176 -0.6114844505806342 -0.8305412027163446 -0.35768492659468887 1.9434237046047147 -1.1255804504012161 1.258761860968925 -2.1877307031005464 -0.43535053898150733 0.21157898463650726 0.7620890307670616 0.9245945537307115 1.031351405759903 -0.4533425939229689 -0.6010573304639373 1.1153686456343 -0.24869562234609938 -1.6583922203392985 -1.4732733782045249 -1.1952879718020948 0.6463089672698933 0.18515345689173482 0.8976309602880987 -0.5554284402374946 0.2061015983997285 0.8132675121575378 -0.40215050163630994 0.5938078088246349 -0.8605037233866467 -0.4719700005345933 -0.49625926219782784 -1.5545915392657517 0.6330642250212564 -0.6102230422635411 0.016242354345993658 0.6249706565776817 0.5804905288389273 0.8650006416646221 -0.1280311298622507 -0.5502878056573999 -0.10363367417831877 -2.193534764145439 -1.8812462141500135 -1.7195094960607231 -1.2964208758819262 0.5197064947404676 -1.177122771968079
100 0.5806280173799194 1.1334476858110594 1.0221611146809748 1.1806405676446576 -0.8715861601624805 0.16897227471120513 1.5791247556211263 -1.65631897859963 1.5670911721345342 -1.4535575730223729 2.3217894275407382 -0.002444533308411101 1.615560469754835 1.234664215541391 -0.18347371282917235 0.6983296430665887 1.6328257965185986 -1.1740383423332879 3.890831423309467 0.15558488134572457 0.7113718559292829 0.3477914038767494 1.6370127034096027 1.318101944268179 -0.2690333129236091 -0.07651221152749205 3.2024628285031245 -0.045617676086646686 -1.8321211384173723 3.457598580593068 6.919315525867321 -0.14096637218806507 -2.33806475122443 -0.6165311937332765 1.2523585402851867 1.946366996380189 -0.7704139145354687 0.5814713682328067 0.5763354397926747 -0.24315540726876694 2.5624478149493846 4.217432002353668 0.25555803067055743 0.7295290537784758 0.9066625864102124 1.8132725296419607 -0.3422741225256414 1.3809515013107563 1.1053199824997706 3.424527952741064 1.0099692077647318 3.857038570869238 -2.423720070843522 1.2670672862506904 0.745499219205839 -1.0556616921566806 0.7574143992541557 4.307680397776684 -0.6902422125579502 -0.1467533312954341 -1.2692718934496496 -0.7124003763631552 0.6692465500950971 1.4206258877562274 -0.4831593749782206 -0.17458319389945376 1.0074999120320318 -0.4444902734464141 -1.3991568433428245 1.6853652020069225 -0.376556683454808 -1.4081613966850777 -1.952192876331889 2.6081680896591077 1.5183483154376063 4.942248801386644 0.8593048627463186 1.445929527377328 1.5068513996950073 1.5075316455675996 2.2431322557585314 1.7325774132043592 -0.36252048018903654 -0.254568912754169 -1.3438585309438582 2.4459439382780737 2.24437940626601 0.3043537664021726 0.9175153653944921 1.7414531465762795 1.236058656133261 1.9742729876202012 -2.6241668709493147 -0.2922208451864904 -2.2215868380347534 -3.9533575136628683 -2.000204061860961 -1.5617442789296718 1.1216500194166015 1.1370365266102902
100 1.1597768957486219 0.4925355249252754 1.7810359635370816 3.306685458619577 -1.2787819221887373 -0.24975601095160793 3.0505261425007233 -0.976914118123722 3.2040105911334678 -0.4890130441701769 4.029907468468101 -0.4955537942786551 2.455587105276825 1.7619924777333418 -0.8831889951297881 -0.5503657176094918 3.2889632470939745 -0.7904584543101238 3.2826881835430877 0.7893707379519052 3.0192012324423656 -1.8131109090364899 0.5153806539534831 0.9329175721668646 2.5684599468588143 1.1621249359035906 4.811330696431302 -0.7008049705508642 -2.445995722478723 4.69730378280722 7.618502187155482 1.4413162448543286 -1.6940665502722896 0.5447341630696112 2.236523660481537 3.6400177904373514 1.103205727984522 -0.7029110035995076 -1.4780226317949814 1.9307202524470481 4.70562162836166 3.560998611069667 -1.3401989528824794 1.6790786028605975 2.9949832223517676 4.79260477377391 1.139992229709216 1.7010666394557785 0.6419900947471875 4.205757445145845 1.4276559926457153 3.2519685717851274 1.1380764461754085 4.407856941048996 3.0777660112822836 -1.3677408988920243 2.678919587498397 5.8039988722806894 0.6959002110321428 2.3046837252303316 0.4298274978452119 1.1285287373662758 2.3520900047918425 2.576505434013199 -1.9598289177479549 0.8498997026141658 1.0313853540407245 -1.305419889890262 1.6848176082779789 4.737446421179111 2.2353872198144353 -0.1177073816821651 0.7594046743801255 3.3898482186404393 2.5776565254955783 4.270068748629791 2.1574732470100435 2.1853289395931625 0.6661206082923237 2.182590871184881 2.8810849245495636 4.896895406817638 1.5574063564129252 0.5321732684291717 -0.22226902135208332 3.1880274147472147 2.7400116867148108 -0.2584378491631092 1.5267495309217916 1.452000390561598 0.26372765258679487 3.388719762476493 -1.2034607847560415 -1.749347415318232 -1.4224700573789961 -1.6589457119929676 0.329354199484444 0.6776429129528789 1.9830512697598686 0.7821412621412807
100 0.6685421448225812 1.702641105140694 3.1157884686657877 5.6880610959983375 1.0736949494403913 0.3999762775660348 2.1517152613571198 -0.40537136979271826 4.2502708488447585 0.23788226627622555 4.040210950755142 0.7499254567336165 2.6625651750942136 1.7639903518024451 0.47729769475906936 -0.1954588388258871 4.337264955347657 0.4299752498175855 2.5848868407799315 0.933073627159315 5.671510139656501 -2.385375118048656 -1.322114075226751 -0.6152759630430649 3.4678538717344343 2.0634115627656207 5.230458255281086 1.7746753223809417 -5.010216966291394 5.84861390658183 10.272659906542522 0.818871320921492 -1.283310147655096 0.355247510890221 1.8487279621899435 3.8589798879764805 3.743286821578176 2.604255173104914 -0.9147436243471734 5.228043897412397 5.287804053152489 6.573378785570755 -0.5287670279822146 2.6701255620880167 4.301525145345174 9.47016349333029 3.033940665086607 1.6113516926157427 2.654602521318767 4.50617721831237 1.620017615772256 5.2098538346827095 1.9669887262107886 5.494552532496086 3.892783360265503 0.012835005534204025 3.9983838087273886 3.9189920225984998 2.3536460592833475 1.7897461913597503 -0.6021694867191558 1.895498547698386 3.2857971042553764 2.373269776204071 0.06904971256517833 0.022219866590901693 1.2857355969680655 -1.18514016320069 2.432706655720195 5.811906692154096 1.6988218658449075 1.7744877895884779 1.727055839809263 1.7007520808414016 0.8209894610862776 5.070238995048203 2.6350491286781965 2.7127687602672954 1.5618355345814174 3.225272693025198 4.86408309531655 4.183772044075469 0.7457539601129777 -0.11278825880360577 0.9427336259782322 5.493127616951127 2.955230884974494 -2.5994227815131783 0.13107428728692616 1.0962700624729957 0.2668432887723816 3.583749793499924 -0.2572993978266317 -1.1821799315921968 0.9136070098660213 -1.5874319285697507 0.10733490301462356 2.1539841203936905 0.800732733328996 2.085165223039835
100 1.7205556088091538 2.2051205684524255 5.9472476587417855 5.470373265980061 4.554522144736776 0.8831558773660045 1.233016058432923 0.6262912539325808 3.5539858580272705 0.19790500768973007 5.301052018800135 2.316105123731128 2.688459015428602 3.8483585123585353 2.859114495738601 2.5151892950866106 5.696065152245329 2.997071549581717 0.9361142531729283 1.2663964090100124 5.197777584937041 -1.2878218447874867 -1.0923273505457904 0.08802596422901207 6.719351964635084 2.6469190159362377 6.310224262867824 2.2450072467018907 -3.9117896919475106 6.430278460189014 11.353294126721918 3.185742715605975 1.7258049650906824 1.5380672417337986 3.38978841029716 2.982762151088412 4.2840684656336165 4.584567976032743 1.1654595013620441 6.165784228714177 6.939699613297801 7.799893789179281 1.9096808887376477 3.8070635447441603 4.596976781297931 10.240889109073303 -0.08617836442195514 2.9247520865482626 -1.4373536007814893 3.0070571470449803 3.0102784800594167 6.507227779252677 1.1920289271366469 5.231467311815329 6.41943159233062 0.24748843032346968 7.608462574332135 4.616148307002357 3.5876431875137826 4.658863373227488 0.4369114992719868 1.384516100928768 3.910140618359121 3.0188864425630366 -0.8634246148128956 0.6222408171738291 1.0765335185608351 0.8730221841657292 3.236870537653165 6.095102440551012 2.340635401044621 2.91410124511577 3.3543539139541316 1.2268569286521425 0.3141897462667893 7.2708304272513695 2.827010783147978 1.4960240189839127 3.0126387813051725 4.516544672471742 3.5245733527132037 5.227997559963896 2.4331226164807953 1.160985943244742 2.4870876305004748 4.241287514837832 4.135640182450838 -2.0015883817978404 0.3647073564446385 2.9546675122198716 2.9022219369267575 6.618401542286304 2.2883419766419633 -0.39752371514777063 2.2236468970550654 0.33622749469601754 1.153919200794684 3.0965025271027624 2.7184072087357602 2.731861717666728
100 1.6773439498765486 2.362899371690223 7.440365535178036 6.095986701654799 5.67420701509018 2.536697307291543 1.5539117519023184 2.5380272100061396 4.8049100768429795 -0.4350790076686035 7.891542676116388 2.469910634993744 1.3999760889789217 3.2270193673343335 2.3348790055839137 3.3368498122372414 5.974473979043627 3.268807518545533 2.638888366937041 2.466590159349654 6.306045589401741 0.17251963646295299 0.7056461789240575 -1.7314442833329722 6.935414514931647 0.6195525051097475 6.870531020968543 3.0178905351600522 -1.5655965361322177 8.542731990702361 12.084709633573164 3.3130816251582473 3.1220904170977786 1.607585958914886 4.122131487804221 4.945235218442854 4.213351284578785 6.329433856245282 2.942630103053178 5.569336627226596 8.650218601514581 9.26332540775402 2.8438393781282487 3.553642564236826 4.251691303638345 9.853918720048508 1.4708329410299679 2.46908136982091 -0.014148095244185699 2.226511654578914 3.515106149103688 7.293128782887587 5.167141194970696 4.138677841143526 8.992996740956986 1.326435761445569 8.702710987373884 5.463704042141953 4.839860528739317 5.126944164833199 3.1808901503555935 1.6337553116812822 6.148681630065559 2.8691690786673165 -0.029135379562969826 0.16787835421575226 2.4597046139888645 3.547789920513181 3.8869182281615346 6.500552820372123 1.6708156921064838 3.4454313894388915 2.0666624668753593 0.9159908985833434 1.508633895943285 9.680124843744691 7.224312008528916 1.4344012987306487 5.71937298688887 5.48979219049314 4.060466835892344 6.516658522040802 3.196236173821428 2.0632998380533323 2.6365538129591095 3.0729674655026424 2.853516926736809 -0.15237003353224532 0.8864688418805593 2.8502415161746146 3.534653115471119 8.244867246967765 3.2766097780123564 -0.32482554032508626 4.641742828936076 3.2639849368802327 2.671252116223011 5.120606032397158 5.125207159758118 4.921884871037722
100 3.381459264740834 3.8296431826920996 8.718481422982348 5.262947079931109 7.212518028598393 1.4829129949525166 1.3141169390781609 5.076082182452897 6.59971703141299 2.4976364323717712 8.139006662160686 1.7691177406915857 2.006358335957036 4.123443616136633 3.262905945317392 5.5274704986855845 6.126290646835842 4.423336179234189 2.1748779611270432 3.7566844662855297 6.957932655779435 0.060013544483043635 1.3158094914138343 -0.9708727538027604 7.2637845840160296 3.817612133182192 7.230750294715594 3.444853569703473 -3.4096703446022425 7.855148223618732 12.177806338401835 3.1928330612461386 5.621569035890701 2.1451001700760566 6.498218045181085 5.618787924378635 4.918540063481266 6.833887612362278 3.764881759416068 8.474121499754967 6.0033728024559245 7.151564319460037 2.8973671084688357 4.320491355330931 5.934881141007044 10.797627319450578 1.7534634139947451 4.599696906761309 2.11594670298199 3.3329962577377845 5.513613825611934 8.255621590856673 5.057738907872232 5.790930994307153 9.682691671166115 2.1638593347884245 11.128481926176583 2.933199193807483 3.6150697159107033 4.230288809045817 3.440602268155357 2.1335296479991173 4.856384558446953 2.282273289622575 -0.2733398148328815 4.3207127844372595 5.531841509854358 3.689967398179194 4.1354325359011845 5.649419304214311 -0.00191597542133648 4.098602541792531 1.608257384104332 1.6943039218746607 0.2744151735984568 9.277283720666706 7.968399721628028 2.613367873809989 6.982822165587187 4.385956388718089 5.87968226889571 6.1451362792020525 4.667229717595154 2.7677126788332798 1.520231902281997 3.361881982366275 4.1087585548517005 1.5619680113621919 1.5607260993701113 5.515917740276478 5.437268315132652 8.432003150945498 4.96122663430988 3.1104737716017556 7.906908927268477 2.4125228358484962 2.2734027457645105 7.719383998672097 4.434846451119087 3.8262517161625453
100 3.6089363939503265 5.021872903659554 9.150567946890787 5.069238273691934 6.915062145917234 1.3382261136854292 1.002352727214681 8.799209248979398 7.631568825863534 4.55051735989355 8.113386265502331 2.3840602977547305 2.00190553140236 1.4256302470151194 2.2831527319435456 3.815530054694437 3.8376594633096417 3.5377985106907888 4.768126332832613 4.369237728428941 9.276259761352753 1.491549649282108 3.253845377717382 -1.142038847698708 8.63308110798572 5.545566374993405 6.96981324734973 4.922613980847488 -1.676403013280288 7.663402013098066 11.164135728259367 2.457036600803557 6.347769344682735 3.3237130412230957 6.085075631588261 6.236557619134153 6.307660454810913 8.255921798879914 6.590501152111471 10.695424405242807 5.203719255945219 9.943685222512887 2.9906341097190454 6.4177682001242395 6.75986509667215 10.558919845279602 0.1998351420142921 5.11336872151951 0.809939494425219 5.437331550347139 8.167325544197231 7.804908009795567 6.097315624775352 5.543550580234269 9.399051964900693 3.997188077710827 11.496491185392838 5.9883920370462675 3.6835964699339976 6.239223379182967 4.312722760603018 4.004824235342791 5.024311167915184 2.962441870182831 0.492847626055056 4.036006369962952 7.007733739473949 5.2297416401498 5.641895017192875 8.35136492297815 2.794282552011695 4.414429753983628 2.981983434493558 1.7675734522750228 1.2363820422088119 9.124057870847786 10.610550210182609 3.7597095059647625 7.387528775558257 6.621992453662682 3.707654903216627 4.235659600737813 6.305539448419628 3.557359352573662 2.5929804963666068 2.348631845345849 4.828669425389027 5.037695965000015 3.488723092894895 6.312810236525026 5.393203291117319 8.44936578468087 2.8505557007965754 4.242176983955503 9.598629547754264 1.1737674918731993 2.2662863603451195 6.787814773766589 3.9205030048843184 4.590983159613244
100 1.741806814260141 6.407458036024557 10.671872477725321 5.398540890031718 4.2781290162543515 0.8247280910151884 3.4443834387621983 5.770633869138134 7.773231873775435 3.8168307003466033 9.76594430261261 2.3286661525480756 3.4432703238029028 3.0263095397594175 5.519920285964794 4.266001907478959 5.061155279568297 2.310519271039005 7.062485871162385 4.018014517468073 9.07810068011448 2.2882204645387656 2.048058141372833 0.15536218990891137 10.51171384974474 6.622841298012927 5.4009663120357505 5.439400964723737 0.19937662160024305 5.74931317783287 10.255247123385077 4.427161667821927 7.275054182990043 4.553657929804354 9.13346304179128 7.396441280679381 7.742522405291846 12.3291991467358 6.986725173013509 10.114632576204883 6.294148557601879 10.986925865833989 3.0791602361989567 5.714054352439518 10.456264915856854 11.289396377334786 0.10832103152546446 7.011858664880739 1.4427075127868492 5.853737882329811 9.454905842497984 6.726580053018782 7.150737651272834 8.731821616098962 10.547169447973964 4.245314128921381 11.235489371896254 6.1043281679246455 4.040394030532105 6.361551961619477 6.204211562303738 2.4973555439820445 6.880752464100283 3.176930673696384 1.8574838362028436 3.379754238209416 9.278652016422813 7.468527660657962 7.550407624452712 6.958467225696902 4.650711248548985 5.723501431778572 1.7149025188102254 2.609784003702278 2.5911802574700826 10.475483859191487 11.253444552821776 4.754804045975856 9.967745237560418 8.793777620004397 0.7234287776850801 4.612691224576673 6.6164698135926665 1.9494651161548888 3.4083039685544305 4.723389783662805 4.127892588114642 6.182297636988925 3.060893543255468 5.975110111521798 7.838436311552177 8.269459070744228 4.199058731684003 2.54903189493793 12.53116348969893 2.8165068173309886 2.8754848873578043 8.146842538045076 2.8458738057301396 6.783523651393571
100 2.3054005088367715 6.699232728550379 10.534675927133453 5.324474749643887 5.932477119393678 2.0126350202361514 5.0659225591441555 6.523794302197954 9.064010327325608 4.157749755386864 13.229641685053945 1.1665081043576446 5.986578694356805 5.647227786952471 5.1592747844751745 7.901228114070001 7.0769449248331 4.379061992865079 7.782077486606169 4.429648278802764 9.37928489521755 3.6346849470039015 4.804943488566282 1.391070673128757 9.896226628204165 8.382715483545104 7.201484306314416 6.98560851433446 2.0463513432365628 6.049192226031754 9.609949208499875 4.0862636993016554 5.7164784098456565 5.5402688716198325 9.548935029243315 7.353834029001694 4.447027518668644 11.095588235048766 9.140967175223132 9.763412425061276 7.278132899743711 9.630927412840705 5.766665462250702 6.238799978226497 11.392605539797255 14.602447649724041 2.998162883444511 7.274025204906612 1.4640578478499071 6.202114559094198 10.647242892545236 7.2801560788166055 7.218408701722332 11.231165734673818 10.919419159393437 8.006001630375783 11.789040558686407 9.109516473580285 5.217527444998927 8.259229961553602 5.915291542781389 2.2520407411921486 8.170900827271435 5.203952050918783 2.7733783668625542 2.598194791444647 7.9788235229959765 6.163784669433264 5.863071491139207 7.779891003799307 6.851192279066512 6.4747236076558545 -0.2919260713537639 3.249590828145105 3.250266966097092 13.803068139183127 9.766443492129634 4.8540389654656035 12.767358465132169 9.888395091471315 2.388305420567069 5.582452851692185 7.588152236153121 3.7491561657538233 3.052873763795717 6.549001765646613 3.1327595045010503 7.305555064633956 4.124074530448308 5.759320305053336 8.248815368262408 8.026956371521624 3.535293336151505 2.9561677124154357 11.49852712394504 4.070080456365393 2.250307484318581 9.65601902398947 2.166942015254918 6.6381158465996775
100 2.4249483573649826 8.950134031102719 11.458700154963775 5.714856767219184 7.234272133313934 0.04964601711216332 5.687203287084733 9.82907599854645 9.782336294855764 5.091335374964362 14.330001137683267 3.2372942071112436 4.150440061337438 4.157373867084493 6.176243559553558 7.519088524397281 9.390337812554979 4.656733829242481 5.898063646384596 3.437061054845361 6.348380833035723 4.083271888913673 5.34103387077444 1.7542126335949155 11.881351562290604 10.527889913771219 7.4824078724463 4.814426131796283 3.6163697132632002 7.391416242355007 10.58932293647765 6.144338141450321 4.827029647033053 8.765593084878926 8.791905998861443 8.844723896871914 2.9392951888510286 10.321174965808869 11.689704982399796 9.939430080931704 8.825199098349998 10.441859771782203 6.299524726697041 8.679815252316775 11.58521011535853 12.414339144967382 2.712316922919687 8.62097272440104 2.7480998857103747 4.899162729096159 10.164895559005904 7.169557827188317 7.3057340187734505 9.901547397852712 10.591638470888077 7.633267434842678 13.189855751707213 10.686556682821559 5.666125675367779 8.289105143929628 6.745917150810438 2.0428979110134273 7.293352717011373 4.608596302360228 2.745295065319536 1.9885993274093419 8.705927962131929 7.708856907385658 4.472556452947911 8.434718477490799 7.180234647410429 7.6312466769839125 0.6912535301115716 2.1935554526047927 2.425300361298247 14.272178595543645 11.569473883324717 2.5614836244484662 13.652114494253063 11.87948480300512 3.01867850125348 7.050782764445824 7.156691956007698 4.277146864255624 1.640147219837842 4.0815087539732104 5.173031540181104 6.6499350676825175 4.290332938953842 4.536419548208267 6.824532179387347 8.36360584164133 3.327363251077004 4.271655629927399 12.526615861931571 5.239769101207764 3.4358541645606375 12.204271570152473 1.644357945380392 7.148123928530834
100 4.867969329794541 11.037459030567344 10.083622690324969 5.987360347389747 9.621005092933492 1.6200038844205615 6.620587411616991 10.126863779220875 9.820796156664036 6.306299438481841 14.354496809155659 4.030684892358389 5.139708845952539 4.07956573898242 7.597603308333221 11.899861318558528 7.603997649648502 5.784844937725846 5.663315672224078 4.923690592436946 7.127163260352709 5.840916362181353 7.6615305294555665 2.945569195679779 13.866445810363993 7.990625925157226 10.062856648579176 6.041312920152225 5.745193139534811 6.389971163785621 10.066317082221866 7.053088368836327 5.503340709848876 9.619151408311703 10.752671406219982 7.018720008240947 4.997922981705917 10.825730089327143 11.905247021883381 8.558350972381643 9.880488991171724 7.790912325577446 7.817871672483184 7.3207213901656605 12.169618951731438 12.499519164925669 5.041588347370613 8.98351393975051 2.589789721992171 5.073949550743677 12.324670864029146 8.548881123319218 7.38965158063242 10.140442113036599 9.083006158440968 8.758649923677389 11.25047765558599 12.137137396710479 6.4802415484203575 11.956180344154056 5.95502374547158 2.8131190651333497 10.316956810979832 6.8436681214673065 2.677145698832885 3.255994766454447 9.21421289213231 8.624900078684881 4.337457381946262 8.938650111897493 5.731218991857158 8.497143315981832 2.2762804055599535 2.8233962167772013 1.221558937840567 15.985902002766037 12.443101051755363 2.3440138699044883 13.70027962024008 10.297104086357702 2.5240098909677244 7.069051282759029 9.280525005483682 4.135994805222092 3.2694933463956275 4.110602415074306 6.24935708935843 7.153179555743591 6.21212309947508 4.508415748678232 5.278337959189999 7.140312827301407 3.422274133915065 3.447264765792403 13.470511707949207 5.365811053758857 7.382299222748673 10.341554117952755 2.8416139620599963 6.266226416264205
100 5.117761027116379 11.578686534477932 7.626795664665638 6.99197266662228 12.622985360676658 1.902958788457795 7.622205378049621 12.05228301918444 10.168545474497781 6.368830327006479 11.764069383676883 5.7122370356491246 5.870972819624581 3.608827839875258 8.453441391243294 11.536721684325173 7.557212135890314 7.255553093850038 4.724654995177445 6.979833974991079 6.022517521787377 5.692845491992271 10.872229764138133 5.335831773187264 14.429275646335519 7.432561450059472 9.779622128483306 6.84798144314038 6.4468956956671315 6.935278244239593 10.636440798337757 7.480890914036388 4.325634568351738 9.412486277013157 12.418119630532521 5.824524279930648 5.476140285924294 10.2513564162527 12.542169395980611 8.680502015821581 12.16732008140306 9.095908630502763 6.7420933090049076 8.871171881171488 11.67190839251877 11.996530007901287 6.17728927511207 8.948621476632336 4.537942713063627 4.930975052581236 11.938229970821878 8.33931461996305 7.262980520953498 12.129295071666746 10.531557695446335 11.573618416929836 14.662764053978805 11.218477947264274 7.207590379683352 10.829813194982117 5.654267036099434 2.901006065468149 9.505911619932414 6.080366691168303 3.3696480701694855 2.631750750823908 10.812553860618754 7.960374999071995 8.806642011053423 8.975429997414617 6.557381383354343 7.49172925138158 5.460287809575604 5.215777938841961 2.6075495697975133 14.596109099149631 13.090846977741133 1.6580683422284208 16.031380966163823 11.816157272136376 3.5515332355220632 4.652238345984623 8.445011023949576 5.760225068676891 5.597511503721452 6.31446883394769 4.914255951370393 8.238997677366049 8.25782669657794 3.0528787033604345 5.8690494357210135 8.159443717458625 3.850018924282608 1.9189927521219454 13.428770260373923 5.70004836245918 7.8875854223903 10.119658558833063 3.1810097208575243 6.871966818102993
100 6.580671961406778 11.516053258022074 7.793748367603845 7.764093261648135 10.504007546373455 3.3901175407690394 8.240469621820571 12.603402811054355 11.966314664613801 4.65338244785775 9.704278701326576 6.838290187704749 6.711519905099876 4.709177742939402 8.50691329777282 12.819044094380637 9.419026148011735 8.498273620264769 5.243963128911644 4.835270915298457 7.799679561974073 8.00977551193454 12.262157014666933 5.002920813750603 15.71660600306206 9.251848522828242 12.229876429273737 6.386186030088173 6.7759838876148635 8.54894540261145 11.29820321166674 6.720176225302325 5.629933117069404 10.645186599117357 12.92764301330102 6.762718964799317 5.847362639857369 12.699406036291343 11.835645557973194 8.544682707614431 12.433180391144385 10.824206857049521 5.487508418267673 7.77247149832531 9.563396614359279 12.314830484556664 5.400084464923637 9.061304555033358 6.092555873212364 4.977431532705343 12.681550845610499 8.61158049166934 8.758409693211371 13.209723675029059 10.194777160993278 11.806794637504463 16.312048618663788 12.2032223568024 5.996389669020395 12.147459977745022 4.977524493914686 5.6493326053557 11.448506486278312 7.107339320971085 4.427565820601951 3.360008817988262 12.120711558476003 8.046966029506025 9.706656660777389 10.737232321445308 6.52452296805003 7.428515070704769 4.718923434028607 4.654937958346034 1.1694077744994793 15.981798421068042 15.786708408910405 4.326650436174265 14.231252892941939 13.151791545515728 6.260051200006611 4.942082506690175 9.067821580100022 3.80366686408267 6.582847191312716 5.587644089092824 5.985285405420699 6.854315981378274 9.590744679878163 5.167911702611164 5.42766146961873 7.298793206482631 1.8524423285579275 2.540731855548036 13.06057596192054 4.4341926680748776 9.155502836459346 10.06223109381541 2.6899825397897703 6.783958754018763
100 8.774601990435244 12.631820832850654 8.306483525010933 9.172932545992353 9.476449435460038 4.211757686713171 9.01123114435172 12.457383461053297 12.982063331171078 4.538960808268225 10.971945157212051 8.258103504195978 3.714856262117384 7.067866603342078 5.187899639734405 12.365755075617178 11.297603580717263 8.627722310200419 4.158469773860127 4.110715872947312 9.810705007234048 6.1124237826736465 14.203503616066632 5.7482925802932066 14.50664107660774 9.092141329528229 11.200384777418417 8.204152036223311 8.32659743219417 6.865277391912728 11.319102711316175 6.319668457077303 8.000028432766161 9.301136666202439 15.377060557048798 7.3156092175313425 5.016106939606967 12.213109920179365 11.287955055856262 7.514078584843606 12.79113161513624 9.717482262570293 3.400113176768522 7.93183171325112 7.8609659532973115 11.592914873957028 4.925709199246485 8.527511825177147 9.299986901197041 5.917287517017309 13.399353433176062 6.941054311377809 8.445283541103858 13.891038593165394 9.43545712115473 13.421830641477962 14.952761973877584 12.247715206725777 5.893378789695664 12.752912281067207 4.903121706663947 6.056677933069242 11.645414069664533 6.741689348664632 5.846381130463394 4.619529422067041 12.359083255134202 8.044075239389002 11.282104149010388 10.960569459279231 6.815825688670113 8.295990294312777 7.763059901958886 3.7533257644807128 3.1702217354714404 13.880973129110908 16.271024941898297 7.0427051599370305 15.2682559220566 13.693445445177217 6.241416937312054 5.839708542644034 9.192764671219173 3.5270885033161594 6.785801441241927 6.529904452861112 5.733966548270968 6.513385461645162 8.373215524962644 6.340553233305559 6.728328290482297 8.253212652896648 4.004013201408021 3.5785197891311653 13.971805769073223 5.634539950304369 9.641723268498652 9.89570489820356 6.489006659192472 6.825546383756665
100 8.635069498773486 13.485710426534787 9.324726209079767 7.907281352460667 11.498872268487801 4.866540251868664 8.135898938942322 14.50046051814762 14.214548953130619 3.8498210611069155 13.851415186134647 9.778217181874297 4.701601311804824 9.862977499074184 6.251404584375716 12.71996514808423 10.912951218856566 9.94824392413845 5.701282963732984 4.903694474325152 9.387765126427848 7.01653848475753 14.507278755140426 4.835583686195573 13.016963833799243 10.466000945575157 8.182088479648648 9.10231150911567 8.252181507968364 9.237666000744015 11.251405264717658 7.959065811694089 8.081884735968863 9.954663641765537 16.586429888824128 7.312750984903859 7.072258624950491 11.36289324634055 12.221475999496663 9.429181108517179 13.877195288380808 12.784434428823308 3.307453284485973 6.818435849748648 7.335897589266438 12.760071256199849 6.344120318331703 9.320239346308217 8.306066620572118 7.776721638186919 12.188835512099901 9.21091146597284 12.742766070466665 14.753731373947932 10.83781579080761 13.15200636922816 12.887964851556053 11.900985664197783 5.172490534859134 11.252099673816591 7.945250827460049 7.189834564963197 12.659395099311707 6.980432897050747 6.37579448069917 6.806289290004811 12.67679915170942 9.320806162796623 11.511384843886889 11.062180251504113 5.6982885555500395 6.448906985069456 8.14265999132904 4.761484626274465 2.4442361431300563 14.329086400657483 16.5275255569881 4.797924697166103 14.446057195579012 14.53075103800497 7.493765013001604 5.194959515846436 9.869002435870822 5.656431520992473 8.396060003480162 7.076448248092604 5.925368481592907 6.45892139810907 9.62744494595464 7.2314612695056475 8.100046065070808 9.061630189876736 5.897560256517923 4.618827537266393 15.366019102950055 7.550620502027321 9.207432632113445 8.105818633314533 9.260957004740767 7.819951304751013
100 7.14585035890634 12.803382757760133 10.969295939014161 8.177628175527246 11.290823217091233 7.435678955583816 7.395509973248143 13.853553771118188 14.844901714730542 5.3574124727769625 14.91396052625791 11.549311129129379 5.914287695039976 11.081048510128424 6.720042361002032 13.176129157152506 11.551249435348865 10.724829095121724 7.552504629687656 6.362498042328582 10.077198867152218 6.656745554323676 14.976474752831754 5.676260043611318 13.776185023427718 13.904199164416196 8.032330560471905 10.238752795179746 10.196779787892034 9.91329527508766 14.872773497092103 8.166973467490125 9.101472413354522 9.390480737304584 16.317261681039128 8.239865218469873 8.827553267931153 12.269110326760615 14.362636619852072 9.923164264781693 13.616232460238948 16.71322044839753 4.7321469095065005 6.628652950615301 7.235714623452736 11.782260087978175 8.261981986847399 9.468645615432486 8.995372448174072 8.462656758603428 13.590267174989659 8.75624396135809 11.698556552237772 15.38789467906567 12.192429436162733 13.972879158127276 12.238711746460885 13.240925612236168 4.950228615056534 11.039050390862245 7.362408132237032 9.604546828925267 13.952373045913703 8.39964647645003 8.728696290468822 11.284353338938697 10.80022813718167 8.88315183806091 11.185931937612846 10.50145873429302 5.0754121914984385 6.889625852666328 7.265946505404865 6.084590955471954 3.5045932134261437 15.427023146386762 17.36177818421846 6.266398890034935 14.375765077651579 17.553110353411782 8.48575256458271 3.6707672298504304 9.003256629039889 4.084805780760886 8.936048746698258 7.564284244590278 6.112307512177448 9.845996802177886 10.924298650501274 8.769445967968442 7.37311594195881 8.360987640210205 6.678425338473423 5.7120236451743525 13.254219627308697 8.002503682175735 9.865907981456203 8.488663258664502 8.824569620235176 7.7306553841041294
100 7.7533335365472205 13.20994867501036 12.318628274903308 10.214701704868554 11.386743895829587 7.463559392282934 8.639369964438064 15.08224937258821 14.608339626624325 7.321865086372307 16.55436933204457 13.72881838219325 9.133000715464881 10.480984565039659 7.534284722379896 13.547847286289093 11.897102644494781 10.344889062709958 6.382932304432955 7.154340190984649 9.685039578548874 7.494782821850975 14.307254640290655 5.095205067662684 14.557193830638996 14.491143889439927 9.335763719946065 13.616888367774049 11.016427218099718 11.065924882900005 13.865242441233768 7.196193617177136 11.713172027294775 8.705255810611646 15.166735299108561 8.75352225273464 9.2815190279551 11.5470863694255 14.362101345291887 12.124083255190333 12.75728047180976 15.105668049386109 6.809437208533762 8.040027325642555 7.253444121595363 10.032432652560432 7.902323292642903 10.024179845926609 11.007015530128525 7.861347928085016 13.862419425913268 10.318523619949648 9.022128396510443 17.046263713555152 11.165268247441404 14.755515092151795 13.00672496168721 15.045223499250714 6.438817949475777 8.434893358782729 7.032055079359996 10.388365973647447 14.106371556215002 9.587557718421785 10.370944708387745 12.66549954811559 10.978262747364077 7.040151906793283 11.097202663636045 11.63038420336636 4.486343006407862 8.533170758473716 9.214834471782414 7.081930823625501 0.4764316986954742 14.186929855724552 19.94534349075287 6.173093579798275 12.223947422080856 19.261633625778362 9.149450187195502 6.107189865495473 9.857645167781252 5.47332014884997 9.906101016697887 9.10342592497178 9.874847186683498 11.709217778381309 9.393096313760186 9.871076513503688 9.390755287507607 10.573894217717752 6.828614450188387 8.05195430157263 14.885000214011884 12.022100631936555 9.507724809429686 8.483963850706111 9.084597647410932 7.722996723709983
100 7.31218678261564 9.855382714338978 12.188432170057778 11.157140083143972 11.167091175468368 10.531210572665776 9.196468080421281 17.08699668759466 15.251937228331533 9.133706898253095 17.16319869742416 15.846216146312932 9.854514907202466 11.624348249878082 8.679464067857383 13.472751873502801 12.828116281254639 13.68174365490328 6.767613962389021 8.258521747266382 11.879926013668857 9.582596151080532 14.678907401175918 2.7812784917025715 15.614684867524202 11.92487935935515 11.672517830490351 14.148214944936699 12.684507346464926 10.301219529224381 12.247070980631397 8.208591347615235 12.033953454523813 8.559087708032497 15.517651551180442 12.828613722936069 10.85277042966553 13.349024018558453 15.811908130820731 14.47552773988331 12.720820574538095 12.695791808604415 7.2204824622270625 9.712655789123096 6.726140049390461 10.163035718879367 7.562659416098108 12.50754504991598 12.323976082113473 9.402751128022091 14.997337252225973 10.802705712046642 9.784567322423243 15.703688399522777 8.82792159950289 15.224639941330251 13.788415413202266 16.879381829910002 9.096002372166332 11.037705479420936 6.365414580348978 10.42983291439496 15.086142461717985 13.325407104916046 12.762697713801249 14.578156550872766 10.872039239249858 6.479374830788418 12.575550730597383 10.667186784359963 4.943446112754323 9.03573428705411 11.873401499301114 7.313004274881544 -1.6945928314489258 15.279333772642818 19.02614014954723 6.782869371252364 12.59836934394621 18.91289992115035 10.71981123822026 4.884831451534499 9.583642135546233 6.999775008251466 9.503575704303847 7.499244343787683 11.272358917684098 13.612446784085254 9.876299026183029 7.731597898813539 10.68423915499139 8.885156899776906 7.850391708389023 7.517955781643849 13.674954814974079 11.85058370173796 9.836543978471939 8.230076298807132 10.423145087815143 7.70430852091132
100 9.252658677362675 10.584531194351438 11.680205457353539 10.406872084079222 9.41585274257342 11.270530712487032 9.198085784457001 14.208499303581153 14.801125929480177 8.547610520892425 19.406424430702852 13.843382816799686 8.534523348066463 13.46643281421829 10.996321145882227 12.778274550743278 12.330224087982774 14.72427812576207 4.3901148193594235 6.294455521580291 11.922608200130982 12.051149303181923 14.417777529555002 3.724224914337345 17.38984544879248 15.06646837823736 11.202955902030471 14.383510351963025 15.311572964237248 8.724994382213179 14.016455265391022 7.447807431547871 12.482021626381865 8.695304845967593 14.474109163432582 11.79996207701062 11.581271172267863 14.9580413769353 15.89709945658179 14.84844499450095 13.655205605041479 11.776203088663692 8.756394263730161 11.260756465783185 10.796777537084655 9.993296001950423 7.487739071545196 13.875733081051175 13.63953490870839 9.265514529298306 14.717773618289433 11.965594899072295 9.131336828658348 15.40886183528527 9.504781340351512 16.745910046789263 13.293149768264692 14.63918156135432 7.040815273936179 9.7917479500805 5.25773172518965 10.678029387110913 13.817807474822 12.648207952887233 12.072014353870692 14.333301548159012 12.955395532725053 7.895415557093896 12.939479774715474 10.533190111927013 5.052625779263719 10.02803026251573 13.045065490375132 6.747930696893135 -0.6471678491504249 12.983828802422579 19.332916202481787 8.24712214237604 12.657531742129072 21.296338709721418 9.994475927791315 5.917788454612137 9.908849629188383 7.376776480614557 9.730365491475146 8.150120721574435 12.789569963423254 15.71887373210698 10.341046403584551 9.256903946884663 10.053567914212511 10.379918866306117 7.374472730700222 9.519319307867832 16.871679005756125 12.06346290807817 7.483746106588818 8.05596776641506 12.48257805784128 8.930988224645134
100 10.184313975381205 12.243123902914869 12.751916652068058 12.418885781145722 11.10271068820969 13.59322215162737 10.149702012222765 15.735473505122151 14.68061681285258 8.407077193593475 21.72463544883118 14.439292644190466 10.223553429730108 13.959774153182455 10.705597816362314 13.112485716256266 14.560010506308593 15.650562760406487 2.955948701225168 6.584369272295004 14.665210302879313 12.133620419907734 12.409661947243729 6.992577686760114 18.509879079305016 15.250801300519683 11.036171610323764 16.049346170210114 14.755108025944844 10.71386589937291 15.093282204269748 8.39212416450849 12.980509363845774 8.93523161207877 16.094047498592197 10.984762680544204 9.825932876207425 16.01175988116233 16.98001423814771 15.750888341894234 14.342786824762475 11.762892003085316 10.310705101801839 11.635708625359028 10.69257096748945 9.930623659520347 10.664181812174785 11.942830638076035 14.490705026786255 7.6748416907741674 14.84668931552767 11.829395538143022 6.894717312863211 16.178985377425462 9.56691395603307 14.183401526114903 14.712729859165814 16.772023604202786 9.531940891773719 10.72716191929694 5.998266055559395 12.864226946117485 16.355062086991285 14.401509826251596 11.21143968495626 14.950383134771693 13.811214129042968 6.059382408330022 13.892389320626412 13.982498631270987 6.58477513728143 12.491009467384307 13.660472957015182 7.324160116907713 0.8484849579548432 12.393225432169743 18.0987459454626 10.321458495593092 14.88280718035406 19.919385405902375 11.727696392448943 6.543461121763847 10.725385179150749 8.489677405854477 11.406218282403938 8.76391353130673 14.98697620936235 16.353358743951876 11.621333552524101 8.590486837110939 13.184770988087472 11.444217979529338 8.86354126033834 7.947122690179432 15.991278675193998 14.052552283738791 8.488711800622351 6.1409800950833375 14.216419486248482 8.699228054717048
100 12.625976657600683 12.418938274937112 13.439287155764832 14.311534759286587 10.37969098661361 12.556046041358234 10.368064865846625 17.11044712173284 13.256277301728598 6.9353422030978535 22.785710108873335 13.963973637377318 10.3197205211059 11.878597833138985 10.344807582508018 13.429843063903606 16.047608413211375 14.821212809557093 6.032972921446793 6.292469581837148 14.096831048188141 14.51556810720874 13.14314612047534 6.97863142597355 18.50229753645063 17.296594661028596 13.290475138433742 15.181941398982124 14.887207942838774 11.264464912544023 14.156951105430846 8.945576658845733 13.294943280000625 10.90799313029404 17.8624015123509 10.930872541358537 10.015871851513054 17.09644907025728 16.446821679485137 16.76977067179534 14.363298790207178 10.937096292783858 9.559118314502978 13.964872478244734 11.063326218164429 12.4348239277553 10.427585978287345 12.765510064269423 17.774959195750483 7.017025746745948 12.662954988600982 13.968509907408043 6.4420041124536915 16.39758543126921 9.400136671928653 14.839953007095291 13.758435208821911 16.71822662354404 10.586999379695708 9.873340631135187 5.782779773377789 12.796799772035802 14.746431664923676 14.064661508491904 11.799958647401496 14.781993863621603 13.721214354976862 6.68124468893828 13.360507135525129 15.23893400870582 9.127380483892221 12.352124808335189 14.666301576546656 7.705607617739591 2.3236185065048995 14.963802985006577 18.842257520088616 8.371998361752059 15.835459828533029 21.496222698430348 11.862960980130639 8.600621344142304 10.190137438098231 7.055821889705266 11.91744352973619 6.993968927377548 14.956301916828377 18.244053329579582 9.578349986828806 7.408873179761718 12.03496281310179 11.796005404506086 8.917659589671473 10.402582303250268 17.4795811659393 15.004740584963411 9.307034086995413 7.364592744523919 13.421562438264488 10.336184368186288
100 11.703215156867888 13.808625872176258 15.398938375891023 14.87165422099846 10.669216274409656 13.406680703685165 7.148024431457564 17.752318900287538 13.516662030507844 7.702100816590927 23.63597968322334 14.225905145116442 9.486881829580373 12.16725462694282 11.015971171369289 13.915437204130589 16.477648069554 16.404615117078524 5.450269037432343 7.18272245654199 16.149905599418943 12.545220741476982 13.832173936056853 6.978508072272691 18.230440817514484 16.318935191784195 13.323684269772526 17.832739983204128 13.438547392093389 10.18218946220917 12.888840099475667 11.837162150065685 13.008981909957496 11.297246857280292 17.457294688386483 10.110129809143434 10.205462093231455 20.47204352474082 18.531295490558158 15.87955658675574 15.34962865050319 10.370261264048604 7.822470609275504 15.647538422139966 13.171430970363428 14.060117586335323 10.295323276999532 12.983706465504655 18.758839094408682 8.335989855788888 12.5760793534251 12.251396750312576 7.286674748825482 18.053620515773282 8.494956974538038 15.967283602699961 14.545279004839665 17.890912018291587 12.171226447999935 9.51057040397648 4.44276682175774 12.52186460452543 16.258520202502094 13.607885306486393 11.334602162738918 12.802562713960882 16.28840967160266 8.42054229898404 14.736573906798084 16.815444793617832 10.468916945327752 12.54412713072247 14.803879741752047 7.877553083092438 6.7487814872444 16.12472654921475 18.287751213820382 9.467634663705246 14.86106832142735 23.338407338130676 11.45350341377982 9.964212910839537 11.995924518412963 8.17118656845323 12.366448043238822 7.658869261772084 15.188157994815608 17.626835713513827 9.580038973638892 9.91692985333841 12.16358170680186 11.224259588161534 8.815542863205462 12.387217973523867 18.544476756625645 16.014467010921006 9.607213776462022 8.812989981094658 12.979977123105193 10.474191230225017
100 13.62967288645249 15.210235094333756 14.483908552779356 14.056338142456221 11.394701278042879 15.980564922828835 5.441891353437781 18.362806167876922 12.185036242202013 7.796246076399767 23.02927761738125 14.079903011787474 9.599974113373811 12.70727141942701 10.955418847986664 12.374115813750695 17.71936554328162 17.553133074336664 7.546395640461813 5.892406369720603 16.84584268266279 13.879085851960081 12.977236087895893 7.874334128666785 18.340493315977554 19.006167036883685 16.118065603949894 15.800435343489854 16.99877467620385 9.569810585784285 14.736817676235527 13.666599616117876 12.098667434422348 12.404826886664836 17.480754862355244 11.355401545265382 11.068732679980846 22.02308995711339 18.816898535252726 15.971485386910626 16.880073843513696 11.757845931936291 9.548709668036192 15.09239491019278 12.376464981957035 13.52778943112775 10.05254791126351 14.497327671813348 19.976159529749843 8.992023237457486 14.935307254714557 14.589200610676633 8.359026328609975 17.174870496785303 11.357161148000515 16.161730040183517 15.072982382745373 17.604799611022425 11.437986281481063 8.251599229933678 6.235359846515278 12.00713429778234 20.554248183987696 12.51273362364346 10.236932454734276 14.04184938380871 18.449849644647557 9.168212220238985 15.829463403281254 14.689242632813636 10.19094445610913 11.728333945378312 12.738771557564824 8.864222889091865 4.715361342441499 14.841659848852542 17.680679986341627 8.887575049784932 15.832598896604036 23.487280090595164 13.16397909716366 11.68353821505697 13.852880298938567 8.812892547739011 13.111537484662502 9.037945297635293 15.712252657338661 17.303370949627485 9.828527235490824 9.374839949489026 13.016888549878034 11.660659077049065 8.620948018598162 12.044731445423746 17.120493301530857 17.5499815209107 10.428084505878742 8.416586565529649 14.517892333722806 10.289282328371494
100 12.339546827124183 16.712503658383746 14.200494835466893 13.86944801788111 11.980917737548513 17.63154594846398 6.3503718434595 17.0118423051001 13.427685274129542 8.068962680343045 25.389942848608417 14.484002742265858 7.4858774255650555 13.663156382844972 14.11575911671761 14.87519247133524 20.247506492309427 16.32367831707656 9.590679976134997 5.739555841807833 17.398038417068484 12.591199984676882 12.673363644436549 7.813820335764549 19.760183388669926 20.16855402019298 16.592788059310042 14.301840206871322 16.68596561678999 9.209445640207344 16.31899152098976 15.645737504544194 13.908877620334298 11.815253101355008 14.079428247712334 9.499655334200908 13.420364773640143 21.400397702279328 18.008717154498356 18.40809387806674 18.533607132385974 12.32932537501097 9.826138538981095 15.260911120232835 13.279375096197889 15.84465209341684 11.175265297755494 15.832971376842403 21.369235757144736 8.279111947117645 16.262991961577995 14.613094256470111 5.769061877235002 14.650863319307174 10.660403509148793 17.111052755007464 15.547803542827316 18.016088220223264 14.43904689031719 7.323845875100668 7.0473296785162605 12.933439869711082 19.64367381338209 12.931387398583583 8.756845976705513 16.367326510334177 17.600207209861708 12.419021112396115 16.06425630333339 16.426116021353273 10.735453630954993 12.313129287809451 12.502811512184325 9.78322962399816 6.128759645179761 14.33348237765969 17.646370361100143 8.626021108614468 19.21284857495325 23.115566554964598 15.608661543644777 12.055213806481541 14.44388642970103 7.692430843588901 12.830674522143177 9.932051719967262 18.077667630301573 17.803012311534577 12.285322824399788 10.756901809159192 15.381181296620104 12.109365349263374 12.400886701499342 11.948079102225202 16.36102192400643 16.141219843236566 14.118216330919514 10.22422364662444 14.46911461164458 12.462505609051606
100 13.903721169684392 19.355977370340618 12.656641113981397 13.910338585322844 11.916764156553414 15.133390559506207 8.622824869374934 16.97682367134181 14.885088987138667 12.096196305123375 24.669631035788278 14.348296852878443 8.64014084620625 15.413895697962044 13.849941708993441 14.375569494275611 21.610960564372817 17.00328689684901 7.723791690884518 5.007682079537492 19.594483609091053 13.598169143645881 12.281190715768743 8.482761896708519 19.953740074928863 21.177875294947555 14.919295000093596 13.588217349298786 17.161936321501624 9.764095300266705 17.44435249105606 14.398028938958834 14.72375917228253 13.698881457197363 15.115721942611163 10.283888268720977 13.681824011362135 20.247790655122248 18.15144483338081 20.206949410396756 18.27655905297185 11.718295755325402 9.880848279558556 15.879033046449099 13.390624149754387 16.575209068995473 12.399997761195893 17.322532710028963 22.98812953145414 10.496494183990801 15.333698951513677 13.877398109635571 6.58311525772082 14.497792262388133 9.906404970720821 16.752781803419563 15.252758067224443 17.30068091353355 14.328806936773343 9.700441024627198 8.169216212976403 16.658587259122346 19.977374987149307 12.939419560105971 9.51186112148821 17.07682158627291 18.26299324821598 15.559307993506795 15.249398578090284 17.858924180452373 11.63331177501688 10.907625856650567 14.0872841891297 12.196376350139447 6.001600159570813 14.9099427022561 15.54459687937068 7.582851855369002 20.769633548133903 22.258192270868356 14.47379437839512 13.006177668473406 13.99972221734533 7.802929240035912 14.135995800010749 9.033084866298282 17.069410795363062 18.198051816011006 14.091777317053603 12.867584793977603 14.625907485968456 13.86656351225286 11.854114684525213 14.90729322290159 15.195044945849002 18.14145988339763 13.729559868356064 13.522966891951356 15.658633235813532 11.589645204446626
100 13.791559910705756 20.27979339041616 14.600286300487346 14.2031269999029 12.518583046476513 16.35689475507336 9.53759423992422 15.615487066337446 14.227194292221615 13.091843425468493 26.036493103465652 16.871835127581438 10.579353150381644 16.13772918323701 15.314368238830113 13.864726318515682 21.30818828241165 16.073916921697943 7.021881327685865 6.355811091732704 19.93230121499153 14.910222439586086 13.61900393079527 9.6470056790249 20.841289067234005 21.10690578015584 15.662392830506827 13.073936154600611 17.731858769646415 11.2826953656321 16.880874512294614 14.902320354318245 14.209815163242634 13.352989921421557 13.988049702547706 12.482063718856828 15.437198137220784 20.957177155234046 20.94293170810848 20.00063721180051 22.132568813153902 12.012053518283611 10.906462530705904 15.678458415007755 14.466440000963622 17.711959845504413 12.716046896006338 19.866367548707682 22.9563177461627 11.62415838003866 14.501567244157094 14.912192414005428 7.270003055015147 14.152777426727662 9.67712290129235 20.4672603923379 15.253470773186601 15.613870526710366 13.730169999272174 10.320130361373005 9.6702020627154 17.640702528613915 20.946818247065444 12.487308076757929 10.655962444205187 16.267392789085367 17.509794830116014 14.595366016712363 14.045119752880641 19.462440764484015 13.097953533136234 12.912409102490694 14.61577868214432 13.810760640153283 4.711923933535505 16.58336237741829 16.059434742955094 9.064765642807409 21.353066605903745 20.78117249994874 12.911324391103294 12.671334425830553 15.000260927441868 9.418174853688223 12.614645280157262 8.4326136221452 16.36714013085935 17.902278271999943 12.746920396409376 11.378718370491086 13.718605784979298 14.400203179454119 10.831109401518422 15.143324135492692 16.959613323439946 16.587626313038047 13.954334522916845 15.315448381682938 15.456655908117941 11.35304005148765
100 15.83220102083016 19.739692176211395 16.443583351716057 15.096217216101008 12.535247418708378 17.12256368691486 10.580574468768091 17.32209554575793 13.922271325285925 13.717620022425452 25.675054871705587 18.018292102692527 9.97672074747765 17.73671360989169 16.280532081409323 12.51189275643825 22.80261523190671 19.166853086130356 9.215332257217966 8.967517396498256 20.111045459157108 13.052727430602303 11.715363374895336 10.686309828105575 20.167013356104192 19.908155613109916 15.724118841447417 14.301411051738057 15.889782704273282 11.201611107814381 19.16127178553267 13.87465506326077 15.645442544708853 13.055738181167369 15.07579281761487 14.279419660023475 16.631387981849716 22.104629983425305 19.480777594124213 21.49779085657568 20.704783114307475 12.873158421842563 11.816079110739462 16.61268278254278 15.381397016677102 16.590384242317327 11.368224797814015 21.05675432761863 22.884793213837924 13.76142051574712 14.816798782770869 13.47204805435709 9.274812847327746 14.102638148127454 10.853335176165968 19.615286113041556 17.706599946111677 14.770278856690988 13.613059525384719 11.052506638853394 8.883251598883039 18.248890732967308 23.06434983429063 12.233042546083707 11.743191375825642 13.04659682146835 17.554358020474595 14.459250198690617 13.369485678527786 20.970476319540584 13.10591543378165 13.232350803481456 14.531342485107455 11.773885697272656 4.240341561435456 18.235233596935245 13.545993963743175 8.588947548659444 20.8791854367135 22.96191484745963 14.362078947186882 12.511158185567258 16.878332867475244 9.014877389597974 14.257781356977127 7.324164647645242 18.02501119270422 17.547910961157992 11.885379172647955 11.520251313037445 14.283936589354154 14.11124717675236 12.085691317565985 14.726119975127137 18.013025273163564 17.386902276231496 14.314518025287677 15.052895337514544 15.980513544866497 12.551295844915536
100 18.90169953155865 20.85573781665247 17.99631387008153 19.382927323497043 13.654113978535332 17.844145600149222 12.04097774955777 16.275485879624327 13.759955046682087 13.577462836331955 26.265471432333154 17.946751036371136 10.902187096261942 19.32236916679401 17.693638337249695 12.732636079999498 21.76680946753962 20.638250042357893 10.953861642729022 7.455881238522833 19.75892163968402 13.67441586702861 13.322942247498593 12.493823669702618 20.66957570427286 20.73219650946595 15.942947381538852 13.765910316799205 15.707093267341428 11.71929845027725 19.286293341536666 11.845384481504938 15.337812864039265 13.470214866701724 15.011396592842726 14.209704651937125 17.417240851244685 20.59888996970607 17.486963907726597 21.002306019340818 21.474621085094526 15.523440589883025 13.335124921488536 14.942129957375531 15.487066664755169 16.968147624694932 12.076237426413304 21.740339570788926 21.392819937326983 14.340828832427526 15.70679014932679 15.008315108523043 8.833141026940861 14.075976118449162 7.977672648609188 18.849100051584166 17.182513476946195 13.783481860448477 14.147808504605296 11.511070102813427 6.608801625771034 18.665551089459363 21.750454601745712 13.252232896426031 10.567943250566056 13.624397194233492 17.275989406179306 15.124631077227892 13.949887542010439 20.646482816268644 11.5279928752892 11.827471522931907 14.171712142796343 12.328684639190088 4.449619230076604 19.33870768426274 13.55844925223264 7.8688040760183915 20.59086077216931 23.039699990674972 15.135045717748667 15.510772670551848 16.07178040421877 9.487193455742872 15.033863551430217 8.000234897021317 17.528729136101965 15.724018097562487 11.735479450675182 10.527541881060834 12.203967279796805 13.438479300771327 11.16749364956803 15.841297217299433 18.97038596646321 16.38132582049065 14.381175355348379 12.955449069793838 15.623585671923998 13.466369463454345
100 20.179632326188134 19.75363036600556 19.555890022232315 17.424204613264408 12.417316609137544 18.81508039027125 14.675874843811716 17.249727330573105 14.137576438588981 11.256861757842639 23.345287008229988 18.276258391755725 11.135194644810067 17.96150535759981 17.98673444530716 13.305263955612357 22.891278781987346 20.720883318299688 13.185816268753964 8.143091453006127 19.686311111796844 15.431559769725338 12.554921775169054 16.673928302507623 21.261724373015493 21.24066118763371 16.74931582799277 16.583985763405153 16.907554055393334 10.100248444895872 21.275413513626898 11.954339714819632 15.707809520739644 12.127511562533726 16.00467825211525 13.621589110456947 17.65257507588002 20.21768240848166 20.236239066104016 23.566281495349216 21.261388327006987 15.906059487781292 13.265027957323795 16.723864109504767 15.465967961496064 16.441898219942537 13.78817496626787 20.98080166257582 21.13176928078941 12.750863224963453 16.915529465997363 17.905871748857237 10.411432418454565 16.405423977603753 7.702001508454203 19.24566248836682 16.148296612561083 13.891054062170124 15.44237978638456 12.153379691594761 5.58320574994243 17.068660975130552 19.927242486569728 14.221264376996446 13.820712837666399 15.905803202196209 14.919215212232245 17.20597402543814 15.555212165406898 18.665324763263328 11.655433666498038 13.860116036678903 15.313938744665466 11.165600282594955 6.243584032611657 16.786574943258262 13.648286426804919 9.933654220668487 20.706635737605815 22.167691766974684 16.59881561495729 17.1584887259909 17.888243138954262 11.169952029432148 16.61693076646643 9.627072221284857 18.060926921966498 16.145063448277575 11.957053425957906 9.42076358182311 11.256634079902105 13.479474604332225 11.986533738751717 18.00665170527221 19.035414434766345 17.91929411385537 16.19035210852778 13.105840223298511 16.708008729488345 13.495038233026838
100 22.041115083878427 20.459505681381593 18.116509505582872 17.782611550024043 15.078138463052733 18.566780493805698 15.595640839602531 18.26609096213672 13.247242467810477 12.680284749483716 21.407952087238083 17.621446131606838 13.302585188636876 18.605521156912925 17.804334571898938 14.321478380768985 22.619416076025065 20.624811496504893 14.599241933206226 7.910732960377009 19.830671193236505 15.324061297666907 11.113091938138933 15.774515518296429 23.376729936383676 21.720724218239553 15.112028202130317 14.8114780066586 16.870110246757672 12.76708706173379 21.0802341083003 14.266452660153467 16.39904441622462 13.19290783998124 14.547167012506499 15.171719310135165 17.319046846616203 21.352684080788244 19.265245520259402 23.604766696893247 21.426104634610358 16.015941850699996 14.262631492826474 16.641017866825063 15.080518059218017 18.58952990500439 15.527822398307121 19.97699027574209 21.650542884464254 12.418662321001648 15.621580990218373 19.470500872710957 8.807174463110735 17.93171150568973 8.318909169730922 19.043670894528137 16.968083188003273 15.092871821505298 14.605429129315336 13.615189716763481 6.712748352167701 15.672703894449276 19.801214740267 16.32104462491228 16.415902023941825 17.25420103561227 13.655956436607177 17.962926407293928 16.986527273167734 19.776764417839356 13.253311176690946 14.875817259782096 15.62043727022949 11.060563894413164 4.776267858559711 17.659101457140086 14.310483999572206 11.173933270089377 19.06307775068027 22.815376589959413 19.514352673316097 17.574351091979633 17.81006896244517 12.069204468091757 19.3488652046921 8.941539819900445 18.498518674942762 15.418864717504183 11.82633258924617 9.960204534595809 13.404667637503351 16.27605636528937 13.080293238860662 17.696023886694274 22.405639632035765 17.51961448197094 15.779290629040563 11.295219550313119 18.797925306770146 15.13981651500363
100 25.19708460412863 18.49924219227656 20.20069472324559 17.9860742438154 16.429763833988314 16.428712552590596 17.75311517973444 19.503311174610147 13.66769366565989 14.119261784964825 20.42050279731422 17.053155899915446 13.262355227507545 16.320228803139702 19.12984094194242 16.202521455843236 21.548806837651416 20.9814233325933 14.673456157720286 8.999645218574267 19.089229838356218 14.453334956491046 13.133666529514201 16.017724782191507 25.942132094526833 21.732588419400553 14.086520161180648 16.72646201669974 17.790895065096635 14.123406302493077 22.68348151229984 13.829402205220223 16.40247687513924 13.314304970990959 13.213866666056898 15.032685799907235 19.169765964180783 21.60182404206411 17.655647304353465 21.405722750190858 23.31404921708057 16.17322056025767 13.786714581472413 16.529247731540067 13.600341468250237 20.359791118357666 15.249149347797436 21.804234928370885 21.48521418685611 14.872890668772756 16.259928667127177 20.681939270382824 10.3974485079174 18.938061448580022 9.590970310180602 18.819932846823935 19.667419516279132 14.243667264425897 14.878979367153121 14.022962737470676 8.056851068815586 15.417053957328296 20.304373204213096 16.24598268078602 14.573962866778338 17.55962369183777 12.562486347678384 15.768946409733477 17.369960181510212 20.49386081842695 14.36209710894052 16.042880497544836 13.452612819086252 9.92055382907482 8.341845726417484 16.6343343989126 15.444691324852878 10.671121030991452 19.356218109074295 21.77824949065733 20.283611607264692 18.01106632277329 17.23400281072308 11.099340791795045 19.60725019738032 7.99383318077896 19.18426146850508 19.163359818707686 14.116725451369636 11.408554831200092 13.518677890866138 13.993672393298825 11.756853090122764 19.545614108281004 21.285310711203863 16.777426031394977 15.890641891755381 10.479204925323696 17.32173789963049 15.321571492635574
100 23.79965644064924 17.496069770153117 19.259653095881983 18.793335940403313 16.409982332535503 16.374499952424113 18.675535035521815 19.49531645064682 13.878711261900909 15.387852501519042 21.378842277325532 17.146134940020442 14.094596601446655 15.647275930894839 18.168204897415464 17.478047148414916 22.00909954814769 21.420782851623034 15.572799545127229 9.824628949766094 20.150305064178717 16.097042445747455 14.995966277695638 16.28727919892214 27.456391974430446 21.966366320964525 15.221233981609359 17.350598206740802 18.167381679358908 13.587240343880266 23.537162373603316 18.093732146583317 16.132467685072342 13.84024191652135 13.185461727826164 14.671781310912165 21.17413724657396 20.630325521112688 17.350063419567707 19.29235308130664 21.820794911658417 14.293412646303008 15.117567185310017 20.492706588748753 13.810392258311722 17.947257171046296 16.740869181177437 20.775534438416944 22.888281642976246 15.075452715577036 15.779395752681827 20.484412739111363 12.098341359220218 18.813665617644173 9.898335378822642 18.681240743322697 18.06549231409123 15.253226461207944 12.879268275723536 13.912967394957583 9.992863425444135 16.221515227875617 21.152203396312665 16.35352407070662 16.519847827884252 19.114462501872318 13.665218448447732 17.23020909350457 18.57922543080723 19.971339577562727 13.071687581687133 17.048596374902452 14.781441919686937 12.240846020759946 8.124628068858602 15.97232185683141 16.389016935912178 11.121827831995368 17.12521606303849 22.07416593233593 17.863879884321147 17.08043920031493 19.046369713506547 14.059276071855153 17.89045787207846 8.452143919315228 19.351741312604744 21.601593567125818 13.98029182392463 11.33429743754461 15.813007184063466 13.997377096775173 13.312093268494134 17.7102809464951 21.032593766156147 14.894804627708378 14.930383022481719 12.363377925834946 17.528892612362263 15.21067647249624
100 22.70289868938557 17.24969969501707 19.799033226984946 20.133019545328946 13.27598115640292 15.472376950508682 18.952993008312465 19.541039376206452 14.949217526919352 16.28061385494651 20.9945652234164 16.733117890080212 14.424277449868232 17.5315208919478 17.447480865959317 17.56601237546972 22.094806111808932 23.26445937364327 15.636017819315068 11.757308641279138 21.82069135732118 16.30434858354805 15.240195964768326 16.23176676562055 26.719752056938525 22.996187321760505 15.738693169285606 17.85990599260556 16.72912396410854 12.785133752680421 26.198794091656577 18.079700802216227 15.360178963736873 16.085081108190767 14.096216269523076 15.720840052525856 20.83219077136581 20.19821006647283 17.45922430194458 17.61380503130818 21.325449530685937 15.162726757481606 17.918230181659847 20.608105863744033 11.434176012701755 17.775101453397827 20.499965985207652 21.901226518783417 21.441583705275903 16.387193132060002 15.187878574202482 18.77338007816514 12.21386299000743 19.110823731527237 8.376801405476268 17.316067890213475 18.25670546132502 15.127359328044433 13.868746698598603 12.801934040031396 11.699956352278512 15.022179903884442 23.299473721242116 14.3032882917228 15.362921472324905 19.8802496468331 16.254907348970153 17.774800229171483 19.444618846783314 20.083561645189075 12.288601630934913 16.782895972036258 13.70870057654287 11.28142195913125 9.646901663974273 15.072192233030705 17.0699457436356 9.927531528474525 17.904323416101203 21.226967366036202 19.873205283291956 17.868221858735318 20.563229494261034 13.419399399031647 17.965657728365624 8.011575789703599 18.91089580087803 21.18780555461012 13.543107122796036 10.296320355591401 14.06942357624437 11.437874754419623 12.421117500204861 18.755221484458254 18.94501434009946 13.53582457960275 17.739491386171686 12.165876782351958 18.19714643082637 16.35319379207786
100 23.529035411466868 15.328812020558537 19.600401851197677 17.986279733868592 16.966814503478304 13.641799913712278 17.63784991001 18.353412249500593 13.449926862027366 18.497892648318842 24.1849449674776 16.409574282451736 13.310456369595945 14.857080669246002 17.40902400368317 17.31216216943556 21.09378177693595 23.23169367558777 16.583984328480927 12.693055234230433 21.347968891371647 15.137207079534202 16.588588943177147 16.612643149814506 27.540091688540713 23.866034771680265 14.060831193995547 16.15319621097098 15.881200023732847 11.914678244991935 26.855219596879344 18.747673627197084 17.075865066086696 16.800102356859348 14.824446872979449 17.487804159053912 21.31183067138904 20.302680365480878 19.694496891839663 18.00774039502247 20.59903085327209 14.475713367589865 18.99934573191116 22.21088827936254 12.188172850255908 19.44024699210121 17.841468745367024 21.74206136513191 21.120662322133356 15.86720424988916 18.69351481376767 18.866175433149696 12.225143735081655 19.294208463027662 6.773143545392689 16.557768096622542 19.692309243948753 14.71120607550152 13.176147735616249 15.042756095804846 14.06491484762587 16.115120811571376 22.554142299876407 14.324018985433277 14.661400947306586 18.74425403698395 15.110690565880011 17.060190239966488 18.162374726224407 18.1286824802868 13.167594436799805 17.467878863773702 16.488822091742097 11.166715537089436 10.882836864889557 16.08997184812672 16.944637266688012 11.469079122662317 19.23345084371279 21.51258127061728 19.56139587326993 17.698093928509802 18.581789153531282 12.752384020046653 17.153411436605484 7.392394427173754 19.610417982789187 22.704507464894988 12.886445393681761 11.269386602411078 12.95005560478577 11.704913106483836 12.058999558732031 19.67924362527136 18.21379578359176 15.361571899518626 17.669718443704678 11.946350901768303 16.759357210445355 16.892218751402027
100 24.605005185839758 15.867298240584383 22.61505571618874 19.953559227023916 16.76910081095817 13.569735115867902 18.380323069917274 17.492276554172346 15.46607362345068 19.224825130470368 24.33673692547739 17.587320917058936 16.162938891973756 15.470240898900496 17.512987871879407 19.431017941859768 22.28268097868096 22.531279379386493 16.91246431303232 13.342179162563978 21.795685024137047 13.689376298908252 14.920939436082127 15.757580558973661 25.9319841290353 22.829552489346316 15.152481524428774 16.190826829896046 16.314072794144543 10.830173586609357 25.920474285090354 19.653496307209924 17.9872030548064 15.986924981335871 15.391628804983398 20.409981516213463 21.13950532433425 19.408579814062914 19.59226649281287 18.318024546781242 20.15772958535282 14.839988945722045 17.197735427200612 20.845015607078587 12.672265576548941 19.080182723442988 17.200531419283568 21.445311803775116 20.982633289187145 17.437480027028442 18.686690948659432 19.537883416535493 12.002227294210527 20.1586020391722 8.261592932288753 17.93955671778619 20.66170832306304 15.86246075032811 13.438295028812176 15.687223832639816 15.839981729037985 15.5673233209746 21.651389665630667 14.854072639852138 15.555406138573543 17.890599399355033 15.281881811894916 17.06599549007327 15.426232666945516 18.04634691037417 13.431562410556218 17.550946310160608 18.645948209437606 10.265415516252293 10.483898296665643 13.168668427031074 16.510241813100407 11.360215601714032 18.76561634479413 22.80836303306948 20.719802776118158 18.073278504840857 18.054512401974918 14.470976619891397 17.180061609903422 7.120606414680027 17.44505265142516 21.992383096312146 14.378755889946616 14.700567202147122 13.307026864520466 11.282325133755192 11.019896528197519 20.45959055119016 16.104439690452068 16.406671940014856 18.959788154297197 13.084922132010666 16.742664168840633 17.77659545837711
100 24.647490597164396 15.018654401119225 24.906930460776405 19.46738008349135 18.0176242573707 10.81110330750764 20.12999544367378 19.721441425404272 15.907935848061344 20.181827238240384 24.849047868867522 16.978974028704418 17.339192225324513 14.807555377193978 16.9930507154855 20.910017818565848 23.382439477894287 21.35110196538153 16.29201037612961 12.893385950775512 22.68880323877992 12.8512368175663 15.887558418443358 17.126011855977612 25.545685091194663 23.999458237028584 14.970466817592252 16.196353432838396 15.208370348823626 12.799703859385746 24.622653091400885 20.197729649386574 17.9786052210162 14.823620947020828 14.954090374257268 22.056009326553692 21.248394090348462 18.172634746832244 20.13466276006419 18.316488449911823 24.409069699660428 15.633862403433097 16.923523076197853 22.66766891756106 10.997171417939057 19.068546158780986 19.948005391816377 21.242671114910685 18.497864155044752 17.26415258560253 20.714085716490207 20.145812953067534 11.464415941021207 19.336291149463555 8.533982579793996 18.589132942003552 22.374169288218887 17.57256555450718 14.445461597802202 14.270007866497403 14.415460593564347 16.63618368283625 19.875492223271284 14.848007738809615 16.276995448418646 16.719121406588602 14.236113112141666 17.085713203495587 16.44942556119095 19.658762554457923 14.722223518159044 17.964866166790205 17.863889620592584 9.698147218753379 10.59953454092021 14.452477135181388 17.193372922005658 9.09008342447832 17.997135429850164 24.11496609827087 20.77863366362093 16.507621648474505 21.10660950255156 14.73058380977041 17.735935068829363 8.54245201583542 17.205342245126676 20.946674664305032 17.59249893497327 16.268521404948554 14.656623963628425 12.700965034524494 10.35293646756396 22.130862511533046 15.374631130797713 17.062361642131755 16.98309639461224 10.981270228094786 17.45706691596292 16.824354090162483
100 21.87472486412071 15.953832495749536 27.36867956412302 21.2820182116733 17.831119531397317 11.43093438117484 21.240078367052014 21.333347632260928 15.838585969948019 20.387298560105457 24.98170596211047 17.97842438064007 17.549538707458126 15.099762106721172 19.10447757063776 22.381612391014645 23.74668099372831 23.410311894185547 16.178151842925146 15.436919744924422 23.26402712053819 17.64039695031397 14.775686597269555 16.529365845023207 25.842838132640676 24.27864399816831 17.737920836495714 15.616583313884547 16.63898554810051 14.818608362870403 25.331923602078636 18.997525249716404 19.895255851943013 16.72190184383622 16.129389557332026 22.038695243969265 21.37735033939584 18.243982789312927 21.07404202261292 18.54948772629956 22.73129033824846 14.64111746332801 16.19248139659354 22.790777160897225 11.82590750596811 19.212300809035227 20.543330209657498 20.390242843805595 20.360131314966118 17.278210980607547 20.132332576147316 20.847185304113957 9.683202296210418 18.44252071880544 10.80937721809338 16.463786995564387 23.66603221821951 19.753213769550943 14.309952160523647 15.080184513450629 16.289273987350143 16.329802638759425 21.114395882239734 14.269243314290161 15.933085192117604 16.085021612830893 15.054733065395116 18.734624695197823 16.50673868385899 18.11807445252374 13.726421321312404 18.770554375275246 20.514055805169942 11.096507950451473 10.883873026855913 16.115451460641147 17.07960624902915 9.244389493505237 17.069177142277294 25.579557981286438 17.42800272722379 17.94894455513473 20.255624447668712 14.48047545136398 19.95013405073639 8.425061457389456 16.583109783316157 20.756529727374705 18.3457203689849 15.841512890968408 12.792656053009338 12.148850061668297 12.721411305174222 22.10876799074875 16.39184160222181 16.965014643565397 16.43730653712839 13.886862165569632 17.463837925548294 16.42374651142464
100 23.334761280630893 15.20873551517321 26.00518258531354 21.133792602583654 18.028940490587985 12.44900998593134 23.800937309240428 21.804187046310066 13.212052980240475 20.987741507731343 24.704750587582257 18.279945096873043 18.315181228128775 15.57959917318758 19.222468895080286 22.91701505392043 22.69601211696727 21.77027509524678 20.59191112654664 14.792825851992875 23.18182642038875 15.895644424783297 15.56482397558337 15.736486137306168 24.939067750594287 25.322601269219895 18.372179244226537 16.761614510636214 14.51009301553454 17.63263853104456 23.464194102364242 21.157748045952268 21.14728054487353 17.65772108682646 15.387792316919645 21.893574134730393 20.55249559169537 18.486054074994914 20.789650274193097 16.11120137997102 23.649896760959574 15.079606078566869 15.930983461638343 21.849421953119414 13.26312601331017 17.87134613391613 17.48761239774036 20.95523449780073 20.80658267827374 17.457317446717784 18.672813370480686 20.986750713288075 8.684310268497578 17.3543290820713 10.83346990063797 17.923770413761183 22.876922787179442 19.22753308974038 17.282796876174178 15.98528471638763 17.061967572476554 16.2432136818848 20.35663464438266 11.83852266294257 17.56149679423718 17.219910399153303 15.197879580198375 18.57479870161646 17.818772413047636 16.37858924658466 13.553965857311606 17.572868799814405 22.873709462098127 13.179869811482027 8.95012845704612 14.800749952628676 17.158386259896034 9.40066259771661 15.821632087614901 27.52412131027401 18.090669002653417 18.920988435099098 19.13496131289898 15.787344617969902 19.263523700412108 9.053211010646065 17.754402416393912 18.631735717325984 20.612169004090948 16.29808686530657 14.855270500401224 11.499583423541528 12.151306974552137 20.455422606075714 17.144530441827882 17.354650202741688 16.263724587412884 13.17455835074383 16.122116954311743 16.612160713147798
100 22.63695935361534 14.555100771987837 27.601605912112632 20.89415700166168 19.84068466724059 12.281024699324165 23.75927816173138 21.72237180113686 11.646202251593511 22.9519933387538 24.259377576758173 19.444921253401052 17.673300794951448 15.789345434111603 18.25306980008508 24.24322729354522 22.879140520344315 22.020012619660164 22.41655942430433 16.608330354058335 23.992852434254196 14.375048502890104 15.16661651286307 14.876592501827428 25.66632467778836 25.172952503856457 16.52918396424755 16.7839859173453 12.904724250973953 17.707423421749194 21.184803837984397 21.817275795888204 21.463963211748805 20.225091250351255 16.885502207971903 21.048540360800974 21.494920361621762 16.832177000090628 19.5989492180904 16.941916226863842 20.281007582613583 15.482951259740796 14.958301446897826 21.86970738331791 12.612942081075689 18.375838516662334 17.66090458284637 22.759817858882894 20.57212591902385 16.837124433340342 18.50530406964793 19.24891258256407 10.110611779500857 18.435789758985972 14.940225354998597 17.317501377992 22.310255185955093 18.574534843828552 17.694043758510812 16.806278976325434 17.22535013273958 18.016959695333934 19.634690347126558 13.697035915596103 18.454912597528843 17.60409245951739 15.114322869652042 21.759736076498758 16.964322962228078 17.166838833257987 13.127599129642709 20.247166533658778 23.877064238158997 12.970431819464146 10.616501948506716 15.83456859980167 16.705538280146545 11.065512015253436 16.859910906470976 27.114727025903626 18.21030564179582 19.717669790281796 19.329692406027174 16.083831627998073 18.315915878511458 12.097437113205567 16.62819988843713 19.361806357115626 20.17436005120843 18.74397598304668 13.862693453330463 11.27194117074216 11.505262872309176 20.887972729750818 15.6796952458013 16.972581013102157 13.867038900095626 14.092312693757794 15.85984788761004 14.887688408730813
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39
Frechet_distance/test/Frechet_distance/data/curves/generated_100d/1.txt Normal file
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100 3.8278677877230525 5.623132095765352 8.55979496492125 3.1474967050805764 4.226904468258874 2.1074108187581677 -0.11420823414586967 5.750322759346892 5.157713895440769 3.948837727139379 5.218375715993333 5.572289423099578 8.123708415629983 7.012508700731354 3.2386243168766127 1.0324219248188842 6.7194332464556705 5.707476097940412 -0.1285305946722053 2.8473611104183085 5.592545842156447 0.6627486418452824 6.31128109949389 5.518753689870496 5.125151109175748 5.759162471483685 8.86824305159796 0.3131745485955669 2.1429901645183045 0.5926767286498418 11.065217045871544 -1.4899242420380836 1.988375841296794 -1.7164333317750682 0.4540610706829662 1.6984190524002538 4.03164800362107 1.6472630519518303 5.790643848053202 -1.9069487924637234 3.1956005060500763 2.026671419963847 -1.4220307566439552 9.411620503438446 11.783153001725225 0.8592014049341364 3.404450838149669 3.397250442712621 8.343092720637365 5.228017106519272 9.61582485333583 0.06106907366904646 6.9999756717729404 6.406538210846783 0.9082260344960204 1.8765008329838029 2.013036963334815 0.4997824652742735 -2.0702196160859168 8.739939924608313 5.69356295324523 5.319012099055012 5.662400741711151 5.947225906618 -1.0991503370395064 5.759590214583156 6.828533452714275 9.709484524166214 1.7847967856750317 -0.42343016319530125 4.942939973775955 -1.544629222170295 6.408995459821803 6.025189505917616 8.844820450006639 8.571621749411321 3.734445145667816 -0.822193782592838 4.952098854998812 5.20331860537999 0.7422612045712668 9.536174135360952 1.3797869813396435 3.3728847480863884 0.3961589212873947 4.480361353352567 3.7462795950775822 8.239611368054142 3.6828146327213798 0.9861361856695771 2.442145141398357 2.562843218283678 7.116218910700368 6.107314580352705 5.927060815520862 7.692531370987128 2.5432771220599224 0.026959658314427704 2.5153842791420664 4.617726292345698
100 3.4028149162331855 4.610559575237987 6.953098502779531 3.5478542029243023 2.9906770707421573 1.5167490750477468 0.2193355281940862 4.698553977144732 6.321705919703579 5.697607115408129 5.20505153253645 5.648634161287363 9.430103345925291 6.666904471531253 2.987551292262921 3.3863322131880023 8.443254955590689 7.064676432551162 1.9950005166724893 0.9481198737896803 8.015316745134417 1.992693099080714 8.278921787881549 6.686260949934923 5.929621503554107 6.0540047017900065 9.736042775656019 0.7500968444168017 3.973068445796265 -0.6647437354113672 10.829510197762318 2.127371917593617 1.9093805848323826 -1.1502028742312773 0.1484178572744772 2.8534720637393898 3.723166817373747 2.2120072171884964 7.569276658333739 -1.8400031666075625 4.814880470853241 3.8848779655708787 0.8739316489128034 10.07242211073362 16.440146467995532 2.9373138523988995 4.506876214153191 3.0049701670830418 8.629459681215607 7.799435253304137 12.30500006089763 2.8869549477729866 8.547438078032805 5.403742488820231 2.421587203066288 1.0544455521830034 0.8653103908473934 1.6637063994168555 -0.489939135448749 10.389929180625362 6.946061672449664 6.6623263128479095 5.054283628611942 6.355467705123923 -2.158763600984792 3.8498695457976035 8.31580417928409 9.126670676646537 3.7130453772932226 1.9421756343670118 4.785461254743687 0.22277520075159374 6.181352363480792 4.273063150502329 9.515409249659607 8.580582071483065 3.8497930599112578 2.5285555187859683 3.7047011384973816 6.311290961646138 0.2825349856171109 11.239692260118893 2.478347368181464 4.510574972378487 -0.07927688478261086 4.10760860001535 5.674679086418148 11.076268731525056 5.023790190429042 0.5575892392582864 3.508175436023463 6.470860387011758 7.776625597701519 8.630332046124849 5.6085523673063635 8.174388485039717 4.141281310904991 1.4145234558200004 2.2999952356059454 4.186960063601216
100 5.520177680171745 6.751471170359202 9.545001155072491 6.601053825879168 3.913740631123697 1.8684176039536202 2.830448344640925 6.376337595478781 5.682377861574901 5.085360156416857 6.56592972925937 6.077534590675911 9.962965852086988 8.675556254143682 4.773580176207993 5.832230035393698 6.446731632058565 7.925597576883355 3.750515883381476 -0.2622920729420293 7.7384525605721475 1.6847891816266563 8.892320935435043 9.433889099485839 9.285289395756305 5.653631743152982 10.783792958667322 2.323272207588609 5.117831681357792 0.7372594137470535 11.716394953499778 5.147561765155749 4.101798375451988 -1.6520817077092298 2.061908478131607 4.701318901554328 4.8132872426695545 4.486768982110622 8.429405751463758 -0.5793951292084365 5.51185207409956 1.9907135685796944 1.6186637996980886 9.666135208207583 15.147900095398173 5.436959239630157 5.812977139442392 3.7510821451637932 8.306788203498444 8.80833681772119 13.95504066279378 2.6166931245296956 9.014412448377021 7.223929631687654 0.7428881778353662 1.830117942841513 1.1661893719438914 2.315471706457071 -0.28627198498480066 10.985001299542327 10.014822472272478 6.8525940444844435 6.1513377193871985 9.490736157849408 -1.9018484627970493 7.007662037297964 8.79629330589389 11.876357192655416 5.419589824081472 3.187830380695451 5.373073545436146 0.36174447647731633 6.939694044881506 6.182906025459165 9.993470552833678 8.807261323318448 4.225610455375983 4.475688522023809 6.10959388895938 6.022558872734021 0.29081165676133414 12.195169045473579 5.1463204440958155 6.6128869137632815 -0.9114347509281395 4.420920511205714 5.123132712009301 11.152920668474552 7.787137956409531 -0.5138538497731444 1.9996673376578706 5.99466628605836 8.663136491009112 9.96608630605379 6.853463583019311 10.233251731340282 2.5936736922174917 3.7937528671063707 2.706819129407334 5.796146047198196
100 4.569084694229004 7.275617377998793 10.384734965108493 8.700230228042692 2.5892033699270818 2.6794780593161107 2.189434058431237 7.737906905842772 7.386206180498313 7.548339645201708 6.5587613699414575 7.949613487947632 12.298123400483767 7.086506204277018 6.31955046098743 7.712271124681033 6.7378111606709625 6.86530361817892 5.783004100493617 -0.9600588459835989 8.117405632254432 2.463718784438343 10.403508702651504 9.15020610085207 8.997076218172602 6.485848454983485 12.422034965347935 6.106075209205647 3.7725940031409255 2.0022888551282754 10.775312238478017 7.193346217121455 3.571205156055273 -1.5937578072560221 2.1229610918836586 5.233243327242099 5.891892468636928 5.847840638407924 9.023237230438665 -1.3252066748003941 6.987404737566564 2.7684875782460474 3.9787600352348864 9.246178468749836 13.384785849338899 5.9392384761534185 8.114964843723325 4.74308591418462 8.490521655489834 8.279958231503471 16.540230076764594 2.128459521550192 8.542590038623027 8.601330353639263 -0.7202259882355417 4.336818424723799 2.858004528682806 4.314119054274973 1.3208122299266352 11.18140460063759 9.08292219589937 7.298197641499931 5.580351856652467 10.54285975333482 0.14696531691548276 9.613745334044669 9.750490701963736 13.402819094930862 5.716091964860751 3.3899163204600415 6.662362507356247 0.8421520130641595 7.941639737403186 5.489276833261928 9.340786404652631 10.287346842677067 6.091654034321101 3.7886375577924856 7.716278611007443 5.945588522205768 1.2253336358546731 14.474525990926962 6.783502412880615 8.188474063498031 2.436154073725098 4.175019324509583 4.552114665542881 10.652469640203101 8.034593949192026 -2.715623923790326 2.4198752005941175 5.934213885635867 10.175303022369482 10.913258157328304 6.719269332125968 11.457733746651595 4.380054609406311 3.5538303445280452 2.893063937548197 3.514405924531012
100 3.9504668146617097 6.795579374264014 10.96667965231037 7.962840345451983 2.7053388415580497 1.8078053437640986 3.1975261946688867 8.922181181393666 8.513860847165596 8.229234076652222 5.232318465076858 7.714340153785566 12.21937181332628 7.17190855042642 7.084255023736876 10.10363124705861 8.397096479642869 6.134420519007557 7.365915214637952 0.7507815128744171 7.652774466912173 4.348939568434714 10.697768785818848 7.851974674869914 10.19335247232423 7.421894506504796 12.376287517104517 6.681663338777283 3.5026137729666997 3.5787592896543123 11.224748953728332 8.026255303187536 4.737233491885703 -2.177944902096328 1.7706288412906752 2.9564844938801027 7.224505050887557 4.930195993456678 9.759799765406804 0.15707801762102452 8.224146202554532 2.0002774224732534 4.6226829989208795 11.92810434273721 16.007501083505474 7.737238731292738 9.05634206257142 4.161020769894352 9.852164685408221 8.691206688979976 17.44700180822504 2.1635848738504366 8.802263072708897 9.377944314178762 0.5996028584690724 5.700555779773455 2.8939028308483903 3.2929756254847353 4.226863733837547 14.807495402418812 10.149218667192129 6.173854468823596 5.285950403961191 11.570096268102185 2.780720902280227 8.59368016429349 10.008581049807505 13.907490389827313 7.497781050736765 3.743890837551941 5.23313514970045 2.594044767933324 9.99945403290686 6.087490692579013 10.382124571761482 10.24648303948984 5.608954781492047 5.738220478746258 8.869727700985655 7.191633407438874 4.0333193889109165 13.430039372354878 6.569271224086595 8.854273483061272 2.4025725013076364 5.86194310686793 5.032812046758201 9.815636206717052 8.677351152640664 -1.5501400659140647 4.294059238199187 7.08447523158961 11.191285448130092 11.767496006529466 7.116327545975895 10.921012472797091 5.506479102233155 3.8778531901818485 5.894478855846975 5.963217353863164
100 5.650194597070956 7.824994853377061 11.339209303904028 6.87994777598322 3.249571270096211 2.746113210920185 4.280459719117151 10.144649793143161 10.298528025748464 8.00166271450516 5.125635095591541 10.216772308228496 13.70332040883041 7.306222260807994 7.615640535857992 10.426036735761514 8.998514369617116 7.37013858352886 11.328734113532152 1.846809643240573 9.154814047863347 2.8949249853308334 10.586324689116335 10.078584913812286 11.299939757304353 2.364561353801215 13.520016726305519 9.809564026373376 1.6257525230514704 6.30887180680563 8.136057553307205 9.859386899780922 5.414105314404518 -4.23290748191433 3.226537522456603 5.193798797382575 8.268169301310394 6.432338316115489 9.787518357892315 -1.2735531710494536 9.545291870039014 5.1568031683438065 6.832790906137299 9.75661296780862 14.33025430286116 7.096756789695322 7.473257710040462 5.014587896619015 10.751511225598325 7.465983645455642 18.602611349031037 3.852827879195774 8.590876434160325 9.713583545899278 -0.9385280169889896 5.968620106888942 3.7381497294994666 4.330102951371911 5.4217387401594435 15.364735957489113 10.268297175447806 7.232603983367635 7.356268643739441 11.784096847708499 4.011268062494803 8.990782435635694 9.600426560829993 14.828056465791082 7.387931151772368 5.077795349819178 5.978478787851014 3.116163675545501 10.105673638589359 6.146338703812391 8.738180900949517 11.356873565270982 6.587063399679259 7.401619120969795 8.812377918095974 10.241120690399859 4.311802563588517 12.688961169888548 5.821475567885279 7.056479914171867 5.138789462880145 8.272595774587776 6.558681615149614 9.171609993410023 11.592005964042134 -1.0623395844698962 4.553277617969288 9.57544868536735 12.440743684380447 15.052211867891728 8.101034551479064 10.848719582598196 5.453300085675627 2.263912195237723 6.241533766190642 8.08017415709804
100 7.152890517656859 8.295687299448515 10.472752202369708 7.72879620333894 5.2937286542330035 3.999265211355916 5.164232559149202 9.612439469230415 11.882285488190325 4.55206276654817 6.339238804040994 14.010034938824406 12.116153813135705 7.571295362069109 8.192774974118509 10.225656209900533 10.829674284297955 8.495918710830042 11.96127369019828 3.6086116190251647 9.694251004856232 7.7643880761562105 11.260329064575075 10.808013900163967 9.559284121652164 2.469133532145724 15.205206509927507 8.514376244516578 -0.44372015419952415 6.918951823191253 10.521494503435909 10.393180781931257 5.574011776099973 -5.648941800977604 4.548311400596387 6.630573165056691 6.425812441555253 8.517015719609908 11.294131312954038 1.1613583161358874 10.630123991097584 6.67160590978849 8.088423662123944 11.356122694267262 12.30498300975468 5.591419239695059 7.02957287733564 5.533298820604379 11.569961909482117 8.518779062529843 20.136727416440806 6.098552322552319 7.922272714066253 10.518791278771127 -1.0663486513366647 6.349431335970942 4.879433659935064 0.59793897522324 9.143563865597008 16.294977874510682 9.909915750454207 10.317096499187763 7.513094148651942 12.254857054196105 4.068664179928211 11.702852186241497 9.875592871046702 15.20143904133683 9.514708077747601 6.537575620360785 6.520365216631603 5.371865884807456 13.886091213015046 7.2112951552659 9.412863686057218 12.087920164808242 8.864315114582297 7.058785531771277 9.029797443259952 8.642350599245237 3.4635179718109956 12.409162875172647 6.2766015729355535 9.850128155462397 6.393271902634863 7.553618218787131 6.2238191014368365 11.461065480105459 13.439192557593426 -0.1867448718232928 4.521023858127896 11.49586602674971 11.452535363419756 15.803831377061794 11.614577571036598 11.522880912471662 5.122940214933832 3.5843870854413256 6.261004784709573 6.748020576659947
100 8.684540546392135 10.147961629458107 10.50629398429141 7.725179019288826 4.644839674965857 4.405717597900016 5.025028626187279 8.794482833502292 14.706871170699795 5.885964809433158 7.707713484142216 15.428100027684208 13.535701811543282 7.568522999603615 9.076605192784978 10.261793009744098 11.78012965860647 9.37566750767994 11.847077180146911 2.491247333512792 10.349722444341003 7.991530674269931 9.224621727509158 11.885880169041243 11.340614893172265 6.515554329555668 14.80972068601201 8.282528583507847 -1.1083576187265713 7.700121309814847 11.25481560972792 9.76739556420882 5.902162420924911 -7.221207167933768 6.389411651788677 6.113168600368409 6.902794784516867 7.150931395115201 10.95660755533166 1.6046771856282493 10.87812193941093 7.859312646669679 10.452631573994688 12.686021193763327 13.958412739314348 7.9533042912106815 8.271690714620048 6.1117276315309095 13.143775114295957 10.464424542125984 20.993924682019948 4.824113632449709 7.294259585111955 10.5946342955179 0.8700661134533029 6.895157110225071 6.9913367544095575 3.1196087667931662 11.102553026273599 18.00657332009947 8.968373366236605 11.36297112242719 7.2899339685741165 10.372836367302963 4.343044811413861 13.845173577775768 10.850937465358165 17.97787794480196 10.186858190173588 10.318135202888765 7.305761529855826 6.073307172529557 12.519941700883972 9.225616032072484 9.224834773944158 11.696307358718322 10.976625870368581 8.989307070846694 11.038050247443891 8.61384283542633 4.082656923358338 12.713301576476852 7.772294046681033 12.220043438054375 7.345538600547383 10.590088189722719 7.979857598781903 11.534780578077552 14.80092545802726 2.7851621457626754 7.631552225183141 13.391245766106353 11.812003155422882 15.719135966865826 12.745610887469741 14.054840534585455 6.3388955411404675 4.862201073310118 6.9208109626304335 6.828763502402729
100 8.997288778697763 10.627374284094103 13.14968109651312 7.870933142453417 5.302943815748117 3.8299027433537445 6.517972723470807 11.068999555561952 17.05230108849821 6.782149817912269 8.988008074592896 15.427019075356942 14.559202372277996 8.478626509996628 9.615600485097959 10.801932513242285 12.688296494930547 9.368420521532302 11.896238771627631 5.327608551289057 14.2852457265391 6.879872591849564 8.062073538582403 10.992510654038277 11.632007469365853 8.237311167810933 15.69982507249843 8.955162000470757 0.3353279684969498 7.2492355722126085 11.35090720817135 10.168298031772519 4.351851442177374 -7.730910434073143 5.458457871824429 7.581555627762621 7.6936917491361285 8.45700802661219 8.972157392561993 0.416743704473878 11.977460366448199 4.731008556982198 12.416841093214364 10.618836831673477 15.369108552583901 7.159660340026415 10.058371606987237 10.84814922125728 10.373954111012456 11.81060854080017 18.623429216690138 6.0072655524408205 7.487307320547508 11.167285499604263 0.47700807701448333 8.427460460974778 5.62243488511818 5.398972442039055 10.870685358175374 16.25262774391439 11.460012704337794 11.628099448728477 10.310710629951897 12.279131837689494 3.9036185184711334 14.046643049275291 11.324168326148953 19.99887028447136 11.144620683907455 10.963460831340843 7.536552686354885 6.611919018501452 14.547678628389527 9.688626186564168 9.155122841962267 11.399828958084155 10.594782257244912 7.491100377667526 10.489050423818778 10.978381551890424 4.43398119480624 13.976061581381998 4.941549450965589 13.196377623054326 7.543943123386944 10.28763095689169 8.701207072190892 11.243314776136668 12.254463617008044 4.577761642537093 8.309023056108018 13.240979406079536 10.84838306747235 13.996638958120938 13.351955764599692 16.388764570610387 7.168547444246616 3.660509162998631 7.74498701192013 7.2325282576907535
100 10.622125299805303 11.695481677389187 9.569981026357205 9.022785511470378 4.551833351621664 2.5420341915298508 6.766926009676155 12.005375619755995 15.059623223979733 8.283788391477076 10.45521286325925 15.682832326393644 13.723113475235664 7.663241069516415 11.38321792237119 9.170985517694021 14.352204684992712 9.521847729153821 12.127167974408541 3.6045979607534107 14.349380645640261 8.164878747703302 6.834357204192888 12.018717427706061 12.154144513469618 7.881731957608345 16.89633210491258 6.507090828084871 1.472834174090626 9.811736920512395 13.624667933653212 11.07865349616361 4.517705866554607 -7.557453757585064 5.616811075417442 8.698791054452107 7.077159827852523 9.894033542970652 12.219642748679332 1.1076802771815182 10.420707952248547 3.575905241807821 13.717020308588603 10.916708816231317 16.76386109810493 6.850522949616308 11.485479644317557 11.01793292126588 9.708298273298889 11.672004473076262 17.137505361536757 9.16486557386166 7.807641191359337 12.37961253381199 0.5708074021606253 7.509552821931763 5.874262064202287 7.3966238861416365 10.496878018891904 15.255550743822766 11.97793356251903 12.612659156695733 12.862459457715696 12.97922070885581 5.344065835223587 15.280009490787672 10.117117645962617 18.7061118272753 10.080777575616704 9.61535400686169 9.043079418686844 7.561266165169876 14.899618300622631 6.749916405851374 12.265102695280437 10.677440642583763 13.60812303750825 5.982064359447416 9.871972042795242 8.433709056774232 5.499383313914658 12.836947743631141 4.037902606856297 11.608090882291231 8.947279663406144 11.541158482640954 11.506261857339437 10.70922406026461 12.845772737049407 3.41597876752854 8.202394329624784 12.82505241881979 11.775428638440935 15.568664822409941 14.926586420700994 15.436634082085583 8.989767200614642 4.233093482720664 7.813074991149438 6.760157587737408
100 10.33718124369415 14.200984707941839 10.40990321566871 9.651849663590326 4.796608581541341 6.334970640312938 8.95118605271324 11.437081081269984 14.921069645607089 8.53760350160799 11.06693418225149 14.957520964459762 14.619189466188056 10.042862515420916 10.04491093275204 8.102398685315624 13.942634678243804 9.318786347178396 15.074237002292245 5.473276574577966 15.831106832207157 8.262797940719299 7.021924015854544 10.472870114464616 13.559615763100032 9.018138912085888 18.608526196756426 6.743914014226158 1.9365320292351733 10.39539658951189 15.101972031520061 9.538954026606337 6.029986423307791 -6.584097988409743 4.790354498618622 6.359223586421471 7.358986829443545 12.176659907684932 14.750482697507199 2.3198215541188865 13.222866800723752 4.161088477687034 15.199329994142179 10.696781200942606 16.298285371548886 6.368671860073494 9.10199771932126 13.062737693864625 9.18803844633576 11.020640051025588 15.730882361180708 9.354071245470818 10.536549234457196 15.432256958730934 -0.7949313438905361 7.536322763223241 5.079546179063755 9.175175196378168 11.188843461522284 14.601513960385631 12.370445491697632 12.292543405907995 15.282527927350408 13.905388652930299 6.767185050153196 12.066293395378189 10.370092149274946 21.422859488610648 12.192792907573798 7.651733296318538 9.053763521104909 6.539176039393505 17.36087592325207 7.614149543636714 11.589200587447472 11.192451406002606 10.451979831250702 5.006581183031423 10.384811346472409 9.951205941033313 3.5336426641648484 12.679311550041945 5.879433105109583 9.979008931095544 9.587107155509008 11.90995016729801 14.080436327340276 10.790091372913727 12.909029313050798 5.089455352531355 6.813301052305995 12.814036561519185 11.473053670112952 15.579718538961258 16.25764131776716 16.337804235823477 8.473743119884032 5.023039993948252 10.241357740996463 6.149044720746269
100 10.997213222541832 14.100471707590266 10.75200368730679 7.924655378805015 7.229171925993657 5.814980315855563 10.705166268989585 11.03508857734377 14.338908645245857 10.65745868965702 12.77312140085862 15.450952102627655 15.911378329017685 10.08441919596213 10.470641811772275 7.697916601705781 15.361084249016596 8.804211203182257 17.250810465853004 5.577011486437069 16.063019850832283 9.703875428815348 7.6268630994895945 10.501292196669256 13.869161696901847 10.652347798500887 17.721006082924074 7.1010165643697105 2.6045269894408727 11.8728262663807 15.243785205805523 12.336577383299863 6.343436593448987 -5.893086718336607 5.171673866265247 5.1248762621270325 6.477022312818587 11.812482255364722 16.494272457571665 3.0078339978268134 12.743166445049946 6.398123729781748 17.409569688189542 12.718281004071173 15.41893378552208 6.158197951849143 11.860767355955671 13.68118880122957 9.186667901298627 12.385822220723924 17.228288957646818 9.076094764316736 11.166993839278874 16.859439079551596 -1.42529816909343 8.057647111452013 4.233428684441845 8.338860200987588 10.761124566626252 15.427842503815157 12.24593454013469 11.774375526912053 15.58770212433247 12.601088664578073 7.841931770822873 13.92732397209619 10.610004761476002 21.06079479138806 12.997671698089496 5.54689380331339 10.185449344945857 11.172764019761257 17.349933083359982 7.992813277768914 12.91728662200187 13.799735545612073 12.086778030470207 2.694623504130252 11.580326345056074 13.668881420138215 5.000079836705253 11.53544968165061 6.722242513751544 8.646331190116605 11.519489306500873 10.946634652684933 14.433860480373017 10.066461931316487 12.493511433325224 7.53889802432726 7.35084521649721 12.374279348666247 10.297466931824413 13.345090880275082 14.815210227207142 16.635408135164838 10.243348944024085 4.899141525077229 12.696569394110728 5.728236868032941
100 11.145508083816404 12.855942340538775 12.462002710520226 11.125402549273332 5.455227991971503 5.886480067425637 12.70990699108761 9.58762437237802 15.336776841002651 12.71717016920671 13.231173833685656 16.374628077904685 18.459174862435603 13.044074162597106 10.821646312348534 7.490725414921206 14.357393988413119 10.492943395186206 15.631718188434075 5.773225175637338 16.398102895403166 9.458850057841353 8.556066449945144 14.261394674821746 14.056865439129686 10.505346029457852 19.050513818851233 7.93381047236798 5.121510878516682 12.390209403479892 15.194313865758831 10.363294693055899 4.756512804535593 -7.2794950158918414 6.269933361008506 3.894886142555546 8.624038483753925 12.201468758867929 16.380596762985483 2.634459104419734 13.72618676293801 5.9218557409376285 16.23779684647927 14.58133307276694 16.151846470444525 6.306888449256824 12.994557884821372 13.98117932596518 10.040929607965852 11.711826883884662 20.052077384162338 8.811880365554808 13.519039712571995 16.78475027940745 0.5522729545231171 9.510406945377914 6.378298378213186 7.734857592595862 12.48972292412407 18.006457439717764 12.217088724310313 12.174486141692173 15.139653241946062 12.395797921057131 10.554896666370679 12.947291540767905 9.728006892550457 23.068304857571903 14.105220510048063 8.936158285870816 9.999850748639252 11.766421892707884 16.644211150864674 8.712224525234452 10.928478072614086 15.065603450874463 12.818441142613263 3.2179975798399703 11.500323554679337 12.739111206055101 6.562180199999588 10.426740169950898 7.843239419680817 11.738903429446616 13.711044991579026 9.316353076845665 13.985850895538954 11.046285737001126 12.722208562710755 6.151995980370447 8.244265437146186 12.67443340622247 13.155942668171194 13.310991659492856 16.581723129946504 15.132415757322125 9.34415813654254 6.463901218959156 14.430645535840886 5.027087149122385
100 11.604364043898686 11.258260295285307 12.560023219336149 12.538786366621693 5.44695159246304 6.053641566266473 11.505227711739465 9.21092402128491 17.83111640434258 13.17923848993273 12.247855176597914 16.12705458555881 16.52919446271652 12.015579312481643 12.985083414613381 7.7724842420143645 17.036019207780605 10.700264506863018 15.80275708633535 7.0953770732235375 13.101653398220453 10.121752089294674 8.991834110457685 16.451885646117574 15.631035032188088 9.43385778783872 20.623148565173185 8.054218512268942 4.460129411580485 12.913607830580023 15.191493732921058 12.766413203339523 5.751477054555684 -6.012138418740034 7.971275394382866 5.875043577899326 10.047301630671226 14.362781219857315 17.36914818883363 3.551780744360765 15.464033628312169 6.361198238966997 16.42953811479515 17.048826164749908 18.489502118780457 6.720381499424052 12.645179982219936 16.14472877039082 11.385883781769385 12.515235568478774 19.650081955035166 9.716425360019642 13.711865172771995 16.08570497914532 1.52262450711336 10.271160955099228 6.426707403395067 9.395800969404865 14.411257391006354 19.336725054014053 12.15011321591005 13.47767785924624 15.478280555545094 11.029224387726595 11.786994827177981 13.483103418690959 13.458045048278176 24.8033977750956 15.266903049568818 9.728522299050296 10.598450921310878 10.845315537540232 14.55569011363129 8.054837154872832 11.243612603936851 12.635021643579115 12.377171266960097 3.442191376286963 11.627993584373563 12.135629106534312 6.641216667899253 13.10212239648188 9.092055177209641 11.266041325136351 13.784250812726679 9.651296577664061 13.24117812992086 10.417546711139394 14.330052302349245 6.068935735947657 7.158295712885932 12.903241276415343 13.54935340216386 11.027128836594464 16.695568706960294 16.455203189064243 10.379264398465189 9.89550034293325 16.29815249405132 7.4521473554110464
100 15.675392559886761 12.517113468267704 13.118772695897981 14.089497040163193 5.306043990279842 6.70296538421118 10.989571969317003 10.233648539784623 17.102137026426725 12.653634624272234 13.161278180586601 16.127980431767188 14.255775022907802 10.46979598204912 11.82129555688083 7.104163440583693 17.69829964755074 11.32476435418649 17.40968369030383 8.534564002968816 14.815662756507834 11.302651841443485 9.771853509171876 18.064252921857285 17.099039198053585 10.389130136986015 22.16754945380602 5.484915530666889 4.650118102591877 12.775760672023944 16.96425940936126 15.135714141553185 4.406445872619571 -3.177621092345975 6.937227616391633 4.899411959683654 10.110435066960934 14.193818250802973 15.51056242210526 5.094742934984323 16.4103194970381 8.299780842765287 16.01442474565132 17.138665630168173 18.59619794790626 9.343919393304217 9.227378537767608 15.08792846695948 11.658655933714893 11.48479047797381 19.3478271402507 10.013529544998287 13.081455695924964 16.370864151256576 3.143711257423579 10.3702450871517 6.399546712020513 9.623957244090427 14.582457494701444 17.093402589931905 13.059986420367382 13.175682052317839 17.354018392431502 12.10514167655518 13.634087215955844 12.510690615644586 13.201014715841286 22.95040105831807 14.552472171428311 11.816656112867607 12.913507467761773 9.793424138591714 14.225502192531444 8.483820662335427 12.388662045565546 10.768050624372329 10.591158397993302 4.643743705888598 9.517723138939427 11.849166480383381 7.398581387229889 13.990758465081877 9.265191788277848 11.078349332401691 15.049603502471696 10.399330454342701 12.696900235262515 10.882224703307958 15.072321600907973 8.792411657056384 8.578930993994051 14.772410982268438 12.991947744934855 10.733232734172589 16.56034165480517 16.41938342422778 9.498441462503177 11.962463980812684 17.62432112556505 7.5257968857676145
100 16.810175702873643 13.057976607426102 14.420710148836525 12.592742849090504 5.7852287738312045 7.173186933464677 12.192608527366161 9.940765672389869 14.01944346900577 11.686512974946627 13.464781226655864 16.41427215883402 16.811135110562205 11.689442880344487 12.350669119879514 7.6343519148722825 19.24298932607158 10.913003192421598 17.404662109827502 7.572953762007564 16.943930129621194 12.199432185487284 9.389624980814393 18.048668404538876 18.002566515500263 10.546314449505807 21.280091601310822 5.294386496878194 5.723266572989543 12.609948796420852 16.603120279604635 13.659270039793865 5.17915751692345 -2.413211562775456 7.118605160839385 5.776258059869793 11.495334340119095 15.390018696376922 16.50319003999477 5.499931903828222 15.701172714888406 7.4960305331792565 15.429929628483023 17.319719657252183 17.734360323993663 9.833567141247983 8.429937363146358 13.188488265899874 13.011410521867703 11.3453636827904 18.31142389419551 9.098716591541645 13.91394488289632 18.372657441978305 3.454366577584402 10.544385638408968 8.428775559276755 7.7611185764029 17.33587507519439 20.394924949578915 9.85015566097838 13.383914168339784 16.599890055301696 12.059146264730273 13.373968009712167 13.996686166647033 13.321479738516146 21.58235320016728 14.589865730949926 12.910447186557693 11.699528621215443 8.199264537233248 17.13118204342646 8.225549209556645 12.591245432087899 10.811667603018584 11.721889240960632 7.531710069832098 10.846565272215432 10.220941256043144 6.182102288958342 13.82488248369836 9.312277947798801 9.173508009552494 16.245980135708965 9.379079660622748 14.99842573062724 13.697323122473712 14.99144406612869 9.79176242785238 7.362487252963904 15.825564403260824 12.636832145143549 9.771064885581787 16.383302243494487 15.985931453237853 9.601344609443816 13.578364938097424 16.743622199419345 10.310066021173748
100 15.345255536299533 15.392589869808399 13.416958872248863 12.922312063450732 5.81802813468234 7.269493922354077 13.583861723302103 12.447500983794281 15.886532425681752 11.66104365373674 14.08666472580387 15.594606516806014 15.780753586875973 10.620256143336032 12.195455427778187 8.526741136989934 16.79761563784889 11.240522420275614 19.55950649334441 9.547913894428207 16.37627223048241 10.741524696725183 10.562553858567366 15.174784312019582 19.652649780754473 10.76182476434199 23.50322410285156 3.7423065611811683 7.521402527905992 12.797664494998912 16.42690867082953 12.21833582993083 6.613121759973728 -0.5342329625655409 10.051917872495789 7.686011698522375 11.085064495635073 14.322755266549121 14.961109024395828 8.139995953883867 14.752126245205213 10.031820923286286 16.333600799088718 17.90115466879421 17.542430039235683 11.04722214346393 8.921863016815227 13.067816688898738 14.15003651906959 11.659417296816976 17.3763334442644 10.447423704568058 14.08408101591897 19.1355306736046 3.714518197255843 9.435110567364932 11.247336026516418 10.36854211125835 18.55788148748288 19.86295870052714 9.931483763668538 15.518193701557923 16.36270299653501 11.548017486707366 16.11426816418578 14.310579254696727 15.89119601938353 19.638763195225664 15.532433805447178 15.99096105873623 12.13238216040605 8.497354795309926 15.801897088311264 10.242625314680094 11.975429006531849 11.267419177555146 10.496806679491192 10.023249904436657 12.880685243972248 10.615239436596351 5.343376912819599 16.194986245190687 9.24446573371777 8.172825401833272 14.034502780243052 8.993857859536126 13.371582079578555 13.218729540603231 16.213625096827432 9.700589407071282 8.281594276362167 15.086462765779647 13.041520537597448 12.78143539122375 16.144973167427697 16.684490720747963 8.105937541912036 15.873037579767852 16.310283258783578 12.091673542370254
100 15.544205038672004 16.323640955040844 14.690287568509623 12.680229681243665 7.971371841836269 6.87406574760882 14.906438731580776 12.421206437692929 16.594434960200818 11.611594547289982 14.539009410381762 14.45646091210632 16.440120659768464 11.19550984373163 11.95540943790265 9.032197162220427 17.142971820966117 10.84791057152884 19.48198902929678 8.704898366240503 19.667226353119943 12.587282014228094 11.48792585257096 17.00042664742961 17.220864986974636 7.967022727594128 22.695492472034186 2.7916759528059485 7.783900684769205 13.40475770327653 17.911622628533642 11.186671268178225 7.781996808623933 0.4844736385323614 11.02358477794516 7.568813392012905 13.301660450874355 14.504739106135593 17.60792166124515 7.770855106677697 15.83588828347417 10.49357537309862 16.103204084939453 18.860386081042343 17.39073117972751 7.912980560973707 5.476639854330314 15.122683705464025 15.946802349526568 14.646843890091114 17.51499892325725 9.321375726335182 13.807855181737356 19.250420120056773 3.325129463529784 12.143797071545087 14.630025969964038 11.50980619474671 18.56039907294441 18.176652708643008 12.455483928345679 15.87655755129114 16.24370880698467 12.541764981004073 15.546595389275023 14.897809355237209 14.179502529949751 21.01514923731133 15.642872728383814 17.763151203718536 12.281100147707 9.008784886134892 14.50231159698784 11.79502184157309 11.291913057093147 11.246970844700584 10.978824280601923 10.56448088902277 11.141769090395567 10.772600645921644 7.14718865347141 15.989747283982148 9.403626701560219 8.91475159721204 14.072864697701775 8.173211288528133 13.699009236458268 14.899375991988844 15.062825183108128 9.65415838244342 6.939006531291201 16.56963133754562 13.251650456391303 12.082899601166464 16.513017282507246 15.301697947403975 7.432770487739512 14.205132777916134 15.151338152921914 14.22008134036058
100 14.959403928315275 17.02218154983802 13.95658495726142 14.046390641230694 7.294081768505208 7.571142064019191 15.23115415174427 15.956695473275758 17.642754012506487 11.42553136225258 15.813777024786338 17.572083693485197 14.641798834776623 10.615468319725078 12.148658605765867 9.071499043879935 16.872141452566574 9.60551211044386 21.406291171893653 7.3920206079437225 19.481125533436753 14.340585938656023 12.000112300784384 15.945687136136911 15.75036834651086 8.381464966142628 21.45092846490561 3.9993255326123363 6.549588095834948 14.787101355598953 18.284556128036396 11.963312682122961 10.27687062510719 0.9153394906489356 10.575637082220814 7.452931301734776 13.371518520723212 14.710749634742454 16.741996882498803 5.856348943379691 15.171822647548455 11.505489194187412 16.49962259039377 20.511998315067377 20.191706453554367 9.416927736487983 8.029777616420184 16.42972160267285 18.279417427789824 17.452558639254498 18.91438399072435 10.886959820252232 13.840537354523194 19.296005926233057 3.8785877908093473 13.399774624342921 14.005409474763248 11.747234085090263 15.516111864444484 20.50632708704191 12.572557508159292 16.722792350892583 18.416672360368217 13.266372213900851 17.66003542513688 13.669757536464415 17.562820003265678 22.313868408701435 16.1687211793227 19.79899456334346 11.186860171312517 9.33251278317687 16.743153511544104 9.87886134059091 12.538619882759106 12.586078476090421 14.019893391232996 8.882012789772919 13.835671249988 10.519655937337639 7.280071001150182 14.715064250136352 8.457249537067439 9.959072718207464 12.838149764828627 9.728755621330272 13.21481212889265 13.640168361522864 14.66771738406225 10.559477971019907 7.131146941619285 16.806493063513116 14.49385302494988 13.957925561315246 16.351656018053987 14.212266146435423 8.276590036447654 15.151791204762949 13.556705572155563 13.329568566253114
100 14.434559568535796 16.80738548277586 13.370598841974125 15.2766022933549 5.918069881066746 6.140021236931698 15.041039418248749 16.051047228970642 15.927026707463973 11.246122338939413 15.614191537187615 17.229578825969796 15.268433140291808 10.315742172874764 14.572339885196984 10.299571999735015 16.003813515421825 10.262396796654972 21.5607663786198 9.594577895079638 18.78707767999254 15.642714532752294 12.590494366203117 18.167860393005594 17.80093314124057 9.344954275054885 20.913269739897782 5.553606886719364 6.986299174810341 17.22698428840334 18.59369710389648 11.934967924114806 10.175493328966677 0.33839322989061604 11.83200974846679 7.004108537843265 15.123085744204573 13.350467515967798 17.175320647567485 8.192253642249426 12.478000011587545 14.629615650211813 16.149040113540384 20.6968890371718 21.042058484340142 10.805592927202934 9.016315643524221 17.970510148971368 18.93532640326195 19.993081302415302 19.681466010616507 14.015855038558064 15.31684716658184 17.047697979154115 8.258589731981038 13.04165847346381 16.304171357265968 12.266350778429873 17.084732320114227 19.572011367755287 13.792916460057615 16.606154139186277 20.631650682615614 14.138187674892679 18.999318067333533 11.32115139732267 17.534342983987422 22.657186131303334 16.689865569347642 21.12159618673938 11.208065341421833 10.093592125310865 18.52475050006365 7.547826589877819 13.765281574561646 12.73963284358545 13.155456445847971 9.798694631567738 15.895698528943718 12.370651031878376 7.828254652735493 16.246808265722258 10.118180236258787 10.319057207262126 12.22308179048708 9.422957947968548 14.7180917647857 13.98169337171149 13.628021252008715 8.797140751674753 8.767816518353923 16.27940364567128 15.19874887390148 15.943233978313678 14.906762019779169 14.489463361325262 8.770154865525296 15.935108174069967 15.569057123899784 11.925163231249574
100 15.60110871284607 18.213707070880847 13.550924936917749 15.332132269041235 7.2253761732781925 7.269234401017984 16.044730126230434 17.088119248586576 14.91379047772682 13.13344797409103 17.45354108872958 17.65363197515314 13.707560237381422 10.72561523047681 15.179631677391846 9.31938717818691 15.758199792798841 8.911630730387857 22.33529257287468 10.294060353215754 16.76912548459012 16.32364249424107 13.003962346842826 18.992290099993383 17.540848689341757 8.93567364447734 19.74997686772595 5.636777294466094 7.63714734083324 17.53376976999673 18.52952387472327 11.869494175832374 10.204713938052679 4.598435451049629 11.277663434115004 6.9009921887965735 19.62339532126473 14.282391854725203 15.617207003998676 9.974581468996705 11.54262605583116 16.125729020518722 16.089826878690804 20.116495818500823 23.191704471179 11.89692327027142 10.838080218484723 18.688418952424726 18.303502985568343 20.892817853605337 21.29691567884809 14.577232950952112 17.87381980610481 18.37194474181619 9.249964305859285 13.764424606091275 16.70066723115969 11.08049455240792 17.065378375397778 19.872430175470434 13.579572211825713 17.25731839984016 20.695772632393627 15.388523256103648 19.907056515034203 12.116561844087325 15.838682904900924 24.781998946000538 16.70019447487957 21.01514115120664 11.242885105736192 10.092880688842186 20.673168218683166 10.08816579441107 14.722144519706932 13.160635085492215 14.318896521184197 10.308761753557503 15.985843773063808 13.193661598265148 7.925930430035551 16.872161031640502 10.80881889847592 11.541922255254923 11.728677306504341 10.866456966788224 13.858983415590107 13.602589677931043 13.307362528114156 7.914069767645239 10.536779226348944 15.22631350580798 14.518460831667285 17.828972288788773 14.492405926013086 14.555078510942206 8.120575196689808 17.25578383675292 16.948929484444122 13.276048556914768
100 16.76531925491449 18.294822324980384 13.399632727878064 14.56972529503629 9.791489763955415 9.059350746395994 15.390032527975235 17.462251314096576 14.93297023425289 12.305499179627772 17.970075013293588 17.317830485777087 13.068831398412778 9.492358297859518 13.559735398679962 9.557669258380995 15.950760283969608 8.486935766434149 23.10778647307761 10.78142198559609 17.81662999830344 16.32601446608502 12.577413633125158 19.279604421508495 16.23741674225632 10.478508512485543 18.40604503603529 7.830479578959578 7.956408437855335 19.040619756524936 17.31072937232481 11.615963232061585 11.322412013180685 7.106601066353642 14.058211345552767 7.761530005382341 21.97773003038293 14.334739520112894 17.45780881964318 9.507428251195515 12.472651574037812 13.380623949933316 14.912212842086168 20.752704664938683 21.409138764359 12.831671778145273 12.604411989815532 18.182383041138536 17.01867704029256 20.34823730933859 19.98405778923681 14.902593007352277 18.103479033234997 18.162273464384125 12.276932005835038 13.287187364114752 18.761982562565134 10.37628340800225 17.286933001415914 21.405968983411473 15.48617767562299 16.938011148089196 21.459671416540978 16.162683848057274 19.200262554014152 13.604408294139967 18.483697687721733 24.985371709567293 17.686020513509273 21.894725652761874 9.958063258238488 11.506150241212389 19.38224784144442 10.092261129675384 17.952823626487337 13.522427991295972 13.735930738862205 12.30351642594969 15.181126800470949 13.047100016265778 10.40527103357468 17.26610243233709 9.276651978504898 12.727593520322005 11.646837209083541 13.435724089905317 13.541132163860794 15.465034066434338 16.10972508537272 7.525775965644849 10.738110231156217 16.07085697725777 13.744914976413297 18.37426112838674 14.649718940745101 14.630477990807188 9.085528278047049 17.561523500022382 17.423960092068636 12.904397053444583
100 16.49716477029894 18.11675259577956 13.98066613862867 14.413307613677935 11.050914982993374 7.4923720193212215 14.785982436181358 17.448257261172774 14.30208054463273 15.2466737563082 18.289283264575115 17.816862371626378 13.201922413260109 10.388737897344196 12.602017284861533 10.16925174791268 15.074942368698958 9.004145137456911 19.62915376762916 9.951210258528013 19.98461579746902 17.68909408599019 15.03251001588141 21.224054063810037 17.619598779853064 10.756447112733268 17.02039984751897 10.321247566044184 8.911027416745501 22.306488307995984 17.221276826199823 14.943222772603963 11.761577964074073 9.801509703273695 16.759206663468202 7.313711096877673 21.111336248601642 13.494319015067148 16.193588461636054 11.308526113245593 12.593503064834621 14.0292972035698 16.064162022868285 18.320336614444365 23.13920209633154 12.74914052297591 13.845026451532863 19.203321665205266 18.877290402739572 20.3419039909037 17.264281426289017 15.489830207860278 18.459932481734672 17.05738870835459 13.222826291316414 13.398501919323817 17.144086350377318 12.074802701342925 16.68574522905268 20.745438574825865 15.241998748547964 18.838807968871585 21.393246378254332 16.46921508841448 18.680175192707512 14.894858258416313 20.283301609276865 25.326510192608527 18.79222970891331 22.616859587166868 8.996092633185016 11.21317253213465 19.259077866545297 10.05922111371267 16.797978431145232 11.875153283648674 12.481810926451319 12.391461918693912 15.66231175866081 12.542337478744779 11.313583606367242 17.0692877722298 11.409516532511523 12.984707326095052 13.071124766945514 14.157746574015835 12.30030667045083 15.778911788213552 14.855115633000272 8.265636409783209 10.287442650841855 16.898450416791295 12.466792878021572 18.577353953636933 15.912198156754103 16.26963172282756 9.077226117339757 17.811080667873853 17.9335873728386 15.427106469964777
100 15.054049757144144 16.92301923546506 18.22610990491855 14.491463295570826 9.337262683592717 7.670235204278707 11.587693646438053 18.117580425674976 15.89677034528388 14.649654936184344 17.94947436639067 19.24882447621632 11.687723065318199 9.525535268294123 13.016944765400032 9.984201777403193 15.113668448459412 8.20832277202689 20.046902659131845 10.472263330863635 20.7852433367839 18.122820450101734 15.846093361704337 19.323039669249553 18.65852899178768 11.182135200170679 16.882400839713224 12.48927679602597 8.778834476891458 23.81281675281864 19.497326709819237 16.415973799936037 11.102155441988153 7.704916370433865 18.43735527900126 8.390827201820278 19.97602530478958 15.600197237901051 15.51922901859013 11.553271207366926 13.647604331238608 13.11611171149053 16.26013753622744 19.92240676316214 23.326488465960097 14.754362058893673 15.770943847579051 19.344761193641748 15.761164823235823 19.03678492879671 18.526500459049316 13.94555986302816 18.10221593955488 17.833281353125173 15.818871683453839 13.230631279109355 16.572907790091485 12.701500243947331 17.32595657974413 20.466231607541935 16.988865357898202 17.93925533689813 21.541607780880607 17.228891419639417 18.25703635713263 16.57678134404337 20.372005064931688 25.815072021697702 19.168045437090676 22.9786424511914 9.099078670201079 11.275926692218958 21.006511750735672 11.811855531546298 15.797431960286183 13.046456196108778 10.004709983107498 12.065454004630123 17.450917954871922 12.955811747880377 12.207924591749636 13.536972823018154 11.44593684814096 13.87683090217414 14.082956145024701 15.812628803498008 12.721393370962351 15.97515811232921 13.58546232331393 8.830739188936452 9.210693936006567 14.7625464701688 11.637029315837202 20.708223424985306 15.980279177604556 16.88374864203421 9.409680990782284 15.692154973648792 19.38187597081502 12.91026211900272
100 14.953928270499848 16.94555201321795 18.775940206492336 13.985922906540594 7.86193641676475 7.575482688419998 11.303302417866128 17.421103167464015 17.577649148408025 13.728563749383927 18.65004168039435 19.568786823372736 13.850025346164603 10.306401171503598 14.741484929819983 10.592052232167553 16.107868264426607 7.19460677835294 16.724197973023557 11.653660021888811 21.365802324599308 18.881694154966983 15.653945960339957 21.402451076753042 18.380963650208347 12.572900038301649 17.7481815331247 15.364800570011804 9.204245123145043 22.576173325413304 17.762828520966842 18.815173091566322 12.339996142459642 9.241968409782114 22.6277124603019 9.679443275709032 18.209724388796573 15.760552031785565 14.768717915636008 11.836511195679266 13.415615973729318 12.981694435306178 14.77995882709055 22.04583080317081 23.609155390253374 14.682644099576173 17.054756653768507 20.08008495590739 16.308081492543977 20.176187792818496 18.869235437052108 15.43480381789627 19.18106398595933 18.323315830981105 16.01343542162334 15.830945589985431 16.273941436125313 13.870911058707968 17.99805277004285 19.616975260388156 16.181634227240583 17.700274479254684 20.88083919156329 15.453804708485297 17.5465916912304 17.384858057809534 21.90211478905801 25.94123035896381 15.883218397381535 23.649885926583227 9.3162444633687 12.767615012535659 20.99740486056542 12.36306451117183 16.089703463088348 13.87920378023683 12.592665019283881 12.500229197447426 19.26239267635435 14.734685826957516 13.760174743953046 11.919593446010625 13.456451230876377 13.669867793284094 15.344652219743692 14.820823592225942 11.8587899140033 18.950931434700667 12.926408197734819 11.126712417794431 10.037108891467962 14.674836380321484 12.248067064513494 19.00721194553778 16.388383191609485 15.760848970178122 9.895604058174102 17.292835397610368 19.82522353919286 11.516641394075073
100 16.66555849331799 17.024263779880446 18.265739402122556 15.419932328459195 8.644567528694646 6.9769777934602555 14.390615954883174 17.752654516798852 17.73554986688724 13.908777220343532 20.422885190404788 18.969542908847355 12.539581954137887 10.275339225338469 16.991646037443715 12.422053407083677 16.106297200711246 9.966602838286216 18.074871831489318 11.872225050912283 21.12119788498828 19.381994533332968 15.05918299423381 21.372952768701197 19.112580313375055 11.074558600017141 17.519328360729617 15.34800710565179 11.309673887449675 19.908809488948986 17.615323945841187 18.35588191258534 14.147982478635862 9.968234907411391 24.748253144780186 11.265049542721579 17.75254722027504 16.457323842626884 14.866812673187628 13.696355470444036 11.982780792483478 12.525732266282091 15.813020353824498 23.514274322782178 20.62153069528601 16.68798972206013 17.053104055859183 17.68811117695435 12.541496220390915 18.332495490694555 18.9771058151038 15.818998261438745 20.010586060357284 17.835761354244728 15.018780121097642 15.664779946437436 16.651907941068256 14.708347387818495 17.045083879380712 20.804715320007578 15.674032707230669 16.801691850073368 20.210472346514493 17.11399364379122 17.563940678531402 16.85857910771901 22.868146576561568 28.14545028481298 16.519021567240316 25.04222804827908 11.55038298874958 12.723340200438761 21.041684629011645 11.41984456567838 16.20729880867176 13.823697176103765 12.66108629712364 11.931324606050703 19.12329005832614 15.813897365278697 14.133935352980398 10.307199136221803 12.856413627205441 12.084668328731581 15.875366695389904 15.81903081150624 12.914851168522908 18.070817391141308 13.863717166766046 11.099117741360658 9.134589408204885 16.08682166286035 13.903510248733403 20.37263412957841 15.972718951088913 17.660477066369378 10.173855441714755 18.391603749644602 19.232677158671812 11.853020459603078
100 13.996822121934747 16.716013342650555 18.629323229402434 15.243217089481872 11.89513088917567 6.465771882537396 14.101969114410263 16.91417129885804 17.261935834138264 15.965509682442157 22.439377673597658 18.19591039135636 12.434348723420515 9.654470589664289 19.040310391308225 14.496507540880588 16.310045278435954 8.934799605225336 16.65178259600725 12.660015226017274 21.82640117683845 16.727768001230125 15.196079156357163 23.442687791533267 19.109051974959744 13.85845667356189 18.400587022117048 14.330142116268059 11.544145472320789 19.691518942120922 16.750250787657247 17.307243127271988 16.530953620591248 9.445370108396913 25.746450196084 11.311423244911273 17.837196221453475 17.526506756290477 14.658014378782566 15.043424601503647 9.754757258715694 13.772636997591711 12.971232542872318 22.96399756555766 21.858999521687075 17.551014016720423 15.55209457822321 16.431834391507905 12.109781281742794 18.882295355556145 16.464451860838608 16.25499499450089 20.350848707953798 17.744289866388897 16.248298888657562 16.353584312651893 16.261189149436923 12.675510569490827 17.37576537777992 19.480211864366602 15.276365945047054 17.741752540542862 22.14647368905674 17.194074134703357 18.47930802778951 15.415559688441803 22.858279038200884 27.27692777685476 18.43827148398929 24.001169588827732 11.962552893714467 14.872418898863133 20.928231360904242 10.8084786703306 19.911667149547608 13.211131112870072 13.18381069298308 12.85086915392495 19.72536958465352 15.875366388754664 14.409121699334133 10.979560857487217 11.839931515325494 15.41951510319758 15.764676892234036 16.86520785612965 13.136787990800459 17.833630956100663 13.828985318738262 9.690473404867964 9.600409064597828 15.899547229936138 15.8969796116697 18.836193109766864 15.646291790599332 16.708669026147902 12.977073711697733 17.424950037915746 20.088634796094613 13.734682289857348
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Frechet_distance/test/Frechet_distance/data/curves/generated_100d/2.txt Normal file
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100 6.357512200498458 10.19578231776793 12.021193894192923 9.122015471023536 -4.198463465021111 2.817957781390498 -0.5397654379332147 7.450386856925972 5.419473818531422 5.12496558486559 6.583323419285254 12.008325964275862 3.4003644689161896 2.3783897690711076 -3.156633981038551 10.310110078895978 3.649490940784585 10.038984440529145 8.325226007284806 7.055379031782639 9.073541433846358 7.200238582734218 7.697238039261263 6.868881631032985 7.042177112502347 6.6126591479038614 14.019405483305306 7.506423982623097 10.092588323470213 5.706898350939977 11.002368421434232 6.212736568457093 7.810726227199124 6.5504764088884855 11.096112421868472 3.1994144829251976 2.241430619486779 5.14048814717542 10.095238183770961 1.906737946858971 5.86064760922757 8.106534440780159 6.071174033094824 3.7718160522998176 11.964045226115033 3.2947027812088456 7.472896567234172 8.845339233187275 11.477906699569166 1.6347098305183954 5.861411830385804 10.397729232809123 0.1101692474870064 1.5021769874291637 11.517405231457289 7.24145739728671 6.4330914016170775 9.09588241148353 11.45171300955618 6.821867699138165 3.0286982316498134 13.67615279126353 7.748438675515877 5.884323333687554 8.416122597864538 4.5682338838966805 4.119912141628216 8.655859606509502 3.722175920839914 4.909845863427635 6.700444081208174 4.069238797181615 4.37480742306174 1.2144996063847306 6.899683832771403 2.2372212169594143 9.153793653341436 -1.2590720645674374 8.196102546379572 6.290144614248042 10.060475038041657 6.328706020186496 13.394856453741886 7.4733550392095776 2.486305399388378 3.66531968501602 1.5001523618450592 0.9730550131712632 2.7064557279518326 6.02787925462606 6.578217889408821 5.032479515608356 9.430583291298538 4.63143015891097 12.663727180771813 12.360360645644109 4.106547355718007 10.022004168124765 2.8984905491206048 2.022833901555853
100 9.267641634685079 10.083410456597047 11.972593919615424 8.405826345630988 -1.7198425326893723 -0.6967757841502737 -0.28510506542914094 7.911537541178997 5.234166001337389 6.790770414381026 8.747300194813398 10.529689078270948 6.802626869491098 1.2052054528669154 -0.4814140948599568 10.89204280227304 3.710924674069319 9.936452614090364 8.87335178756738 7.869687414974729 8.29006102529737 7.456658324366028 7.236805941727218 5.93008302692907 6.583681554760741 5.713435503333743 13.812247187668182 8.53952284755127 10.639859208897512 8.836485331861068 8.49397227359467 7.3388954729412745 8.378846506468042 8.17688683651635 12.328236258596574 3.6507344477109838 3.2472030112102117 4.8591680799393355 11.430669282003176 0.4053132558766164 7.501826523742115 8.532618961172627 5.9178631787801885 4.182465774849081 12.057262619139753 5.6764687685191815 12.181004978321944 10.90306131549637 11.169120646637262 3.2520985448195088 7.335970790828546 9.55010752039521 -0.7670446169289132 2.188312363564869 12.92925444286942 5.793701958487853 6.086721067190883 10.364263747262935 11.8456984818216 9.163561213125655 1.869893788905436 16.96540635345174 6.394997405751884 3.8075996688397047 8.884641104897272 3.706672290293468 4.804619542598197 9.069450005058524 4.159020699001488 4.461460022178908 7.798299939784386 4.366823961013701 6.456171922728702 1.719452899377827 6.137633553895599 0.8168246743628713 9.484838565203901 -1.9857395264219726 6.942204438786684 7.58148151151237 8.250025500284355 8.764826217128755 13.863598854120841 8.016986656595204 1.918346891991391 5.447427149377335 2.302299739579439 0.8310146909817814 3.6335254177626433 4.533507544687285 5.125938919987972 4.209953326749847 10.318134283747616 5.3699104092007905 14.281035124266815 11.442927909049526 5.573163418181186 10.281062574014474 2.4077814821079513 3.2877933538205415
100 9.619788625501535 9.761887509695791 12.350690889497836 8.774284155192776 -1.042658205083394 -0.35943682788598275 -1.1668302872098735 8.506866479981518 4.868840824319525 5.9332241237642585 8.939783124750937 11.902154323798365 7.575299076716181 1.2381149541443328 -0.3442324198612432 12.07867881132493 1.3047333121036933 11.404626177312212 7.002034233204817 6.5351225530711545 8.065407240956894 10.824223489774026 9.975521191935433 7.525806534402501 7.6673869713309815 3.923304727186475 14.362016959512925 8.249569814246211 9.942922869784775 9.46364092269869 8.351931363835812 8.933918737176208 6.394415328054429 8.76768174884846 11.43173358600327 3.7609483422207064 4.377108616143483 4.100787482888986 12.121664127689533 1.1292735891045727 7.200608335380219 8.356281163231936 6.2006568746717825 3.8756250576107925 12.360972883585536 5.90431608589846 11.686699349020232 13.351074278284782 12.145864558943051 3.4795555925947887 8.058367844636116 8.604569328912866 -0.5398175993642527 2.5069207369897057 11.60782430505029 7.0031089074365624 6.031691658223586 10.368882218535902 11.427335635933963 13.407938233313331 1.7302006837083224 14.365585573941361 5.0152619429319305 5.441521396114038 11.144013408788123 3.466947207003215 7.168901903845024 10.52238195049465 4.581453546406562 4.785144836742887 8.51885302874583 6.200895155404125 7.526583409843269 1.5532602360917922 6.432962279713317 4.222462547568811 10.348906859736456 0.09353487026004115 8.195897153867499 8.483835939281184 8.966450382440627 10.424121663122287 15.037420883885265 8.934027406387877 1.8135846888633869 6.656401205449524 2.982247928277812 1.1819988563695243 7.739808359863041 3.2859769029083385 7.103949368586943 3.7537877749604505 10.881445418717254 9.4160054430539 13.21298835850079 10.818106916973925 6.203149785254241 9.573388169200223 4.309130166412077 3.298543241142931
100 10.906415394771908 8.56032153715615 10.318957471489792 9.014342408891517 -2.2066058085898814 2.5010505582795055 -2.275923312201737 7.645649664372786 6.122542105934823 5.692659404614396 7.4789242247096075 14.92513008941337 6.787427119434671 1.7280346556521406 0.28580893767892096 13.321294320738815 2.744220275178885 10.710378749768424 7.243997766474366 6.820637165149456 9.507043649529272 9.720645727563724 13.054097765354642 7.167373181130469 8.248201603551768 3.1453070643781604 13.007185776665654 7.563192505704376 9.088387878325086 9.336948191860712 7.570977254045039 10.24753238314128 6.013432934112053 8.088688668473175 11.214633379967902 5.710051216247645 5.363920961047436 4.720957910046275 10.720959454978559 0.6437525912817503 6.127327714572628 10.512288007556222 7.377074392691512 3.482495902537197 11.917782575424061 5.429694316675719 10.86685339173001 14.234825501889846 12.179853016710961 6.923181865806859 10.201755100220621 10.750390515576413 1.1433500297245978 2.7015862272160733 12.75223923175736 7.224650472028705 8.774989033872924 11.375878871267368 12.118095983593431 13.796076828710616 4.743477664977392 12.708765738150118 8.188475213131994 5.794906334816537 9.75496820835655 3.1669252350530672 5.642575284166729 11.812497847188247 3.9031536526221156 5.673552339369398 10.462466257949794 5.961862444629866 7.702434963652272 0.602678161596407 6.4535339127803475 8.274906243425633 11.876749481752809 0.6370978580783981 7.914847319731273 8.953054850412657 9.697389950887109 10.314530541857165 15.921935547079368 8.246392052357956 1.394902012322731 7.814660129874514 2.2245719276810556 2.889965924105825 8.183828030392048 1.742054664490945 7.914332331691661 2.269792763239091 12.163261200156645 9.64362836575096 15.855414955526095 12.564705546111389 5.470056404716276 7.3839450184110875 4.019690866959652 2.4386163408582138
100 13.651542443560611 9.114166320281347 11.930681919621286 9.15988799867231 -1.5331281242828176 3.203177453805696 0.07169681502770664 8.565515954359725 5.394814397489569 8.323085926824074 7.663666540449455 14.565578526855923 3.6465759971772203 3.261011118869997 1.272972652739853 13.710024827481705 2.9791921284521723 10.365201887249407 7.404665860116469 7.978745743242602 10.733779197882875 9.87451701101083 14.600186867011137 7.695513919274352 8.147377758763186 4.151537335562816 11.62431651007229 8.33631432673041 7.519077331100982 8.40957896949745 5.461806822776322 10.363929912950528 8.745953782381992 8.438661793996143 12.348271501852098 9.328444067176854 6.539188052139475 4.433424589303155 10.418197219412752 1.6446082619716584 5.927241710325051 10.141130993661605 9.0835504783435 5.54521204955007 10.080370242957922 4.972286283867286 10.62388464020361 15.25483027634214 14.063613744546435 11.009574743600545 10.010824521489386 10.55142123220425 2.6291689172163797 2.534805601344602 12.879123626262398 7.336392127868466 5.85915813691633 11.963906455757213 12.193536924605969 15.650174003151784 5.355597394788158 11.35189261197623 8.482844977567268 3.6441247409500486 8.670532030921123 4.669676827496616 5.993703337160752 13.387140410235116 2.0328957927730444 5.975069197476769 10.219611491374556 7.836070413601034 9.082814267504757 2.2068691657603012 8.970891387647574 8.312696119357543 14.052034443515613 0.12523408324430219 7.025208508470403 10.424988105367012 8.259731702130642 11.48993086180187 16.206763072339143 10.20978116328281 2.145582814852587 8.500281194563165 3.664935800302229 2.699021173248077 7.6994553246781905 3.2404200411497097 8.495263832751986 2.496274525117696 12.37272232811748 12.246114443837392 15.396385006128058 12.22208231872462 3.9143129813572073 7.851826392919271 5.563816812951045 4.275272341728398
100 14.05672141989319 10.924631280544173 13.224777493793955 11.13956266897436 0.6640937526795646 5.990635378178414 0.6952869060981112 7.336819568476292 6.966554217158122 9.763728463657962 10.287275536665978 16.49063234575913 6.8793319048310355 4.73786119613657 2.4203765069657646 12.162517468762164 4.16203997761364 10.08333941676328 8.342473703524325 8.578442473311428 11.705409148102419 10.215780438294695 16.072485132744724 4.790881294108879 8.978663566259423 6.45144436584648 14.519534634902236 9.744807796502842 10.235507021470923 9.098223385562157 6.099190221171359 11.406513914015566 9.28732427735628 7.930662636054238 11.937664047337675 8.304951604522522 7.852376488152645 5.200427836856998 10.499765467481348 1.9079193780831811 7.243672164420489 11.542847692749087 7.981702247106522 4.539719327874689 11.721478908705315 3.838882102488365 11.723109260102662 17.562839263296837 16.49928890754904 12.38403816474835 11.374076455692688 13.844798844291057 0.28060638278135386 2.691349875691081 14.300585446496026 7.573601524148111 8.117120756680427 12.333352293140852 12.688032291603685 15.419969843444658 5.281016394243361 10.988622825704303 9.480436324670164 3.3276020396493333 10.470565124140737 6.158181094518083 8.110162241800802 12.240776302998274 0.6257775950601134 6.600602694215121 14.391294757866792 10.057654889918807 8.82834462273838 3.490322405489963 10.33980522174759 7.0717242085384715 16.193864741567797 0.8145230832312629 7.486301985287212 10.905097540137723 10.354499256521423 10.905389665158328 14.134880440828024 11.136699084601519 0.32030710234375404 8.718337100738493 5.956323801933869 4.161271786461463 9.52969056692933 4.900665087789159 12.249447675522124 2.5114947451350504 13.212246324286388 12.11252328792123 16.783133968335722 12.440759145524394 6.913012032748329 7.687212517505453 8.044720896697237 5.746889458675679
100 14.263682993899181 12.121776859539782 13.852906113855354 12.051077147838205 1.223411765538562 5.706643071618956 1.085544556548992 5.707340811535552 8.706689454446488 8.523221780544938 10.474052251954594 17.50760672083272 8.53490850018613 3.0424316541846563 3.108712108027285 13.086927293680407 4.967337518430562 12.285162551368671 7.9020851957654505 6.422474356182352 13.07711504035623 9.975394409105807 13.978955068276763 5.360682807435895 11.131721874129429 5.449637479983431 17.89374823998283 9.05363117965499 10.756883216548957 7.956549723197425 6.765440653460309 11.543599809258017 7.878327645601697 12.14264688365815 11.57481618222978 8.136316061865827 9.685940913897975 8.285150353172082 12.516963761438074 1.346385218148619 8.129386336772987 9.424792870551213 9.576523722800436 3.1364716400591495 11.007374960333175 4.548663509224295 12.6435341554248 17.32664628642325 18.697427790193846 13.681657691931012 12.597029379657782 12.46635961399344 3.291531639948232 2.4095394217690664 16.816679048060394 10.875427622659748 9.334405145982606 14.083752110150016 8.98475453481835 15.305387595181694 7.32920051742074 12.559249690968224 8.502040614626411 3.6589499808370816 7.658638295477956 7.274045946630527 6.260593167773823 14.08789391148034 3.0394855410508193 6.593904990377823 15.286387612669646 10.256331027735127 9.626377986612916 2.6806182760361597 11.514623269331375 5.539306758125908 14.082730970429983 1.5423679973060946 7.776558238752597 11.691742092658714 10.028569602264508 13.785480052524305 14.587309036233641 11.910260218266465 1.5016189165744067 10.628979340505472 7.357880193051639 5.387030895598671 10.883712226095948 3.3168498331721366 10.383185184191085 3.201240404305765 13.242728269809191 13.313593669400586 16.89040358156483 13.489508330107663 5.930084069096199 8.212538264627117 6.847442433006795 6.891512699756276
100 12.055616687872401 13.000895606203107 12.196483940332717 11.949418098796054 3.169420479309557 6.627248892425335 -0.26601792556511006 5.450470631160421 7.306805045573665 6.731381039144489 11.07665622032956 18.36082724738399 9.584163089427195 4.4977089901944955 3.8500826385581646 13.008894269718512 4.255681779600097 12.058098227551898 6.816203668690842 5.914908734852757 13.44191473750829 10.279328319550064 18.244143444445584 4.342212034668012 11.412640645246128 4.267823184611966 17.568247514635097 9.021317864727788 12.230041270249416 7.854965013690246 7.083876632819018 11.281255183451867 6.6338955265658885 11.632164775000918 11.368523979783717 8.702105330615279 10.890328424937518 8.550739986253372 12.638245654699366 0.1093281121154499 9.3840020509786 8.934035172625236 10.88874909726949 5.614790922741347 11.116704993302235 3.8828100482647776 12.914172737827657 17.89092786857768 18.4070445929528 13.239050805963851 13.650308450172941 13.388917229204232 3.488873877541561 1.0149140149963451 17.548704052235745 10.386906216855282 10.095854331291166 14.60081287621344 6.991039345680798 15.551344389614652 8.506796697839704 13.67709697197316 9.290263601125421 1.7691845016711767 9.91734717565389 8.323139522017346 5.3624706361205 13.349545046275152 4.086764340261143 8.072639160422604 14.824144046319036 11.789532339411629 7.73167372794479 2.026176811352406 9.135030288824778 5.02704669446275 16.398378665337887 5.049251561040939 8.619330308051238 11.248557703067899 10.260419102764631 14.690449511857981 12.772819398075098 11.59057548392174 4.216105372123215 9.7760925588429 6.958095489075751 5.984405915979638 11.578764449567894 3.343381285457744 11.011613028552485 4.729715853759731 16.07152258920406 13.532081055160592 16.911151797891478 15.713474308824795 5.8803910069672165 6.993270283277006 7.758547777328832 8.865186908720386
100 12.839723881507888 13.24169166635348 10.623571627767145 12.254021584867061 5.432054758704542 5.576376653857049 0.21952863861564298 5.54258359934187 6.981983208739022 7.519209273254552 12.053654815886595 19.0057799501749 8.721572821642999 2.9332328761507434 4.877191924664656 12.61737827758164 7.323177187871966 14.844563428219457 10.048819636104163 5.274465964633542 14.402864273559615 11.831933120083393 19.31623557564518 4.617377035864656 13.484065908454944 4.952435730644544 17.917821180364733 7.420521658646493 13.361253664991683 7.978469064108977 8.212162444840564 11.879531171505999 7.468462062599676 11.91392765540651 12.674878917995596 8.864921407802225 9.40050441753068 9.819922671992781 12.007064405274267 -0.6122122833713319 8.52617295811209 9.715378458283544 11.031008633018407 3.4645178133385 10.948480288953279 6.0606689715048825 12.593132309665794 17.75714915502946 19.88873135476911 14.56733788721976 15.238036103146227 10.006938054307875 6.347809800399796 2.6173147609674774 20.84919391698554 9.872925455436977 8.228793313243921 14.892169716248715 7.1550383642580755 16.523928059399964 10.336598672963138 13.790827678661785 9.54649393877353 3.173549663133594 10.055965579480159 8.324728451545298 7.38006400472875 15.289253130658443 6.159369505362892 8.355419627705068 12.225056480505575 11.968099506998815 7.2394370523393174 2.5493180616524955 8.651301268699333 5.64189891907148 15.286118998327499 4.024503614508635 10.682944923433446 10.373286581374554 10.74387447357521 16.16759653764285 14.2440728960223 13.039762582792417 5.299957682516219 11.23338911986398 9.303956440390357 7.061617300547537 9.470933291459133 3.450370162111032 12.391124366004139 4.549530798143024 18.322530639120455 13.8033365678789 17.091644958568285 17.307548564540532 6.27430604309023 7.750066942751166 9.444108858687516 7.412507919097031
100 12.742139589456238 14.665788667040891 11.074146899194663 14.518304120781162 3.9306541663692065 3.9595554643345836 1.9801729637545167 7.242581309677312 7.309048459916511 8.45919642912764 13.371235955531965 18.001170235913005 8.233240905484147 3.802284556145553 6.676131786700937 11.375987434879393 7.597778778084688 14.739506411759562 11.085337692842906 5.853905369956137 13.868074145700191 13.799373750389352 18.654944736167238 4.940496137108527 11.72665611170553 4.660433083146969 18.752016573468453 8.28951652912289 14.37861811985548 9.13806073677595 11.38852580927054 11.166770280111859 5.910633587571061 10.867762376335378 11.981976658492966 8.000539499512286 9.97336836602856 11.910240197803844 14.442579578386747 1.0433887690292538 11.802140131453095 9.620869545421572 9.162720431649623 5.525589692048592 8.885955931515483 5.628314155515008 13.540224055611876 17.708471385962085 19.701846394997037 13.263326062213803 15.410701808940917 11.666069343988514 6.844054672415313 2.224509833399231 19.189725785506226 9.329684650546309 9.228189867767028 15.600546532127519 6.614205389779521 13.729269766634967 11.227232850640934 12.839641176499867 10.984094432167764 2.836447163499238 9.223906661793187 8.95423577225206 11.011911059560342 16.476563154304788 6.895342739139781 9.296987205607419 10.232362141779813 10.861996039261744 4.473957723498518 5.448041120662257 11.033923073192724 6.7501993077556195 15.739089734120947 2.670687866226724 10.773377006758864 13.113157979247372 11.363642442172516 15.602308644364278 12.172583978039025 15.178353978626154 5.834147089011612 9.390741285746863 8.550531697003754 5.86583691000258 9.658288675868487 4.486126283540863 12.140612134017788 6.183336808417277 18.473306115598234 15.516164944762362 16.687505017548613 21.329147722543347 6.137269040445006 7.056755743840727 8.542259609445066 7.645452921076136
100 10.804230402077728 15.357505662684865 8.969327035011185 15.011640542718508 2.827176291143814 4.157372852726654 3.5040429310571457 10.779350401355588 6.513652393311378 8.672464212520323 12.746622750710062 16.971808297505845 7.787158378275729 5.503075112337597 6.631584571344311 14.648997010878276 8.697131965076109 13.659026597007198 11.092118541536983 5.419776689714142 15.119262832045992 11.951826257360736 16.983419408362334 4.911284803682856 13.025968136600955 6.958234684435746 20.685227822659154 9.425181159378143 14.481447886199557 10.595675154822251 10.257010571457613 9.078395010185814 7.1340243061049815 9.94919076729376 12.165535758244598 8.625581121601794 10.754678167851168 13.532951201947071 15.882743022863483 2.296888856347251 11.611636921886182 10.16073506136247 8.742263278072514 5.921921464556943 12.731761341443294 6.473292001349301 14.374570568050435 16.884049753301415 21.101978113253608 14.556843950626863 16.60096814209568 12.252646856819151 8.67120282670388 4.631429625202744 19.590305220973416 9.75087252826242 10.872176068927981 14.674781636468527 6.2408445458824655 13.867953811137228 9.294013258483535 14.188879086569587 10.250358989457297 2.9311813028091933 9.468354379535649 9.439343304238086 11.013581175002447 16.565896076668103 7.385038796815327 9.184090250181168 9.619232118769148 12.695173291425196 2.394849571978418 5.75035776718116 10.745517801435089 7.887039000389674 14.12610113785645 2.7920192260563335 11.039189976144156 14.823380219285 12.249838881710206 14.2696638047012 11.859520585023528 16.605442654249515 4.920467712967983 9.842733027614617 9.052540219702204 5.91576127278191 13.539255013011509 4.726025833521574 13.169374395643082 5.784353869441541 19.20460017979624 16.928857794015407 16.005515624239813 21.148458175521196 5.619670159803572 6.115544680233357 10.39355671932416 7.459095065005377
100 8.071545992652585 17.94707813674367 8.418318936735831 14.968080404230871 5.702945713961746 4.697851623030099 4.001808852719507 9.591261692587015 5.066729684007555 8.878755866287097 13.582059359073206 17.524276211789513 7.69385233299219 6.116491912510225 4.869618021237585 15.464171643395426 9.446965874762908 16.52115828596433 11.613224815874101 4.858257633362036 15.21851602767167 11.911019031859313 17.70221121853952 5.73055211230198 11.763060776819186 5.460199591205031 21.08363956145474 11.6433766945592 14.802684275707223 12.034504017483872 12.003432133857812 9.850139805031661 6.712270086739476 10.657321402526815 14.010305384709827 9.78226742274431 12.176553987948562 13.28325649885956 15.932044858493862 3.142543352176774 11.960282580492542 12.07705270742295 6.085801527688433 6.632879675468419 12.917438294104386 5.294624337851527 15.4725980157008 16.078670772325353 20.651040938233212 17.223034820405267 18.06249779266187 13.297323805166908 9.592049377312026 5.103040972766971 22.20530578975062 11.377532945442534 10.33036662276697 13.161881426438452 7.5877563038677955 14.00897575076478 7.876172001985127 14.972568348226774 10.483033740195694 4.365586093816742 10.583383026513886 9.085377962645428 12.310775713381803 16.101696848102577 7.399801807641841 8.99294483789884 11.532916360893141 12.69731169655383 4.970685802928526 8.657798656235522 10.138499036815999 4.663810947471912 15.852800205043607 3.1578351098356388 10.322925032683628 14.316208683733496 12.150202392639052 16.23592252356803 12.421331359318803 18.49899188484935 6.2905523678560895 10.006257022786805 9.065553993526752 7.227135606901405 14.823672050553224 6.83243159826468 13.25147358992889 6.66272801786884 19.97768429119278 16.661008884639045 14.648994946103846 19.99274499291479 6.014367496343937 7.598599355763826 12.476913319754521 6.2698856058178185
100 7.8489610479798015 17.663103296040973 9.98999700049563 14.571706297772145 5.7780087901288315 3.590511771867547 5.345318081210872 9.864260265081501 4.992702670121865 8.97130013722659 15.385372439091391 16.352808947399623 7.158352393959658 8.325837146505878 5.705533772618354 16.521211803564984 10.495049215932507 16.64510316093642 11.667524623063022 6.657628269035978 16.896705774962985 13.723556480428622 16.286248236099254 8.203687249852342 11.749300677305495 5.205393355830265 20.90316651030926 13.053757619415599 15.716745098622036 12.029980043515042 13.455180118036882 10.436897998205584 6.6510157782574915 10.175411719477857 14.74111865303364 10.10595943440696 10.787080916571707 14.76267868771099 15.630455597606264 6.212298894562206 10.5519078850281 12.163584384095715 5.715538961542044 6.029147559511185 12.57647758499612 8.282488815011737 15.839729528561865 15.23052150376379 18.30941210631491 15.129659698917157 17.448953145249657 12.732972503546026 9.699459762702105 2.8401406894001866 21.975915286825753 13.24254862690085 12.916629027339871 11.092198653567687 7.1157150145901245 13.114044235290038 8.592077507690183 13.584710748180957 13.264971971821609 5.127724719411363 10.932201048764075 11.627719391182115 12.721013981321112 16.835151949644523 7.024213652671202 7.741871486767868 11.108333784660108 15.922187006370532 6.4929349780167955 9.486899718547338 9.266403860516084 6.60213973449912 14.388107736260563 1.9465158957689752 10.05762751188847 17.15034912853258 15.07991967246242 15.845448254066161 11.886083591907603 16.50888574695951 7.083031341627155 10.797641255729758 10.633144097887186 8.952629404679147 14.731598144552784 8.297017424500346 12.776055209164237 7.995593590058332 19.295235033470938 17.51205876688045 15.330523788127639 20.02620213723656 7.765196680082555 6.13291678576499 11.456593647094815 6.573558611509433
100 6.611190004057235 17.354637735525515 10.025764564672036 16.624051446052604 6.67563769688985 5.812730634264532 6.472356696939091 9.698791750866208 6.048155500635375 10.400522320393085 17.220417408988144 16.39745034392989 5.677501974516414 6.62903032967854 6.069098466544697 13.6347450307022 13.365740808205047 17.606386443246343 11.411472283271973 5.928676657105957 18.330336419685295 12.632289114889192 15.181579992308421 7.950682742153937 12.408873393719324 6.847989066914553 22.508352716378827 14.707971387395688 15.906759653419284 13.727136454086217 12.913525747514825 8.495444846885789 6.554752227488616 9.649448817839497 14.102808360359099 9.328273715178776 10.714457248560036 15.91516193370796 18.241710020150563 4.931796694385222 9.424732317724283 11.493383746793555 7.341445467109626 6.546818961379534 11.983776633979348 9.826325242234073 17.26727965716391 15.457288011205346 17.41678899644776 15.758903424658303 17.274107125059455 12.74387215304795 9.478180500893941 4.947675082789315 22.188729594188445 15.084854061876351 15.05101307963912 12.246625078631864 7.127295513374672 14.759190003674085 9.753435684721552 17.268763222055377 14.188438263856716 6.79065339542418 11.865996108346355 11.89308040888689 12.84949986400495 17.41838026303509 8.401146659947472 9.910930225538799 11.950134886539745 15.575487546329173 6.775283520808307 8.255531484854528 11.922780619920157 6.644568342357783 16.06550062821578 3.306032010444269 10.988478510190285 17.174061468341627 14.41817699399861 14.829473308524229 14.548154289164126 16.92696351292804 9.283736203366766 13.21126989643044 10.625017119676716 10.020974307214743 14.981213651341122 7.55102237413252 13.053219667891236 9.403934952116947 18.657811612052523 17.330039986169606 15.282039331050687 22.706061499371508 6.096709275984319 7.516324665072063 11.594725970647593 6.464305237820257
100 6.933927248486647 18.452090420847913 11.472045906671532 17.095756351679082 8.738464620187836 8.200441932636314 8.185558248681073 9.511670491344745 7.488769244879671 11.439484957587274 16.33745619248747 14.564623532487214 3.7664947352980285 7.329248366327413 7.2003188118724095 12.399492135004223 15.093458088419581 17.93271681863017 13.73166613573819 7.140114335601444 16.96208712086562 13.631145417244939 16.323425790062338 7.9714882770696525 10.994306714234462 7.7004667163120635 21.175113635007495 16.3638203023184 15.550400085551116 16.237905253380994 10.501061098694667 9.185886360285853 9.169792002351368 9.025652161199107 14.107190801644814 9.300262911030233 10.339612948796617 16.507584869256046 16.78856925205278 5.787537278655928 10.684932315938857 11.596670849108888 6.565510546465383 8.617977757232504 13.302187746029723 8.983685378166127 15.68766423084712 14.450992885174033 18.336130855688978 16.352893143754354 18.434839894471626 12.633289449321959 8.718571193381443 6.906916339873059 21.349463963183776 15.709916860051809 13.307551330620537 11.984808139175842 9.087764584445075 14.024275061138514 11.289157722096801 14.33328390466309 13.916175555601104 7.211793467281784 14.620475954461977 10.740981721219041 14.165228011476586 18.95584190197405 8.067531734778866 9.957591295996727 12.516017003932584 13.914955197309931 6.853626410367518 10.452823561362646 12.94248559395359 7.160967433052995 16.530019450256983 4.957568544618967 12.462339439354192 16.62029639251009 16.799373755446958 16.83005875460096 15.689385865333271 16.07035826780448 8.555319166624848 13.252590152418625 11.213826828784663 8.1667331472222 15.79615078829744 9.998748039259805 14.289878114675462 9.07462966694425 17.669849330606894 17.962199708554834 15.256628794878678 23.07681983310884 7.660631408061779 9.570622517375305 10.568368334665987 7.458978620625833
100 7.159972153222678 18.503688160670706 13.043810421563737 18.575426099623627 11.114639269501952 9.394385880410704 8.630265790794873 9.741112724918814 5.989324720220495 13.531964333682744 16.15383163773455 15.541416283631584 5.5081177000945765 6.3098152223267165 6.716251997181688 14.794616987269855 15.760406533608244 17.294379601139024 14.031327350339385 9.249354866734727 18.271547068836398 12.09200220531037 18.668131640663567 9.993874311371961 11.356703701686202 6.86028990285774 22.585722676752304 17.099327803705606 13.856252508339105 16.07828582571621 15.064638391558194 9.708681924605969 8.852763055814457 8.308227162935925 16.63206692433909 10.923418698827197 12.728599596043791 17.08477332116027 18.741406746107817 5.684720772243644 11.443719204272247 12.365214766488272 8.95505503722603 9.68412547562788 12.802402324942163 9.648985176326741 13.703689033727418 11.731835459859752 19.586294717794054 16.07967978355185 18.170491754886868 14.047975622493626 11.040467817068077 8.294003368841077 23.77710624688736 16.72942467346439 14.081630004035459 12.813563797191252 7.986780088208962 15.513472070883926 8.524273564626267 13.833588257590863 14.437684852986767 6.836218488899613 14.392603592354725 13.581336378616665 15.991882812141611 18.150074407420014 8.108679919334843 8.852438877509309 13.800985629969816 13.960554427532534 4.994695416976571 11.025713070295847 13.81293872527301 9.138775457184387 16.741472145500822 5.3203188418246805 15.45466309286123 16.837257103171716 18.006931737570746 16.320604196479447 16.796063257413227 14.476244619136953 8.621394775993506 12.167592394793932 10.92870236186283 10.36129874279973 15.13485919065717 11.607321652316445 16.70402693855746 9.632762932088376 19.063522006069938 18.871365454710624 15.591559192839533 23.81668282310815 10.784514214391345 9.293068721640598 9.845002712020143 6.820590498451878
100 9.13483709247013 20.14781788892345 12.70432885360427 15.930260951052299 10.661226729575418 10.677682524943982 9.103352111662751 10.51790481333682 6.143248932225104 15.08352601369719 16.843633739083568 16.567176300768473 6.472747626258428 7.6438781673865535 8.051349749409248 13.837634831672611 16.49628604216349 18.47436396744362 15.977735975949908 10.366956014940376 17.03870115404446 11.486989782654724 18.191807593257987 10.890504639162984 11.73520932377481 6.150883652802698 21.079335012172947 14.446113205883538 10.094366159763258 16.05706172553734 18.325567795241327 12.514112771961427 8.242429644131857 9.132980148882611 14.808534526398445 9.646124619784342 11.596060271282392 17.012843876634516 18.717117580086487 7.01323333429256 12.808295811256537 12.2779451625365 9.459121824818768 8.851227519561814 11.393763636475423 8.24226928787481 14.85155550168477 11.739166438409459 17.253239012422515 16.225494609969974 16.63669181441447 16.460878851413018 10.662651945832232 9.79166156326719 24.980254193114817 15.795634753896604 14.516768439916074 14.00061099087361 8.764728445216452 16.145641396423116 7.360352658445418 14.842380400386636 14.265771249744182 7.958669366255629 15.958545520073727 14.740505786109246 16.73351738307553 19.114671764357137 9.64922534007134 11.409438297512889 14.05212388664319 14.539341207128809 7.002581067393577 10.795924857066975 12.327086443653151 10.392326496814789 16.76703241462348 4.572906469967714 16.347925973176725 18.892960549390857 16.092144750035196 17.868625047485434 13.64534756543583 14.340438931742462 11.67339212103427 12.283704749321974 11.559865656563424 11.797523393744434 13.07393926551534 12.28319756210293 17.093345318255455 12.613560008061315 17.481271885065016 18.542654950710457 14.54871545412718 22.196869021426572 12.805385166289437 9.890814356498574 9.683344843178935 6.8636653969573596
100 9.021043249688239 19.623748475875736 11.467859258393705 15.893678440014966 10.678620059243972 10.232359811659398 9.88087298373441 11.368745728964418 6.3107754039322455 15.055376131096423 19.871672545518468 19.546805247881466 5.862789170451483 7.079619675149183 7.392013471144233 15.538129476394818 16.205097575038206 18.87858212189329 18.937707296353473 10.909059654218298 18.054038961926896 12.684918523821946 17.55196644161649 12.915795024468762 11.188008318946766 8.74597504863624 20.364708021382 14.063714663291636 9.220260250983076 15.018768853884906 17.840383370059172 9.692928485332654 8.689227300192382 9.103210606934624 16.031045751087834 10.734523383575693 11.201414422051444 16.659754548963836 18.643332110756404 9.944976855111165 12.200136341183235 11.725906769910765 8.455110937833991 7.609937911121961 12.242913557741709 9.174771375652774 16.778625713804082 13.574542563270294 20.61584469340278 16.366641463174023 16.486207424452477 14.901302873915924 11.995050107358427 10.516621010181693 25.525843139435178 14.702418953801638 15.310823180362199 14.701173319572401 9.576551263614512 15.395336757114247 9.585171543388025 17.759039806859832 13.329110716380864 9.549414451404534 12.523245261389878 15.853260005006543 14.56923645042432 18.514824168303015 8.547197822888057 11.638095865663487 15.446383805394385 12.484931075559498 7.274816176813397 10.582249415493907 14.740820566093003 11.539735755095238 15.551753181438638 4.892282217992481 18.579379422599505 19.909780446601232 15.23261283767094 17.66549312484343 13.686681567465032 14.06418171985209 9.979720108755842 11.98180700306395 13.883168948242906 11.696119045593269 13.246566110356255 13.05384713098168 20.283783689435154 13.051514824613816 19.023854504879193 17.965155754378873 14.450672325771368 22.01288612267951 12.277762936427337 10.198042066404977 11.45242370396467 6.593624985621622
100 9.705903449499218 20.6799472116687 10.92289800241302 17.648428614961297 11.302738661602326 10.638016044101965 7.850345368291203 11.417828088352799 7.758974042803262 17.50055598067287 20.655181217840543 21.060655585516532 5.163574775426851 7.635612040447182 9.808312520890528 14.63045887352159 17.72741506254155 19.90697027883779 19.500167015933524 11.054999444874298 16.812037167211443 15.485748134103195 18.55189917802211 13.936509163711564 11.297544552989311 9.560302290432608 20.679233209634596 14.87024523165104 10.824435999455071 14.24814471217031 16.04172684478036 10.358614154347586 7.210264532173224 9.375067068640563 15.503399404969981 11.892559148538334 14.379882875053546 14.421019877704898 21.85783570135693 10.545825406184553 13.196734971352441 10.342868593123361 10.323869573542698 8.495553094927747 12.600482500086521 7.327720806659338 17.032938097713313 15.081702875704996 20.358953056328804 18.143661798139952 18.174930314104966 14.312878815101685 14.4492135064881 11.15341959221289 25.225151065079825 15.32704879417333 15.718159216968196 11.71138843249357 9.973585132269761 13.822277837265224 12.297498317861788 19.90570815276089 15.052854142426517 9.852031648260747 11.772172583121973 15.192514886237031 17.528330864849146 17.744613040452368 6.219409903121119 13.519820289613268 17.638776103877703 15.170451408297344 9.416907908546051 12.65510334797855 15.044547988838753 9.407592104591238 16.012469015463697 6.700326822137723 18.48621410189272 19.704845122752822 14.401387433491088 16.534279654924035 16.453607075696347 16.98229809698349 10.666920370019541 13.001670390968064 13.022989321984916 12.969713913353928 15.858928663748134 11.659509509025717 21.014608108675233 14.190689725659464 19.740952893659777 20.357726344048793 17.365858952117062 21.50198648535081 13.71169817060481 10.914045560740556 11.188331261772026 7.807145374310505
100 11.275842606450617 21.033701331692843 10.389843963637583 17.281176240510735 11.242165261184036 10.189518051428108 9.034013552147526 12.540256875475121 9.980398532804307 16.403702027781737 19.898029013447943 23.028154626997004 5.949730152132055 8.420266605861233 10.312008292636879 16.436248093526796 19.43386208607204 21.362775426274776 19.718304170012914 10.534727700399893 19.44688271871501 16.936499574452633 18.08154261436691 16.344243987825827 11.29721989939484 12.169501598619043 22.687966907027594 13.927177915724442 12.174000308897892 15.588321464983899 19.686523549651206 9.951904623198505 10.040673919570708 10.132544449673189 14.073396362163557 12.21916779532779 14.81167581221038 13.518618649272044 22.31612961327229 12.73254223405244 14.028436598323914 10.233658551337555 10.621787013385543 9.332397462452956 13.333987562565857 9.633149306689736 17.540849096531165 13.594890857472565 19.700946117292734 18.505997760931088 19.751397442618895 16.308722673160005 16.9961858072973 11.907288448363632 25.840955767693274 13.931928910599387 16.59350043249812 10.993732268846353 10.559044018423988 18.090795080792056 13.15058270488348 18.722419610481957 16.131482402780804 9.825464317928613 11.185736757550496 18.18496317088049 19.177039892226805 18.38975898071598 6.675407344549073 13.572788741870163 19.751368617292894 15.953631815211455 6.119698655407825 16.21128223339226 15.516753034112618 10.62308080651182 17.85466150870858 8.2657908553854 19.55386432844682 19.20141128633554 13.321453222257151 17.165285166210868 18.52888281865369 16.4569826743746 10.423734462887872 15.22855693623944 12.941596715061136 12.822680040974761 15.54182029623732 12.320673754734552 19.056062506657938 13.886015390160852 20.023430757085023 20.75758781660516 18.956217148018492 23.703696525545976 16.18451164287828 12.712660591246438 11.621042231833416 7.849000937596089
100 11.918593624157413 21.844265508489276 12.146686890286805 18.367931093272453 11.652342193221587 11.93059235066033 11.405414158316717 14.212653628970934 10.774973163333868 15.42134666431635 18.83336297181058 21.9379562751579 7.283104066579561 9.825937553030064 9.209205562745609 15.997432639315713 19.815497670610696 20.092778763539524 20.46027406127905 10.823928777247652 18.447933857862754 17.253736672304985 18.757394804635176 15.649221126555698 11.718414612269385 13.401649443509585 21.638126813435424 12.112788618543483 10.702785557437055 15.286195741427271 17.95803551543713 10.121321008912973 13.01668560758147 9.06116523294574 14.008110211841514 15.477330134572437 15.763342579759396 13.610301216429573 22.13322397288876 14.122651667470166 16.722847736004386 10.181674751877587 10.134044741034543 8.368885406244328 13.890110666611866 8.545240809599674 17.063106433539264 12.881821508807558 21.224092040409122 17.97287145715737 20.27059580982286 14.399861699385365 17.229357007565884 10.904592552876077 24.84281236460383 17.436072475808352 18.074414648105353 11.600666496594092 15.379267487182084 16.928818975840606 15.086376876832626 16.755135906303742 16.313714349245735 8.758630322288619 12.265505949186116 18.305977946777496 18.930136993034935 19.968264132785546 6.925547054261801 14.477363781467744 20.77274421560188 14.373576061590493 6.146760011231127 16.446510276016713 16.548305985580168 13.19319810451416 17.88993417480554 8.753043370703425 18.441455757480476 19.71844676516372 13.56553077932483 17.04382038484629 18.47733150643512 17.5489399303901 10.45345408825291 14.734046031997966 14.051916743760538 9.30955407227383 14.958679762469147 11.56335462177212 20.859950946372738 13.755325790707706 19.255250711842134 20.78033727291994 18.152480428275773 22.81401819567973 16.660809748844258 12.673786269406513 11.693085201888843 7.434184288254322
100 10.990981470209269 21.911385473988567 13.102521577461529 16.70668907198063 13.178200216541876 13.512187803971102 13.227455713289324 15.005668807272 12.38116307815415 18.43780989211483 18.57193977732346 20.455730503710093 6.189498502623685 12.733734897556094 12.329376893408766 15.045361469069988 18.906701332221747 19.666736536587173 22.1741174259692 9.818892287623783 15.908032093825543 20.296160539444106 19.278743867335233 16.70126386528898 12.158110578184871 14.539699625728568 19.689578611378415 11.497795280766113 11.477832665052352 12.598652167805536 17.680524897217268 10.257855487156972 13.212024913029431 9.147815497050575 13.02109020362764 13.35016623343205 16.301710465276816 13.784112122969788 20.380234640500774 14.93276001794506 16.627148356525772 10.225691462212954 7.865025039003673 10.159767364697192 12.668169559349982 9.45051966868645 16.173811705325967 12.899420414030343 22.734263892393205 18.83222514189007 21.703693157400487 15.150118756559396 17.78910055458884 9.227277995751987 24.059586647981327 17.510326655957055 19.823147540031325 11.672252348854943 16.02306604874896 17.33772967635786 16.867258456799238 16.754855661325575 17.87644667048187 7.309441071215902 10.8326922939655 15.376857118152216 20.123908785528673 20.88415946552773 9.061944328679974 14.00923068320855 19.91767731965676 14.684200058241991 9.02356910506308 18.796295429522043 17.715259840259062 14.153707177326243 19.93983300402891 9.28420566124658 18.039123765862527 19.599966912297305 12.906414115203319 17.06072347045179 17.09923587629146 19.174716973808927 11.92213210455527 17.140099482173078 12.400324691564434 12.467840622136091 13.160485850916979 10.803551563538532 20.15700292692847 15.908643293165463 19.567091508300475 20.54777792043297 17.15285706682103 20.725405436295674 18.448079001216477 14.225767091496843 14.07714956903658 8.881548542502507
100 8.209518530287921 20.27637083765107 14.200356551104447 16.552184137866284 12.881836888774831 12.55511316080948 14.88403992662518 15.947971496954695 13.700848368905257 17.56171702409196 18.953958983764277 18.705386443114453 7.020722127523634 9.860553142043738 10.886341176493646 14.953573677193912 22.101408637322702 17.35351009450239 20.550421382698413 10.857707096091863 18.42007805187388 20.55414495593104 20.268782730767196 16.650907796193426 12.17902878043581 15.100917587980154 19.003513790557513 12.972920807930336 9.979526373231227 14.23091897823032 17.87066445196384 10.588657576334832 11.660100276587238 8.684276499519173 14.967956554518105 13.487757086883807 16.978540572534335 13.201035945980262 20.512389784002906 13.828145421621095 17.057006940651192 11.358532422315808 8.999974074941315 9.766528642967542 12.704785358079535 10.9165844445271 16.131374008730816 13.056487529534987 25.105344987185966 17.701164535371138 22.961749757065938 13.917748630302745 18.642909258081808 10.925636625671673 23.079386205086173 16.294836621567377 17.288138026602443 11.60931521180466 16.96239054849088 16.02285650355537 17.137337815670872 15.012083182565359 17.947489736129278 6.709729099138878 11.51803798526166 14.990011973051836 18.659814250857337 19.99819304431955 8.67085216389398 12.756545776907327 21.266273503991258 14.668162151594515 6.957183729400356 17.95615004995714 18.952200394052287 13.629549751666499 22.048962352763258 9.008380099545208 18.832120862540506 21.006777986759054 14.165950394923131 15.52119281047865 16.055537646889675 20.869412563272995 11.538445900782357 18.78095506761364 12.44210626521 13.107323578649126 11.746709132728242 10.882765524174774 19.178925577315702 16.49782329907688 19.68324494939555 21.252926467814845 16.62316769159056 19.37125781419046 18.86880109634407 13.290829915411686 15.93286044670349 9.56913872659531
100 8.69298515450329 20.99065088857894 14.529671211392154 14.750621537834334 11.976180892190417 14.506604101852433 15.304777485866618 14.051965282820081 14.752229242510449 16.850162141821855 17.946476008770926 17.345846883318426 9.30099762478711 7.968753391435646 10.537022407952566 15.459747916833123 24.008803816514618 18.28835388703998 19.573619630921577 13.55511813580092 16.678445617426693 20.873294650924898 20.904285188644366 15.91633997941537 13.801213718230985 14.863578380005027 20.140007663524543 11.021695525418258 11.152971949866467 14.061770014087381 19.495593303715136 11.143597613766882 14.020212021545095 10.229767414853583 15.052770662714925 14.928709702699003 18.28621087533413 14.448067631736176 17.69971820126617 13.350720857168612 19.13597114779076 10.316507855088462 10.808015475359312 11.53474516134756 12.262329053330214 9.008930576375489 15.638580402997686 16.300859534898247 23.6843559077856 16.869652452073073 21.410464134949645 15.877321275157957 18.261262689403345 10.789971064894633 24.663973498408218 17.53033373631372 16.324459049654283 10.795138650798963 18.659840302446796 16.240380297485878 15.252698174764966 13.018907354570612 16.883707929791832 6.080018015005331 9.62689050010106 13.868746909994691 17.669905630511156 19.43704385549502 11.76515516362695 12.987134696717337 20.878364366854235 15.804980997305664 7.648670237013827 18.512534770450856 19.267726374618015 14.318561955864505 25.64567797064119 11.09231403697232 17.507291150623853 21.437051908302003 13.74159557137383 16.483928651663355 14.54168079677928 19.474978128402537 12.709860550742242 20.33617248575584 13.721669292594205 14.643402793535616 12.752672317877073 12.011607293621937 18.77002881089347 17.817251797421694 21.001020162602877 21.22283443093362 16.626783495282602 21.397166050258384 19.000269838811256 13.886853492240743 16.888462149015748 10.26265626959541
100 8.4680656604352 21.53634290581114 14.868887875339054 17.62858871196755 13.53104426863529 14.139126223774893 16.521785896027996 14.880701207664332 16.94779831862485 16.23873493092014 18.395477239424906 17.447585990703534 10.149388517599942 7.60785079376304 12.029297105105519 16.302810300755805 25.391213485642062 18.410710072989637 19.233424187470764 15.058452148040585 15.800895877262425 22.23395915644048 22.26387202978388 18.00602525911091 14.857609256239494 14.666884394937785 20.419071339625983 12.094123776126503 11.048444769931518 16.16313858947525 20.249520180697747 10.53355307266108 16.9974676628664 11.094096068573794 13.866597523250547 14.141239377413452 20.385387716222034 17.33730839088196 19.392998323617018 15.877925643504081 20.826717022739015 11.693858287249675 11.73532121478901 12.922309360912942 13.73897128298116 8.858030819697053 16.86756559430949 18.47064245561373 23.23722413657674 16.721881324426064 21.904183264091202 15.248786543142385 16.515291391456408 12.949427929013044 23.709403155779167 17.925302621053916 15.830459598407062 13.27053432601473 19.822740377169637 16.100089439115028 13.990587071164173 13.037725446150986 18.082673374354968 7.325244430309026 10.660640268914113 14.529683479429359 18.93186904482998 19.465367130247177 12.975063991050346 12.24567232246473 24.063794883515925 15.807489422915623 8.828349486487648 19.240706153496802 18.66141172903627 14.788251768901695 25.360503290115037 10.613335282811502 18.259409349132344 19.210161008276785 16.639171611488347 17.810559209250258 15.755674401593785 17.370095467978537 12.290171885615692 22.27150626112551 19.625320500822742 16.489432887800994 14.526207965990817 13.482624803981654 17.938332892631216 19.26265457845915 19.45280397287505 19.7017529648891 15.121680132237616 22.466393270375033 19.068490996233916 14.45370522812852 17.110020917231235 9.540333938148187
100 8.547297341200542 20.74294077194044 13.444205055963845 17.260028230830713 12.57811352232028 15.372040240154288 17.57431049490031 13.602052521420774 16.919256294789086 18.78220247866009 17.30737978642544 18.248745860066443 11.068703103915883 9.934292278598422 13.108200586195302 16.001354351295724 25.039585626502312 18.655864161370168 19.359667158097732 13.74253930843695 17.66405236342394 23.44793469687925 20.736021851936176 17.939104841940782 15.101575868624831 13.662856108549846 18.120023599086167 11.77034247922472 11.28469191771047 14.516322830101227 20.414434386393093 12.706659055454537 18.422040666062603 11.67180580520567 11.837754178600079 15.462668724145932 20.577608484183294 18.21224142268256 22.185865869045124 15.487166835086322 17.064644908937083 10.929155020274896 12.84043223024039 13.597077458234745 12.607013955003357 7.925816656669509 16.607893599063452 16.966712738508637 23.75453544524292 16.48704325109685 20.907107224892194 14.556374113348204 16.97000933940027 13.557796385976578 23.646339282974637 18.536228373394607 16.110424207701815 12.617312033643653 18.83259603834866 15.790293982122963 17.084988544828846 11.802848129098809 17.94158419847928 8.452991608452663 11.164854948165114 16.296010905685577 18.727184716412985 19.24963995709073 14.62177248892966 15.26310809455707 25.47008805801583 16.041007100848645 9.675518439908423 19.229588235417204 18.824706024599184 14.155048887660216 26.29310080949495 11.708557006703717 18.33776962718895 17.657733851045133 17.155971302583715 15.562586289692602 15.319176610681449 16.988554911834672 13.375529360372115 24.691616575895473 20.42160340729911 18.53766661516524 15.683343407977496 15.691607425257478 20.723275629730058 18.354686399224807 18.420794340041546 20.76058712494204 15.413199894421538 22.44014944260569 18.89753221368077 14.112214846082203 19.465428216551743 8.993363795576869
100 10.38991795193556 21.506459223658585 11.919711815482874 16.50068935330981 12.254856270810695 16.48408248761705 17.200393419394295 14.00726673516359 15.386120269362404 21.71678596563674 17.68234341360142 19.076072943046483 11.073254899237972 9.79557652398413 16.20032920157318 13.796614901120385 24.99112656859533 17.19990663879285 19.069215052925554 13.428551919440892 16.46944817009873 23.215283840842545 17.358567346788448 17.860837888817297 15.503008956235897 12.48544001701818 20.41512525765065 11.577062691444398 11.659461749499773 14.117432128347975 20.22853284568974 14.884404734939025 21.84535465198242 13.338132791568832 13.794029118630819 17.972940473487775 20.88639862150859 20.50302728679607 23.25152371284168 16.39402240070486 17.82128657351542 9.236213061932897 13.600612474975431 12.175503004200522 11.043500139808083 9.176558952402301 15.384693843032897 17.204578180245417 23.729132174994135 17.047276618952967 19.635225086445004 16.07988908007151 16.92794896683497 14.63491360716868 21.76877374382389 18.630569457368104 17.88881059384533 14.629373973717822 17.84105311310018 15.312490951156011 15.94364656327773 11.57845361976516 16.541153849445607 9.181894864931504 12.848433621579526 15.494805434267278 18.8247436149976 19.07143424672019 16.44205698017472 14.874126076823318 24.174258558034097 15.334694513439587 9.040593268191992 19.84618659570809 18.606924340065895 14.752502521915494 27.58250801630383 14.177150348391189 16.328406480870328 18.735204917497793 17.843082443284587 15.371961491133325 16.104671151311635 15.130032322745624 15.899620701021437 25.127379723484736 19.280945943816977 17.765407915051803 13.689298200792779 15.843067334300956 20.22728821808471 16.754455920645103 19.524233758973484 22.51919829664111 15.650527128754801 21.730408097713713 19.6311026961528 14.552671405452903 18.104364555511435 9.080720420351003
100 10.856203128974428 21.846150541059387 12.643279883693776 17.190547858146303 10.88260701736107 17.65230332630468 17.350963383829356 17.8443363713717 15.41515392096134 21.767208681559392 21.629541002105938 19.443550923156675 11.746939716377813 9.290078836186032 18.550717068627165 12.804880030947341 25.108470861713958 16.848462640120587 19.10449686337526 12.162141611841442 18.420990853744726 22.5756117906268 16.052368365994813 19.85416031551315 15.369041200910992 13.66560915027995 21.64786594280565 12.835660114702156 9.505152321762404 15.458316066248349 20.02906034294679 14.767301987434562 21.608322595632732 11.84031706509935 14.444897481141803 16.265246413757765 20.470084911312515 20.76095277928063 24.58652362519413 16.01911409373147 19.962155656443233 11.352296574026264 13.381204301520674 11.497430690184705 9.904357463580657 10.490300810602026 14.78296772938958 19.007735819600025 22.62688495786915 16.171252982656785 19.953747648902063 15.428413726810438 17.02265222795393 16.358744457931245 21.74944078771009 19.130384817587483 18.36850104197451 13.049276379100165 18.49146117326177 15.814334925037306 17.36608797239518 13.064512334342838 16.86010665465454 11.434669779480565 13.237767460835869 16.127256608734257 18.643126447710888 19.805186115250233 16.265908318817594 17.489743074421174 26.327457309141746 16.960708281429785 12.01262842082077 17.710762971383335 16.734079747900736 14.845537765491482 27.119643275583414 14.482752326850143 14.522147341353598 20.38510864102792 21.003565406172818 17.496134592333316 17.829775472544657 16.01315924764854 15.238752419860623 24.929244943797517 22.107616982269484 17.367858310594507 13.521144885841869 17.871266160859452 21.941135945949792 15.933515813374978 19.1822137564893 21.808877492215515 16.012942394322728 22.89494708142876 18.69843292420521 16.430096065798217 18.41293890217171 13.104770197559564
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39
Frechet_distance/test/Frechet_distance/data/curves/generated_100d/3.txt Normal file
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100 4.791504949189298 8.070469062508833 0.2817176299009241 3.3444485615750494 3.1324943539461367 6.008925717300138 4.8517939121240765 3.285602782710674 -0.3937749511159381 -1.0819387839428096 -0.9063492050411847 -1.5890089980152293 1.1415434505853124 4.38994757805604 2.381029950942096 4.049055931626447 3.162151003002954 8.41845819822952 6.443453487136381 6.690544675484957 5.485382434142152 3.821923420937356 4.4812261923031596 8.422378703858987 2.997085984692269 2.6505614286423387 5.459782900654954 7.0430104764511094 5.45970069835523 2.1969191294779304 1.3172766974846386 0.8708033086828668 5.039253668958466 4.4076374689154365 1.9305239975961803 7.27937744229823 1.0326785609730893 5.2222870514879745 8.481621584145667 4.2669970710088005 -3.5874079476679497 6.856759203826267 4.844720874570349 5.704775407306833 4.088175872348044 -1.6855211463821567 0.5503615748415855 1.6017585077410728 7.3929157674318065 9.623750121242814 -3.306654930790919 3.7960937431166126 5.177562784187966 6.906338499327595 8.801994034645565 3.319988169411143 4.4141195937798985 0.30923406209067084 3.8773584948256232 7.365859344332277 1.3872919467501115 5.503012619101064 -0.778891707570813 -0.9264751501456244 2.494789846239658 8.688550448756128 1.7432452762072355 4.195813096794264 3.8528685897501087 5.950380152681439 2.62117915409329 7.436718829190294 4.3381961382412415 4.0164700086522425 7.524502483008198 6.9208236333150825 3.7942104851563596 0.02002052402687382 5.00579019154266 7.09487263804713 0.7876313145061304 7.2815827949532 7.3026565955118725 -2.3224713373407195 2.2640291052094677 1.657440019583836 4.980111275254307 5.291343958110767 3.9782014318596497 4.594147197645024 4.546067202497016 3.3824117716760207 0.2709852427268038 5.531701352278186 1.8459639210259158 1.8120683519981258 5.254919179346537 7.706918371847562 0.6848369049970363 2.7379451917799993
100 5.447911208022323 7.671878457251671 0.5257910894344981 2.1150685219000644 3.491090326171659 6.729395999625182 7.700428360896632 4.746186450017786 -0.6288370417850874 -1.9721028190540504 -0.2315625025307922 0.3979366051739859 1.7429116849579893 5.7748041039890206 2.9315642231390044 5.635563160664934 1.7972560235366495 10.952692857194918 5.6212604069447565 8.217557682060086 5.784531864935095 4.341092070505778 4.884254657348141 9.282454334728135 4.406218605995044 4.795783790044107 7.815501873312558 8.015461936167295 8.234729939389224 3.0379408307399505 3.5860118193106847 2.2672204709644364 4.916073035346877 5.243377197259429 3.346123069101738 7.70583399927998 2.3301422806864482 6.985602151214336 8.998640334697503 1.1346680379854512 -0.5392164600583169 7.03909876975759 4.415557716022886 4.867058619395475 4.408101392939694 -1.6181487354628428 0.37765169852299174 1.5207964120839672 8.52517115911728 12.78013306791383 -1.2399118533715472 5.982992434336117 5.27889541517902 7.637368611897189 9.88560949689246 3.176558410328714 4.528749339552338 2.26277406855956 5.925387201439686 7.976598943450633 0.6077741715104776 5.749185441715311 -1.7243824552511051 -0.006767428633807457 3.5559423475388603 8.893156360624245 2.784386539688191 5.357290305676079 4.876710276294134 5.0252203031327385 3.0232071531186917 8.570339523064 7.095809241154102 4.3809620674187855 8.795379746640663 8.739519050427207 4.208711435244691 2.2434539260259565 7.286689249465449 9.406919554554252 2.1972232108630214 10.956047480571122 6.949043524983938 1.308910617742196 3.920962998405906 4.127704975231047 5.219562569280797 7.036197638346712 6.521962311488313 3.7510649356527903 4.857204331108915 1.3003970706868127 0.8428222987739253 5.104280304360115 2.3644703050297373 6.385024397047776 8.149527301131204 6.364994653930108 2.2483230211113416 4.463779621020679
100 5.702071730999283 8.33028235734141 1.7348442791855627 1.0851545051039584 2.828578597521224 7.444703683723577 8.319443827073258 4.524518098920029 -0.7786745708489057 -1.0888158436266182 1.8188031641328073 1.1312654322662854 4.699725295752294 5.481029213948733 3.9316467429672723 5.752044506184678 3.316607403302058 10.272684584130994 8.773555530710421 6.4429204891406275 8.643472875952144 5.094264039821011 6.289258184321492 11.500065542187368 6.2626143734191295 4.513614396909779 9.014244476710457 10.934321014304114 7.504038654830368 6.464298110702778 4.846114915530458 2.4702682083213063 4.3399708059500774 5.507873252650075 1.4935123647522608 7.6082466257307955 2.6817525066286327 6.142858396076858 10.486988758505387 1.6617247335423053 -0.6408293764949394 7.167540086847494 5.524407474731614 5.609163669276327 4.227220683149011 -0.6731011253515233 1.0900849527013183 0.8340477465548017 8.538932518168057 13.910525130670324 0.40044477946493373 6.3081099467867165 6.735764759268019 6.917441674017546 9.126799493340792 3.5569161723554643 7.126836205956236 3.221723093836441 6.1020965175435675 10.472401440643939 1.0271031587274835 9.263204274429063 -1.4385860420754661 -0.5529185278207055 4.011793369854729 9.107353665868978 2.405126510908384 9.30019859075033 5.926089082728428 6.292235867208632 3.124199501727473 8.36251870513524 9.00771577123143 2.892316969203815 7.801932954197524 9.00777882294416 6.605946001225355 2.3820730930008582 8.438600057739231 9.855699113554554 4.623068421118109 9.339530432560561 8.358568568567348 1.7547620880359311 5.701140774978768 3.6752477049131453 5.885020944239746 7.466230929296976 5.7900120377732955 2.6814865399429895 4.60380922074499 2.2441663139063297 0.6243493800143961 5.314750895416975 0.6786201208043465 6.472640696600364 10.010184514077638 7.856899077198955 2.896581064731083 5.3840651521426945
100 5.334112209400753 10.85659238460422 5.253588932245885 2.091503736731289 6.928736620259482 7.039735444166944 7.174847482464287 4.337437215905125 -0.14133115587019757 2.9168706729372342 2.297818106461075 0.8465690681300013 4.2843753814547325 7.609550297524008 5.962677785326532 5.714835704240343 1.5965675869106146 9.18342018294834 11.547267784550801 7.853574760221741 9.258698944052586 8.151740911536995 9.487731321736796 11.859330814401558 6.92973077720681 4.461144567477941 9.02737025799907 9.386773955750684 6.036629171326629 4.775890669433998 6.989166904808033 1.2269868802214652 7.5069226857843105 5.122813477032916 4.546773839841052 7.596822722452679 1.3503021085129383 8.42283575684029 12.781330504495722 1.3034382259188275 -0.31527073302546593 6.5567436472986635 5.9919183053221765 6.388946043844819 4.536199195313493 -2.2668690824762203 1.1121844537210188 2.602667955828056 8.670305014043626 13.827951156804142 0.05066289002601976 6.14880190559718 9.103882647588133 6.04155616659649 10.58922437119696 4.335535957763314 8.00967539231352 3.003555414375388 6.192134069506282 10.864943052220173 1.1546044517126854 10.175420448006223 0.13027310313102203 3.0932002176113396 5.051466898085629 7.170627918039882 4.629460225738135 9.447786193419589 9.155833901876555 8.838754028673058 3.1910048721223196 9.873599864499692 8.754241200682866 3.6756526153158875 9.234182113368986 11.055265087721814 8.332133548591178 3.122782403090987 12.251731960313178 9.790296653780135 3.1985161001167035 8.030089328097546 10.68429694857055 2.367088958514982 6.431341752531625 3.6251439216350345 5.92572751968371 7.009190905952606 7.026699696530465 3.218190560144062 5.700276812994644 3.4491837025385244 0.8745494374902157 4.073153143439094 -0.4640295537862553 10.994545309392354 12.402144284247395 10.132154329256164 2.781883443767663 5.983376296271051
100 5.065261121476267 9.485335389440158 5.230556338376874 4.633328055915314 8.629452404868706 6.320925465572242 7.345210004820364 6.123056258253597 0.09405509598549755 3.924834078203836 3.7199346627592833 2.277482675347583 5.456000431741844 7.366068618298981 5.953432919210348 4.89131787625093 0.4317930382826831 9.497835186116175 13.064006517200381 6.555762094735655 10.163622328079882 9.714431015010398 7.662971874229937 11.9340609795838 9.79195496081979 5.950020034322228 7.013475235684952 10.735032294791907 5.646505760692125 6.355257626397697 6.792614091379151 2.0750209875161008 7.350040704605204 5.761227688316447 4.53420810830545 7.812461822890047 0.6536371412833233 9.621249810655984 13.41715144926927 0.1135965078756298 1.7865301266949412 6.974957237775775 6.861890829693777 8.044774352297306 5.784602248020598 0.16406913346598628 1.5785283889106927 4.7972122033904565 9.263928841006717 14.86636296684035 1.5310159519248043 8.461197394359614 10.516719677716326 6.168194142605687 10.260793393275252 5.017804492461311 7.596708112167874 2.4472432030243603 4.019096775641533 9.269269332877517 4.607948387082757 9.804881644335124 3.5950846789188353 4.343830450893825 5.678474378077505 5.9100953527385425 5.309345821750926 12.35125515408981 11.70035693288073 9.768740150007709 2.4847588713179847 9.183819591213435 8.224055834730184 6.1521047695442075 11.892743879429883 11.869916658186579 8.471477253268432 5.803782813827457 11.439613342175424 10.307444208433498 4.592909198904753 7.548042591064018 10.195958621511112 2.187983072549833 8.810450579294479 6.831545480053095 6.7600911381334905 7.300097367390403 6.870601175870213 3.9196007279998613 5.513445117621406 4.10060021274421 2.277753638642016 4.3192444613736845 0.2895059648154179 11.183138420930643 12.390967885572643 10.033831114987347 4.610441301000654 4.29426562197956
100 7.942682168424664 10.073591102128129 6.792153462343219 6.298423535988419 8.255011803694703 5.727598807867814 6.594231937013221 6.554704517725186 2.002324955943105 4.052264855490281 5.371590158153628 0.08386991420663881 5.7677663777081465 9.521936731778547 6.462532212981448 4.525457795166597 0.5284197673222916 6.025455071332736 12.146310476080387 8.506274254747904 9.931122257318563 9.595958246148003 5.301883359667346 10.251255872428338 11.94715365850411 7.477917608095516 5.8560134010590765 10.359142537138496 6.229048542999941 5.427581843136411 4.920960211238732 2.77499981664039 8.662255950300736 7.1555125410271625 6.422019783238676 6.3057552638347625 1.6223260604913627 9.793806235245354 13.694751837999563 0.8382803841512514 1.6647182494510415 3.7008698638429105 9.012170143403768 9.077949972501333 4.644107319255424 1.6087124117355676 1.850751722537796 5.024921031965336 8.684763781233178 15.905432705894112 1.4075832988222992 7.646565231565279 12.410714544091427 6.6557299144585995 10.607233579404149 6.6572035953685695 7.343418377923443 2.7045103079477433 5.1351020607313105 7.775152919086031 5.630164077143849 9.339607207767772 5.563416465274162 5.7450922204367165 6.9021321568702065 4.595590016606193 5.838638481716738 11.13901568441075 12.066532256666923 7.306757109099624 1.329450892152226 11.336196153537298 9.327188205907508 6.414767758453162 11.138290016163566 10.999904112152969 9.276312923255015 5.917644717912616 13.965102523232044 10.50721836274096 5.421131452217823 6.427508573793794 10.100450398558609 3.2007896307315313 8.766296274376298 6.7871419465054625 7.85300935320274 9.91650374535961 7.711382182437955 6.0958883329335025 6.876878587871763 6.2825885971423165 2.312524085849263 4.8374579691087405 1.023252087796045 12.328382749852063 13.836874504200763 10.692789027611589 6.527740055655116 4.277178289354774
100 9.791818790190005 11.781335802953173 8.372408791097568 7.1207932347017975 9.751732200955319 5.195239694879413 7.485236637414099 7.684148619707044 1.189421926901257 5.557582419831393 4.536874310830839 0.5275761269243785 6.624814857368788 9.111286565059476 7.28317765680311 5.348499777854223 0.4168448569339538 7.4016863899102345 11.59905209780555 11.966898513265368 10.32992167682599 8.569015778151186 4.813998871053655 12.266608488619411 11.92385784420173 6.362618601663181 7.556476379298241 10.285233429739664 7.676305999043334 7.322232924626064 6.109689612320551 6.770913607434258 6.929153218737698 6.654811654286001 6.754127603802952 9.836521656395847 4.814185291577218 11.98708336039428 13.043470210257471 0.9314539798100221 1.3371703418580052 3.4973147737877337 11.493590338388515 9.320438635503223 5.351261722792928 3.3822001086922966 0.5365503018268978 5.861813822023187 7.710784913103602 15.816212021284297 1.576135677904501 7.473900933596195 13.038186630771875 7.646299631016902 10.847742479089383 7.805153472159658 6.846881113454019 4.451946721755914 5.537838835699852 7.733742922256657 5.288713660384949 9.57046937813819 8.763363817631113 6.291419397683863 6.045802700190628 6.6359741966355825 5.869185485073968 11.888245098163505 11.679255968508786 9.644920137878653 1.4735272090473013 13.660634722994923 8.538474134758328 6.750523812317138 13.426000074703094 11.805540831040764 12.739640187772183 6.128010504397191 14.695629142008235 13.41822672467392 4.171494405329702 5.044025856911777 9.44783094231026 4.9987467523744 7.120215365672879 8.157854209488997 9.158538997836601 13.060664776391222 9.687870401929692 7.158188138160917 9.137723933240311 7.656181223482866 2.547850048475219 4.118728405935243 1.2539043125523954 12.659522572023395 14.413464594302718 8.38587902165857 6.933549167101012 5.037075246405808
100 11.12496105511596 14.206737789692744 9.249911515005174 6.559624630435453 7.895559548476209 6.758704370301324 6.9581186629415885 9.509821505258108 3.982359046257074 4.383205726733827 6.104789777659911 3.207985260365526 8.729993830954367 6.957727533184101 6.8616026364939575 4.396024318695622 2.0787211388194375 8.522333090529859 8.575118140880143 11.900181525007774 11.90406144947811 9.31933526577377 5.837774821688915 12.226653362282976 11.06825736739183 7.068242085713239 8.14306971873364 11.565412248918427 9.12059525526852 8.032758203146681 8.324105771769336 6.98488929826688 5.658721341861798 7.875051963832396 7.581412207595514 10.910704500397303 3.884521345674558 14.735136715686075 14.389132808078317 1.5479127609095047 0.903597252121767 5.740709678832251 10.49036470061909 12.819883932136408 5.38977923933461 6.314133326329891 1.2294687324678184 8.660494989464485 7.26600924410589 16.145167193332025 3.565407388501922 9.01446437662053 14.779485511459272 7.6817189895281555 11.483919928319315 10.051590051088102 6.601489424922225 5.989510183988303 5.9184823316061905 8.603800419686545 6.122713947012523 9.090919745970186 9.049930898440564 7.095125350451943 6.6003582332524235 9.443377688818801 7.838915338063752 12.616601613090308 11.115427207889685 9.145093872387584 4.964548053611788 12.750264264567742 9.313903184769746 7.935402153430855 13.385210140882403 11.062486133823477 12.068202715311656 5.979709244374478 14.14198642696698 15.442955714863087 4.956345761488761 5.194207182821193 10.009424505816535 6.534352514844375 7.210951247259616 9.869752401508515 8.07546663605736 14.96357650541548 10.2086456758872 7.644845888509717 8.62891471838248 6.6793609721660525 1.221302379904547 3.9492650524164783 2.998690924023262 11.785059073076074 12.728508237359634 7.7984140883783954 7.119558954362724 5.2887510643766
100 11.535289298036309 15.74655617932718 11.490933944005072 9.842970231228891 6.4080524912809365 6.2630190102719645 8.521285037911591 9.552534957811956 5.973110232217868 5.5810171464524565 8.959369509678638 5.465787003106842 10.812780881870008 7.129701084920611 7.473584071460669 4.790030768979898 1.0568479710228273 10.98496294779568 10.204674871558353 11.79295795663249 14.073594461022747 9.042005621619055 4.263273415238958 13.990906356942206 9.99326737347962 7.535109067784107 8.920983141746714 12.50030307475323 10.709696715226345 9.374738100663688 9.747803190205184 6.67631963052526 6.739275488021576 6.479435895414382 10.259745938365281 9.47751631611648 4.226261925240396 13.3152702145473 13.809536574799614 2.565369700971171 1.0537800210155726 7.989784857327924 11.284376754406594 12.619181264513365 6.084536126448492 8.471556219618137 3.3464917315682845 7.809276583065341 6.93604707894434 17.062421157656228 4.903702873021884 8.277030271849467 15.986067257148703 7.218684313754462 13.69361943900639 11.272581806000275 5.842085126800199 6.04803796336528 5.881515299816448 9.393884842522903 6.568382600499031 8.19458202909393 7.873965066957658 8.4079562349983 7.6603423617874915 10.229238624710408 8.77259218174855 12.14014250021265 11.829976833474372 13.066276217481091 7.273584392727625 12.84184899331427 9.246711017139598 4.900645188602468 15.155688002623293 12.706762344665947 11.759547668402972 4.711714258809554 13.052930273883216 16.226562702961395 5.629244138223424 6.951136774377451 10.532726221844115 8.406334785418355 8.247815389714068 11.419963241041765 6.008244262494518 13.656060034773995 10.26246650064422 9.594889146575762 11.508449453102847 7.161742135983922 1.3702247223136672 2.2729269580156517 5.052228801259294 11.506045105833095 17.0035622427502 7.4867369195923015 10.561565917641143 6.978503975346048
100 10.761365150351885 16.16707480053459 12.999888048563628 10.061446637888098 8.207491294624116 7.973707241418917 9.8768781278607 10.168940854213739 5.222598494308162 6.357248938469038 9.848867839704958 3.8206830513611014 11.634706797815946 7.710177309650918 6.502791118022437 5.136139309153799 1.6514477201382387 13.920177815896873 11.073171407571047 13.490597973111461 14.285310259449329 7.168727521542474 6.044288640285228 13.502333894805938 10.207212778565838 6.871193190755373 9.490385632033595 14.274566716910984 12.330392464963296 11.959731127881302 12.636137402419289 4.760389174358547 5.836666741805713 4.770034795938413 11.595340850443238 9.046353112757586 4.373381656103976 13.40628778258621 14.711108940570188 1.5922213523263753 0.25634462277644254 8.643393862142865 13.305669411435556 13.002297952442193 5.897040162737252 6.14375048094241 5.419723345005513 7.533549784036627 6.022838150912275 15.087695366209612 3.8513393803570213 7.701322355651481 15.847490550891926 6.37456416431082 14.339429295772234 11.42673049588406 9.490680001703533 4.583899463797851 6.774379545578757 10.167359487729883 5.9240638314100185 8.964970776222868 9.579957722757136 9.070238490321291 10.10004755129551 8.012898509546122 8.216886096171198 14.414575752710078 13.45876246886935 14.190989122394035 9.546312296214449 10.81726845899997 10.904616659914835 7.135299015425218 14.591798301951814 16.667039131560827 12.433817818562993 2.5276374840958145 14.023242884630541 15.457769601430334 7.90628442066223 8.438636978508024 10.143471021985729 10.883258541590221 9.977283656901916 10.740293310881047 6.575879525801993 14.697232582445691 10.319500690204725 9.610441470756772 11.844605740844534 6.454561679747885 -0.585613159171285 3.5467345129676393 3.3001109408320355 10.670892111892057 14.909894646837717 6.016983819215431 11.648024086479401 7.325637678024683
100 11.000450323561182 14.548475251396225 12.554001867701352 11.027071353423024 8.72622931124995 9.576798697387153 11.616585928495786 10.417909713678833 3.592494201186856 6.1694504436165305 10.306770113363264 3.649917739336999 10.796052927806816 8.444772655603908 10.391875290562133 5.226414608546977 2.5708314030968022 12.473548419181041 13.200965305103699 14.876989418837148 15.669818647111665 9.566505856112958 6.263734701926435 13.483398715852012 13.038879321835685 8.398656577709753 7.02928235545575 15.148144632486849 11.881911029367423 13.496190512079393 13.633854781556838 3.3022179265917546 6.849801167761642 5.740422073605991 12.490791570141472 10.263796372862323 7.056867184385005 14.294794995352547 15.080887615927894 4.045868779535255 4.011318917849767 10.421414834027843 13.913606733700117 13.941898131649184 7.041222181371159 6.727301163327254 8.92599518327286 7.222429445154948 8.121096735523347 15.266106892100993 2.7593235431291205 8.127400169396116 15.307432554188354 7.860599181791156 14.81108755605802 10.542511539877788 11.94444214116513 6.790544253392539 9.44225450088617 10.958124663151043 6.572455896937254 10.457071139751168 9.416043481406412 9.717661547104159 10.359213465291734 6.810168242878597 8.924150673727864 14.067456907177643 13.484128207880966 15.009724011410361 11.72475828789095 10.260142830397427 10.978259614380113 6.83961271880035 13.819416119917598 16.21248589621377 12.543912160736602 4.033690675974946 14.843495768661361 14.281490241007004 10.20123909399269 10.330481569623501 9.361148238651506 12.849601998201369 10.799906939361884 10.948838336431344 7.742136378143629 14.963356045456036 11.530781829973794 10.28219281644835 11.663922095562953 4.502735867128068 1.099724143650219 3.914688198555543 5.193284133758167 11.77317007664209 14.762266529344839 8.061908191704935 12.366998112345083 8.12710299711725
100 11.435830980427438 16.926167024883576 12.095338813618708 11.074913384684384 7.729826243186445 11.01667949500817 11.294452655827167 10.423266836499652 3.8591208937486767 7.130443391451471 9.29454574122369 1.6589969448302053 12.0183489030844 6.360238375461218 12.086523486824658 8.039292890853835 3.315163488199036 14.52488479603313 13.611577111722438 17.152384089810393 15.36914241939246 7.049148957713336 6.994262626729184 16.11348152214677 14.244426024056981 8.415091341064562 8.054386823699003 16.671164960309284 12.13122055809879 17.229306405739578 13.416767691666575 5.563900831909629 8.509735627977818 5.538349636640223 12.351981369094498 12.033252877446946 7.9051599147253295 15.068450669190096 13.305255424609893 5.814374984500364 5.096240708927484 10.883761886402233 14.720713771989526 13.770617859583696 7.0952780765848225 6.9919776684140515 8.886078322959413 10.797850264148405 9.843677929169347 14.370887900161144 6.375479309987677 8.274107606635953 15.561743988978884 9.748919088732611 12.6098081050569 10.768103945992012 11.656279573647417 7.798709379374912 10.439281995852804 11.341643523488749 7.135140267826931 12.390840135869695 10.457822047969891 10.258540779264996 11.06975287857686 10.023408466158612 9.70143500613611 13.664634743361695 11.373123441449376 13.478518845527041 11.570958169353366 10.746339203454651 10.810202870506851 8.075603311168704 13.45772471002639 15.396235584900102 13.733491303012675 6.544573093044128 13.800199544405839 14.8784931031719 8.268235166263047 9.035442055139951 9.063622175692966 14.62701796509942 10.17685166886069 10.326404955054501 8.490609113610663 15.324251263979374 10.992879577744484 13.29525508428386 11.610575075896648 5.50170885460398 1.5774107446266443 5.398913677967167 7.6583168618428274 14.395634252474581 14.111777088090253 10.162055972789341 13.536666079108233 9.993160731914132
100 11.887973671466426 16.74011129487035 13.789122208089358 12.765362554533272 10.409857460219579 11.677425974001226 11.592796280764624 7.82121124932069 2.6580151662882217 7.41749905791082 8.510176794177895 3.7173666798934253 10.85724560803629 6.459948796969131 11.961245895010734 10.217518842646426 3.4112715091195236 15.354587213269133 14.271819780410825 18.39623579287221 16.77306666008601 7.677373534537316 5.557295715709829 16.069340595666322 14.647972535544067 9.449712031135304 7.619151076169385 18.32575284298916 12.48443933373975 16.143539201619944 13.273055033191293 8.878167970500487 9.93295300526317 7.596348755863304 11.404576001111653 11.47540547161348 7.6127154785593 15.590375601502556 13.512467282999395 5.96997180432548 5.25351279782872 10.354477625225126 14.771027088977451 15.575639988710273 5.921658251767143 7.988398879397392 11.227237110079452 11.086908024735061 9.584455941647438 15.971496245323682 5.841735460745486 8.92283284286699 14.405381581400235 7.915772382173659 12.876446541765153 9.629853349065264 12.09841151517313 9.911998902910327 13.296009634571236 11.910918335632724 9.129891569225261 13.338195625094057 10.533064065914246 8.198666746514965 13.647804410133757 9.288943202287898 11.9924800430987 14.640958199173014 10.574376682305488 14.286996164790065 14.790230386043982 13.323346217501413 10.688500860385693 7.838421389224881 13.97202104174146 15.584504062515514 15.610401224086724 8.079799209902092 12.038388880961387 15.71411853142138 8.66317310807949 9.753474153362466 9.855391425559064 16.38343447235874 11.857329097189337 9.808661032458662 9.053216230181114 15.024445721034386 9.30174039944751 13.41048653238506 14.293566689187639 4.0464147923000375 2.487831657137118 6.129573889363923 8.733216460289917 13.44993656065622 12.622736477898455 8.905835954773586 15.645078342997905 9.19636125584146
100 11.8108027112969 19.546073357010798 13.23978778127781 13.58660173038219 12.318266612517483 13.38206234977497 10.30222540552628 7.660111542270382 4.051088335415803 10.744833230887291 8.239597685354093 4.006828395714577 12.033091494664834 8.045127780450118 13.349190600433694 9.636440273663993 3.6409214766567346 15.841306628635671 16.300385683944903 18.090182825187643 16.978556006595163 7.010802252594857 8.861580234324332 16.540984184703117 16.475523788858467 10.123973596004982 8.30113187096228 16.463045065803257 10.019506241128504 17.94686106352233 13.854741344746081 9.806800660291904 8.815189895212551 7.0348605577701315 13.262823275618121 14.121199138332521 7.4412559768610285 16.72934733425019 14.200918868865754 6.632172548617976 8.311235055468678 10.320095135040592 16.67802988310277 16.345665540608735 6.793620250078197 10.287473234259506 12.046653812994846 11.496445690436694 11.839594387005857 17.924124060703814 8.212994061219451 4.541510700142396 15.245707476137428 8.91763133361618 13.301446490339192 11.012247551391516 12.890536834499631 11.369931542111908 13.256046867469745 14.294881341949601 10.732141189979759 14.43908457193278 11.769745100277213 10.279130282514927 15.317980660589953 9.840535242037475 13.668893174008005 15.104256515085767 13.601681120594161 16.090336052220547 14.265600487634003 16.817610673848225 8.531852156983966 9.399377982699399 13.439747052372882 18.44248079709041 16.16684009829819 7.562556362891516 12.247053739056021 14.989929573725524 8.899775118683632 9.9864153274142 9.32429885666653 16.844433784922813 12.700793340321736 9.019498462286311 7.533857438741613 15.74124018898385 10.604163093796297 14.62236864088447 15.159451561192208 6.976291552652871 4.717687616359169 10.412691866481163 13.436969547651664 11.536225670079645 10.228649456762394 9.525646793326366 16.579263527855673 9.64400197377617
100 13.350054773450404 19.102572637461524 12.809519209080825 13.239169078618913 12.513084626153956 14.792830203619584 10.223920780500974 8.124248779555309 5.792370232673463 11.175187660003465 10.486888778072576 3.8029478411249116 11.168400960621037 9.190893567779112 14.33729558517948 9.109251425053653 6.371986153144979 18.538383385121087 15.782628753844904 20.04630115335695 14.123518384670344 9.172412760561864 8.50434601973062 18.075355087255204 15.578504061294872 10.682958354876794 7.8259180092518275 16.39150325636732 12.904614854091996 17.889107780365254 17.08356857933577 9.964992534459558 11.369590975866341 5.618638036909493 13.296182522280532 13.68147985979281 10.139782859558707 17.190222533574005 11.923429060967383 5.77653837459834 7.5161376580665955 12.137458949026689 17.9289894771039 16.206092082667894 6.996822291086409 11.639594662783265 11.008344151545165 12.646397452324411 12.689257468209826 17.806264664500038 9.464178855718767 5.665415461821624 16.132504769138556 7.909983196026165 14.58440002108024 12.902934376246858 13.751567708297031 12.68912254339518 13.449646545901478 15.783627530634195 11.35984418696726 13.30945667987456 13.406469000978714 8.654236823886722 15.956120442697804 10.064443958481409 13.407431424206187 15.556905412234434 13.078335791277643 17.055931857569306 14.683571648082575 16.30903080364522 11.024610599546838 10.365627320134534 14.695586541639003 20.55840077916747 18.200550712200805 8.904847471130429 12.44250403224284 13.395588869241 9.841298654882758 12.110664633817168 10.29924888494521 12.457962104500147 14.144183002104878 10.82591653146094 7.922670028859184 17.32181828750083 12.004426973680374 13.94316711176735 16.92212589236017 6.112366788764458 5.521318411926596 10.818207443206486 12.811368375580507 12.448534696457132 12.57616646545276 11.792515106803949 17.76603030956718 8.004352241993336
100 12.143825621035736 19.25319403757715 13.260810663062179 12.969396647392184 15.431754152505185 15.15936256496558 11.486151898647673 10.217546997359984 6.756302036007786 15.204166445397767 9.92303048245331 4.015054774262553 10.60463135470066 11.90101640038113 15.781912241078253 9.028362228910842 6.066852039506358 20.371838013357177 16.581059587526347 21.785730212477354 14.456440201119586 10.468362051827354 9.67102437472475 17.437006415306666 15.795958655170576 9.755669082542347 9.072414282018588 17.591138912151035 14.524113339993045 18.84132344162056 17.207989612746914 12.630448515957935 12.990103800770651 8.202829496131134 15.585198306946406 13.800704490196924 11.18003564934971 18.38891631895463 11.000784825074238 5.2069272442753896 6.393901709467817 12.489431479742795 17.624772697101676 14.598069514835528 8.0917735336058 11.8539256475577 13.035671906969114 15.747636084960082 13.596020306270987 17.145903947053533 10.961813051363501 6.5980285927561955 16.00672634179432 7.574015263095857 14.386726699740487 13.113114905614028 15.187709231992779 13.810420577884424 16.14661024799777 16.900284776246746 12.414883252493587 13.340091298918676 12.528506994837244 8.507945162855215 15.2778067498046 7.442656785502043 12.431727117017138 17.84100643949897 13.985994131731344 16.80749339506098 15.519541814604924 14.092759836768002 11.993037470084872 12.666206554124642 14.897440049038634 18.40197375460559 17.753837335157918 11.074247915993828 13.35381230269373 11.910173765433752 13.533423943387044 11.052745323878465 10.437757229157215 11.462112223653955 13.022463046211918 10.723674226895268 9.50401635282921 19.199870150819304 12.000666747182292 12.881666515699697 17.548814318096007 7.605162510552584 6.6607091573973225 11.759867726003408 13.148168722346508 13.037201983603259 12.841694279676247 13.691079580672545 20.837352408170236 8.898663614017352
100 12.745445830892209 19.51047966814844 12.880402435439287 14.362734024184295 16.276399081842712 14.822458961796585 13.146829414269863 10.935195687998275 6.340925102940147 16.086955395552955 10.932242669041193 6.263598364206365 12.390079093564832 12.282687396521665 15.487995660609853 9.670049877719178 7.385968183695205 20.923495481526803 17.25711074764163 21.46735472377188 16.14857625676046 10.152528669507857 13.610108378737493 18.64276784318382 14.727121653428195 10.672627016370656 10.61350972267927 17.277201640488578 12.819151319930132 17.51982999222725 18.200018782113 10.844643122459404 11.47448544543645 9.533687073815525 15.56512107267553 13.175112117096061 11.016927238147566 16.598670725377243 12.264862420551657 5.099752499909486 6.3393408381059935 13.417804759353475 17.440281511419766 14.040807039771963 6.351692510422065 12.661607302853534 13.512606799750099 15.378282906345845 12.510023512715899 17.450783379473787 12.161274715931365 7.601096212200147 18.33258107857298 9.304674563087866 14.670210405568639 14.507144723492807 15.56004767358189 14.26426183775263 17.99684337073823 15.908454041882607 12.891365154207449 15.319090806318458 13.459996169284077 8.639199829488403 13.335212692540038 5.36602136901047 15.52951264676781 18.307914068413112 13.605842304426487 17.5209242250204 14.559091032280064 14.123360327294924 11.320728711239989 11.338028133631678 12.5126748012561 16.60431625097428 19.20107421001543 10.173112524769095 14.576584831892982 13.606516904582444 13.95404235926682 11.30786877744059 11.062451626948864 11.33792827994136 14.883265504074382 13.661118803615414 12.057270951511416 16.49232790149726 11.93740100575517 13.206100641166763 18.11745088573452 6.112593900922322 5.162906480124034 13.99248656069129 12.890296727786577 11.534995362461988 11.899024400432442 14.597765946347298 19.759084722424674 9.8279865454597
100 12.046782840401054 17.152167375210297 15.22984050448078 15.195007951254757 16.06256569705509 14.374688885472303 15.438786103074936 12.353638018114449 8.702352041162033 15.7004434278102 11.63811372729715 7.6504259106834365 12.271433262652765 12.658982874097902 15.066767952777708 10.78933924045629 6.435102656771697 21.556539554503228 17.90435794576675 21.021944166580308 17.02694112820951 10.257798085196573 13.21675088817756 19.490516436256247 15.951579107515995 10.633795285599227 10.285953289544725 17.19850155798186 12.443167368178193 19.61156818661894 18.838768583910706 11.466535787308215 10.72190459828194 11.046822129266781 15.040416983535374 12.643171082724955 12.511100071824318 17.332079832684762 9.568177344483427 5.842220543207698 7.147568646374137 13.397702124688175 17.80898270848407 12.080561730547354 3.622422670375545 11.674671253161355 14.224878502005566 11.51131911791809 11.741550470061911 15.220999990911155 12.348137068982446 10.961556567416268 18.106121813129953 9.874661800263805 16.166938588728915 14.884821624543983 15.567074706425846 15.8364880034949 18.66348595715676 16.519162042159458 13.12824621252617 15.181970072597073 15.125738398421097 8.804744144577397 15.32849398895717 5.004731092834403 17.60501693155586 18.959196959603812 12.748752198346164 18.398587054969845 14.043154111787922 14.626016541253351 11.279489027542104 11.75439775787377 14.232171346821069 17.666164180429053 17.770238074231386 9.220720292232453 15.382035420126211 14.402812286684002 13.450829735522749 14.004273843971045 12.533924056964928 10.949496952402187 14.12761238876844 13.685405189006676 12.140010159289067 18.37830057612346 13.725844947460708 13.551047432255219 18.931059389452688 8.025346636270529 6.097576321383204 14.914729397938311 14.147179289349396 12.690910938642148 11.435445335277457 14.060961456133777 19.440071483989716 9.468260809001423
100 10.683674042897247 18.07711029130205 15.999087004296896 13.690748562074814 15.958139908225185 14.365466567713527 15.898621346976526 11.452393277028778 7.594539433786802 16.730632909472227 10.179311839391694 8.047169579625892 12.388464302351705 12.926867279680726 15.720520327339859 13.345065637733256 5.094529262497065 22.562796343114552 14.821580171678697 22.69556923052443 14.587142037569723 13.93891247909882 13.159537405502752 21.248410616058656 17.70815345354605 10.624636822657521 10.233374262137856 16.257091964386763 13.793245558574382 19.045618480757458 17.94324891292814 12.671647318798192 10.00850256940203 11.032343372216666 15.450356188342079 12.120551852594255 12.230144198707691 19.493886838228885 9.948483283390084 6.183702334480218 7.454239104719795 14.36719955713838 16.588597792125917 13.093631878884617 4.9549889174525585 9.65480514583843 16.82835520434992 13.911325633539295 11.036469629773496 14.124303452961792 13.084610539649775 9.656621706027954 19.942013006225793 9.870869349855262 18.55788802672313 14.106296141572312 15.677596875885344 17.728198162540146 18.254864506244584 17.050873244307063 14.909847728602081 14.746815658163765 13.819594691575134 7.439798960000136 16.330967586335788 6.4258571415129335 19.062474658647922 18.601416961467294 11.295438506738677 15.486075663669778 18.094672942366913 15.69533200023616 11.989518616998595 12.622075914051647 12.722548362565867 16.922883430152364 20.14280074464712 10.518958018536585 14.752128217350975 13.07865278882577 13.142435163543285 14.010810565719689 15.489130561665437 11.10647577239908 12.786335937925198 13.895077287445524 12.939934445817926 16.83822811462416 14.607631794177262 15.372242818800482 19.006660240966337 7.641012213623118 6.129205237504985 13.065758173579901 14.339311164369082 13.50019274338584 10.786783235537074 16.920097032226614 20.53762702983258 7.658016420284181
100 9.054048873163332 16.79373087172296 18.343065336838986 15.192008721190138 18.30004701218448 14.627528127733726 15.840129133895125 10.42771567271211 8.816820601325302 16.797633727602875 10.536273931611117 10.881044047581527 12.800361197110696 15.10294897326656 13.968389893725725 17.205257261297916 5.483645278039381 23.2797892311714 16.324781930046374 21.802455655300225 16.026888855052928 15.410258529740965 12.720204307800172 20.320840259181644 18.038757900778887 11.076694614295512 12.494865392999799 17.383779493833188 13.974826974638276 19.84988611395604 15.51713440538493 12.34748706511989 10.912405302541012 12.928474288245074 15.977887778153098 14.383572083703754 13.76073708512978 18.912232564877957 10.440266258631736 7.566605285570269 7.428987798468347 16.70947178277889 15.351676350457996 13.938746700055388 6.911069775139133 9.69424740614011 16.268076961665784 14.212327747426942 12.49492690228672 13.929090597444365 12.126263257644887 11.819819314459783 20.421191945637794 11.833537576338886 19.710137157976494 17.30154353170483 17.396925313109836 16.939888739318402 18.902535248490366 16.486952441899618 14.604789274231022 13.24601178959253 13.883909092998577 8.800626840690464 16.449647917619796 5.900676784539385 17.080850050531534 21.366043109844732 12.241156688022322 14.742068940472292 18.80698091623451 18.893092828894964 13.328271150531476 9.493011610023286 16.636978277923628 14.874808171926182 19.851101572716622 9.446583953416289 14.217826784744554 13.817352315028657 10.858233335716694 14.342083850450862 17.12227842832028 10.43405591961129 11.27827585229611 14.009823462454797 12.945183002726203 16.28857756060905 13.398224364191854 16.209969891568264 19.663286842859005 6.980597785304978 5.696983316239854 13.682449286728124 13.468214186037617 14.122018731125033 13.29021281145631 17.039333336371193 18.968759086372216 8.834136863358344
100 9.646269585721505 16.67417308838737 19.134456129961855 16.36373329463505 18.447304947887794 14.798481468676203 18.755184102132503 12.691224695030463 10.645545730786356 17.30856326917624 9.914874104139646 12.951303970212868 13.578684706413483 14.69382542566051 14.095857955115655 16.099558028911105 7.769415965332319 23.906496632800422 16.870521008970037 21.53877166119867 15.453413979660368 12.912105542295489 11.432684745110672 19.396292463959142 17.147981100050657 12.068974487573778 13.890612802388372 17.374633618874537 16.08732402370286 18.799442456366002 15.743268489096167 12.810451337338415 12.842629757169695 13.425167481742879 16.405173189251624 12.484060463574513 12.925754363684609 20.430159891829472 8.432585945370725 10.137744210932796 8.677129287170704 15.967719354577115 14.565919298810016 16.81529651224271 9.693778672166225 10.014696109873976 16.627972808850988 13.78138791220452 13.01017272727403 13.551582776409093 12.545373429471306 14.752381056103536 20.224294429849472 11.046724183248106 18.038618131829054 17.654076338543028 16.589212892008234 17.473359663838647 16.79562841880335 17.59152976199607 13.550872074821296 13.758760020091366 13.906877015558416 11.647521209166964 16.883990694880534 9.429790317088358 17.931653486038485 23.067124762112876 12.470295214588058 15.58782486226514 20.466590856126054 20.246421750114052 14.504394322642012 9.79064007277225 16.685378089073076 16.862413406827095 21.593434546489895 9.171883011309605 13.741897879048166 12.990656287934069 12.516057020009491 13.593063238756748 18.23475870538396 11.638847810629912 10.98400737923213 16.352215466728357 11.52014296284567 18.720092098274527 14.247149684617808 13.636361175450052 21.566341260802734 9.061315594964828 5.994568583896918 12.859804549499135 11.892965668893249 17.64010895656665 12.57018184872073 15.600012832538829 19.424405080915548 7.344479107378673
100 9.311054933634841 18.06708009095732 19.886414228777348 16.10108455598047 18.58109166937114 14.509464178152905 18.73507197534192 12.37281963751802 10.646298350006715 16.883812258814523 9.8386127504184 14.877342788724052 15.22860901974291 13.920583216496889 13.064387272192615 16.157558634860347 11.49101660999882 22.21107846787482 16.990670766572933 21.42482666769452 15.727620502255506 12.827184309671532 13.687711956244879 20.105056323264183 18.637224193179225 13.498321896349335 15.356337142042094 19.623900032694635 17.99607460644005 21.86102369456947 17.79036349400881 12.53890628265897 14.410735134743266 14.741277406986422 19.17316724702134 11.669881410047948 14.114181160296772 19.542935457212224 10.074790644296437 10.654089391837713 9.923506084829711 14.464918666222712 16.009873115027897 17.361155272807746 10.818091511907786 13.095320504826422 16.325156645346333 14.748041922018741 13.508931849054438 14.433815226321817 16.026118263212666 15.309353575474692 19.414659816584585 14.226439408261472 17.8887992769484 15.765122588086426 15.903555908032533 16.06770483775167 14.611139537293738 17.285131662032846 13.926346951809107 15.796701261850817 15.277132178848253 12.927437562453756 15.9433576025204 11.51329701070244 19.82251959430087 23.271224931196464 13.60145507207364 14.355151504661372 21.80362586110993 22.67210581389341 15.41776420374871 9.862033448111708 16.776079312748102 16.77610238019424 20.985951571686616 10.628318845252549 14.728226644262906 14.774737118241706 13.567534224331304 13.07528041605312 17.560136463789558 11.409988135951165 11.259388083357468 18.880637726329947 14.737386220930397 19.954129314915775 14.857930823004812 12.204251054535709 21.51114582274056 8.856382222367158 9.114247049432613 11.349624480776697 13.066293770926755 16.693231999581112 13.18638992389995 16.81670187983666 20.84739892392037 8.142175200764587
100 11.30063644887083 17.201145168589438 20.301215981088827 17.67237064389079 19.11635701054061 14.139982002197168 18.43649680229647 14.413512546448942 10.008620027543742 16.071231591147438 11.524618947141391 14.746633141767434 13.883798633857728 16.190784691320736 12.254335336935776 16.165561516605344 11.350179780279618 21.583050131882256 16.17278408725826 22.124805556789344 16.280631112606564 14.641321445735043 13.501530577341564 22.945329580622243 16.449527110293527 12.013755759043956 17.836361047715144 20.262502248991623 18.477011002053253 22.225710553680937 18.855653835689814 13.569517184083363 13.516932980994428 16.109606082370625 20.099268331394576 14.048593048196015 16.795288695755048 20.039250161344476 9.362437024049163 13.742110379240481 9.148661980319371 15.362794513406595 15.991845975102954 17.04695691523222 12.683998402163835 13.739568146059197 17.217072646265013 14.153082203513033 13.625515472844091 14.01209835136394 16.111578568868403 15.602695912243886 21.800125930808687 14.417391841218485 15.39613212052971 17.929556748931976 16.827858673543453 16.228578505359867 14.372614715565321 16.24919429442312 16.90004996659014 16.227601154584697 13.483681667937727 13.793908232198794 17.81244622583199 12.521687006980816 18.58943418190269 21.647280032178664 12.923961750180935 16.854590990910307 21.572167955477784 20.41674563411769 16.357516197620964 10.913782238814152 16.497457185299233 15.932765563235057 19.506041649442402 12.564125146746466 15.618805744578292 15.754950881651952 14.393874078781225 14.168262105649895 16.978818292771994 11.680727675857566 13.28859429096813 20.726329989476692 13.599719341731072 19.739623444682778 16.374315908022226 15.111672410042786 23.47868248021536 8.68890213771467 11.565996483406192 12.14080600309593 15.030649165740096 17.987543302327122 12.146412893323298 17.800814323171114 22.14256476130136 8.961908601811357
100 11.882022944937606 15.224281114158149 21.257612031631222 18.100302810193156 17.983741688277117 14.086360889943748 18.730329574788062 14.2866982068893 10.897545292667845 14.305466105707477 14.10312205409648 15.2470874099835 13.145222535914902 13.353962046348677 14.318935262558142 17.175186565726072 12.343734485625498 22.5007010934052 17.71319573119114 22.076359205516052 16.34031998260441 14.520046914021579 14.709499998271959 24.599255698077904 16.80319713184209 14.669308388641163 18.331343272434903 20.728606712830747 21.60360220746725 24.135345342958612 21.293947930359202 13.130609092794892 16.825971343419678 16.214641379270752 19.798863068683023 11.601542931098642 17.411586292514173 18.661069438243203 10.89316700116025 12.812766653356766 12.134189583787489 16.494429012517905 19.293568415405087 16.004608316020576 15.47367165048064 11.690801371501008 17.653516488972 13.87689682441045 13.398905159583407 13.991969441834536 15.282206687337133 14.417992705490736 21.01554241817462 15.115246190004445 17.40260391319884 18.509005555964933 18.630770711055145 14.646573627391176 14.180861048094943 17.466678136503862 17.585225770793947 15.459885516559453 15.341828887083565 13.501128407280229 16.968688314000005 13.929399231727826 18.634021123837524 20.743744083112755 12.804592597220344 15.813385257341043 20.929410041938617 21.95474476311771 17.067237744845496 12.998589591568631 17.516211120671212 15.721153068709205 17.38087777000651 11.757196956350583 15.278901660604026 15.08246857285446 16.142562589375824 16.0506600264584 19.93155057087478 11.239160653993643 15.746656582024062 22.650102220938837 13.872085634274168 20.43282881960087 18.315524070313174 15.286459652920533 22.767427480021205 8.810946334854702 9.14218339478279 12.929022536100497 14.592345235641853 16.770172177007115 13.423610238282498 16.11981432201403 23.070736802275327 10.424398191407958
100 12.282179957158526 15.389026620441777 19.69836732311483 19.206529130688207 18.39930329814773 14.830405862809085 19.45693437362446 14.10906689500905 9.798449602454463 16.255729664612456 15.658109855654553 15.02393276106 14.487201193783495 15.630261157794251 16.399390304157556 16.65789713865385 11.09599807568246 20.485706952307137 17.62530132461224 23.656923363366673 15.808692148673698 14.209495653721932 14.512603908749877 23.586227842475193 17.282721641652934 13.563045880843823 19.707707028073468 20.467900003775807 24.548742591814793 22.18259544461147 23.42033577502084 15.623050903979776 16.491979003795045 15.920209017576427 18.62282420771927 11.024201582252672 17.563194209202766 18.842910922121778 9.75229065553291 16.5029227208721 12.230854834851975 16.92620339754718 18.55051619955398 16.06012153484589 15.597024215117491 12.186737122773817 17.774699626341317 15.535252992983768 14.097944527013741 15.611530808597491 15.730979192415656 15.312114509825168 20.545733669123525 16.94707101014518 18.176054865895487 18.46281388799114 18.535154771348147 15.011224813300657 14.63757044804603 17.601365560600932 17.055583428014153 16.901738901700977 16.947465716822233 16.275107226630656 16.438754147233315 15.505955770876541 16.187606586497743 21.660512922313103 11.57343330278978 15.003066548246606 21.280079217045024 21.126627120315163 16.44076516757358 13.087332546953958 18.74929168715489 15.157150610457508 17.51939935301819 11.765686913795957 16.949271413516236 16.568659590187867 14.11173921627925 17.911247187223285 18.958656767843177 12.179899978652273 14.71894710150143 22.805528078848504 17.783831505088163 20.620224129718782 17.899221539502083 15.240157858270962 20.345192188636368 11.694598606868498 10.458768787061716 12.246483162000366 13.83244188400422 17.092848194595845 15.307029770716039 14.994599096151049 24.30664911347017 11.074346247007545
100 11.920838177821363 15.003755815248388 22.09273466346391 17.43303477913413 17.577291382330433 16.392249681799765 19.747543521617487 13.72566570278126 11.985392410929748 18.082052152366412 16.58872351447622 14.69990755297953 14.553547198262589 16.420815943567362 15.09193763779873 18.63564790979732 14.071444876823188 20.0604632179785 18.399835271862525 24.756858521530557 18.79420072501434 16.70530241896807 12.853021908646467 22.953864755376973 18.36632147142974 13.549261545665154 21.876247052068464 22.538857318831393 22.971220563959324 21.728373049696668 22.322018673458153 15.812440405853621 16.420150704210535 17.395812299023795 17.588657509669012 8.251747310043614 15.610426473749449 17.63911904663477 9.899891589836717 17.11123733243736 11.234835589742314 15.647056633364254 17.473568855370672 14.990884743387268 15.429736517247347 11.84696318900472 18.794466140249554 14.694234724129336 13.960397316818725 15.439802144007894 17.18661817034058 15.604201182589545 21.80202216420772 15.798858418721322 18.38533048244854 17.870750274660388 17.09190117378975 15.37796228000922 17.25124629083698 16.68040705028889 17.123613420950342 15.501947666604229 15.420890755430795 15.45158326925788 16.143039677414414 15.525093290690137 16.135971680869968 19.28538028664425 11.499264886059239 16.17406183234463 19.40667834114001 20.716090171602744 17.21918291810695 12.751857540882929 19.361028666145675 13.849393363249364 18.862806180442192 12.720369873652489 17.458779209157676 18.272320819261537 14.196666537314115 17.430697469210994 20.65431511998404 15.099973102187983 14.089775650965162 22.331020933123263 19.379645315949094 20.523846016469662 18.88154962215402 16.503477622743386 19.329222932035698 12.952535287920222 11.210566362262526 11.375276711915031 13.14847470569394 16.5074267730305 16.997622972387113 16.695730619494878 24.973647946803244 12.328178754208464
100 13.34741968544005 15.623351915687532 22.539025499303737 18.235446737630895 15.95348913896797 15.557910596995075 18.394229470749327 15.851420565136218 14.891803288163015 15.621706153220256 19.04893544505254 15.318669990905356 16.53493026018056 17.436908999980865 17.48026225223203 18.99267858468361 12.81740412310805 19.83972842927805 19.318991816136144 23.93407792144483 19.840844105417563 16.88250980396852 12.826109303252272 21.37162805153972 18.201773893240663 14.453089243456656 18.99117400760165 21.29842689870639 19.98810283401004 20.719130925327427 23.847720960496364 14.702858310645215 17.564497686202234 21.210158397217672 19.689768564343527 9.301604325106261 17.029536146848272 16.09698080137026 8.854452540402995 17.46574433317431 12.25177790336834 17.479074942149197 16.960007378162143 15.720420395777131 16.211596881728973 12.147692001785229 18.737923243389517 14.106643791940694 14.667365089195759 16.251798748026303 16.898367866604016 16.943449440157067 22.918909500368486 17.132733933979218 17.289047365908395 18.209907786138476 16.18395930204293 15.932157636127315 16.21163156130439 18.610311000272443 18.37277557029373 17.431488676779406 17.29484156048438 15.373232016954717 15.908178669762032 18.34103148968646 16.171045502238012 17.493887192523374 13.564334727663576 16.785348148834597 21.416825525982574 21.11913894211352 17.528868326431617 15.45487151680456 17.47818507391618 13.879367424049217 17.78426298185945 10.269717849347941 18.992697210209663 17.64530388919799 15.88593346232525 18.304697569034406 21.207671244814005 14.790050101351065 13.426244305989373 22.157812291643804 20.6772945892935 20.47193310079396 18.09639018765634 15.087826394652529 19.393604462907074 12.845772380351889 11.822019586222071 11.85971980421015 13.23991419738566 17.205892918934822 18.062431497049065 19.561077629746038 25.58971114411357 14.982256578830619
100 12.986790780790885 13.730511702838028 22.408302985856462 19.456632337377105 17.17864269491375 17.375705868864287 15.189306536633717 17.941935838319274 15.791685708627027 14.138728655693173 20.185744271130382 15.954270095505045 17.48375672368575 18.983530593009128 18.323955926870152 17.12716835881705 13.206218530560651 17.67777550144357 20.318334592840866 25.319267430995108 18.31995641184304 16.23650191121765 12.366638923896472 20.750280209081822 19.067244540878338 14.390793153762823 19.75764230490599 22.57387553869257 21.300862869237715 19.155363073207358 25.500535053670045 17.09311348730152 19.703708888209356 20.805117704684275 18.740272100940917 8.742936894677506 15.76310403150642 16.452850200912675 10.956659953840548 19.427220131430833 11.997668767312806 17.659388032034403 17.07233172523545 15.275473630766749 17.63373622721245 13.028180443506093 18.96132433638671 15.099150420272466 15.726520645334036 17.48693613764879 16.091431062444027 18.437368006768224 22.96140928534474 16.878084603489203 17.917719189416434 18.823203216276166 17.916095593545087 14.921576545466277 18.144906198674228 18.735142120713633 17.827759181693537 16.97619650282468 16.309722483117927 13.367064461240798 17.099478424067286 21.19962907720483 14.294459082092526 16.37196546308827 15.0710381124232 17.06698625476296 22.390720424166226 21.035015492433207 17.057505998458087 15.607176395774365 14.637818174571427 13.116033308965525 19.171130461611117 12.382597774569987 21.06525508042102 18.35756773201127 13.289420829425683 17.747837503240913 22.669544075095285 17.183303616536495 15.552864156541832 21.598444411849542 18.970383251251967 20.435677510952125 18.29455013446057 17.36623831325056 19.500229471151446 13.43871026068556 12.515681453774478 13.070385391051824 14.660940111582393 16.499126254624098 16.918855473209778 21.401068177928057 23.06887810202074 17.435636114291118
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40
Frechet_distance/test/Frechet_distance/data/curves/generated_100d/4.txt Normal file
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100 3.398271345429282 2.0561076778001905 -1.1096511892734173 1.750052257352658 0.9259377028214231 -0.5185077015204982 5.717054103319623 7.396826080326926 3.6871424664100907 -0.8094552655341258 -0.07789299404697592 -2.037595592726439 2.348934539368346 4.962028058334194 1.375055590809227 4.301271344048927 1.1214776232676602 3.5055032550548217 2.563409595433516 2.1916907280595734 1.3074557951887866 -1.087073714067361 1.2965937430480183 2.0905960769945895 3.210743680842502 4.291728084185123 2.5615055232830404 3.8876216109202075 0.7956292744450917 4.212759921090539 0.040300161171233695 0.5856268350379176 3.4068332626168996 2.3438480663910095 2.2234399360677775 -1.5509793690126479 2.4495221927813553 1.4591819062266769 5.767819853434952 7.895010321042083 4.523912771370806 4.078619419118786 0.38799318104212555 5.464720846125584 0.7464862994530691 0.678083029225131 -0.5943668682578829 1.0599680719960223 5.451902893366711 3.386343110183377 3.2156556935412794 1.9816835977875822 4.158750140308265 8.111775503183356 3.616626127355153 3.8694513497279255 4.5394853187111295 6.622744651687924 6.133146703053448 1.6822533186225384 5.722614354532912 -0.37162606398224285 4.392962871105345 -2.4252104826450784 3.9123558469202973 0.04344378138743424 -3.568555001308719 2.0869715080581823 5.472377429609795 -1.343366451547977 -1.1656680238122514 0.5429837997326101 3.645858642015317 3.21992085961366 -0.40309472845809324 7.79414642173023 4.345282653960193 1.599354786160774 5.452711005061484 3.1277208523011075 2.3874425663277945 3.5936077082087667 2.275546781700687 1.1176292084847885 2.369024801556221 -0.007477158830106023 -0.06719935510609604 -0.2570066367101812 6.650260215055809 2.5204737754346995 2.80453898769634 0.9636515615830562 -0.17237017202922278 3.942317438557093 1.532408628453313 2.813842961520681 -3.81107687286337 0.922492700965342 3.5242764825049315 -1.6504915686530954
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100 2.3676025408287678 5.992214300723476 -0.164668671558741 5.020941209795938 3.1244825391030577 0.6524417989208593 7.060842358041397 9.19616949144734 5.503581227995108 0.4025018848259914 0.029114715563082427 0.37099097314719487 4.069074514018012 6.414012980136492 3.961223584005626 6.702845719895831 0.20497020817042755 1.425604813030761 2.464237569330455 2.448203660293392 1.818416672473492 2.5401517213075278 4.2658347426916805 5.2191127409530615 2.145551740511957 10.143160804930243 4.087950167607485 4.171120222819731 4.04841783360007 4.794194634464457 1.3936520076931604 2.4366458371907944 5.847896463223245 5.309379602455244 4.2752555707620905 -1.5554317620370774 5.865082631930219 3.673627927527548 9.691440749840444 8.801966280184958 5.094580951393923 1.6481105253506416 0.37717102761772714 9.098062161600508 1.948517170369451 1.7165240172225795 3.5475177229935566 4.170180268775189 5.813841532039659 3.8246113772356662 3.4899697012654465 1.3879832227674438 4.046768806630927 9.279459989592448 3.4702668174299047 3.181365159417844 4.181063597810052 8.59487255339848 7.489781779875608 0.741848171000485 6.730853905323798 1.520559567274554 7.70965826280763 -1.4721567849727943 4.656669863149802 0.3035936651729938 -0.8085427107961407 5.49796346016278 8.07368778877634 0.7133532069251409 0.9056653995709556 0.9372313473291036 3.652017120257045 2.298244661787697 0.7470806326923572 9.092324374911708 7.8722839941768825 5.59161966804391 6.100013301646079 6.14758462296744 2.8970357579559325 4.475574097058155 2.9100969423871526 2.2648920274242736 5.3729065304401 0.30159477423795966 0.6012838875657636 1.888695942140552 9.017274229401425 1.329755043129919 1.4082356649652552 3.7666403348839155 4.04352858285277 4.3949869618435216 1.3911693622799415 2.4837935990761495 1.2624812943430848 2.2134035458878545 3.5329344167684393 0.48113918184146376
100 5.2276180825563605 7.352008326709534 0.5786783982633336 8.677210513695925 5.342730335900854 2.5807193542554163 8.00492017684593 10.61615588465759 7.203085297827034 -1.6471332449202578 1.4751394490427747 1.0674128701153986 4.107776549921278 6.69156717891766 2.671265472731843 4.929470659341021 2.7381338523644714 2.8712397407179044 0.21825924207694225 2.481871826337909 3.7284087744537215 2.979640662562369 6.6118825524979155 7.33529512119559 1.2419746516195154 10.425548143752543 4.314456495266041 3.0137823430227466 2.844518265433943 4.382221249720288 1.3824260057036815 3.5211913946872206 7.88557744183596 6.631159852465922 5.878030805745459 -0.9830722636738338 7.3094169345102875 4.271669732486288 9.703564393445996 11.94877587784572 2.76634461218088 -0.012171005151360603 1.6399615612241663 9.264492166794003 0.8522348663652188 1.1513355861897911 3.0568278642117503 6.040802898953988 8.097160577973284 6.699905496275932 2.1646779253163997 0.39482754611724347 2.806085695791997 11.413127078850396 4.760166515449878 4.153803148156154 5.205675027937612 9.097033832462111 6.570959973458511 2.213607527142571 7.034501427699956 0.7565528153230878 9.14004561681228 -1.099035106990209 5.698705110759704 0.9823082162422626 1.3502496930961105 6.465499293736707 7.457252787672926 2.0054367666415542 2.195255393736291 2.494018272304924 5.714221291539923 2.2290187902451413 2.4143039013850065 7.3556136638897875 8.360300110575078 5.89835124368339 8.606463418419612 6.590318399025984 4.541241269404828 2.9032418705160215 3.204673881881374 2.0353618184651534 9.280660509674846 0.42001304570239073 1.5883399895565005 2.8034626361397255 7.368949325933176 1.5912696410981177 2.880522954018727 4.604704375714253 1.755020540675491 4.452867132190048 3.497982880770391 3.991143147031269 3.7348533578228666 1.7165276424067044 5.94567757281509 1.3001936356397272
100 7.950669416322931 8.01203741972839 -1.215946245702669 10.342965284426864 5.381033296266537 2.8761145474542924 6.608029142874068 13.134047400784526 7.160911794708255 1.2877883714538867 1.7876282025171135 0.7414024905613825 6.51470269593585 7.118941927520713 3.3854779005653794 3.9211576023203216 2.946566996144995 4.213264683273586 -0.47067474980956603 2.568055806802346 3.8651895497417716 3.8551362658400974 9.160725376845205 7.605418870046807 1.251917166729064 14.454957286735494 4.555733500122839 3.4721464569337566 3.1259226751827165 4.681641820721766 2.3118451014081267 5.390065490700659 9.00260594028132 8.629624056721171 7.7937153584792025 0.18736725872047266 8.39769490350789 6.482230384305559 8.848643624230952 15.737944058453252 2.912842720037019 0.388038454535578 0.7774586558729086 8.234625576134833 2.9459076957143004 4.939975034503601 3.057954273061381 7.122397414919437 8.99116078380549 8.617870002178181 5.855311787598119 3.2071999255577546 3.1826558285033824 12.464349247930624 6.27047079882352 4.9575637347535615 4.46535456739289 8.615727649401027 8.648077473080711 4.5833524679917215 7.300284884505068 1.932944982818817 11.31974744866837 -2.39841268779833 5.822402920369628 4.421669942785874 2.647726361191618 5.63943673055196 8.174076147647769 4.153899825737706 -0.33983131153818036 3.5503866644313353 5.856420954074451 0.8343432102671193 3.2491453383402993 7.766769642880473 8.955239878072806 6.100094826642548 7.79277872409542 5.329390392998422 4.428036953965151 4.815271127891357 4.251402963343751 2.8328663378718697 8.444727345878494 0.9207703732288248 3.3996369165990226 4.173397662098142 7.244950896344386 -0.8634284509750527 2.888703804294277 4.670664898076553 1.3874729362455949 4.713715558047105 5.248430584974706 4.621658651266825 5.803631188103231 0.5684157186461101 6.191594743159892 -0.3749768613880846
100 7.898417746253477 7.2470841387434355 1.351600408082288 11.336954362759956 7.282905143557721 3.050560557970695 5.810736996701897 12.04625547265407 8.111446133141541 4.35664179317359 3.139779966480785 1.1046157590565961 6.821804024359338 7.556363512150899 6.746256456694729 6.193720801043678 4.038802600841844 5.043243235912694 0.898638734037331 3.9546843046198665 3.9714263308764526 3.4696190332098507 10.986116578940889 8.249457078931934 3.3472383758652677 16.856114050061265 5.986415123132299 4.589398089346583 7.983442155977576 5.56415492738701 1.6408389395504406 5.5816411380764785 11.533628223792908 7.428808515089618 7.262905959190949 2.42940196173504 8.566537817636986 6.973746411843159 10.84147830108709 15.155933328366778 1.7696816679102934 -0.621083369506479 2.248729438638542 9.097946303053277 2.740813419178713 4.064588561416072 3.407929166140978 9.125576794328126 8.443268033080626 8.25992171441977 4.913400120000827 3.400866749940398 4.258424867216041 15.514093491517368 7.147234253851636 5.64141194181596 6.2696689645474795 10.071091860655722 8.362264356924006 8.179091880097811 7.76598961190604 2.9844542356805457 12.533999304382368 -1.021749118793619 8.468952066832793 4.2808100235497735 4.472886136298953 6.499235571237972 9.956721867074636 4.560788127040008 0.051604677420217404 5.242185523191868 6.91078722684127 0.5316567592268091 5.654233372158664 9.260439583340636 9.427995927867467 6.104524247050154 8.789972565468481 6.841755315326635 3.1062843137846077 5.975980172521302 5.76094237887351 0.5832709159091376 9.226190603292293 2.7397138757529227 4.886583815719911 5.835225397226293 7.2961511096923735 -1.2153068160531453 1.3900778423762614 6.7466263731460705 3.088710189433124 6.979662720566326 4.884304894933504 6.284439215156447 4.503467648183496 0.26027739179337384 6.9551898055564365 1.3634564705646803
100 10.578103918002146 7.553193372732235 1.004553790661446 10.556526946155337 6.881113240213832 6.651991716063601 7.349184436621583 13.814144263000363 8.356420420646996 4.9279991001004255 4.794707478024897 1.2691320276588078 6.9741396240765 7.131434419033736 6.735862153492372 6.818912219333184 3.6667533697773544 6.056462568130069 2.175371619505238 4.395168529381985 3.524884123771648 4.323637500370309 10.727826124670269 8.8886515526626 5.5341044826834125 15.381726172141759 9.493233652280392 5.08862392210962 8.997607030779548 5.151951357853646 3.8898942627628057 5.95890245167166 11.419025540862535 7.2063884074886415 7.377237246832025 3.6688567647896853 9.298052299323606 7.526162656197869 10.419777312741239 14.525508187953324 1.973962691384266 0.8049048295781231 3.750876188325128 10.615668396395675 3.432455846617217 5.222228067290616 3.86511285013384 7.318239344923264 8.71657296606681 8.283275688498227 4.199602432506583 3.316156523808182 5.014677641206543 14.205832285780946 6.770388675406966 8.366690472850548 4.781133088032611 10.312652983788322 7.316436309373049 7.642024631775826 7.978907560270806 2.388606596742287 13.718137723983485 1.5888842732266006 10.103384775142008 6.235428760604984 3.395714113489753 6.782570889503409 10.985559817594508 6.351950357412287 3.1484265126969158 7.28847444580099 8.611193532180593 4.720480756154518 6.322398628935252 9.353979306049746 10.198972375323576 5.518660774568173 9.351144839932243 5.175997392277633 3.2137277929429215 6.4385585517597494 7.582110575310887 2.920392118155786 8.4585251846989 6.262851931115086 5.7366023268339585 6.685475227600702 5.660809438029595 -1.0213814232092195 3.647371789369915 7.524665230098708 3.931441388856111 7.913653001016367 3.593569516111986 6.696159852530826 7.033432354241246 2.4960063171968274 7.3505344385580225 4.184876193823614
100 9.326740451540271 6.900140714340521 4.227186604525368 11.756891844557742 7.0194320896158136 7.144700000483169 6.793312178211826 14.421695263963276 9.162758083583766 5.507488406094685 3.9677186267085194 2.4351495313071734 6.814680298991948 6.323977080920045 8.959204736635067 10.178783822833203 6.910219867700712 7.504703732602888 2.689369268654155 4.963838407018648 4.705863485121976 4.464025709274267 12.854845658766784 6.798081218489581 5.82092407651459 16.642486197555282 8.93014769767262 5.353356380222582 10.208349728953381 7.714605837154108 2.8812737472083216 4.709222242634928 10.595213492835867 5.747342518616402 5.933259876965685 3.0523235521807264 11.381122287176103 7.705910101126781 10.986125617037493 13.683209464400033 3.5988859895413885 4.016404553062826 3.178695230857039 13.277926296530874 4.575708439987159 5.858707801052838 5.047369579304395 8.365415977472882 11.677658969011956 9.474112863458153 5.576144732202728 3.4302305202304906 6.658329371127583 13.18474109960811 7.480115623944286 12.716300010703579 2.1898996602831122 11.089030659652078 8.188999385386257 7.812434850690748 8.177752489657058 3.2269185894649013 13.781116768364251 2.6260603752126555 9.943715939419928 9.40800411589871 3.837072758998082 8.115180251289965 10.496120540722304 8.15185001763931 4.792569745363297 8.407220278137228 7.7417107493770585 4.333105909778272 9.033091343320791 8.830670082382689 11.543801670875132 4.9246345628650765 11.115030446375354 4.939578919423319 2.759425536444069 6.110186204099453 7.37511158386968 4.245764472263115 9.07095611089901 5.51827155989657 6.326214773126727 5.7049197567072145 7.039595921943466 1.0535923453249096 4.418800872322711 8.406223564429359 6.881280260673718 8.312467033142285 3.0120777514150046 7.973151602329702 6.156767079772534 2.9556622699292356 7.117558364154689 3.945979233409539
100 9.484338119941624 8.771138524177305 6.390386893997116 13.397220159964835 8.014559009641802 7.406476016402889 4.295715574471542 15.14322615547713 6.765210723699098 3.587740500852731 4.544415314869733 3.6265011666462366 6.816766199452898 8.879422473796321 10.0878261156199 10.28754282023873 9.347349279626012 10.133099402042701 4.275114250131611 4.654115086924213 4.652525167751516 3.3308745995789226 13.152014246199363 6.14270053414824 6.116826678175147 17.162441204848733 6.966335398492433 4.33162255743955 9.974239239006058 8.1716627050127 3.026788719362928 4.997634877886374 10.162196922804778 4.525144415710487 5.8143373340130555 3.5161000110737675 11.40555858940921 8.485763326946865 12.081100402372627 15.048522287282594 3.5783873501075085 2.664662188101222 5.497863605360417 14.114199084073439 4.015808483686774 6.86456278960203 7.106941022941787 11.156263274469305 12.46371369469237 11.360395954221824 4.677719317304504 4.105298668728495 6.75212535932532 13.923220473166971 10.164920189504864 13.495438887906205 1.8233070600000247 9.929598346481438 10.857699482232219 8.985146693328126 9.26126753886979 3.5305810944356 14.555357964652003 2.116085809433531 10.97552039660478 8.327188982666025 4.193697118309357 7.866603658933094 6.702467101719768 8.260258813925187 4.304670568236377 8.710819405753263 8.297073428459854 7.298646571864095 9.870390687157043 9.805191100440009 12.686331738236738 6.782568867204989 12.119517764177042 6.037436131163403 4.581914227666018 3.627598174238415 10.664097449208692 7.127504793805251 9.897803653680626 4.462594521784243 8.559237234819054 5.4051418636594395 8.263717805875627 0.3858150630038033 8.158068481259528 7.069937960784994 7.569303175243732 6.197802254819876 3.695654800355648 7.93532858128464 8.331062748574615 3.186419714037917 9.20820939825932 3.3656695219399424
100 9.578443841531776 9.024293697689334 7.638798389732974 14.223598372170516 9.44846753512077 8.319818738656096 5.820360308575932 14.178941993314549 7.929055803790668 6.329441673116291 3.096640129870263 5.028859263909934 8.266920706403617 11.203621757566431 11.491510765795953 10.832657332066152 10.409888037804706 9.632289668897377 4.589086552829598 3.60862291530603 7.229812252822046 4.6928199150828 12.288910565008097 7.213477563177565 8.311871569007307 18.60479143987326 6.446788005308931 0.9066546860685953 10.910755784483227 7.506948983111779 4.592531502497561 6.840175517292025 12.09996167594659 7.49117897011315 7.9856359692967365 6.487359745065941 13.612024882920387 10.971054564566842 12.511173140441938 13.774022089525921 7.584752282425432 3.484030861332152 7.634258781418005 13.685317618706426 5.954895696695867 4.264936124553035 7.1292982373364975 11.4263322141668 13.475118888888305 13.160443850610118 3.949992692434635 5.631827621089603 8.855551057689608 17.223111475243734 11.53229515848116 13.302617496416898 1.0131067538482499 12.829057610498772 12.20655022703179 9.391976169214164 7.5913452153767444 3.033568881753713 15.75344129975973 3.3488540880472093 8.910102500032403 9.632067701114545 2.9367629079033364 10.207403933520448 7.575320866680091 8.194876177605938 6.274032906354787 9.715812462893497 10.530106537566073 7.9137366621801215 10.440016626697162 9.913179226356451 13.458626454299447 9.606870950416187 11.820984705915004 7.538503933953918 4.223899164204061 1.7063473208957745 11.33827629778271 8.266679510921591 10.244598586976872 3.3235848782944313 9.491536239725862 6.348905406149602 7.565908509235092 -0.3737239799111227 8.477135303494013 8.50222294746137 8.659315482896023 5.774303909653063 4.556787858446475 9.589573160521526 7.381277346821744 4.017616386601235 11.445374026331832 2.462924974067415
100 11.521568320756106 11.691614929747168 7.878265810791247 14.076763220508253 11.206137632651798 8.58464977350947 3.336102484385765 14.28942250433181 9.125100745779259 7.798880928857245 2.727495602794266 5.356636650400214 10.023610552949519 11.432751633257991 9.886135575318999 12.81809777441512 10.570825309890173 11.51251485633909 3.551781487386756 4.165383862075788 8.400447610113654 5.269597603728836 11.106113953071226 4.756881547293073 10.859337045115517 19.009796461661395 8.64993281950785 2.8931433279034042 12.053334845979276 7.590477616602164 5.8908964399790875 9.207365540735196 12.59534309249596 10.50601774120831 6.484981971532653 4.939782866129832 15.198279506986 10.356002303685163 15.615317896970724 15.957238612520165 10.223818157666512 5.310068783425928 6.862226302935614 11.824031793685363 8.475524818298926 2.990237530987871 9.725840275288318 12.669418685141531 13.727263969018843 14.047882975689907 5.258415804710966 5.946929586973642 11.107141127017343 19.12716771310077 12.107556936459622 12.922079466730414 3.5614824210018816 10.57488586167036 13.100856957600108 10.75607145652349 7.009782569056095 5.011021402363759 16.030578004302434 3.331424012357005 10.703144136736773 8.628944170577956 4.878185762978231 8.08741709638435 8.48941372093864 8.773728068284145 6.144132802949036 10.704745529502182 10.820912368510283 9.75078273277849 11.518953985685682 10.959551044542609 14.219672074944368 9.463798382923173 11.784981578959993 8.43103842371053 4.774462434372039 3.9762318903274982 11.820664894991193 9.340317832142311 8.879049823943523 5.378956332833724 9.213217574783073 5.528949629311385 10.179108292428259 1.5331839992512464 10.358535259255033 9.593265007581 9.01968368275169 6.126876584853086 6.191482613884703 11.472474484652892 7.890111349075233 7.398842396575949 11.568433357813877 1.420014745462325
100 9.6710535473357 9.982510155097323 7.905903960626498 14.10900674930491 12.461253598746275 9.08829614588945 5.1809858793878405 14.60343878236773 9.72324847695096 7.53108795438451 5.442199747763001 4.091094123856468 10.86182751656347 11.521030712422347 11.397619663481033 13.106041853151192 11.054174058050151 11.579015046496153 6.261986869852523 4.921601165726687 11.459174679741377 6.349441505447203 11.579745548528164 5.3931660220122 12.088967096599493 18.31542960418022 9.482310012871991 3.65865512192913 12.82132643052484 8.589104171713268 7.073380925342647 9.767501654590589 15.034248933446849 11.50192406725662 10.435659275004653 5.671156885710642 16.697585113276975 9.932855871050135 17.77498579110952 15.421564421062119 11.316867233470106 5.616559244505434 7.952727930541181 11.932321348854876 7.957313473707077 3.4361672245063684 12.189721906034745 13.62362723630463 12.423296408515835 15.770540240763328 4.804601553241923 7.529738071234897 12.152058165729136 19.940045104927375 14.896197214286431 12.299715486285024 5.161213804576023 12.73157018738688 12.567721982323636 10.160311944892266 7.205766519917216 6.114597213599905 14.523763551786073 4.805087255279545 9.376140881747268 10.804973679428363 6.338438991030288 11.176691998759601 9.907367261302282 8.919589089025077 5.736747065373231 11.49437719094093 11.198197470968525 11.712688787616736 10.642595096910554 14.036187731871692 16.25689170861295 9.720450821529486 14.5132019585054 7.99224336148046 5.862731514684879 3.108016714755438 14.592093271918696 7.785618598848329 7.573026868247108 5.3599957162540885 11.467093795492968 7.395058862127236 10.727929644135497 3.85778807376873 10.784940308305774 10.635962856420251 11.675449458235635 6.571467990186957 5.795273140670703 12.441226059423675 9.480527885278585 8.128858154899598 13.281546821216741 2.0494412557585004
100 10.374763084326018 11.10956133643006 8.915447002580892 16.58080092393939 13.287526394007035 9.275265780626883 6.6101264612324275 16.18592611292289 11.351413130344724 9.024547076012132 4.321626793860108 1.7376163959763509 12.977107233914257 12.452379992341788 11.84506934035133 14.347968327142484 14.065368877142996 13.878613409503819 8.377919759157203 4.576321688537912 10.869600446459769 4.006263457472052 12.879365724096283 7.729689962133138 14.128131615371444 19.310968090340115 9.961140535546162 3.7341284622686297 12.095402251782113 8.934728950877188 6.481317813454826 12.511889646610033 13.657838861350793 11.694628313998907 8.336998212749036 6.767980305959029 16.897345982453473 10.079070708139707 16.825964117993088 15.882237765118678 11.113314256176468 6.154769531800251 11.004571960396216 12.61631747171402 9.250741405452851 3.7085387536084036 11.55350735321689 13.9324306654955 16.16846325771833 15.639312141180818 6.094069908626957 7.061068998618908 8.88028349214672 18.88197433076346 18.26636950960363 13.620440101676506 8.115051740785434 12.74682107520218 9.87474260904367 9.172788980703215 8.352876278735526 7.131189508723443 14.960948540634455 4.888225644789317 11.238280198358668 10.591818669873343 7.551826305216495 11.940435489522464 9.969039004001955 8.376877070484309 5.914579840792965 14.426876239755874 13.093315402015753 13.405219435404335 10.041009757027053 12.505557547730909 17.999252079386462 11.47010071180043 14.983207335703824 8.187436056883284 4.825455860124515 5.174875465664825 16.400560056066148 7.649312248879408 7.291624397472307 7.883049590006197 11.112269205576208 10.310028708081807 10.99590054945632 4.355257854842085 11.469978519663522 10.632600862303232 13.567468913618582 8.561169632050618 7.9078250754410195 13.030810960853687 9.508195364900804 8.738132219715803 13.095137998950573 4.9259247130348935
100 12.169529234587008 11.560242911302597 8.282951278345198 18.819629184242178 13.761303238683498 9.66915279895448 9.279166244788879 15.70463343884824 11.461322547785443 9.194633653759428 3.4847160885749475 3.1480723710300835 12.322624128191089 12.015627812684022 11.373463662945007 13.852052577361139 13.310624264547926 14.531134412933902 8.913577132357025 5.45248263369739 14.349516764511755 4.677783882555383 14.064615926582912 9.41991611303304 14.421053091048703 19.72898961587444 10.63103296466303 4.7900951011950434 11.713779772726905 8.823215896268968 7.203958670412668 10.255252634423268 15.98869480354414 14.935400207145186 9.083504578665098 8.274492678033047 18.491732793235347 8.94987243014797 18.3434060443984 15.753561804398293 14.598777953777233 6.586276420188162 12.520334608807566 12.800703116312642 12.62834202602953 3.8906404751125017 13.48008689231643 15.063971629428245 16.97499816975628 16.182821281814846 5.964629598634087 4.323411321325547 10.758519099429847 18.272643299931165 19.876434197347148 14.544916772964593 10.324463129549029 14.248628625492785 7.18089403882831 10.472210583759836 8.465692448878341 9.287873785908904 16.149844449596447 6.428298792654848 11.414843397373215 9.848819826823263 7.724569197189089 10.061498386882151 9.730755842849504 7.096476950089174 4.758126923912648 14.909614872779542 14.127628373983882 13.63319891248369 9.83937952882522 11.689554739093618 17.805170024609943 10.871712153841184 15.163357518200483 6.865513316006936 6.645679118454316 5.251367222777551 17.054745016689814 9.545177633263465 8.432166207272317 9.681868048804143 8.917034394761997 10.105369632306395 12.818964959536663 5.975229818644779 14.45294586090198 13.340127256762752 14.276482439723388 8.95183511014561 7.235478312522741 12.724892769027571 9.587450214338103 8.545693823455856 12.272740431491355 6.248213763318949
100 14.802808757734821 13.363696590619357 8.519589603825242 20.262518108543524 14.504764381488682 10.20267078939826 9.697860851935868 15.669326793295753 12.86892796190987 9.875001906615756 3.5330493991139904 3.1381646291996264 13.122664399285961 12.928593914045765 11.474538353831122 12.698585936697402 15.344306302394878 16.20165596442434 7.097352506668312 8.02351728831525 14.329578345391194 5.831199638631519 15.906836386264875 12.287699043069534 16.113135153876993 20.085155641178808 9.499495793024503 2.952248361931921 13.289775428080775 11.148954624836371 6.861038299367552 10.368093416666467 15.54610952751863 14.454618950472993 11.005658720016365 9.16470979834112 18.30543999573396 13.112049161244526 16.726450269037933 16.934027955784124 13.58123752027393 7.088288481516506 12.987908057346308 14.33847295188266 12.656781814873566 4.320863334176529 13.450834486427436 13.936998621418912 18.05402441141267 16.782886458894122 7.3361969033754235 5.068053039630668 10.91943206630662 19.864740384637717 21.207882797985633 16.835961007022398 11.382514650062813 16.41667992874924 7.349154668037015 10.676540591060698 10.61833662120278 10.953597555631607 16.157852557691108 5.7967867235222 11.71348001264509 9.481617900405736 10.752303822483045 11.657846057983882 9.321597155754668 6.4868112531150235 4.584887499873551 14.513558956013418 14.218644570996881 15.360270184477097 9.078176470039766 15.16329116538423 16.82639749488019 9.583990992430097 17.631006016952984 9.370166942282614 7.285738743358084 6.623146323100785 17.723780870795537 10.415929187705185 7.453300031770874 7.172904457940048 8.47859439520696 12.950189981921447 15.545811273997739 6.577152332554121 13.661401990932706 14.076167902293975 15.151649511892336 10.487275153268147 4.610289333094913 17.186130334900998 11.715158522483625 8.92604048438493 11.788612198002498 8.320670035231899
100 15.720865762499672 13.968337939419829 9.757049270931782 20.156531019983976 15.276533626404673 11.701966694584803 10.672224019330244 16.27406738172482 15.158565505293662 8.257648637148488 3.487696258279154 4.172693520974955 12.529376648618841 12.71609647678024 13.650570197792515 12.890056468245117 13.255086497716842 15.874174448284366 8.045595143220142 8.754479704774681 15.30517306178701 7.286641583945919 15.981396348743267 11.288800506123753 15.829243599796996 19.297605352661563 9.851176161724837 4.753595335315888 14.157464408269913 12.665479442472213 7.097405905703685 12.785678044980532 16.728272659928287 14.906652084802975 12.202468529926655 8.840358900388791 15.686483443126738 12.787939170845073 18.039961151418265 17.43747230967208 13.808543937747853 6.6631323988642075 10.692289147582038 16.540757109485337 12.752626298738361 4.6441404910433235 12.912763699074977 15.910316275047503 19.39381523027648 15.724723787800672 9.575608343758361 5.670660773182542 10.527772744354609 19.45410340462041 20.115179729324737 15.436937502082124 12.90321384772714 16.41285208135383 8.85048674865872 11.50318689960574 11.804741729715793 8.765753424648237 15.415969003047183 7.30194218073391 10.602272856008325 10.510812848374261 9.55348501408786 12.1941988345461 12.024615514752576 8.277687646425248 3.027097373574408 15.96973356333338 16.889802804096682 19.17380999164773 10.235089069798802 13.68429251623413 17.695855671187246 12.277556069220353 17.516775026279603 11.366909517901819 7.033585953032672 7.902857356632294 14.588779060157023 9.8224077964284 8.20850002586137 7.563837654586957 7.472648945458727 12.618500456886544 16.13018361911361 7.371768496456594 14.24026660549906 15.359128722259525 14.95888576285688 12.918854612681288 4.136690462186856 19.78866870462211 13.693308081944748 9.078294298279324 11.890325682052051 9.257234035449084
100 16.72092814727109 15.843357871648458 8.586967675955826 20.7721840394712 12.730590201729406 11.941754148155455 13.036206244987952 14.623550128296793 13.427030538373689 9.100798944923174 6.291354171703537 5.540622480295185 10.445608965072289 10.844479213232562 14.154942054275297 11.733078245577214 13.845460655247685 16.372232140051917 8.230873993365918 11.753955602085899 16.26978631127549 9.619827395788219 17.43022182745247 11.707285124746344 15.884267071527178 18.978997208600816 11.442299735405406 4.710425985408623 16.693433631800787 12.054808900206357 8.10210051588856 12.805529056418303 16.382178723102772 18.012042987269034 11.976340651895772 9.020397327207727 15.099567544463017 13.32741944585591 18.175041258491845 16.354319367703248 13.65097020873866 8.161377513391148 12.410110813703186 16.794904304760212 13.191826438140318 5.0424376810140075 12.628008435484348 14.943637695034141 17.486816294049575 15.073850604570096 11.349233560768075 5.879178039734943 10.5051380178265 18.97391886440378 21.722460762137977 14.63182908682939 13.688874775741894 16.608714279161568 9.55367687485798 12.228195243294726 12.285484935680877 10.399329875197958 15.808397567297238 10.25067722820885 11.274240341186678 8.783238927451384 11.065933131153761 13.190322229153633 12.522023337254232 8.623578299280956 1.2221475846485643 13.708798546925092 19.179069190659966 18.367736830292845 11.964926645815066 11.983323490277723 16.59007539477949 13.62418045371641 17.519905229320255 12.593172955405533 7.87457237941132 8.35797019995965 13.990310886092056 8.950401712732248 10.755138946723594 10.446487884705151 6.869861900503615 11.522230904825014 15.800535801084383 8.679497140613348 14.472397009568006 16.26659945133452 15.160889900881738 13.295745841419029 8.118343761955447 19.050168060564097 16.243520588782303 11.568731179784939 13.020144520075247 7.369896518374785
100 16.91679562261448 15.500341599829898 9.223902562297555 19.400735535754666 14.05153065284955 13.656849427894038 14.876805184762917 14.402046027146588 12.477374766899116 10.040712731957987 9.370462785158109 6.454655631466004 11.523480719967605 10.944935619171824 13.831715965814466 13.011592492277217 14.067765315429666 17.10076414434445 9.66330684558812 12.648358527656775 17.128858698915316 9.102957145408686 16.40128712027768 12.213034354324389 16.150285476118377 18.382811580191493 12.339089318110261 6.657799499380003 18.375255668629734 14.26676216992906 7.028289985488223 11.59512535940032 16.253512172964232 18.211194467836396 12.007320873178344 8.840793112078664 14.999919692255519 14.388722672928283 16.693132207886496 19.81535742030772 14.062481418317006 10.11611312267061 11.924879420689992 17.73976228073054 13.642772040589179 6.960544560781589 12.736610865117674 17.232519228809235 15.76463902476377 16.594220489434502 11.974630557857365 5.267950915093599 13.45103059032509 21.399197740161874 18.926444678780197 15.289307557266481 14.96773642776781 17.443372537141403 12.070384132130947 14.275722327480175 12.990578650924453 13.842526344303812 17.414469928624197 10.27811908074782 11.103742385939766 10.95980845807465 10.601016777714138 13.065442102890689 12.61636434763924 9.717581926656216 1.970651712798508 12.380026264983576 20.70257237261476 17.84419276463254 14.946389247344952 12.8382199673123 18.542172991517866 14.811564611092928 19.35922196217627 13.768515712198413 8.951392238286816 10.444510285707162 17.527513203218504 9.296270392762638 12.335342023025571 11.083962134338137 8.273464067599566 11.9611560729186 13.130512578816603 9.170467009406035 16.205161018041682 15.46707255029564 16.600272146264015 14.014401501855087 8.45191922556269 20.215828825261983 17.38506170951092 12.557147414630721 14.729800202096504 8.326616089849153
100 14.929595672559518 15.369048198171713 7.478533334062829 20.34600857748945 15.492218113464956 15.234772773836735 15.73897233923284 15.960568375288476 10.929301865175493 10.349921892027083 8.182731503791722 6.795341305004038 14.07309258481558 12.783837358135026 15.057223441342524 13.142235607436005 13.139037063131493 17.514328731671128 11.830140128438451 13.591042914328414 15.157144187617785 9.886874274410005 14.1401032382682 13.814640549568443 15.53668029572709 16.913903238777422 13.959107483947678 8.071725067768838 18.723541603560296 17.379613677225688 8.579419478458 11.14177477162384 17.194640373258327 17.9266093931927 14.008082597833218 9.778824157279931 15.80861849724645 12.90372368989981 17.116501797002897 19.97347476490404 13.108009630902808 10.32865165018351 12.800090979815478 17.885944089255077 12.115597930368063 7.333002715324581 12.504684431820213 17.63453703115185 16.203057726546707 16.269271170258115 11.84394840407269 6.13456966363666 14.95740322144932 21.643175481688466 20.834860156406595 17.17047484364508 17.21622858706723 19.44579031746728 14.526044264481289 13.020193578405934 14.167238512674471 15.729908207034876 19.544795969688398 9.779969443034455 12.539674903280432 11.515502894098057 13.619842733193057 11.694780569540798 12.034261721007347 7.9592494421440305 3.158652885941515 15.800362209817028 20.569596941554213 18.008282368269576 15.859177083252412 13.117016192154095 19.222374044395284 15.635584934531778 18.28832202464919 14.030642604856654 10.65791911922258 12.224520790914312 19.328399642759468 10.439160954283215 13.276497855652764 12.69445928200351 8.19677310176837 11.509948203561372 13.264633707667116 8.268308153173692 17.085486122519725 17.081171511048318 15.846127000906714 15.039137189706597 8.222525297228385 18.814005671325287 20.258201425800856 11.65765659699495 13.373094640894863 9.272926524159928
100 15.565024923794102 16.631690752879283 10.83424053939709 19.374061077510504 14.946257324848602 17.607528473746484 17.1490749912278 17.2257310824386 10.79805858143649 12.276647532231404 10.001223385290999 7.886868642502939 13.635042453246164 13.256265552973927 17.51523489178559 12.105904694254388 12.547289948155834 16.855412564283988 11.937229192073167 13.951932802980275 16.62294143549087 11.133748545256562 14.6035521469423 14.672058025424628 16.694893034616783 14.949699380222985 15.848922725538355 7.646719262808841 18.174794129749774 17.910724104397985 9.163927471188954 12.216840556115395 17.60609783683499 17.662077630236293 16.250617549346906 11.255960662702167 16.48898290838674 14.315930553969368 16.542238007875483 23.03923444403904 12.15878830028105 11.000153910154005 12.704673325528628 17.618180501632512 11.952051394146268 7.088187436282123 14.468512296720233 16.204909828066675 17.80581066169498 17.358452881567057 11.845960983611793 7.609884965695014 14.931339432059508 20.069568414542182 19.360712883979 18.343236405059397 18.185554532831844 19.874961562825447 14.318813495678603 13.112803794615198 14.030328004294452 13.666965402397947 19.825938007669148 11.031528330449358 13.162293998430988 14.272597286043158 12.78865514303217 11.386039164128613 12.692617888227161 9.025844042648103 1.6870816734073606 16.88277485380071 20.819796792530656 15.277988806531615 15.862519760413305 12.51039585218941 18.810065858134692 14.182005694287328 18.926767942347954 16.717504905037977 11.692868661674328 9.921424923329578 19.7082669803062 10.873993544185451 12.300517986856404 13.735905840680772 10.093521592180064 11.072313115171292 11.437769869783658 6.521038638954725 16.542499479804686 17.04696151858622 15.403943991798268 14.57993160548638 9.607338504890542 19.41710848867041 20.55382788104945 13.20872776880426 12.933916093032824 8.507567795915085
100 15.11182053608044 16.15262002023631 8.665947515506152 18.755575305198292 16.602475250991855 18.770355944515156 17.924353498148157 17.53047139402784 13.271165218044468 11.21213513366266 9.35190244309598 10.059848964819501 13.99120487603268 12.662278272262466 18.38040490605487 11.948558331554898 11.90263261356236 15.912166968528426 12.936234139234987 14.548035229511633 18.711912303700217 11.277733719788529 14.529681240942551 16.94989303548719 18.22768435538747 15.453857435487802 14.166271917539266 7.210256503357949 16.861368514838325 18.008778156977193 9.094625690230565 14.643852077233895 15.747610100036946 16.269680445225397 16.67385581675528 12.358974503090128 13.350116167315509 12.447811249289796 16.54622701974059 24.844972843456112 15.092781852560012 10.903042458838716 12.741894544369245 16.686588323025678 13.1755889480953 9.783789508661725 16.37254786640483 16.374065362556735 16.92073755908095 17.53207772339604 14.09614077528309 7.721669414249481 12.736876892541344 19.561367347248673 19.03058619445207 16.202048722022152 18.60081187629179 20.61309200684981 17.024853388482533 11.686913665245353 15.25002663831019 15.232541843040234 20.6698751875187 10.175143388631808 12.231896915476913 14.65972944105402 13.388221297986453 11.18074041057505 14.778565224711992 9.130302551491036 0.2252707060526129 16.80322877747785 21.36333093220476 15.901714714173284 16.43881445754395 14.894346745432651 17.546544766023597 13.976282132224222 20.98796780586045 14.36921205193419 12.196030531835586 12.112537076637539 21.272602147007536 12.337136623138989 13.664444990527906 12.85564424682316 12.45961966092558 9.932345452779874 10.34371890969976 7.920100413253383 16.227910134214827 17.47141749153974 16.198621313242402 17.3106744793929 10.683931516687778 18.57978380673357 21.449440321830895 12.48699349336392 14.525298944732082 9.237567019910118
100 15.864861204625297 14.130335983062139 6.314444185345817 16.920150168052842 18.987379966223244 17.32862132005282 18.920778128623493 16.803201076046523 13.372434048702061 11.499724829886448 12.081349879424604 11.361318671197985 14.768462029195813 14.636402488470651 17.647790530712488 13.72650236463644 13.518210264125536 17.286556138102554 13.218030831811504 14.251188137715333 17.57889784514804 10.701634793786456 13.641752737538045 17.68134895923038 18.081874149768495 16.279431757041642 15.209323451192304 6.42677388024098 15.566578892681731 17.75309087449849 8.636476962010754 13.687783277854821 18.220351282291126 14.458179314526406 19.37856653102949 13.068530813343068 15.005172264486838 14.033311593445196 17.667956960642805 26.949500278879064 13.973427770208792 11.112494288589803 11.870276763473317 14.675171103555824 12.620759810598457 12.729436381269037 16.29668184479548 19.13457388393584 19.86826475639785 21.566951765510343 16.874369360630677 11.364934059314159 13.428362833815829 19.847965098948237 19.46141065533851 16.524282385409297 18.87826266515203 21.626042781015208 16.542209387270937 10.253898821360963 15.907439009400424 14.534007387831881 20.014641363976217 10.452324856141441 12.216213172716124 16.322958753919924 13.58484918668737 13.181818043105855 15.311548929553364 9.586816462884551 1.4309573382254452 15.32368529859615 21.699530678194368 17.13803573492217 17.827317199262048 13.418181652379408 15.810001536353333 13.607728442696828 22.72767020025943 14.973670871401275 11.691041502114029 10.655594538911986 20.287936512970937 11.841058468531548 15.245000750352157 14.654993279602193 11.505801362571962 11.359361691471523 11.605993306764809 7.138284420136674 16.436691148853516 18.035772185399487 16.585384614207847 15.329484452736645 11.270718708602493 19.420512914545103 23.47051306279264 11.987476307396657 14.105164902411408 9.523545667923358
100 16.44908389165385 14.683072590799588 7.846322252509986 15.685348819416763 19.49194056892775 16.499441430900355 18.725650264626402 19.179171570211892 11.99043605979798 11.489437926737741 10.903116543441389 12.065320538066487 16.382840441046746 15.053576671289832 17.634111781854465 15.768653650547963 14.330769979040562 18.50674309574142 14.648168654770801 10.818978490798877 17.540779734126136 9.838094925543158 12.938644215455014 19.828903330446476 17.764160816770826 18.97594511800741 13.75708213448795 5.696857112200526 16.760918473483684 17.368139091399467 9.648762484532956 13.797037311265035 18.18204877042563 14.359149733173199 19.539065145109028 14.219359639619269 17.408834201672363 14.16830272868418 17.434353580799392 26.09186524978849 16.254694907334816 12.438925795421694 9.703944298576289 12.469292080161015 11.898524022922011 13.408502875197113 16.417276210470025 19.842300785624406 19.72583706107033 23.306679892425077 18.0428864315898 11.877161380937828 15.165334024449471 17.677286302109454 19.377265545211156 17.02893649713227 19.733779932628494 19.376658561975063 16.362204794935447 11.237629037764382 16.68792238043125 16.331267130097736 21.159942999725757 10.851832016032603 13.594520767532629 16.20246955491667 14.206080530400357 14.628126518720634 15.505782839471443 10.642135989607391 3.680658738337562 16.54616190228131 23.173738714885214 20.2366230914627 18.769984868456323 13.202644709641502 16.82771832052819 14.589713447954727 23.36257863729444 17.22185156825546 10.066481684442756 13.167082136923147 22.647076458847078 13.12121502664349 16.314609124426646 14.755211314751563 12.006882509948154 12.664537895035032 12.802986936216273 8.922259529813363 17.578944313441305 19.301369102831636 17.77263459692146 14.368666517806126 12.764124243800689 21.80373364812792 23.28722376269309 14.360076782883755 13.245011802484399 10.064156870853582
100 15.813359623285399 16.92898697659313 10.73472441895185 15.897315859934295 20.968701321355617 18.85429827836686 18.685397821031636 19.372420850047707 13.5325699374263 10.799168162237343 11.670859460159772 15.383893947612405 15.916734362751214 16.361800388018203 18.474072168278262 15.784810139492748 15.0049872726043 20.88352326440685 15.84845572555907 12.315171195648986 19.694868457127953 10.133886480269704 12.052654559610364 22.25304753234141 18.156370102889497 20.233823273825077 13.292634868028212 7.026718539805235 15.490542411501238 17.54327534418454 9.442899513717585 12.941400694605992 17.958898753314326 11.723741392370552 17.937378792157187 15.524858124371258 18.054665976652583 13.219313107398996 18.480268911556454 24.80124679106606 17.47020713723998 12.694247125777311 9.767729670938184 12.860262426941826 15.681341527997045 12.813287096632301 16.891979411167426 20.856442614690817 18.582013820897977 21.033569759666985 17.374652213173473 13.302557502202246 14.892539596770774 17.486138777594956 20.59700522739898 16.321350724298334 19.646557689591337 17.531556880901665 16.972357072634004 12.002880484459382 17.855130314890186 15.018663685803244 21.014384636698825 9.712208965264821 13.759160455205857 18.298415544078996 14.241966654416284 13.232070340012442 14.899322479794975 9.149450338121419 2.996153995888177 17.67922211152328 21.05015256626252 20.524348169931244 18.77556694617717 12.965605901164896 17.461071374730775 13.733970001176473 24.228317824511294 16.517635928006648 10.316159242273677 12.970305630480281 23.337725054633886 14.366676187704417 13.18068918377099 15.553868881438877 10.271059479213749 12.59214167742543 13.012655835305077 9.319500209534269 18.531391884544956 20.26754701945536 16.878921720579044 13.802816500091858 13.092116372989365 19.605075873954995 22.5087039626816 16.444029847082852 11.723094575235244 10.25061134099139
100 15.27212579588774 19.830524828240335 10.580440057620335 15.586913583299 19.493595457435106 18.92081230541438 19.04154134492704 18.232421972155 15.28593456163031 11.582150589923707 13.328944457629087 15.262231869817477 16.4378481881107 16.19363184737367 20.46933268862231 16.154298833078016 15.34433222760423 20.234868933961582 15.563637675445815 13.080709555241755 20.696849259861477 9.8691951623391 12.726929269435344 22.46237345723126 18.80359245855272 18.028323880213772 12.623501634811724 5.958615056169361 15.760981552794954 16.449531490914676 9.419997595583222 11.715031185646476 17.612173120016912 10.756900366452367 18.93198166048322 16.343171943165785 18.395630920988417 13.314031563506774 16.086063310137185 24.142849935705915 16.670284343932334 13.388358482345172 11.03523128813629 13.745848170607221 17.525229754972326 12.485975156706868 16.242423669669307 22.141331245187587 18.97167441269832 20.661123286297144 19.924896253287123 14.384890433273725 14.82624993522149 16.71090312028722 22.280182890290806 16.96047706471289 19.710795897010723 18.64262932682816 18.26372655254725 13.117441775523616 19.059411466504116 15.855474307019318 21.844246513898785 9.33188419374989 16.56647099750844 16.727310404531774 15.075609379616463 11.94425372579629 15.074928700243468 9.075239546791826 4.172636628635356 18.30308610002807 19.705286268757902 20.35500771197704 20.560296074713275 11.709047039265895 16.63507403803537 15.253754027430714 24.057817952045102 16.952732535345344 12.349783594560792 12.390877260549773 22.422880157212944 13.969034407924804 13.184712327659787 17.694106297790835 8.676715872460054 11.39972561222083 11.559737921453987 11.935796709939961 17.96231725875492 19.811859472500714 14.942281746860012 13.962999279175635 14.557160338938093 19.886359894548715 22.264944618099637 14.598068108953168 11.808763333377764 11.032025598886072
100 14.265620967146523 20.80597886406175 12.329074936953631 15.25836461738001 20.389948953344785 18.83237834683515 20.51435334367166 20.965414430237498 14.251883910433744 12.994624773699911 15.508554038864968 14.337338442830472 15.876471428142152 15.559979107259919 20.27163956559741 15.901849747565805 15.417632021870363 21.310467754883017 13.534353151521342 12.255891872738857 21.43238068325253 11.27982917674288 11.85556507393487 23.14355015276353 20.68089870410495 18.127222012304248 11.932724005897285 7.930449064674341 18.22845862494664 15.454192923515217 10.14364521152915 13.565941869557603 17.976715651788396 9.08331355767556 19.452066389026594 15.226740581544039 16.878034381351835 11.58715392789496 18.06826334882451 23.034032283758666 17.36192879810747 14.49658099992035 11.659127686575552 14.572236558162334 18.115272665611727 13.131180267986002 15.451987597045397 20.881988756563285 18.996394814311834 20.466597477347925 20.47425654211194 16.102072911290847 15.473422680527895 15.83416293079765 19.287757365300756 16.317281116227655 17.993577865698473 17.869087472101672 18.651281393147904 13.583858945228501 21.454071459419417 16.697269187834213 24.38777960394025 10.902606002748154 18.279941237579592 16.400886004564803 14.08842802983952 11.931926841758624 15.374762606253181 8.984572367044269 3.871151476823249 18.9970041182055 18.37845411192152 18.231374891888006 18.953240493695265 11.97297718621425 15.70863762328877 15.28804571123077 24.557144976067985 17.92779439574333 12.114904068553976 11.222879701607352 21.47711652492908 15.320108732201254 14.832961925456578 18.440145276736363 11.010576682745278 14.11566375675333 11.37635953198307 14.550107424652959 17.909287200850205 21.13464234432219 16.16788190595148 11.92279157937241 13.568402337593733 18.228607127614552 19.852890415398786 16.06762655471635 15.04467462928561 11.281681227575632
100 15.719191052140628 22.793789893642245 13.071692967952956 15.598578834816939 19.965587285675465 19.59015076102608 21.53694945542649 21.473720489441476 15.255333309758178 13.239618513586505 13.768667532810854 15.895249746130506 14.425807901511568 16.532755294909606 21.242454614885837 14.642477796657069 14.947229644996165 23.98446717757284 13.990534652548178 11.15613906472051 22.29267572206778 10.861386832576521 9.910699384174677 23.72914452136691 19.515788269277156 18.69771670627931 11.52878715904573 9.538675468843158 18.52852546000491 12.306924498499216 11.252241605503654 13.49328906667374 20.004929186123952 10.292728357373527 20.345783190960805 14.529054785801387 16.08197264160906 12.175792004139797 17.895809948020478 24.82279654888076 17.370552334505216 13.180338584770759 10.947806405311663 16.204858361239275 17.952028735822623 13.25851147175741 17.075838112299365 19.623085714061144 16.24706294340792 19.34069314435198 20.744431281519567 15.944721936723317 13.598650483828752 17.38633523150516 19.54234692873446 17.214489600701192 18.681487258314228 16.404108299852112 19.090818690867543 15.082689718851189 22.75917473120836 17.78938165885588 24.94876040086784 9.169536880535546 18.444461507169763 15.316088418968867 16.221458603946218 13.962273696965378 14.428492405716375 9.642349214593631 5.1942137533824875 20.27164112096602 16.267573654523034 15.370342642932867 18.962607451986234 9.22223152753499 16.330041406005453 16.379951705403453 25.855664867346828 17.278413755701933 12.951690746312748 12.663018319605612 19.817029030967255 16.910520154242455 15.564300110620792 17.885845837340792 11.798367687581846 14.21549711558594 12.838498718790925 14.578713495046335 18.488022625439164 20.23788739050732 15.166912195247392 12.79883638905882 12.729385426614948 19.309174485733223 20.687163605758872 15.296794414463166 15.64650518550027 10.837823029739347
100 13.905122670130828 21.93822642969785 13.469582177907442 16.660527665880924 20.075401896522116 20.780359569433898 20.062790287882336 20.846819926952936 17.81130098435591 11.052754865279985 13.668142083677736 14.818606073294204 14.515892289806478 16.08172628718229 21.942940504583667 15.309253590093936 13.63369014261083 22.93636071097634 14.570248611714451 12.728797223075242 25.195874598085197 12.446606129561982 9.337955168587737 23.466532129463577 19.863555036695928 18.149077623715424 12.883499735534581 7.224811248558522 19.29346859675309 12.152596150240448 11.700184759326941 15.736755896748322 18.42377396943128 11.322195529408102 21.21608244736383 15.047935579401553 14.293499789175055 14.570078824287249 17.95785281034991 24.06284025107541 17.193960009739616 13.080068193248293 9.850643088805167 16.716198208541456 17.24665262114762 14.575074583350421 17.901238432314564 21.75035005296175 16.34018583044019 18.35834572206433 18.765641101287983 18.990193251858003 14.762106336411826 16.628183360889476 21.77123413550555 19.341813044245487 17.031448955453723 15.773828220980782 18.937435244923524 13.93357044613188 22.345985998635253 18.805785949826483 23.00717458561259 10.250041082196235 20.153093787442486 16.087912986004866 16.480716843779923 13.562273667664181 15.893255181886033 8.850796835372146 6.509843107806147 20.32690132032813 17.955951926481898 14.830359014611503 18.270839619470653 8.396232699450039 17.308611769292504 16.103312677254397 24.304292722485272 16.503212032801002 14.276684314874247 11.775383789740804 18.47344341269243 18.4002469907396 15.706153458309858 19.422497426817763 11.936013571979704 14.514486665202963 13.427432178232309 16.924480892113984 20.45458317094787 21.703324336189567 14.660094763962705 12.168149041111404 14.136303122621895 21.06511513153421 22.209517022834245 15.614034362564135 16.90415559508357 12.448172873133112
100 14.542082088193387 22.16859294208 14.077282549529382 15.97608171977388 19.081538971342606 19.785548932572517 17.881098258538575 20.930665076552533 18.01815818031048 12.573553052989933 15.852738391526014 16.974596482672684 16.732690944170628 15.258800271737321 19.93508582681199 16.835893011625924 15.958102218408628 24.729071901699854 15.795102718695869 10.683764694129524 25.154792504367045 13.784748056119936 11.831868271342007 25.190576980787448 21.142770926656215 17.568767761437456 12.259219654199544 8.807469046439564 18.253427358624158 14.595861096868436 10.100849950026221 16.669417429155406 19.029210975916833 11.717134877831294 19.7659317069101 12.654977513664335 14.086391265204602 14.417856334066101 19.770063704906967 23.023384072546623 18.04720220724831 11.845884921309688 11.05869356145614 14.094540071079226 20.104767651933315 14.778187860086344 14.371484464085668 20.664305683985564 15.601034933070743 17.6518243388475 18.37295383868243 18.102163456882195 13.942943441677773 15.338655623337633 22.69388737230122 21.1372090799651 16.94877615436881 16.186359264742816 17.50591995162202 14.383997416497026 22.360054253888393 18.540460272532066 23.50307014131602 11.338299941418509 18.856844012316504 17.855529253620638 16.585043118745627 16.289468362581264 16.748618806777564 12.290948887431183 9.037693027904528 20.64226475952946 17.13084117948866 14.201284544715705 18.969151853065878 9.518145520487888 16.918242173577216 17.511055085446255 24.00193445654688 17.89999192533046 13.59573656030642 13.747998536484866 19.203253077841147 20.19745027813599 17.360645348452064 19.515713281667892 12.377901048482979 17.14049913445074 13.428994245522176 18.31059076807604 20.100103900277993 19.12964351318025 13.447637046869737 13.465826428287167 15.39784640938611 21.42079126689209 23.590603579622886 16.429104999131567 16.140768736327495 13.801459619187144
100 15.226443641331803 21.37557150026215 15.201501852747237 16.544664271501276 18.267461576472904 19.549408735870127 19.80129251296837 22.597724706184348 18.54989104789624 13.131918210748262 14.42989779910539 19.521221873882737 18.31296950310653 16.503595491198663 16.992757423706085 17.12033810257387 16.19861558904492 25.17767274690509 15.796011060693184 11.223648173349325 25.35427491417892 13.381391947963266 11.875259211534757 25.122121753153017 22.8774665349543 18.890197386314806 14.55794334249474 9.790858967729989 20.282483390109952 12.724581031157314 13.607045202596769 19.61062891402209 19.7906105252224 13.545742873449711 19.559802423432384 12.945274170314503 13.882680809228479 14.977302666356541 20.756706675256112 23.640652979383823 20.862504222462164 12.617711584885743 9.699483964126348 16.81624223896105 18.409030234254757 14.488281359906223 15.17615078538669 21.127489210806836 14.262280937691656 16.919808212613614 16.580646506382056 18.96190131116859 15.843740565312725 14.126602964127054 23.730095842521873 22.455672417285786 16.392798148938663 14.084543419400482 16.285616481175186 13.990836232406785 24.02659958644956 18.434932877215907 22.125443123509807 12.239800858550193 17.38148033826211 18.614835019630267 15.746165332963187 15.60050730658973 17.521429649267027 15.281356671288094 12.839228994879662 19.284613932008014 16.56799662686714 15.264278871701164 20.429689736061068 7.704836724023847 17.51136826335781 17.129672718867358 21.112505949481488 16.392528617192994 13.614392339368854 14.435056337555086 20.538309134804038 20.773991085894366 18.89103364263427 19.782167865728173 12.19565244031454 17.02003118303413 14.780794376797912 20.011182111856375 20.107812429231352 17.98129007534892 14.449478897691423 14.874972913199276 17.29581645111118 20.29705042024058 22.465207438152408 17.697733081766483 15.97094949088281 13.775990515400306
100 17.198846768031256 19.618299125365674 18.22085336111539 16.10081591306541 19.43565059420677 19.42262807027274 20.071287102273445 22.01340398468585 19.866524199831307 13.049625582992668 14.175090104510272 21.94149469308056 18.42422372398019 15.7543118927585 15.303078782907473 19.72062181658779 15.80890959223874 27.44676379338171 16.81664142319536 12.085557795510315 25.04112027996066 16.809406517963023 9.697184485122438 25.132770160241947 22.389579678183463 18.73887841192892 15.338680344451149 10.136747422649957 20.438059453451945 13.17884241761697 12.369581246056091 19.994553824861995 20.804159009328192 13.33351765645001 21.870502936358037 15.139559725419357 15.500995588288474 16.546887886095845 20.942726713746442 25.1362077848232 22.878623862159728 14.155053256066717 9.559484627460021 17.046758280991188 19.197466332885348 15.974469688331615 15.397177641240349 20.285960238847753 16.89074061003017 15.788131150986022 15.613564541515933 17.212013527677485 14.775211264310489 16.16679304027675 25.091651544672008 22.34684377616894 17.33966031678982 14.64543134846229 14.980888054034567 17.231316676360954 25.391920433359886 18.945382315062815 21.064031570929046 12.481942797588355 16.777548812382637 18.75857433097023 16.585573910732332 15.548427060063952 15.812404486612587 18.425703329202765 13.65199021105999 19.98164429967219 16.245751967892602 13.484666994999571 20.15437927848255 8.284648112340877 18.796512298868667 18.55345475760083 22.005863476428928 17.9951097717502 16.6048220230016 15.40914488268734 21.881622369046095 21.46906169294523 16.554087671221513 19.758160386589566 11.710028105783213 17.431774022426247 14.027299739737348 20.969102793361472 21.55351904434439 19.68853515417999 16.95807869116885 13.25725739905116 15.838160487037118 23.986576724154077 23.647480919992017 18.13243459572118 16.333887700731626 14.18224489325979
100 14.878409812070894 18.78770067665529 18.18567215486381 15.57707159293171 18.620587791917966 22.774968071336865 19.634728866317253 22.16941516118235 20.284493524373197 14.209973995369788 14.089782686507906 23.425846930708047 19.068141043911194 14.27914470057942 15.564563404405305 19.462576733397455 15.9016492992435 27.4875320193426 18.082805635286352 13.394012550784714 24.948057106313197 17.20748036129929 7.787471569972907 25.862128875887223 22.91523011452134 17.60316906810789 16.25316674003165 11.67572224962962 21.8543350244284 14.312648227671858 13.384299721105842 21.075919962400345 20.407460813351584 14.403271292446682 20.746251677165095 16.879450606373844 13.819316621133066 17.989113937470414 21.104195829769953 26.278295181870252 21.667940701545124 14.65382885570001 10.280601692531517 17.887301473089444 17.814337991220764 17.09347968214708 13.316375159048775 19.37848587116769 15.235669033040324 17.234677087520677 16.48384422884534 17.925606721981662 16.945614879312256 16.02416625471653 25.451810455087802 22.42860783233595 17.464554041107153 16.89951290909298 18.05333889378597 16.77328150745361 25.919078329462852 19.369600001604773 21.63710917428518 13.343509008530125 16.705735837613638 14.103763081246171 18.968228123011464 15.060025693595055 15.832053644524917 18.266738099364417 13.093424061900855 20.344062328760664 16.453040666998007 12.965411639118674 20.196399765614643 9.241687411495002 20.275431398009445 16.94953114282925 20.777940722083223 19.137035250489188 16.199714094892634 14.643111244381465 20.911908702197685 21.33520250161184 16.763047421271057 19.672683063728975 11.087163043127713 18.51865947599258 16.102657876161743 18.58413272882232 19.59147593425877 20.998789566850533 19.211865714515145 11.21317947828153 17.126263520542654 25.684510336757935 22.290899169471313 20.299454273554023 16.408989345093893 15.060738151364852
100 14.31384855083865 20.321168857146898 19.378567446691786 18.249780486642003 20.50663567510083 22.519681324759425 23.60603224665339 23.716608293891625 21.0518045663763 13.197267518882283 12.618798749941146 21.297938021144258 17.867134538421002 16.376952845122467 16.56015817447243 18.65311678892606 16.077127540669153 26.55566129262243 19.442869843193865 12.755220935953632 24.900301788109594 17.839666689047906 7.683943156774123 27.598883225415037 22.384603422813218 16.54148199581082 17.813894240797346 12.28894140076733 22.17038549543402 13.131231079234125 14.929214360739527 23.670800809217308 18.799239748998858 15.288420018182647 19.512659972107578 20.519979217851464 15.957961190753188 18.60391882066242 19.627306547838742 24.79717684157419 22.547750216515833 13.207409077385618 9.106038379331363 18.09566323788964 18.07809741227627 17.77686733813703 13.2160798135854 20.609759401525903 14.607376426052358 18.286901683156668 17.02702681784853 18.764700882892186 18.55240441783167 15.699756469637228 24.150619279634437 20.223270802862434 15.056261094955207 17.021031738362087 18.01737755279175 15.496292704002437 24.212682541551274 21.325095554141644 22.86610368080896 12.150567931025877 16.48146879873702 15.009405719021455 18.33328832217606 14.444006022767827 15.709516942611812 19.819034772730152 15.1137311133099 19.406850216126138 17.288223474403235 13.392431832439238 18.7370585869963 9.734208445424436 18.774134722975866 18.722210369359612 22.721571927868535 18.702065005304323 15.795809981209636 16.465504193306394 22.37719953620708 19.894706477627615 16.874172071943786 19.781989089926654 10.817323673024061 19.011597097352563 15.36224776890497 18.166793296533047 19.671698572876384 18.964423796474566 16.561678464457188 13.261970357634715 16.278623224216147 27.91195651967166 24.737908784166187 19.576029115729064 19.73654027809351 16.657772578791487
100 13.887138549812793 17.0733172864959 20.28572972953109 18.50542929314983 20.930893160168505 22.001059671175945 21.734869630479608 22.83157885452105 21.97365441908339 13.098204436863806 12.78078393275374 19.244264911739844 18.093651429450475 15.069765767916092 18.034641809980307 17.751042398829764 16.028002964214025 28.850888309759213 19.253768815740933 12.73267109167216 25.16717912435181 15.708747125348577 10.309995275086207 28.42822833643644 22.963315513532606 12.462510136859535 17.801082336624006 11.12347422829613 23.393504192875618 14.949028560061581 15.795793053872597 21.67345439301952 20.90262590737085 15.298430548514794 21.746588699660588 20.71895603179187 16.969897495561238 18.202764459886943 21.691901190419202 25.508062218799058 24.264089516884127 13.875140774974145 9.689410229696996 19.048062196845578 20.022045968213828 19.23218495986542 13.870946876637767 18.13246594238045 16.198758742068094 16.568724270645685 17.29208170289796 18.60539272229376 16.651418609572094 16.47507761535083 26.61632367644239 19.98154235180437 16.457639814695856 20.421193318631328 19.24459386225935 14.89313908354657 24.086957026348006 21.770147882628994 24.7221975089002 14.26697026612374 13.246319821340938 14.199210221651953 18.470609764215027 13.604723619645938 11.223698562845627 18.88588574657579 15.42922682225175 18.817063667266687 16.16044745408539 13.844229811676069 19.151461107781355 9.957448648530182 20.81757231931218 18.91513885089571 21.360403096887353 17.372645617874177 15.987285031308485 18.21605191069225 21.075377964524936 20.791827382716882 17.28936680122296 22.548916793039623 12.072217773360444 18.056021354353767 16.54640748922735 19.483596874933717 19.359445243627043 17.514885775246093 17.491833668833582 14.029976622476141 14.488206968278336 27.522704964667575 23.600218930316565 17.598682867879884 19.299166767340143 18.573919465126366
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37
Frechet_distance/test/Frechet_distance/data/curves/generated_100d/5.txt Normal file
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100 5.45552589671622 3.587179550043772 6.300080240803717 3.4629844054747028 2.5414051531352917 6.216220116257468 -2.5986386093483005 4.166997472281877 3.2587310527444986 2.523236176523375 -1.155317653155114 1.3592115366199637 0.33434207285471473 1.1482676874837725 6.367398550956677 1.7654475005741137 5.168873029349647 6.2103390964865275 1.80555389838671 7.039987892805081 0.14310825428868362 3.7456686738694485 3.799483130390349 -0.007302048559294616 3.615477151349479 2.721711538645003 6.948671188146816 3.8805307649929426 2.1993921200874658 5.799565146169691 1.2470622273194816 2.078284367421167 1.724224889329235 0.044582119451935354 7.407127729360031 3.7552970492898594 4.766728961536785 3.2206315852723955 4.760458861057671 4.5675653752376615 2.523955572501194 9.28340655423896 0.48966249188874933 6.269589082433507 2.0780421335427914 1.1953986361238194 5.311918362908448 3.7538127318135874 7.981460804085881 4.748350223222617 3.187113585242651 3.5744931797324124 6.272417622686345 5.476935872338805 0.8848575646396505 6.401810381950161 2.3769283833621877 0.26194010141496826 5.087270101026123 1.7261304061610443 4.255397855077777 3.621534812047872 4.9730596224613475 -1.2630097173985542 2.2563637140379456 4.825136301919768 8.994473274025824 5.506553017296112 5.072045102556663 6.448352347828548 2.4753169385251175 2.646388778999901 1.5189601612216024 1.8156202415160398 4.620982838845012 2.858825533491666 11.131665397051105 4.449566267235079 3.065473013885175 6.040186438601808 8.391809347697976 8.512346844742313 3.1015922202200246 2.3437850485736447 1.3023928104394045 3.9555367309597544 -0.5534932049221972 0.812328549685855 1.3671626992975452 0.72178229224436 1.1055687929624325 0.92087505595598 3.3577898419090015 4.497197880039513 3.7637560911028727 4.409139608835225 4.071286483902247 3.074150590199709 2.1752610429720383 2.63491961006046
100 7.063353534321052 5.025085731050388 6.973249149847817 4.228369089691781 1.9592941065979046 7.927581515287338 -1.6581806534334862 6.758274210339126 5.267433543997371 2.4090065198922406 1.4628925616398027 -1.0994659329861483 3.7113240516003607 0.1877352046022258 7.641439111411416 3.1269126108261096 7.324728149051738 6.417639320535519 -0.05239343757143322 7.195422350002089 0.7090347639071314 1.838915867717677 4.615622756287872 -0.4059089838232036 5.26161947352603 3.216633843102125 10.184851850763058 4.216824894835873 3.5382127557379786 6.1194188566238426 -0.02521549021660663 2.5530338023402566 3.5809130117351247 1.730370220742338 7.516405226780288 2.5469316413173395 6.322843413836936 4.586609464611541 6.675993268868486 5.093934630008444 1.1616116526799978 10.410384137082103 1.2465143049087752 8.725341633989352 2.8899401287558986 1.9751100260603867 6.49236694578674 3.7155160245034295 7.758388395335669 5.3309071895163065 2.7532598397009087 3.9691916544376347 9.324313269135168 7.470308967402719 2.1599743837165146 9.14905047888801 2.1216952445459256 4.464671477298212 5.143686385544188 5.099575072567498 7.520084603961563 2.0512318558610962 7.697481120806579 -0.704610247451565 2.3829564767725646 6.1501758816823004 8.245239367325123 6.847755547048232 4.52523893804824 7.298492212925722 4.9770304959986325 3.9724729410255306 1.872823790310219 3.281414128175562 3.422555006313146 2.565833043414384 11.073877187125005 6.196190006894565 4.363660225598246 7.394083489812012 8.967300610033268 8.028495060809842 5.787683577288921 2.313579002870806 2.7314445892251396 4.638345842252374 1.1332735975743784 0.8332997675702454 3.509687281758537 3.4974777278581675 3.3649399421412918 1.991294415924724 3.5335564481617903 8.965175456408048 3.1542123568303895 6.217342615694692 5.273854896717254 3.7466260220893686 3.2342827438795645 2.759387071144107
100 8.179799260006499 6.188503211101151 11.020819503971213 6.374982333814957 3.388842833152389 9.208231707509796 1.6543064481308172 6.0740465040861675 5.743590085937599 0.6218100552222823 3.05079609670886 0.9686884824442543 3.1168312922481505 2.8620935060772372 7.268497605946458 3.4116393187671235 8.06546294472112 9.10394291249933 -0.16977103081276568 8.137499088425256 2.526342232579915 3.407506503473642 6.109380983872371 1.5840413050029198 5.2541465610127585 6.188604103647469 10.568816555262996 4.54194903541894 5.995046937246166 5.871373471399291 1.2714326456024887 2.319494920592501 7.633662668295985 5.542555996063247 7.849870770067839 3.950339104098208 6.964826994462523 4.8777166316910945 7.549498367567822 5.884259725589988 0.05865595296784232 11.126791134772665 1.9123170283008843 9.655387516502552 3.5131711216552333 2.295242415473388 8.203059526172709 5.134769556599084 10.187847655244251 6.644842635991311 3.2649018764175124 5.433262687801726 7.132804635072991 10.741671982915067 3.31810393102742 12.581877267649727 1.8054997369791752 3.7699971026210735 6.260018488192931 6.173408762752593 8.466064395126182 3.0597786858094365 7.5605675412590285 -1.7499489173861231 3.5947451446747682 5.054497208170476 7.039891546820409 6.968672779649167 5.773826650157905 10.453029789860018 6.889216084450436 6.584653736449637 3.5134473799272916 4.44047787839358 7.352802622643782 1.6425239589465968 11.031830182657673 6.39239118631717 6.22353054062822 6.706961064557374 10.533907214735349 9.334819508490007 7.461920725453471 4.209891998826089 5.535213442841781 5.35722891223223 2.6841150128856874 0.6684166953643369 2.9189545759491744 6.632816454912676 3.160488940748613 3.6266710034122247 4.944085542674667 11.076008215009608 1.6933934617536024 7.945054177453304 5.900283726726067 3.6766387151595663 3.6640568100822604 4.875161411169449
100 9.639514344182475 6.718788880924569 9.922687213197607 5.6412641260066 5.0597376559470515 8.020142463355038 2.2696522521242235 10.165460395525162 7.030788762158895 2.3566697132103687 2.458520567256313 0.24234495196469674 4.875411860473562 3.1807259244107695 9.370568221903522 4.312253262503992 13.23866132137045 8.980868364129638 1.3360999571334922 7.6242224002358885 4.723511390492485 4.866306384030045 5.626925737039654 2.2085827495096364 7.8789931447745705 8.587353652668646 9.369424290968075 4.691417993952733 9.08486463419357 6.364845370929388 2.458763190824005 4.498633384839417 6.624697318296913 5.087678589410517 8.019157350521898 6.308283692688653 9.02463351063744 6.671967061787891 8.17476315003697 8.287288476658755 0.9105838335032739 12.349097816607317 3.916263816770425 12.471776578284679 4.26336761810361 2.725228270211099 10.511047813688085 7.707990381367259 10.114691292396442 5.947649385248934 5.722447812445812 4.023136182272898 5.542572061611892 10.910543166101474 4.197811439163873 11.64059211733572 2.919187989374206 4.903191360706479 6.22381406674562 9.369047652625774 9.48670099312386 5.245732613058625 6.350862307444579 -2.7247956489850824 4.979058117677744 8.084706943190698 6.363821166470139 7.763174618756039 4.7983692206858795 9.94547613900483 7.691200663123968 6.573199818462506 2.5305847664433 3.341822044211979 5.394693210655406 3.097143595726741 12.303964459208258 7.783578261832401 5.653780165534634 8.628780143259531 11.954420593074852 9.836407962833912 7.797492792172502 4.140274255002941 6.460114313047536 8.20741267034107 4.952202593678687 1.132561683397034 4.306848121668012 5.898123109626301 4.967036491650986 3.271879987311322 6.495638348187616 15.42222255090807 1.7103938281008206 12.234171775483839 7.209329751164565 3.4126374912247366 3.363795512837369 8.619759498727229
100 10.736089597859902 6.674031464875002 10.102117529384513 6.908550241867134 5.682217272528032 9.010643071460894 5.3370089026079075 9.132852036549547 8.51809554954982 2.9728885932831846 2.645807055349344 2.562740971078091 3.6382633356138756 0.79418126487489 10.157599139013163 4.825209113870145 11.806127880585516 7.267264309106059 4.803868554723275 8.78321882326193 5.392997194184468 8.429676270151766 7.632481647335717 5.411739353663389 6.95486306566559 7.553137919187916 10.75032060233005 5.86577487356602 11.175023546620256 4.818796373753328 4.1599979697285585 6.417811807933598 8.497444490626396 5.234204995467328 9.158278241666393 5.871175145197571 9.169404481002474 5.981874628346489 7.854379019390979 8.68977544504025 1.1786852565138166 11.656546425720057 2.8414655979588064 15.384882632620664 4.290468073662534 3.926904240134615 8.625789320716798 10.032059959426563 10.852436332718316 6.028899332788103 5.806500370605806 5.82892510813756 2.2705861027255514 10.229601097560069 4.769431611961219 11.96291205037171 6.97261081099524 5.220397575580907 8.117246013733991 12.14395211764905 10.786012359231803 5.007509079625175 5.43903526454441 -0.7557492814566164 7.861506643754013 9.290441384797393 8.652866336311382 11.720841985005215 6.579480442172859 8.976468799972789 8.286627035762356 9.001231132708838 2.9865006864042427 5.994852530556443 5.905356923412068 4.322635445205732 12.298149203933992 8.564665990981837 6.585269325904319 7.0798928274565185 11.83024472001092 8.715704674499253 7.8070291616713225 3.9052826309901354 8.426415657346347 10.174535483589686 6.386407921747814 0.28231053900019076 4.821769537722422 4.897019605651805 5.573160231703688 4.875163483504858 8.385929093740023 16.33602300108692 4.124467177065672 12.876730418779063 7.534920564927222 5.290621811583336 5.310074786677022 8.454001819852499
100 11.674333522819056 7.054071683316607 7.970158269610027 8.194334461120759 4.664927388198071 9.981946347049554 4.023150472495344 8.726867995978324 8.593097477857075 5.285924930716284 2.8623853991756665 2.0666584269888295 4.903733559762952 1.3921435616939903 11.690010729085177 4.245568189777316 12.511788833485495 11.12587150717194 5.3704212508270865 9.57989198658157 3.9079892348241403 7.920326462256998 8.8728221542206 5.813593989749556 8.471363616717959 8.761329720115588 9.60331891659298 7.825091331395417 9.96553277182746 4.534307120739524 5.237142402793534 9.053912065059908 7.818587942092182 6.161512987138724 9.814665283708996 7.376322494154753 11.279458600453648 6.223934103712383 9.918534105984106 11.186071306150653 4.481177349494143 12.667492121685545 3.7768788709342305 15.020013213632046 3.1380329979348067 4.354531198555078 9.30913605424158 10.386720089628355 12.164484277314209 4.858471142995795 6.280382431596512 9.073525297259078 4.354805990141807 11.49480020616393 6.04736604780849 12.012811265120854 5.362615189813665 6.630248212344376 5.504875355459778 12.041515666329783 11.185529967874096 5.139780730623688 9.141964408302119 2.6158963391734638 9.876071954529525 8.571861324195961 11.788567529306132 12.971439395173357 6.026225766062942 9.576221917963219 10.084490031193095 8.810797850314334 4.003308475388216 7.036701201347924 5.105766064929405 4.779203283329772 11.460511889694564 10.285327883971828 6.078331243494087 8.134355339208275 10.524240058829097 7.829880161926283 6.8627614169258795 4.419374358427756 9.277073923845277 11.249183609304684 4.786069622437189 0.9837380600151847 4.526626153102241 6.4675809378469 6.071822315323583 5.5264577155542005 7.982101199996269 18.86066709944916 3.1890734043848328 12.659805844378152 8.350410111824445 5.684923407521629 5.062757816829842 6.674471143742898
100 11.204814069576233 6.609119274719507 10.787206062144957 11.838151776180968 5.372994339298295 8.690286041921867 5.790715437682512 8.045271471269725 8.564353843977063 5.151913900320337 3.182124886606422 2.6055221000508535 3.9813777750351607 1.3965094875411306 13.476610017007511 5.027827442468405 13.1017618603598 8.71196242981544 7.518641686071602 9.24286179472977 6.178332769812975 8.795835101733042 8.767792682224945 4.506987958731127 11.990144881650163 10.447056899770176 11.399512906692694 10.772249339188448 10.761318507400318 7.074185389937305 5.396476528899234 10.514693565015799 7.712477495509426 6.2492496501379735 10.394285717025413 6.348327756135534 12.20808890340416 6.633282972254658 8.029636736629334 11.281916416471503 4.91283892412788 14.107611192469154 4.885009720611701 17.19379479907218 4.680571639181135 4.462425602940849 9.775694184372098 10.451199100351117 13.304335719334887 5.777450181058209 6.2040233298301235 9.60986301341954 5.692626813602905 10.618029215828884 7.220491244666581 10.524347015029571 7.611524351954792 8.118510231737714 8.381946612391154 10.941761227811277 13.073426455879465 7.119211261818356 9.651951744276587 3.020676443793781 9.080101927618186 7.384424148757943 11.328478202265591 11.751650754038106 8.855507920296034 8.192053519635396 10.774934334617084 10.02236522979747 5.312530507370633 8.238850341388279 7.061479882191629 5.0461673468341655 12.154969968518172 10.447631959777693 8.526309100035151 11.534992998703979 9.584631297059598 5.8722166055525715 8.293497401185038 6.743784762716579 12.439501158904791 12.797579580740614 7.447630047105093 4.096979395257518 7.1815481548634565 8.472550374679818 5.291288579171184 6.296195610027494 9.00363392003424 18.89751605623716 3.9821752798201993 15.035811816984262 8.050973743266574 7.480285543344337 6.292587039858198 6.278501924485937
100 10.274266978070656 5.249210079981882 11.912688069418326 12.271119829501691 5.057146107392539 6.875103090499781 7.086102085839992 8.469803784839273 8.344210282098231 4.610529437807593 3.853850379265334 4.21651753151189 4.413596711978145 0.796073665527079 13.774823696919755 7.19387420825934 13.560848696461154 9.440132596406444 7.917914048207354 8.676349154203715 5.68413826802949 7.281466622511983 10.954002292740778 6.083122469983045 12.6111452297318 11.397126688292971 12.434160114217724 10.251284079904945 10.813354665598975 7.11980032134064 9.457596483469226 12.275649900047192 8.67143638238694 8.785434486464137 12.440464062121489 5.2501974387081995 12.381534565917296 7.428637281088175 9.647403045875688 11.69714438866211 5.667391068790241 13.768031149248772 6.945849499599674 15.495621738684273 4.930646462797894 2.912800254493737 8.969744701236511 11.392563876922722 14.197823599731757 6.185206796679775 8.4328333101847 11.880965189686783 6.28782132131468 11.43783056036264 7.350096136699339 12.00436384495177 6.768586156571859 11.196396284583468 10.483519508051693 9.80780731140699 12.368086022983043 8.341162997140753 9.95304116988806 4.627432378743677 9.29127856780585 10.012978099962837 11.89750293361974 15.39255541693578 10.25699025128608 7.101817062800887 13.960383846736933 12.046999341011267 6.602947107232828 9.653814644626891 6.152721912293974 3.5578324655478326 12.659784204274732 12.791355924015605 9.680120503351805 14.256058144370577 11.986441637059158 6.713138057783747 10.463458622432913 9.553184589029295 12.79381045108123 13.039279646838098 8.352702760849631 1.7698807952088291 8.16970516280963 10.181488467088677 6.43655939396933 7.5051616384608 9.540116145123962 16.47097868165592 6.967037450507549 14.772339640247226 7.970064596182863 9.923873939282444 8.338797051756472 7.39655677347615
100 11.807470848966107 4.696682654855413 12.247616948019905 14.455818320491677 4.969352529493968 6.3194650226188305 7.862429153533735 9.242596837802422 9.921920594453404 3.577642607647036 1.504267541667494 6.343032178603583 3.860832397392424 1.0030861959915338 11.301367398117012 9.223138269934616 14.405436995672602 10.45457483330051 9.13002033734474 6.633814643036569 5.152976666401451 7.441828945453257 10.519309390416186 6.635478114322351 13.42038022889123 13.228861711396537 11.056426032588009 10.713320343358363 12.22063711698752 6.592448359442958 9.786203946662257 13.224735220879465 9.387590904842211 10.292556765994675 12.889562826752135 5.6199729811032615 11.320300371705482 8.53850910261281 10.524787934980049 11.104387085037677 7.2824853282697255 15.701805887829869 6.681266954534846 14.829796282384926 4.7461016857133345 1.685699927016862 12.166340881336339 11.295296829958772 13.496744822778602 5.529618525056803 8.584265714424566 11.36813418973041 8.823159041463608 10.272214747221401 6.076158956697467 13.3158827977911 7.402753336819255 11.488485298848778 11.722901283402704 10.484940212958676 12.67533926296427 7.132387570274661 8.524181044230001 4.542592564830924 8.562666403848885 10.871672869656413 10.096781174875375 15.106090621304698 10.582636685788131 7.791731012541673 14.778528085448897 12.11504323009302 6.47438647799685 11.776884281935528 6.440092213304107 6.364747812918247 12.7793149650552 13.19831730397996 10.086542975703912 14.909649596620735 12.001209981654366 7.621536471151276 12.973160669714082 11.602731840694467 14.614408718959229 11.811808503658334 7.504616274013163 3.0133737786436283 9.751880248363324 10.197254279426744 6.441968720381297 10.024928680260775 11.006779532754535 18.159734887582335 7.062384015573726 14.33092978048923 9.946304341850876 10.134345512585861 8.21742074133572 6.92464793655775
100 11.546812487885404 6.7257856771388305 10.667479449745617 15.614761086772937 4.773568154586416 6.749806204703121 8.244307054499794 9.496887614320439 10.134709072505625 3.7437617116277937 1.7614148155436702 8.791459198743143 4.69960758399622 1.7373914350443411 10.924608369508025 9.222101200580193 13.88130018479517 11.951809258538638 8.82987792959249 4.3986211425489525 5.937913208611389 7.749707182019018 10.270189677467943 8.614366869916008 10.268959523084131 15.657563846435458 12.99653087650012 10.302994408635845 11.999124896556085 7.888376661985571 10.986060558730074 12.662254724187992 7.885876369468699 13.534497647820759 14.405255319792403 6.509057318727406 12.025567758265836 10.004706930041017 12.121468014704336 9.057551778010863 7.5218350122299995 15.268539442418446 7.024749511585447 16.12133988423955 3.163840817572094 0.8643376507811718 11.649314456817972 11.943031485341713 14.992402636674518 8.42023260133173 8.80010729179922 12.82999081187026 10.218538415420928 11.453580571856241 6.771433846228541 13.26775037434787 6.687528535465226 10.530994211211501 12.57430812948268 10.832576612176824 12.45364006357072 8.6222692275016 9.010789017018139 4.110404049320895 8.873461935332351 12.355822213882155 9.349318983167192 15.661162492742633 10.993977786462539 7.440399536748556 14.626453407146842 10.51596004285061 7.295502524173847 10.3505624714599 8.458514913823391 6.972322442110224 12.522487567195695 15.074803826790458 9.257153108744593 14.224219317551515 10.131916837697462 9.988288147846433 15.748519303928934 9.943071953822194 13.865700138654288 12.43690068733104 7.502276104196524 3.780346653243255 10.043352246557143 11.353968293629656 6.021590609062155 10.786480107241108 10.001504417828638 17.820544564077114 5.4078688378086515 14.041418541198349 9.773085695116924 11.851682345382304 8.75820123625575 7.7587473764004375
100 11.94103781464959 4.753718459719568 8.543141006289114 15.484685539204168 5.8809218225817625 7.134950689230928 7.68054090789394 9.719618017160423 10.292250404299034 5.501584875613821 3.7013407919692174 8.684549766762789 5.407334779798384 2.967717894063643 11.96428083248988 11.907062137634668 14.18619973752797 13.900707591888667 8.026561604173212 4.382810271013224 3.8384308991603535 8.610295921159159 11.644631940924691 5.991847267902976 11.088985316711975 16.698649841836254 14.181566501773734 9.18189449693995 13.385453532604416 8.480533124424854 12.20683911372398 12.793696327660719 9.069391127137163 15.304989137133811 14.335880008289505 7.525655839434828 14.09603903993413 10.42102319616663 11.21549682361156 10.719804439338017 10.079441220308551 17.127173424473632 8.49688148509908 13.298718809805601 3.1764357367717446 1.0933144012509628 12.10943163058118 14.55652808062857 13.927711141138499 11.961788930119837 8.887746738537123 12.142733260071786 11.721720746528668 13.076070537652594 8.316168785184574 12.74772190535747 8.05715640557146 9.75889364374174 11.898282407734401 11.114864727427356 11.722293337235351 10.545793312225804 8.990755328106316 4.612064354736377 8.37890665177988 14.048822656949396 9.114184849032405 17.403139438128377 12.851213772015964 7.525803447733215 14.905527955675314 10.43535903103616 8.64913632901899 10.526192361677257 8.441237571562837 7.737126141089002 10.97244964266195 15.249194437621393 10.664773059755456 14.730618950975973 11.984167900252718 10.04541139520461 15.349133708222777 9.101890440673502 13.694109213629499 15.50095929797645 8.537805307061314 3.7970883207514445 9.170292722759758 9.849831720087854 5.804647977653321 12.25101420758805 9.951611335832343 16.791868594510888 5.004731955370232 15.140774728481013 10.25580946287753 11.44237918149446 8.954804180200222 11.266110483049758
100 13.93856206227066 7.584994623170289 6.863973021059611 15.586296232730692 5.745345915825729 8.527856361645005 9.66179606766832 10.679704024450524 9.74606755921244 5.309392520973935 5.4262331853338654 10.253556254539022 6.343035437826215 3.9614385722945364 12.472060641190968 12.660040586729364 15.449957781492882 15.053553611104304 8.822506293518957 5.152402580237194 4.532437381777644 8.22868248586005 11.08418562498285 7.5578860572004265 10.706536870188772 17.961769570495697 14.535186005531054 10.752233270495868 14.528355820262735 10.137951148997269 11.984281589807937 13.620180074780317 10.668732821511956 13.528161430658294 16.752367915321 11.078693797256207 15.671153218544509 12.049530783414252 12.600495681098845 11.010857138333504 10.505689637693322 18.46727486898176 7.7070947276247 12.303595453011708 3.5183484843059993 2.9464435286151236 11.370002545713588 14.549898890152582 14.19509679584721 11.09512569408 6.309841311430061 11.16276228787125 12.393060514313948 14.05061841736056 9.591175297983186 14.06016013730049 7.902307528643282 9.293250613100572 12.791626119065272 11.239481827656496 13.283874895068342 11.504993876025122 11.409788182297392 4.7865454063691875 10.458775129695255 16.954011550296183 9.842679444628336 18.220874468142238 12.01966509225212 9.364365592798695 16.604332729447034 10.344902272811634 9.996952476873647 11.319872081740401 9.488137625848193 9.472635711658752 12.250304092311108 15.338498282508011 12.247929639948373 16.483160994065365 11.792586581238641 10.600590976971965 13.273970013029519 10.532232963124159 15.657841942616013 15.520132719271741 9.348315764862257 4.306354296560719 9.164026549890526 10.8211464860163 5.680018449708218 12.354351387112553 9.295670636257904 17.835780342866858 6.053821462924559 14.781403322304357 10.880081740242094 11.593436909263888 11.042875414205147 11.156753917709429
100 15.100447533362612 7.519877687916542 8.687719185200661 17.25920363809949 7.942665622550933 11.116782752383902 10.59165842369394 12.825215440519562 12.542635629655294 4.602205702870626 5.556144054839824 8.916334128432906 8.500541426159673 2.855301188505549 10.618492889320356 11.635079791436807 13.483165598726199 15.707759399081917 8.213277676363385 3.8327992526719155 5.331648093120638 8.975797348171549 9.209107393438387 7.488070719994747 11.236235936498195 17.648989287455045 14.551711400523587 12.750404611957853 17.59904266726956 10.253435437443528 10.71925510032109 13.59239118254668 11.534629391610993 13.832248970746376 17.626913932969156 14.41315592787721 13.730098588815586 11.936198351296733 15.207532755702879 11.1037309861992 12.137863929010187 19.302319837384044 9.889967022348898 15.27668993423839 4.882751961333698 1.6740174146228481 10.932535912444507 17.709813231547216 12.790839713829973 12.2910120705202 3.855189778809249 9.858494846961822 13.873953783228835 14.418438958271379 9.726102920164712 13.498947617310792 6.047532663895138 10.918335885253798 12.819609039730693 9.69703328480592 13.652905013713672 12.716647189221828 11.834704063406587 5.791503398199086 11.150295382499825 16.148227735776175 10.599681476447834 19.314304967155717 13.834288514044367 11.031333405889882 15.880348314027827 11.79000575957832 11.170364658585246 10.82518064957397 9.418960071627344 11.00546643199926 14.632197274886632 13.27736292940857 14.838795350596177 18.231365529090862 12.649554695425769 10.87245220730524 14.15541908270877 10.35803968736326 15.722691099607099 13.993663983654608 7.741908251913685 8.189874653941313 9.79294208445359 11.769791790549338 6.640065818664081 11.725826037293785 9.512777664527073 18.199731075116652 6.553412415279098 14.048423147574619 12.104612461747417 12.314954751699188 12.094118225217994 12.594470447223596
100 15.126598261664004 8.096967053979608 11.224888770092244 16.239988073547067 6.116616020253774 12.323416868684983 10.233039146846725 11.803273538219619 14.174146515143226 5.153479666215765 4.757353767011084 12.07230779902075 7.009767054093212 3.600867789996254 8.695170392434347 12.418543043760014 13.033132953597306 17.01574053069143 8.970447145879692 6.480078303513899 5.522923945050602 7.522817240081465 10.140664554621859 7.962560487640452 9.424970644052872 16.435262117194355 14.006717915783664 15.09311580466949 18.606953328886007 10.281645503575104 11.824694149213364 11.200730812806636 11.322631822668804 14.684075715329502 17.867824497176585 13.951877505465157 14.055731650229905 12.890377709893446 15.610763782363495 12.936196890223307 13.024506580939235 19.9338323256573 12.530180472693461 16.637578595098475 7.9365303979910955 1.800528738536614 9.327467584767167 17.645920961194687 12.980805521842829 14.63315899180976 3.2822620439523558 10.250450472322822 14.622712954784458 14.82684477108521 10.076822314918312 14.459821358099443 8.244344167768293 13.49724145964007 13.229474198147924 9.129098309709534 15.93411655179714 11.672214907025497 14.777113898626627 8.277700946376637 13.645365179894487 17.189801698106606 8.450057075425386 18.030136860026797 14.568454948154633 10.654266692876325 15.654248350920412 13.080858527452614 11.412579714695283 9.66671744891028 11.071818253027224 12.193162791018239 14.725719111880515 14.591676071909609 15.243868379965056 20.082466028782544 13.35485306634191 13.12277977740265 12.018240696259268 11.577993288032793 15.477296207390896 13.326847695470203 9.950550018659678 9.920202268997691 7.6584031013819285 13.283339013922518 8.28959106325468 11.237918470597691 8.98850789196479 16.340020094649145 6.789725859859385 14.086913841317479 13.631639540260947 13.068390610397774 11.160363127275447 13.30942888712596
100 15.044465648391187 7.651365078001986 9.629208865970137 17.31944157934159 7.414374829963035 13.46679311912383 9.769456743041623 12.464873285584881 12.77793117998775 4.58447556073297 5.696326715162169 12.879786812706683 5.584159916827949 3.0482376046848936 8.865624954453683 14.054951991017441 12.387738623573313 17.369085872458687 10.031939548562283 6.9034476878076605 6.615794867673667 6.494164694492041 9.862638051703383 10.60892529413766 12.041470771071927 17.75918948063594 15.88432834836466 12.90978198066556 17.4054372032536 10.35932238357782 15.399273685615407 11.190651031663016 12.82913480742925 15.460623857630653 18.343250084884925 14.189011461803801 12.855372648121085 9.843157703162461 17.672695897256872 12.749253016917145 11.022765403240303 20.434083920283 13.340648072987099 17.845949014946353 10.010231113870358 1.6058464584731107 8.749282555559109 17.354546209297684 14.524883599371188 12.215196008076457 4.383923133909085 11.938054502416573 15.962043130302899 16.00511422901231 12.016680836133649 11.332351701173359 11.017127854913804 14.36734191885295 15.311158024441033 8.130427700705818 13.813332489988364 14.41269374858672 14.025077183341555 8.476926584316518 14.752623522357958 18.287217927823757 10.574611181581263 18.460423837086896 13.493892696842211 12.099106642957883 16.791454872974455 11.14595896505528 13.70965398751972 6.928436431171786 12.82805721264473 11.823600454811412 16.057791072047785 15.572961940407954 15.456199684356537 20.685249895912065 13.714903686970068 14.456500081790406 15.280824558434968 10.39273239636794 11.62037466930024 13.277404172839605 9.903872523907438 9.91001058512943 7.052179965922303 14.919378564752888 7.283872056451726 12.306878810934437 10.413849672907128 17.066262283163127 8.089571772182875 15.589934868642498 14.109252125086648 12.981410583486538 12.292827320615691 14.456738306240082
100 16.451072021766674 6.21149191755744 9.945537964941987 16.138298927208435 8.780562102200465 14.762476825643537 9.916552413315095 11.914176123070574 14.01967109115855 5.148903004030237 8.38350286970501 15.600733701939792 7.6492436076953325 4.19485754845248 11.867752360388572 14.662312688844613 12.208085357448194 16.640089969728123 9.792320046679675 7.611267306378179 7.892924269804624 5.423966000535701 9.862838940807077 11.510584024788347 13.38474244629309 17.87698056322542 16.539250738781586 11.610264480371843 16.31885238156993 10.752703369648067 16.29229058393483 11.884511135827966 12.173544628790053 15.391159896294528 20.29434086241947 15.148069969647883 13.067072598905309 9.139472888079446 17.02105009330199 13.376093775117148 11.914478936299295 21.072953384813925 14.062776088905927 17.504781174112043 9.846122449858246 5.266932005449679 8.611451427286939 15.813250054312082 12.778824319892454 12.203506627887622 6.468996553780173 11.565458077597913 17.987037941187335 16.18398976134186 13.902330140128512 10.961509425490307 10.564855724773242 14.872737641887886 16.164742948100482 8.476311122349625 14.46977614882542 15.437861209758767 12.66804906357243 8.619299924304292 14.433290044346426 17.70624681374621 11.699291059112184 17.91845716598986 11.240288929130381 12.231187618589157 15.539758854637007 12.319578295549844 15.076249453443221 4.744048713934073 12.13020151547412 12.753505989111629 14.56203048067767 16.85002554277756 17.066167794408305 20.45706081459092 13.155934885521969 11.779223210182778 16.57345453562119 13.614677603098832 14.455276511332597 13.512287780583458 9.062212309032857 11.474898872503465 7.512829966352909 15.945719112307904 8.51517386825575 12.84559821308135 12.259930194653048 18.722358010571774 7.996565848280303 14.571746257321244 11.237179928315395 12.895774840923501 11.302804754148326 15.30026769986455
100 16.21197792173706 6.9158346721709565 11.620788016703404 16.96618016761943 9.275334529420059 17.275970749364316 11.447841441885684 11.867504903556775 13.994010171203326 6.98824186352934 9.43423145119972 14.447430316900068 9.56044704352512 6.7289694949398084 13.93503993767702 16.96828020936198 15.421020872610328 19.10795558196434 11.029235516922073 8.12064165018538 6.210712494924795 6.394908133747019 11.211154904389945 12.229865156626476 11.427609646518201 17.671515500841583 17.72468806099159 10.718787268669493 16.71835500485893 11.833459586998416 17.952461999088428 14.51960723268947 12.241385373783583 15.909156057043395 20.431376217137124 16.2204385896238 14.239965264304518 11.764074310649141 14.350545142721005 14.59223473874342 13.105325369728693 20.614717831334474 11.324090172179657 17.609187915287244 9.510153191141407 8.365289001416471 9.783731396963166 15.037799832434022 10.666479967895246 13.488231210158899 8.234903053913778 11.742915531048364 18.761211918891554 15.936943708658141 15.6791624706201 12.984469160892424 9.05479857502026 13.47280324766176 19.011267483735207 10.333183908662747 13.104925113978371 13.630212662481835 13.590645619887214 7.8006051562219 14.451662110284905 17.717143583135382 12.196274593421151 19.549778336125556 14.178279606589047 12.107112818556503 14.303080168527128 13.358776437393498 17.47708125262001 5.102612315140482 13.63679730685391 12.147921106536886 15.073662312406906 15.556458256186549 17.25983929742962 20.300146046753515 14.498383828474795 14.64027341069726 16.254764282934342 11.520505095722202 14.586797952818634 14.449563659278418 10.046762148731363 11.718208463512763 10.138738549813143 16.52341085527854 9.265747785166502 12.281747079546173 10.45710641478421 19.35565874081209 8.998165825671057 13.470184791676463 11.799695627312353 13.134627219826381 11.052448763734827 14.558884956441274
100 16.961719177398084 7.622279460155501 11.388337541446989 16.116266214541405 9.750153992460126 18.644111814514527 12.211772366724771 12.07990339889609 14.875540007208356 9.490712669049625 10.82519805565646 15.182466902152264 11.044908372083118 7.294622529780228 14.591214372791805 16.491262239650982 13.735728999192954 19.615947890097036 12.228105895531082 8.529669640229312 8.400615973410417 6.393532564829932 9.522634002039059 11.96918241966846 10.078143984706816 18.299982341477605 17.02977027680827 12.522523364504899 18.137132554499626 11.102252677619754 17.006219316539 15.464203479964418 14.096251797320301 13.550104756115612 20.63892121190261 13.530042193550699 13.944381294732043 13.817073533776957 18.821366842585764 14.90422943877894 11.98724438344948 19.818490769419157 11.809641287306523 16.923267042722756 8.946406738544834 8.561390884690269 10.935661352084395 15.14107187174638 10.24598873979288 13.071753509574881 8.479310605175948 10.911451016839473 17.778409617964382 17.005906234120687 15.667491350138617 11.335392860871046 11.139579838589992 14.542845550326772 17.23618552716087 10.40826904672782 12.45699865334968 14.87754498172667 13.72864876741211 8.45950080416512 14.655062983093675 15.868040712028082 14.63350225636861 20.47515774469961 13.586971284372837 12.88721834025245 15.897440135729509 13.92003946851106 19.63160149276102 9.796377145024335 13.79111104975491 11.93732942553922 14.259851575944403 12.993674834964114 19.057470340563064 19.845439073086894 16.123677203328008 16.42176790691155 15.066858638283852 10.981776866251375 17.259041717896785 14.869332299235227 9.878250313701768 10.812330156512104 10.501963465417749 18.864282399290683 11.035100195983762 13.02469187692675 13.134425624405255 21.34238543041976 10.079825170103021 17.44241193598979 12.089737804288038 14.992059284872571 11.14676502958914 16.0865161643888
100 16.81985804236803 9.222058270847628 15.074790761013514 17.697926157132738 11.012424961266593 17.71440212584025 12.922335229569716 11.301205834010144 16.47056458090445 11.198623341362568 11.284054744070778 17.709506654614795 13.606379462460833 8.25874580483755 15.71755424588379 15.926769307590757 13.848723206542214 18.243859550117705 12.306801304672167 9.187267044783846 6.972148053020543 8.127239731272388 11.616565890474098 12.655410180081894 7.354250232355545 18.124926504285508 15.564754878483454 12.151729283407612 20.09795685947538 8.484345553209439 16.121750331519635 16.737863973359815 13.662142642706646 12.976130138296202 23.099701349034245 14.388037259101207 15.61844102364028 14.977144035244542 19.299893574183304 17.179008725013446 15.072118458514522 17.551372344704326 12.14894287350591 17.110573991437363 9.099014614739641 10.611552079287875 11.857429298859632 17.97659534926502 12.468260103233616 15.352908191110002 7.72474001197264 10.413930634681128 16.84077440390717 18.893867192062118 14.713188906771958 10.89542962002075 10.323742761790141 18.600550477006216 17.201619772937455 11.669488993898275 11.421233597920134 16.42171213965245 12.065417415288207 7.93129904555798 14.161737800509313 16.36286825968651 14.070091383491814 22.45815232021397 14.682586361450886 12.492612911254941 17.425479123886806 13.882217185222103 18.848175152467576 11.57304443126279 10.925724910996479 13.481715192072494 13.886828745710444 12.577549436009814 21.65908842680293 19.192265290655214 17.762629613554346 17.05943644091546 15.877466410989843 11.399415115827681 17.099989984757865 17.362384847850308 11.824335405187218 10.702733020256694 9.691097120524566 18.33777783212735 13.107652451169264 15.036273804742226 14.308511638276718 19.28021522044546 11.662651593235077 19.23619425830713 12.937154360725334 17.885348603160445 10.05840445771427 17.23986983234006
100 15.689364713663831 11.506077721343654 16.1964634762022 20.27716234978019 12.228184704443093 17.3361953273118 12.709438694468936 11.577374734876592 16.14321230490613 13.42730086493306 13.618258761838769 15.953283298908131 14.065617988913717 9.05814774733381 15.020571743053496 16.743001685767904 16.217829332581022 19.533172410818302 14.769899793424214 9.018044293268375 7.871473953370721 8.013513864746793 12.559183280894144 13.747251235571705 9.602039639376724 20.002805925404903 16.921961631491772 11.492520749045374 18.272430987069935 9.91128628045593 18.317959787434482 16.812866471405666 12.198222646889612 16.176793321620636 23.370942515389277 14.923068507704606 14.448850607060669 15.443367135397363 20.43286643000217 18.31424238808363 14.586375802575608 17.561827686474878 11.718045388972639 19.509754053201398 10.97925991386762 10.574314779389393 10.87345871389968 18.47178187626427 12.477022743975619 15.162406128024609 7.127898937749739 9.699163587383616 17.12377058653629 18.581439732775646 18.338582154497605 12.498383069010751 9.543553907211358 16.799178863184554 17.87576680933329 11.648055186223264 13.685535654739141 16.980067128842105 10.267493271823163 7.407196850105011 13.788430094467396 17.116910035167543 13.221558992205829 22.514242922636203 13.318007113183612 13.043526412612417 18.032013404452176 16.269944366548103 19.208230881331996 11.008956483097776 13.406486110785739 13.73462266725384 15.487160420616707 12.336477927688428 21.645043783526823 18.236501093336976 18.46814971458566 18.33933162764706 15.495550280961265 11.414185723560141 17.81564116300352 16.627346050545125 10.463755513084688 11.723044574622202 10.172316551379286 18.44761253467347 14.450170395224266 16.239740949948047 14.477418754858286 18.011524042336205 11.33485499288399 19.96756515151916 13.689741357958667 17.28730396898963 9.762221927699143 18.22857449600851
100 15.702737305110533 13.288574395506217 17.603331745363235 19.924285183677007 13.980504473020474 17.705355811243088 13.535622621102442 9.362188859448143 15.27176440510337 12.577239201333313 13.752449127957334 16.44583789602037 14.674994153377465 10.145082691087572 14.530684306105135 17.844574974459185 18.892396793336665 19.112950028363812 14.484462968343333 8.969596583111743 8.835107409081045 8.294782939336143 10.919805940619696 12.486646963294115 11.834943824521016 21.705545170631844 19.39502676264546 12.336389309915853 17.054986560599623 10.043290529793264 16.471947508541195 14.934338105810061 13.211223036999046 17.15655079885719 25.49972388128875 15.111645274258162 13.154119785134801 15.730650897081068 20.236434112129672 18.107808625276462 15.50320246206153 16.073948504746237 12.323033661452593 20.422969708516653 13.453688537645787 11.67935145930998 12.887252324309971 18.00092286350873 12.7848117963552 17.31266558405285 6.344839185296779 9.882058484755913 18.645949620150798 18.369079431592418 18.09295213731485 12.927177982209356 10.534782778363398 18.564666447981484 19.19373417986188 12.200734593402563 15.505124621673211 17.58839287771861 12.371215112492433 6.980241806418666 16.625027211325154 17.538138955489234 10.279545115189103 24.512633583851887 13.8360602195679 13.074430055963838 17.33279639275541 17.181577213061047 18.069138689418335 10.84304792061258 13.077152709193454 13.867081525967025 15.33576350049468 14.06661019534308 21.855367993517046 18.916017764346 19.51692108306355 18.37193963927871 14.482608066158459 14.55232696190947 19.237903062102095 19.14792685310121 12.58037069184594 11.652369364591326 7.7554383181064726 17.141799659992067 15.892734438175292 16.385924257540932 14.328304843600968 15.074298937863562 11.888297720245193 18.471980861386335 13.3122831919933 18.566111405003838 9.232107795693322 17.137861063318667
100 16.226962183470196 15.04726126917057 17.223581971993067 21.90858468485872 12.675570818144875 15.965844559793538 11.923380756911797 7.972556302695567 16.142073366332195 11.69106877561634 12.425729969255258 17.226824466457394 16.08463904759175 12.104185470793452 16.08219904459756 16.760126016739676 19.35616217637106 19.826952240210495 14.432055341150011 9.98080699635112 7.939239712496551 8.36657708155902 12.099555540162072 15.13649192422462 14.019654205214511 22.47234066629721 19.685065470621126 12.693511797101316 15.330244443286608 9.607901810720193 15.652885928500979 15.92511102961866 15.005831784827611 18.304041365910944 26.48608551468281 15.470887476583778 12.415643062386646 16.064201908428625 19.46957361094036 19.385380678887998 15.410807303440999 16.142129585667835 13.58947820500686 19.45397458637501 15.115030777833969 10.506011513133009 13.755472807506848 18.01778708320523 14.499883511898465 15.740977679990303 5.354810725668204 11.509330751554348 18.076553617469138 18.325296870269604 17.37187867082185 14.810624979600167 11.640145760377557 19.079247951303547 17.68491485620421 13.318069797160312 14.456175711954703 16.84148803049745 11.369245925915985 7.665429450734712 18.340839635711646 17.92861624524291 10.517993179999504 24.356195552743344 14.413939221090383 13.671332179243237 17.698358909464833 16.08226749889178 18.307228802610783 9.123623794799443 14.216686068544906 12.906205415990621 17.366089511140537 11.344447289606338 23.88269611577852 16.89325924314819 18.11916619874005 18.902974684173774 15.657464010545413 14.695925414579769 20.49640131991115 18.32421163289159 12.630171918540785 11.76199931166707 7.833723189133798 14.999471806744332 16.332677172968594 16.487788068894208 16.114623560719178 13.91008932991149 11.553207308248734 20.063649781219986 14.253011288876028 19.34877896161648 10.621726563386586 17.930110776545558
100 18.821589084165193 15.626251110059155 16.06904629700103 22.673240073725612 12.362264489996539 16.083823783259948 12.878444415456638 7.707256361815174 15.821535236033768 12.729606109964893 12.276176046318277 18.70569164944585 15.020306713428841 11.234449970496557 18.837901112639877 14.947543314220848 19.38696980209553 22.247833458362134 14.92472067862752 12.403958398775636 9.530599934658452 9.179052075186178 12.496685366214201 12.840584802933872 14.094178673968107 22.63512829761581 20.139785935830993 16.298124690970383 15.961303914814268 11.063393268173055 17.433310129108214 16.78602872797835 15.297034620550647 18.295947262206916 25.44860475189011 16.27059796110713 12.747723242146069 17.224660989382908 18.37426986203782 19.881197554453188 17.783639758589167 16.028211515889495 16.237397129131477 19.728666752106637 15.306696199549455 11.277744825900596 13.727990478740928 15.567670413635469 16.121007285998974 18.90061183584013 6.9793687767106745 12.707842460020558 17.821616668856112 19.902623366950618 17.49799922108096 15.676585979748342 10.196072323529862 18.54335221422243 18.27785624824089 14.853530385625293 15.968652795743985 14.942006931038968 10.237507739575332 9.205110747967463 17.560389949272015 19.153750263680614 9.139343689400796 23.961224125032334 14.742202668105206 14.730574226986093 16.458302518056733 13.836966537269905 18.606155670465046 10.450902455589786 15.811854725173468 12.94692233613055 18.699064661143417 12.589815923990866 25.322237149339518 17.062152757816364 16.11814286945093 18.910745761086908 16.03620371220887 15.836526245030589 18.508137680346167 18.172884027850177 14.285616446323358 12.086983778507177 8.155687826172196 17.972657847709268 15.350848473633992 18.317971755205672 17.676837965279766 14.170722066052857 11.99577757480918 19.93128923655812 14.945484224286268 18.585448901736587 10.714184245416861 17.596957856400778
100 18.454897971554683 15.695387537516561 13.426592198865489 22.666391510658286 12.177869706941568 13.941735391807846 12.882746009259707 8.136908252820048 17.890676546559305 12.420734381243161 13.791120208870183 20.62846929553237 14.532143056227154 11.710042187826357 21.183204748412333 15.58577559961959 19.944288351361 21.54520565452279 16.37644498682042 12.92091437876516 7.86203638418792 9.57987316801589 11.566408688338576 13.68308587258048 13.447882078309048 23.08726131351148 20.335519509155297 14.843998847506047 15.571271065044277 12.47351272095463 19.08645274353266 15.724027854482868 14.301803094124185 20.94266302110375 24.86150188236769 16.577510770113 12.38426749348451 17.806053429481214 20.93332662557165 20.516749873210095 19.383091610124904 16.275450687045325 14.981183347701245 18.888792040422356 14.137334016261551 12.19939021404762 15.746399602120166 16.108588105305568 16.1317384507773 17.97580561501507 8.4414483984094 11.562264806515337 16.34738636450678 21.031099489818118 17.32673655554011 15.806636058307443 10.754573424468983 19.7003545507149 18.57674824988146 14.168929887275294 15.26611837126615 15.009501383544677 11.608160378903968 9.918022149038245 17.6739963004538 19.18835737813808 10.034293387752522 22.676656253513492 16.575781836731093 14.510645130668909 16.83624617549313 11.684729696817632 18.38904345432572 9.642285460518321 14.736312813149295 16.663675056876897 19.285165807527008 14.778145445709917 26.00676381252654 18.598626377655716 16.294770549254167 21.10632668395212 17.404532774341718 16.32739853494407 19.010331530488724 18.29351472066676 14.81805054536606 12.5235919002228 9.43718071589888 20.560315708880843 14.3217397567044 19.91608175196916 17.340552420382977 16.42444559702402 12.074617556400112 20.382462453575986 15.198691242648955 16.406034680502053 13.698973380979595 16.542323763839345
100 18.65617634618752 14.85196573028633 12.223429474049526 22.250471458306375 11.984857468610375 12.929281551860013 13.351658721526915 7.210429512792868 18.334095958208277 12.722166811061097 11.159607922979063 19.92046255708286 15.552152819562492 10.888620323065336 21.75315698556139 16.47445101861722 18.65260925898102 21.396446543757694 17.948468796999556 12.374081384128964 8.540646807648429 12.007845542413284 11.214866515039217 14.987714561118493 12.7136019394295 22.648344507644932 21.053431670468076 12.03421443578056 15.191564570075409 13.585115206251311 19.41566399654525 15.262603984772666 13.436998119547189 21.651847815739142 23.849364608934653 17.470508029497815 13.580978821612819 17.511873399813723 22.473198195642144 20.030581157868777 21.031855421153452 18.206585303060315 16.54306573542097 18.781814975571958 17.86927721450542 13.032440581764732 16.362501879712944 16.404568706482024 15.123020618627148 19.854488328972224 8.691193638923885 13.378593390039214 17.983984249345426 21.66979926776217 16.655093380318537 15.931565146034815 8.09861672894228 19.687027376474326 19.68804805097815 14.235809093780128 14.80361245128373 14.976797493702678 14.165067463197284 10.636516771521109 20.388353637390892 18.414697320995053 11.295193244500757 21.922710763596335 19.554569223199085 15.220202991565797 19.805201747622256 11.91731475768064 20.464149306629054 10.562994996816384 16.139344034780073 15.389780825936139 19.980405493197726 13.86365902754806 25.80160850585775 16.779936737525997 16.64548545247165 22.458734365016895 18.29681148371983 15.170700061728734 16.6778700141646 19.26372889567085 17.348130843649074 11.785644917751593 12.932843324870758 20.69071545881196 12.468730396834296 17.873852700077894 18.530703445799205 17.072245353414676 14.569358516957644 18.689585917212913 15.846296156110945 16.68455655820343 14.064111759969176 16.329044100903324
100 18.25367875721442 15.632663619871897 13.209021390623844 22.47421504074305 14.103417370976329 11.918574597147506 11.434836652732814 9.53248408349709 17.330879115094763 12.6363619677762 11.125500725102956 19.128364604972294 13.954045296131847 10.733836976572524 22.462911222360486 16.69909543864757 19.44207390819566 20.640757060538366 19.45692455804712 12.305555142985385 6.619746460620985 13.085528842490223 12.947040841959423 14.809681413328658 14.950532645694556 21.365552393267084 21.99411682573046 14.822342448433023 15.561350155623828 13.712616812821047 19.284573460195908 17.618091138059732 14.558947421944508 24.282151652929016 23.74583596116438 16.718495770913687 13.375232547483357 17.88168194110115 19.829402973000562 19.717369415793492 20.403285445022284 18.55936974069896 19.1229224718105 18.979907069279307 15.456784071483366 12.364863088349201 16.933600966991587 16.801796075940665 17.741966508154654 21.13090525491614 10.799423532508749 13.523491025607553 19.39979808502932 20.318684780822668 18.179082481289285 16.07999532973857 7.193705969716815 20.58703549276416 21.477553998939708 14.04926431717873 17.154401918707606 13.154503135367442 13.305816007348572 11.117551719982957 19.963182363146576 17.58074670606879 12.271953483382097 21.120368305946812 19.10748308889591 15.96492922925175 18.884246870952836 12.480981156818043 19.539464492749854 9.630867585805548 17.31025774800448 18.00141501660183 21.532171751905924 14.808649647267432 24.485321624878434 16.69779083876783 18.428746412962354 19.31678994935331 17.919236682714246 16.63258681838404 15.51226597988177 20.03543029407735 18.07225319807256 10.431302162984155 13.474178176538233 20.005901310879715 13.800991702788965 18.89785346055427 19.12796739953762 17.5575538855692 15.26811878928298 17.172627045850152 16.210408106423607 15.876069460796627 15.885257304603961 17.497319170155702
100 19.2348977749131 18.326948643016465 13.267720668549634 21.64371405464253 14.004631314514944 10.437899604503814 10.019093198202366 11.112655562524786 15.807087717249825 11.633416075463995 11.72072357486124 18.683461588469708 15.511813031368256 11.381678853291868 21.242318200162657 18.163561933847756 20.4558119189182 18.759286410298838 19.98720308829651 11.94496588821285 6.584517202016601 16.066739592800015 13.674187997405665 15.063059677423025 15.53378651899123 22.43257920217678 21.07495443967311 14.412166842505439 16.69300316005951 12.133031697724295 20.58865880542632 15.576998111864821 14.72241276307886 21.85139054723128 21.93667024011454 18.5566112836054 15.274991766929155 19.625624181488675 18.15891345801608 18.664711060657588 20.855558321975348 19.501168641050306 17.93754407638371 18.332746590026385 14.254719423618866 15.067388636815998 16.49115336375901 17.074847902543826 18.131523373861512 22.496790216045675 10.254388481210338 15.437598260186238 17.615934618264387 21.76083885292082 16.08413809701461 16.423302394530623 10.306774357930577 21.546685484131007 21.86127443877881 13.026215773610609 16.321770434810844 15.357123820520258 14.649007252353789 12.877130352610584 20.14595802453 17.31047924397977 13.957526359408144 21.40975068412298 18.939625884160744 14.433608666958664 20.144714235903578 13.677177707438348 18.741232387733092 11.840227908295685 17.706471940200334 18.515150483518898 22.721360915381972 16.09408144047692 24.5095401655748 16.735759275072585 21.259447529300147 18.43748153914042 19.008189309318006 16.89392423258356 16.492207900421267 21.790013873595377 17.834125552678973 11.828447630849405 14.185258265556795 19.337157162934407 16.086952028326323 19.889351581926807 18.59186715734174 19.32687750054962 14.441034835599236 17.263270257123327 16.008924610751123 17.131061192245333 15.578268417668387 18.659847428473363
100 20.030326688611435 18.117326318031242 16.165109792271412 20.618231522229472 12.568584579113834 12.319970455782647 7.948563694839345 13.75095381495002 16.376714949657963 10.284839388972195 11.21954214251353 16.69366044316921 16.317033909750275 10.214280963868624 21.799994145511363 17.862292905104663 19.82515060487134 19.52645297267285 20.971133191725997 14.075296776986287 6.760605364916796 16.372740355220834 13.39537424149007 15.82967402378538 14.981413111925855 21.71835256369199 20.59871415731289 15.128038558427214 16.901671505713843 13.342523316036825 20.358920522493097 15.041219837762098 15.476112863876178 20.48194828653576 22.358103014457683 18.195695745899627 15.965575596282754 20.03279300501367 20.60806037645239 19.584711722339335 20.924526350699587 18.535917161563358 18.921959796924984 18.14823894795677 12.659554022454278 15.177255136690423 16.96459445331119 16.23769479463762 18.247170577937183 22.214153036564714 10.971069964977271 17.308753408858884 15.928036303875754 24.206763696821934 16.35969503853531 17.66371995094706 11.289066982605007 19.280585453681965 20.2799972151084 12.794254654152914 17.8141515519122 13.863679440697142 14.20829426148327 13.592478977224884 20.838791633004785 18.011438265886902 13.278531290906352 19.25711828828256 19.71129703903803 16.752890661538224 19.613410591889057 12.760268784216214 18.23760456915 12.895870390860555 17.455699659994924 20.48593563520562 23.868502551115405 16.674137097349565 21.583004412116082 16.136671662570087 20.58329132708561 17.619774887040535 19.29412272292666 17.54482501443027 14.652294268862772 22.85307617086106 18.054018264647286 12.837839676262654 15.487513148875648 18.572538729851296 18.232742992417222 19.694864623948412 20.633478025607545 18.377675032104666 16.651659651004692 16.218301446976675 19.721796283713235 16.08862679207443 17.317168060849003 18.282047537596874
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34
Frechet_distance/test/Frechet_distance/data/curves/generated_100d/6.txt Normal file
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100 5.2997283047160675 6.4628868557264365 6.752687280194346 9.167015331719927 -2.0126469927640382 2.017306395380139 1.096697128586366 7.813975292782499 0.19505439435940852 0.5517182872450781 8.364704996316362 11.266618891327418 3.7545119015427986 7.248827003351652 5.166986670914745 -2.1027326820916326 6.229633652189638 5.658735829187594 8.528786727149186 8.559647146256502 2.1228808246842776 3.496545389647143 7.8790526303009925 9.67720281245416 7.316478601134553 4.373230919200743 2.1575458736506317 8.036759980056889 8.388470608916343 1.7493753352483243 10.168898163562822 5.42190418661799 5.148434586990308 4.01700720263771 5.562001441916586 7.561193139603501 2.4486668983357576 5.391399787328368 7.508860732242198 6.691606212436376 9.530978525506391 3.699295406599608 7.49020353270498 1.9981111750188223 3.534474534056713 4.939006818448183 12.45550388343332 9.961632002586686 3.6106591361298124 10.39059881025614 9.435659928170038 5.292169642051183 -0.6856288608808265 9.323923604750444 7.680802212614355 2.743030860289795 8.742779128692298 8.777725123987848 6.677897381407271 7.155888745340107 4.5572451367524724 10.416181226580965 7.9398320951031485 7.273871348666697 11.31733792116338 3.609161642218964 2.8275188655313244 6.13529100104612 9.642166467016303 7.446423271156209 3.746652524764249 1.7169996679610422 7.53073548767488 10.350715842659683 4.984917060222493 6.531386736617467 8.430385299992535 9.225409697212584 6.083214933927167 6.111558911421593 11.71546269272526 9.485373421196698 3.439755642219949 6.592633177195305 0.8599287745123374 6.571402675968905 1.560940748085431 5.800801058433088 4.517148910770851 5.23945988859208 10.036853755636926 4.511516320348721 3.639555663409132 7.5083941461554975 2.932466553979957 0.9695189396214248 6.062254467208334 4.398235178291786 8.226899111565695 8.151351820400654
100 7.035827991059213 7.592267612896155 7.652138140025706 9.670485728633096 -0.5084777098657589 5.48999773780379 1.6064171403388725 7.8886141555118385 0.5975369798211002 1.8612301413918342 6.176148592632311 11.513298497845055 5.6219086033647265 7.072390121634569 6.106747068862733 1.6394034202067633 7.317881123336674 3.4187699321320304 7.328853723211324 8.753049033627802 1.8505918091175548 4.412497981451158 8.075477848750268 11.757657289992991 6.5407342643437865 4.854878322248088 3.362013582680817 8.966722907724597 9.082710318319098 -0.5892698518645032 10.712602275927042 5.823110838593919 7.003867232492304 5.689745034434822 6.460030705682622 8.487515922870843 5.045401904228588 7.6198508174984 8.571313356092144 10.279010960847565 9.228358614757518 2.859350872635381 7.9308613904222724 2.3690546690633383 1.049079718622488 4.769008469517728 13.217315731601126 10.346416319996624 3.4313139217089494 10.903891557561263 10.079352904162084 6.845714963065467 -0.6552758760691776 10.928962004226888 6.834977934340998 3.0018247596463707 11.485063664037465 8.030395959038113 6.413298990536303 6.054698917548819 4.144348723876052 10.999568165632864 9.550730231115553 7.794057226208993 11.351602333060448 2.70415400054487 2.740715202390184 4.796261787214462 11.073870607402785 9.078065348352277 4.413312329257824 3.171737201287008 9.224501532979314 10.858482835870078 7.42019923495423 5.839884960271991 8.6132484887541 9.130204609637143 7.56730229353318 4.913083184015662 14.063980647024485 10.72000560636685 6.463515475112787 7.233141290020158 1.0643368798812753 8.145954295617985 3.7728581262879697 5.460788360238145 2.5602283012585167 3.65481879298074 10.94654713542068 7.226138976278708 2.6891962434231753 7.826365153323482 3.2092891715697567 4.3005717334126725 9.68847207825431 5.6546328932992616 9.943763816808548 9.825991446937739
100 5.979980026079721 9.188165195481918 6.906537397251462 9.998275178687758 1.9146248566432962 6.290162426520663 3.8768749257687585 10.147098958391314 -0.6864768241068533 -0.194301741140261 8.38892772051228 13.505596965081011 6.619340448438851 8.12131989191067 7.950173793624355 3.6384123249743303 7.555995708780922 5.47180453304866 7.598299915176883 9.603252263074214 2.9312588830336366 4.06715521549204 7.70537867070453 15.150379077353971 6.090968424052253 6.097433465453035 5.020383083862652 9.359181385908402 10.447751640863615 0.7842415309288695 10.009706754884995 7.125378278822332 6.970153420026624 8.636755435169047 7.585251385030899 8.074622955439255 6.239940087646799 7.074763924292888 9.590716481678246 10.64474509568986 8.705289912549976 2.541648910793425 11.549925124516289 3.365107371986005 1.3609203391010887 4.699429360193982 14.12195161048845 9.978465574019456 2.884357399198897 11.315538324726464 10.501386084648189 6.879710684079997 -0.9123549109515736 10.832452710821196 6.863395050045877 3.1524791454635177 12.268243980176784 11.570857478169575 8.775855133596338 9.18446169506831 4.118772401269975 13.569816891282297 10.491046971484623 9.619789839578162 12.42178207695112 3.044544724681031 4.577279605549909 6.192920786547076 9.200822604479931 9.447029083554453 6.266421023178672 4.38177649231832 10.331719758736359 10.24993046548904 8.28601537922507 6.4164973391786475 9.004512374281878 8.787686413715107 9.355723115532408 6.1164540484539645 14.754367622617673 13.852737319491787 7.713870870719704 9.486889134382126 2.37026818092518 8.362646364560748 3.19936854326893 6.406334393110901 -0.13815737982483567 4.911270958028634 11.907640599811144 7.555185460519318 3.389455282039655 6.8865296342589115 5.759617723097075 4.571410183636812 8.968685489293643 7.037611649010129 10.578092921377287 9.846206438458397
100 5.997907724290553 9.754823689677302 9.236032524101816 11.111948139571638 2.644574616020746 8.0155652922691 4.596268946823588 11.101286026011662 0.509989227475818 1.396550100956017 8.370605979152042 12.336839213239921 8.377164738423803 10.536832319762713 7.088314266773148 4.591145084208706 7.557732616329523 7.288578539700326 8.583988003386404 14.39205646890466 3.262031054856024 6.807909651406851 10.408050735980094 16.147862285725914 6.827673024810393 6.880375338852214 5.808800027810083 11.250097066651124 9.71373863604 1.4019659534920919 10.078311719314987 5.390301706961887 8.722934584074213 10.527041259481656 7.243009928113565 9.900740552329012 4.83170654651723 7.7494090488904455 10.0237202321771 11.362305725299953 9.355943551609165 3.1840468661488437 11.306550702047225 4.003578084864876 3.9404156872331915 4.624843441583421 17.287253798439295 9.604497120739579 4.045946344486346 12.466237310488467 10.548773178372404 9.21739563931307 0.6566698471297748 10.957989054654398 9.246009923474382 2.7114406856267017 11.89590329102547 12.747892530053239 10.303326485818454 10.029746614839295 4.625016952622766 13.494898834983609 12.52553192401417 10.359891841165155 11.685883642298897 2.5603026632045642 7.308536093483538 5.915475271013829 10.041878697774084 11.68532502705572 7.5626673421785 4.140594911716324 9.42808830656013 13.055312683348289 7.394080103055738 6.331250029483008 10.08789377284925 9.027519606501285 10.583331395780593 4.862889069444073 14.799663508136325 15.029085835889916 9.138867775561348 9.291455716346933 1.8771255934747033 9.266485304308102 2.2755231414147623 8.626963968784455 0.9094720287488162 4.796776043583886 11.011245035612413 7.292912851171427 2.0987626956139165 8.219096044078967 5.303698731174548 5.745996330086725 10.21241003053359 8.865035387396242 11.337805815056678 11.765477154990736
100 8.456260333315718 10.670327266439884 10.150584394640596 10.86564174836276 2.1449108678655326 10.251552393624786 6.072124618209556 12.405095775520019 0.7420667386806802 4.302401064410805 8.665862500293038 11.681777825808535 8.158558887131658 12.94781699205021 6.275824579752966 4.329884547991219 11.945000431964905 9.130894394937112 8.286833827403454 13.243519930131203 1.8360969646357863 7.58642120177036 11.834398853405432 18.395304003954273 5.058220374603142 5.817338843427875 6.435289441346531 15.224100545082337 11.324764499016315 2.731671139111601 8.943337316023197 3.2571830320138204 9.361453934169832 10.844070508918145 7.421763520685119 9.832706333925634 4.615602231066941 7.126608035506301 12.44089460890979 10.81352446628539 9.540268790555999 3.887751363643134 12.512426282407265 3.6902964045541355 5.9408158365973245 4.59204753549455 17.16992624286221 12.236700125396956 3.6284088447729927 13.779361895525096 12.303937298437313 10.078724831253318 1.3379046178391565 14.129996399604924 9.74709842570249 3.928372800323191 11.860385652276738 13.35871437385613 11.996258539258912 10.081414243316063 2.5699660787407423 14.432785729784698 11.621281158266985 11.740818153494299 12.141063851136566 4.576625661738579 6.751144980522639 5.928300547160675 10.073755539339299 10.15975348842816 9.57042669769759 2.826251291282412 11.339497074179798 13.867029387626744 7.667297897812113 7.454900371738968 11.082264982507322 9.050168357067909 11.420943337674446 6.566919523721233 13.906723257763081 15.734508352228007 6.226380668603248 7.3731263103588045 3.5185937815013495 9.34179642296862 2.038773497376579 9.033253416885918 1.2358375410808677 4.354510963761918 9.426069502639303 5.340345593173475 3.9047251050788594 8.334529752747072 7.208213360650083 5.8195727329040015 11.190035699016882 9.218080241845207 11.816117257957485 12.276177547495793
100 8.419934770082696 9.613268378974897 11.607789986466601 13.433221271895423 5.119636018870094 9.998209285280094 5.742719511901987 12.036078660377335 1.5134781158937511 4.8952269564419595 7.9532578652107455 10.182059157966735 8.76740843530544 8.612448450681688 6.823974012028399 3.837905736148631 13.369881490582298 11.028315294112303 10.3573526976115 13.109857019883375 1.1875881348185835 7.148897364785926 12.623597812318021 16.421360016046997 7.657410205789516 6.107242321073687 7.845552099380577 13.066991289557006 10.506414393177224 1.043650245652239 10.789298246286114 3.783702112213029 10.667494561836312 11.362227928586321 8.554909509514323 9.82876880620216 5.126998208437199 7.693485003850542 13.467217674982676 12.012835362149103 13.735592909141845 6.802365130097358 10.431776282851555 4.322807451915082 6.052077408398602 6.986818837314032 16.859420208217898 13.212764480357267 1.4628122218198616 12.127390710274845 15.39196337207072 10.565407886588066 0.8499673796311022 14.703110222331459 8.878505924297073 4.462671949423419 10.38027888752045 12.722502937387844 11.81642312955217 11.950019736210061 3.9680719220923057 15.490107493676074 12.135466821673504 13.163900909703392 11.44523451642057 4.324320967543446 7.991561910354195 6.281472657965907 10.533517887212037 10.427315940217449 11.670585070476099 5.395870660444568 10.921987336399837 11.802275828687625 7.266735621759521 6.916333972000131 12.70262252740272 10.795101941763303 10.494536513095316 6.264413607737445 12.366856568978426 16.132817840527817 6.818564091507041 9.090130534482729 5.002137686698614 10.756901993989397 0.928477121615428 8.679706869038895 3.30406137670069 4.528632451120793 7.939938323511812 7.099628497697448 3.9207118406526194 10.382548767923664 7.742133732986031 6.0988468477249125 13.436195203429325 8.029235535995358 14.08242740429558 11.814116643381533
100 9.187582120424873 10.442755769069363 11.4505205604376 12.820207209238209 5.3248425288613745 9.167895997361937 8.946898654593301 11.78822184328302 4.00284104942557 6.876000829845812 9.058079469507055 10.51398421878071 9.54435703710486 9.833491174700951 7.62063830398328 2.5778114236642726 11.35404700381266 13.441744683458333 7.5207395146951175 13.694468729836473 1.7595899077721675 8.014676587936966 11.526242386946906 17.145553454605956 8.599239499419067 10.41716781101121 8.720080966614672 15.090119404703689 8.992893135132507 3.260796335474317 11.520333808006125 4.858481929426087 11.546007733704613 13.999525848564788 9.365040544237944 9.253670305658304 5.093261585202134 9.42814471429302 14.507101301043907 10.61425550257322 14.74609956361822 5.993184744558331 11.342653930545751 4.079946382279433 6.33319847073866 6.904640244247776 18.95170313703123 14.066653778462307 4.1022591248193905 16.296567223517798 15.673751927696525 12.923971017454715 0.7926037951124919 16.568588108899934 8.3834599672583 5.333962458965337 11.569566356646572 14.054410488769935 10.540287339649106 11.149627457544582 5.504677870471088 15.191120553785344 10.852546449347214 13.361161214915299 11.77467635224373 5.282207913712457 9.343105626513132 7.60051669238727 9.999826382242068 10.371064102591584 13.252065747929347 5.451867165245618 10.834335149607965 10.178224756947184 7.785188931935198 8.033160060545159 10.603798911222523 9.876240686648673 9.115660103207087 7.9973570063003905 10.34915123889868 16.238949653920127 8.386591627937037 9.954088282922037 5.210961152255471 11.771462991826931 3.245762128235337 9.028116845193953 1.1421936669674384 6.904969947368516 9.17808864593343 7.692428080570038 2.128298121194219 10.572840779325418 7.147040361614833 5.157046967715793 13.630248162574045 7.907582716418411 13.76798748266257 13.175842874245113
100 10.113878447526519 10.44590587851165 11.106864240810832 12.69733644080522 5.777989288938185 10.535271271718296 8.156686305753222 14.131483760713962 5.746698025058744 3.942846113909295 9.831342888823398 12.43073378889617 10.607030201207875 9.774416055429512 8.259156548004043 3.772806441798513 12.869572143568387 11.98124136131461 7.572361344538502 16.169648576068614 2.7757316009778736 10.704223933091054 15.91171363401543 16.771909579630226 7.761475669081354 10.650256922122638 10.90752296070443 16.894339739090512 12.532148712928056 4.107104210101064 12.61371807140061 4.701695570150462 8.821054408316552 14.276728914927622 8.367239731812017 10.632587708987336 3.528922336455392 9.138228501724141 15.320656642484291 11.856591577634987 15.01784513849788 9.152904468649261 13.72172927823227 4.126690622642975 9.151245396697139 9.918174769421512 18.80516771881967 14.45665885826993 5.031138334082379 15.68298428723848 15.201527233962025 14.968883428983881 2.3414357471324623 16.00926077022542 7.844274042558471 5.324865220560948 11.851547611015908 15.65728675203262 9.929310422474826 12.742592002874593 6.522837846731509 15.599342064160378 12.871862901038483 14.778189325532647 10.484983384899756 4.652564886093925 9.72783772233347 8.805784383025268 12.337651410707222 11.006831121593011 15.806278104646406 5.403939040567533 10.629002197027651 10.254458827161388 7.330238785364487 10.242096151546486 7.662009790740967 9.816283419911024 11.225941103898206 8.303587226897838 12.397117620022305 19.32883592592628 9.128796550349515 12.134712327694674 9.23916054582528 12.882720091552176 4.161343446746389 10.741226895210223 3.664732516112603 7.7317763137057645 9.300963010239993 10.620017467487934 2.776499326155463 12.776658063288131 8.145731693397725 8.31949407802335 12.941261103283098 7.467805544695124 15.237143296471979 12.08696177498582
100 10.81897831390695 13.121230918926031 9.283240225241782 13.70684453142011 8.119650076373315 11.04347662420353 7.576458717304309 14.10987366979409 5.560723017536713 4.846472204414364 10.103990433142574 12.227650919714083 11.720907840939196 12.318958497943628 9.382566515478436 6.435051967823771 15.359958411773254 11.69271231383875 8.784539353421795 15.824551648425917 1.7853061767804144 11.728109711169632 14.801632423207849 17.695789097055467 6.523835084318927 11.450726041918482 9.513333173437575 17.862288021074715 12.411728566016937 4.3357454161590825 14.48348571727249 5.0795218668088715 9.672423029887959 14.338697499441615 9.599551108127855 12.462519044449731 5.609663352705494 9.23567905975033 17.321033936503426 11.368281706760962 14.377884827672895 9.550037303954934 15.28916380340915 3.561182828837498 10.887071928313562 10.409167652599553 18.264827719151068 16.19961299540249 4.95120885231031 18.92073108725555 15.242447757240056 15.380767750924235 5.259312177068791 16.435839567396396 10.10184581225529 3.785759212851279 11.766219879729292 16.50416231039212 11.890234695684402 14.080016692297514 8.121775673736604 17.1824392687182 14.072366657201894 12.23678581275196 12.984650262998587 4.398647774325186 10.812089855782151 9.730087578823987 12.838611968160633 10.095693833615854 13.482902008782359 4.9949463935683855 12.220362491939175 8.854145026049684 6.834442110902168 11.373667755119056 7.174200327136222 9.72255397008192 11.840151162772367 9.382015029016364 11.583678965134952 19.568406284006095 10.256317795167954 11.027670412323726 10.185275891414765 12.488104358820577 5.269610527435885 12.132933066838168 4.293209648369771 9.768450621897157 11.091376942690506 12.3390741305354 4.285926091359506 14.745154640592643 9.259967600034896 6.771691840811139 12.376711378851253 7.901289759501666 15.4039674343785 13.005705139247222
100 10.239320325193399 16.195360763038714 9.703918243247086 14.08858064629316 7.823860886268387 10.20846867170863 8.016639077084287 14.440051189049036 6.286728698706781 7.695432275903343 10.504851462526402 12.55247945597404 13.186284309963519 12.409936902783063 10.662298694599611 5.46785480506251 13.974452703186882 12.301661134093399 9.201747769603076 14.981558158487353 2.8557513393185303 12.459355136387602 14.175017586179429 17.24126776376938 7.592027845676664 10.610194124064616 9.39731001858163 18.58839929699103 12.745715464307644 4.4964575899265835 13.580109949437723 4.4716381781056525 10.103611843792462 17.26245761913652 10.793595171053248 11.065634095453115 7.328388864136418 8.889442670479061 17.59964585975897 11.273645090985232 17.34025911096726 8.570688972884955 15.801609004622435 3.5770436268898274 12.282718345388524 11.279562068265886 19.946492623497146 17.328566487443986 4.937367495227138 22.781122114299365 16.210352628596976 14.841699848818575 6.205167829314035 17.414300177994843 11.403374543015946 5.430595739753091 13.476562382731196 17.890631280293828 11.19140535112037 17.05705932512627 11.255187717933886 18.324963683404604 14.592334546106231 12.671106253709874 13.001588498591643 4.925287008717341 8.530994743417773 12.301216416131592 14.745141815450307 8.448143525983546 14.945942140591821 5.826775912394291 12.349888247255572 10.0108439486203 5.1902479706037115 11.837135528676455 8.08123029356225 10.393533680301621 10.494857755517632 10.55663330271214 13.507777212740269 20.13665637945365 10.455845602083611 15.085771716102808 9.54360306026358 14.007209032789872 6.394431048435129 15.087913046774942 5.548348812519132 11.218566753785444 12.351070116745738 11.364471910505479 3.9783066640095877 14.77326600886062 11.006974340744993 7.726446468634101 12.564922440983729 10.310980290567263 13.074714853314575 11.687475277667158
100 7.5432560044763335 18.09185385793154 10.161118635975141 15.752058181682736 8.33173153641604 12.103263859808534 8.48907443086256 15.276427437776851 7.507048410406289 8.730801185887495 13.291409561423624 10.900575154287456 13.455544797592715 13.005847966410677 11.28421516456256 5.771332030004689 13.6544776862817 14.748759274106899 9.873432825190097 18.429959056735168 4.480021914318174 12.543665800366158 15.255788555555682 17.65118456503421 10.136594064044488 9.676332594354252 7.797124441208977 19.04974281414893 14.212883516058492 5.71584850266901 14.804887195092087 5.969201206928114 8.814748853717743 17.77323727513268 12.937854940847089 11.74033276016528 6.400840505092269 9.178710924833952 18.61962294862341 14.349877485308344 14.986630236115143 9.64161180676016 14.674322717486081 5.231354116609423 13.441763310870783 11.461448906384506 20.723569269400198 18.95795568043395 5.698565760639054 20.890039116738883 18.27603996987044 16.144994100981027 7.626807528713495 16.631856479444966 13.189945871678109 9.08574907602806 13.71564033310637 18.21426546337476 10.290392925271725 16.204802555079624 10.302300626184461 18.538443861836384 14.633956430002236 13.52693448986882 12.32163987962589 5.531576848208126 8.04313264078943 13.031149061377915 12.922581620986072 9.326903930368296 14.832757191774125 6.936665749267812 10.620411649523339 11.359722210585884 5.581385220953893 12.616617735517872 6.478437402514475 9.359829029321677 10.54202487287035 12.92666085955492 14.678774448206665 20.31430015797093 9.788398544620648 14.024228635422407 10.556205224094562 15.39174809068994 7.486823556947646 17.507179584503675 5.412468215783653 12.099591250032391 10.736252170591952 12.136951552106584 6.808803307567208 13.841804625451042 12.54957524413045 10.25847713761549 12.158664760396428 11.462001720779986 15.538405932925784 12.467303250876993
100 9.328717292894023 16.015023898645794 11.53506384337667 16.756375374746973 7.274094717296691 11.335998940829898 9.92932619643644 15.155916090382677 9.818582950485279 9.709971688423522 13.82844969021772 11.278746371014293 14.203978501508583 14.37567578573385 12.539796643027909 6.084565250888678 15.689530709090748 15.94031933813055 11.15250662574097 18.629414121515918 6.034608736989275 10.652652765350243 15.890147223717795 20.04578640544207 11.120537170058515 10.47252164800945 7.921625848683302 19.652350694872094 14.275177244590234 8.251713249965587 13.98104675447442 6.161528887041643 8.79925968473696 20.281722152504997 13.019458708245153 11.470193388483137 4.5759433081731675 8.753199051125735 19.55933639240832 15.632561786927177 14.493991463883582 9.445563978052004 17.254964002859033 9.700278191659683 15.287161891811424 13.998392298684237 22.929572815140137 21.891657715378443 6.306059542109496 19.704568774910864 20.756326516842186 15.051329176776546 6.939595575582239 15.498937386478026 13.44878877063479 7.348310979841488 12.26399801565365 17.60049851763751 9.313263954298808 17.729670977286446 10.849155524051131 19.32164148368215 15.760196998880925 13.602694461492069 14.165162830402442 6.966850522227902 8.468616711501307 11.318204949196046 14.037615495964344 8.364200907984921 15.602255071371998 7.908924881733719 9.412140354401616 12.144857246871618 6.643329681423192 13.355014453432412 7.662341082330553 9.20325341504603 11.904195195787027 12.507293279635684 13.729242640942225 21.18946877379841 11.622655591535004 15.284897125363207 10.92438904923715 13.291469442872812 10.225872930547975 15.022988921970537 6.990868365632475 15.483332732483433 11.663927605642868 13.001917233667355 8.111054502583507 14.613093731598282 15.988568123408683 9.709201848655836 11.452488011391639 11.547814363883273 18.08547224062677 12.183999961174242
100 10.531101022459685 17.76572986055552 13.053173492038 18.345314426305563 9.844641929628818 12.267089962107697 9.893263600769243 15.62543640462348 10.089920884490311 13.496118525991625 13.561492550855059 12.477226593568574 12.570169142717427 14.784856736328106 12.643706072124687 7.798441838040327 16.89318520589888 18.040640278071283 13.581724794262866 18.6101358973631 5.60498305579233 10.182558060259229 16.561369090903025 20.35962476544923 12.085284871204687 10.4079828219376 10.673119358894718 17.662206656419013 13.816646646920647 7.517466175078719 14.057558160089195 8.54312287154611 9.184826000634162 20.37760016843725 14.203124324531075 11.48967150635059 6.073359271712785 9.858404490519142 18.28107848261007 15.544089012086852 15.33676706714671 11.697826457234273 18.918920674926703 13.096973175981168 16.1491873058603 13.806066496435186 22.611127370464565 21.61271651813587 6.7283210910480955 20.233967455002812 21.25386225576001 13.752983992501155 9.041658186298106 13.355468271348165 13.568951289418028 9.786733133598313 13.552946579163363 17.36869315627305 12.506759895802055 17.20367948123151 8.745379994024633 19.893500094932342 13.890712736941657 12.858447882690328 15.412145785921725 7.116827603386859 10.028280867868812 10.392668805412773 15.517389638347426 6.897595178259394 17.54049113132654 8.091319868642934 12.03406495864765 11.44771954967367 9.884258044589671 12.543955503256607 6.239178155416131 9.954398624117825 14.010008235914928 14.032063364589742 15.744437057337926 22.18602698160028 11.051716945469554 16.669909128647017 11.653538490588623 12.918668379766771 11.091459292187642 15.163590642372172 9.54103148216019 15.234850606640999 11.601907598585774 12.52097781434042 11.296454229372259 14.237868976588889 17.836934674282883 8.94494366489316 12.703826322090015 12.390553791807884 19.80936125157014 14.079166847040748
100 11.205250741229104 17.315625000894222 15.575629361564012 17.682548657273266 7.4620404034924555 10.323068878263763 8.354699998783392 16.648601839629766 13.66448757748319 11.113453941161389 12.987033059600353 13.08821798347716 15.000321449084915 13.97144879234378 13.882862046272004 8.201381929459034 20.498087296497975 18.35424220320699 14.581668006659335 18.787883319336757 5.892042485899599 12.052948511943864 15.290165792051155 17.846067642491256 12.459183520578359 12.10411917317296 10.62820359611122 17.954753089735007 12.56816295626545 9.612109299591017 15.248774884817408 9.180089081837552 10.140303148103541 18.52380582133107 12.695226075195631 11.785758205842393 7.647660372201364 11.302316529242924 18.082110679255933 17.034398670825478 17.5127503630443 12.02621212845096 19.214577260849552 13.285294270898188 16.161671334592008 14.384037589908704 24.60993331730912 22.689019118494702 8.727947565778466 19.642217006799587 19.993903669520293 14.569281263742582 11.213823264113815 15.976093062212984 10.782778920002475 13.758226746897062 14.513428544628939 18.797485953065273 10.677633326797157 16.97512026798443 10.447445733802878 18.313443666122197 10.697214375439835 13.678687774832415 15.706478486033257 9.731025744071344 10.527546219920556 10.919114673504879 16.694958379553675 9.066371581092826 16.720820548334707 10.108902537122349 11.822146140759182 11.909260311240045 11.290887224185838 14.12831527232747 7.652987533742273 9.198078342343631 11.947710540986908 14.188609333233797 17.383577625099203 22.65043174919078 11.898437061839374 16.962303288726808 12.618419281419685 12.200399476218724 12.68413024612877 16.468966310494444 9.628102402398603 16.240010787932405 10.04315791563134 13.213229806488497 11.642272685357073 16.359390713316817 17.624476400996738 10.699737828381663 12.709573171934183 9.867378451959695 19.52779831455189 14.695928081774685
100 11.97795306052322 17.835070594066412 15.192327366447858 17.489220865028805 6.784209338764654 8.380951837262499 8.939247282956755 15.88196903389208 15.58410717224345 8.73806316304468 13.891594065056019 16.34760441358892 15.056185893093046 14.255982153495456 14.868430844703143 9.628813325555573 19.95344369535172 17.159719992840113 15.95108924692035 16.36997052489897 7.861269902256313 12.111680275150238 15.641113193396585 17.435063673381045 14.918397756277455 13.008382485793764 10.992876324628467 17.53459188113755 12.83390850526892 13.365871090963712 13.831318503793074 11.214941809091677 11.620889911270824 20.608013779934268 13.887512144710229 12.268884957046879 9.859811379316522 12.280693973598892 19.377004381677626 19.36009103979528 17.84316642574705 11.938919065783692 18.23968706489241 14.36146995850076 15.213214754816683 14.281795130088732 22.976696527036303 23.150409905909104 8.629171119727655 18.008488715297005 18.535997612430656 14.110506447631602 11.048402090379444 16.53851944854692 11.207905523569602 14.832698994769638 15.492002234418633 19.932364797151127 8.799779719095492 15.612818096848502 11.74504846004311 18.639930486634015 12.805417343351067 12.036296188476342 15.46264008449883 9.977348188142571 11.485997478133918 11.631132619077368 17.520137880272525 9.672930095285968 18.673467695430247 13.034635303089532 10.895718161195415 12.41912213504379 12.81771565674604 15.312583351556361 8.122790822105882 10.293988796928845 10.437697528800683 14.593102472522014 15.784785256614327 23.1465500802078 10.973208833347403 17.48507450851847 13.584696966143474 12.979314074741254 12.387186185880834 16.330157494514264 11.760258864970288 16.0981771458693 10.918083067937221 12.944506588691763 13.514638747037031 16.84533126635927 16.696336245221367 11.2740848651624 12.960596099795406 12.345773232251606 19.502034328262365 13.251941740155189
100 13.16676640320913 20.433647466250473 17.060219848582456 16.304476918158674 7.2964610077907786 9.155992398241919 9.620496611670125 16.641202264143523 15.532201735171318 8.195017243273053 15.607982840538535 15.171350700494589 14.312889582581517 13.064663449010089 16.039420225648538 10.462332045089166 21.12705473137423 16.344904091478906 14.762316564540958 16.031152013102478 8.399914440153399 12.966517810930013 13.787447948247676 18.36838806168395 14.198617802138944 12.701956426795663 13.301857053472835 14.762481517686247 13.707892070631255 14.169993568133325 13.173352983498955 11.136015103090589 13.869039551069664 23.09542806294011 15.573194270316193 15.18073703670264 9.718275538686454 10.85895029939103 19.539661700728292 20.724276708633216 15.62549885820631 11.220861690916927 17.107071490587757 15.254761598248582 15.7768843208161 13.645818363825814 22.939638820273203 21.422864428957347 8.990581800283866 16.521884369407072 18.430980940839657 13.396010727221292 12.432213848789548 16.707582833849777 11.539282067328132 17.66719714164375 16.32605183261049 19.550332606268885 8.798362026140278 14.281654751727817 12.161932486697252 19.069783209913226 11.031845094416848 10.758156179204915 15.195682384172795 9.184948635346608 12.240367746406708 12.504634218096944 17.52454306206623 11.12570575174968 17.94720286535728 13.516613219578263 10.202522225144515 13.218961093925778 13.312731827726775 14.107091681016776 8.9212136343397 10.95652032632398 11.478393754177697 15.421477778176724 15.271723450007434 23.93387915377167 12.262841575577538 16.826903734877643 12.599741596061595 12.78403572352014 11.037647795668825 16.749742458090637 13.762714566576161 18.380359102377106 10.31476476432675 14.457094037718553 14.054296477078596 14.093461380835524 16.39806780880392 11.240208219060236 15.100037182900577 11.726183185408868 20.269287632455757 13.581899154744367
100 11.770142892179983 19.81140411934384 19.239941986886162 16.433529664397764 9.349063940868765 11.067819637889546 9.734125047697338 15.194969197495388 14.458259023395602 10.810158336797958 16.18271002587443 13.3086305745428 15.771304436113661 11.12674106918743 15.274206050594504 11.24191007077392 24.34080632324641 17.686212232460168 14.692643368338679 16.346501238718087 10.377583918613164 15.36830279791787 13.960395007759832 18.342993389936865 13.644016668459464 14.157753895851444 15.290562420470069 12.523354510394267 13.60786782765221 12.94475230536759 13.850805586438094 10.06540765073809 12.682620572897157 24.29828005673725 15.549426097158083 15.369316184712519 11.093478844553657 12.900098256218032 19.22821873587626 20.44237846519648 15.489965677478214 13.197411446738757 17.027730667697018 15.264196761780717 16.526169656194863 16.469213984261934 22.751750844801034 20.95029085846871 12.460400475965471 18.53103996244136 20.075033129768975 13.14549850909235 12.062951015810363 14.525763289077737 13.432651558347825 18.1199625698311 14.277573548348375 21.244266678539393 9.16340547482329 14.321507658592076 10.696413685450612 19.708683409922795 12.577804257199428 11.318243195931927 15.100840788967826 13.333558213553328 11.359126074809287 12.175663672635324 18.618281390860364 10.478695051771975 16.62403625535837 15.525471491849451 11.690328135897083 14.24339890624847 13.931840996165255 13.673135748859341 9.592741199418585 11.558242336748977 13.215668747215544 16.352052839509742 14.55488668526944 24.682429065469147 10.62930409525232 16.76151359322365 11.721070263971464 12.37134892908586 14.242852184283246 14.964160439283837 13.037300261516274 19.330658779967045 10.611951810694698 15.06365130646862 16.3275544254768 15.538953000722007 15.953480560394734 11.644873898335037 16.226655653461332 13.142673810904139 20.275252307608405 14.52326256845562
100 12.861243218587289 19.842198282874193 18.476962392755294 17.762083111346357 10.485795667476536 9.057975998311361 9.385321388811558 14.920357796099124 14.729220067571315 12.932612732215427 20.697420175728137 10.673991730651387 16.44442268293718 11.778466288720013 15.426369675076726 12.595379895273666 24.21143038968729 17.40432406742047 15.32372650927161 17.338281536451518 11.642971507156947 16.003952189091834 13.709582543572848 22.28267281224869 14.708621670016743 15.655066788893254 15.161052478067365 13.24582091142939 14.290220014811016 10.928773167208186 13.371988219509626 9.763401046398748 12.555560087463913 22.539339818610564 15.810171684651461 17.45156540339371 12.010628702695378 12.021703115538319 18.158309351572598 20.22072095588796 14.054872650755616 14.035914702157951 18.802859352539443 14.92353063880022 16.819123823230957 16.151597433055056 21.648527203344415 21.105783730096213 12.314421014854952 17.614398088290347 17.947381566806346 13.671527200456625 13.91233653265516 15.833868754150252 15.893702819854271 17.578431190659654 15.856478618283473 19.8135163835329 10.903053827926769 16.791057038519163 11.990287528986757 21.816753339784835 12.617200899950934 11.75481077253755 14.391122768200916 13.819603822372642 12.500380822805264 12.877624891978208 18.09644987821305 10.600656603209744 17.27538435322195 15.724047837053917 10.81241804735366 12.111059287870791 13.511382750525978 12.401963905667913 9.506500214330364 11.702142380963682 13.557847384710652 15.808837245373779 17.976712266237552 22.690089464742876 12.910464527312556 16.92550685529822 11.575455954604232 13.907675595285088 14.135276321536418 14.191511516763702 15.780109359367392 16.703826212157047 11.226901660857031 15.688187791068087 18.41274153001631 15.531497251567593 19.62205750879668 13.208930626885172 13.51913009840209 11.762059626174999 20.56064138966556 13.458726718673773
100 14.103234882347985 19.399548005046572 17.006606590373437 16.762907774685452 12.254871962889737 7.278980026786642 11.491780438124287 16.686997598467617 14.805566339562361 11.491162845787432 21.40946927548315 10.809684128881715 14.696602293144235 14.765808297515793 14.648645799337995 11.216902499680494 24.270434833582748 17.52527409193725 17.79446216882447 17.03095544920529 11.722071609967365 16.776828342871624 14.493126591970661 22.540615841663374 15.570437040025189 16.25235695213199 15.156932943445927 14.743466375277471 14.21116091461121 12.601439430608705 15.663971783150533 9.555855736786341 16.340556892299873 21.387519995026167 15.074716735460568 18.251445292117 13.253934990935225 12.83781368864247 19.57572046127999 20.83347045221557 17.2571310507527 14.339554994215636 17.566521107173998 14.638666004770482 17.60114241454685 17.047032550326996 21.722127695701726 19.898704778013723 14.478692668420063 20.33890227567755 18.132540616670706 16.422412022621973 15.35016041609479 18.99983283479636 16.829858408187263 18.132211419753066 17.295356701392567 19.36654708669543 12.105640362612446 18.653976918971455 13.594060912605864 21.55655962071637 13.686728272178906 13.311861717366812 15.866837936229928 15.193736124094732 13.635930849395633 12.413290422082445 17.367242763086665 11.945121182150137 18.505599635967698 17.023598467731116 10.619785787131201 12.416334585512356 12.369578647875047 11.216588358108464 10.612423304754726 14.145701245921405 14.188769311846652 18.65308466718793 18.059965303829383 22.53899072756542 12.144645900707172 16.83377036710928 10.74443769030384 12.543452724680472 13.096897468017993 14.638458064446276 15.01697287233748 16.487774586010744 12.637589630580539 13.999820345420773 18.604895939579453 17.141584884910053 20.752400919069785 14.329039560630084 14.0345076400671 11.566913843061572 20.408358573450826 16.11266354686247
100 14.89223210670928 19.444434700547617 17.94257566228826 17.164459441371697 13.072848813975686 7.958247725635824 11.5363680561085 18.212428310066652 12.774918141597517 12.616263456911478 20.72186304018291 9.095667634950951 13.793430546430354 14.988285915510815 15.217789282227509 12.828883298361948 25.002248347101155 15.71553576838043 18.629513218544332 18.19147940130334 12.56451660104807 17.707523033237266 12.445992615690635 21.191213741911856 17.78914616092197 16.226907961285928 18.588592191472816 13.379506337015147 16.64210413576263 12.304875284705663 17.092613307531316 9.866774785778697 16.851076346470016 22.02711764868 14.519307624176916 19.32727445035348 13.48270582259605 13.73185955782876 16.37949335551895 20.632172618842855 19.163234437998902 15.593852826423282 18.69187586923191 15.166416539537344 19.88805897810359 17.615756894770946 20.66182451905075 21.003825104431392 16.23268019734189 21.146551880680125 17.742116687551253 16.967484899708154 17.36003432166668 19.650194023787247 15.15770210620967 17.649338732444534 16.648281909216884 18.53937307599765 9.942735967998725 21.09611789475849 12.868513762360553 20.310739223272222 11.891615839971466 14.889508753983385 16.168114504076144 15.029219610854279 13.856778953232238 13.826799995574383 16.938263578595883 10.00206778060052 16.878247274577813 15.562641140086624 11.683397564811383 14.106361539868914 14.754419841764925 9.814512211849152 12.337390146925538 13.832884963256987 18.44349823635906 20.58969251537577 20.564532377199477 23.4011923383899 13.228958065136691 16.680126895531536 10.75325898311339 12.262354745446412 14.473162823092789 16.969675374596644 14.810424167942493 16.00306944857171 11.480129910493 14.780969722959883 20.27496583138332 19.1867813342627 22.36839818823156 15.231026805117775 14.697910237627323 13.86979252759403 18.93195480962872 15.834641029640252
100 17.508375432749393 18.238073629185465 18.033179158527933 18.307432354394734 13.665588511480614 10.452490484241462 14.13366030035424 18.950375357379592 15.288386610304117 11.845363962787008 20.503718805545994 13.174746539054155 16.780753521013704 13.594245660822757 15.615305171440847 13.556349354282759 25.144589884631976 17.73807470785091 21.31365927607135 18.367288033653086 14.541578033381192 18.76466653480019 13.08435817491698 19.032503706222204 19.39312679961887 17.373501683040395 19.37648414839024 12.534878760837305 19.40352923955971 13.054320195520868 15.812706034950505 8.882357657649905 18.069346877957344 22.749848516839293 14.220472138793863 19.873693982667913 14.938708577215209 14.538637316262403 15.995683989303824 22.149955176868488 20.36897338403027 16.596790720432484 17.4837292803828 13.876137793861956 19.907293114348928 18.980830208509957 21.890522466624255 21.66272444721879 16.084731603466057 20.02104709481066 17.894432966187836 17.10108830572308 18.838829480467137 19.002582132563187 15.047366656238555 20.71565477538776 18.963908576974962 17.62430728395779 12.651131074304914 19.413755218950783 12.803345069998429 19.787962650018784 12.714371969172884 16.03852933813718 16.724538631591553 16.15083456735979 13.958968734304042 14.880067807932859 17.283653716334598 9.041842360729724 17.698991948195598 16.11361822364355 11.411394225447776 13.919286864457934 14.538406922049631 10.380205833304524 15.449147353531814 17.09164040678644 15.018740061676201 21.2057948662535 21.902215470815428 22.8556573798738 14.96515706121613 19.23463630003271 9.8025088087144 13.262944962861463 17.506547480967573 15.482750636779567 14.950308797402075 15.94187715232992 13.761469437836578 16.75301105382638 20.420332786935976 19.459071185391988 19.810137841507828 17.387165752194328 14.760117137705755 14.161829130045232 20.285175979614333 16.42723096629647
100 18.996770494405464 19.33895527132883 18.435989063052762 18.954134672537347 12.675551147672747 11.109829531846145 15.967611091938995 17.837977526374885 14.890753790505864 11.243716611576684 20.708710188588366 15.652247794750297 17.716436957129083 11.179215864771189 16.869191204028482 13.50939224006208 25.362767048782906 17.75374723488397 20.265550994323007 18.395560612455554 14.346191639860047 19.299346989105807 12.592939294290122 17.821050114892525 20.50003650268482 19.098384465370554 20.36217515076982 12.234311211453626 18.419869993535915 12.693543935744819 17.30772380633211 8.665163977483292 19.471355827092285 23.299171391092894 16.18416376967272 21.146308475961323 16.14565336041039 13.23006954857965 17.394074673214728 22.45028067735853 19.89931035439982 18.561792965291534 17.263573785816742 13.781324021207267 21.280156978053213 18.498152677046235 20.890853235117124 20.028169236450072 15.504606565691349 19.083132630135154 18.87596372930882 15.918663692690554 16.330479674390315 19.43027120014762 14.67097335498675 20.839636619316533 20.74158853961683 18.052317595274683 15.228006469722226 19.237666115173237 14.65726813771387 19.009297125753765 13.776193320659662 15.091019292068237 16.066394394531752 16.104097808965115 12.896887352322977 15.602621622714686 17.120481024755165 10.346796271181756 16.124788366312604 17.43542616572789 14.351625805888105 16.263275279846315 17.361969248978085 11.338072067557588 15.596675526828282 18.011267110572767 15.151691361248794 18.866728804511595 22.9485602179919 22.315224627719086 13.470305365422757 18.775933124908576 10.513568904700628 14.079189648218764 17.78803801014226 17.530738111474168 13.575163460392297 16.31302457526695 13.396364966087333 18.662377143767756 19.606218487736495 19.235913502601903 21.060181690803073 19.242309014819945 17.231713890505908 12.514099664242833 20.886203198528566 17.086520729837623
100 18.981115138829487 19.659472800924227 20.217101725951164 20.503889735513727 14.449947218199007 12.237366469907299 19.197894825804667 17.4885448972259 13.407463262354936 11.547135862660543 20.769436111612546 17.810036515584095 17.202623062727028 12.508877997717207 15.269824694937192 15.49293109538649 24.947760956396618 17.615498114628288 23.217582770150436 19.915203352580885 13.42483740895776 19.25010149969052 16.916104368250753 20.786379980364536 21.758193921981576 16.83318098098379 22.24731051407193 12.02788668091509 20.214962109215744 12.361603783268604 18.160801163236854 8.78314705633903 19.133934657943858 23.75078616001881 14.659144128300312 23.984871788328547 15.23459772798858 12.604495180082422 18.724646975953437 24.26299464082091 19.542160011586596 17.18399750703038 16.060973179669205 13.096104053166108 21.44811192583542 18.50293940404584 21.27651346129344 20.481471884798673 17.161763752623315 18.66181942419913 18.007678287294084 16.39415153222197 16.407584863136574 19.752888922762725 14.269363265824635 21.819750000992016 19.152729737445217 17.80093495616909 17.106252577794912 17.689486797389737 16.429608747467295 17.182237940245724 12.61055932312706 13.531440506685685 16.718415089142642 17.32359450114263 15.405048531262565 17.666998480376467 18.508410843731557 10.221311095703017 15.33321337096425 18.772631231740334 16.7028103584347 15.136200819950592 19.141413506347796 9.726386084569404 16.7463760748528 18.095031577845788 15.353604860855702 19.05720932851069 21.714180801495466 22.693008987728454 14.146107881728716 20.25690091301031 13.581076420361391 15.032457161804237 16.96765196573731 16.138831686822773 16.245486941903344 18.935283008519896 15.430529884627422 18.850130294710418 20.655543041787194 21.196952795816866 20.0079938086579 19.240674366397954 16.15249633536465 13.040569101248046 22.804862142446403 18.757554937272285
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37
Frechet_distance/test/Frechet_distance/data/curves/generated_100d/7.txt Normal file
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100 4.35692536071853 7.737255115798456 1.5707258109001971 -0.6603113196041491 6.939923196464387 8.945801195824483 11.079611000565396 7.119841552782676 3.1180430114067197 3.6279198566054385 4.984168133472175 -2.2794133729822783 0.14987816458719483 7.624498739403599 6.613400720155637 3.905303433089759 7.033104642324794 13.644707683579824 5.148619059573117 12.974813873892199 4.883056162335866 2.5612069501430046 7.2354492025942285 9.207746495048152 3.533628727271753 2.611064016355088 9.325533701664027 7.571400474889179 3.752407940012036 4.861974820460113 4.825238445147371 7.285000712896213 -0.047397510951285415 3.2172788504404504 7.30897336147694 1.439576193301289 5.459808686819328 7.862273157439909 8.091562433004933 8.000187432503264 4.670869908035332 0.9099103777763735 0.391593228096208 9.271969686218002 0.9177643888632822 7.095151159183194 2.2743553605305618 4.6736461449525315 9.692028847423686 5.973939744326713 0.5504434349124976 6.1655413529393925 8.149138333689551 3.8811229453461578 2.0829788964788865 8.581690577884558 10.424300625622905 6.661407141825908 6.425787094456496 -2.5806382262788454 6.219595622816718 3.8361986182264527 6.688572438194919 4.324826354850738 7.3554135643117 4.095748523007143 4.276038157957402 6.100318983877246 3.767727698279944 7.12918737563362 3.093894832374308 6.145470274666486 5.7563476260655255 -0.05912989236556736 6.840637055114405 5.410569356424041 7.547476040697927 2.2098049805295794 3.046791527830796 7.409921411420267 3.765983460378005 9.87955187133826 2.588186684464293 5.010721241883077 4.01244209486407 8.644498865796345 0.8375517875573636 -0.21236697726997056 -0.5917902976466178 4.205031465153222 -0.057783846729392296 3.0828034918108127 5.016658220845047 3.5109785026860427 2.0890551724311193 3.363346550971558 5.298586888708835 2.1802695558272465 2.1063730396017935 2.2409794571135833
100 5.892268319192132 10.371646391016395 3.8039067215909252 2.352929821806551 7.675007999660829 8.162363054447123 10.274301469209012 9.463979926331552 1.4932479650803923 6.209491827738433 4.650001282214507 1.2209935858805974 0.9026739402283233 9.028486099041487 10.310741955119985 4.158156435976455 7.169531881300181 13.024025516030324 4.595961754203235 12.843274601488874 4.772091997024549 1.7182123666162938 7.539576335966672 10.34846939938988 3.145986014262827 3.1902324296944946 11.71076739016093 6.207813660224902 6.94604369588045 4.602584389560818 5.735772012741103 9.431580268445064 2.9363044344643825 4.5582338608570145 6.883305596054723 1.1851503569272568 5.374191438189031 10.90388380052059 8.235579090456703 9.119836374918243 4.016461713720027 0.19483932979405783 1.171272188774855 9.340143147182477 1.3885387722243652 5.719758452953586 2.9283157429426523 7.358098054199963 9.1007659325682 7.770582826284965 -3.1013194960355595 5.6753458447556495 6.093892068651929 6.173788757221886 4.015487898607755 7.844297149449128 11.231778207230112 8.870692013931809 8.762336569364628 -2.1767080607045854 3.9026023410105095 3.3419363565746067 8.396358884836072 7.700062556673676 7.892827932836012 3.9590025617850215 8.144927174920173 7.265270012380416 2.881223312648266 7.542057214267167 5.104556366869492 6.693001165882139 7.393403229814402 -1.3281497200144345 5.48523338245581 5.111068741398288 7.822781576537704 3.440724790040046 4.6182769138632604 11.189686574809608 3.5997079544424224 9.932027985314893 2.411512883379629 7.141175625438614 6.219028343822647 8.653644012931423 4.38189553293412 -0.30959663969792817 1.5799696145630815 6.890173315109811 -0.8406724618659741 4.572324489472854 2.1153635118759757 5.396538004802709 1.3861797076069238 4.786075049944474 6.967933627148168 4.402625599494771 4.0555157815917475 3.090435047075914
100 5.987565324373456 10.765262851345835 3.034732569059722 2.8838308658870955 7.778498666371992 7.6389722235250375 8.378607344535036 8.241339410703679 -1.7527665631404084 6.309433991210816 5.808153771841546 -1.439354933687207 2.0043281771312156 9.263163637199654 9.204807686465399 4.254113020888477 9.104560357319802 12.06104359855436 5.456061803523135 13.590432320771752 4.305323690264009 3.8311177303772075 8.616806361957513 10.515688953982613 6.995431774321947 5.254964980859922 9.960304662913794 6.232499651121548 10.682207591324582 3.9406524008607478 6.418046593204266 11.412208783423349 4.559377842726268 6.250140225967282 8.32761407217553 1.9761118106244338 4.995501619866135 11.910370413789726 8.334121835572915 9.129576826384673 6.659500178503371 0.501867220782207 4.084911874075244 10.15085429528837 1.9421988966438404 3.952223754940209 6.389281762864984 7.890116559836316 6.680998432433476 9.593309239038332 -2.1746421654788555 5.026905935978077 7.812588628533759 3.4320652813187684 3.776661691805891 8.081292032915545 12.726841857731396 12.320544864482642 8.902885791660921 -0.6847166737175646 8.118566968828018 4.028956024387909 9.627624092771688 6.578136244001783 11.011512395859217 3.6762522878161397 9.060157543444799 8.15098822261762 3.725009477084804 7.514892184874155 6.026744294721229 9.579200526097935 10.879170680249961 -0.7008253690680372 5.457804895420942 4.714456356723501 11.931272187678683 4.334649488904846 6.727561224783418 12.493149368819266 7.254727513556222 10.058567203422893 1.7111984009685828 10.177878372338302 8.014533905264763 9.824888630047319 7.064618279971703 1.1686784352285335 4.341827805271375 7.871708229674775 1.3318610102464747 5.91492411278937 2.445761980790834 5.844535258206829 1.6195485582038218 5.739956302768245 6.97623656685683 5.62282397703463 5.268491844119915 4.080534424629923
100 6.868685707228389 10.507420789870437 3.3905096920122517 1.5032325254321344 8.10451214994538 6.886805694770416 8.963057132675026 7.80792201448912 -3.41864120112393 9.738593262606697 6.153235135682204 1.3938120614662326 2.073154936030635 11.858410167264454 8.184242224003471 5.142067061051306 8.174749871910926 15.790764652901263 5.859801668054766 14.934365736826766 5.519834444159427 4.515908483349498 9.800636843479435 12.775114215324372 8.480869445674362 6.13189744647229 11.158160386187308 9.257047489164114 10.51181627875484 2.18083755978492 5.564935230719854 10.381020973938739 4.1257388012826395 5.738387316924101 8.724173247179259 3.0289222521408155 5.977806231870264 11.362809387394988 10.250465243095011 10.466012517218804 9.3227361211525 2.3998375749335628 4.205846996308283 12.294349168816304 3.04204348757212 5.668418386589327 7.886790238071104 8.250574229297865 7.458921114702039 9.886990427767156 -2.3218502719043137 2.8352853023619438 7.348822644558435 4.38853449099359 5.895004670342412 9.738399562391251 12.689125555130724 11.828390135142218 9.126390270510761 -1.1142233380361253 5.833881850150876 2.678098615584619 11.989937362774283 9.53338012455752 12.43280221183264 4.263811307222134 7.781163053479651 8.482088166637944 5.223891139167574 9.137928059041826 7.496588427107065 11.633171640561102 13.778363335570257 -0.39096142655300004 9.668544307911457 2.767451724688635 11.362517095872134 5.289472469900497 8.015517422531488 12.601884781804033 7.242447553801103 13.369577846679626 1.7817898246957347 9.345588463778558 10.761644579361995 11.461573519828704 9.064397203882004 2.17793506221162 3.160594404144316 8.606550525443406 0.279311236539473 6.83625289171113 4.041781098466509 7.945370296415229 2.2410140922734714 7.285762521008343 6.407934097263966 7.486321121637097 6.789993040555188 3.7277405807867865
100 8.073830981247475 12.380243624175355 4.151487087694512 1.2277119587583534 8.771389509415622 8.129087116063907 8.283929749378682 6.9774151480346065 -1.740532156711173 11.135938402937912 9.535879829564704 3.0309596602015603 1.2012149432465282 14.765593821501204 10.041609643334969 3.1133047772800686 7.330159218442559 15.324625814087913 7.6111743359748 12.03504694202502 5.901465656333662 6.172499324058651 6.544071739304279 14.11274828188104 10.12214478829233 5.61596664318788 10.097225440835267 8.51130738520402 7.391256667165095 2.434632702906036 6.418656794757803 9.115301916331648 6.070727111735319 6.441782966814813 9.44421919151474 3.1448479997576424 7.532467912210345 13.437369847336829 10.224353195194087 11.998864324087092 10.783961348543045 3.6086372785316136 6.917308323825431 11.67848596970813 3.142764144000909 5.2210407606547315 9.291048400801163 8.368227275571979 7.1226341479700235 12.47000173072714 0.9327792168139166 3.0533412153433876 5.998513424524886 7.422230333176716 7.079556633309626 10.797757071662877 13.130804892675407 11.173483804112996 9.006258748733003 0.5653832804540107 5.778814605027867 3.9092110394390667 12.446994997295093 8.542879424592373 14.89346934650987 5.630169348630089 8.758916540109459 9.693939592116116 3.4876590589376035 8.937782795236078 5.9864829682111615 12.160271558340918 14.43174805259315 0.559685410016463 11.554433925862718 1.5330999093201114 10.759633107320871 6.4367696082664345 8.841285013248378 11.208812139078525 9.387685069327912 15.65790962811288 3.0565238913709187 7.877148272925076 11.368933357059168 12.333821446710962 9.16687051778048 4.591514048550457 3.6243236971592583 11.894845643556213 2.1933456955811703 7.722689600778776 5.869075918094069 10.504836295610229 4.0755970102638335 7.658437766532441 6.138686362378833 6.517185098475789 4.155727612588308 4.609450057207712
100 8.07065278665084 12.353566295198563 6.162825518048308 1.9461667952253672 11.673641035297885 7.892263801274575 7.480725010483583 5.893527099268099 0.19904421829574903 12.922738647819825 9.246191182928197 2.4045003852141833 3.9800648224097896 13.026987719668075 11.79514412620679 3.080458449600547 8.41452394702148 16.930632717414355 8.864090978851848 11.986422455700678 8.275583845444013 7.164132833530244 11.93318074153564 12.2312733394745 8.36640142453822 7.558792661973694 10.57296828705092 9.977180260286165 6.479154486933079 3.2215500485462787 7.585789367718184 8.806806242628497 7.018320093912229 5.2529475594348884 10.336053182043136 5.704302916861835 6.4874994479628825 12.085168994130218 12.313073089702076 10.804857670533966 12.303966360399812 4.342133150179538 6.825725743359132 13.964662744050273 5.041357301348795 6.20828763016162 6.926745416566449 9.795570775682975 6.355190276310848 12.520933536910283 1.7683569980210587 6.20303892750755 6.187164714302958 6.0957997477808705 9.552900089595823 12.244891590147962 14.430936598576494 13.550949318204157 11.699488870970912 0.1898298925806341 4.53841527384602 5.667848538251115 12.557766903703815 8.774582626653135 13.706686376712797 6.96717320495219 9.827045322093328 9.965077609153761 2.397076814657635 10.9918421717278 6.895359732140709 13.982217459676521 11.91579647675508 1.4151908469088417 10.919591004029654 2.3987012649546866 12.480407586725446 7.5208308676160724 9.346800628525102 11.62672258493993 7.899129017406784 14.682029646105597 5.23286449949303 7.81387440500964 13.253899044687717 13.831293336052711 10.794721620863509 5.629423278800112 3.6968119185552215 12.147320543131991 3.9038519561945138 5.4868721179017585 8.083051786819198 10.353742678166583 4.597828964306249 8.047050767223778 6.730607497465929 5.377482549817873 5.046600455387126 6.046868916916236
100 5.960299929396392 11.10935815761222 7.967559762330489 3.7788862904119918 12.402431323131628 7.572190533496605 8.951109177345735 4.983826790214368 1.0205073624393708 11.455555303217114 9.577318734440816 1.9219419718443664 5.692398301570357 13.833892357012877 11.450585489990743 5.274706866552293 7.740296530763919 17.033028941796132 8.697475152221008 13.32015955471223 9.609531499047318 9.482182609019748 12.440843824388967 8.84019480958181 8.415042157516545 10.211297421159028 10.692720608806498 7.890130720844469 7.670616204046007 4.648226916541248 7.210346686286466 8.936103787712144 6.57768545156947 6.6242862697369125 10.780654647515048 4.8098272708103496 7.141336244690313 11.563206628185013 14.704602553380576 12.588066250167337 12.539136437311534 5.13536521681828 8.641525839681128 14.044490382787371 6.692637906375089 8.763146139393779 6.8762270915223045 12.415204749594292 8.836237613267201 13.21179551604083 2.054005817109492 7.105896377804371 6.426224907361897 5.70042218109181 10.741531638546485 11.395487707664483 14.265468501164795 13.497739027411873 10.29086496667611 1.9202718765981972 4.921549526333194 7.9971876694428685 12.72835388844709 8.73217371158944 12.884033495023282 7.5855088942368925 10.429989199203197 11.433618798692834 3.3169683212778307 14.142548290559155 8.074916461985525 13.015108055445735 10.881494815817993 2.923677537268184 9.950857721170967 4.025172706816526 14.102894080554115 9.323729786334395 8.719359978105743 13.243182101457604 8.978928564544573 14.159976659181254 5.7068609939874495 9.07862580308659 12.728752745593628 14.614513772949852 13.12598912873991 7.494314925489209 4.498570985816598 12.930273647344704 4.082013401203566 5.507465810519781 6.631224623282219 11.232807626537927 6.15337604440259 8.47137696476531 6.265215357259007 6.138761401444478 7.50627687493953 7.8719017444062285
100 6.596961376411944 14.298104911541449 12.052284765921259 4.010618355975292 12.400831127271587 9.079380396344249 8.253175450168788 6.813862501030742 2.152415363939292 12.252503676403936 9.376653405594373 1.813990388394216 3.785629523310536 15.977651525761253 13.105077108095921 6.849407337599788 8.81897990193738 14.18676538093068 8.387888414186731 13.304547659512956 8.655154793990476 7.816222486882112 11.561124730976285 9.548103052550955 9.110521787586727 11.90187271609928 13.933325363122961 9.30795257781209 8.015227839220099 7.693478984042999 5.765774622692261 6.695657060019297 6.134793891262937 8.332127453338376 11.363839175069806 4.03401849588427 6.8570490966935616 10.423889904514983 13.483785780897998 15.162433313308176 12.751218127413223 8.112301976681332 7.912310041108688 14.997000730467304 7.59817835817861 10.439660957235004 7.8213346802482615 14.064575938645175 10.181923856435462 12.141508182182225 3.890346453244319 7.5471872461645715 5.984282793216083 7.283514486918252 12.397339732016318 11.310041474717329 14.103871203116277 12.082080469799028 8.396099680324278 2.4292741403248463 6.639934593173347 7.802962458357152 15.084620673911045 8.97375198764206 13.031551888817843 7.76971087298036 12.243181559559948 10.638752160391354 3.9703389401053286 13.72014825659816 7.896587779358924 13.437693221582691 11.158998771762112 5.062229128495808 10.354740263300846 5.553738653120823 14.723548252495315 11.690880198058508 8.880587407883793 13.208882265284295 10.581144599762464 14.054337033076168 7.040252787000213 12.733678543515726 11.846143791517868 16.97346179860448 12.84045757237305 9.77703639344124 6.074114090109462 14.169845762979287 4.790446873939898 5.892215858518634 6.333841370056131 11.772409620323199 6.532442348866734 9.236118243412058 5.157309669613131 6.833222125391504 9.769842691763657 9.692812003672572
100 7.308565765068436 18.019475352838402 11.696898537868087 4.792779183593993 10.852303704781868 9.11714441178962 11.132339313823135 7.011672785149544 1.1662348128364581 13.676597687648554 10.473339817870905 3.8703392674986237 4.2147739763389485 14.781509558590582 13.235358192498087 8.228692191024669 9.331264707570648 14.999536196400733 8.413067661897326 14.194253137016725 9.179975126760848 7.554174861072707 12.203718737722351 9.690537916135098 10.54510234241386 13.489039337694471 15.006072887934197 7.665397273948551 7.349890900232448 7.452094894985062 5.455354292695432 6.597910582648043 8.113272335631526 9.841169771658732 11.167854510359644 5.576620588167868 7.999988827360249 10.94430349032418 15.457574593937853 14.7581649365696 13.230973435837916 7.305914928283022 7.100372767118208 13.51053145406839 6.915561267317205 11.023952597305536 8.029105688992603 14.017460283267834 10.384556638568698 14.871768486495647 3.25168705777018 6.5162688632090005 5.510293540100557 7.8280815432061175 13.464258849797352 12.694367779884574 15.65214866010652 12.426876177991666 8.45927845429256 5.399146405809846 3.659609588351572 8.478754701960113 16.049247229493883 11.935330689321946 11.298290541582716 7.807296062694945 10.951776701378616 8.821673547480813 4.540043931840819 15.131938109833289 10.058445234709538 13.123354992793306 12.461044085280728 5.509761546947143 11.499825094990094 7.829141326838347 14.858022076395912 13.54063620610613 7.882595509596891 14.440524253482264 12.511861055154425 15.592588150721813 6.1557732073114195 12.92570732632624 12.698910551557217 17.81463719985618 13.381685164574925 12.090689257253773 5.031130582124357 14.278658368112673 3.5176912001424907 7.432385246054281 7.750096144437104 16.66030761061512 8.501789506367261 10.173795995899344 6.316499424435523 7.0897272601042065 10.479260583164466 10.584919819982572
100 5.366630027097864 18.459618942785916 12.221661397266416 7.8842910619500834 11.079300009946449 8.654691571966163 11.864476715543388 7.738029174649291 1.996454002776098 12.218562029771364 10.776954646486313 3.9423712780276197 4.686771002230952 15.900858054006003 12.702680714400605 8.497291663814822 10.585424514871171 14.901688503443026 12.491004184909036 14.793526794757748 8.041741002759784 7.099374479289185 11.38741475992128 9.224061430722918 11.77215385145687 12.400613931737992 14.921594107948442 9.692427704649367 7.267298300238213 8.89429682419643 3.9719884049737852 6.698882307175188 7.599519751737601 10.726197650781959 10.169929892971673 8.92475847309697 6.491466170340571 12.92996163768314 16.95756607004062 15.614150210902077 13.668478511942897 10.289858972649416 10.820900580621176 13.584226210976997 7.724270569516641 10.729199411719957 7.069860913703723 14.910556914912322 11.261164836136253 13.046088477096294 4.674658766308654 7.493468422216473 5.346587531163333 7.540725951173632 14.339661659391009 15.267890304827391 16.396760290669672 13.885679726373262 7.924022894644933 5.516033333592601 5.20711325210285 7.24378878752613 16.655742205408952 12.92792027017426 11.739597595036388 8.775466101508641 11.541806644241362 8.598965318435283 3.774148008538848 15.256176372006049 12.210503738646052 14.829258356034538 12.360773126630596 5.681062736999017 11.271408823406434 7.8797399025477635 15.5931691309753 15.249964922110063 11.424622660327177 13.659373806104178 13.819394441763576 16.53312272724516 6.395069873256939 12.019095803485655 13.4512751540775 20.780347970919188 14.075542684921574 11.384333658626069 5.4886412577744 13.191267147105485 4.481377099131909 8.939812829872393 7.439481294697808 12.690963796861142 9.366551092149939 9.956535612486565 6.06930999112632 6.724796319316548 11.477054805551548 10.516477316906608
100 7.316772724640765 19.866919373487548 12.252915613396683 7.891838302139711 11.648914414625498 9.045816097333658 9.947568045286014 10.845407878181138 3.9250904744098833 11.905931816575706 8.798215303954501 4.564886249960835 4.683862946813443 15.938329529305229 10.276699164614062 8.449688481675853 10.559560343382179 14.92020224239779 12.686203533774792 15.117806280559563 10.575814430435136 7.117629422431486 10.668902600398038 7.635366561751958 11.595430169524997 11.001240610956303 16.535278527444476 10.026340399142617 9.111825340564453 11.31819808304972 3.660217025097772 6.8501349953001345 10.023329554436875 11.442694641999802 11.262536929007563 10.778470121020948 8.385681594420449 13.890724078349404 19.06809154449399 15.953461810338114 14.703492730934471 10.501200118402002 12.483156982733354 13.027432936441272 6.124059288189377 12.03781050507763 6.379125270280287 13.712476345624774 13.43577053506027 14.677099751127287 5.021152592276928 4.118793091228381 6.693149080909037 9.021332246505052 15.304270723613834 16.248162717500986 16.358514439235922 13.739161498355424 7.084406096106802 5.2872337413836314 6.334001878966045 8.301728636141156 18.002543735060165 11.413986421016528 10.072259919332431 8.808177308614097 10.722225004900315 9.463994939490133 2.9103462958361748 17.03612360497474 11.505162708172309 17.200879171894485 13.411435916992954 4.975666883265928 14.36467014300224 8.871280515584234 16.147397692378657 15.424826772166615 12.472133342234844 14.693919289428408 13.107497945290424 16.45199123229623 7.229957516226467 13.269908610250052 14.602997737953602 21.05793779879018 13.682843795929122 10.970083417272052 4.606484057219447 14.430593163194503 4.610615151957824 9.257501111831177 8.38022039588432 13.178322640909006 9.840734975068708 9.245121989345348 7.192137567299 6.986439798080217 11.810707757238397 12.50733451471347
100 8.665207195237118 19.228222164780657 12.472480041812881 10.712275906489689 11.65415680506867 9.703845716698655 11.311089339047474 11.619415169999606 4.414174155825183 11.271220864332298 9.45249649994692 6.313336685479125 7.225969014384482 14.157122855557482 13.125152908996292 8.690858721394143 12.314463241247323 14.251148980029646 11.12506911244288 13.670249795398979 10.60465005663426 8.542870946348952 11.254944065572772 8.111618934065861 13.587155069692564 11.540555649856842 17.203421144542958 14.54873580323601 9.671790026200727 10.837716818888373 5.183530251120231 8.448811161921524 11.027329240989374 12.115673773701051 13.576581633447017 12.991059943966622 8.91534368310971 13.462506677937185 19.82614761402771 15.55384259760911 16.185183602305738 11.518288950804974 16.223348915441832 15.35795029950064 5.448809971149366 11.784381349856663 4.618445284520476 11.279658671421874 14.034677736907486 13.440501572317888 7.992612148499807 6.448515012637632 6.971497764653286 9.181388199703154 17.497636312100816 18.820322622746822 15.362292005956682 12.787209100848301 7.388756468350933 6.594931402896165 6.370212873876354 9.499668637573281 20.80817735987135 10.012586409702946 10.117820703865108 7.573319920744347 10.229601249777106 9.706913641424066 2.922764209061422 17.877202796174966 12.13495937204488 17.781265116036618 13.35288957700888 5.4584990258891715 14.134182365020962 9.191983889792192 17.027071260433452 13.195594697858672 13.264697224330698 13.886611887681287 13.154233784144195 14.639421796289223 7.457713385737665 14.094470223349326 15.534946192423682 19.56894204946344 14.586160720321804 12.873689320733025 4.736938447996293 14.869417613694837 2.921504615929414 8.687445003296338 9.362727153695262 14.915125705609379 9.556287080485658 13.259376697320127 8.374106235599783 6.0401210656860576 13.948172568561722 11.291448186839556
100 9.653425079708859 18.147582943455063 11.073480220776062 12.49345089451742 11.685619273057746 12.466343051360832 10.373602133448605 10.002862879995947 4.65390429299952 15.364467741003576 11.111777234933506 7.757841448635087 8.6102164493216 13.731958553401006 17.034016446942786 9.83612169391073 13.201548605815029 15.83051221472057 10.037019727292614 12.838631831939134 10.702930848927373 10.436702943986424 10.03493877027823 8.730882588046564 13.703786120313879 9.955744273158393 16.785032187682045 15.45583859152277 8.235097267876846 13.084358567629653 6.532686173110027 9.403892600228295 11.545154999444486 11.088808797261933 12.96549243573944 13.755927846585113 8.663050303693478 14.102670829530503 18.800961552922683 16.566917512365816 17.09443595905504 9.774736078813822 16.36287016671341 13.638077310427336 3.7279496055394112 11.409627215700521 9.00942708784988 12.729569833565504 16.22491909227443 14.581542469471785 8.8705381386983 8.244284057058701 6.701743887867294 10.320324347584448 19.153771306775585 19.909597742155636 17.226728361965524 13.464065349509621 10.20764438719112 6.938365508890599 9.763772495789883 10.74007377125004 20.410439993326012 8.941412417886161 9.63537413476438 6.908618972866767 10.682685734412816 8.609460123221185 5.476758687659771 18.128279443521397 12.589201831435206 16.411124340861658 12.666591058953161 3.2422445050271196 16.4549615351007 7.920008283743998 15.542738199014924 15.395694367526712 14.10917955987247 14.3792431180308 14.038813411243655 16.171727864855036 8.20911137298464 12.467998559180272 16.7480634893618 20.24364300322263 16.40174012906613 11.536336610580802 4.486773821971518 15.7557929524971 2.693639579424902 6.202228213422715 10.144076640240955 16.44017906133049 9.854767745262576 14.260652755053137 9.543551054805993 6.749800577630993 14.437833590506838 13.485100046901486
100 8.904063659814993 19.333714322759366 9.971312077891826 11.893308948284815 13.60357120942739 11.265309377059756 10.488822669096972 13.561504104945097 6.828087585974692 14.528413607525883 10.859803562558795 8.178790754222488 10.858912734977464 12.654308902130909 15.809728884330982 11.248234173476163 11.379342904642021 14.860869605207206 10.542622155081071 13.145111238369521 9.336479652055809 11.397731488639844 11.279261142865273 8.536550711642287 16.240414814479237 10.934814422455853 15.740506519772694 17.71626559665927 8.114102079745726 13.609064528949586 6.562912360918998 10.665813894235761 11.393946016112457 10.982798887086897 13.019578410081996 13.355287314528367 10.657240193060268 12.82497798681708 18.946804948632362 17.052642330488258 17.108616136372152 11.490822432718842 14.452013831787676 14.719640018523023 2.8878985969591557 11.160063880998843 7.778982127859684 12.660431567678826 15.737265612130388 16.998940174427606 9.743129945058813 9.348532564669625 5.8309306058306785 11.74527910478647 21.32317994179272 21.162682340238007 15.671652228761609 13.260407021929424 10.816436811921074 6.777460113510993 13.516143793439412 10.538605729289992 20.474641659941632 8.672228766088296 10.522565320017147 9.31535829114387 11.370612003901899 8.933066397942833 4.813243780280417 19.792810031464086 12.737977137087348 16.381686816958112 9.970879206306641 3.8526530892917883 16.029893176748445 6.175673915969583 17.16227846259831 14.946068599178558 16.86689399116716 16.524575275905327 13.494760456626253 18.162274191700433 10.878690311283934 12.200152373214197 15.600484118941814 17.53135442779658 17.092581662611018 10.622566125290756 5.723055994010227 15.344510098726921 2.6799885110530246 6.166222661792294 8.933043840746338 15.988949325941743 9.342560174879198 14.476361677845768 10.256806987770245 6.008888595221153 16.153091327845267 13.600082862454459
100 11.399356687529183 19.767529745325813 10.550163935254044 11.718488400403249 14.667817427101916 11.741833959088153 12.027927270035644 15.95418662638528 6.612409247662346 15.490841704532018 12.116597828478005 9.394468327601356 10.723584063653611 12.396879929236626 15.269693786858527 10.875626178050606 10.743356035302924 14.989201709230095 10.147398584465378 14.045981094484901 9.887646906803786 12.069276724878552 11.384173994256455 9.302492094795447 16.166596889323277 12.435374795865846 15.48040774205738 18.242193474871964 6.980941625360808 14.799903975673683 6.496907013767706 9.865556090247201 10.395683159114483 9.845715982518053 12.652774681312723 15.575704156136451 10.319383696932034 10.37556354243243 19.608455102734275 15.948439671565122 18.34322283390847 11.312670659171614 14.237736728525984 16.56388243789888 4.511736341661314 9.964090792132613 6.934037897282534 10.707704405685158 19.410219956314187 16.041280399926986 11.777703060869719 9.132278490836065 5.040181035611099 12.162992053248875 20.827297584182315 22.263175738769444 16.960286185139744 12.903082384050279 9.380801791479898 5.818368166994963 10.816279561764407 10.61730216456435 20.576493330759554 7.711069907808692 9.42005665717449 9.780669015108066 11.052140596041141 9.247614094411901 5.101829587266071 20.12404239961056 12.330851849816865 15.960943090229952 8.007018671771124 4.531263769893595 16.263224052761768 6.662871808577333 19.897680400612323 15.426684567793671 16.815761994103955 17.370132749140723 16.660844814007064 18.59934373679192 8.427158030003778 13.234101293892554 14.710888206270573 15.2604061654555 19.4602240734959 12.946468809851817 5.18527412434106 14.524010812847708 3.8882058865400313 5.710779644582466 9.297754487619612 15.363995389789094 9.293300678884801 12.873620169549248 11.872628476143497 8.26285266026455 16.21915015604017 13.869286401547972
100 12.659108281035987 19.874698730252277 13.28826666996207 10.510704051542387 16.01145097756104 12.028792286778648 10.93744119025907 19.0718361933101 10.502160024605981 15.343952804687584 13.155066376656801 9.376643665689574 10.783570521762101 11.236480941310589 13.868208621374476 13.732686360287849 11.213818269735855 15.329539949835803 9.74403822161779 14.600412090709485 8.411220292283605 11.508247276707618 10.30951211102754 11.662408391420566 14.287159626421829 11.339857203894569 13.16845942125188 17.096751553900766 7.0476341955019866 16.288729095777075 6.916458470953911 9.78648455902236 11.353877531507228 9.807490621859273 16.0818085330925 14.976533772986432 11.406897153249002 12.033743895203461 18.96559956378956 16.590589272522546 17.811753350505175 12.07216188442194 14.531891093536004 16.587706087516935 3.7958485436005134 12.904312034612095 8.364941374935267 9.138824458424944 18.971384111753437 14.22789401761287 13.205191053886011 9.62276445047049 5.741991592106305 11.46049247089088 20.368176676173146 23.28842941556188 18.50772482929113 14.45974106769829 7.906239551131268 6.265215257478944 11.577628626532501 10.12197002240695 18.53913047812747 6.649870494579412 12.005641335897803 8.724644647914054 11.667511057263082 9.657525891365976 5.702594156241579 19.698576226072962 13.728227148792923 16.258918718077602 7.81491626159472 5.354060528299368 14.715504794891833 8.020542625495711 19.129853340685038 14.87682728458338 17.64782382501142 17.004165527976532 16.478979124683594 20.20912235585807 7.763490655378454 14.329027945611802 16.2638350973112 17.144409972252884 22.332090953214756 12.409286484937962 4.767273662401884 16.001711469984187 6.110519334567597 5.448703897943755 10.4840046245198 19.26159349995048 9.934337019157752 14.399095212112075 14.410803765695022 12.12930822945625 16.744208998109006 15.820704803516696
100 12.058689358157592 20.019521972683986 13.09526188914815 8.70749254067663 14.099534580767761 13.065455297568123 12.00730714196838 17.747936855186637 13.183306499198341 14.050418381709472 13.948881883217386 9.514590946422516 11.446093697415932 12.831327989694527 15.238708899988145 14.99875160687331 12.531475150627177 13.96628005825841 11.98384218486694 13.537495694721182 8.909338555355864 11.592419856932839 11.3831678263344 11.658712625034171 14.502570179879703 14.010035744529125 12.026087015867589 17.177725958862847 6.350695037199319 17.320788706868004 6.751413240295897 10.358819682444762 10.219021684401016 12.10047062748178 16.300806948706985 15.385210895873632 13.042676859039272 10.968331439489766 18.391122962261754 17.257866881621673 15.690228473750539 10.332885397624157 13.631417311686164 15.337531373641697 4.287889858234771 13.989898090561981 10.011773860183235 12.153053618846782 19.091653261543033 14.79906125765614 13.58130776976774 10.59898597103621 7.008829933326059 13.149461714689675 21.534687619740673 23.90221881710368 20.57396293183445 14.917198293942912 7.820718067587632 6.438749981418654 11.884408497436144 9.267187366039941 18.00386149353908 5.929528535404498 13.015979758261327 9.810861047590713 9.959576094772329 9.479428958348729 8.949088046835787 20.532691891499084 14.654913340800707 15.663269782363537 8.907133013213718 6.144401157757138 13.90435455923129 8.135196299323724 18.69843410688733 13.27205920426126 16.063448798355278 16.953619722892746 15.700124291247489 19.82264506706315 6.401630206779933 15.811485723303417 19.23463833192923 18.78083012812493 23.67197488283898 13.595149777430498 5.94662788492708 16.49512125287649 5.9216347377340615 7.233420694368838 11.862990349316014 18.823242341387832 11.152945301391048 13.772086715757144 13.989824113317265 13.593088571538326 17.505325722016433 15.765101462462681
100 12.063224347010467 20.34902824686645 11.10396777411739 8.47312332133184 12.742087102320806 13.489432364308671 13.836605758439283 18.479236856746724 13.003010818818211 13.358819346269348 13.374261280834885 12.77555401249489 12.01140837601832 13.415089906158654 12.791747621803554 13.72781684022678 12.950235025046881 13.690143059809667 12.775629472692735 14.070278770193404 10.288004577827765 9.691988812789127 10.49191614030358 12.14862650533934 14.064342155659201 14.00215530109888 12.773014626636291 16.2875575012834 7.38608190429423 18.118332637005235 7.616807251738134 11.776887521364172 8.044151289504004 11.804988257343373 17.570349389321176 14.463433751170864 12.193904215180627 11.424389425262511 18.62625841664165 16.96291419289291 18.38397997718556 11.218874938663141 12.678080971086791 13.773203593449571 5.713182707665447 13.120543572092064 13.373474907646546 13.179007112189796 19.96019545444888 15.453567187257956 15.420034180614444 7.9786045562964345 6.107241774681481 14.87488703355225 23.38711488679648 22.198068153180742 18.184949057719535 15.524725506732617 9.15829905597649 7.36695635221671 12.227313810581691 7.459686357552537 17.808223489563467 6.4326317918300475 12.798027686366677 7.868940667200841 11.409198549758084 11.280262976910803 8.580747452986753 20.255039439770236 14.28430223622212 15.331199614317791 10.19175037153915 7.568322936729801 15.573282830649713 10.246101327396206 18.68063540203069 17.39181331447592 18.310158577446323 16.307482433431115 16.232227068116117 17.26943190719858 7.237608040341083 18.332079927313583 22.931389014678093 18.82021607253802 23.896908194943936 14.676987821022026 9.27241281088661 15.563540525588468 10.373801701069228 7.589234101698027 10.809882939904128 18.60193213457495 10.554398127425706 14.627476832626334 12.261250056987679 14.138387209934079 18.5209454157795 17.939270765417533
100 13.51076114854046 22.29796769702286 10.954006675772575 9.929308576162715 10.30094860172954 13.813168025666803 14.711897002614517 19.181273375667708 11.56815369391405 13.183853559361797 13.591771706687409 12.787182370796423 13.499358155485119 13.488848184017547 13.472801931535347 13.513370713095394 14.890232230820924 15.65023047003864 13.078238523085131 18.200728183641075 9.925102153263659 11.79810023530171 9.995908845200981 13.88056647858568 15.498558285799 13.175314499151401 13.293274866732348 18.87941708332883 7.21806027595164 18.691938991156917 8.950626818527695 12.208195074865339 6.759785403621193 13.47979157297087 17.624573962228823 16.217126655340525 13.116026304718794 12.238749660081467 19.410599066875 16.1950054777353 20.572386801638174 11.29733130277863 12.55068604628482 15.950152097998183 7.034727561824196 13.292334262259356 14.352166800688071 14.494522454608326 19.914107492688345 17.011674011468052 14.098906286018218 9.125839406972087 8.033130975342786 16.02282118147254 20.212447961052433 22.04107460958639 16.756694173468908 17.63106156619571 9.420840321989317 9.732515948003098 11.13782782305783 8.844130074610087 18.19336029043565 10.970711801045473 14.956091966111103 10.145203300515984 14.786229257537657 12.346075248595325 9.299131451042381 19.954175639764077 15.078149153039456 12.126767095036158 10.891431688394494 8.682380551296191 15.579702123453313 9.010136782742828 18.74073709156018 15.610867312077305 20.73211410820286 16.280114886261295 13.963831808737911 17.228916781439523 9.325903510941318 18.795758206247424 21.563934942416772 18.178574172162513 23.24746066021177 14.387451378753571 8.311392879725458 15.973219677158752 9.536921439246226 9.743430539271355 12.859310533722939 17.547066393790946 10.227934600243024 14.395745968638636 12.868431024931903 14.876569594553123 19.234206224519994 18.650610948219647
100 15.957180903983378 22.33314688521676 9.870968718848719 8.621499796440723 13.030727774687712 14.89657951134542 15.26843376244032 19.791860573480115 12.453618841905836 14.071942889039638 13.603142809490134 14.693697044262574 13.224276563532905 12.643830295323625 11.745414009398033 13.61655136435284 16.922763120406803 15.366936842829737 11.926260731659747 18.676800158900804 9.700383756649801 14.410521252854695 12.12444801043393 12.789076312644859 15.669702705301422 12.71163778585241 12.396667352850779 18.776500925400537 9.131353263603845 18.593078605641164 9.029145851400099 9.766801025153905 6.894225487977594 14.640146324284249 15.912994074898265 18.05953462684033 12.8756848832723 13.119824085882241 19.118162874338648 15.205610568950386 21.14237904152014 11.04716604389259 11.800298031498773 13.17381982965729 9.57483806294595 13.738813373756582 16.135662082081925 15.679166095394075 21.45709612125634 16.505252150368065 12.71958421159246 10.794709057082596 8.898382748918705 15.654352344409691 21.15790095153153 22.459932162831592 17.829933579825973 16.561192579477154 11.397709186894 10.346936313910781 13.089007092029155 10.828946465627892 19.41070617336408 11.392260522585605 16.314617757798494 12.206389769934969 16.031746975440697 13.189176858724144 10.970824286817983 19.270250271391017 17.33573217305859 10.541356969267687 11.541668077889035 8.845975624292045 14.942689411595872 10.204154387196047 17.51308749017476 18.735206337052233 18.911363420353013 15.334344106651063 13.15428095028992 17.704247131460107 11.365694921923778 19.667426835588454 23.406422878165902 17.374555602316676 23.889858921982242 14.27870362921284 9.31242947498754 17.85336659156349 8.240135426860983 13.044329331917616 13.142737617423807 15.767908815955023 9.919651346473197 14.844478378296582 12.533900549551309 12.542083035465726 19.414014872728323 17.793164077928985
100 17.057309125826272 20.89823466565358 13.501346647710037 10.170411547466204 13.697654140298246 16.05207809811172 13.150209170634382 19.129201241809632 15.388573915467259 13.91879716629149 14.018704580096458 14.488326757065815 15.556926927242491 12.716951996014329 10.714312309612957 17.375786155198316 15.37663006780198 15.573289772115318 11.557327767266962 17.83700389590718 8.963220569367376 14.124408234087497 13.986632696757589 10.957741619654772 17.695588148624992 14.680265683127644 13.737387130539844 18.917531231152033 10.207878362490554 20.457969305288472 7.507027877543505 11.31535812452401 6.9192622233472365 16.075813530422046 15.27066076005911 19.02276448118133 11.400621390082998 11.488720196872096 19.21956909595341 17.684801348766545 21.79643310225999 12.282592661179232 13.306249813969277 13.170170649473596 11.037948506779196 13.393878846897062 15.946619398812139 15.727905990979469 20.74281591225853 16.683582480435664 12.893935266226178 10.436072254128982 9.353038228546733 16.1214325639228 19.64038001674171 22.991081496201513 17.355243569925644 17.15572581167185 11.100883392823683 12.292028319077698 14.735963700637399 10.052447446622125 20.332930340626078 13.81095622647122 15.423071383403602 11.549571032478989 17.357257468460347 12.012054155046194 10.590425269300004 17.99952318001029 18.436959059020012 10.358204366532433 11.733576465863386 8.556033161247182 16.678316885844055 9.80264841320303 16.0074593364847 16.95957030297089 19.87986128164289 16.689754714385508 15.387625936874985 16.24932710421498 11.6436716477504 22.94939240881325 22.809917614030926 16.972247179966885 23.60172558294048 15.262589692542026 10.615958567591736 17.361223613060623 8.47958955070487 13.139073627459455 12.647827317165579 14.600694876256304 12.887188351024008 14.600633297325064 12.671588045185961 12.623314578546726 19.35073048882483 18.500799664769723
100 16.628814854987837 22.436257294442196 14.712515763824975 10.698025174192876 13.197469168847043 17.72716965088607 13.343307161765399 17.5445495651384 17.126115184779383 13.250391165317527 15.618476274728874 11.638342561579575 15.341621046760968 14.613448798503942 11.395451072622995 18.292569055315116 14.558333778670583 16.345670365099764 12.319048538745621 18.28650199426624 12.312251492612479 16.259642663911592 15.469205952147473 12.781027164596846 16.75746164415749 14.48356648944717 12.332162454840972 17.233781841075693 9.69972244576248 20.30055707152453 6.776435548387908 11.7602469422487 7.71902386278288 14.86272726125381 17.45651271975511 17.276214983796656 13.500825620706609 9.248549768542158 19.277444265468894 16.56676648426194 20.85520175744418 15.098241826504331 13.137226120510258 12.250410689272327 12.240333451202996 13.367620095049272 16.376801736922676 14.833156362184294 19.66426914870748 15.912759438872163 14.428060016012536 10.732112704764695 8.599361439755958 16.56524141100588 19.764535669307133 23.686948436709528 16.931262493396382 17.351280583363884 12.242318519014903 11.42337235681445 16.176364896874876 10.721348802935406 19.07664635626399 12.738271378250552 15.701359915345842 11.357533378494708 18.61536869853576 12.249669102690872 11.64637761554429 17.036357779348247 18.45825044870162 12.803434209963559 12.092908541430997 8.545533833777082 15.674765852016469 10.527663567970192 18.274285249186594 15.420488614143865 19.812516826652253 14.726477771034247 15.307836547993135 16.88114331300715 10.151666341243798 22.262469645465274 23.025615064653415 17.504015265349334 23.800503371026792 14.221811561985463 11.539998993428428 16.92529700914908 10.397382314353068 10.611808545257077 12.764202611029337 15.254113202703984 15.049437589936755 15.01809258655183 13.50347889341077 13.605014693909363 21.025953473377818 18.096864212819092
100 15.024486454373026 20.306332088105385 15.944052433370057 11.771058503847367 13.290634850360778 17.11828047123013 13.992046479567417 17.970905926713478 18.052509678015095 12.152772959814811 13.702265023453931 11.11230720850347 13.881642516440918 13.057194000130808 14.099763985797988 15.423220048790537 15.607211050759918 17.80574992254461 14.34766048063199 18.753897646269206 14.513169626206746 18.881222075026763 15.443812275131014 14.048339009830652 18.74622139980218 13.819303492176548 12.743954643619249 16.513359192488384 11.021419789718855 17.718192960249247 9.61430541637778 12.946302892497789 9.485947385732887 12.160336041063598 16.152508817278218 19.32091022551471 13.797161827658435 7.910700783078738 19.81872991076067 18.00063221109756 21.52199617331205 15.178556124177435 14.925598563371226 11.955618914048362 13.453856126787446 14.007976155907611 16.419517198495342 14.720710847006632 19.348944744527063 16.282110179470333 14.456911001680407 12.289493262434776 8.606309932495309 18.817846545397405 19.022297338596818 24.777104397259755 18.430501360517695 17.86646490845489 12.884471252526605 11.012556361984506 15.700177774906244 11.643068522186633 19.29953386415498 14.74885887756724 15.521533089787535 11.415086154116144 16.649261260881936 13.715764244455015 12.987382244721127 18.528638227141037 19.854402638365798 14.422385382858097 13.73151871828912 10.091001739003357 16.87133595296443 8.872942678932834 17.132848148456265 14.143608386266505 21.46627887224438 14.139334346029859 14.985651032944025 17.14951691964523 9.24552325889475 22.694286660961776 20.067789086408172 16.31604055488168 23.787171659626495 12.927092664553596 13.738616461102326 17.383800083415544 12.772688286082035 11.77558537665036 13.262756799774507 14.465634396657563 16.525237287696044 15.883083813221226 16.772995435544814 15.130714120912467 20.43054439686225 18.602104573165942
100 15.91350018115193 21.923093192520113 17.935102059061155 12.257645690008566 12.12746321361481 14.906687544988522 12.872797307675896 17.32211915857591 20.238809770005176 14.553182709432036 15.471192166503485 13.4096665633165 13.367678656256981 11.471454004878982 13.246096386950164 13.07300710058561 14.51534182114364 17.316672077686604 15.151273518438218 19.000934458432518 13.93201697072985 19.72343048009547 14.939661087040873 14.647077721158697 17.480757756559015 15.738759295714184 13.465965963315577 17.54313188061652 10.058547872118888 18.026685748088802 11.107944233760625 10.688703229128745 11.864923148408453 11.10902986771195 16.573538723195835 21.596273160872215 15.540127253920927 6.973781487723201 19.798002006948106 20.043232622257012 20.385579496112125 14.978948354836271 14.596081340264806 13.333477526349274 11.872291831655748 15.235616666895513 15.821183050188354 15.092672314931777 19.211164815258172 17.359408825680106 14.834515086528208 14.644964377222873 10.591914972030064 17.82565697712864 20.866066347510127 25.00424381690712 18.783292460111987 19.227967522216172 12.021645882101948 9.784359355164767 15.963666399582092 11.417454041473293 22.25847694074905 14.072667073048118 15.996387493026438 12.226988032651528 18.59606159554886 12.937649556688584 11.408356978739503 20.449028118102298 19.905534890360933 15.942276714045581 15.275990848139207 12.061001334042789 16.491454241598746 8.89066235516417 14.911036814394476 13.310396122550571 21.424112589576648 13.70041581205419 14.011791743231761 17.45299747223409 11.766852657621948 22.526153502800994 18.63227357998032 18.40121938908289 22.511526648850825 15.266176523375215 13.736691728011909 17.87923620580789 15.520278226856533 10.624991439117306 12.371037063353073 14.60522554756356 16.497738712108973 19.541903945715248 15.926837395741405 13.765744335926735 19.180784481855962 18.993826080960147
100 16.807818234346218 20.98729595535992 18.07592165796709 15.402819773493029 12.644911918687262 15.665878641927561 15.745899425130768 16.573170585177582 19.306849102316058 14.169384725233769 15.145749868963508 11.531120823472877 13.9622039738749 12.224487400959276 13.4895877542375 13.83668209377928 15.260859666124842 15.797781161587281 16.01751887880427 19.77573307367919 12.19139778267601 21.66158471509458 13.711874601924976 13.671758614929125 17.998679533588266 16.768611681206345 15.074590788475126 18.336993335875956 10.028294901741564 18.222276845280778 11.290310145564563 11.448090670012515 12.58872204839452 11.062043180354314 16.22944052494353 18.981793001895042 16.964118860723467 8.360606246808361 16.997517809324336 21.3396318570088 20.32749309853042 14.025652392461778 13.4495048716627 12.935718090886331 11.162229372042564 14.498541451730803 18.271674796025113 15.909818180583521 22.012033407507126 17.85439906522072 15.938887799881787 13.784033695569505 10.885741345968144 17.82872229011955 21.60587892878926 24.748219460772276 19.338210727035783 19.783352497367524 12.147156076812438 9.871536423404086 15.29103713816314 13.365669401969747 21.901341740567208 14.844496008746 16.153713562204754 14.075896173351513 16.196800082377145 13.867278486727754 10.371202761824016 20.9213756640559 19.661413540130603 14.348948532927444 16.007682144637165 12.801984929840195 16.321729254833024 9.557637003024325 15.626944235456376 15.330726406686415 20.903673642950068 15.489960125300613 14.50760402886517 19.3380931265288 12.006582222649241 21.582856723765715 17.34167407426664 18.611957374929858 21.319353422337205 17.31460006225877 12.92182371499704 17.284489453039807 16.7517836403095 12.814138863096392 13.826562456418946 16.498288377435006 16.539613464369108 19.40599369512192 18.889923904890164 16.368403733115915 20.166811279399727 20.48864228959368
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Frechet_distance/test/Frechet_distance/data/curves/generated_100d/8.txt Normal file
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100 5.726889792278472 5.393817704624193 5.533274802308421 1.2811164053674036 4.990408107916231 3.362973593644366 3.1537406773789813 3.0053041669014435 5.543435076881423 6.7304753063103595 10.919391719018734 6.445233981277524 4.358662002888808 10.79388035217739 7.62619071240311 4.893011843546052 7.820741767976572 1.1936122358092587 6.114018378209616 4.791209044579424 -0.5715958367494804 4.39463839036698 6.253461069396479 6.623744291536044 17.67756420182185 2.7575174482114417 3.641108693064382 2.123648972284915 1.866700868534445 4.408646198645375 7.977815275559122 3.0253569120151775 5.73218481728372 8.06525079420825 4.390791208043945 10.16562924611693 6.074660705940958 0.6505919905881923 4.444072568206511 7.074564318199661 8.26159092000259 1.2950259215360442 5.2947979515767205 12.711251825574331 3.6686668431884213 1.3740904807264993 2.7607259370686394 3.379460779737722 2.7383438979169914 6.404191319548937 5.524747768268413 8.659266264673612 1.3446576863732975 7.465003647898664 9.583657996710976 5.676891724883796 5.028331576519373 10.584822954050109 6.7562365162276246 9.11078299203866 5.946622515192677 7.349833536839834 0.9299842241309298 2.649446440117634 11.038164523649838 6.93009885034789 -0.2961173916981839 6.576883695651838 9.15732257249529 6.462718499378394 3.04649235196634 -1.16262549688364 3.92582066381017 8.58533050333463 11.523480388485133 5.747581765097264 6.468279916927608 0.03332381752684599 8.229585486689228 7.044853076867672 11.023160903735576 5.4880154127702045 2.5132937981424424 5.866413203711377 6.409361952174155 4.900736775734416 5.400062716495592 3.395701615206604 10.481111522919832 4.488066165439589 -1.1008511421122416 -0.43703172224801756 3.2568878160421013 1.9776162007580305 3.4640499266525757 3.990937931321306 5.232572707995767 4.233797936414084 4.597427642293757 -3.470473708194635
100 4.505340662086554 5.583907000624482 7.768932018544029 0.6681550618327583 3.7318290982195235 1.7933313678004272 4.8274306610375985 1.9396928135097802 6.921824323677872 6.982046793291259 10.381184049515852 5.763994541138216 5.409200878092048 10.240591559376293 8.207320326345853 6.057971187368116 9.153051998334265 3.1902087766001817 6.990998732766392 4.023594482984717 0.9769861168687979 5.918621920672249 6.684492925130162 6.876478238044312 21.10015367643476 1.8713203341034084 4.908270586448357 4.260645761569822 2.1486781942515742 4.841274345514886 8.066944658330563 3.8034189081080467 7.485144439276842 8.271398253204756 9.118337221992409 9.937609636474663 8.435666355688035 2.220725487891867 5.330287656136517 9.585796259203173 6.564175407564882 2.682201865462719 5.010016411752836 12.486394629507556 3.8460144048854272 0.8176461485430055 1.3319279359878364 4.644535554311168 3.3169944472095434 6.691201403541075 7.1649704788699005 9.790300268423579 1.7803347744089 12.025032581718976 11.422780049838341 9.494087405527056 5.15626486036466 11.336103119220013 5.6760307918946005 9.148496331390117 5.792758646678118 11.818408048383484 0.9196520390848222 3.043073393606417 9.532806331633807 8.279055597437344 -0.6219708837715383 8.310706697673043 7.317670631262754 6.943961952973206 1.3882437968589998 -0.8002923406608924 4.303331051494388 8.353067786873599 11.274979971182086 7.764934951308126 9.874574722826406 1.2329154982657886 7.716849009082399 7.668127079883274 10.96090607021995 7.352579400243705 3.5604528528466646 4.3616448025963805 8.339467026034054 6.772164973087314 8.006390904499968 3.479485083175401 11.30391638242516 3.5452865590583107 -0.3768403041788948 0.9749620897719633 3.1346728090220703 3.236085970772165 4.444716572607398 4.113384349811104 7.737595344716701 4.630812829101452 5.47312197037566 -4.392121229427689
100 5.935962077743923 5.493083399113486 9.582143314121575 -0.2310562440877637 4.981308210857197 -0.3261041800991058 6.255838514404198 2.553748003364488 8.030334728473775 6.852283992004979 9.622024066178966 5.829860765346154 6.37690647407299 11.430160657276888 9.150495567911335 5.417642535111332 12.007763480887348 4.300286951278366 6.790863037343687 5.190372218057274 2.163408618226945 6.279950283201744 6.93592166053441 8.75740820408972 23.400312142197894 0.03720283630439836 7.0637706996437215 4.953289720973923 3.1518811180741424 7.215419661066053 5.2076859882207 5.587868419006968 9.646777366330998 7.819659975474505 7.771535563865002 12.430773084730042 6.607793729713869 3.539584773018095 7.349184628097047 10.578695280554266 7.7436368504867 3.092210379472871 6.254064713731499 11.908359001026348 3.8709902283093167 1.5667058621551844 0.09259481260791969 6.081500236923596 0.7150923296477476 7.811502781716417 8.326030741738835 9.239202478874468 0.9206584422429351 11.879181176356001 12.67888824882359 10.403908286858297 4.356544719878067 11.857511604583978 6.578918904480925 9.888005228359805 5.106924242856916 12.390560350967583 2.9808445773282184 4.404814171140157 10.506674749165756 10.995851926824786 0.4334070167247518 7.668616602299977 6.778733309144143 7.775698589379953 0.3128678797675557 -0.24495612999765887 5.622827176676565 10.418292418470847 9.670102914942174 8.543803336970923 10.205815627197309 1.9701408710375248 8.512941310397558 8.126910599942908 13.161786418036177 9.58102953524283 6.958271719283419 4.94473116876679 8.213598198944752 6.033559537085247 7.866353452579989 5.141172717420626 12.818721535855108 5.046138004991039 -0.5005873009862889 0.9315767123074321 6.370356970729526 2.8940197767796345 6.987672096466724 5.323704401770015 7.349646426959355 3.75834960519995 5.225675151799263 -2.849200131182431
100 5.495715128586201 8.083294035695488 9.837162070172788 1.5808270945941818 6.4668233488709905 2.645138281465346 6.292202623462314 3.5625717155416567 6.787748480436807 7.687236731732183 11.646014500962373 6.786052633468645 10.106559606241914 12.521780216370281 8.990721174242545 6.656251052699536 10.473023807191492 3.9348619937633993 5.868463296000485 5.815606722502717 2.9427809073215374 8.459729204728347 7.47099108182202 8.010221371931864 25.380390597398538 -2.8390630187795374 7.609510365491837 5.917012307185328 3.8359444044527127 8.416717111108692 6.114210691070984 6.931059456517363 9.293728121524957 6.417257788570595 8.269748136336878 11.368798464592233 6.230499313064994 5.817103833667747 10.01868932642717 12.529005386424169 9.41047171349998 3.9576486943947766 8.203997966289641 12.763411716900691 7.232401053658052 1.0900253704483536 1.8380235519247607 5.106328423145625 2.3810509721305007 6.218702434124729 7.301515273277138 8.111616301583975 2.0829744630560407 12.757798221474712 16.260919324806473 10.735738565822404 6.086667263325967 12.453211987900358 8.034216660602803 10.526248475891919 7.205204254448532 11.391082981437924 0.632845991303717 5.594566278090939 8.584730896271699 13.19855119599742 0.5673576315467083 6.8314769511421565 10.903094716450862 8.358014107812163 0.9363916306013402 1.72741188260538 7.387945033680703 12.385038219993493 8.440147629204219 9.899842235398879 10.258280718743373 1.474827129713372 9.19319307885183 6.285574892964577 14.679194828121018 9.754809878655124 6.836268391368451 5.376879333898359 8.4375009682756 8.105090884827316 7.020154206078738 5.351561343757833 12.880372237341982 4.25841403551837 0.5028505608089949 0.8615843958778129 5.137179580927635 4.383808758880447 9.632867378495591 6.062766463663372 7.83608122582253 4.349269854868184 5.258697581267017 -0.32987026674601183
100 6.322077959817494 5.668172235914411 11.870213959599537 3.5771299886748475 7.814435568992725 -0.26489748896096454 6.846315292676598 5.486037122949366 7.868329694204142 8.566179712062315 13.22569201718859 7.546611124502921 12.182453761989816 13.07040894676567 9.605594768072546 8.361101467720337 10.358974353951835 3.145651044724053 6.52151765866355 7.114959646483446 4.905524416834565 10.144588193076313 7.9724243440097915 8.332476665276188 24.48396192133796 -1.5142241486050458 5.910989962159128 6.534934566833055 8.155956723224877 6.920288434239823 6.984385583019556 8.006452698762747 10.363988301368945 5.676190955973155 9.434896475270586 10.970280792230424 4.916781312244879 7.667892501142836 11.365398338353518 11.619792709565196 9.023465612101338 3.894623328315542 6.567132405115544 14.081386246144817 8.897316116360098 1.3397850667644886 2.532617189670123 5.913799047489395 3.352963189517014 5.12688273973457 8.490417733480179 7.129461511246346 3.690723994079264 11.722357699746484 14.78634306916502 11.10144803546336 6.61868216842946 12.920093676502729 7.329476028047906 11.18008919307775 8.12080200689004 13.289346976114121 1.7421457122049098 5.363059130242286 7.306572190016027 11.576075490940603 1.7634670950481282 8.371255532559891 10.139262077126656 9.225383671262366 1.5118917087953165 3.5018918632543787 9.090827939116979 9.805068059569992 10.29813475191349 10.7794687740863 9.965810480736462 1.4895652984224705 9.77640844262586 6.182190692145247 13.690651398263299 9.33690382612023 5.949851354842737 7.673718746671124 8.908714777797579 11.490405506291557 8.072200527758715 6.761550736409699 11.814664395399875 4.559254139376861 1.2906935099374783 0.8406359915108524 5.131932301464965 5.611548923489432 10.678708678350928 4.918159177975574 8.757807192265227 5.738611128192788 5.139971135449287 -0.4132777585645624
100 7.604824798904099 2.8723788016577823 12.284812446924372 6.413942112268154 4.9780626099982275 1.6460050312690466 8.120248625186086 4.337831456559742 9.118727203398043 10.477252984971217 12.065785969991234 7.20699456818533 12.665313826264597 14.67525678213898 9.412765479553409 8.807329047643698 9.927635727719244 3.887491106914952 8.539463825813073 7.7580176634918585 5.158035671488138 10.52968729228812 7.534800994322164 7.602601858664821 25.95416123007798 1.6147983430872317 4.118226810846054 7.887228577229394 9.731986532802827 5.8973511487325805 7.037951169717641 7.827081792827763 13.22372124008197 8.403340027511204 8.7095715262389 9.404816044427664 6.554245292456781 8.942046565846473 13.43381865429357 10.651271353405896 10.320095278501633 3.677884219775348 7.979380456833497 14.320551191598323 11.955887529040309 2.6326611468938483 2.867781796384731 6.754358304203083 3.8718090447222107 4.373608297103393 11.526445734502651 9.829723515111999 4.154499976872742 13.047775968457296 17.747120461236324 13.119010769915759 6.828310255550813 13.136557518998586 5.6107507022409 12.571375330732259 10.256479374992944 15.234878045817567 3.524109905691828 6.411418998001321 6.567232640452351 12.452422174040345 1.711078337106328 9.524061381867227 9.596896272068157 10.428343211838673 4.0556154158634445 4.803512437043805 10.053030875314322 11.494548512236102 13.063516980186538 11.185154094505094 11.077940497746832 4.162220179049419 11.194427132453397 4.167715964336713 13.04745229136786 10.863711938715158 5.962349839271868 10.022454297887732 11.72508130708492 11.055936698951998 7.286357241038457 6.911660680465167 11.650431836232384 7.1617605344461115 0.643922332006724 2.661823824758193 7.570675225952202 7.343624973041747 11.701661681379568 5.386655965014087 11.705914132024912 6.067891921521202 7.0649127976233075 0.24828856928370885
100 5.967816501218756 3.3045398371854304 12.538745539677853 6.908099042328191 4.892457766352572 3.3379674931791112 9.67038813731579 4.837708775959682 9.312191635350214 9.720338071556737 12.885970700108043 9.68945470720846 14.954112808327094 14.201269604689813 12.604546906107956 8.895441423384042 9.132322144075806 2.903524508001067 7.799579111641708 8.7458139140159 5.643546870937029 10.185054909106977 7.156625181909005 6.882316267933294 24.611798683773983 3.9348101164963154 7.178259727122104 10.933897231094443 11.077452433512567 5.951922435881138 6.941786635693267 9.482500691854108 13.206926270274527 9.470443454436573 11.805276042671329 10.152871548974623 10.165730771926267 8.069994847464908 14.432742150358642 11.583566848299006 9.387371265791273 5.584665962598728 10.595972492632228 17.50558590802908 13.015264396343156 0.9220242458538039 4.334188990007564 8.443688207167646 4.293864832743895 5.560681820999181 11.361002694690303 10.238836937772495 6.258361074249951 15.267783031707664 16.28355434455923 12.82582790475913 5.460307541570645 15.899526756288358 7.428916506621384 10.344353778765335 10.666255674679165 15.138606602388624 3.4607308710861666 8.390198452045006 8.570961490976597 13.292668809229058 1.7728220660616123 9.187361417648654 10.205642455748588 10.385875739953693 4.873445309329535 6.40431931574817 8.63149879333161 11.00540306893392 13.415720879165011 13.832497966201306 12.624521170319738 4.841970460509121 12.280706752718357 4.823819393196837 14.81467617942085 11.988159276022584 8.24307739185798 8.692389581871925 10.997343432132563 11.82206488805701 8.615019118167803 10.744261764397056 9.750768790493227 7.687758053445636 1.3883835931803137 3.871383706926007 10.43502799054393 9.168246599120263 10.092821578315034 8.145627196888373 14.143606333306753 7.145856235537059 5.666448139556078 1.0253464469541669
100 7.47854828232432 5.414153481819124 10.712518155494564 6.609581802809464 7.152049847173392 6.137131876206415 10.778002804378515 7.263979300600495 10.537842516037264 11.666293638598404 13.553330949019012 10.915946762818523 13.770760648155887 15.492756962078671 11.445619138622934 10.42633153438982 9.168236100838474 4.28102641776911 7.307784004875039 8.629504044793839 6.9732224037143995 11.69546742216407 9.374075695836996 6.167670282019753 22.536010657350303 3.6091342841822227 6.389809373259537 13.467993583360489 13.229441714217689 5.396927918731049 9.997081748867611 11.775453829658476 11.414296787184076 8.641243816072375 10.104383814705297 10.498025873882105 10.684628570718601 8.773285718770028 12.189453904852515 10.238042610738052 10.148305348959264 7.213720023176251 8.496154622095188 16.008038437605258 14.847531239240382 0.23828625810587378 5.140027437451177 7.410754695297666 6.130668286915927 3.844437258393319 11.47011067814647 12.062706908424953 7.771245191172604 14.985066274409094 15.65798409347574 12.937099086630935 4.606165655959108 16.016043693857934 7.955155380850545 10.32508419685852 12.472587099308637 14.043778964479497 2.232870254961822 8.273978189704328 9.356046229713128 13.631989797839555 2.532118316667781 8.262649048422235 9.485270011886694 10.344196707672396 4.974549504961719 8.680365202262239 9.665802917502063 10.871750334043893 15.243734290446666 14.921750653621514 11.253365000154709 1.3229474500381917 11.099547295810325 6.404671787540236 16.26851193651223 10.367789786096104 9.635015138349289 10.035410689869837 13.194150225389443 13.453265012070263 11.0345621052936 11.929412352640446 10.929610370371918 7.829380615392515 3.319041934259893 3.0362954611512833 10.750448767194158 10.502977517089736 12.522646520011957 8.190699264179136 15.779181940905618 7.617827157704622 7.781508403382058 0.9835887094963853
100 9.196795169616454 5.950616744684697 9.717882951303537 7.090181753124523 9.53992852905354 5.4674423862046755 9.309251816276566 8.53894778926602 8.892691882884757 14.253842913030839 15.971324372012711 12.772079045120062 14.201766564386922 17.923139070696646 13.69980471640364 10.215685836915153 11.611352610140576 3.8727113742299313 7.784779467570109 6.814010341987164 7.89947890484454 11.73515464966881 9.423369410321738 6.72897777480579 21.77372935627692 4.572785815219967 8.665078352063771 12.425603519768943 14.62591359444966 6.407291934714684 11.111105271183629 12.210351996954738 10.884316466064458 9.746182010680615 11.300104479637918 9.87281861994329 9.387363076305075 9.494265619619664 13.65900029368581 12.098150101866878 12.073094091251528 8.387880967688842 8.76223056808098 16.24282308100488 13.611827241147644 0.24661433174974823 5.809865701436141 7.764679658293769 6.869849265693765 3.0050897944612798 10.445681813592765 13.544986107739254 7.290329985462005 14.42453061528617 16.082105280127273 12.11286087144053 6.867735244472637 14.609542982577977 8.529987688225214 9.849284418615886 13.0600212331469 13.735600832266236 3.202122830265403 10.404464930503941 9.012085064446502 13.162477830154183 2.9868849531233765 10.738400187392488 9.933863025736324 12.512648127617831 5.533382101997324 10.911183002013999 10.79582566686747 12.128831289256123 13.664467329067351 13.28739905572998 13.089372794492501 3.5410018169848616 14.823619954906233 5.154759393398476 17.103111583275076 9.631288605573214 9.106601447377578 9.819764029608146 13.938980851833353 12.879242129055315 11.57849949797137 13.47007386267526 12.890526208744689 9.271734313834507 4.623829984292169 3.745571395261071 10.463781508917565 11.733103335362374 11.596488695946945 8.97435333856025 14.65399692339887 8.22920004010881 7.088647494712927 1.4121627536501031
100 9.007968789222982 5.552481089732696 10.207327612666747 4.599225547560009 7.745534750657761 7.208263178009288 10.043225923529086 8.293895175222556 10.786078472016356 13.845790109039623 15.511654315578548 12.16601193188623 17.106801131413686 18.368752391168677 14.344242534281756 11.318937902125837 9.650927791387522 3.905244162157397 9.090121634912483 7.424848562367144 11.46007420747107 11.463279446235427 11.289217616018199 8.530057123097219 21.990755405522304 5.8604048424249555 8.779064751435055 10.256355298829892 15.283434255022634 7.647297758146658 12.446289116159196 12.748050493679282 12.579761335682985 9.092857401632237 13.671241468188281 9.040353809786437 9.762152449796085 10.956304961906309 13.404230456720333 13.531484709384708 11.889095239799936 9.176328694424331 9.12587661043581 15.720059509548562 16.987067326820473 0.05752769074152542 3.5475504897302477 7.407471996021198 7.626041294978202 3.5151807633168595 12.30030339841805 15.221302435118526 7.509162811499709 12.588352687971128 14.694597749000765 12.504012195603018 5.544311556461437 14.43500358816458 10.924781779085606 10.821514809555849 13.475835899157607 12.740158999741716 4.395238579257985 10.50296074286197 9.894672279514971 14.571043239552477 5.002851779087848 11.339120137815502 11.145483667709398 12.300981181461246 7.771384840544654 10.329809031547178 11.071649261786144 14.210459038069045 13.411364068954946 12.059273177805775 12.906673884183894 6.082765631719819 12.255613720851732 6.041307112475955 16.43948594264878 10.051587521436597 9.119319910216479 11.520610486525648 14.21932746947729 14.514841488052532 13.723348753500874 13.890218709523744 12.818059568608485 10.232192733626826 6.019258729879249 3.109431588551896 11.242435508480146 11.872137397146329 11.54259286644164 8.668573395353373 14.175460547842263 10.499632011536923 7.334537920996354 3.8333881750166277
100 9.897598499249007 4.756642015458751 11.048453350235587 3.8685606001744954 9.196367178597775 7.558851485376135 11.672361378584005 10.885416548047607 9.07194763986403 13.703072175081585 14.266411700390321 15.428445977193189 16.814792709306246 16.778753940156548 17.622489405259767 10.825799640644949 8.109550615690049 3.224606274830623 9.938986635781172 8.08438677904379 10.892571708750324 11.283112684978649 11.914278815596397 10.927430055042786 22.444453462501418 5.948217985898409 8.980781218036652 11.781692408487892 17.641017944974948 6.845908939333338 14.411830989904518 12.780524708738435 10.822091018850994 7.245009811148699 15.751872025400719 11.439300280735921 9.531234150539015 11.193967084703914 11.527169894668404 14.916621830315153 12.131072218225613 7.767997730000608 9.987998812478658 14.175590184078205 17.98969442107279 -0.41224381887223227 4.837967968089017 7.284514932216424 5.111278757917772 5.810190461032321 14.110919258672489 14.862447193904046 8.504303535517925 13.61819625181552 15.669990713220812 15.171052397389701 6.888190440355854 14.291533039359733 11.913210508763509 10.750895602673044 12.434347414161286 14.747384225324195 6.0081944603295 8.52412570357611 9.54617327992186 15.955619403512436 3.732258882584546 10.772833570882689 15.10086759246611 12.348562415649402 9.844164227085702 12.899744350115819 10.436268047355908 14.930787066463118 16.484981503453547 13.25255526026161 16.352788289039733 5.869506060392282 15.125971398828563 6.789130233570003 16.21485121231464 11.51671536904904 9.45246978851577 11.783003980943146 15.051072280827649 12.406739496902036 13.057207490793404 15.198671773422753 14.516812213210601 11.12754964659186 6.9743843288290535 4.554104257393797 12.93011059003552 10.492137711739955 11.38941460769696 9.197300268489009 14.800171782551576 8.289517455536064 6.4255767135587005 4.64040305104597
100 11.911124358098542 4.95917224590431 10.749714147566003 5.441578393401652 9.374719278954592 9.328518038257448 11.829806000132905 10.04503359974088 11.577802420642325 15.793683778546638 13.43400128423622 16.232897701509465 16.697641508946123 17.79740813865866 16.67889918896578 12.454887749006078 10.338505648565809 2.88808114714208 10.667010965315098 10.250803922728787 10.161836105961559 10.891304456391087 13.316462868452291 11.285295625726699 20.39221874811005 6.3780554682958845 11.757388977173004 14.922062751976657 16.859921858997332 6.362525504642692 14.242402556222498 15.576929479967303 12.383213482867996 9.7933929957535 17.292162621433068 10.11776238090639 8.838976475955212 10.808492337138734 11.411192564699407 14.366168300578783 11.67633526061689 9.31285482966345 10.734507298579814 16.12015419358127 18.548972006704723 -0.29140321181632856 5.894788579997345 6.080309772642439 2.8296706408401353 7.554911809550513 15.793883762355332 15.308054133013888 8.602117751269121 12.293374812150711 17.509554522714573 16.100776377526763 8.023428120561173 14.627050136694068 11.695573270824072 9.814473851531474 13.178393503930522 14.371668266213987 6.319512543915107 11.326967498783548 10.06411797086606 13.103509441384162 3.8991661225567293 9.931083113653154 15.211033732494087 10.99026456934223 10.98152719859921 13.01276465893404 10.420072041392984 15.472926223000899 16.62420869621024 13.628665999068437 16.252010848648375 6.493176135991995 15.964629671639898 7.784044708847688 17.90119262408338 11.380507414993907 10.239448935731616 15.334614174868989 15.159550608186093 12.77394936634422 11.83862416083907 14.58073457455338 14.708053075536467 12.217871926630467 8.38357917422307 5.853416971314094 14.339598648992204 9.762932329666565 12.562124497285708 9.834083491669837 15.31154834260187 8.495797669578948 5.991120069865131 3.87534006170757
100 12.91487471536727 6.347288308768359 11.170354980188456 6.224818601037612 9.037312004036167 10.510785651515906 12.3479012215174 10.23103929412743 13.225009522090856 16.99896755204978 11.897167508443127 16.543137085821034 15.768216397227617 18.13627685503917 12.831225887498208 13.11775641675825 11.817659311663357 3.664325440381467 9.755939630952916 13.260739385616677 12.281036617663167 10.704119147972603 13.443147480005733 9.260283648484378 21.11977542576999 5.4255647024038725 12.975693721406051 16.539212960858542 16.860375907046077 5.714925526675421 16.304656287316746 15.877995374152569 12.885353905070595 9.087179378076948 17.69932695352444 10.32536102354245 7.696213335849636 13.095488528449968 14.271091843508454 16.054710140302355 13.109352371381654 12.23686727084916 9.904251708100636 14.9936859317923 18.211978138684955 1.0958074657507326 6.271753389201278 5.588422052426023 3.6953401163540125 8.24791830090889 17.15365788880844 15.694904180643352 6.731307146796343 13.292207315335874 19.786184242198306 16.37700522784241 10.00391076372752 14.295469350510748 12.83890660884945 9.41403748626685 13.234073709533812 14.40938106446056 7.789916376285531 10.66994580222975 8.714782965943062 14.215665319314798 5.32089619184584 10.588411803357696 16.710682164824814 11.300820880915483 11.860270702569617 13.052775645390508 10.69115970589694 16.234440809535933 19.803414960560456 15.127310662833397 17.16289954600737 8.117769695459806 13.26011534104743 8.858912202535208 19.211960865742526 12.076427896205393 10.619320398669103 14.285231016247588 14.752784584196796 12.042134813571362 13.63391170354377 16.87935295803293 17.54455675210977 11.450517209815493 8.003778743381773 5.686189400987628 13.302092581782684 9.07505077037619 12.366188863293267 11.55841729263122 14.70072962193854 10.535030103367198 8.60350387212451 5.109638486258436
100 15.087932251723176 5.296347017974865 11.058239253369122 7.293900255687509 9.998393921615273 12.869370778571252 11.494311243360558 10.239385338869319 13.578867018425301 16.648584760470936 11.135606016054517 16.171906544478873 15.849654938998608 20.16815350692128 12.01319511860165 14.577983835889304 13.981166420615752 3.9490706293783204 10.804596602513973 14.330469507963425 13.353872289187846 11.36866911848315 13.058730892103103 10.84369756513318 20.70985514696014 6.4198112171764254 13.511288665754337 17.859972785571 19.46631829215047 5.59487065305501 16.721909027159096 14.25344401530236 15.193797949203505 9.735664254065691 17.454197666200884 10.892152655869287 8.534485746225686 12.594727947431913 16.26119480693375 17.18486320714409 14.369926292891265 11.855802491927458 9.578026333374478 15.187851367958626 19.491665632944365 2.7480120089654085 6.059667678492977 7.392263645160258 3.3099334451826157 8.23054743084146 17.563679713393846 14.505219223802225 6.250910875248752 15.788679032061106 21.66113598245632 19.595636882445948 11.224646374679192 15.50698216610708 13.009718553883898 9.599208525340348 14.772424806203254 16.5553081101703 9.645377504097658 10.068507506006915 9.909550532133192 13.689764530189287 5.74434619915904 13.229787793242469 15.37020859007076 14.724052621280926 13.077352562723513 12.981589395786159 11.42234365594144 15.64357592249488 19.1489510558223 15.709504746564548 16.89375334399959 7.476830228482595 13.516322188703892 7.800023318863655 17.61582561890094 11.003149547035873 13.241909840546812 15.064522984664988 15.722538529122083 12.483694017252883 14.719746043445864 18.642331628495636 18.24822727522686 13.99676046383562 8.509814263569723 7.351502735878444 14.592393185217146 8.573672127092507 12.948589741279712 9.696027228248331 14.91948045153773 10.774011504174089 8.907883394005111 5.441311732495214
100 16.22612764046399 4.984003387856065 14.140816703489087 8.842428147621298 9.609695969081418 14.091216284784565 13.320553764669656 11.475343608182278 12.745331773256591 19.927060327085584 12.653322541336435 14.840519650455747 16.545259307338075 19.908320931914623 12.620006887813313 13.358718524050849 14.45493606995059 3.868442039081792 11.04232882763925 15.107367750428523 13.240261633980177 11.544695182782027 14.683915743321322 10.357581372639398 19.97632122344412 5.748296075253803 12.735080297522082 18.16339624567322 20.23225487611548 5.453556545184554 17.860847741429176 14.824404366807212 13.653778499820868 10.553344099016448 19.17777935384209 8.929351396628352 11.840727066166197 12.316818938419766 14.463409702450702 17.60295835206654 15.625415283633313 12.055140068693536 10.677467770368196 18.29679152604875 19.931318857363344 7.587310739133816 8.57344811042692 8.342491776178273 4.655237000683444 8.719134322387452 18.080625132411143 15.670744845552555 6.584379078049559 14.3426506025957 23.360829570417724 20.907855065016435 9.982002087750507 16.049157979487703 14.732381634938493 11.474171955617578 14.2023557113981 18.092429102889007 10.43456151004117 11.13871373142165 9.369768082725232 8.699496636354851 5.611311524371341 14.303802788372947 15.426225025666053 15.990162567676396 14.973440989056828 13.12942829398755 11.504653966078532 13.160586542370767 17.240737271753726 14.450712372834733 17.804883262446822 7.715080442579975 13.387655338286828 7.722947742776081 16.769841594252004 12.910137816686762 13.671967945254956 16.57170261405239 13.016128547179413 13.604391342942066 14.477217425107938 18.411062609686947 20.1462892380069 13.765085574356753 9.709692744172882 6.868039170215093 14.95591125865034 7.29898350277978 13.399957280267946 10.889312284718837 16.758492357472296 10.33963143495942 8.99816092487609 5.504796407606537
100 16.29128147888245 4.586232748945511 11.795033950572158 8.191700540085376 10.223263435385093 14.196881925709489 14.4484693663217 13.241117102804447 12.68716501325162 18.018305887664585 13.760585946905634 15.204144057162775 16.585105626319198 21.53837918477927 13.76114974752926 13.929376156834781 15.03787766155071 5.973060037244869 10.818763406045369 14.183828554478445 13.446680311395982 10.55245963577706 15.07404989421541 11.181063850255804 20.043892609289916 6.2769295319881335 15.226936322715778 19.501170363106997 19.99064468287432 6.485676079442652 19.91963730686371 14.45886310739418 12.75565323718665 11.382226644245366 19.772660876806277 10.18767158278046 13.39544747284406 11.895755266724438 13.094726523375623 17.05244285821394 16.47349476305949 11.404496231808352 8.781954025930098 18.63155228688467 19.3366231110053 5.981210389479846 9.370279675540164 8.65647927807346 7.706840250322859 9.70160515958928 19.0000558618268 16.004986348851432 6.640001940050354 14.149822495640791 24.636563357342382 21.84023571918464 8.72479970413013 14.708552167118846 13.453651929930325 13.399696806946038 12.319346193339431 19.272892785082675 11.666073143847306 11.82121180094055 9.442414900671462 11.113432745453448 6.640403395366171 12.730259114695508 14.169193864602047 14.18745000071403 16.86500475427837 15.545706864005735 13.547961999337499 13.495618636668747 15.61499241632075 13.643735042179479 16.646009402164132 8.29150216584745 15.762623399569064 10.288819264235324 16.35637886649298 10.580104890980088 12.433705835577607 18.235187036742648 13.63923208602818 13.49431821240377 14.324527677309112 17.584079198874523 18.59536539351686 16.747657710114378 12.422355922810308 6.666785500509581 12.966899883897957 8.392158861213144 13.701689000822247 12.316108016961984 18.14729455660936 9.472680490837364 11.43032572635138 5.93758793913155
100 17.487360134520294 5.160910560625772 13.629989373489398 5.8963704033902475 11.843968148244306 13.41759652229976 14.892689002721097 15.435043407921277 12.193076460462667 17.058824645883814 13.80655852054693 15.004301865483319 15.607134676812333 21.610582641320832 14.46531951265398 14.918711014214528 14.316510376254834 5.640031263311867 11.37798234041914 14.157258368124968 13.669026065877421 10.260038932863168 15.94258502565381 10.623393841105225 20.043378881820693 6.878650575020599 15.369455604667346 21.0700854861672 18.178595193796696 4.2520628038611505 19.286556570469852 13.396288958750631 9.271219313294871 14.149988284960102 20.51868222109947 11.615921492851879 13.414991510119462 13.02278190997755 13.118260318810176 18.36587691213938 16.756615602062677 11.969780431892596 9.603475142606499 20.666568861478638 19.742556179146565 5.415329337344992 10.479394508835771 10.117668983859211 8.216395685981047 10.466493402328055 17.714758655420873 16.478458313967035 5.921102898231799 14.294613291271423 23.545116606893593 23.01323044174044 11.52892100197012 13.605505219680964 13.817301935300382 13.432982987455572 13.433055129632852 19.481528564292727 11.819041152874755 12.40670469050204 9.871813600886664 13.91619877317417 6.45326787205702 13.487590012417542 15.247022494498886 15.228417991373975 16.6924169741537 17.745774859301957 11.348042642699737 12.59137153661789 16.825573915049027 13.139012067049816 15.636350894519554 8.304598443234017 15.172206032106178 11.738320555889274 17.78998320973615 11.452922876395919 14.178422003982467 16.442204784258642 14.029515900445395 15.619674555627192 16.02018593768789 19.66235321054399 17.948511966669923 18.036490487225528 12.179309052798814 8.353985488891116 15.108561550017162 8.191669368016345 11.780630449100206 15.253863659443068 18.9754715704356 10.071242829690833 11.850719473077229 4.108488020241234
100 18.07436284089313 5.323300030712264 14.195281166521774 6.843034528779038 7.988653036257359 14.400416523316707 15.448317785589085 16.270243507426688 12.522779735744985 17.466933500767286 14.543614137069337 15.730118571665818 16.667210696475493 21.909189205836494 17.308535986458246 14.286400944037227 14.211843226099386 8.733349282328879 11.83431373160281 15.654369893528619 14.332640595632578 10.593577422615933 17.59487966810658 11.9841294702664 18.203301318997276 8.037666196994028 14.247486301371108 22.645821807273933 20.478017590091753 7.688226663849399 19.928981682261675 13.289313208931418 10.340961854275022 13.22900493869845 23.536249128963224 13.619857495847501 14.189836919318589 14.808712712825422 13.035178495396696 17.08643660125951 13.896946562488484 12.636716633226689 10.028777790445204 21.333119650781775 19.91601143515027 6.8209731175562665 12.114409958837667 8.925973732230732 9.99127642066694 10.697664999914233 18.57097809850041 18.113977021902695 8.14366184034723 14.911178643913155 23.634102225350812 23.992906217572298 10.159566546231297 12.815968926394502 13.789964819519753 12.123274687643123 13.502311880778116 19.12473358778434 12.561218371996903 12.745196652280788 11.923075885259406 15.19245695918933 7.195471642779078 13.415462281423949 15.51794989411014 15.578958808127519 20.18720606178144 16.11514153951317 10.791734177617645 11.760644824220215 17.434001306910528 14.093473262974685 15.163142874247956 10.072624118706116 16.111380435691768 13.46644735561634 19.510386985968236 9.36250184138198 15.317739972259487 14.893203099207792 14.611731485048193 15.747008047705023 16.282837827062803 18.16395057575646 19.448063313406095 16.36726630840383 13.474592840612047 7.269796087174402 15.369153939347385 11.360344017612954 15.456548504667861 13.47630329422552 18.193091717985865 10.070210510944127 15.368614126667543 5.013113343522175
100 19.767869074047944 6.614266055437101 13.128650026708305 5.329993187357001 8.039603716312389 17.71303198428028 16.075798661440693 18.02611102849006 11.264295195447678 17.384215774396978 16.05267260249673 14.655625332665576 16.98203327683651 20.67036738937041 18.65067832341239 15.183132692792142 15.517751559931517 10.602022757955238 12.210092017714668 17.158547900487516 14.040893393600877 12.057905385285617 15.311781488147115 11.65291984833483 21.50974445942816 9.749619050045995 15.305822718617737 21.380535110806726 18.913290158393547 8.171661394016517 19.986384012170767 16.31394471490881 12.28746824720693 13.758162558691454 23.373386439141477 14.946473717990132 12.826318852878034 12.708724485405623 14.603305737212375 17.443360787147004 12.413241937616204 10.464793896525613 11.906105653270043 20.598593572064985 20.591640668139288 7.224084501145384 12.575709184829387 8.9976626874514 10.457001182754231 12.245331542160844 18.348122740683635 17.893560119543707 9.723331069951467 16.22445399731207 21.99580846286869 23.693068007286218 10.199681970811127 13.36934193550309 16.01569909807458 13.136093868664991 16.76352362148615 19.507832575986434 12.965863478016805 13.137403862649272 12.670964908744855 16.090703045023776 6.747220479454694 13.504343700596781 14.913461285192486 17.30967953436265 17.671587933343616 16.717991338997003 9.551695739647368 12.985893464809221 17.148982901133476 12.3664634016468 16.712838857904405 7.321745403606878 16.495112626050954 14.787041992348286 21.344901629432496 8.146284674670271 14.831640499283488 16.54924804529216 16.343342019091516 17.64086084042002 19.91768695137736 17.68156585389136 19.99691037082332 16.04529238453086 11.157269733415177 8.062538241007237 13.062002885888084 11.339722147619705 13.935695373507082 14.523222971335967 17.379651477864755 8.47631813912755 16.87209143911939 5.228236365230682
100 19.380095425077776 6.142997303717335 15.183733141681813 6.681667888010484 8.076734469016019 15.289252862980216 19.584615536726844 20.856535492323193 13.80684520947133 16.811861531544746 15.78605065919702 15.591797443047048 16.191090731182097 19.377150107253403 20.717114026374023 15.422574896629843 14.382695756610461 12.436668879603227 12.101278679910006 14.677338420870997 13.05543559161306 11.926679420049348 16.03379363366828 12.530764132758483 23.16602266769905 10.227858933375789 14.886567881913994 22.896056912836805 20.154925810270452 8.677332545948694 20.50491339658078 16.01301472627897 11.254363260153145 16.96028540502127 22.435077166212146 15.573734280726919 11.298776240304603 14.206512404823304 13.520043436280176 19.859773079839464 15.073409824974945 11.89737495528856 12.630301179080679 20.350703650869416 20.635811131718068 8.464772293329354 13.159687464005161 11.100290402659068 9.788872963266613 14.911011156861179 17.94826631066395 17.149081832254797 10.864141310590602 17.11832944194318 19.69553405020736 22.829589430431177 8.085494859695379 12.981138373823887 15.39420136257926 13.991244629878487 15.952701873995009 18.861019376576124 15.246043703567283 16.206062399801308 11.97695292244189 17.825427198764192 8.11398179479766 11.624930790887499 14.26053254421622 13.639455131071728 18.25674551304024 15.669892603860989 10.537581851369463 16.89742927631746 19.47080917450038 12.117760891572564 15.613488747306876 9.709897213880465 15.581375663053548 16.399729166651497 24.81694744973442 9.976108440280468 16.58748675095526 18.065723282179235 15.729695185341145 18.111260928014403 18.72022695437308 19.56909480185517 18.611678733218195 17.105290707076097 13.038502941167732 8.266496985565935 12.568766918888205 11.769091744094432 13.265380658450042 15.123683779090216 16.440945680074265 8.20839746310282 17.85105741554786 7.003874055050632
100 19.220806252555317 4.922881719342291 17.166570935062754 7.0987461121031 11.676471386335884 15.37638093228056 19.759620579451955 20.359916638843146 14.662449588949851 21.753401912207025 15.778009905938553 17.637256689537182 16.780243913215365 20.995666775228162 18.23353047121818 18.276102131321107 15.268485084423302 12.604959066558811 13.988094370336242 15.158486681465954 12.180795169304687 9.383453401391597 18.833449311193963 12.896183522562144 22.307220385733313 10.363815767827704 17.028507241649358 22.027507304605763 20.862393770644896 9.068370156015188 18.986891858789658 17.558254725114015 13.296203051735997 16.210740909207647 22.20040503670189 15.920517684781194 12.48472958106753 17.25006673059868 13.718181072585551 19.502982884042968 14.996603760297202 11.331726112774707 10.970437413412883 20.539129088661134 21.434934293165245 9.154706801818106 13.5491768350192 10.681898820654741 10.749600016070078 15.675431163248128 18.761929195193083 17.87638463326435 12.027213360487428 19.138344975548783 20.570756748506973 23.258369440077356 6.768099869648698 14.922413837249122 15.277207907945986 14.545452860328233 14.596505975150226 21.704870782784365 12.4991630561844 18.32816532520002 13.139419110877833 15.666626543935582 11.60833448260901 12.859578144530472 11.660344391775684 13.668812526696739 19.087994680077788 18.36701407076412 10.825980155620996 13.782010000183734 21.464465472397695 13.611593674621272 13.030749852671342 10.751583659191349 16.6690523968467 16.210722111748318 23.37869866352259 10.093090844478148 16.267664673151863 18.550684925761544 16.92434054663414 15.385509706721374 19.19659941267111 20.289712394194304 18.967117869335073 16.66105826373976 15.191314553700128 10.929892874112992 12.62157056149676 12.345904494139637 14.861978402801851 17.18330654081119 15.733502638404962 7.786151333221259 18.427619252610818 6.480294647779853
100 16.91575884617766 4.822889597205228 18.001157861278255 10.039952403127772 11.364077663913058 15.455282368681111 19.94746710209033 19.614999887968782 14.167396800800232 22.22571599835669 14.646316418849974 16.856331395371758 16.92221500788173 21.38347177028442 16.473722012192585 18.204909473056716 13.9462978198956 12.194819259550307 15.552466075639323 15.306988594759423 15.003353314368951 10.055570641995613 20.29052500010064 14.526285983163078 22.29443834463835 9.435508204610755 16.960386142074498 21.178696095098033 19.943286314374657 10.028723735031749 17.322423668120873 16.66386426805373 12.408630963370458 16.0628223306898 21.042391564262694 15.191893343462366 13.15155920440475 16.903788154260162 14.299441606970372 18.147754700015998 14.069228292393115 14.654390462732323 10.737776034970395 17.800692985325554 21.928911055484964 8.837384090833014 14.285956758266762 11.31061388495707 11.995910542668444 16.00713723855089 18.5942475116137 19.606862821306766 9.677776588073588 17.557014999152237 19.55858094910402 20.839329247494927 7.144896993781876 14.571972643785735 16.810296115772022 14.819478686922354 14.70411964843858 21.12195515237099 11.781701761079313 19.508044624887543 15.20733017817579 14.55320571841631 14.262919210545967 12.43582458954821 11.317582451516667 14.832243594894598 19.887122559467187 18.52263315289168 11.135811455010012 15.846259385688525 20.599205978259445 14.217666945856871 15.727814840654098 9.504180112840642 16.472943182513628 17.77937032361459 23.825862203733145 12.112937249488992 14.66976215799313 18.954997766728923 16.627002146334593 18.604275637551332 20.35036156161713 20.289636867915963 19.441620923271014 16.842616175101803 16.23341675513215 10.491964188251918 14.896117442506519 11.233312673393307 15.575512592939658 16.333098429372264 16.177360161441847 9.99487011508873 16.368632932240843 7.191049351804851
100 15.448365113035821 5.459692364233906 16.362851485534783 10.97339447062259 11.459085232085641 16.667452518639088 21.515596401250786 19.786245434950594 15.829035237461174 24.02490638702871 13.969790716520745 19.003573668871375 17.27963017574811 20.04992881743113 17.210856924672267 18.218106729125815 12.582946680216052 11.28674114195401 18.11592529656494 15.908929200717008 17.385853689168847 10.249557406414496 19.34186763369114 12.827228287122082 23.558300339000038 10.842759570653723 16.50612576333716 20.052226642888964 21.29694578713388 10.503518721037647 17.45806526871189 16.198792051415605 12.385852652200693 16.976671774736236 19.125181597971622 15.541603060882736 14.847124595906111 17.059231800433786 16.216276833131364 20.091065869569512 15.467815786694208 14.391461781252328 11.401393139889892 18.45783630942152 21.331295667427668 8.82662525217364 13.928797307668992 15.334643815908969 12.094677912391546 17.844838188515 17.606981621556766 21.932474329455975 9.912327105098765 17.891443178052448 17.314888307756693 22.25020778770708 9.87631790247802 13.466920072397203 18.494360297943114 13.459423952123256 15.91248422032787 20.700295738688034 14.240822573687552 19.764927200803037 16.769458357895868 16.72154265724042 14.246436943621713 12.890945919959002 10.551598411722862 14.91747664044901 22.402006429918607 19.74826602524797 10.534712289796586 18.365228619597232 21.11409956951023 15.965368779835574 16.669336590341047 10.648454155155486 14.301656591016522 19.341728544032435 20.61565452598888 14.161129412286114 15.045521881632837 19.996943308874698 16.93087728966941 19.988714755376105 20.388130523078665 20.68456199732457 20.037408473535066 19.38503919099503 17.071685568628524 9.506645013957646 14.503575070930752 12.721013306403366 17.618021161485274 15.68605354451362 19.45412405410946 11.004694459335129 17.24309728704242 6.462884864269717
100 17.437044900744528 5.874250122473074 15.770361707127464 11.242407716290279 13.927099798290019 17.4285137499731 20.20525082965866 19.247597120277437 18.051963901159368 23.57713917944606 15.297393744888142 20.174444109621454 13.230378465052462 21.73489849062095 16.40907647344231 17.8599788996674 15.178589886715617 13.78628244458938 19.0077493602688 17.058678376930477 18.944914116407396 12.861614791648375 21.53929897885976 13.612901250051118 22.505362056260555 11.311886299809045 16.786390953021982 19.972204646756605 19.757576876510708 11.770399526675833 15.777006300838742 16.676643663392372 13.11150123593346 17.261615881595006 20.304451766788677 16.703733229332663 18.075753851355593 16.65134949192276 16.998204979514345 20.42636229098653 15.809546797154397 13.222881883073367 10.551585576552897 18.63106440537127 19.34362513441755 9.064936846056389 13.507148863871317 15.377787147109837 14.030155207215723 16.765787938321647 18.965267692404474 21.123885386675234 10.072014178139334 18.74753911748178 17.281299459885467 20.935696527477738 10.221228724009185 11.702776401879717 19.02026937155589 9.930051057127564 17.37506467339509 21.484140468382797 16.881987911840845 22.511220943555266 18.229049124977067 16.318271165297002 17.450125279875152 11.817408861960423 8.847544820537252 17.815356064030585 22.994891349364146 17.466535186886997 9.610958341123629 19.298136291855933 19.951947523839525 15.580804573592337 19.46845126648888 13.975687404930236 15.109185650808882 19.151099449193897 21.75117820931576 14.028557850399581 12.37335930018921 16.27827416781794 16.913438756270963 21.05425297731486 20.423461522201674 21.737263964241066 21.24568511693822 21.090098541974267 17.30790128559684 10.702299104573095 14.842638520671674 13.009141809062745 15.835416055514484 17.56567803311759 19.07678269905448 11.167664015045546 16.81202905479633 5.720380684058918
100 17.68566172228268 7.453425428892483 15.254026500558563 13.214664918796906 13.896637273879442 15.526063255634204 21.943163949331343 19.688369039796907 19.37668495181168 24.630896350866646 14.533887267393174 19.525616645865664 15.251173404377694 24.033563099402127 16.840605685536044 17.17592049945636 17.732888710943158 13.368797686895656 19.605927915529907 16.608036182578513 19.44976798650411 12.148149156584797 21.050991703395603 13.348408530083079 23.355906038971934 12.245289990268741 18.018200315496717 18.894283469064224 19.39071885370555 13.148347188262392 17.356336682218277 15.107831530691847 13.972113838265397 16.310691141355942 21.466949782705527 19.250704367728424 14.7589642182929 16.079550065233168 17.678120890784605 20.448679942933463 17.121770795622552 13.862409086026812 10.576958759739806 17.44733492338396 18.004871739611442 8.716926828822414 13.200882151263126 16.280030629922766 14.119279526297722 16.305222981409912 17.766419559399914 20.208722994072968 10.026145992858734 17.94786050805233 18.463728128050974 22.666789912201573 9.446899568794962 13.804990339205911 19.910804946040997 10.903067538241704 19.54131595078174 21.189029270962976 17.735038838046076 22.381172159930067 18.41356656668146 17.33459020679242 17.628945950460324 12.955680485320133 8.831002179113334 17.230821582746678 21.89522728128771 17.311159411807914 11.78899347213129 18.83168271499538 20.857646666304447 16.48300821618265 18.91442112997308 15.933524903071493 16.58817321127763 19.172414964502142 21.525151156594884 14.724640620041756 10.799798168429321 15.362563328040096 17.589906023441138 18.84030660763986 19.462629463040674 21.1479488966014 24.954096811595033 21.746951126298306 18.71117071386232 10.356646341870666 15.65334472435277 11.288732860083279 15.785540405548103 18.418263213521726 17.376961652532657 12.36196728916074 17.72104368923364 5.937126479877332
100 16.94725992508096 7.326282182239536 15.24940953271871 13.286493732347475 15.017311770995033 15.06753197393989 23.84505066777536 21.913962358022403 19.78877347858687 24.001923678944422 14.372823263554883 20.016904789146174 16.42406428154157 23.508857016636313 16.65172823493136 17.819972048156856 18.001668818992297 13.060471578439227 19.880707467544106 15.962678332333445 18.591826113473193 12.720070896808533 20.33979563964754 12.975706425621656 24.640101802611003 12.397540021832532 20.40986571152776 19.786398948132796 18.254256851770542 15.125950541711218 16.775254720800824 18.108343420863513 14.655558238052977 17.1964130867648 21.398847751775 19.533048667577845 14.793411929502236 15.205057433424805 18.41055142633292 21.80698706023386 15.566295325487735 16.361972490193118 12.082315628659892 17.114447456933835 17.725234836978164 11.7945553386873 14.879943053250338 18.10348429072531 14.083817859749471 17.454380538100594 18.42693149839058 20.04951443309669 10.870376092366513 19.62748898926903 20.765706435317036 22.160024850815685 8.565817378323812 16.439611733374363 21.98522428380702 12.100933538237943 21.891543667780137 21.562397981680938 16.824410622693748 20.389609772921187 16.8036812267057 17.689747550972047 17.129650282173742 12.657681466075228 9.56158858321795 18.640315199396998 21.041087521842428 16.717084416013304 11.872965520482424 20.200994919443424 20.756180168312515 17.344571471324663 20.99563828178205 19.74097800366722 17.838828658763337 19.89386930136563 19.87992426325439 15.734469353552706 11.421760697270825 16.751461601972835 17.10548705421734 19.110922989991206 20.333778877640732 23.580569961610287 26.637489920477172 23.120265760371066 19.52602860356112 10.53480998786645 16.881818849804045 10.992825282231363 15.907436706950051 20.864125934115666 18.351021606881865 13.260729924866125 18.409229274626377 6.81515024835292
100 14.576548049742861 6.553056864083695 16.530560510149414 12.60217716458633 15.277080000256129 13.762325021280342 22.561968419345945 21.89017242731201 21.0687470815543 25.320917361690835 14.001211906360538 20.46076677613474 15.047260765562369 23.34270755250369 18.251685245028312 17.879074899875437 19.881992875272374 14.64019283772424 20.309009010701505 15.842281940389952 18.094872332080847 11.397883093213405 18.75250056890185 14.92121784281741 26.422611434536556 11.6892845753507 20.298528019482255 17.749899281603252 17.00254383782228 15.806084441738324 16.523920098139754 15.83902959424743 17.251637063750138 17.25362292538065 19.852577222118313 19.608646503976505 15.041547711390745 16.17731612986734 18.220709462414792 22.13274406956643 16.911618150570078 14.977111199311969 11.834070545825098 18.48453869098395 17.365098786216535 12.138567452349765 14.623123689479097 17.790244919935308 13.757631088544375 16.18196540256947 19.191135871592664 21.516176855534027 11.32457598090588 20.978379770207116 20.1781031346013 21.293491305503565 10.056534790228284 17.314043537173227 21.58534669414412 13.608700936993646 20.04813700306641 21.080511220674893 18.443450318891767 21.49645514992178 18.137793357368434 19.361987005570263 16.80051261465679 10.952254042700616 10.097413902305885 19.667405575391733 21.99670930419801 16.441331219285853 11.367747113784233 19.14474940828202 20.046490499014993 15.341366299430284 20.207457569460477 19.612036707523075 18.05771809594707 19.42467014485352 19.0051043578677 15.476253831071372 11.229515962006658 17.80074221204847 17.170533131939496 23.21613579788294 19.92111932751871 23.913503885633478 25.722713270034237 22.281607632040462 21.350965292849803 12.608868366940827 14.804888559370298 10.446372432266285 16.138277218893887 20.136094473577458 16.60514458995412 13.984866281423216 16.15349239584846 7.979928838152121
100 16.19512904375928 8.687613515833046 16.743934203543333 15.17488050714282 16.11360986008392 15.287021411078278 21.34316648433217 23.85082487928235 21.037721679385747 27.10276090149518 16.424234908763516 20.805304730224176 16.20504777439366 22.866754698831834 17.43338318438417 18.80435568072326 20.60710479168527 12.924741181562617 20.286741214393043 17.199980356412826 20.25547791182079 13.070238930321182 17.021924002058523 14.079118306302655 25.618689777861366 14.316330375023139 19.304823788293042 19.314944632841968 16.32115885121705 16.805845976610577 15.776930067938538 16.022748232116523 15.94117822488661 19.25438417318184 18.9658622968448 17.4934372407486 13.28409783242928 16.43544273044942 17.91171507714373 22.85896595606181 16.61554561613647 16.965983647616916 12.054205473182023 19.998266068154773 16.540291265236135 10.636452643953309 13.955165050981888 16.582894452582188 12.510332739917644 17.220613154010135 18.959960886104067 21.664195687487993 12.70306900922276 18.793916636214114 21.024742070523498 19.64021873024562 10.201478435538347 15.119487903989615 22.199881225037142 11.95422295549773 18.466479940002568 19.563830275666653 18.52545900799971 21.038591269259424 19.34166790406427 19.449911364944157 18.25097071010423 12.142038153363274 9.755888133077049 18.924937486685558 23.787424074017338 18.49856038879381 13.290018528102971 20.55711411611687 20.709991125619034 16.447976266483575 20.23068543544866 21.62699923410878 17.805346346419864 19.735341891183552 16.88346638135025 14.159952366632991 14.173142996023369 18.65251030032384 16.95931892643559 22.94700330177348 18.212350274329246 23.074743984252766 23.35882211142649 21.538133947520496 21.855208311224917 13.849678199375246 17.270799099220213 11.715834839724424 13.333109790103428 22.675770178376364 15.894942752388342 14.746822987464382 16.6818895124741 9.262630939708096
100 16.83344664062671 9.659855696898578 15.442575298113502 18.956535289687046 17.322771592317572 15.672747080658556 23.5683785713919 22.251674822613325 22.139953901049974 25.91938105364819 17.433262394375955 21.33477564591611 13.744570518737966 20.787066369349507 19.842471897088814 18.553641153248936 23.159612076678997 15.214993180369515 20.09553078604536 16.919613318918863 22.470901366169407 16.440107054267013 17.077689762136714 16.73514649740308 26.648223499684192 16.510993088249375 19.30797410006637 18.497716710251343 15.155593161175268 15.350174407499997 18.849988455074527 16.494385350676893 14.75278712644678 20.50307987050152 18.445807083009747 16.73520799912454 16.52865047056748 15.083384527691543 18.55896821515124 21.893991099626973 15.678509408087427 15.389388785563392 12.896806739258091 18.913568680081376 17.838322401367154 11.211230955318358 14.050926400134191 15.852115346413326 14.887385514510443 18.624134964523947 18.218775080822322 19.84358578548919 10.872518193431809 20.487946922534263 22.241335882121053 21.063814818380912 11.006666197960964 16.665248105746606 23.2190447459449 12.610981820722396 18.127967127017865 18.383609048513627 19.343494002944286 21.53575456616823 18.86036177095247 19.310195374155917 18.042947705362888 13.816788952438552 8.969264752257468 17.694897769461193 22.016905933170175 18.612793026392257 14.444499790280306 19.21870787947463 21.89268479152871 18.975470230795665 20.72128338344103 22.683891627791738 17.022983439950544 18.545133538577087 17.862437019886656 14.827872618635888 13.368279285291148 20.47845670506035 17.43901964305738 23.48109860199795 17.56035488737662 25.030845901326472 22.87062526045033 22.54172241297954 20.63514594752167 14.660993923585842 18.197363108240086 15.155136168291143 13.482826569853419 22.701542826142155 17.149095904375464 13.43585430187379 14.236627051662845 8.902770795497954
100 18.56999392652978 12.630189597374661 14.745663466383231 17.429370773964905 19.54793676468305 15.199650440755828 22.730591056576134 24.098820828962022 23.700651697081646 26.808939589873 15.571150522858415 19.631138981675615 15.95585699616946 21.181164737240238 18.940673164562735 18.199644262115484 24.33178625973298 17.54429423562759 20.193215880180098 16.16373949114047 21.984030073384663 18.479356401818656 19.191858179637673 17.363194145885604 25.580793352796555 18.31163846038229 21.298122677001018 16.73346997116911 15.147470927244878 17.204980232736755 19.22154447856592 16.24301188967548 15.377691910586336 20.823763353274064 17.122307527599215 17.00228568697441 17.23629990347953 14.916540646900827 17.806215022035364 21.09710776364476 14.535222066493446 16.938475667749213 12.255316210055444 19.30316480066306 17.729307594330276 10.833894632383137 16.292370347366067 16.117388037820874 14.287806772092353 17.921199851244484 18.859678042433966 21.029448311231125 13.266969196452868 20.320459462787454 21.869816890026375 21.16666647915089 12.04722156256173 15.987967651390882 24.735773013978992 13.27714661058433 18.971331113657016 19.12265453481015 20.04182484197758 19.97259981428747 18.938560495883895 22.5067689910062 20.193960591500904 14.473741730466374 9.492340965937846 15.113084401998476 21.193097839944805 18.78665209117629 14.622522293539944 19.062800288188715 22.59804166600024 18.03365613796347 20.988249039186943 22.072289166730172 16.32425049520044 20.797605524410308 19.036277611930785 14.414257125046692 14.443476257588813 18.48571629619613 16.61893786325904 24.807295066245246 18.283947548197546 24.998286030642223 23.931306561928 22.948707184430447 19.967128554321196 16.357317082611598 16.107029536843797 14.769285029400757 14.014651890397479 23.190295997090384 17.06652673653136 11.724179717993241 12.306136003483847 9.715737283773437
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42
Frechet_distance/test/Frechet_distance/data/curves/generated_100d/9.txt Normal file
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100 3.125215157277844 5.349601639293698 7.0859890872501445 0.7667089565291032 1.2317978522147122 4.031008887094953 4.1783156845901885 2.3154917805327933 1.3895972216259393 0.05474961789220023 -2.0105725081983854 1.6846879179570615 -2.375105559563714 1.558716021310384 1.996243481900854 7.428344392665056 4.321490621062598 6.139646364941216 3.2555655469600375 5.593332611823673 6.995597954515803 6.566351269729442 4.957699401358965 -0.5670944468560669 2.126003033989975 4.143225688632923 -1.089114563575627 3.0218458919144777 0.7654435680139777 5.3381514883796095 4.532301605481769 5.053841661952095 2.2205083553702023 -2.5072745657655604 0.524730621957772 4.499648700526535 3.682876037998229 3.4665067205332787 3.261532590223278 -0.6418930310153521 4.105453389817667 -1.1164523018354684 -0.935043788473606 5.199327629691696 2.5353564913456172 5.517053559725917 5.108673722967466 -0.003566717502746286 0.3216619534284014 7.19801754785684 7.5448268256830175 7.263995187731064 3.5537605094377396 6.599727255796422 1.555353176437611 7.139461219014317 5.620315705706031 5.054083935602408 2.411334822068871 4.648103370677278 4.3302035994066745 1.0715717696274287 6.283039694264221 1.1439741149692977 0.5507462220416128 4.815991406025044 3.4920492728875323 3.4798805074095247 1.1647424727564788 4.228575308408422 4.270158522231735 11.327396304337048 2.976220052601419 0.14189229302474093 4.398151380324603 2.6887578096369866 6.423040280464566 5.567979416760059 -0.8060543297162333 9.407182287540605 4.741762784763568 0.962899326522856 9.849731636067737 3.2316982487906474 3.9214902834053724 -3.8798841274988014 5.0905807405894805 3.301576230455574 6.867998474684384 13.024712602749563 8.921297125110275 -1.719955739412139 0.7594841167584745 4.2698611262127875 6.906944513464969 5.484907039176712 9.12090222116679 1.9619010823323708 2.612096901139454 -1.1687049321279481
100 4.375676812258914 5.863666683946518 8.550567653065144 1.3449347893254169 0.5952315596121296 5.26397468986322 5.541959672922644 2.7923354544595216 2.5538334213023854 1.9879177583511463 -1.205495440654561 1.8233269730657176 -2.4623732302095025 1.8688155499875654 4.690987261873975 7.629711712516774 5.406365853781619 6.254559851107272 3.4498305790191033 4.994964813966551 7.5770937194695085 6.422293050116822 7.205829982952274 0.1562582784887157 2.8008141787103074 4.539708286263035 0.28177872892833733 5.556432329991247 0.12491950450263412 6.2193655580173886 3.071057441980215 7.152447986326022 2.798932464189606 -3.592024843756964 -0.4550384815910453 6.1056999556662035 2.165185270145498 4.509330378403359 3.451598820778794 0.04902236323749254 3.864522583157947 -1.5888188669429648 -0.8667819764206869 6.52831482119293 2.7890829009500706 6.603486818863238 5.338490665123203 1.557022055084735 1.6751158480829695 6.997706860857195 6.778410164584206 8.946500261525825 3.0477910758348887 7.744173732307023 2.305870854910091 7.123298071100618 6.740875096028079 7.459286691591645 3.8791355039353457 5.349928375985913 6.995206050892301 -0.4099154104592613 5.474200153622634 1.2276199508736259 3.189613645780386 6.58310900309653 1.945633199845473 3.5703573643432174 0.16379277754232446 4.783433020569653 6.01752926204306 12.953311799234209 3.9596628026231633 0.2952153357759618 4.812867784280805 4.25469060976822 10.078552255314317 4.593117634673251 2.057545766142734 10.148177494784518 6.463363267920778 1.9503310966584684 12.046799089823553 4.36387890811147 3.7209991147268155 -2.294735777166909 7.140772786472535 3.885654241775962 4.610448854404589 13.227801531954743 9.563497391028298 -0.9480068282375821 0.8396676647714421 6.671100349992252 4.272454716603339 6.1230675866362185 9.714024500581866 5.3624735521647855 3.265034219257691 0.2204724360295709
100 5.161163550560342 6.6379069578023016 11.294688416905789 0.7072307027320281 0.4767394679766611 6.840043200636126 6.420205723760359 3.114384299698813 3.225288167103462 3.8250841959774813 0.32133993361591284 1.6574799456762799 -1.260349603203064 2.473092193792024 5.936623926354943 7.6932228134494345 4.448795940362316 7.695672105631726 4.9300815074312805 7.439758250912097 6.3226367986307865 6.899345895332497 7.444782746948212 0.5308282594343763 1.5502224914078218 3.8090930587188367 1.5235111906323537 5.437739065399734 -0.16545065925079516 8.596601656579654 6.832949461022869 7.534309443673383 1.5882113789796275 -2.1173756682971048 -2.402658304084246 4.868118836903084 3.453915600926112 3.3930367396965586 3.8548647720701386 -0.9024267147843341 4.624089479427224 0.7071863142085851 -0.9185608539933621 7.071991419402776 2.3935009933781597 6.163228030261298 4.828523514868272 3.330441140991976 0.6489947509348271 7.109968606266115 7.8469774408620045 10.528853758581606 4.228830145552835 8.128261676952262 2.2918536083416465 8.95092111956811 6.166295663984136 6.92028111315865 6.27431331836995 6.357955220702923 7.993214201196024 1.1696043265324167 6.062784260840791 0.08746577545426248 4.2530394025502805 7.063417266734982 1.6219407437848326 2.8515527846470397 0.9115115384347756 3.642534467670787 6.371674741437107 12.924024631781 4.440753479016306 1.5642665542583178 6.178227748141619 3.9871703120093684 11.702227525514243 4.950755303664538 5.069127895203911 9.807998305140666 4.995792501737419 3.788859790062337 12.905525105933453 6.628938810956366 4.816641856218425 1.7472758038381175 7.434402193878727 5.84369794324489 4.487677900650176 14.234256235990689 10.966813434354034 0.9870869514974271 2.61716115762506 3.090270062958963 4.77138626935725 5.898817918391385 9.680646993600636 5.575507754468211 5.2244069931061325 1.2893449771746284
100 5.082467345227359 5.3387543505142805 13.621483500556236 0.6859348894064593 1.0483855018219777 10.142753960896412 6.114047308688611 3.422043197919035 4.250765961723525 2.301515208115317 -1.0971102791665532 1.7867994688861235 -1.0116609001771342 3.2813144525333815 5.238616778462468 8.727961405157465 2.2871617836710887 8.103787491795854 6.093001670102458 8.362841766720383 6.611091860655897 6.580940985642542 7.715439515724986 2.995069653440181 1.5621285847127928 5.755182873318704 3.8273003728346104 3.7082823165809518 0.4509997444908856 7.738606051403085 5.393326411243489 8.996343412627985 2.9826780288363297 -0.8907921635852616 -2.9839040030209047 5.701113945983901 2.4369616881584277 4.210213058683455 3.753882516837543 1.463601349697872 4.796567782321689 1.7370877759344048 0.1197941457154349 7.51115109890948 3.200719277295676 7.096682897514751 4.245450640943987 4.5219913898330475 2.611888691734327 8.156855488966073 7.870415130762283 11.084642303378068 4.306521237589588 8.429117845701809 1.4622346929227454 11.285596072225534 9.249574346589803 6.586662355707182 7.825957459982444 8.743317454935857 7.183776490077207 -0.9118836494881513 8.71116950350069 0.837283523821602 4.25962499848035 7.601368536111571 1.935525779562574 7.413653945948743 0.9864567363071778 4.728413050917812 8.569086064683207 14.907754119930257 6.471754631143215 1.6930322722967952 6.473016029657383 1.8179968670194624 12.024597850014727 5.611344773343624 6.631844131633434 12.56997246177092 6.596951367967401 5.848824784613233 13.148519962701464 8.898321830425365 5.468637413600445 4.05018697447418 8.99882480494 6.863122097061928 3.040966140078717 15.97605312579249 11.915001642651987 2.6610337939166815 3.708620246156945 4.483796574623418 7.020729937648864 5.806727128341155 10.740398736185345 5.128278973999548 6.57225506640092 2.3652221220006253
100 4.908402667112727 6.192910184667273 13.147134604058444 1.1026350100116398 2.304186471497992 10.921254849444598 4.184111014344195 4.626528930688642 4.61083708690517 2.455115100530233 -1.5920903204988939 2.5574766963785898 -0.7849861657739727 5.6015837134560895 3.629777834319536 7.948946879682179 1.7530182937357284 8.97419396407534 8.334293170721576 9.524236718333913 5.7281928119920185 6.634473543557906 7.226595236496798 4.4959876541700785 1.8522235945791814 4.577409137232288 5.397070050732328 6.011065282560867 1.057149287870543 8.390406837023221 4.066726654163995 6.73206477105097 1.3781293692541423 -0.026088933422008145 -2.4403359480363482 6.992581197182364 2.984987850254915 6.250397068961335 5.731831660253884 2.044403447369458 4.197251717487132 0.006523880921875946 2.749794062123689 6.860882181379748 1.9605227511774503 7.819301505860529 2.9817124031016475 5.374621378995628 3.015641975361956 9.897285179014606 9.492215297794512 12.858007802811477 5.180114661129912 7.803263143958933 0.9415318343442995 11.088993953801259 12.331272358505455 6.920781960361034 8.55152655314528 11.152721845528612 8.03266256856051 -0.9906350407566276 10.289991789499227 1.090808490019275 5.389389213809912 8.769977273457442 2.1563565708647676 8.242146271733823 3.9090880331866336 4.595619628317251 10.754953023477597 14.394186093953817 9.3939335793913 1.3295730838728936 6.492514186303171 4.603224144856105 14.491704519593725 7.32914147612413 5.817344345143437 13.026569387579313 7.275002088699785 5.382930591675816 14.33738426005148 8.45033096618581 4.466756453650234 2.74694548576993 11.728265429390238 6.716643591673263 3.084601351837789 14.912568255087777 14.155836025556031 1.6329362936188492 2.8506885061310463 4.845555927007017 7.509620762536625 7.246624459426741 10.314361856573957 7.779098034167504 6.3040151217426414 1.8344814450230404
100 4.132432892932282 5.886233147142839 11.916415395469421 2.974973942810247 1.7469758083054976 11.146272808097397 3.5037717400802086 3.7736851752635174 6.793193456899014 5.229226494631126 1.0576112506849253 1.445918369171571 -1.6141255982974596 8.738473166844365 4.042211084731596 6.674543912735313 3.9971152731058375 9.560702002917116 9.695125781228656 7.07373605553439 5.888110639015378 8.481660019565082 6.983531654881016 6.8809745278654155 1.008499899287664 5.14805786889535 8.280394733535225 5.076560337596116 2.2274773624345605 9.620645190913166 4.881793530385597 6.925047465053738 1.1166383778874474 1.1202160255347644 -1.6472909715733535 5.6528722105744045 5.20111914775495 5.737064215827082 4.659537049809911 2.251367115198983 3.774252933948436 0.5151131827047479 1.7880647177336415 8.051957353826516 4.52236326497184 8.48230468530224 1.8363105823834882 4.839259336223809 4.132401378817496 7.805423532072583 8.35453662330752 10.977826318380886 5.900777392637984 11.13603597791997 0.15925386720445855 12.656130203401613 11.951987683586253 5.852518747670408 11.072300575487219 14.29029806710094 9.051577212544187 0.38544374485485555 10.934066204683548 1.7033197425527717 6.540105512924658 10.10279633963831 5.178690595374588 8.115843789795711 4.7917279043239045 5.173482807798305 12.465070258689261 17.79346931428551 11.22205363259412 3.138029072988262 8.207401452041594 6.955899247751269 17.97174013926038 5.719398946651772 7.229959729754437 10.002497381211565 9.162702818682552 6.77186076737601 13.857968652230976 5.565468732690619 5.174258097489487 3.905425691749974 12.030302518243095 6.436459317153364 2.6019418922658923 15.171721467643216 13.478291891384801 3.503450616315135 3.4998885742566426 3.37319929456234 8.23810242677906 8.308172769310422 12.892631613005355 9.514089672060146 5.753554428417565 4.498326710537177
100 3.044534638103414 6.656611485106369 13.250539827154505 5.706310085844093 4.9937248654033315 13.202113484599204 4.034787909646896 5.260221692374378 7.74886614432989 4.888539737355228 1.8130630764979627 4.658947021064428 0.19361745897288118 11.851264268567629 3.380276352422577 6.7652915619198675 5.294049599308893 11.011808633261275 10.11847412235863 8.700137466604872 7.5124254047269226 7.223006667293848 8.580671936793824 8.967410512111643 2.325732859590146 3.467262022266969 8.553005944923296 6.267058412376968 1.8886666153384999 11.240454286504105 6.508706692338154 7.623882643052619 2.054450749693973 2.2341894230379897 -0.7362122975688858 4.586608440304442 5.348053107922979 6.544136932209762 7.336543367768139 4.15102424695959 6.466682445058314 -0.46632776473358195 2.0419643540983228 11.318909674995208 4.2260985586041695 8.000221805582653 2.289466925666026 8.158256758487676 4.060536622606332 9.105857434192114 9.39533294415301 8.827198291508335 6.433971045554682 10.799454332690413 1.9586258591212722 15.364631666064742 11.885627576671721 6.120773651355599 14.729873815188048 13.55888382936636 7.755780777855839 3.0432632346202997 11.417675417192639 2.871614318408179 10.116652614468384 8.683972478311388 5.669011165184689 7.083741486325882 5.924168996183822 5.140549315466073 11.250592346580587 18.87481057459713 11.615599389324688 2.2198703755477887 7.130349875704827 7.842137483048164 15.98922870451922 6.68786949281539 9.557166849405283 11.35113758112993 8.93441579410019 7.755960683139378 12.491304804657313 6.479646682375873 5.463630186460992 3.394281287767718 13.222247389516209 4.4216202197081245 1.7856349514763925 14.110308508335885 13.228905339694963 5.947728648666276 5.223437266264913 4.370344371300296 8.793025942098078 8.781761444487781 15.044849328498133 7.61676208730335 7.417768337872224 4.5475894695040715
100 4.536832022422741 8.08223368761747 14.523884441268832 8.541772438126728 3.913755646226 14.841768808158196 4.701900614618259 5.389277072093643 11.072266831956261 6.456213313606409 2.225613405153341 6.700423646130805 1.10303362182452 11.607751193108252 3.4434857147421543 7.800138486970794 5.260309535553515 11.673030043580122 11.880844663195482 9.40339360476475 10.650040430998242 7.902702327010284 10.930507317651543 10.888401618954127 5.263959539162277 6.896540584217313 6.943070759388435 7.232414228278013 2.623191478559384 11.770050076818622 6.65331518694282 7.456495210471209 1.5808988332819052 3.250787370488373 1.43661483999034 4.662487418276142 5.687888345169445 6.377357865670613 6.820951770071468 4.844037387761276 7.6294729345694225 2.1449463105610613 1.2655855369684816 11.739210877717673 6.50713284171214 7.051315280715762 4.797962748734721 8.18132847190205 5.867551930185518 9.387544168717888 10.521239238717932 11.419355473574772 6.856106371972164 12.531241266929545 3.230837704132652 14.695898573056182 12.118207181255654 6.622086454637242 13.129845310957938 14.405197666057827 9.170779294885998 4.914869875327699 13.854358988643913 4.929591053316053 9.89152981163244 8.693196923519398 7.550863488910631 8.273597416776186 6.6074272790794595 4.757420747990318 10.962869003022476 19.719292953225597 9.476346848134595 0.002213422952898725 8.602516723224687 7.7791690673077 16.907111146358343 9.426045838117107 8.764121065097738 9.64002570544606 9.225065160348485 7.503762937991095 12.813508991039617 7.940841386412364 6.656971309871735 4.401712463548374 14.955136303745137 6.00578577237476 2.3867949308221106 15.345354062967386 11.67852922100758 8.034319192417671 5.979402562540305 3.7021399434834974 8.748814991261682 10.64261238359288 14.341818991068063 8.755023489942682 9.200580453928797 5.355441694218301
100 4.190814398341528 8.706195534193467 12.952158754566666 8.551733423672879 3.2471660221734275 15.034941597564 3.7825407069824273 6.234023775072149 13.065665130689789 8.597659437427648 1.559477602261874 6.541630146147176 3.15341918354781 12.861404463182074 3.508907606101956 7.7658907850502255 6.148876367329053 9.723912664124448 13.093864050184587 11.345839665831893 10.560900695894246 6.69842874616825 13.253035807638426 11.738931448887165 7.007734956867695 5.884058296487568 6.007657431183203 8.353900504076814 4.818745564003878 10.66709492339478 7.188162073967813 5.951896150409805 1.668869763431439 3.771969140747019 2.9373000131059 2.6533452535012514 8.169271827773299 6.920121158900718 9.3233469924957 6.736713057916681 9.408255517814862 5.632273461650371 1.0789447262184442 12.362619321592579 5.865415104448842 7.563226331988483 6.482667917505328 10.251478058087505 6.176973769067738 8.383376085026567 11.098357435167408 10.687446230605811 6.674720049224962 13.759735680389827 4.729884014238605 16.17539876603359 12.098177523176929 8.695281506574748 13.471758529588168 14.24646944544738 8.239850594552241 2.932819440267787 12.284373012206208 5.937296734286586 9.293651772654936 7.080886264777921 7.715487190503571 9.272643631682014 7.83234268311961 5.50917234548675 11.30910629663218 19.064079195374518 10.816520956608334 0.7286908097934179 9.00919622251729 9.775046322542039 18.20396301457324 9.745973385221857 8.91477324787817 9.762369918284813 7.245528307547486 9.593878335390215 12.268926205044004 9.753194007275896 7.433330633119236 7.125140767256695 15.917986068114436 7.83600075053796 2.439892731886307 14.027708576689422 12.419148954485234 6.151613919195752 6.073718789375666 3.1014698618437704 8.167111455264097 11.842803100146511 15.36824352336389 9.102132088493487 10.177406055075217 5.40246695625216
100 8.145062324270226 9.774995736298246 12.528465954035724 10.337366205093318 5.670561666115983 14.273695416963527 2.720505964611622 5.343020399856524 12.61372356972253 9.005102919585813 0.4336973097566226 6.716578621633454 3.7221844781622435 13.558231308320883 5.169966120136924 8.890594670606273 9.217529796212155 11.684175048845676 13.851618120273972 10.519716179316394 10.106026238200634 5.547680869649621 13.819509574536733 12.693171664364844 8.903398524418419 6.992651901970706 8.207554209410812 10.27801337563536 4.23127889971624 10.417918595229292 7.816146294057953 5.673896904998384 2.352549463100644 4.9956398366409065 3.568175618187768 3.4903369710140035 7.582689103593102 8.318150941062894 10.579416100627377 6.6355530305320904 8.308078705996634 7.914446208794862 4.194582662119172 13.0845856835661 6.077893156818975 9.544409672481937 7.758199881382772 10.47688440216529 8.229380882978347 7.947906479042164 10.654217851754527 11.576009037223047 7.405177463250897 14.880943350818306 7.074675419891346 14.476835210023143 12.570136152689352 11.823490020909638 13.003134929364094 13.537224384855195 5.8749615406433975 3.9067968392839547 13.586365196233697 7.367760300024347 8.561264808656768 7.68267195441645 8.70797489666579 9.926482393017265 7.033627627355526 6.363337480496716 10.659408472611457 16.709726058808148 12.150727909312751 1.8335427684338141 10.265665825599275 9.62571716001341 19.219380598056055 11.620864683415018 11.765564661176395 11.374189668440854 8.500173853775223 8.358123890882869 12.506125068456472 8.513698492348906 7.053876912493694 10.443011246699704 14.81356099986377 5.34250619485545 4.320814352641238 13.576512757919092 13.930254080218091 5.341158169139162 6.220989298362612 5.637406068487286 6.991045222346687 11.987851813021724 16.032376964033173 8.709224667003182 11.004366157888631 6.173719204739828
100 9.404435518126174 12.761671582882046 16.354378514187218 11.467306982713277 6.178566795537603 15.11807468977507 3.2155918302564173 3.985607661826711 12.974329989968208 10.846476193006627 -0.4704739595977643 6.111811295768445 3.735871084709626 14.268888096761815 9.001397571651665 8.356144839080097 9.886748815187282 12.10618289736272 13.86885407544965 10.913174171945707 9.927251771264045 9.843040461260308 15.11530680046756 12.550919376205 11.047202004834627 7.995530690208834 8.963165193114222 10.447561449119616 4.648225317693121 9.24810645115613 6.220439908006417 6.778598597630682 3.020486836548436 6.867284748588808 3.132565354527106 2.8175367099017365 9.228791280016912 8.568624542024654 12.28877542574797 7.531093093886453 11.356410057384698 9.433352397373897 5.374700107642358 14.485297650244107 6.362202352811914 7.901174762596471 8.795984401581807 13.464914557635625 5.905343097972853 9.166618338549403 9.112474317197096 11.89729139389406 8.025970446292787 16.0747355113271 7.986473169096662 16.650937250340725 14.463944111310273 12.037439933228528 14.741168508350242 13.375124571320642 5.883976716247364 3.093687487052806 15.747962273843376 7.552185142413119 6.035669742541116 8.940906704545135 8.764836774742053 10.063540170077376 7.363389042292413 6.600581351054403 14.627211814698674 19.063492142384526 13.420178882684928 2.97052899601362 12.134078411263935 10.4689576526229 20.420756507206754 12.77311425737033 12.333793270630958 13.043536389774216 8.609532581239971 9.026584584406091 11.578574622120541 8.032551507118857 4.43676091760447 11.61046219799562 16.034003357425085 7.402583007824922 3.578164107199661 14.574089594290763 14.34215043441368 7.016592105484839 6.033863181858375 6.0080529399592795 5.5462191963241585 11.396076422492369 16.275038365999812 9.470969432176926 9.259241326406581 6.185092115451693
100 10.093180685874145 15.01652686869009 15.407154911440264 12.55560778800867 6.047894918466715 14.757952431200167 2.8139559447591287 3.3683262335444963 12.74302659283396 12.537292537380486 -0.4519348103993589 5.602780073684313 4.7442034893016345 14.458750570432594 9.44000375338161 9.207146384336912 9.069454433105243 11.31422710592755 15.54144195107364 11.140653480361662 11.11822365390504 11.92822878528036 16.460583752183055 11.208318587726746 11.372974165000594 9.941350786836555 10.257851630003445 11.067334509299402 3.207085501209259 8.900505877171124 6.941545366097984 5.468385413942317 4.898660562015709 7.324983887042357 1.2699871777934586 2.8350207995434022 9.387998834199959 8.99502553437166 14.624269378918381 9.055934657302066 10.017838128322197 7.938168164203952 5.591352471911956 14.928081001273894 8.25039298187803 10.699536300881137 11.610276554221947 13.191831912751912 7.8561888185571 10.24465287544379 8.202233441828465 9.764220726694024 8.679050871962017 14.287565796207915 7.447366797744275 16.029126756248537 15.019552211268238 14.141516466337604 14.976879191107567 12.916288462478589 3.8063903922493583 4.4484677109987745 16.118772934751465 7.378590044443236 8.267263170650079 7.862801315318548 8.46617525139068 10.2411668416416 7.2236059177303975 7.951042001248144 15.445251821070189 20.501841862189558 14.357877019798085 3.5543687384500213 11.98727767560971 11.524583874084103 20.250945673823406 13.187958458788174 13.35349571991069 13.57202883239491 9.632913566799315 8.533613030799252 13.708144886865957 7.231170820050064 5.774081185158055 11.472613530555446 17.640918034970788 9.074645045704237 4.271628303110335 16.955199286898008 14.474026130621969 8.76891928789729 5.730022155652386 7.290005216674386 4.952726854907806 11.775118514418827 16.42504296280463 11.089251661451403 8.897558088484185 10.827097747759032
100 8.74445518586478 15.636845192865751 15.977779161782435 13.654962726382534 5.983993485779453 15.308969731916205 2.839142361151527 6.573793173963944 12.314660377796187 12.593105914776773 -0.3142685780671055 5.26217868936658 3.611929170885384 15.506649995050022 9.072259435003454 8.65163648125991 8.351815941357522 12.124557510001937 15.880841559910886 11.581522452084817 10.487751909331983 12.889185504719803 15.781548256783973 11.801946672645247 11.6534618448393 8.246998073237554 13.449327873935626 12.166054150502816 4.200808916217898 9.810766330113577 10.206800133540382 7.552588283444039 6.109881917392371 6.993530103634482 1.3545031534777547 1.2446992689966967 9.433556496360302 10.430888602607762 15.827279902379232 10.557895426201894 9.848462031076284 9.167233271720171 7.216494034931811 12.290928802420984 9.154918110020775 13.821737727903118 11.592704507019866 10.228698765817906 7.443486791267823 8.359637664457644 7.929105543006415 8.59590504202027 10.324239230478277 15.541358882030986 8.487193673790733 17.92152303068917 14.529592745145099 14.5766740514142 18.037736650820975 13.940910436857928 5.2748394547062825 4.145763238995594 15.893557852828886 6.6244814488362636 11.062573022712733 6.3587793445233896 10.260972642066598 11.48477314094064 5.737461146868961 10.00695450228063 15.285161467980634 18.78840194971579 15.072020007554817 3.191832981196016 12.023069018665803 11.281055139969697 19.19382381801495 11.977056165783745 14.6982911512215 14.317898592544699 10.545836632846779 8.619272639737105 14.048786495089852 6.950287879128271 5.49819653256562 14.196663259781449 18.914405253112143 8.788858644851976 2.9903629965597833 14.990781830639913 14.01914888674633 9.432219444252073 6.539181755331391 8.177976530641931 6.034706469576179 10.761254547808699 18.595014193114118 11.232225296837903 9.80880479678905 10.400380950949549
100 9.664929543635418 18.626777278911483 14.8621054257022 12.554505868347194 5.473263517383062 15.087754393409098 2.9240881245691197 5.842872609002857 12.670508971142773 14.869793047838751 0.4909669704544101 5.857477683433153 4.805667188562971 16.473786497823205 11.385330638478775 9.474251764898014 8.92073924700959 11.2141198356519 17.13981050815132 10.871950742617129 9.74146536763918 13.491994543314304 18.001271193817168 13.223614000744709 12.056423136654987 7.556061136052115 15.832929672276446 12.393690484022772 4.540409485305764 10.962804574338984 10.069108296063183 7.084134487510074 5.960473316345756 6.744946847544355 0.6903739796064987 0.46915102043084533 11.222795202018219 11.810879034602527 15.081818363484913 12.346474967445669 10.76257880603625 9.203524504476 6.102431227678335 13.120704403573793 12.048721164408674 14.110726834031377 13.255509275484224 10.412695598117704 9.309637645362725 8.731655794270441 5.370437306201573 8.139364684095431 10.855326953523953 17.132037895700954 8.835700943990178 18.169909016890664 14.036259866091372 16.926817313592128 20.05152770011783 13.278214027019033 3.948675206011201 2.5105888389815085 17.00719275157633 7.389746331471089 10.526505155530158 7.309300046286639 9.186003683125449 12.949978225733066 5.913809352847522 9.077136307607274 14.99309005990197 18.352287419537486 15.754292493423831 5.436346029776212 13.773929195105403 11.91691563494271 19.08740744033855 11.63203981212266 12.646403643571002 14.58286145233606 9.973644788568803 10.761852091034648 14.047296897885095 8.615396602633975 5.59218904858564 13.692108176565958 19.764035938660836 9.610500402759271 4.138722163710665 15.211577638284389 15.439130077581131 10.765390217353726 4.330162486476942 8.500497223714012 7.953808295272491 9.822639693206963 16.5022471314598 11.447171724714325 10.973549494921073 10.251352142306832
100 11.836123593245311 21.176034142731634 12.592383064012463 12.473981932763314 3.170074655702427 16.17847134370622 2.8294085065285515 5.907623879756678 14.58257528548299 13.286581987718442 -0.5624630712212138 3.6166823995308284 7.175799382218585 17.905485490671232 11.43709758086251 8.306495110313763 10.57206098262604 15.234292584892657 17.079633359347064 9.747399648706333 11.800424533278164 12.355574078224874 17.638410661367164 10.218887660918297 12.111969488548926 6.537309083885318 17.771765148772708 11.426635745288781 6.282869339449686 11.216577016088717 10.701557060413666 8.317285783653325 6.631513203148247 6.548726411751494 0.5014213863277923 2.0380079041058354 9.208085767002736 14.454721755538355 15.627502278438891 12.47783615260491 11.595500059514977 8.90469341357564 6.425219333000013 12.00950241251639 12.879788576201259 14.275216586466899 13.79556390473239 12.809262879772756 8.86575420467033 9.135623852332603 3.9421132041347087 9.378188488745485 11.179695667854679 17.26596540345174 9.183811602021649 17.62392349133873 17.586623898938267 17.193236499414436 20.402097747689197 12.055082769521649 5.836428339875564 3.174373652273422 17.873682585608584 9.137781701148192 10.917660104914017 7.00293585763989 6.7589879570815246 12.822779160574996 5.718257057983605 8.132662980160683 17.08912233217412 19.74085476373029 13.557541329025348 6.282304249933679 12.938910988098765 12.807593441509946 18.19559199724244 11.358565203763044 14.257000069246331 15.936376447877652 12.52002223795482 10.954106733728848 12.424865496891787 10.451860777097929 7.542911954833537 14.92255228494149 18.820781033040607 8.656725083267407 5.537021126003338 14.405035737842825 15.377596584382676 14.992260788908064 7.853592144377828 10.198500862659113 7.621263498888312 9.332671657137443 17.648682260041475 13.7937738781873 10.757755558814889 10.132567150863666
100 12.313294662912186 19.394657925101345 11.155173799432474 11.346778212459135 4.61910225995207 16.700305281821382 5.061710728860833 4.295432927840174 12.91871377620581 14.0904960930176 -0.6961018489315871 3.367510695192602 9.062816192058579 17.196813177225064 11.280149599527908 8.502277346135383 10.786377622002847 16.351625658011162 15.74341604505625 9.973400162924786 13.63663511849251 15.50101084268602 16.000096702634494 11.195792049894242 12.289569230112338 7.068056051096046 16.94081635455243 12.74183173191383 7.808610048057841 14.855040942262175 9.400285029276308 6.513262695103161 9.974507545260337 7.104272985231983 0.7399953710840363 3.070413794073823 7.924875050025447 15.257382523909317 15.852985041413383 14.409085840069912 13.132920945050028 10.591404535671563 7.184642819768024 14.489834226556034 13.915911777529223 13.827569186745635 12.999578926728319 12.235463130845924 10.223834868046627 7.9284179003257895 4.894046832710814 8.734481599799956 9.86507734047111 15.94628621819394 9.661528503709091 18.838080307273593 16.8301532984012 14.687786811772954 24.45297699908294 13.811357909448896 7.65940043358808 6.042387121579045 18.22537594575199 9.425872619405938 13.161671063115564 9.316313547066127 8.242780115601693 14.333427685685287 4.774202910215967 8.357152856998239 19.401569731528348 20.826215956315814 11.933854677727233 6.165747040213263 15.197738376842121 13.750428692661208 18.614619587421895 12.052978246067225 14.412899701441503 15.46478885304281 11.87076242819989 12.70919082049603 13.06693800234004 11.891037539561722 8.869612725278888 17.088709217156367 19.47890624963085 10.188977016358127 6.354869801013799 13.539766268123818 15.409144186504081 15.98513760353727 9.285906049655464 12.638690497351035 7.541162532739894 10.076324380179402 17.631659374825947 16.174854402703275 11.684280421407426 11.10383112552899
100 12.605356837820855 19.209982325233753 9.666133950194148 10.159313622952373 5.51795126616935 16.913338143647003 5.945991330728409 6.237169905560876 13.423982360725553 13.810026186485775 0.030929068649817648 4.481431791146942 9.046912441514886 18.623952572242736 11.680040277507082 9.337855509597864 10.17242856193041 17.90890113071641 17.912220167282275 8.658272577233458 14.394508530630482 15.583297370341127 16.570929700625335 12.280725835847608 9.797848360054925 8.68546127105936 18.62029552941198 14.602777456440299 7.114903119712691 15.00011278547369 9.17441494812277 4.573611434317442 9.678192679989946 6.287892514686702 1.9908373070161043 1.6837134290097704 7.238582994404977 14.85639467453329 17.17133795837601 18.461329640566948 13.875268758225348 9.631686367189788 6.774216380726612 15.620848572276365 12.402562363638337 15.518226221360958 13.646848091987021 12.429464927911049 8.558482458476744 9.702308410408602 4.60474075145806 9.400827630500226 10.0350641964654 14.048276436738657 9.8446166948924 17.42746230615974 16.139586941370208 15.560348838933951 25.126200530211467 14.00626487524275 7.031699863435138 5.812901773787855 17.574786403539925 7.094816971696657 13.629818371403115 7.597711144318102 8.951794309660038 12.726225872784276 3.91263685574538 9.771479756844423 19.421619839271624 18.36433518429099 11.558987157361264 7.0820315364683495 14.54039419017041 13.608831693487152 19.09362878970437 12.494661770575485 13.378500509789719 15.724571501454596 11.959427486575317 15.306880686363687 13.233899340675876 12.515549758655306 9.757066836503826 16.90054928806765 18.578720001209323 11.173264090589422 7.521338842480338 16.651917951109713 16.6956081628827 17.15006220569808 10.699467277364445 12.176869457113424 6.424104928531644 9.183703768698143 18.67675395435663 18.178755664875474 13.02929907482536 11.295251344083953
100 15.121212344029985 18.753959918416246 8.65424028056188 11.014138175953343 7.843540227928905 15.953712553831403 4.354045530800788 6.934973202083341 14.800303374137131 10.14818550910131 2.301507842864171 3.4754030551316135 10.484992292592793 16.00370476786469 10.172482586927533 10.627915106029992 12.246263822561946 18.00023772071871 21.229252016933412 7.866087975098455 13.256721021908008 15.416860080128616 16.29710396661421 13.111232812672917 9.381853799880185 9.996838185153171 19.486821032508196 16.887757582733787 7.064329597748567 15.623008506812038 10.464538237767641 5.228322209397597 9.945911360860244 4.258716599550898 2.8831805476931147 3.28557077337039 7.804753662007703 14.142993317347894 15.252527976598511 19.309715581345703 14.2428497285059 11.880913444985183 5.399117509203031 15.239661544686545 11.003392251797655 17.043107653615934 15.528243092700171 15.28859619448201 9.86102537543159 11.239800194275784 5.911357723795066 10.596478889910843 10.478133009606339 15.111814294524576 13.117771271529186 17.94895643179558 16.36704611403558 16.09627499738896 24.65112390596837 14.543490412498626 7.364258884638735 7.945078837805555 19.184926415922366 10.487014478301967 13.962530029075499 8.519768188072632 9.869886555050186 13.364301870634584 6.155168544360316 8.154549848399384 20.00725363254624 21.066733274758352 13.713090463551826 9.256681918487654 15.820050600279448 13.15649322472984 18.26294613709506 11.905663316809838 12.213466234496114 17.181472332119956 14.342559934914402 16.114080076298308 14.58361441087273 13.331592376602739 11.02243101721685 14.39655721674279 19.06861709338476 10.972404210506824 7.990224793257677 17.212984692423674 16.035377022102303 15.879196333319783 10.15840941480856 10.767546458629289 5.513396737725724 8.330554871688289 16.91631686772186 18.92987609774882 12.197803341505995 9.286698976880373
100 14.83980230213069 17.467477872830848 11.146923097464338 11.731443105885717 6.531084733397787 16.899948724976003 5.253581146220688 7.3160213293993985 17.19183087311319 9.296489605786459 4.647197845798629 3.864747832875508 10.939828802258505 15.144814829110757 9.823823399467281 10.536540317877222 10.216386205722241 18.56193368785747 21.425323238514537 6.566421240194111 14.411032954499758 17.574752563597272 15.65164031686798 12.56497334699198 11.47012889458031 11.09418861648169 19.442378879522145 18.0324809287547 8.083424642839454 17.653765589080606 10.937122568599257 6.493562023054656 11.969111597637967 1.9226315538786873 5.190237077900148 3.471838115223311 9.144749844026796 16.686716362991138 15.256935875588704 18.96275056573991 14.51641356785801 10.367058347054598 8.905685021445912 15.464097331272884 13.577401069365465 16.74227628925674 15.773730660486756 16.764089857419993 9.059181581740614 11.597326706434837 7.850329575269303 10.760703456581062 10.252298545239036 16.794646388779928 15.312228085560067 20.21527751788523 15.697752132328157 15.626864435582116 23.747858140465585 15.691991452487406 6.431590870698076 7.071083819592897 18.452423147659026 9.72973937918391 15.50246350501447 10.14615795501589 9.86468368051471 13.503012672858146 3.6004365611891265 8.205587463489653 21.577387433646862 20.374710544001747 12.604679148209557 11.546782518531462 14.509133434642631 15.553371287938804 22.2247460476755 12.218064943830784 14.248283107395803 15.186531760991093 12.518470823984334 15.306723001861146 15.920083017871448 13.777733884617756 11.30219299667346 13.134603078713832 18.967102714163786 10.542853735014685 7.351185759931929 16.173532085157973 16.624672735027293 15.155626284441448 10.661535243042671 9.077376957251609 6.881886869378771 9.218752447662148 16.830176041139573 19.170354075664942 13.839065152902743 7.978216408187843
100 15.188956868580705 16.00811411886253 11.732463769723758 11.913657779296681 7.187640616812364 18.162145061719603 7.077202412345652 9.417010832750055 16.89581478076367 10.686087469760059 6.200651332690383 4.30661175157978 11.558099396560786 15.140233210907198 12.21451244347672 12.08312511974397 10.346762542637462 18.11729760914381 22.707156492353036 9.046073238166375 15.060620591786197 18.580336259302364 17.606236915888797 12.855051352765699 12.119188096538123 12.253666448864198 19.022968008862502 20.26496977659098 8.137171638328924 17.79761897552639 13.909403972851388 4.731924107121484 12.747740797741317 2.0638956997771833 5.915517200382873 2.7591244054943957 9.29576017305907 16.96643791349035 15.97931192124067 20.39834676166467 11.833973821756214 10.672638679231344 9.146453205384953 15.655091178745984 13.921002630778535 15.81590480463693 13.955486978678735 17.217949100842617 8.459608143667262 12.604733727557893 7.303382195842031 12.104953196731682 10.607096911369217 16.958744539276026 15.25157784070466 19.80368201444958 15.646250245023438 17.48067034511231 21.5059943183414 15.004997029248933 8.49748171884776 8.810602906433626 20.44156217669433 10.170051223270159 14.102796902784842 9.193921975043462 10.114208069623352 14.885286660435568 4.179827728823353 8.434459110472002 21.956875734051934 20.422283067968767 12.41440050447268 10.630454617172791 15.955454936922491 17.178113778002263 20.84008802012482 12.143835226019734 15.430016985886276 13.999054179473744 13.509228296543446 15.162154131043941 14.537624878018512 16.518919424735916 11.378619666141205 14.314383531608174 17.58103619041058 13.003054455138654 10.493869373767502 14.556460146248392 16.72645940602209 17.141094736488967 10.549542323332847 10.330297310947731 5.353983568298178 8.734652084657805 17.45194320216083 18.421855014933463 13.71633908155193 6.671843915262517
100 16.28400875784115 14.588576217784375 14.17761017262016 11.538710379126542 8.885806052730942 19.164021212399067 6.458901695378852 9.243248717048058 16.538949212578466 10.580077285365354 5.3276410021716885 5.907438938240762 11.097328793056807 15.160665973040992 13.969259208717812 13.236074673083523 10.103217217125874 19.57880479699089 23.53695068736435 8.731559716280147 14.596857141103218 19.974645043173695 18.77036757348659 11.406719303868906 11.32001239206619 13.622903647925408 17.659441442875945 21.20880270663715 11.278787868890287 18.33943878714774 13.02593410811993 5.725149894013101 14.550484488148463 3.192479252063638 7.234269833431641 2.622048151602591 8.984652536852249 18.377953746784847 15.428559203824634 17.22836257432253 11.92900676057945 11.536744002780129 10.980486514917484 18.060530030669828 14.31569989658717 16.87860604226834 14.40972987909419 17.825516946883315 8.949167060712584 13.537738173109265 7.06226517339242 15.05015389688514 7.907393703216927 17.83740908440801 15.932103627979354 20.42770926198188 14.36489471958048 15.514236293444322 22.17138187175555 16.94405589066976 9.36448693188732 10.438089311054332 19.97774845756494 11.097614290543877 16.092094830752625 9.33213423171256 12.284456799028078 13.078531708366283 4.267853419199273 9.796522118015007 24.271405368922178 20.449770356983205 11.466637710893123 13.515207840968436 15.92651904541161 18.214945650868813 20.47405658804836 12.785758578205138 14.949488511063329 17.295097066924004 15.521844691746914 17.751017146390655 13.791884985092565 14.425144388042224 11.517904392901617 18.02111224956614 17.313172699888067 14.67666727379637 9.599461206363928 13.908832899072962 16.93520403728715 20.032475705268148 12.487138332814093 8.31675763584727 6.969115544019662 7.813749876009954 16.75769313692964 19.14572098007566 15.889999169360555 9.169104521744947
100 16.91024193812386 15.46772205995485 16.25212234282308 10.06077190409764 11.860720749788925 18.24168554566609 7.542680631532928 9.222627223678595 15.3117926125812 11.61446697854194 6.55755703525974 6.642268827684415 11.391051813458189 17.323555988748858 17.190666944876845 15.232649967641308 11.08128823196109 17.47757589645571 24.264192641784476 10.267695619258753 15.846135565543241 18.50701356453891 19.96720337448607 14.063965555858523 10.633792351302185 14.927098303597834 16.86098434655258 20.906519508542615 10.523103644629375 17.911118730844056 12.971604138007706 7.0169301232804955 16.08783722607409 5.77351015098979 7.0437709730908225 4.061973441190572 8.248555887701167 18.398213988475156 15.918007593767845 16.42617132977779 13.177057246754904 11.768733408846842 11.55939716674482 19.790870801278214 14.039857007037089 18.140137612194724 16.57572223404734 19.742159605475535 9.45747494692794 12.676847398865583 6.910090367266982 13.205613989571392 9.399480748902503 18.90256689913611 16.326750344480566 18.75197442065405 14.241413918021115 17.65747165718589 22.793200506977048 18.053764477852262 14.232859853015265 11.3863679148924 17.340353674466723 10.140472017481631 16.791881064316357 9.931243671165868 12.601267934333881 13.327075544712352 4.188148212095838 10.896967970521883 25.773962138911497 22.709687982647043 14.162599657255864 12.568571628132727 16.046317894648134 17.928599139974857 21.339196286066983 13.127578065751948 14.95258242426063 19.37229298934865 16.023614930345538 18.06586930208617 14.672580075991378 15.728749075474388 12.95167632359788 20.279550597528527 15.818946593373976 15.324366169272079 9.98831985659473 14.016362201421844 18.241505356878193 21.70188753396096 12.142506097678071 11.332067279147038 5.809710013971132 9.248403207926769 15.846712587103475 18.332078495629222 16.216509448943075 9.29344946741794
100 13.354442425622112 16.661222061431246 17.47626008209219 10.549611083361501 11.992903954037724 17.85247073382836 6.036774416694543 7.522407897281853 16.726870420900116 13.3919613453982 8.230859418396612 8.010913208698446 12.91066576717086 18.30553449354963 16.355963957797258 15.783186153720681 11.28718430223532 17.27328302668699 25.606668266412598 12.918356653075271 12.976777053355594 18.286002637334107 19.587960288081362 16.067399181517203 9.417941763033854 11.395385172740669 18.251190593874007 22.001242612651314 8.757786584652145 17.80605462069161 15.378673776915686 6.332619306068173 16.522753226325662 7.326826371172004 5.8954372856506785 4.265522181540374 6.829481856873334 18.35675430232073 15.317551124954523 17.167827592018885 14.473983666462097 14.018900107488125 14.954564480775243 20.0965767986169 13.942465580913034 17.737637193590498 15.489804172751512 20.32955382856086 9.578370174107073 13.832581360828991 6.522598010223253 12.948763348307054 10.501219287372564 18.769996952124288 14.061193632850877 18.95943313044988 13.578904226843887 19.42526481189406 23.835101950009165 15.111954634646283 15.563918105989856 12.383918732792909 15.758777401940616 11.845567746739322 15.403408693657088 11.990124007154257 12.312841091957477 11.813202627682688 7.9451204873811445 9.466566119327233 24.301663091189535 21.780338110954876 13.906330673806607 13.851030064038113 16.26847236119186 19.381279786402295 21.868409539783766 11.406311529576481 15.980897449236384 19.74026419700704 15.575136000513842 20.903901900527835 15.77052809948205 17.31878989800539 14.70850965612611 19.843482806156842 16.925483822926793 15.932778035742794 9.791669886562168 12.949173742783493 18.52923420569032 22.34090575148841 12.635126617942733 11.772129393751829 6.662224965862066 9.489650722146854 18.18050609468895 18.75738685290002 15.826085069739856 7.6153582000172015
100 13.525006914506092 16.260157424897884 16.82106662860764 12.497150676889293 12.567858149118683 15.795750589605529 7.7242860810722505 6.300827620285679 17.93104882147637 13.07701748085941 9.199513747400506 8.831729487148458 13.156344305970975 18.56505266377214 16.721727045708683 18.458625379284303 12.203761530867693 17.785764685104827 24.43978549347369 13.883228477313262 12.041043275884826 19.91624744910978 17.706734133314825 15.366053987744479 8.109526623922468 12.57006076656848 17.953453663417534 22.646897106116935 8.211759018038663 18.565613062369586 16.41791367119594 7.431981912065 16.861409368257803 8.364356309699613 5.5574038307878775 3.8676717844007005 8.47850834233603 18.067047177984044 16.41189236869294 19.643394556828703 14.300426326365782 13.564481748083288 14.69074154710946 20.16468370284127 15.087774915942648 17.820227173186645 18.44961001963624 20.84109735583833 11.412591305062493 14.226697110819341 8.758678590035897 13.077690238312861 10.171677597202118 19.98841833086852 14.393878050311564 19.509914785243904 15.312570437312035 19.73444811502291 23.32998406808022 14.64818352170873 17.164817823026443 12.402639813371936 16.178549346354938 12.710189094947198 16.16554440722797 13.782192091963347 12.83939723065815 14.205187339769918 8.443927976576209 10.675646503275278 23.705270566105355 24.418138172536857 13.832222426480397 13.828826540395346 16.5612582696202 19.09296408048345 22.290037670511722 13.614750662285001 16.4405222410124 20.023612629339013 15.702006709206914 20.20438296447349 16.15237927906928 17.614455028543134 16.639520818861055 18.746047838993533 19.046201962415328 15.913652380751085 10.569584705615064 12.202938794857845 19.517242954661636 20.913693382153795 13.596919647030312 12.833160386281648 7.064394830238105 7.45326494431202 21.173568032052394 17.43755654095767 16.469763180765508 7.511065446723863
100 15.291364282260146 16.133339618015246 16.026849165294024 13.842119366652442 11.33413616295515 15.52429723444178 9.36698886002315 9.15483251284581 16.893344510817485 12.59777830686086 10.424588102767231 7.009942294877996 15.331141585408716 17.235668245977198 16.380749024135266 18.855313530685994 12.817133710194026 16.684470274758382 26.51852320570469 10.92750733638232 11.029933786422886 19.109828850630173 16.646250538255828 17.383613587685158 6.829729776216564 15.12769758691892 17.85847585178994 20.594639790708754 6.220288907789691 18.301460245629215 15.712975940517895 8.467096748676822 16.543304259611595 10.372947338806615 6.218133693407215 4.3165908101559465 10.549099367697114 18.56772519953966 17.836401138422346 21.41646752822499 14.339649305622594 13.961833782052501 15.959006236355266 16.99120871890472 15.215765096406527 17.63860715096629 18.986827394947532 19.730513292594 13.50998723362359 13.671158765647498 8.90696286775944 12.590404186088996 12.287077846986444 17.235269038877014 17.090584949737853 21.613547901423008 14.906139214194301 21.173628430650844 23.23046406770554 17.054284647101074 18.50737317480003 15.702994059572445 14.592562010057836 13.379001284798862 14.256674522237697 13.448397426041549 16.329136598103617 15.238855816384726 10.490263104313282 11.969699408791948 23.98325056676016 23.479956463343147 13.287457105096383 13.423986023811475 13.13174423336309 19.06269757278787 22.58582745339813 13.254890531087272 16.50053268665415 20.72966763083338 17.25704083884698 18.652686331275625 15.342867713366164 18.851451149445737 17.66973483257203 20.713211151169585 20.820479918881325 19.221399942761153 10.705581663516126 14.926366686202732 18.505095606777832 23.948520649917214 14.58668256796615 14.14990293481211 9.127451746014778 6.459827088979514 19.753618253146332 17.726296155871427 17.157084150731915 11.047199768223997
100 14.351004535660897 18.522389682340908 15.925958922017402 13.974217737327612 11.639979117566229 15.420452905218875 10.653800467173092 9.365789380109339 15.352099270525613 12.60864918051806 11.724203078185901 6.112834513368615 16.358802419028457 18.831921925474894 18.563169074515727 19.32604870452153 10.992236925485408 17.759189833605998 27.466985501224272 10.631999333289853 11.467329006850813 19.816710270611633 19.223097573757105 17.35618775467178 8.98089600367422 15.91040692968409 18.3992726757278 22.175255579801547 6.040915470691966 18.635381495904934 16.011509043233502 7.186448306166688 18.443813772002184 12.100816676696919 7.088584277601382 4.976798117493807 11.235759868218079 19.66288520802282 18.23652296503396 20.713830767063943 14.099042007183499 14.276902351218013 14.835009417238988 17.658239772791905 14.444355953804763 16.524780179350564 23.153038248903577 22.258339592678315 14.245448399621115 15.232324530673333 10.992163241749026 12.914466054867445 13.040079392366376 17.04291975783785 18.920649639679187 23.311485662960035 17.30307254772549 21.52666265029497 25.77850636234287 17.052868011973676 21.184951238612744 15.334233329277458 13.475015808345368 16.401779553226817 15.590921033080326 14.49767279778842 16.20039767434565 14.506486806096461 10.162851147326519 12.705211731286267 23.451401111897766 20.755292652542302 15.915508374277154 13.225271384797127 15.104196946999881 18.226233321437316 22.75001326764435 15.002987892582494 17.818086449877985 20.356387374694954 18.228300190738636 19.64507662262979 15.437608113746903 17.58371177932704 17.058843325710747 20.309558231831435 20.81381683384531 21.234876769270592 12.408579005497701 14.368147661416488 21.152661560842773 23.554887710649673 15.802861017001815 13.468793264034879 9.196320944122244 8.670867678278675 18.68646496359694 17.92060450403109 17.96673568152396 10.325905864298685
100 12.403506284433128 19.925049317496942 19.902712534063852 15.06274457247712 12.989346030958506 14.574935515125468 13.135738845557889 9.594034352431501 17.269285947045514 13.760615280866633 13.168148558508017 7.884132541652896 17.290750209793845 19.15018932214593 19.93102842492129 18.38117171657263 11.337595796559208 19.82755136170248 27.312460518551855 10.846252829588781 13.319986032788862 20.93469903075914 17.608204291888757 18.615798039539566 10.012108950364679 17.15663509254783 18.659946230675807 22.516759578636595 4.585327880694472 17.48324130786169 17.21889864690455 11.370850320814476 19.089054505088733 11.736249389910036 8.03942707318052 4.7805997871434665 13.506604168902381 19.825886069186033 19.91276294292397 20.730889205296187 16.037210723065296 12.478755011775345 15.035420029006874 18.549176888278687 14.412402487819662 17.198906377664024 23.320189491346063 23.449849897467686 15.55640638208919 16.093353753649648 12.755462742488858 11.559774205015483 12.39885535073214 15.405850490513801 19.70493784142866 23.778074289114404 19.30586086967402 21.966281418727938 24.50452677295521 17.3261591713081 18.57505466616153 15.065790131005928 11.078322202976146 17.00710224450974 15.615197739294926 14.630621034773794 15.342294613932495 14.059194762592796 11.741849883870039 11.348442264042127 23.80571269794386 19.68834870258419 13.976257327893244 15.184505767141928 17.059973130453677 17.66567594801495 21.986844622601705 15.043497806275797 16.907834190341344 19.533455579602677 19.057775591318872 22.38622945995907 15.260235978550948 19.185260565581466 17.764044426741684 18.254481538968268 20.74150308090672 20.84069359982736 14.721940439875837 16.872743450233397 21.719148588724124 24.86657459031575 15.873154897120937 15.517852470194399 9.986408380190495 10.813949819506783 20.397137300399248 18.96233035893834 17.145428164639856 10.445687251992023
100 13.868641425108976 21.207507045458485 20.083531887101966 15.061074384011436 13.635665874408767 14.566616477985777 13.16696739030645 12.825423259331307 16.91331534240231 14.694611893374123 13.87415744733512 7.141635765659796 15.784242471012423 18.974102033710295 17.403684790580954 20.82450558118948 11.482245783295586 19.26517565105485 28.543796323253666 11.269680298460253 14.533171275605262 20.142225411810003 17.850892000302736 20.09090322477981 9.65109746807808 18.069482081163663 15.740818788518105 23.88336178789267 4.861986560090891 17.461868780240543 17.247517904667173 10.572538738566182 17.841021834428936 12.960857557728627 9.467320878415594 4.582850767611734 14.683206941969113 20.63780274428581 19.605058649629076 19.25898190904736 16.297087337074693 13.380903639848842 15.109270606969947 17.90228704414357 15.33015156320505 18.998880683798372 22.036562828023182 22.81332269639855 19.522229119986566 16.753372325118477 11.591252049760342 11.42536534130621 11.786802273359893 16.172044494097953 20.120422029659355 22.84916896755617 21.778277685277036 22.029727128829183 23.558679058088003 15.816422474657198 17.423537162991494 13.719662608827669 11.632112384904786 15.98865904635337 17.00980311988368 14.158562405230802 16.836993828315933 15.139797663133841 13.133332508193032 13.103845695204216 26.077692968836654 18.64578804272998 15.448563139551798 15.92301690173825 18.52992260717396 17.98516971604202 23.520183354281162 13.71855849100549 15.803696188145532 18.850954575003172 19.141635565016472 22.302418095740872 14.586588383657011 18.051615498291007 17.10371493119674 16.288983118665264 20.332414984695255 20.597961191730295 15.535255853733423 17.45129395249343 24.086335027106472 25.57294099906569 17.080493278234723 16.429599539106857 11.270825810386825 11.077143029663297 20.556761767657505 21.4963336519208 17.249647244239465 9.354860640605708
100 15.168705011367539 22.378933998818937 20.24620025488188 13.031468912482662 15.66827865130839 15.226615954728967 13.154926812141595 14.840589033978038 14.573399631046048 15.053913748559596 13.638792556401178 10.001816673988024 16.3406781761604 17.790358670424812 19.071424337952813 17.52201725694582 12.759044348471882 17.676245831837768 27.490975506949056 11.545291271464375 16.0054397696969 23.013009299469665 15.707684719102614 20.788252454741013 13.313554954439677 17.492043402084075 15.346001584285162 23.81062692105321 6.9394720764398565 18.409962445329406 16.938179627277396 10.06311386242576 19.760616807675962 12.42575215539804 7.578854624730542 3.6787969237787213 14.33435283927566 22.60963767270972 18.269234624073107 21.554051282158923 18.292439056795335 14.04645483298648 11.943569109944717 16.5339648061855 14.759101619885092 21.281027258496852 21.09867020404501 21.599068656504464 19.897281783144056 15.162196129343055 12.132593033295704 10.892491375783706 15.702795619442671 15.202513837419321 22.61603254644914 21.32844723071174 22.00742361589402 22.627559620880536 23.448854151214984 16.105697340965758 18.635824055942916 14.635330416520663 12.185658644095364 15.317646509381925 17.079542229848972 14.253311299926255 16.88564168776886 15.613560839845318 11.766954115401777 12.246324281565222 26.674673821068726 15.855437033178191 17.2815022655698 15.370028077480125 20.68686833655002 19.735767604352766 22.991995968804144 13.881332517279064 18.15747260969702 20.61244903446219 20.584871558638348 23.64886480042538 13.513862014710016 18.555219462442388 16.343633524511016 15.24073379887302 20.538883848931413 19.90690282077414 15.506889891950877 17.12941848564833 22.326511131007262 27.37291577632235 17.452318865532416 14.937115386017206 12.016953450172645 13.597346617704494 21.82264869924044 20.681544822481282 16.79830926193063 8.839896173537053
100 14.493068940055288 21.47378915420804 18.290160413792634 12.98274804735063 16.32330552382187 14.988821858992033 13.811465499839892 17.263660166045867 17.394337080570576 15.145635061502727 15.244730671291524 10.47228213952336 15.898891644223504 16.360468664942957 19.25217237290329 19.05101614718312 11.605162258093252 17.45982496402302 26.694476763648115 12.409102518887613 16.524624820962945 23.526097226658788 18.478963022356382 19.721849867705977 12.628573234412826 18.01173199421995 17.671600642336266 21.552490246044727 8.185461230026005 18.173919908633525 18.219081299591597 11.422872876927007 19.89468945991639 13.545191380154325 7.423655252932051 5.719088505867607 16.54168879262333 22.638514545052075 18.02731219618526 21.51427547943848 19.468801077414188 14.303152411828199 10.73632830667946 18.02595558957256 13.760336010840057 21.711477750392305 18.546114684920777 21.620865753010452 19.90772346315777 12.941118234149986 13.075964983157125 9.978100718590394 15.954305277120328 14.944927381479095 20.51225720935457 20.033656720060446 20.62949186826851 23.814702108997807 24.262235770158938 19.115464305281538 17.977685960313256 14.22281773562004 13.066372232491979 15.096754678375525 16.589559589911975 14.628903182846562 18.088674839362398 13.193548570977484 11.558353584798768 10.936039856804 25.97299865925583 16.73279987307453 18.875318938963186 15.008591591474143 20.66848676934922 17.581576490604167 21.81078251192309 14.572367464447744 16.503299886052627 22.204507401015412 21.339633569119176 22.248678456439286 11.983819363299173 17.812317877134397 15.45541634471048 14.108991520799933 18.689986447328007 19.507474846399838 16.639784331815854 16.539442918190183 22.899143699689752 26.439796381098766 18.38495775020015 14.378849260826257 12.818473866255381 14.10279574179601 23.527913210898195 21.32828058064296 17.344107201978666 7.658837044807834
100 14.197210985868676 20.449876323206645 17.31748451478321 13.618309294775608 16.826408907239717 15.718784542797142 15.833538082673414 18.06939459254244 16.08346085373565 15.610228009822716 16.41489584919429 12.872099644721098 15.955274668122446 16.30842992468567 20.719672562439747 19.30328485610053 10.198286594558988 15.301274822513893 28.731627999381057 10.742935935924125 16.472736973663068 24.42006969912618 16.324398223888007 18.47361350712347 11.660329185529214 20.542399563470873 20.621626724451904 20.35904502708292 9.786208933623149 18.622356288546243 17.952360283486357 9.831758666395286 22.966225972250243 11.66011465613153 8.522212414996442 5.877211486883093 18.150446498519273 23.618733550787297 17.107339767034205 20.662544982737863 17.53615648620955 14.896689051872563 12.16137012894045 17.630955166502194 13.841980742718924 24.017964916448012 19.81400494638917 23.23377762517441 17.10710673529539 14.212859536650589 13.921072324113346 9.019895450757 14.741413368668908 15.00221450523088 18.722744426527534 19.170079211623055 19.993918462329674 24.364520045382882 22.964447368205178 18.483449372736818 19.36855203936475 12.302285959666598 14.110312563425495 15.898909113120306 17.47867825165855 14.30099061181675 16.945264398007556 15.732692197142663 11.080526693617909 10.179156833597894 25.472726631270277 16.068769349167702 20.28250410435606 14.92605166412828 22.023342555960795 18.368892008833082 21.324783513924288 16.455414473044524 15.915105291965274 21.64689846366771 22.055175486051137 22.39179525552906 11.685310394533845 16.09482135557661 15.8248300781898 13.772309619686176 18.847981150291886 18.875391933728487 15.82897765736487 16.62343853706958 22.752893716642028 26.828429821743892 19.02127944474975 17.681896092006234 13.445401948193908 13.593249205971954 23.1040557965438 21.92503495653743 18.852966393261326 10.338556053972006
100 13.289958977576571 22.211539593424746 17.43101174612427 12.986633035843989 16.714583514645483 17.606309361004428 16.65696916672154 16.610110514151703 14.908800331961091 14.175730818495245 15.788039441938428 13.553681350615348 14.746839339521351 15.893116389622811 22.49343019976053 21.407089645730103 13.003135564847936 13.33713404002736 30.38809197998184 11.560902605361031 16.745682042129044 25.430598359897814 17.5483335982046 16.301572527680406 11.600330050175348 20.06038144986722 18.99231262581472 21.506594287297666 12.389649910182719 18.62214601403926 18.46088887809417 10.471535955988958 22.927929600379798 13.74196069014679 6.974239670211951 7.509145755597636 18.342158994862285 22.49366812096897 16.88167859461671 23.288756080259105 16.04493522500348 14.975701779941282 14.675481547606202 16.192015531468535 13.647417829575161 23.71694941325535 20.30283754001803 22.862486504246693 16.277338831194175 15.26246067785005 14.249002698505457 10.588466339072205 16.182910074434865 13.411096888673715 20.160117787814553 19.08340580428224 21.08039591897057 24.765433369480014 25.09250306071065 18.48971470565532 18.795563671218673 12.163053570227456 13.438260902999417 17.186370373988282 16.32891438603579 15.693578826000705 16.98791595832469 13.812905561271695 13.6960701581901 6.553553971654308 24.87247941611398 16.725277461506828 17.21637532536074 15.771554313893432 20.86481109398174 18.19074771888588 23.12756379155694 16.934062457433363 15.766395398432552 21.325686004472587 24.336195732019306 22.753247070858663 11.144148755103743 15.87737581809968 14.647394644982809 13.827472710296481 21.0468324730763 18.622665219063368 14.277731361154471 17.615024975081134 22.202540170064278 27.006668661358415 18.743698691499965 19.89021205168396 12.661126637508694 12.488113862883752 24.14580491385202 19.129979737501827 18.718527796818098 12.117408952159993
100 10.901532461864697 22.25656080414971 15.643508039303509 11.183561767214645 15.483541088485318 17.526679813966734 15.89672143590567 18.26949039954749 15.477590791919415 13.80728949251149 14.44180959103529 14.349401988984406 17.757956865396217 15.145600817465068 21.553046110894044 19.87170885377072 15.087562063101355 15.041834091057328 29.18780243266124 11.389003906904732 15.662308158185157 24.66642754654866 19.078579316894615 16.763617937847787 13.982476764700731 19.15430247445016 16.203049325082656 24.665658877980558 13.174726386064899 19.647169522099347 17.514198292146737 9.278032406327524 22.972142753311832 11.59843988728299 7.456846845121092 9.67218500865549 19.079381242040956 22.72020567493601 19.575171427804488 23.813977337405376 13.904703275145346 15.06099467907493 17.36899980162108 16.100049204677624 16.466141674293475 24.729851345368225 19.68979656543622 21.23045299788064 17.100613518542794 17.283074692404252 12.61076385894292 11.347143591444253 13.651553489603264 13.41437589626397 17.991789944065783 20.05434774160009 20.11667733638921 26.010464367124783 23.961177760368447 17.66642031798248 16.692099242806545 13.186159000951644 14.774507708598614 18.538387303316327 17.536157329789994 16.449121025305853 18.07783535874714 15.21809946657259 15.33149281497922 5.567710108688905 23.844765147311154 14.903101404068869 17.811822131841428 18.08725136358857 21.841445580195384 17.55341601883293 23.70435729873234 17.632126970413733 16.374043677547814 19.560099245839517 25.84888074727307 21.03745682996644 11.288703996707147 17.53944795776538 14.603213019316014 14.540490275032596 21.141945532064163 18.692339226941773 14.721750148109859 18.231432401643143 22.30250760357219 25.301968470539506 16.785250419870998 21.33782799954369 14.458531335308134 13.400847567798381 24.326567788097243 17.966892404189238 15.643548691827 12.366790321148256
100 9.033533455203353 22.456809498220505 17.609779659340074 11.062392851859295 14.986925318280047 16.372536383170285 16.153719867558785 18.315987050631794 14.543199765015302 15.26814170733084 18.380706737589833 16.31067920495461 17.716377210224795 15.193157068210668 20.783934507269457 19.13833573146105 16.695834084095534 16.690841508067237 27.173266888131074 12.442421079789868 17.31590135812533 23.902874823901563 18.887554430807075 18.016348822352775 15.418205754315348 19.803155756570934 16.929897362689566 24.738878813186833 13.230515116351604 18.134906449723232 15.628231289410136 10.673452202746224 22.963525582944285 12.754806328845614 7.118637808910485 10.431972434848888 19.27398125547537 24.26951319512375 20.892517238385956 22.85022361576614 15.02198180733453 14.344054127592457 13.962343852627738 18.639208596724636 16.150996953569567 25.7146671094193 18.796285222663787 20.082600306903345 16.688051819385237 17.814664219699125 13.339292729271916 12.502276063530294 13.29636861074703 13.880958504663246 17.030464887494976 22.120489981138707 18.4121400717129 24.612755543293613 23.090108270116648 20.827191086756457 17.831772005327146 12.48480433974371 16.399190127890282 19.23635348196074 18.13917759064316 17.51899152635113 18.37122558300442 15.807493566985965 13.623194486004518 8.44373872184264 22.93642868729178 13.689497162413346 17.267242951893692 17.506197436350938 20.556241837795763 18.750110440764786 24.855953054465026 15.264304555646602 15.946274204885015 19.040496673216328 25.336407429058248 23.20335348670889 10.799722784012568 19.84171847639167 14.827219861480394 17.102258970612866 20.6748513639334 18.116072039599498 14.935702252860214 20.183609018835213 22.50402502767982 25.189044447377494 17.801882215195494 20.23327512629165 15.18151860098981 12.962299058312059 25.99648580854885 18.61686903928511 16.846596943334788 10.231735946250865
100 10.862883008247413 22.159259201458482 15.908998436395972 12.046175925902645 13.343437396381129 17.458998715293205 18.244883013710158 16.09632685770049 15.073557417013877 15.269925926458356 15.984127360178519 17.84972054048815 18.661174536984888 18.081518634018725 21.368954768485448 18.010703412156648 17.678002956481 18.65123139116953 26.1263702339754 14.180503344486253 14.372186120910529 25.50143817014936 20.049627845269583 15.034714504079867 16.408339297085625 17.278143905132268 16.5677462380364 25.07510430552425 13.56986553706768 19.825925439230733 16.047079096568133 11.279960078621539 24.205723440916127 12.920654801942216 8.039503860867486 11.287636098141519 19.284774272713566 25.50135786017553 20.173740038877515 21.85234981803605 14.1213783691237 11.939524973733727 16.17512747361003 17.61673642260639 16.08355232547912 27.196322639443036 18.647299290188055 20.72823449594636 15.249662942968882 19.84024848824451 13.74231502647115 11.713243445705508 12.36513802083812 16.55490813397018 16.520503695440524 20.840375280096403 18.001907797674093 24.381805221342024 22.962418794171104 21.199034665274066 18.216380182918197 13.897435405307437 16.59818573633084 21.903745979074746 17.760728837006084 19.39074095540579 17.839380111936958 14.359362053037982 11.992624581545726 9.838874696712638 24.117707899154173 12.792163943526266 16.312645346682626 18.086447509204703 20.360160695924353 18.116928512528244 22.949230533798303 16.095866251125948 17.13407530771333 19.795483925848814 25.054564591591767 21.57725660697553 11.962001038504539 20.292277948847886 13.618173611696646 17.134678661745127 21.113252328835692 18.039753929725855 12.672638705580265 19.521761180270033 21.562199813591477 25.444745762964555 21.32756247074611 20.552310646579688 13.91793155653647 13.264326953233416 25.561728766312882 19.676086268792428 18.734907625877717 12.870761037358294
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0.txt
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This data is a subset of the dataset of the ACM SIGSPATIAL Cup 2017, which was created by Martin Werner.
It is under the Open Data Commons Open Database License (ODbL) v1.0, see
https://opendatacommons.org/licenses/odbl/1-0/
More detailed license information and a link to the full data set will be added later.

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