Merge pull request #2119 from SmileGoat/audio_add_pitch

[audio] paddlespeech add kaldi feature pitch

CMakeLists.txt

@@ -65,4 +65,4 @@ add_subdirectory(paddlespeech/audio)
 
 # Summary
 include(cmake/summary.cmake)
-onnx_print_configuration_summary()
\ No newline at end of file
+onnx_print_configuration_summary()

paddlespeech/audio/_internal/module_utils.py

@@ -3,6 +3,7 @@ import warnings
 from functools import wraps
 from typing import Optional
 
+#code is from https://github.com/pytorch/audio/blob/main/torchaudio/_internal/module_utils.py
 
 def is_module_available(*modules: str) -> bool:
     r"""Returns if a top-level module with :attr:`name` exists *without**

paddlespeech/audio/backends/no_backend.py

@@ -6,6 +6,7 @@ from typing import Union
 
 from paddle import Tensor
 
+#code is from: https://github.com/pytorch/audio/blob/main/torchaudio/backend/no_backend.py
 
 def load(
     filepath: Union[str, Path],

paddlespeech/audio/backends/sox_io_backend.py

@@ -7,6 +7,7 @@ from typing import Union
 
 from paddle import Tensor
 
+#https://github.com/pytorch/audio/blob/main/torchaudio/backend/sox_io_backend.py
 
 def load(
     filepath: Union[str, Path],

paddlespeech/audio/backends/utils.py

 """Defines utilities for switching audio backends"""
+#code is from: https://github.com/pytorch/audio/blob/main/torchaudio/backend/utils.py
+
 import warnings
 from typing import List
 from typing import Optional

paddlespeech/audio/kaldi/__init__.py

+# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+from . import fbank
+from . import pitch

paddlespeech/audio/kaldi/kaldi.py

+# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+from paddlespeech.audio._internal import module_utils 
+import paddlespeech.audio.ops.paddleaudio.ComputeFbank as ComputeFbank
+import paddlespeech.audio.ops.paddleaudio.PitchExtractionOptions as PitchExtractionOptions
+import paddlespeech.audio.ops.paddleaudio.FrameExtractionOptions as FrameExtractionOptions
+import paddlespeech.audio.ops.paddleaudio.MelBanksOptions as MelBanksOptions
+import paddlespeech.audio.ops.paddleaudio.FbankOptions as FbankOptions
+import paddlespeech.audio.ops.paddleaudio.ComputeKaldiPitch as ComputeKaldiPitch
+
+__all__ = [
+    'fbank',
+    'pitch',
+]
+
+
+@module_utils.requires_kaldi()
+def fbank(wav,
+          samp_freq: int=16000,
+          frame_shift_ms: float=10.0,
+          frame_length_ms: float=25.0,
+          dither: float=0.0,
+          preemph_coeff: float=0.97,
+          remove_dc_offset: bool=True,
+          window_type: str='povey',
+          round_to_power_of_two: bool=True,
+          blackman_coeff: float=0.42,
+          snip_edges: bool=True,
+          allow_downsample: bool=False,
+          allow_upsample: bool=False,
+          max_feature_vectors: int=-1,
+          num_bins: int=23,
+          low_freq: float=20,
+          high_freq: float=0,
+          vtln_low: float=100,
+          vtln_high: float=-500,
+          debug_mel: bool=False,
+          htk_mode: bool=False,
+          use_energy: bool=False, # fbank opts
+          energy_floor: float=0.0,
+          raw_energy: bool=True,
+          htk_compat: bool=False,
+          use_log_fbank: bool=True,
+          use_power: bool=True):
+    frame_opts = FrameExtractionOptions()
+    mel_opts = MelBanksOptions()
+    fbank_opts = FbankOptions()
+    frame_opts.samp_freq = samp_freq  
+    frame_opts.frame_shift_ms = frame_shift_ms
+    frame_opts.frame_length_ms = frame_length_ms
+    frame_opts.dither = dither
+    frame_opts.preemph_coeff = preemph_coeff
+    frame_opts.remove_dc_offset = remove_dc_offset
+    frame_opts.window_type = window_type
+    frame_opts.round_to_power_of_two = round_to_power_of_two
+    frame_opts.blackman_coeff = blackman_coeff
+    frame_opts.snip_edges = snip_edges
+    frame_opts.allow_downsample = allow_downsample
+    frame_opts.allow_upsample = allow_upsample
+    frame_opts.max_feature_vectors = max_feature_vectors
+
+    mel_opts.num_bins = num_bins  
+    mel_opts.low_freq = low_freq
+    mel_opts.high_freq = high_freq
+    mel_opts.vtln_low = vtln_low
+    mel_opts.vtln_high = vtln_high
+    mel_opts.debug_mel = debug_mel
+    mel_opts.htk_mode = htk_mode
+
+    fbank_opts.use_energy = use_energy  
+    fbank_opts.energy_floor = energy_floor
+    fbank_opts.raw_energy = raw_energy
+    fbank_opts.htk_compat = htk_compat
+    fbank_opts.use_log_fbank = use_log_fbank
+    fbank_opts.use_power = use_power
+    feat = ComputeFbank(frame_opts, mel_opts, fbank_opts, wav)
+    return feat
+
+@module_utils.requires_kaldi()
+def pitch(wav,
+          samp_freq: int=16000,
+          frame_shift_ms: float=10.0,
+          frame_length_ms: float=25.0,
+          preemph_coeff: float=0.0,
+          min_f0: int=50,
+          max_f0: int=400,
+          soft_min_f0: float=10.0,
+          penalty_factor: float=0.1,
+          lowpass_cutoff: int=1000,
+          resample_freq: int=4000,
+          delta_pitch: float=0.005,
+          nccf_ballast: int=7000,
+          lowpass_filter_width: int=1,
+          upsample_filter_width: int=5,
+          max_frames_latency: int=0,
+          frames_per_chunk: int=0,
+          simulate_first_pass_online: bool=False,
+          recompute_frame: int=500,
+          nccf_ballast_online: bool=False,
+          snip_edges: bool=True):
+    pitch_opts = PitchExtractionOptions()
+    pitch_opts.samp_freq = samp_freq
+    pitch_opts.frame_shift_ms = frame_shift_ms
+    pitch_opts.frame_length_ms = frame_length_ms
+    pitch_opts.preemph_coeff = preemph_coeff 
+    pitch_opts.min_f0 = min_f0
+    pitch_opts.max_f0 = max_f0
+    pitch_opts.soft_min_f0 = soft_min_f0
+    pitch_opts.penalty_factor = penalty_factor
+    pitch_opts.lowpass_cutoff = lowpass_cutoff
+    pitch_opts.resample_freq = resample_freq
+    pitch_opts.delta_pitch = delta_pitch
+    pitch_opts.nccf_ballast = nccf_ballast
+    pitch_opts.lowpass_filter_width = lowpass_filter_width
+    pitch_opts.upsample_filter_width = upsample_filter_width
+    pitch_opts.max_frames_latency = max_frames_latency
+    pitch_opts.frames_per_chunk = frames_per_chunk
+    pitch_opts.simulate_first_pass_online = simulate_first_pass_online
+    pitch_opts.recompute_frame = recompute_frame
+    pitch_opts.nccf_ballast_online = nccf_ballast_online
+    pitch_opts.snip_edges = snip_edges
+    pitch = ComputeKaldiPitch(pitch_opts, wav)
+    return pitch

paddlespeech/audio/src/pybind/kaldi/kaldi_feature.cc

@@ -13,137 +13,63 @@
 // limitations under the License.
 
 #include "paddlespeech/audio/src/pybind/kaldi/kaldi_feature.h"
+#include "feat/pitch-functions.h"
 
 namespace paddleaudio {
 namespace kaldi {
 
-bool InitFbank(float samp_freq,  // frame opts
-               float frame_shift_ms,
-               float frame_length_ms,
-               float dither,
-               float preemph_coeff,
-               bool remove_dc_offset,
-               std::string window_type,  // e.g. Hamming window
-               bool round_to_power_of_two,
-               float blackman_coeff,
-               bool snip_edges,
-               bool allow_downsample,
-               bool allow_upsample,
-               int max_feature_vectors,
-               int num_bins,  // mel opts
-               float low_freq,
-               float high_freq,
-               float vtln_low,
-               float vtln_high,
-               bool debug_mel,
-               bool htk_mode,
-               bool use_energy,  // fbank opts
-               float energy_floor,
-               bool raw_energy,
-               bool htk_compat,
-               bool use_log_fbank,
-               bool use_power) {
+bool InitFbank(
+    ::kaldi::FrameExtractionOptions frame_opts,
+    ::kaldi::MelBanksOptions mel_opts,
+    FbankOptions fbank_opts) {
     ::kaldi::FbankOptions opts;
-    opts.frame_opts.samp_freq = samp_freq;  // frame opts
-    opts.frame_opts.frame_shift_ms = frame_shift_ms;
-    opts.frame_opts.frame_length_ms = frame_length_ms;
-    opts.frame_opts.dither = dither;
-    opts.frame_opts.preemph_coeff = preemph_coeff;
-    opts.frame_opts.remove_dc_offset = remove_dc_offset;
-    opts.frame_opts.window_type = window_type;
-    opts.frame_opts.round_to_power_of_two = round_to_power_of_two;
-    opts.frame_opts.blackman_coeff = blackman_coeff;
-    opts.frame_opts.snip_edges = snip_edges;
-    opts.frame_opts.allow_downsample = allow_downsample;
-    opts.frame_opts.allow_upsample = allow_upsample;
-    opts.frame_opts.max_feature_vectors = max_feature_vectors;
-
-    opts.mel_opts.num_bins = num_bins;  // mel opts
-    opts.mel_opts.low_freq = low_freq;
-    opts.mel_opts.high_freq = high_freq;
-    opts.mel_opts.vtln_low = vtln_low;
-    opts.mel_opts.vtln_high = vtln_high;
-    opts.mel_opts.debug_mel = debug_mel;
-    opts.mel_opts.htk_mode = htk_mode;
-
-    opts.use_energy = use_energy;  // fbank opts
-    opts.energy_floor = energy_floor;
-    opts.raw_energy = raw_energy;
-    opts.htk_compat = htk_compat;
-    opts.use_log_fbank = use_log_fbank;
-    opts.use_power = use_power;
+    opts.frame_opts = frame_opts;
+    opts.mel_opts = mel_opts;
+    opts.use_energy = fbank_opts.use_energy;
+    opts.energy_floor = fbank_opts.energy_floor;
+    opts.raw_energy = fbank_opts.raw_energy;
+    opts.htk_compat = fbank_opts.htk_compat;
+    opts.use_log_fbank = fbank_opts.use_log_fbank;
+    opts.use_power = fbank_opts.use_power;
     paddleaudio::kaldi::KaldiFeatureWrapper::GetInstance()->InitFbank(opts);
     return true;
 }
 
-py::array_t<double> ComputeFbankStreaming(const py::array_t<double>& wav) {
+py::array_t<float> ComputeFbankStreaming(const py::array_t<float>& wav) {
     return paddleaudio::kaldi::KaldiFeatureWrapper::GetInstance()->ComputeFbank(
         wav);
 }
 
-py::array_t<double> ComputeFbank(
-    float samp_freq,  // frame opts
-    float frame_shift_ms,
-    float frame_length_ms,
-    float dither,
-    float preemph_coeff,
-    bool remove_dc_offset,
-    std::string window_type,  // e.g. Hamming window
-    bool round_to_power_of_two,
-    float blackman_coeff,
-    bool snip_edges,
-    bool allow_downsample,
-    bool allow_upsample,
-    int max_feature_vectors,
-    int num_bins,  // mel opts
-    float low_freq,
-    float high_freq,
-    float vtln_low,
-    float vtln_high,
-    bool debug_mel,
-    bool htk_mode,
-    bool use_energy,  // fbank opts
-    float energy_floor,
-    bool raw_energy,
-    bool htk_compat,
-    bool use_log_fbank,
-    bool use_power,
-    const py::array_t<double>& wav) {
-    InitFbank(samp_freq,  // frame opts
-              frame_shift_ms,
-              frame_length_ms,
-              dither,
-              preemph_coeff,
-              remove_dc_offset,
-              window_type,  // e.g. Hamming window
-              round_to_power_of_two,
-              blackman_coeff,
-              snip_edges,
-              allow_downsample,
-              allow_upsample,
-              max_feature_vectors,
-              num_bins,  // mel opts
-              low_freq,
-              high_freq,
-              vtln_low,
-              vtln_high,
-              debug_mel,
-              htk_mode,
-              use_energy,  // fbank opts
-              energy_floor,
-              raw_energy,
-              htk_compat,
-              use_log_fbank,
-              use_power);
-    py::array_t<double> result = ComputeFbankStreaming(wav);
+py::array_t<float> ComputeFbank(
+    ::kaldi::FrameExtractionOptions frame_opts,
+    ::kaldi::MelBanksOptions mel_opts,
+    FbankOptions fbank_opts,
+    const py::array_t<float>& wav) {
+    InitFbank(frame_opts, mel_opts, fbank_opts);
+    py::array_t<float> result = ComputeFbankStreaming(wav);
     paddleaudio::kaldi::KaldiFeatureWrapper::GetInstance()->ResetFbank();
     return result;
 }
 
-
 void ResetFbank() {
     paddleaudio::kaldi::KaldiFeatureWrapper::GetInstance()->ResetFbank();
 }
 
+py::array_t<float> ComputeKaldiPitch(
+  const ::kaldi::PitchExtractionOptions& opts,
+  const py::array_t<float>& wav) {
+    py::buffer_info info = wav.request();
+    ::kaldi::SubVector<::kaldi::BaseFloat> input_wav((float*)info.ptr, info.size);
+   
+    ::kaldi::Matrix<::kaldi::BaseFloat> features;
+    ::kaldi::ComputeKaldiPitch(opts, input_wav, &features);
+    auto result = py::array_t<float>({features.NumRows(), features.NumCols()});
+    for (int row_idx = 0; row_idx < features.NumRows(); ++row_idx) {
+        std::memcpy(result.mutable_data(row_idx), features.Row(row_idx).Data(),
+                    sizeof(float)*features.NumCols());
+    }
+   return result;
+}
+
 }  // namespace kaldi
 }  // namespace paddleaudio

paddlespeech/audio/src/pybind/kaldi/kaldi_feature.h

@@ -19,75 +19,46 @@
 #include <string>
 
 #include "paddlespeech/audio/src/pybind/kaldi/kaldi_feature_wrapper.h"
+#include "feat/pitch-functions.h"
 
 namespace py = pybind11;
 
 namespace paddleaudio {
 namespace kaldi {
 
-bool InitFbank(float samp_freq,  // frame opts
-               float frame_shift_ms,
-               float frame_length_ms,
-               float dither,
-               float preemph_coeff,
-               bool remove_dc_offset,
-               std::string window_type,  // e.g. Hamming window
-               bool round_to_power_of_two,
-               float blackman_coeff,
-               bool snip_edges,
-               bool allow_downsample,
-               bool allow_upsample,
-               int max_feature_vectors,
-               int num_bins,  // mel opts
-               float low_freq,
-               float high_freq,
-               float vtln_low,
-               float vtln_high,
-               bool debug_mel,
-               bool htk_mode,
-               bool use_energy,  // fbank opts
-               float energy_floor,
-               bool raw_energy,
-               bool htk_compat,
-               bool use_log_fbank,
-               bool use_power);
+struct FbankOptions{
+  bool use_energy;  // append an extra dimension with energy to the filter banks
+  float energy_floor;
+  bool raw_energy;  // If true, compute energy before preemphasis and windowing
+  bool htk_compat;  // If true, put energy last (if using energy)
+  bool use_log_fbank;  // if true (default), produce log-filterbank, else linear
+  bool use_power; 
+  FbankOptions(): use_energy(false),
+                 energy_floor(0.0),
+                 raw_energy(true),
+                 htk_compat(false),
+                 use_log_fbank(true),
+                 use_power(true) {}
+};
 
-py::array_t<double> ComputeFbank(
-    float samp_freq,  // frame opts
-    float frame_shift_ms,
-    float frame_length_ms,
-    float dither,
-    float preemph_coeff,
-    bool remove_dc_offset,
-    std::string window_type,  // e.g. Hamming window
-    bool round_to_power_of_two,
-    ::kaldi::BaseFloat blackman_coeff,
-    bool snip_edges,
-    bool allow_downsample,
-    bool allow_upsample,
-    int max_feature_vectors,
-    int num_bins,  // mel opts
-    float low_freq,
-    float high_freq,
-    float vtln_low,
-    float vtln_high,
-    bool debug_mel,
-    bool htk_mode,
-    bool use_energy,  // fbank opts
-    float energy_floor,
-    bool raw_energy,
-    bool htk_compat,
-    bool use_log_fbank,
-    bool use_power,
-    const py::array_t<double>& wav);
+bool InitFbank(
+    ::kaldi::FrameExtractionOptions frame_opts,
+    ::kaldi::MelBanksOptions mel_opts,
+    FbankOptions fbank_opts);
 
-py::array_t<double> ComputeFbankStreaming(const py::array_t<double>& wav);
+py::array_t<float> ComputeFbank(
+    ::kaldi::FrameExtractionOptions frame_opts,
+    ::kaldi::MelBanksOptions mel_opts,
+    FbankOptions fbank_opts,
+    const py::array_t<float>& wav);
 
-void ResetFbank();
+py::array_t<float> ComputeFbankStreaming(const py::array_t<float>& wav);
 
-py::array_t<double> ComputeFbankStreaming(const py::array_t<double>& wav);
+void ResetFbank();
 
-py::array_t<double> TestFun(const py::array_t<double>& wav);
+py::array_t<float> ComputeKaldiPitch(
+    const ::kaldi::PitchExtractionOptions& opts,
+    const py::array_t<float>& wav);
 
 }  // namespace kaldi
 }  // namespace paddleaudio

paddlespeech/audio/src/pybind/kaldi/kaldi_feature_wrapper.cc

@@ -27,47 +27,24 @@ bool KaldiFeatureWrapper::InitFbank(::kaldi::FbankOptions opts) {
     return true;
 }
 
-py::array_t<double> KaldiFeatureWrapper::ComputeFbank(
-    const py::array_t<double> wav) {
+py::array_t<float> KaldiFeatureWrapper::ComputeFbank(
+    const py::array_t<float> wav) {
     py::buffer_info info = wav.request();
-    ::kaldi::Vector<::kaldi::BaseFloat> input_wav(info.size);
-    double* wav_ptr = (double*)info.ptr;
-    for (int idx = 0; idx < info.size; ++idx) {
-        input_wav(idx) = *wav_ptr;
-        wav_ptr++;
-    }
-
+    ::kaldi::SubVector<::kaldi::BaseFloat> input_wav((float*)info.ptr, info.size);
 
     ::kaldi::Vector<::kaldi::BaseFloat> feats;
     bool flag = fbank_->ComputeFeature(input_wav, &feats);
-    if (flag == false || feats.Dim() == 0) return py::array_t<double>();
-    auto result = py::array_t<double>(feats.Dim());
+    if (flag == false || feats.Dim() == 0) return py::array_t<float>();
+    auto result = py::array_t<float>(feats.Dim());
     py::buffer_info xs = result.request();
-    for (int idx = 0; idx < 10; ++idx) {
-        float val = feats(idx);
-        std::cout << val << " ";
-    }
     std::cout << std::endl;
-    double* res_ptr = (double*)xs.ptr;
+    float* res_ptr = (float*)xs.ptr;
     for (int idx = 0; idx < feats.Dim(); ++idx) {
         *res_ptr = feats(idx);
         res_ptr++;
     }
 
     return result.reshape({feats.Dim() / Dim(), Dim()});
-    /*
-         py::buffer_info info = wav.request();
-        std::cout << info.size << std::endl;
-        auto result = py::array_t<double>(info.size);
-       //::kaldi::Vector<::kaldi::BaseFloat> input_wav(info.size);
-        ::kaldi::Vector<double> input_wav(info.size);
-        py::buffer_info info_re = result.request();
-
-        memcpy(input_wav.Data(), (double*)info.ptr, wav.nbytes());
-        memcpy((double*)info_re.ptr, input_wav.Data(), input_wav.Dim()*
-       sizeof(double));
-        return result;
-    */
 }
 
 }  // namesapce kaldi

paddlespeech/audio/src/pybind/kaldi/kaldi_feature_wrapper.h

@@ -28,7 +28,7 @@ class KaldiFeatureWrapper {
   public:
     static KaldiFeatureWrapper* GetInstance();
     bool InitFbank(::kaldi::FbankOptions opts);
-    py::array_t<double> ComputeFbank(const py::array_t<double> wav);
+    py::array_t<float> ComputeFbank(const py::array_t<float> wav);
     int Dim() { return fbank_->Dim(); }
     void ResetFbank() { fbank_->Reset(); }
 

paddlespeech/audio/src/pybind/pybind.cpp

@@ -3,20 +3,76 @@
 
 #include "paddlespeech/audio/src/pybind/kaldi/kaldi_feature.h"
 #include "paddlespeech/audio/src/pybind/sox/io.h"
+#include "paddlespeech/audio/third_party/kaldi/feat/feature-fbank.h"
 
-// Sox
 PYBIND11_MODULE(_paddleaudio, m) {
+#ifdef INCLUDE_SOX
     m.def("get_info_file",
           &paddleaudio::sox_io::get_info_file,
           "Get metadata of audio file.");
     m.def("get_info_fileobj",
           &paddleaudio::sox_io::get_info_fileobj,
           "Get metadata of audio in file object.");
+#endif
 
-    m.def("InitFbank", &paddleaudio::kaldi::InitFbank, "init fbank");
-    m.def("ResetFbank", &paddleaudio::kaldi::ResetFbank, "reset fbank");
+#ifdef INCLUDE_KALDI
     m.def("ComputeFbank", &paddleaudio::kaldi::ComputeFbank, "compute fbank");
-    m.def("ComputeFbankStreaming",
-          &paddleaudio::kaldi::ComputeFbankStreaming,
-          "compute fbank streaming");
+    py::class_<kaldi::PitchExtractionOptions>(m, "PitchExtractionOptions")
+        .def(py::init<>())
+        .def_readwrite("samp_freq", &kaldi::PitchExtractionOptions::samp_freq)
+        .def_readwrite("frame_shift_ms", &kaldi::PitchExtractionOptions::frame_shift_ms)
+        .def_readwrite("frame_length_ms", &kaldi::PitchExtractionOptions::frame_length_ms)
+        .def_readwrite("preemph_coeff", &kaldi::PitchExtractionOptions::preemph_coeff)
+        .def_readwrite("min_f0", &kaldi::PitchExtractionOptions::min_f0)
+        .def_readwrite("max_f0", &kaldi::PitchExtractionOptions::max_f0)
+        .def_readwrite("soft_min_f0", &kaldi::PitchExtractionOptions::soft_min_f0)
+        .def_readwrite("penalty_factor", &kaldi::PitchExtractionOptions::penalty_factor)
+        .def_readwrite("lowpass_cutoff", &kaldi::PitchExtractionOptions::lowpass_cutoff)
+        .def_readwrite("resample_freq", &kaldi::PitchExtractionOptions::resample_freq)
+        .def_readwrite("delta_pitch", &kaldi::PitchExtractionOptions::delta_pitch)
+        .def_readwrite("nccf_ballast", &kaldi::PitchExtractionOptions::nccf_ballast)
+        .def_readwrite("lowpass_filter_width", &kaldi::PitchExtractionOptions::lowpass_filter_width)
+        .def_readwrite("upsample_filter_width", &kaldi::PitchExtractionOptions::upsample_filter_width)
+        .def_readwrite("max_frames_latency", &kaldi::PitchExtractionOptions::max_frames_latency)
+        .def_readwrite("frames_per_chunk", &kaldi::PitchExtractionOptions::frames_per_chunk)
+        .def_readwrite("simulate_first_pass_online", &kaldi::PitchExtractionOptions::simulate_first_pass_online)
+        .def_readwrite("recompute_frame", &kaldi::PitchExtractionOptions::recompute_frame)
+        .def_readwrite("nccf_ballast_online", &kaldi::PitchExtractionOptions::nccf_ballast_online)
+        .def_readwrite("snip_edges", &kaldi::PitchExtractionOptions::snip_edges);
+    m.def("ComputeKaldiPitch", &paddleaudio::kaldi::ComputeKaldiPitch, "compute kaldi pitch");
+    py::class_<kaldi::FrameExtractionOptions>(m, "FrameExtractionOptions")
+        .def(py::init<>())            
+        .def_readwrite("samp_freq", &kaldi::FrameExtractionOptions::samp_freq)
+        .def_readwrite("frame_shift_ms", &kaldi::FrameExtractionOptions::frame_shift_ms)            
+        .def_readwrite("frame_length_ms", &kaldi::FrameExtractionOptions::frame_length_ms)
+        .def_readwrite("dither", &kaldi::FrameExtractionOptions::dither)            
+        .def_readwrite("preemph_coeff", &kaldi::FrameExtractionOptions::preemph_coeff)            
+        .def_readwrite("remove_dc_offset", &kaldi::FrameExtractionOptions::remove_dc_offset)            
+        .def_readwrite("window_type", &kaldi::FrameExtractionOptions::window_type)
+        .def_readwrite("round_to_power_of_two", &kaldi::FrameExtractionOptions::round_to_power_of_two)           
+        .def_readwrite("blackman_coeff", &kaldi::FrameExtractionOptions::blackman_coeff)          
+        .def_readwrite("snip_edges", &kaldi::FrameExtractionOptions::snip_edges)
+        .def_readwrite("allow_downsample", &kaldi::FrameExtractionOptions::allow_downsample)
+        .def_readwrite("allow_upsample", &kaldi::FrameExtractionOptions::allow_upsample)
+        .def_readwrite("max_feature_vectors", &kaldi::FrameExtractionOptions::max_feature_vectors);
+    py::class_<kaldi::MelBanksOptions>(m, "MelBanksOptions")
+        .def(py::init<>())
+        .def_readwrite("num_bins", &kaldi::MelBanksOptions::num_bins)
+        .def_readwrite("low_freq", &kaldi::MelBanksOptions::low_freq)
+        .def_readwrite("high_freq", &kaldi::MelBanksOptions::high_freq)
+        .def_readwrite("vtln_low", &kaldi::MelBanksOptions::vtln_low)
+        .def_readwrite("vtln_high", &kaldi::MelBanksOptions::vtln_high)
+        .def_readwrite("debug_mel", &kaldi::MelBanksOptions::debug_mel)
+        .def_readwrite("htk_mode", &kaldi::MelBanksOptions::htk_mode);
+
+    py::class_<paddleaudio::kaldi::FbankOptions>(m, "FbankOptions")
+        .def(py::init<>())
+        .def_readwrite("use_energy", &paddleaudio::kaldi::FbankOptions::use_energy)
+        .def_readwrite("energy_floor", &paddleaudio::kaldi::FbankOptions::energy_floor)
+        .def_readwrite("raw_energy", &paddleaudio::kaldi::FbankOptions::raw_energy)
+        .def_readwrite("htk_compat", &paddleaudio::kaldi::FbankOptions::htk_compat)
+        .def_readwrite("use_log_fbank", &paddleaudio::kaldi::FbankOptions::use_log_fbank)
+        .def_readwrite("use_power", &paddleaudio::kaldi::FbankOptions::use_power);
+#endif
+
 }

paddlespeech/audio/third_party/kaldi/CMakeLists.txt

@@ -32,9 +32,9 @@ target_include_directories(kaldi-base PUBLIC ${CMAKE_CURRENT_SOURCE_DIR})
 # kaldi-matrix
 add_library(kaldi-matrix STATIC
   matrix/compressed-matrix.cc
+  matrix/matrix-functions.cc
   matrix/kaldi-matrix.cc
   matrix/kaldi-vector.cc
-  matrix/matrix-functions.cc
   matrix/optimization.cc
   matrix/packed-matrix.cc
   matrix/qr.cc
@@ -65,13 +65,14 @@ target_link_libraries(kaldi-util PUBLIC kaldi-base kaldi-matrix)
 
 # kaldi-feat-common
 add_library(kaldi-feat-common STATIC
-  feat/wave-reader.cc
-  feat/signal.cc
+  feat/cmvn.cc
   feat/feature-functions.cc
   feat/feature-window.cc
-  feat/resample.cc
   feat/mel-computations.cc
-  feat/cmvn.cc
+  feat/pitch-functions.cc
+  feat/resample.cc
+  feat/signal.cc
+  feat/wave-reader.cc
 )
 target_include_directories(kaldi-feat-common PUBLIC ${CMAKE_CURRENT_SOURCE_DIR})
 target_link_libraries(kaldi-feat-common PUBLIC kaldi-base kaldi-matrix kaldi-util)
@@ -113,4 +114,4 @@ target_link_libraries(libkaldi INTERFACE
   gfortran
   -Wl,--no-whole-archive -Wl,--end-group
 )
-target_compile_definitions(libkaldi INTERFACE "-DCOMPILE_WITHOUT_OPENFST")
\ No newline at end of file
+target_compile_definitions(libkaldi INTERFACE "-DCOMPILE_WITHOUT_OPENFST")

speechx/speechx/kaldi/feat/feature-plp.h

@@ -27,7 +27,7 @@
 #include "feat/feature-functions.h"
 #include "feat/feature-window.h"
 #include "feat/mel-computations.h"
-#include "itf/options-itf.h"
+#include "util/options-itf.h"
 
 namespace kaldi {
 /// @addtogroup  feat FeatureExtraction

speechx/speechx/kaldi/feat/online-feature-itf.h

+// feat/online-feature-itf.h
+
+// Copyright    2013  Johns Hopkins University (author: Daniel Povey)
+
+// See ../../COPYING for clarification regarding multiple authors
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//  http://www.apache.org/licenses/LICENSE-2.0
+//
+// THIS CODE IS PROVIDED *AS IS* BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, EITHER EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION ANY IMPLIED
+// WARRANTIES OR CONDITIONS OF TITLE, FITNESS FOR A PARTICULAR PURPOSE,
+// MERCHANTABLITY OR NON-INFRINGEMENT.
+// See the Apache 2 License for the specific language governing permissions and
+// limitations under the License.
+
+#ifndef KALDI_FEAT_ONLINE_FEATURE_ITF_H_
+#define KALDI_FEAT_ONLINE_FEATURE_ITF_H_ 1
+#include "base/kaldi-common.h"
+#include "matrix/matrix-lib.h"
+
+namespace kaldi {
+/// @ingroup Interfaces
+/// @{
+
+/**
+   OnlineFeatureInterface is an interface for online feature processing (it is
+   also usable in the offline setting, but currently we're not using it for
+   that).  This is for use in the online2/ directory, and it supersedes the
+   interface in ../online/online-feat-input.h.  We have a slightly different
+   model that puts more control in the hands of the calling thread, and won't
+   involve waiting on semaphores in the decoding thread.
+
+   This interface only specifies how the object *outputs* the features.
+   How it obtains the features, e.g. from a previous object or objects of type
+   OnlineFeatureInterface, is not specified in the interface and you will
+   likely define new constructors or methods in the derived type to do that.
+
+   You should appreciate that this interface is designed to allow random
+   access to features, as long as they are ready.  That is, the user
+   can call GetFrame for any frame less than NumFramesReady(), and when
+   implementing a child class you must not make assumptions about the
+   order in which the user makes these calls.
+*/
+
+class OnlineFeatureInterface {
+ public:
+  virtual int32 Dim() const = 0; /// returns the feature dimension.
+
+  /// Returns the total number of frames, since the start of the utterance, that
+  /// are now available.  In an online-decoding context, this will likely
+  /// increase with time as more data becomes available.
+  virtual int32 NumFramesReady() const = 0;
+
+  /// Returns true if this is the last frame.  Frame indices are zero-based, so the
+  /// first frame is zero.  IsLastFrame(-1) will return false, unless the file
+  /// is empty (which is a case that I'm not sure all the code will handle, so
+  /// be careful).  This function may return false for some frame if
+  /// we haven't yet decided to terminate decoding, but later true if we decide
+  /// to terminate decoding.  This function exists mainly to correctly handle
+  /// end effects in feature extraction, and is not a mechanism to determine how
+  /// many frames are in the decodable object (as it used to be, and for backward
+  /// compatibility, still is, in the Decodable interface).
+  virtual bool IsLastFrame(int32 frame) const = 0;
+
+  /// Gets the feature vector for this frame.  Before calling this for a given
+  /// frame, it is assumed that you called NumFramesReady() and it returned a
+  /// number greater than "frame".  Otherwise this call will likely crash with
+  /// an assert failure.  This function is not declared const, in case there is
+  /// some kind of caching going on, but most of the time it shouldn't modify
+  /// the class.
+  virtual void GetFrame(int32 frame, VectorBase<BaseFloat> *feat) = 0;
+
+
+  /// This is like GetFrame() but for a collection of frames.  There is a
+  /// default implementation that just gets the frames one by one, but it
+  /// may be overridden for efficiency by child classes (since sometimes
+  /// it's more efficient to do things in a batch).
+  virtual void GetFrames(const std::vector<int32> &frames,
+                         MatrixBase<BaseFloat> *feats) {
+    KALDI_ASSERT(static_cast<int32>(frames.size()) == feats->NumRows());
+    for (size_t i = 0; i < frames.size(); i++) {
+      SubVector<BaseFloat> feat(*feats, i);
+      GetFrame(frames[i], &feat);
+    }
+  }
+
+
+  // Returns frame shift in seconds.  Helps to estimate duration from frame
+  // counts.
+  virtual BaseFloat FrameShiftInSeconds() const = 0;
+
+  /// Virtual destructor.  Note: constructors that take another member of
+  /// type OnlineFeatureInterface are not expected to take ownership of
+  /// that pointer; the caller needs to keep track of that manually.
+  virtual ~OnlineFeatureInterface() { }
+
+};
+
+
+/// Add a virtual class for "source" features such as MFCC or PLP or pitch
+/// features.
+class OnlineBaseFeature: public OnlineFeatureInterface {
+ public:
+  /// This would be called from the application, when you get more wave data.
+  /// Note: the sampling_rate is typically only provided so the code can assert
+  /// that it matches the sampling rate expected in the options.
+  virtual void AcceptWaveform(BaseFloat sampling_rate,
+                              const VectorBase<BaseFloat> &waveform) = 0;
+
+  /// InputFinished() tells the class you won't be providing any
+  /// more waveform.  This will help flush out the last few frames
+  /// of delta or LDA features (it will typically affect the return value
+  /// of IsLastFrame.
+  virtual void InputFinished() = 0;
+};
+
+
+/// @}
+}  // namespace Kaldi
+
+#endif  // KALDI_ITF_ONLINE_FEATURE_ITF_H_

speechx/speechx/kaldi/feat/online-feature.h

@@ -34,7 +34,7 @@
 #include "feat/feature-mfcc.h"
 #include "feat/feature-plp.h"
 #include "feat/feature-fbank.h"
-#include "itf/online-feature-itf.h"
+#include "feat/online-feature-itf.h"
 
 namespace kaldi {
 /// @addtogroup  onlinefeat OnlineFeatureExtraction

speechx/speechx/kaldi/feat/pitch-functions.h

@@ -31,7 +31,7 @@
 
 #include "base/kaldi-error.h"
 #include "feat/mel-computations.h"
-#include "itf/online-feature-itf.h"
+#include "feat/online-feature-itf.h"
 #include "matrix/matrix-lib.h"
 #include "util/common-utils.h"
 

tests/unit/audio/features/test_kaldi_feat.py

+# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+import unittest
+
+import numpy as np
+import paddle
+
+import paddlespeech.audio.kaldi.fbank as fbank
+import paddlespeech.audio.kaldi.pitch as pitch
+from kaldiio import ReadHelper
+
+# the groundtruth feats computed in kaldi command below.
+#compute-fbank-feats  --dither=0 scp:$wav_scp ark,t:fbank_feat.ark
+#compute-kaldi-pitch-feats --sample-frequency=16000 scp:$wav_scp ark,t:pitch_feat.ark
+
+class TestKaldiFbank(unittest.TestCase):
+
+    def test_fbank(self):
+        fbank_groundtruth = {}
+        with ReadHelper('ark:testdata/fbank_feat.ark') as reader:
+            for key, feat in reader:
+                fbank_groundtruth[key] = feat
+
+        with ReadHelper('ark:testdata/wav.ark') as reader:
+            for key, wav in reader:
+                fbank_feat = fbank(wav)
+                fbank_check = fbank_groundtruth[key]
+                np.testing.assert_array_almost_equal(
+                    fbank_feat, fbank_check, decimal=4)
+
+    def test_pitch(self):
+        pitch_groundtruth = {}
+        with ReadHelper('ark:testdata/pitch_feat.ark') as reader:
+           for key, feat in reader:
+               pitch_groundtruth[key] = feat
+
+        with ReadHelper('ark:testdata/wav.ark') as reader:
+            for key, wav in reader:
+                pitch_feat = pitch(wav)
+                pitch_check = pitch_groundtruth[key]
+                np.testing.assert_array_almost_equal(
+                    pitch_feat, pitch_check, decimal=4)
+
+
+
+if __name__ == '__main__':
+    unittest.main()

tests/unit/audio/features/testdata/fbank_feat.ark

+test_wav  [
+  8.86961 7.025289 6.664165 7.169617 7.317829 7.188704 8.351522 8.843228 7.711394 7.231504 6.903938 7.053499 7.293597 8.331067 7.871729 9.206844 9.434045 9.768963 10.01864 10.25888 10.68228 10.55968 10.62156 
+  8.364346 7.526375 6.915925 6.705005 7.641569 7.827819 8.253532 7.794802 7.522578 7.222802 7.388284 7.493527 8.257078 9.141049 8.994849 9.348937 9.015431 9.343955 10.42236 10.13459 10.40709 10.39534 10.22199 
+  7.230361 6.771988 6.422344 7.535786 7.164408 6.342811 8.723886 8.481328 6.804535 7.276428 7.471786 7.581892 8.757826 8.764767 8.570841 8.741215 9.756334 9.515329 9.720121 10.26671 10.67728 10.5581 10.61378 
+  8.872903 7.371414 6.360067 6.153208 7.333708 8.0974 8.851793 8.730195 7.622618 7.169075 7.85181 7.04872 7.978426 8.408302 8.802312 8.395834 9.217923 8.381662 9.777567 10.40261 10.37856 10.31888 10.34441 
+  7.532231 6.751142 8.175496 7.593341 8.063697 8.369373 7.881088 8.15251 7.428252 7.103447 7.989072 7.949497 8.124873 8.496659 8.553727 8.761693 9.109408 9.4684 10.13223 10.16827 9.71019 10.59482 10.90851 
+  6.746207 6.833902 8.067636 7.6485 7.013279 7.693223 8.147296 8.030097 7.067122 8.186153 7.784977 8.756321 8.6457 8.458344 7.769485 8.669812 9.332602 9.097817 9.444702 9.950351 10.18657 10.94016 11.36237 
+  7.128079 7.711221 6.469111 6.649592 6.508276 7.082622 7.440871 7.623552 7.594537 7.354738 8.278585 8.652099 8.709033 8.605441 8.353497 8.4307 9.50789 9.312969 9.785786 10.18853 10.35708 10.71134 11.13716 
+  8.201805 8.373339 7.420624 6.559644 6.318965 6.861043 7.299667 7.459548 7.392651 7.774329 7.917755 8.39668 8.304465 7.503887 8.319722 9.310571 9.144365 9.811728 9.738833 9.825593 10.65616 10.42954 10.28108 
+  8.140867 8.803907 7.842072 6.760153 6.040633 7.099484 7.671337 7.230731 7.280159 7.825505 8.67013 7.970374 7.691161 7.603088 8.121623 8.186304 8.884687 9.764359 9.774008 10.14217 10.57618 10.70955 10.46593 
+  9.335081 7.443659 6.302314 6.274453 6.648484 7.101899 8.31965 7.279731 7.011406 7.738722 8.111496 7.826912 9.217668 8.704701 8.520703 9.237556 9.141415 9.966189 10.13588 10.02818 10.32232 10.5961 10.39195 
+  8.623323 6.642638 6.092153 6.010561 6.961139 7.523609 7.631736 6.81785 6.3952 7.437364 7.784822 8.421501 8.569756 8.931039 8.394889 8.730085 8.568606 9.672934 10.10908 10.22258 10.30489 10.11329 10.44942 
+  8.340079 7.404711 6.73463 6.621991 6.641872 6.501914 7.429152 7.325783 7.075316 7.198759 7.573832 7.726879 8.173958 8.713857 8.947656 9.52945 9.495684 10.04432 9.70799 9.853218 10.34904 10.31011 10.33581 
+  9.458065 6.449831 5.764122 6.112749 6.633307 6.588135 7.683532 7.854395 7.497962 6.587214 7.522266 8.246718 7.842532 8.194103 8.769976 9.494311 9.410578 9.623136 9.262513 9.66307 9.958323 10.58842 10.94138 
+  9.336168 7.658177 6.552251 4.668932 5.951582 7.329723 6.881893 7.673193 8.018956 7.765876 8.092113 7.657069 8.385877 8.804426 8.99403 9.033966 9.84664 9.652982 9.678547 9.901299 10.55994 10.98264 10.42628 
+  8.845008 7.827737 6.934293 6.809871 7.603892 7.622493 7.295815 7.316114 7.707997 8.28838 7.455571 7.749361 8.357333 8.413839 8.780228 9.111949 8.773423 9.546294 9.316511 9.7621 9.853085 10.24652 10.58686 
+  9.845795 7.653487 6.760835 6.417203 6.483883 8.249362 8.985138 7.782502 8.038197 7.994664 7.512061 7.712332 8.276911 8.76414 8.027122 8.730929 8.986988 9.50342 9.225771 9.793655 10.35338 10.19652 10.67655 
+  8.068243 7.419188 7.323668 6.883723 7.588089 7.267737 7.464292 8.121238 7.117096 7.165044 7.638491 7.958453 8.368897 8.497821 8.06803 8.636445 9.186031 9.296571 9.991373 10.35782 10.44223 10.60756 10.9512 
+  8.540399 7.109134 6.417945 6.851756 7.50145 7.613665 7.395747 8.489678 7.192803 8.40198 8.48846 7.516579 8.291675 9.133558 8.94935 9.040503 9.475376 9.886353 10.04679 10.23742 10.22118 10.67988 10.29023 
+  9.943547 6.745187 7.141617 7.058182 7.203416 8.045156 7.670315 7.748672 7.009519 7.208478 7.261959 8.346151 8.425858 8.822375 8.973361 9.907825 9.710265 9.542497 9.383007 9.832958 10.30413 10.9831 10.99566 
+  9.077311 7.305787 7.036552 6.220779 6.492191 6.642952 8.301676 8.177285 7.706949 7.897906 7.814847 7.765959 8.228884 8.499186 8.701291 8.90225 9.000106 9.510703 9.477421 9.869934 10.31142 10.33504 10.62863 
+  9.609183 6.470312 6.850113 7.247727 6.606174 7.178535 7.569305 7.858948 7.907071 7.322339 7.393857 8.411836 8.555615 8.416198 8.268435 8.814535 9.016805 9.221167 8.856338 9.819329 10.63624 10.67038 10.4818 
+  8.896682 6.96038 7.062835 6.841669 6.556721 7.257597 9.19041 8.196911 7.560658 7.475944 7.570982 8.699837 8.718691 8.698103 9.604801 9.410757 9.482757 9.489608 10.0253 10.21278 10.42956 10.25078 10.40438 
+  10.05012 7.997848 8.523865 7.810099 7.064989 7.438704 8.866325 8.385101 8.702444 7.532755 6.970853 8.658536 8.904259 8.098039 8.240754 9.383977 9.924636 9.825594 10.16586 9.929379 10.33848 10.6166 10.88825 
+  9.945673 7.943526 8.236642 7.982066 7.059935 7.337771 8.282602 7.669298 6.812744 7.241785 7.059946 8.290605 8.874635 8.206081 9.037805 9.692253 9.771944 9.658941 9.887684 9.687504 10.12401 10.5467 10.46784 
+  9.24334 8.005972 8.029324 7.080775 6.692482 7.339699 6.330315 7.749064 7.191765 7.614157 7.584374 8.707373 8.633794 7.661246 8.89745 8.717183 8.727042 9.601094 9.761832 9.91165 10.89605 10.7561 10.4439 
+  9.008655 7.696863 8.051159 6.21505 6.986367 7.75211 7.125566 8.008561 8.631255 7.692895 7.423654 8.070612 7.934104 7.481667 7.878049 8.699003 9.587379 9.81943 9.638152 10.14519 10.48706 10.67093 10.95845 
+  9.56725 7.086317 7.604103 6.621353 6.861667 6.762026 7.150949 8.061196 7.548547 6.552682 7.445788 8.408651 8.276496 7.768121 8.235985 9.36837 9.303123 9.568222 9.907539 10.04948 10.3193 10.38864 11.01985 
+  9.435867 7.065077 8.260999 7.606821 7.11696 6.622849 7.453804 7.729028 6.969114 7.593372 8.076168 8.142076 7.987474 7.750668 8.709545 9.194512 9.28443 9.696207 10.08809 10.43397 10.95729 10.62421 10.32698 
+  7.326074 6.968657 7.991836 8.057238 8.277269 6.64677 8.417533 8.390658 7.716748 7.254366 8.046806 8.952176 8.943592 8.626341 8.475414 8.366508 9.379741 9.649915 9.956218 10.14107 10.0686 10.3009 10.63128 
+  8.867029 7.436584 8.325071 8.151552 7.802304 7.204567 7.817641 8.41904 8.079826 7.800119 7.738661 8.019406 8.496906 8.371117 8.895446 8.874495 9.541505 9.603241 9.702045 9.520963 10.07405 10.22188 10.69203 
+  7.892157 7.706676 8.708323 8.090714 7.298046 7.119635 7.677824 8.568966 9.065309 7.950867 7.361037 8.006032 7.704475 8.136228 9.241001 9.342211 9.766371 9.645364 10.53355 10.35027 10.26263 10.8308 10.88063 
+  9.17825 6.552885 7.865911 7.314655 7.429624 7.467305 7.331274 8.097523 8.513691 7.603092 8.123087 8.988563 8.24368 7.665757 8.043156 9.323641 9.559673 10.4114 10.44213 10.46176 10.31303 10.41219 10.04096 
+  9.499084 6.913695 8.680465 8.913202 7.983476 7.54614 8.20214 8.433187 7.619872 7.079637 7.59503 7.827682 8.021211 8.954014 8.512682 8.685501 9.039448 9.882102 10.09629 9.995301 10.25326 10.52707 10.41024 
+  8.841949 7.852749 8.220187 8.067208 6.958006 6.525739 7.606658 8.743006 8.618779 7.857424 7.85938 6.839745 8.494206 7.93556 8.554915 9.17892 9.411014 9.403722 9.75618 9.915223 10.4127 10.62058 10.75261 
+  8.80931 7.176473 8.226482 8.048065 6.875594 7.035853 8.159007 8.788584 7.998541 7.745961 7.02769 7.343524 8.768233 8.742394 8.993815 8.919962 8.948602 9.299537 9.644719 9.328181 10.0551 10.60812 10.26714 
+  8.416738 7.433433 8.202932 7.654713 7.487177 7.454067 7.807778 8.21654 7.973643 7.745943 7.477229 7.699207 8.724244 8.921854 9.167027 9.329788 9.198338 9.449234 9.350556 9.504007 10.01113 10.77754 10.79311 
+  7.265522 8.85788 8.794858 6.660202 5.630237 7.668158 8.690257 8.2572 7.200497 7.342714 7.748627 8.173976 8.632828 8.53996 9.053345 9.001765 9.227647 10.09744 9.63631 10.25264 9.908823 11.11253 11.10346 
+  8.641815 8.838676 8.314915 6.847168 5.620167 7.186635 8.486069 8.301935 7.863872 7.790708 7.733249 8.113005 8.49118 7.827488 8.389672 8.932463 9.147495 10.10519 10.22344 10.33928 10.09212 10.47646 10.13575 
+  7.634632 6.384978 8.24638 7.503924 6.99588 7.640463 7.480204 7.821477 7.610888 7.87086 8.010333 7.981211 7.871301 8.551961 8.90114 9.304276 8.653571 9.205483 9.727321 10.48769 10.20595 10.13756 10.41514 
+  8.518332 7.862745 8.034936 8.2016 6.675735 7.573159 8.171587 8.14386 7.991887 6.929758 7.718138 7.759238 8.233613 7.833398 9.010793 8.673923 9.241878 10.12235 10.55527 10.50808 10.58219 10.75335 10.4664 
+  8.728762 7.574676 6.733976 7.824086 8.000705 7.302856 7.860464 8.410678 7.924881 6.743472 7.201906 7.431501 7.915576 8.187505 8.869449 8.608752 9.654437 10.20065 9.895975 10.05015 10.0937 11.01951 10.82668 
+  7.629794 6.486794 6.295053 7.050656 7.523815 7.511558 8.234637 8.500476 8.005258 7.928689 8.219633 8.856939 8.562517 8.864034 9.246393 9.440809 9.380711 10.00752 9.569251 9.957119 10.54277 10.3938 10.80297 
+  9.755882 6.397912 7.59745 7.644662 7.147341 7.108955 8.413054 8.151018 7.909472 7.656272 9.413692 11.06461 10.69808 10.64652 11.38675 11.21603 11.1705 10.6691 9.91959 10.95611 11.29983 11.17031 10.97226 
+  9.474765 7.803607 8.385871 6.384162 7.948147 7.78756 8.428943 8.824086 8.393611 8.634716 8.208453 8.799019 9.028046 9.011028 9.807654 10.60488 10.43945 10.06425 10.27431 9.998198 11.03344 10.98869 10.06162 
+  8.450254 7.49551 6.799858 6.310681 7.20258 8.050933 8.205685 8.776224 7.973586 7.784925 7.730099 8.780946 9.105856 8.773993 8.182259 8.562423 9.90097 9.80205 10.24598 10.17385 10.20839 10.46425 10.26094 
+  8.252859 7.287729 7.475165 7.372538 6.989303 7.400277 6.899447 8.107825 7.968466 7.659332 8.521437 9.400009 9.208941 8.744918 8.120193 8.727738 9.995106 9.742892 9.950342 9.993467 10.03006 10.28127 10.45164 
+  8.592541 7.811454 7.721195 6.033926 7.451138 7.954978 7.936564 8.032441 8.207817 7.761642 7.824575 8.806037 8.584102 9.029242 9.405202 9.570443 10.0666 9.799012 10.14801 10.00847 10.26264 10.47974 10.30221 
+  8.263712 7.622368 7.388706 6.853238 7.028842 8.005108 7.877354 8.477866 8.796792 8.305426 8.403102 8.24081 8.906131 8.901518 9.546893 9.517485 9.934557 9.7798 10.04766 9.671112 10.1303 10.74265 10.63667 
+  9.357657 8.026215 7.907611 7.254067 6.912889 7.510985 8.215575 8.492505 8.151805 7.310562 8.163457 8.056206 8.009975 8.118791 8.972518 9.303927 9.412671 9.438314 9.8068 9.750667 10.35458 10.35285 10.09931 
+  8.511848 7.523149 8.195268 7.966453 7.744322 8.485562 8.004887 7.922952 8.245237 7.383193 7.844249 8.127041 8.127259 8.443523 8.102531 8.774108 8.681726 9.477551 8.882012 9.804171 10.55685 10.48077 10.37192 
+  7.975676 7.082146 7.933741 6.951503 6.272567 7.088233 7.917744 7.379583 8.238628 7.820266 8.475443 8.424726 8.05715 8.067741 8.94787 8.867351 9.374059 9.266661 9.49703 10.01138 10.3168 10.71612 10.27346 
+  8.813721 8.656951 7.681757 7.203363 7.488046 8.216457 8.221495 7.714307 7.938663 7.708951 8.019526 7.926672 7.864351 7.698409 8.801851 8.555806 9.788485 9.553381 9.62245 10.2158 9.915847 10.40117 10.80687 
+  6.477304 7.734454 8.373713 6.965827 8.077723 8.442548 7.893295 8.407219 7.909376 8.080144 8.55372 7.803288 6.868239 8.449481 8.860373 8.910608 9.437862 9.165442 9.82246 10.30201 10.48472 10.77984 11.18594 
+  9.42877 10.45913 10.29159 9.716755 9.220295 8.658374 6.794528 6.873018 7.217855 8.288869 8.809176 8.809996 8.093638 8.87556 9.207784 9.647738 9.825712 10.08347 9.918015 10.10553 10.54475 11.02415 10.92163 
+  13.23045 15.72255 15.14105 16.25381 15.65043 12.23466 10.81911 10.62931 10.80597 11.77175 12.40585 12.68368 13.26326 11.76209 10.96095 14.30546 15.08591 12.37251 12.23275 11.97119 10.67747 10.71765 10.87486 
+  13.65519 16.94076 16.0239 18.20588 16.9831 13.7648 12.16126 11.07043 11.80799 12.73412 12.98298 12.90398 14.25156 11.9087 10.24638 14.79149 15.7653 13.01829 12.92099 13.79269 11.3934 11.02932 11.13173 
+  13.2973 17.06046 16.08663 18.53358 17.69795 13.95008 12.40663 11.98961 12.74475 13.79677 14.19347 14.3372 14.89816 13.25463 12.57261 16.00417 16.9676 13.95466 13.9528 14.54457 12.07387 11.57656 11.49943 
+  11.75321 16.53652 16.49979 19.33843 18.63615 13.93179 11.64835 11.64008 12.97903 13.87796 14.90638 15.14878 15.24947 14.3757 13.73179 15.41584 15.93701 14.80291 14.12144 14.58253 12.19397 12.21274 12.09839 
+  12.51654 17.17333 16.62761 20.22687 19.77942 13.27525 11.65 12.57212 13.83558 14.21572 15.06257 15.13174 14.75701 15.54657 14.15343 15.183 16.24345 14.94379 14.57995 14.90003 12.3515 12.90885 12.08299 
+  12.59919 17.27024 16.59142 20.83065 20.46106 14.01313 12.53942 13.63936 14.82475 14.79233 15.39594 15.28064 15.61105 15.19362 13.62629 15.96059 17.22206 15.25036 15.57805 15.82821 13.8464 14.34314 12.32957 
+  12.87339 17.40207 16.69853 20.75185 20.27472 14.82241 13.57454 13.89783 14.86771 15.49655 15.69082 15.79947 15.61258 16.25987 14.84013 16.51847 18.01414 15.01476 15.3407 16.01681 14.13993 14.62834 12.70863 
+  13.17359 17.59177 16.96258 19.95944 18.9106 15.22701 13.8382 13.31798 14.14737 14.76138 15.86723 16.08653 15.98195 16.09414 14.82789 16.4943 17.65386 15.15134 15.58843 16.19427 14.51803 15.25478 14.10639 
+  13.61701 17.7865 17.24287 20.31397 19.26783 15.3012 14.27533 14.00652 14.06157 13.97732 15.41972 16.40127 16.03523 14.89164 14.54936 15.81458 16.71577 14.59401 15.69445 17.08231 15.19946 15.35905 13.67907 
+  14.00184 17.83053 17.10755 20.32385 19.31859 16.05173 14.2608 13.70262 13.87365 13.57939 14.82414 15.85239 16.70191 15.73202 13.95968 14.90556 15.42773 15.31231 15.90333 16.87693 15.50014 15.44649 13.9608 
+  14.57378 17.84243 16.76657 19.45782 18.36666 15.36792 13.44019 13.72313 14.92875 14.36976 14.25026 15.64569 15.89312 14.45428 13.3161 14.53451 15.62068 14.59393 15.80624 17.03548 14.96751 15.02374 13.4909 
+  15.21447 18.18304 16.96745 19.16579 18.69295 14.50879 13.17371 13.65467 15.22889 14.17074 13.75207 14.95903 15.48484 14.01785 11.96252 13.67882 15.37274 14.30946 15.06645 16.43822 14.03593 14.029 12.96432 
+  15.69557 18.73573 17.84295 20.32482 19.18899 14.03427 12.50394 12.18307 15.27329 13.74666 13.09154 14.42644 14.96374 13.87214 11.83368 12.93985 14.45116 14.00281 15.06362 16.09592 13.61044 13.31885 12.74485 
+  15.98183 18.61076 17.23318 18.58419 17.75739 14.66514 11.80884 13.04507 15.05399 13.23005 12.31126 13.64777 13.9603 12.94314 11.54242 12.23427 13.46654 13.42021 14.35025 15.38576 13.45529 13.28467 13.43179 
+  16.36983 18.49153 17.46072 19.55406 17.8304 14.26844 11.65388 12.54786 13.89278 12.02204 11.70842 12.86929 13.92763 13.19448 11.47678 11.02568 13.00155 13.05625 13.99241 14.93269 13.36193 12.62123 11.25201 
+  16.91053 19.31395 17.91098 18.89643 16.86432 13.72694 11.87185 13.24254 14.00205 12.05257 10.76908 12.87949 13.28356 11.94633 11.05437 11.12533 12.75738 12.05501 13.33129 14.07069 12.3796 11.7192 11.05169 
+  17.29174 19.6846 17.73157 17.35478 16.16297 14.15115 11.11073 12.40668 13.28362 11.18836 11.07174 12.54022 13.02938 11.88706 10.44743 11.13548 12.77041 12.04656 12.83903 12.8876 11.77514 11.40439 10.56045 
+  17.23432 19.42053 17.20756 16.95235 16.25754 13.89139 11.49117 11.78105 11.14721 10.20588 10.31909 12.48863 12.60464 11.83299 12.36004 11.31453 12.29337 12.36164 12.43958 12.93882 11.9782 12.27852 11.67843 
+  16.53074 18.71063 16.51751 16.94945 16.05041 12.74791 10.03071 10.72647 10.99932 9.982744 10.96635 12.68731 12.83623 11.30921 11.54913 10.90253 11.23106 11.50233 12.71762 13.18253 11.76622 12.38223 11.70104 
+  15.69217 17.89815 15.7483 14.97377 14.53612 11.96516 11.12983 9.131196 10.96767 10.9673 12.05442 12.21859 12.5895 10.55106 10.79283 10.54876 11.01498 10.7606 11.54235 11.51353 10.85205 11.89782 11.11372 
+  13.86923 16.57632 15.26331 14.85788 14.39067 12.7171 11.17243 11.00468 11.68423 13.25407 12.60769 12.59903 12.12048 12.90249 13.94144 13.63238 13.21792 12.05534 12.87838 14.90839 15.73015 16.02667 15.69104 
+  13.61382 16.34682 14.90382 14.8893 14.40084 13.49422 12.6097 13.05071 13.73629 15.75304 15.30508 13.85447 13.98672 15.82224 16.32998 16.46949 16.51073 13.91432 14.74784 17.0687 18.13454 18.42613 18.47258 
+  14.55605 16.97081 15.03501 15.3369 14.16967 11.95557 10.91977 11.08843 11.75058 13.24282 12.85878 12.96099 13.28478 15.59657 14.72278 15.30267 15.28392 13.16171 14.36229 17.22016 18.41889 19.45104 19.20117 
+  15.47327 17.72926 15.78447 15.42446 15.40768 12.5729 10.11994 10.89366 12.10496 13.59284 13.03747 13.40623 12.94038 16.30528 16.32386 14.95233 14.70298 13.22234 14.0664 16.60508 17.89858 18.17508 18.00281 
+  16.2211 18.26995 17.28866 17.57735 15.27353 13.3695 11.53266 11.68451 11.35421 11.92297 12.33619 13.06362 12.45224 15.49412 16.06547 15.92675 15.58576 12.58488 13.5124 15.40464 16.18043 15.33247 15.62229 
+  16.40175 18.42591 17.84651 18.44906 15.41768 13.78307 12.2946 12.64999 11.22093 11.41927 11.63084 10.93246 11.98123 14.54343 16.20716 16.31189 15.47426 12.76656 13.13507 15.26896 15.09722 14.0725 14.46431 
+  16.6757 18.54147 17.61383 18.17967 15.46035 13.83175 11.8658 12.33601 11.13389 11.20397 11.12461 11.22868 12.22488 13.94469 15.89769 16.34622 15.46319 12.74337 14.20451 15.74678 15.10971 14.52905 14.4963 
+  16.76283 18.5887 17.68788 18.20937 15.80549 13.99685 12.14814 12.54838 10.8432 11.06379 11.41749 11.17507 11.48255 12.85203 14.78319 16.05849 16.08326 13.06919 13.94136 15.39909 14.80749 14.61425 14.66702 
+  16.64995 18.30085 17.58634 18.3342 16.15151 14.58886 11.89366 12.30556 11.47828 11.79887 11.09667 11.30176 11.16868 14.35984 14.87677 16.13587 16.49911 13.06481 14.12372 15.51614 15.46192 15.01677 14.90916 
+  16.52672 18.18384 17.63734 18.262 16.74109 15.33377 12.32343 12.43404 12.25445 12.18885 12.2143 11.90199 11.90509 14.61265 15.28587 16.9969 17.03483 13.91487 14.51653 15.79068 15.46326 15.15117 14.32447 
+  16.60033 18.01448 17.0511 17.71783 17.75788 16.23282 12.81127 12.78385 12.44913 12.3739 12.64835 12.44617 11.88231 14.26506 14.75798 16.41036 16.44767 13.79646 14.08188 15.74754 15.21961 14.5229 14.27368 
+  16.58554 18.17001 15.6192 15.79108 17.83907 16.49691 13.58467 13.87136 13.15251 15.34053 15.64338 14.75528 12.38052 13.428 14.05307 15.71102 16.18547 13.51842 13.2032 15.82146 15.4119 15.28212 14.9756 
+  16.81706 18.37561 15.55623 15.33322 17.88172 16.29072 14.11057 14.21804 13.08518 13.69146 14.14797 14.73615 13.03893 13.11906 14.03352 14.95837 16.48228 13.51765 14.07395 15.32152 14.80149 14.38036 14.81253 
+  16.95721 18.65568 15.88247 14.83851 17.85907 16.19847 14.35859 14.35917 13.97949 13.80073 14.48404 15.46158 12.86709 12.57524 13.31753 13.57888 14.20235 13.62078 13.80603 14.58132 14.26628 15.57101 15.81091 
+  16.92929 18.59748 16.18815 16.21428 17.81978 16.08954 14.27445 14.10925 13.96899 14.1386 14.35728 14.62649 12.22072 11.41585 11.79407 12.69996 13.94304 14.1476 14.00437 14.08617 14.21517 16.62167 16.08522 
+  16.71347 18.34732 16.52386 16.70664 17.32837 15.66043 14.25163 14.13859 14.01087 14.8577 14.49389 14.02374 12.22193 12.02307 12.09513 12.59532 14.0639 13.72341 13.91703 14.04354 14.41245 16.46469 16.29546 
+  16.4208 18.01264 16.88099 17.1442 16.57642 14.64041 13.85327 13.94551 14.64954 14.75776 14.21291 14.0806 12.50921 12.25238 11.75339 12.30866 14.22572 14.74261 14.3222 14.56139 14.66986 16.32808 16.07767 
+  16.02585 17.41488 16.75061 17.14062 15.60216 13.43982 13.3218 13.5059 15.12315 15.74747 15.12732 14.97423 11.94713 11.64201 11.86428 12.81159 14.43116 14.51448 14.0855 13.91175 13.53605 16.79836 16.27676 
+  15.54676 16.81251 16.59787 16.86721 13.93739 12.5265 13.02697 13.58001 14.63541 15.0335 15.03953 14.87171 11.96232 11.17344 11.23595 12.35256 13.94297 14.62026 14.15592 14.0969 13.14401 15.85678 16.06257 
+  15.29335 16.5896 16.2428 16.40902 13.19328 11.96381 13.15584 13.4573 13.83275 14.18077 14.74952 13.4333 11.54537 11.45848 11.20981 11.44254 13.91985 14.09482 13.83819 13.72444 12.47239 15.62782 15.47463 
+  15.03695 16.41206 15.76506 15.74993 14.99031 12.53887 14.11596 13.88085 13.56149 13.86856 14.16082 13.18733 10.81969 11.83342 11.28586 11.12295 13.29487 13.72911 13.43846 13.1814 11.87428 13.31521 14.49123 
+  15.19216 16.60078 14.61114 14.46758 15.01078 13.24106 14.01335 13.57776 12.27156 13.13906 14.44345 13.87597 11.4695 11.93211 11.51881 11.86933 13.54847 13.27814 13.21632 13.90559 14.1398 14.70719 14.13614 
+  14.67921 16.36944 14.31438 14.29885 14.20024 12.58013 12.82334 12.93028 12.20578 13.60437 14.77291 14.12951 12.00097 12.08059 12.8358 12.58611 13.60779 13.56823 13.54014 15.80377 16.93598 17.07594 16.38759 
+  14.09909 15.53763 14.35333 14.36311 13.46532 12.24172 11.28518 11.79358 12.87418 12.31148 14.00558 14.61462 12.33662 12.94618 13.78474 13.02037 13.37858 14.04721 15.38267 18.08268 19.1378 18.01291 17.87174 
+  13.13866 14.28506 13.46247 13.33514 12.55707 11.26553 10.44495 10.7674 12.86463 12.67321 13.31184 12.77522 11.95182 13.00975 13.90651 13.2495 14.2042 14.69992 15.82987 18.51886 19.10749 19.2898 19.35597 
+  12.87447 13.63893 12.77628 12.87282 11.82412 10.49559 11.2738 11.53943 12.46402 13.76956 13.33128 13.70105 13.19503 13.69975 14.5716 14.70375 14.28935 14.60292 15.83705 18.41346 19.52948 19.5496 19.50181 
+  12.43892 14.00917 11.94452 12.23295 13.09062 11.04633 10.81847 11.03293 12.85549 13.9011 14.34009 14.35291 13.72982 13.88251 14.83228 14.69408 14.73889 15.0092 16.64098 19.92425 20.72796 20.62129 20.78949 
+  12.57589 14.14755 12.76697 12.63588 12.86826 10.93601 10.81407 11.39892 13.70268 15.24565 15.25113 15.90769 15.04436 13.95307 14.30912 15.37132 15.7328 15.43253 17.88644 20.36236 20.81531 21.52759 20.81256 
+  11.55697 13.42533 11.86985 12.06834 12.89067 12.34525 12.49656 12.66325 13.77704 15.66433 16.10908 16.22246 15.24011 14.59829 15.35136 15.66786 15.75713 15.76261 17.19726 20.20177 20.41369 21.18811 20.27664 
+  11.83781 11.78476 10.88169 12.16515 12.8652 12.27359 12.28256 13.37679 14.12796 16.37236 16.86594 16.74899 13.97586 14.41109 15.27517 15.25704 16.5749 15.36801 16.12666 18.94821 19.08416 20.14678 19.19424 
+  11.29138 12.42908 11.55172 11.38864 12.08098 11.84389 12.93314 13.31962 14.90897 16.77657 16.34854 15.3447 13.96065 14.13565 14.2487 14.35624 16.70179 14.96482 14.82867 17.15551 17.93615 17.96055 17.92477 
+  11.65481 13.19278 11.53873 12.37848 11.75132 12.30172 13.64941 13.70718 15.32799 15.79656 16.56388 15.52489 14.06691 13.22153 13.50002 13.39991 15.37756 14.06801 14.822 16.09739 16.44575 16.48426 16.86766 
+  10.83643 12.90215 11.20963 11.4503 12.48443 12.65709 14.0135 14.90167 14.40853 15.14135 14.69142 14.34933 13.56003 13.23642 13.07663 13.29242 14.56171 13.91872 14.96106 16.0597 15.73718 16.22322 16.35061 
+  11.76764 14.94607 14.002 12.59242 13.17363 12.93256 14.04444 14.95929 14.73403 14.32073 13.673 13.46165 12.49231 11.98037 12.40751 12.22861 14.2252 13.65674 14.01322 15.1333 14.95369 15.47503 16.08985 
+  13.89615 16.76128 15.37205 14.68637 14.55084 14.06249 14.60906 15.02118 14.96586 14.17659 13.32582 13.36398 12.40657 11.75675 12.20584 11.6482 13.49479 13.45353 13.88642 14.68982 14.64923 14.41646 14.38884 
+  14.84046 17.53472 16.00968 16.66092 14.74903 14.52959 14.44483 14.51026 14.96541 13.62469 12.74818 12.63656 11.79429 10.7945 10.28362 10.71255 12.82129 13.17442 13.48379 14.43379 14.1143 13.92664 13.57136 
+  15.24041 17.86895 16.36832 17.24933 15.26022 14.57038 14.41827 14.01725 15.12896 14.63774 13.50198 13.16672 10.8975 10.52911 10.55219 10.53394 12.4472 12.95718 13.381 14.41105 14.18102 13.43132 13.21059 
+  15.70714 18.11394 16.63966 17.54475 15.6258 14.62249 13.44291 14.33535 15.30156 14.73038 12.71182 11.88729 11.21848 11.80892 11.28598 11.00321 12.07642 12.61302 12.96624 13.64967 13.5497 13.66227 15.18429 
+  16.24144 18.45406 16.74632 17.26887 16.00562 15.20356 14.67932 14.5265 15.42036 15.9411 12.72794 11.28165 11.22411 11.92239 11.05458 10.47411 11.84302 12.45643 12.32757 13.31341 13.65614 14.01642 15.6444 
+  16.61691 18.75608 16.65908 16.05809 16.49335 15.44349 14.24317 13.74861 15.73102 16.03167 12.45979 11.43863 12.06159 11.43628 11.58031 10.96982 12.73052 13.25921 12.43133 13.44257 13.17499 13.61122 15.05092 
+  16.80972 18.82384 16.56598 15.89633 16.39415 14.86858 13.51579 13.62421 15.78119 15.96636 12.04702 12.23535 12.08618 11.75746 11.64274 11.03938 12.40111 12.2805 12.29179 13.94364 13.40477 14.06813 15.88864 
+  16.63538 18.58344 16.62993 16.47061 16.84248 15.18759 14.40616 13.94959 15.81456 15.56275 13.3875 12.99495 11.75405 11.29325 11.58946 10.95365 11.4328 12.09967 12.70522 13.64252 13.03335 14.81887 16.09799 
+  16.17998 17.74599 16.20119 16.20937 17.15302 15.38168 15.02195 14.70119 15.58851 15.20672 13.59827 13.00949 12.00444 11.9139 12.20626 11.42136 12.15257 13.27923 12.24949 13.81115 13.19789 14.65822 15.93385 
+  15.63498 16.83412 15.9795 16.01633 16.73568 14.96041 15.20592 14.9941 15.25987 15.44159 13.90219 13.12603 12.1955 12.00728 11.73402 11.36467 12.2128 13.21522 12.46231 13.59565 12.94152 14.60943 15.73831 
+  15.64667 16.88672 16.15878 16.30288 14.82288 12.78746 14.38334 14.24222 15.33887 15.6051 14.19205 13.4702 11.48957 11.67185 11.36558 11.50844 11.67504 12.6779 12.27801 13.62284 12.4663 13.766 14.50554 
+  16.1116 17.70094 16.61898 16.63179 14.50537 13.00403 14.49458 14.1091 14.77081 16.03117 14.69265 13.87188 11.65564 11.77306 11.69971 10.80465 11.53343 12.87404 11.97025 13.6426 11.97943 14.26168 15.0657 
+  16.30089 17.96895 16.63384 16.78599 15.04495 13.30599 14.34233 14.00725 14.74239 15.8376 14.84421 13.98984 11.77159 11.99564 11.91329 11.26901 12.10066 14.10714 12.30086 12.97296 11.96393 13.5807 13.9249 
+  16.11331 17.73792 16.50445 16.31737 15.14762 13.18915 13.33717 13.48801 15.0379 14.98231 14.6054 13.371 10.87303 10.89191 11.57216 11.3191 12.55595 13.71982 12.37777 13.36162 12.34734 12.24435 12.79598 
+  15.58554 16.86545 15.76826 16.14976 14.84043 12.69869 13.17145 12.83138 13.56788 13.88323 12.82279 11.39667 10.49319 10.13156 10.41932 9.690503 11.98269 12.59705 11.74903 12.81073 11.81398 12.05253 12.92546 
+  15.40506 16.56629 15.7819 16.15461 15.12686 13.06547 13.38418 13.28866 11.46526 12.2537 12.2489 12.08193 10.35587 10.30065 10.11564 10.48493 11.5637 11.96607 11.58659 11.82748 10.88299 11.80397 12.83247 
+  15.64443 17.13461 15.25182 15.23267 14.96755 12.78958 12.95011 12.96703 12.13067 12.01262 11.68263 11.51331 10.19018 10.40131 10.45652 9.893003 10.72811 11.31659 10.82685 11.00283 10.72475 11.77716 12.83387 
+  15.71785 17.45413 15.5854 15.01698 14.3412 11.71642 10.96577 11.03219 11.98035 12.71681 11.61681 10.26505 9.601998 11.02885 11.42186 10.48678 11.01715 11.48228 11.22338 11.53144 10.79359 11.5774 11.99054 
+  15.35344 17.22778 14.87986 13.97491 13.06646 10.3242 10.27509 10.32014 10.23042 10.61678 9.737593 10.01495 9.896219 9.359041 9.507567 9.67006 10.14279 10.65076 10.4929 10.57693 10.33899 11.15093 10.91731 
+  14.73678 16.47514 14.2816 13.68988 13.41362 11.12034 10.6353 10.23782 10.21636 10.79559 10.0661 10.10203 9.259908 9.090837 9.185848 9.923974 9.884459 10.10081 10.24038 10.84077 10.28913 10.66675 10.87501 
+  13.34543 15.10439 13.62741 13.43057 13.13955 11.26525 10.73161 10.48361 8.931073 10.65594 10.13154 10.01275 7.661518 8.794694 8.97205 9.528334 9.832764 10.47726 10.19211 10.24871 10.08061 10.30916 10.30075 
+  10.66386 12.08491 13.25964 13.39106 12.19863 10.12935 11.24597 11.23391 9.032432 10.34383 9.701096 9.622985 8.836775 8.976686 8.384194 8.839561 9.518727 10.43447 10.18111 9.936262 10.31167 10.56191 10.62938 
+  9.864835 11.36032 12.31589 12.7327 11.80678 10.03503 10.97492 10.7874 9.752045 8.775429 8.095765 8.616365 8.481807 8.58884 9.057997 9.505718 10.19115 10.05057 10.04556 10.14044 10.41077 10.46338 10.77466 
+  8.924618 11.12906 12.26638 12.40822 11.61309 9.230251 10.80107 10.44947 9.52743 9.636349 8.786553 9.209707 8.387288 8.182937 8.243385 9.326593 9.774284 10.1685 10.02218 10.17269 10.70011 10.49688 10.61065 
+  10.46031 12.47213 11.88194 11.74302 11.8674 10.72511 11.42089 11.52294 12.66962 13.42245 12.90012 11.16923 10.26218 10.81529 10.76803 10.16122 9.826 9.915348 9.86139 10.30795 11.00059 11.42232 11.84945 
+  12.26625 14.16075 12.72903 14.60278 14.37007 13.44235 12.87462 13.86045 15.57594 16.44231 16.44123 15.36868 13.77279 15.25738 15.21306 14.52211 13.27622 12.97607 12.30169 14.6017 16.36056 17.2046 17.79084 
+  12.88817 14.4487 12.22028 13.27812 13.9757 13.02691 12.24403 13.3259 14.29199 15.57484 15.93701 16.14005 13.74489 14.87244 15.91617 16.46932 15.27049 13.81515 13.83679 16.70215 18.24577 19.36378 19.67374 
+  12.00124 15.37659 15.7605 14.22926 13.0174 13.10144 11.59302 12.30477 13.87144 16.48501 16.24954 14.65436 13.44942 13.95702 15.1756 15.80813 15.05493 13.84618 12.97811 14.7254 15.89062 17.37466 17.80906 
+  11.40193 16.41908 17.10656 18.07596 18.44994 14.86982 11.46446 13.08391 15.70103 16.6888 15.61081 14.1348 12.79728 13.32965 13.90944 13.99649 13.78145 12.89573 11.9253 13.4449 14.24946 14.72222 15.25539 
+  11.44434 16.72986 17.13328 18.86685 20.06189 16.01924 13.17847 12.7762 17.20245 16.84163 15.03655 13.80424 11.7222 13.07261 13.83397 13.96507 13.21282 12.76647 11.96956 12.39547 12.90304 13.23651 13.36372 
+  10.10038 17.35346 17.76299 18.8912 20.46964 16.98438 14.85764 12.72846 16.86143 16.67736 14.81743 13.0213 12.2606 12.59028 13.18198 14.63323 13.8833 13.29084 11.56619 12.33959 12.88427 13.18531 13.93617 
+  11.39528 17.46929 17.92314 19.14353 20.62991 16.99307 15.65434 13.20797 15.76896 15.81176 13.97282 12.77619 11.2707 11.88343 12.92847 13.32276 13.7076 13.56002 11.07274 11.85992 12.23533 13.28798 15.04418 
+  11.27983 17.707 18.24305 19.08735 20.56552 17.11422 16.33149 13.43726 14.52213 14.48029 13.66881 12.0331 11.1849 10.85902 12.006 12.63326 13.76072 13.75976 11.0928 11.39149 11.49694 13.85464 15.78272 
+  10.4093 17.90809 18.4453 18.32235 20.13852 17.31362 17.00359 13.08082 13.30086 13.77682 13.61921 11.83928 11.08163 10.67048 11.6871 11.93983 13.32355 13.21966 11.60241 12.79556 10.68321 13.65361 15.63675 
+  11.84527 18.06657 18.71371 18.15455 20.01794 17.42912 17.4063 13.26461 13.40163 13.82001 13.56594 12.01353 11.27739 11.76238 11.80556 12.06823 13.41709 13.49274 11.33103 12.29501 11.13933 13.40397 15.07014 
+  11.17124 18.38477 19.04682 18.43799 20.28102 17.52682 17.30856 12.02493 13.38366 14.0256 12.96288 11.21294 11.00717 11.76898 11.5427 11.69634 12.18315 13.27228 12.24852 12.80867 11.54512 13.54795 14.91226 
+  11.79911 18.40328 19.16708 18.38249 20.19378 17.33193 16.52722 12.74763 13.76983 14.43673 13.70339 10.60393 10.94744 11.23283 11.7214 10.93908 12.70267 13.61965 12.34297 12.93185 11.72894 13.06544 14.49717 
+  11.53892 18.40511 19.1988 17.54394 19.24091 16.508 15.51558 11.58755 12.57494 12.96985 12.25272 10.15904 10.6575 10.79901 10.68679 10.70864 12.52 13.14616 11.88523 13.06559 11.90712 13.5841 14.07163 
+  11.24507 18.51727 19.28405 15.55707 16.47013 15.3894 15.69263 12.4398 12.47237 12.42525 11.96187 10.67544 11.41625 11.04646 10.61635 10.52443 12.70697 13.38649 11.35408 12.26194 11.28505 13.45126 13.82557 
+  11.66839 18.54571 19.34097 15.28023 16.99143 15.16772 15.61421 11.90284 12.48574 13.0267 11.92334 10.24209 11.53736 11.04919 10.13369 10.87534 12.32853 13.07113 11.1777 12.35379 11.42702 13.24903 13.47682 
+  11.33042 18.52498 19.28227 15.3864 16.97915 14.79772 15.07273 11.31091 12.86657 13.35474 11.33974 9.940867 11.48389 10.81812 9.995729 10.97024 12.09934 12.44435 10.87501 12.38766 11.07067 13.29669 13.62211 
+  11.3056 18.38368 19.13547 14.39207 16.36372 14.8709 14.99244 11.87787 12.69045 13.26806 11.46194 8.540175 10.51303 10.84584 10.27139 10.64636 11.47711 11.95679 10.57964 11.26044 10.76696 12.47983 12.5918 
+  11.55642 18.09599 18.73145 15.37899 17.526 15.3725 15.14406 11.61225 12.45738 12.59422 10.7795 8.732772 9.834822 10.28893 9.671982 10.17871 10.94767 11.20057 10.26523 10.61838 10.52447 10.65674 11.38504 
+  10.35312 17.61216 18.04445 15.89868 17.93677 15.43736 14.92465 10.95503 10.74119 11.10365 10.10367 8.769894 9.549344 9.448477 10.16095 9.991289 10.12919 10.67581 10.30081 10.2757 10.61878 11.08467 11.66054 
+  10.57029 16.80257 17.43232 15.33712 17.40169 14.69754 13.7979 10.32226 10.54766 10.62139 9.538151 8.558439 8.763721 9.43328 9.823753 9.941569 10.20876 10.29988 9.839418 10.4947 10.67628 10.63656 11.36743 
+  10.88069 16.40481 16.94452 14.63999 16.55998 13.75831 12.04815 10.07983 9.779847 9.41483 9.367539 8.638872 7.551649 8.591156 9.22356 9.253392 9.312204 10.12255 9.771526 10.66726 10.28885 10.70903 10.99041 
+  10.68995 15.9614 16.66981 12.87561 15.32809 13.38852 13.34967 10.08965 9.267484 8.510974 8.937634 8.066225 7.492024 8.559677 9.379137 8.934621 9.395594 9.947574 9.762503 10.16802 10.52471 10.62313 10.52163 
+  10.10682 15.73363 16.55744 12.98704 15.02876 13.22308 13.64594 9.306398 8.513678 8.840482 8.639846 8.813548 8.690471 9.372956 9.21609 9.271674 10.22423 10.17199 9.91317 10.44354 10.81481 10.71306 10.58567 
+  10.53498 15.85452 16.48894 13.69206 15.73015 14.98417 13.35866 12.12415 12.66079 12.8636 12.57128 11.65822 10.42173 9.932479 10.30401 10.88577 10.69672 11.60742 10.67614 10.5448 11.20179 12.58635 13.41792 
+  10.96499 15.49205 16.39072 14.58421 16.09194 14.12068 12.85947 10.9668 11.6846 11.61401 11.32033 10.1519 9.595464 9.126978 9.282423 9.871722 10.47498 11.93141 10.77083 10.79808 10.82797 12.26179 13.4949 
+  10.02513 14.95054 15.62905 12.19269 13.6047 13.04639 12.49895 9.641859 10.20514 10.12763 9.829097 9.059594 8.440591 8.796917 9.133607 9.019018 10.19306 11.17522 10.55359 10.32446 10.81375 11.08818 12.5863 
+  9.422004 14.69329 15.27407 12.65151 13.94985 12.99975 11.70039 9.886936 9.611949 10.09684 9.314202 9.766679 9.321723 8.8813 8.354034 8.528647 9.770875 10.59045 9.79849 10.28119 10.74567 10.74199 12.01325 
+  11.32263 15.05788 15.25787 15.88041 15.08022 14.13194 12.75217 11.34698 9.656963 9.717936 9.331264 8.585823 9.124638 8.87212 8.442982 8.890512 9.943332 10.48704 10.23122 10.30991 10.68609 11.49976 11.52623 
+  13.40004 15.62923 17.28662 19.34645 17.7522 14.88166 15.30356 13.29276 11.17599 10.1756 8.496209 8.687905 8.767036 7.138587 7.905816 9.155358 9.870092 11.34072 10.64145 10.56284 10.93426 11.27267 11.83103 
+  14.40832 16.92628 18.28235 19.92572 17.42484 16.51931 17.17439 13.85876 11.32172 10.88191 9.843261 8.557543 8.702249 8.43864 8.905317 9.214272 10.79284 11.19663 10.4797 10.33966 11.11496 11.59549 12.62567 
+  15.07293 17.23655 18.7453 20.03891 18.20394 17.32358 16.8287 15.43667 13.0998 12.50691 10.92344 10.46035 9.055417 9.849059 9.764614 11.06528 13.47688 13.99895 12.79779 12.12013 14.56175 14.29823 14.93593 
+  15.40606 17.37957 18.26671 19.24368 19.16639 17.99058 16.59817 14.71303 12.86606 12.04343 11.7385 9.705905 9.335643 9.112566 9.626029 10.41576 13.39695 13.71364 12.28225 11.58019 13.76471 13.65422 14.2695 
+  15.64262 17.64327 17.19793 17.43849 19.78349 18.46711 16.14888 16.3467 13.90007 12.84516 12.72527 10.46768 9.428706 9.794108 10.62751 11.56921 13.06464 12.97483 12.06074 12.42412 15.20449 15.17994 15.41442 
+  15.52258 17.33565 17.81485 18.67915 20.30933 18.47157 16.206 16.37829 16.18498 14.41841 13.32267 11.18768 9.268024 10.2243 10.31914 12.25662 14.13956 13.31647 12.61077 13.04033 15.24885 15.47131 15.91226 
+  14.72044 16.24851 17.39948 18.02982 19.91796 18.15676 16.86558 16.89674 18.34361 15.89882 13.7806 11.83443 10.31598 9.947871 10.88693 13.04681 14.78731 14.09249 13.07614 13.30486 14.96555 15.89365 16.21339 
+  12.94438 14.262 17.79223 17.94734 18.41548 17.99884 16.59502 17.46818 19.89834 17.3267 14.68132 12.74071 10.74997 11.11081 11.97623 14.37372 15.06054 13.62777 12.74747 14.17785 13.22865 15.07573 15.67369 
+  11.9413 14.24815 17.19899 17.78853 19.11386 17.95886 17.36403 17.78174 19.56396 18.41936 15.83994 13.5232 11.30285 11.13494 12.42168 14.83165 15.21284 13.93472 14.22501 15.48852 14.69647 14.61711 15.37134 
+  13.80032 15.34109 17.01766 17.4297 17.96654 17.89771 17.45484 16.8976 18.80153 19.64696 17.77114 13.78843 12.49898 11.85447 13.19477 15.72658 16.27253 14.45719 14.41123 16.36125 15.85711 15.05885 15.80895 
+  14.42734 15.95719 16.8165 17.40023 17.72437 18.32386 18.0716 16.22936 18.2776 19.88119 18.43486 14.89068 13.09634 12.62326 14.15393 16.27906 16.78207 14.59756 14.30995 16.8557 16.74701 13.89337 15.01136 
+  13.1981 15.42621 17.47243 17.46376 16.60345 17.87163 18.14639 15.80742 17.8999 18.86058 18.78569 15.2696 12.82393 12.26846 14.426 16.64136 16.84205 14.60646 14.58007 16.73913 16.8489 13.78548 15.02061 
+  14.53758 16.3012 17.77195 17.30224 18.26668 17.24618 16.88194 15.98161 16.4734 18.86712 18.13484 16.05925 12.78708 12.62607 14.48131 16.29807 16.06342 14.38513 14.33487 16.47281 16.5306 13.28973 14.15116 
+  13.29329 15.40082 17.00095 16.67248 17.51397 17.87264 17.22511 15.87745 16.17892 17.66627 18.2972 16.80437 14.20589 12.99962 14.83743 16.62644 15.83631 14.91555 14.99209 17.03086 17.57478 15.26948 15.94518 
+  12.60118 14.90419 15.67589 16.70849 16.94395 16.61985 16.03358 15.05487 15.99355 17.37237 17.7354 17.29265 14.00175 12.25772 14.06873 15.4484 15.89154 14.37778 13.64605 15.54983 15.959 14.05933 14.62753 
+  13.46687 15.90945 16.95177 16.9344 16.38556 16.47206 16.12689 15.33399 16.03906 17.06773 16.99802 17.40662 13.44633 12.45146 13.97935 15.02217 15.57034 14.04656 14.18954 15.08655 15.59686 13.81427 14.97765 
+  13.90775 15.34541 16.23319 17.18387 17.43214 17.35052 16.137 15.33103 15.5793 15.9622 16.35075 16.71717 13.52683 12.29098 13.29745 15.11607 15.76651 13.92764 14.35643 15.45294 15.56918 14.29957 14.75815 
+  12.64945 15.05234 16.66335 17.67402 17.42719 17.03349 15.29472 13.20675 14.79218 16.15494 16.06722 15.88496 14.37258 12.09099 13.10366 14.55416 15.20259 14.15096 14.36049 15.3579 14.84148 14.77236 15.21402 
+  13.63886 15.13448 17.12833 17.25077 17.57319 16.51949 14.79358 14.33071 15.40003 15.31295 14.707 15.51841 15.19862 12.16728 12.38076 13.97288 15.01122 13.84911 14.36896 15.99493 15.19653 15.71203 15.79622 
+  14.08951 15.27791 16.67466 17.38719 17.48137 15.49804 14.64399 13.99431 14.06412 14.96719 14.45313 15.07616 15.22869 11.85608 11.80214 13.4829 14.47193 13.28767 13.82474 15.54498 14.68076 15.78218 15.55037 
+  13.55869 15.54187 15.30116 16.07854 15.19114 14.89549 14.28598 13.40435 12.58551 12.71723 13.51417 14.44852 13.74717 11.34321 11.73631 12.8637 13.46484 12.86962 13.4271 14.9927 16.06477 17.438 17.00769 
+  14.03767 15.96629 15.7353 15.65322 14.90481 14.81491 13.83562 13.2442 12.39499 12.31491 12.90394 14.30139 13.67956 10.38161 11.00745 11.82061 12.68529 12.26423 13.03794 13.27276 13.62125 14.79159 14.69412 
+  14.69835 16.23426 15.85394 14.956 15.55784 15.1201 13.12001 11.77338 12.35275 13.03831 12.70205 13.89809 13.49535 10.74578 10.39047 11.01446 12.48515 11.93507 12.14398 12.33028 12.54093 12.23906 11.828 
+  13.74119 15.01042 14.63525 14.21064 15.04048 14.53166 13.30235 11.51442 11.54563 12.75932 12.87387 12.97661 12.22388 9.737226 8.855085 10.95898 12.41875 11.5811 11.65182 12.16752 11.78344 11.6825 11.58462 
+  13.79247 14.65056 14.39971 14.56042 14.50872 14.48325 12.4725 11.32357 11.69767 11.76651 11.72759 11.75854 11.63687 9.03346 8.632442 10.05544 11.80099 11.283 11.6399 11.7433 11.51521 11.30795 11.44739 
+  12.4817 13.96644 14.94901 14.22443 14.7217 14.6918 12.00653 11.63244 11.49402 12.39865 11.62017 11.95335 10.76735 9.714913 9.972126 10.44865 11.5843 10.77267 11.39896 11.29488 11.80279 12.45774 12.97729 
+  10.99601 12.48925 13.91558 13.39563 12.76022 12.97499 10.67527 11.2872 11.05415 11.66541 11.35227 12.07333 10.91728 8.470509 9.390297 9.98071 10.65596 10.24184 11.05679 11.06191 11.15756 11.02771 10.34172 
+  11.55889 13.16734 13.01277 13.71551 11.48029 11.84606 12.16008 11.11222 11.96976 12.21278 12.98672 12.49252 11.65213 12.38936 13.03628 13.42355 12.62503 11.73549 11.11625 12.92801 14.35214 14.86793 15.02906 
+  10.42775 12.77446 12.08269 12.53821 11.88333 11.98844 12.13725 11.12525 12.48612 13.17795 13.38511 12.48855 11.81891 12.69561 13.0315 13.13174 12.79269 11.96432 12.52114 14.89753 16.66616 17.80948 17.48282 
+  11.87147 13.35178 12.29651 13.07613 13.38078 12.15471 11.58152 10.57638 11.48294 11.66988 10.83331 10.95618 10.80718 12.60706 13.70898 13.6584 13.12783 12.36247 13.81388 16.36983 18.19867 19.32249 19.17922 
+  11.74805 13.03258 11.83647 10.99839 11.53884 11.58733 9.78068 10.00441 11.77152 12.2512 12.23087 13.11207 12.52222 13.45929 14.83094 14.73086 14.22945 13.92837 15.33029 17.7077 19.34477 20.7841 21.06674 
+  12.91207 13.92127 12.60293 11.2707 11.34953 11.66406 10.61612 10.41087 11.90737 12.03745 12.62049 12.73641 12.31181 15.63897 15.29306 15.0111 14.84808 15.03202 16.69465 18.62388 20.75715 22.16574 21.82943 
+  11.44404 13.17524 11.91981 11.4003 11.81657 10.4973 11.08138 10.91362 11.54249 11.68209 11.96895 12.71395 12.69716 15.29071 16.25213 15.87629 15.68893 14.98099 17.12889 18.67869 20.67893 22.07556 22.39026 
+  12.4943 14.38828 15.40293 14.53412 12.63508 10.61958 11.04276 10.82849 11.58219 11.86627 13.09368 11.76773 11.85476 15.56555 15.54773 14.94056 15.46294 14.71608 16.38725 18.32511 19.88208 20.835 20.72138 
+  12.06502 16.88607 18.26798 18.51961 18.70255 16.0556 11.92916 12.43737 13.55841 13.30871 12.92406 12.8846 12.13316 15.64249 15.85884 15.73912 15.52897 14.45106 15.96146 17.69323 18.59188 19.02813 19.20515 
+  11.12339 17.63247 18.67913 18.09006 20.21992 17.90995 12.6137 12.48078 12.48313 12.308 12.5629 13.46077 13.18955 15.1113 15.49067 16.01841 16.40285 15.20319 16.30907 17.38044 16.9833 16.74973 17.5288 
+  11.91933 17.71219 18.231 18.7819 20.81494 18.03944 12.80576 12.62215 13.70358 14.11044 12.98072 13.73609 12.88998 16.17216 15.98503 15.40534 16.2627 14.74855 14.94189 16.8815 16.57269 16.14612 17.22886 
+  10.80071 17.88858 18.37441 19.57571 20.85023 16.92813 14.54551 14.11315 14.60858 14.76622 14.24647 13.50114 13.44903 15.14018 15.77174 16.55495 16.70045 14.63158 14.95225 16.897 16.51554 16.39054 16.95824 
+  10.11735 17.24759 17.42141 19.76315 20.66429 16.31513 15.35933 15.46266 14.2526 14.75529 14.8134 13.60172 13.60854 15.0717 15.27205 15.8339 16.31969 14.84996 15.4993 17.3387 16.82842 15.77378 16.33088 
+  11.58894 15.94406 15.80265 19.82332 19.81112 16.33015 15.83328 16.12075 14.11878 13.67492 14.12749 13.19047 13.91129 14.98374 14.91681 15.74825 16.61319 15.2014 15.57807 17.29531 16.63654 15.11069 16.41315 
+  12.11817 16.37547 16.11933 19.74942 19.52616 15.253 15.60251 15.62886 13.73787 12.94972 14.53512 13.22932 13.03554 14.42677 14.02384 14.75253 15.97637 14.65869 15.00835 17.03261 16.1345 14.50001 16.3125 
+  12.40414 17.09673 16.56095 19.30345 18.83337 15.53385 15.46334 15.14222 13.0195 13.65549 14.05797 13.27337 13.1787 13.58766 13.74914 13.84215 14.70384 13.81669 14.36711 16.36557 16.29565 15.23389 17.42854 
+  13.11347 16.62823 16.08442 18.65703 19.09037 15.8935 15.2197 14.41059 14.00731 14.22315 14.2603 13.98392 12.74996 12.83496 12.62025 12.43474 14.70534 14.04083 13.31598 15.78194 16.0346 15.06308 16.98965 
+  13.64474 17.90531 17.46792 19.65909 19.84337 16.36866 15.0947 14.08054 14.56519 14.61388 14.04171 13.45949 11.97165 12.38503 12.46181 12.36982 13.73913 13.27664 12.86066 14.10406 13.75239 13.30816 15.46512 
+  14.14659 17.85538 16.63506 17.69785 17.37612 14.4621 14.21311 14.33 14.55272 14.0266 13.34313 12.6474 11.67851 12.07374 11.39458 12.00585 13.00983 13.07051 12.53945 13.83851 13.02929 13.78781 15.03182 
+  14.42228 17.95903 16.79436 17.2867 17.37424 14.4423 12.56357 13.39425 14.97358 14.38745 12.16811 12.31725 11.24478 11.62687 11.66598 11.82592 13.17022 13.03793 12.44336 12.93122 12.50479 13.24247 14.70499 
+  14.74926 17.10213 16.10866 18.41386 17.76688 14.66671 12.0519 12.36404 14.64657 13.54079 11.52991 11.67943 10.9411 11.91207 12.82024 12.68861 12.79371 12.74705 12.14265 12.87091 12.87852 13.3739 14.64138 
+  14.77377 17.52547 16.45933 18.03106 17.99345 14.37569 12.28482 12.38711 13.49167 12.96972 12.2464 11.9446 12.06746 13.32547 13.42399 12.804 13.77554 13.8069 12.38337 13.585 13.03204 13.04344 13.17559 
+  14.33936 16.05802 15.20399 17.29784 16.82894 14.67938 13.40503 14.50885 16.62795 16.48669 15.85748 14.00688 13.75563 13.0535 13.17885 13.77508 14.15859 14.48487 13.08349 14.30881 13.77487 13.4736 14.49444 
+  14.44479 16.99548 15.77001 17.10963 16.52903 14.38944 13.44239 14.06731 16.73449 17.81567 16.47066 14.45036 13.36218 11.99206 12.16488 12.52671 13.19155 13.33347 12.81071 14.34716 14.2478 14.17321 15.78081 
+  14.02579 17.08305 15.59479 15.89314 16.72221 14.24861 13.47705 14.10365 17.43085 18.94127 17.04 14.55132 12.30284 11.67238 12.13895 11.74947 12.48997 12.62799 12.61127 14.23425 14.47474 14.48953 16.6846 
+  12.98601 16.43487 15.30097 15.82755 15.67639 13.93307 12.06077 14.01533 17.31017 17.03305 16.06872 14.63635 13.17454 12.51504 12.19607 11.30268 12.40507 12.31048 13.08197 14.41822 14.24439 14.75511 16.61187 
+  12.36717 14.63769 12.81204 14.45165 13.75739 14.0802 13.48325 14.81929 17.03195 17.97369 16.36871 14.08131 13.45929 13.48154 13.22458 13.06752 12.79095 12.71402 13.04852 14.30993 14.63789 14.94942 16.90777 
+  11.93372 14.51598 12.94251 14.97276 14.5037 13.14109 12.6004 15.28386 17.44633 17.41194 15.19083 13.97468 12.30335 11.49983 12.01657 12.22904 12.7571 12.17981 13.11903 15.56299 14.76678 16.0535 16.8217 
+  12.47566 14.19673 11.79418 12.79603 13.27397 13.03157 14.51644 15.58098 16.45773 16.79338 14.77104 13.59812 12.80408 11.51495 12.39793 12.11381 12.55917 12.43729 13.31075 15.56109 14.98054 15.78551 17.06624 
+  12.2613 15.1282 13.99666 13.71514 14.27644 13.59662 14.62273 14.96381 16.1037 15.93762 14.79321 13.20536 12.09543 11.00414 11.58279 11.8383 12.9191 12.51326 13.47569 16.26331 15.60605 16.11314 16.97496 
+  12.43962 14.93872 12.93799 13.37484 14.13616 13.94297 13.31241 15.01747 17.49583 16.37276 14.13916 12.80372 11.91654 10.96919 11.34828 11.55524 13.11632 12.65655 13.44765 15.82003 15.211 15.98718 16.41879 
+  12.20704 14.56072 12.76487 14.66424 14.36893 13.81488 12.67005 14.58511 15.8139 15.15328 13.72443 12.0736 11.75713 10.39046 10.3162 11.07518 13.42291 12.18517 12.6754 14.56121 13.61762 14.73406 15.99769 
+  12.26719 14.83184 13.45157 13.9031 13.37387 13.42337 13.16261 14.01834 13.45282 14.0881 12.42882 10.71366 10.67623 9.888527 9.556181 10.42893 12.93971 12.08191 12.30767 14.6603 13.51334 14.00465 15.0682 
+  13.72396 15.37463 14.90107 14.14883 14.71334 14.23447 14.62967 15.41844 13.9625 13.62733 12.02162 10.61794 9.693156 9.38163 9.607562 10.24143 12.10383 11.62002 11.61677 13.37127 12.76904 12.98495 13.14606 
+  12.20455 15.08801 16.28204 15.02526 14.91302 14.54155 16.05799 15.24317 13.17851 13.23946 11.95253 10.98236 9.365788 9.214337 9.505456 10.4926 10.92743 11.19956 12.08282 12.89608 12.90349 12.21022 12.78775 
+  13.37813 14.82368 16.03482 15.19005 16.00402 15.02282 15.84676 15.76265 13.34728 12.43027 11.99226 11.34601 9.200621 9.239662 9.540243 11.00728 12.16874 11.82533 11.95636 13.50077 12.4501 12.26641 12.92042 
+  12.66223 14.38916 15.40475 14.94944 16.37963 15.2842 15.38037 15.8695 13.61753 13.21642 11.7801 11.01452 9.542067 9.19785 9.696535 10.70263 12.5226 12.46992 12.17822 13.79243 13.24585 13.34737 13.80106 
+  11.79797 13.75565 14.85456 15.8272 16.72862 15.18555 15.07867 15.58954 14.36672 13.03338 12.42223 11.01965 9.557907 9.226222 9.848079 10.37486 11.38179 11.42391 12.02948 13.78323 12.73048 13.11424 13.94043 
+  12.11479 14.20692 15.95607 15.77075 15.94264 15.04848 14.68504 15.58499 16.73163 14.876 13.04782 11.34189 9.554831 9.312258 9.405445 10.54039 12.08341 11.93015 12.28186 14.35123 13.82728 13.614 15.07887 
+  11.63898 13.24526 15.91903 15.04351 15.44301 14.33202 14.69388 15.04394 16.66434 15.8622 13.70809 11.39564 9.984374 9.255429 9.771338 10.38831 12.17067 12.11052 12.20296 14.49279 14.43369 13.75218 14.74203 
+  12.24345 14.6031 16.65611 14.82507 16.38684 15.87055 14.16241 14.53406 16.72972 16.78175 14.29714 11.9692 10.40499 9.319419 10.12237 10.74756 13.3062 12.89304 12.51923 15.03736 15.23477 14.65409 15.5749 
+  12.77314 15.07554 16.98285 15.57631 16.88236 15.60186 13.31313 14.22181 15.56985 16.22102 14.96699 12.77368 10.60659 9.910019 11.08181 11.14588 13.15701 12.80074 12.45314 14.14474 14.5937 14.61545 14.75511 
+  11.81499 14.35236 15.86184 15.37682 15.91093 14.51173 12.01213 12.23065 14.53028 15.26377 14.16712 12.59848 10.46429 9.104154 9.218637 9.824287 12.90368 12.61128 11.938 13.29911 13.48286 12.61785 12.90715 
+  13.13115 13.74104 13.82935 14.62105 13.24596 12.30486 11.74188 12.57558 13.35646 14.14618 12.51182 9.92897 9.892784 8.203323 8.843456 9.73543 11.10688 11.40638 11.2225 11.48934 11.82256 11.33256 11.55696 
+  13.5014 14.46064 13.74532 13.76357 14.51184 13.47387 12.36466 13.09748 12.37077 13.78026 12.56234 10.40441 9.652602 9.258573 9.640882 10.48315 11.37579 11.28799 11.69723 12.14306 11.93345 12.913 12.47232 
+  12.11707 14.41063 14.2667 13.93633 13.81357 11.92622 11.39311 12.56514 11.91435 12.2172 11.83334 10.78043 8.693699 9.34746 10.5232 10.74675 11.27402 11.17691 11.69285 11.59679 11.87287 12.48645 13.45397 
+  12.73287 14.28872 14.12864 14.03616 13.14685 12.7475 12.18416 12.10903 11.98855 12.79712 14.14206 13.79637 12.14143 12.49956 13.05192 13.06696 12.86376 11.90433 12.45795 13.79512 14.72743 15.6082 16.03671 
+  13.99284 14.59781 15.86497 15.46929 15.35721 14.4506 13.86872 13.70982 12.77764 13.87713 16.70483 16.12365 13.74394 14.14882 14.72046 14.79044 14.55702 13.26187 13.4715 15.52675 16.2828 17.03688 16.70895 
+  13.34487 14.76827 16.66223 16.6201 16.95358 16.41091 14.59964 14.13615 14.98613 15.52808 16.94203 16.33436 13.65864 12.67898 12.89719 13.15985 13.87055 13.7345 13.81801 15.46476 15.5521 15.17291 16.18393 
+  11.05816 13.38546 16.02215 16.0239 16.26703 16.0995 16.00097 15.06918 15.39436 16.33123 17.5566 17.69474 14.73381 12.76004 13.46956 13.62351 14.9516 14.46614 13.86967 15.92621 15.77614 15.14017 16.05052 
+  13.44674 14.49088 16.24643 15.87667 15.80228 16.08157 16.27578 16.11953 15.71647 16.77408 17.38955 17.5013 14.82175 12.91548 12.99751 13.53425 14.71743 14.50213 14.5002 15.80028 15.50727 14.7684 16.64701 
+  14.21669 14.68321 15.45795 15.69659 15.90129 16.00284 16.18194 16.61241 15.75285 16.67905 17.6036 17.33829 14.63122 13.52661 13.50696 13.30114 14.47372 14.06641 14.2557 16.1715 16.02145 14.45178 16.56786 
+  13.89403 13.90886 13.8904 15.63989 16.239 16.28278 16.61728 16.93481 16.17262 16.97161 18.37757 18.09198 15.23442 13.31642 13.7317 13.67162 14.61277 14.06051 14.15388 16.12131 16.52321 14.41898 16.15249 
+  13.62738 14.29071 14.26743 15.39755 16.17412 15.93856 16.81614 17.35265 17.03794 17.52091 19.20687 18.71931 15.41284 13.25959 14.02276 14.49864 15.36796 14.59919 14.92057 16.34993 16.91476 14.57673 16.4135 
+  13.91304 14.38333 15.62968 15.92608 15.88913 15.46424 17.23949 17.6737 17.75764 18.32361 19.38836 18.81548 14.75313 13.59059 14.47715 15.14762 15.94664 14.38755 14.47487 16.32241 16.61687 13.88076 16.03177 
+  13.85443 14.63751 16.63829 16.22158 16.00957 14.22576 17.54068 17.94837 17.70362 18.35151 19.07424 18.78005 15.38741 13.65261 14.89409 15.66142 16.46598 15.04117 14.94388 16.69312 17.13902 14.49912 16.41131 
+  14.16736 15.20732 17.17613 15.65355 14.81104 14.93489 17.35307 17.69239 17.67073 17.9412 18.96013 18.70328 15.56409 14.20707 14.99696 15.9745 17.04941 15.52152 15.42804 16.55275 17.19493 14.82115 16.61891 
+  14.55787 15.56332 17.40187 15.79714 15.16877 15.23872 17.43352 17.88713 17.42919 17.76297 19.16017 18.89678 16.21667 14.49569 15.32538 16.22569 17.27599 15.67997 14.60294 16.08368 16.37376 14.28088 16.07994 
+  14.28819 15.29579 16.9726 15.32225 14.96721 14.86766 17.3646 17.55653 16.88566 16.39165 17.97582 17.84254 15.61118 13.325 13.99773 15.29101 16.41687 14.61869 14.14026 15.54824 15.78234 13.5513 15.05351 
+  12.89534 14.19264 16.16715 15.45553 14.97155 14.18898 16.54575 16.86909 17.18435 16.91364 17.95696 17.44936 14.9484 14.08921 14.70956 16.02505 16.75773 14.69309 14.29639 15.83831 15.93069 13.20353 15.10151 
+  11.07287 14.01731 15.98684 15.85503 15.7026 14.17124 15.66209 16.81634 16.69689 17.06315 17.20102 16.85413 14.60714 13.95707 14.35706 15.67642 16.10085 14.48048 13.75637 15.7046 15.97279 12.9786 14.57301 
+  13.20215 14.88027 16.1391 15.30331 14.56342 14.65112 16.31849 16.70032 16.30379 16.66877 17.15785 17.35987 14.50481 13.62881 13.80476 16.18898 16.30147 13.83495 13.66053 14.89267 14.77247 12.55925 14.45503 
+  13.06126 13.95905 14.72861 15.52299 15.57437 14.80034 15.9755 16.06871 15.0617 16.14234 17.04153 17.21765 14.65441 13.15693 13.40964 15.61284 16.12287 13.8438 13.76604 15.52066 15.88898 13.41924 15.27078 
+  12.30977 13.65725 15.62276 15.12077 15.0009 14.32717 15.56222 15.53802 15.59415 16.0091 15.70288 16.7213 14.29013 13.25526 13.82748 14.57323 15.08817 13.3787 13.22771 15.28969 15.54399 12.92044 15.89454 
+  13.2355 12.87303 14.13755 14.8824 14.98317 14.09578 15.47559 14.69907 14.95037 15.00035 15.11841 15.08056 14.14125 13.50607 13.85954 13.90839 15.27832 13.46804 13.2138 15.63453 15.70406 13.72386 16.19327 
+  14.09465 13.80971 14.12421 15.16251 15.51726 14.75089 15.25305 14.35832 14.27529 14.6144 14.28123 15.06938 13.85847 13.27495 13.16495 13.6391 14.85534 13.8216 13.19121 14.84105 14.6136 13.33247 14.90938 
+  14.17169 14.05926 14.38466 15.14356 15.18883 14.75758 14.63411 13.4688 13.57265 14.68271 14.24092 14.8144 14.59175 13.15273 12.52619 13.557 14.39644 13.34105 12.86075 15.03354 14.76084 13.2114 14.36096 
+  12.94696 14.0161 14.38512 14.93382 15.28973 13.96826 13.00536 14.16216 12.7634 13.37025 13.69937 14.27973 14.28271 12.20191 11.58065 13.0691 13.86918 12.99897 12.07017 12.88836 13.36119 13.8559 13.72427 
+  14.00163 14.74522 13.96561 13.84176 13.14617 12.28493 13.21515 13.64575 12.21422 12.96211 13.65326 13.52429 13.38388 11.56683 10.93623 12.6721 12.94885 11.75394 11.93754 12.60298 12.66667 13.39652 13.23497 
+  14.01837 14.65643 14.34931 12.89079 12.44645 12.47288 12.34212 12.92817 12.88704 12.13856 13.52651 14.26985 13.20721 11.13747 10.50563 12.04486 13.04915 12.82268 12.21847 14.11812 14.85144 15.37979 15.23997 
+  13.68709 14.73938 13.74758 13.45861 13.16367 13.00546 12.78111 12.54126 11.39514 11.72749 12.81818 13.32782 12.47606 10.72879 11.57598 13.16603 12.89361 13.47785 12.73763 14.78968 15.50553 18.04643 17.43831 
+  12.58177 13.59478 14.05649 13.31381 13.11898 12.32821 13.0021 12.62218 11.5436 12.16554 12.48717 11.81394 10.50265 8.973746 10.09016 12.06378 12.39155 12.9348 12.42843 14.2313 14.86099 18.31309 17.32769 
+  12.75411 12.6887 12.49659 12.86026 12.59906 11.34449 12.41792 12.40671 10.25577 10.55363 11.62938 11.7192 11.39313 9.014958 9.833184 11.20295 11.54293 12.10884 12.57974 14.2528 15.04182 16.35394 17.43106 
+  13.07687 12.93932 12.05013 11.10465 10.92198 10.16203 11.9019 12.00359 11.20652 11.09058 11.98129 10.94307 10.32444 9.561 10.09412 11.1652 11.89071 12.46157 13.37886 14.81377 15.79583 16.46983 16.3099 
+  12.44068 12.16542 12.749 11.51701 11.75818 10.98072 11.45177 11.79877 11.41194 10.86352 11.39708 11.80494 10.21916 10.17022 10.94074 12.73651 13.22818 13.90771 14.318 16.45604 17.52512 18.12885 17.99037 
+  12.84129 12.74346 11.62644 11.11886 11.60124 9.904121 10.04816 10.7376 10.31966 11.05361 11.45463 12.15746 11.15053 10.69711 11.84554 13.98456 14.60289 15.31413 15.49967 16.84238 18.05069 19.01266 18.84834 
+  12.53398 11.96433 9.244778 8.572387 10.26614 9.39289 10.5042 10.72253 10.65647 12.75043 13.54582 13.20332 12.30947 11.8775 13.39289 15.73803 16.03198 17.65893 17.08116 18.5041 19.5771 20.24899 20.35165 
+  12.00563 12.20351 10.276 9.838881 10.18145 9.774684 9.775256 10.85217 11.57201 12.9943 13.72266 13.57533 12.36394 12.41757 14.64912 16.40559 16.40833 17.94178 17.0117 19.56192 20.42689 21.10626 20.54123 
+  11.91491 12.22656 10.11695 11.68905 13.45684 12.16579 11.17595 11.02882 13.19395 13.89767 15.23678 15.18915 13.55568 14.68092 15.77575 16.75733 17.13061 17.34155 17.21397 19.74595 20.57611 22.05666 21.36359 
+  11.47355 11.28028 10.45217 11.66897 13.02617 12.40421 12.3838 12.38136 13.96514 15.68431 16.50488 16.14618 15.39929 15.91039 16.42896 17.51905 18.45585 18.59583 17.75705 19.62965 20.81224 22.27122 21.80147 
+  12.52662 11.94858 10.55505 12.42413 13.77102 13.32065 12.9342 13.66854 14.39565 16.63391 17.94618 17.4248 17.46566 16.57822 16.48766 17.86062 18.27674 18.54208 17.23242 19.31924 20.2264 21.92178 21.3364 
+  12.02873 11.26655 9.571183 11.58556 13.19479 12.65055 12.59585 14.40476 14.95008 16.4713 18.34317 18.11756 17.86362 16.10263 16.13897 16.93494 18.05787 17.58092 17.09885 18.80086 19.4799 20.65734 19.97151 
+  10.86476 9.108546 9.552567 11.91356 12.38227 12.85921 11.95166 14.44887 16.19041 17.26532 17.9296 17.84677 17.18984 16.35882 15.73214 17.40462 17.33592 16.97078 16.5151 16.88156 17.47563 18.54997 17.5454 
+  12.60442 11.37389 10.2908 11.55008 13.28062 14.39302 13.83146 14.80365 16.86215 17.7065 17.82295 16.90414 16.20468 15.93856 16.19014 16.84039 17.83888 16.61141 15.98524 16.43695 16.56059 17.5152 17.1277 
+  12.41213 11.59318 10.9033 11.81183 13.5534 12.9817 12.88539 14.86807 16.76102 18.08833 17.84195 17.58156 15.95464 15.7454 16.94265 17.86619 18.44193 16.60484 16.43938 17.78119 16.30627 18.12034 18.17815 
+  13.1731 10.92382 11.44889 11.58021 12.51424 12.61171 11.91807 14.35635 16.45222 18.2344 18.02634 18.44849 16.43503 15.31518 16.52777 16.50167 17.21136 16.07273 16.42845 17.90891 16.48678 18.03056 17.71963 
+  12.32748 11.78882 9.929072 11.31927 12.64543 11.5685 10.86378 14.32529 17.28631 17.74572 17.08748 16.90873 15.3218 14.87652 15.57612 15.72205 15.87119 15.72217 15.76832 16.80227 16.46172 17.64037 17.64002 
+  12.19527 11.26126 10.91108 11.51357 11.88646 12.82152 12.50746 15.10742 17.22483 18.49776 18.38831 17.32627 15.58188 14.17714 15.13854 16.44323 16.22381 16.09768 16.18013 17.33267 16.986 16.6601 17.38706 
+  12.38316 10.9315 10.43465 10.56535 12.23314 11.90101 12.91362 14.65029 16.51646 18.22181 17.65647 16.37604 14.34329 13.71848 14.16311 15.41569 16.0204 15.15731 15.41514 16.67949 17.00598 15.89455 16.97392 
+  11.30577 10.28441 9.945932 11.39331 12.30649 11.96362 11.83533 14.81513 17.35564 18.33072 18.05184 15.06798 14.07956 13.20424 13.25025 14.4972 15.11539 14.80095 14.70875 16.30007 16.03745 14.93294 16.70602 
+  11.03609 11.63719 10.21918 10.6167 10.88359 11.86974 11.941 14.54243 18.29357 19.38234 16.87861 14.88691 13.15115 12.30057 13.38792 13.84875 14.85546 14.83342 14.70834 15.97845 15.37833 14.04472 16.18783 
+  13.34986 14.78248 13.79236 13.17295 12.78349 12.70567 12.45625 14.42082 17.43404 18.18635 15.59477 14.50266 12.80653 12.16918 12.35644 12.73297 13.97416 14.38635 13.72448 14.86592 14.04201 13.30526 16.08755 
+  13.90898 15.20264 15.9369 14.62706 13.72583 13.84371 14.70597 16.07141 18.13611 18.26731 15.36589 14.14722 12.81018 11.74895 11.73215 12.83022 13.8598 14.30199 14.02788 15.60954 14.73503 13.21847 15.28059 
+  12.65622 13.64794 16.40841 15.1159 12.92702 14.19901 14.66136 16.53231 18.85972 18.87691 15.47901 14.02315 13.04305 11.90804 12.02419 12.18788 13.65167 14.87863 14.52754 15.9854 15.23429 13.42042 14.61205 
+  13.16586 14.09224 15.83176 14.90314 13.58085 14.20237 14.74656 16.52872 18.05439 17.30598 14.93832 14.26765 12.49032 11.86487 11.99516 12.17831 14.06437 14.65313 14.55127 15.61084 14.85131 13.26807 13.69388 
+  13.4008 14.57262 15.16415 15.02138 13.99929 13.74122 14.89686 16.43497 18.12129 17.57994 14.38773 13.34021 11.77359 11.37652 10.77275 11.62928 13.2342 14.23693 14.04607 15.04497 14.55735 12.52344 13.15258 
+  12.58941 13.8753 16.66035 16.01036 13.94624 12.86215 14.91205 15.55473 17.18862 16.32199 14.95177 13.18178 11.81485 11.68483 12.10907 10.99695 12.64363 13.92735 13.98247 14.74136 14.57911 14.06635 14.69018 
+  12.09153 13.84327 16.73779 16.22157 14.56728 12.37056 15.10593 15.10421 16.23268 15.88102 14.39125 12.42256 11.36509 10.85059 10.98364 10.62551 11.97378 13.79792 13.98639 13.31582 13.83742 14.01882 14.74063 
+  14.35417 15.46001 15.97281 15.97872 15.05301 13.271 14.85252 14.8182 15.14593 14.99852 13.87889 12.85231 11.08199 10.78992 11.17402 10.49343 12.2052 13.27493 13.57413 13.50568 12.8814 12.89545 14.14766 
+  15.11954 16.42943 16.03817 15.8695 14.94205 13.81331 14.11605 13.90077 13.72665 14.46259 13.50304 12.15606 10.48165 10.17465 10.4161 9.912415 11.29775 13.10989 13.52075 12.40094 12.22526 13.01442 14.24785 
+  15.51706 16.90478 15.31721 15.63563 14.91287 12.8936 13.76248 14.32526 14.25805 14.36927 12.66967 12.0761 10.97497 9.48582 10.20874 10.5375 11.10218 12.73337 12.90427 12.4544 12.51494 12.39871 13.89166 
+  15.83766 17.44094 15.59742 15.76098 14.73724 13.33175 13.09907 14.17982 13.79805 13.84968 12.17967 12.07957 11.02122 10.35668 10.95256 10.26702 11.17187 12.12873 12.05996 12.1097 11.7091 12.38269 13.66632 
+  16.28121 17.97894 15.37001 15.30069 15.23669 13.93175 13.33285 13.58994 12.95194 12.94088 12.26932 12.17642 10.4537 10.94146 11.22272 10.16105 10.75595 11.85875 11.60317 11.8685 11.6532 12.81746 14.03694 
+  16.65678 18.48001 16.02887 15.72611 14.88948 13.75212 13.00821 13.84919 13.9075 12.9391 12.38781 11.60378 10.67275 10.77736 11.13959 10.14937 11.14159 12.06991 11.99633 12.57936 11.69493 12.77214 13.83402 
+  16.88027 18.81418 16.32965 15.89062 14.08585 12.9283 13.01355 14.09655 14.04627 13.70805 12.55457 12.14791 10.23291 10.64731 10.54774 10.34701 11.31384 11.85837 11.31565 12.61369 11.56602 12.69893 13.17958 
+  16.86315 18.90851 16.74496 16.61073 13.71159 11.98781 12.37382 13.89134 13.772 14.01257 12.72022 12.62209 10.90394 10.19925 10.34741 10.43047 10.72284 11.89819 11.36431 12.45117 11.00326 12.7707 13.43279 
+  16.55088 18.7428 16.48301 16.17187 14.55713 13.0492 13.09207 14.58359 13.44237 13.92513 13.25501 12.62462 10.7068 10.42912 10.70771 10.98847 11.20761 12.1386 10.86133 11.76409 10.89257 12.65522 13.48968 
+  16.31133 18.53433 16.33694 15.77417 14.38188 12.95522 13.08407 14.4475 12.69577 13.27632 12.01401 11.38529 10.35604 10.744 10.78147 10.85441 10.54302 12.20752 11.1479 11.46902 11.70803 13.0295 13.62829 
+  16.08484 18.22621 16.04434 15.1363 12.58238 11.89639 12.57116 13.53181 14.12426 14.20648 11.83826 11.15889 9.9625 10.32529 9.984441 10.63607 11.00616 12.5833 11.28041 11.6917 11.89614 12.90713 13.29698 
+  15.68179 17.81505 16.00374 14.72812 14.84708 11.26076 12.04008 13.00523 14.13205 13.28368 11.21361 10.097 9.955743 10.26499 9.792438 9.863858 11.07145 12.3472 10.51815 10.99274 11.61275 13.19388 13.72785 
+  14.55198 16.86638 15.5845 14.5592 14.73209 12.26241 10.81983 11.97698 13.21972 12.68782 10.91807 10.4126 9.59472 10.19615 9.584566 9.555467 10.64191 12.16234 10.07995 11.50145 12.38194 12.66189 12.71277 
+  13.01004 15.59743 15.64693 14.08796 13.8486 11.90227 10.5667 10.79841 12.75414 11.89225 9.598926 9.206168 9.479238 8.989665 8.048623 9.163903 10.12297 11.2002 10.10107 10.59673 10.9262 11.29577 11.6629 
+  13.91573 16.00849 15.0316 13.62253 12.95412 9.966305 10.1017 9.991467 9.596074 9.605503 9.343888 9.190509 8.865524 8.973734 8.919617 9.209815 10.08192 10.85753 10.00404 9.867455 10.36516 11.38496 11.67881 
+  14.8278 16.76171 14.70668 13.6729 13.04084 9.941384 9.693533 10.51062 10.44051 10.19218 9.282916 9.032 8.986729 8.863693 9.409104 9.42415 9.590022 10.41179 9.549519 9.795614 10.16903 11.44894 11.5452 
+  14.85072 16.98533 15.18039 13.29803 13.33594 9.623359 9.158119 10.2534 10.32673 9.353215 9.035355 9.315903 9.19397 9.060982 9.5213 9.576943 9.395948 9.738444 9.638402 9.812303 10.30602 10.88667 10.86766 
+  14.6904 17.03413 15.28008 14.86307 14.88218 11.42855 9.846802 11.10628 10.92814 10.19661 10.62403 11.59551 10.50513 9.933274 11.18404 11.79196 12.68107 11.0639 9.99734 11.25623 10.75933 12.35911 12.92669 
+  14.66271 16.80819 14.93047 15.11656 14.37493 12.24518 9.898335 10.41227 10.94259 9.562234 9.82956 10.52575 10.91687 11.3688 12.16531 13.12481 13.59379 11.50523 10.77534 12.16117 11.03448 13.25059 13.33833 
+  14.15415 16.37178 13.99285 14.13001 14.35129 12.60274 10.18616 9.21813 9.342664 9.430008 10.54196 10.54733 10.69073 12.74719 13.28319 14.68884 15.19119 12.57943 11.37738 12.86609 11.79551 14.11093 13.75384 
+  13.90892 16.035 14.79413 14.31352 13.37496 11.89549 10.30609 9.863048 9.564677 9.050714 9.766609 9.916749 9.736766 12.76469 13.29292 14.07608 15.34341 12.62214 11.65098 12.8247 11.93356 14.02104 13.58228 
+  13.60849 15.51042 14.56466 14.77384 14.10931 12.00589 9.922771 10.00272 9.233529 8.90524 9.197906 9.287741 9.224826 11.10517 11.75283 12.47408 14.07385 11.81659 10.66715 11.48033 10.96836 11.95531 11.53177 
+  12.63871 14.4074 14.43942 15.18537 14.02158 12.20864 10.17488 10.41652 8.884479 8.93423 10.05001 9.872001 10.05358 11.18607 11.13514 11.16448 12.71593 10.94455 10.9008 11.7045 11.48672 11.77495 11.38987 
+  9.470507 13.9183 15.38312 15.29352 14.31409 12.62442 10.19246 9.844234 9.015466 8.645416 9.272799 8.95722 9.29404 9.842471 10.79908 11.95937 12.56295 10.62304 10.97254 11.55685 10.80731 10.67443 10.93567 
+  9.689436 12.1227 15.04778 14.65507 12.59609 11.3594 10.29826 9.403631 8.485927 8.846539 8.928617 8.97279 8.096455 9.521686 11.13479 12.4645 12.32434 10.56936 10.17078 10.82339 10.85006 11.1649 11.38804 
+  10.98928 14.05137 14.64129 16.00715 14.09278 11.13883 9.941337 9.854771 8.722589 9.290672 8.857082 8.991954 8.21919 9.559203 12.24082 13.63578 12.84687 11.02113 10.59677 11.14553 10.55739 11.74764 11.36405 
+  12.63155 15.67096 14.68544 16.10676 14.76892 11.35606 9.204973 8.561191 8.504937 9.011736 8.932889 8.941728 8.647584 9.663374 12.39362 13.74842 12.88115 11.69389 10.94999 12.21108 11.19174 12.30093 11.63438 
+  12.10139 15.86091 14.87627 15.61644 14.75041 11.31224 8.924519 8.241544 8.472549 8.927956 8.740888 9.051448 8.190333 9.251281 12.88241 13.90231 12.65679 11.89317 11.16821 12.41968 11.02865 12.32125 11.54047 
+  11.38513 15.89259 15.55978 16.49071 15.93176 11.26818 9.120329 8.472344 9.292308 9.625569 9.129047 9.180802 8.588961 11.19132 14.33207 15.09559 13.56647 11.99036 11.61518 12.64687 10.69325 12.63932 11.8825 
+  11.33489 16.01806 16.14634 17.10612 17.0976 11.94706 10.30982 9.953162 10.28553 10.87142 10.28722 9.505128 9.044598 12.70718 15.12737 15.38648 14.23596 12.67216 11.409 11.88481 10.85025 11.92107 11.80873 
+  11.93121 16.69381 17.38387 17.6749 17.98742 13.28621 11.70719 10.43649 10.91934 11.77147 11.88422 11.13052 11.38345 13.80934 14.99402 15.98011 14.9559 12.99995 11.91326 12.93166 10.28887 13.55714 13.66834 
+  11.91258 16.81928 16.99542 18.31518 19.14895 14.40946 11.01381 11.08671 11.39375 13.21682 13.19212 12.36498 12.30863 14.04659 13.71266 15.38462 14.6618 12.61307 12.04058 12.94022 10.91476 13.20159 13.73922 
+  11.46789 17.38041 17.82477 18.2752 19.65061 15.74574 11.42097 11.61401 12.88716 14.96064 15.02348 12.79885 12.33007 13.6574 13.31771 14.41018 14.14105 12.70052 11.94269 13.00976 10.96539 14.06782 14.93854 
+  10.82074 17.51527 17.82471 18.72139 20.24971 16.65067 13.19277 11.47689 13.75297 16.15981 15.89948 12.82615 11.78095 12.68962 13.03443 13.99312 14.44622 12.8687 12.09715 12.6253 11.04033 14.82887 15.41104 
+  9.789128 17.60623 17.95166 19.12147 20.36291 16.45957 14.5175 11.95895 14.00584 15.58451 15.58284 13.09798 11.42349 12.38721 12.11636 14.10925 15.14098 13.66024 12.47174 12.31593 11.41416 15.35977 16.09952 
+  10.03751 16.87819 17.14559 18.82435 19.69844 15.54911 14.925 13.47285 13.4415 14.02402 13.91976 12.55425 11.28404 11.29449 11.12666 12.90026 14.52994 14.08993 12.81467 12.58953 11.19166 14.11535 15.23785 
+  10.93798 15.34559 15.48075 18.89332 19.13994 15.17251 14.3534 14.04348 13.22518 13.32802 12.83179 11.63252 10.8536 11.23855 11.16474 11.8378 13.7653 13.51799 12.46745 12.35123 10.79845 14.09694 15.23058 
+  11.39907 15.94585 15.80858 18.99041 19.07972 14.78049 14.1376 14.13164 12.62071 13.95744 12.93874 11.53029 10.4269 11.58948 11.19517 11.35314 12.57921 12.77587 11.52973 10.72114 11.27394 14.35466 15.65102 
+  12.50065 16.98081 16.2958 18.53826 18.03814 14.84136 14.63556 13.97874 13.23756 13.85454 13.35822 12.12458 10.75648 11.73495 10.99577 10.73339 12.26947 13.05336 11.80032 11.86604 11.52577 14.2759 16.10515 
+  14.11917 17.50495 16.44348 18.44194 18.71619 15.23897 15.50647 14.00227 12.22151 13.66027 13.43431 11.87765 10.321 11.40836 10.86816 10.51086 12.05384 13.00603 11.8335 11.91356 11.91522 14.54532 16.75152 
+  14.99379 17.92895 16.8975 18.70519 18.95995 15.73521 15.49823 12.87329 13.83215 13.62185 13.06669 12.05937 10.42773 10.73961 11.01464 10.88707 11.64818 12.58473 11.62818 11.58135 11.51648 14.55052 16.08885 
+  15.54145 17.85107 16.98327 18.49837 17.73919 15.18074 14.75038 12.77507 14.06172 13.54413 12.30926 11.52931 10.36564 11.26507 11.33629 10.336 12.06124 12.62648 11.26266 11.69004 11.93004 14.61818 15.63297 
+  16.0619 17.99921 16.89255 18.13565 17.83411 15.88005 14.93022 13.40796 14.59884 14.0794 12.40723 11.15436 10.18998 10.83631 11.137 10.82108 12.08101 13.16273 11.88929 11.08195 13.06093 14.60555 15.1582 
+  16.41592 18.74591 17.24427 17.45222 17.14775 15.69397 14.63761 13.72616 14.99289 14.96222 12.8571 11.36845 10.90592 10.93947 10.72949 10.99991 12.06396 12.11599 11.73193 12.9482 13.76328 14.24961 14.51857 
+  16.59169 18.33644 16.6729 17.92939 17.99472 15.11923 13.68678 12.95239 14.18037 14.98073 13.72894 12.48612 11.10576 11.19653 10.8321 11.57918 12.45367 12.50688 11.21697 13.96683 14.07828 13.39284 13.05171 
+  16.37931 18.53983 17.11295 17.0422 17.68007 15.11545 13.4979 12.7253 12.83473 13.30683 14.44711 13.53261 11.2399 11.29604 10.66569 11.51261 12.52057 12.61519 11.1287 14.42613 14.21188 12.91073 13.62521 
+  15.77711 16.81826 15.82284 16.26417 14.77699 13.92578 12.86666 12.48366 12.62949 12.08785 13.24057 12.46911 10.74334 10.64687 10.51021 10.52875 12.20348 12.29009 10.30058 13.55652 13.26817 13.30325 14.35986 
+  15.82015 17.46225 15.50791 15.47983 15.53145 14.01977 13.48505 11.83372 11.23159 11.60364 11.24516 11.02851 9.994411 10.127 9.874244 9.952956 11.45186 11.57752 10.71201 11.31057 11.925 12.24183 13.13455 
+  15.76488 17.33266 15.47503 15.67266 14.76409 13.55282 13.16781 10.86405 10.00527 10.30678 10.84636 10.38855 9.692888 10.62687 10.82284 10.76016 11.56705 11.6752 10.60772 11.25967 11.79259 12.14699 12.2975 
+  15.79346 17.73031 15.68137 14.88974 13.31264 11.70068 10.75016 9.699461 11.59397 11.09019 10.58869 9.898376 8.929638 9.302467 9.637378 10.49889 11.22649 10.7973 10.0415 11.52228 10.99211 11.29036 11.60892 
+  15.62056 17.43279 15.06023 14.50031 13.94001 11.11427 10.53508 10.24727 10.84226 10.2417 9.97341 9.786078 8.522814 8.529009 8.403295 8.864924 9.860689 10.12548 10.1109 10.64103 10.51032 10.91088 10.99742 
+  14.92246 17.0135 15.04857 14.46992 14.52418 12.18941 11.24207 11.29555 12.0192 13.37018 13.99349 13.40953 12.65679 13.28639 14.09664 14.8326 14.6762 13.23665 11.35561 12.54946 14.12629 15.38962 14.67778 
+  14.08548 16.16105 14.25179 13.72728 14.2951 12.56719 11.60147 10.79406 11.7847 13.46562 14.78914 15.1487 13.70664 13.32854 14.55988 16.36461 17.04605 15.91949 14.81793 16.99095 18.20212 19.37614 18.60077 
+  13.56568 15.41561 13.65116 13.80278 12.35432 10.98944 10.19834 9.714845 10.88012 12.79503 15.31259 16.04332 15.07261 13.3139 16.37029 18.55497 19.72721 18.21986 16.88817 18.66231 19.42877 21.17449 21.34429 
+  12.81052 14.82067 12.89596 12.89064 12.7278 9.884626 10.07492 10.31998 11.56146 13.61393 16.51963 16.62613 15.85953 13.70052 15.65685 20.09129 21.61243 19.28339 18.15581 19.5183 20.06223 21.13614 22.15731 
+  12.4148 13.93226 11.91046 12.1541 12.28745 11.01894 10.5866 10.27591 12.31247 14.79986 17.28344 17.50844 16.46629 14.32873 15.63348 20.89158 21.659 18.84053 18.39215 19.79963 20.31273 21.56329 22.12888 
+  12.91297 14.79987 12.71113 13.29154 13.44041 11.56215 10.49496 10.6033 12.03684 15.29325 17.49444 18.31451 16.88695 15.08641 17.40228 20.39707 21.17206 19.49123 17.8341 19.26415 20.69028 21.98025 21.82807 
+  13.12175 14.64588 12.15094 11.35538 12.11017 10.95849 11.28366 11.61484 12.85101 16.09893 18.0477 18.62724 16.99242 15.1852 17.51782 19.87419 20.87705 19.48903 17.96088 19.17698 20.07501 21.74238 22.1084 
+  13.00411 14.90964 12.85213 12.4642 12.19896 10.9285 11.4324 11.96293 13.98125 16.61734 18.89468 19.34385 16.26028 15.6907 16.13703 19.2197 20.6384 19.75793 18.03179 18.44206 20.21319 21.34424 21.91418 
+  12.53915 14.56936 12.39721 13.01271 12.77172 11.97516 11.71099 11.24299 14.61106 16.86008 19.35301 19.43951 16.80698 15.8419 16.63168 19.33833 20.47225 19.18408 17.29919 18.15383 19.49329 20.5814 20.88459 
+  12.15284 13.47757 10.60758 12.20281 13.0343 11.11187 10.97446 10.88111 14.17981 17.2116 19.27656 19.46944 16.21806 14.89002 15.36739 17.92939 19.41214 17.94695 16.58801 16.62714 18.35245 19.04712 19.02948 
+  11.57865 13.99112 12.93595 11.18491 10.64367 10.56507 10.97282 12.65517 14.05695 15.92091 18.14322 18.23843 15.92175 14.87526 15.68978 16.53125 18.24236 17.28429 16.56872 15.94291 16.28687 17.53417 17.20242 
+  11.28529 12.6209 11.65753 11.60241 11.58626 10.83581 10.27027 12.12041 14.267 15.48161 18.20242 17.39253 15.21907 14.75703 15.08057 16.2598 17.26633 17.07322 16.03636 15.15166 15.24807 16.5594 16.19338 
+  10.91567 13.44223 11.93005 10.71006 11.31781 11.7807 10.22369 12.09495 13.98265 15.85598 16.988 16.82117 15.11764 13.72713 14.96652 15.93681 17.34565 16.43155 15.34467 14.63535 14.80754 16.85585 15.56012 
+  11.37683 12.73687 10.39089 9.336987 9.831561 11.17227 10.51462 11.394 13.52753 17.06892 18.22289 16.58073 14.50473 13.4536 14.32212 15.69642 17.59365 16.24478 14.84533 14.05617 14.99095 16.48585 15.65335 
+  11.15164 13.128 10.98207 9.10566 10.39393 10.70634 10.84463 11.06166 13.15317 16.16613 17.48376 16.13078 14.46833 12.60861 13.22436 15.39284 16.83496 15.80455 14.54673 13.42426 14.11045 16.32096 15.15128 
+  11.15148 13.08558 11.24186 10.75418 11.27332 10.83193 10.16917 10.71663 12.71503 15.8612 16.86666 15.34324 13.83714 12.93292 12.91148 14.20864 16.26399 15.44005 14.26241 13.12186 13.5547 15.73553 15.21248 
+  10.32435 11.80502 10.71903 10.12998 9.243139 10.32276 10.51204 9.885305 13.37798 15.24079 15.56827 14.59323 13.25549 12.08573 12.08292 13.83259 15.49082 14.31401 13.56349 12.58398 12.93209 15.15023 14.39397 
+  9.55196 13.14198 12.09491 11.57915 11.7868 10.55393 9.688849 10.1536 12.66342 15.51936 15.60778 14.23114 13.59677 11.5554 12.35998 13.28365 14.88144 13.88197 13.16487 12.75849 12.51151 14.26958 14.14925 
+  11.14226 15.27234 14.74488 14.24864 14.20611 12.25802 11.94632 12.10342 13.43625 15.97755 15.82204 14.68259 12.32215 10.68163 11.67134 13.07826 14.39713 13.78414 12.79398 12.32595 12.68034 13.86888 14.63672 
+  11.82192 16.13304 15.37651 16.57404 16.01068 12.65684 12.84768 13.69928 14.84385 16.28752 15.21064 13.4215 11.93544 10.11553 10.96781 12.73654 13.93202 13.7597 12.7366 13.53805 13.78219 14.34586 15.65966 
+  11.16597 15.60295 14.91919 17.65105 17.25035 13.94595 13.03636 13.82953 15.81298 16.99026 16.38386 13.44202 10.67358 10.54342 11.52007 12.54199 15.2073 14.85921 13.04932 13.6851 13.8579 15.4532 16.68387 
+  10.51662 15.43471 14.99521 18.16862 17.72067 15.69889 14.12805 14.29307 16.52756 17.99657 16.64942 14.49547 11.61017 10.99339 11.64379 12.93506 15.5309 15.33103 13.2612 14.26317 14.55778 16.36224 17.4065 
+  11.90673 16.09601 15.16525 18.22427 17.79523 16.65013 14.95471 14.57647 17.00873 18.48756 16.99238 14.55247 11.84007 11.13602 12.00641 12.06635 14.78719 14.60945 13.60264 14.37275 14.25254 15.76529 16.61269 
+  11.77753 15.94984 15.05677 17.97174 17.373 17.41905 15.6169 14.73355 17.46013 18.81142 17.14954 15.49692 12.20508 11.44368 12.23865 12.73304 15.18181 14.84058 13.51544 14.6217 13.58304 15.94587 16.794 
+  10.41407 15.72303 15.14866 17.70807 17.07916 17.71496 15.88798 14.64032 17.55777 18.87132 17.8488 15.62309 12.12702 11.63624 12.23076 13.35091 14.845 14.49619 13.87168 14.96588 14.34432 16.30333 17.20194 
+  11.354 16.18204 15.44579 17.66172 16.96994 17.44448 15.66464 14.72198 17.39568 18.71137 18.22394 15.33202 11.91729 11.85658 12.49095 13.32615 14.09961 14.23158 14.58506 15.50219 16.31929 16.47316 17.44572 
+  11.67818 16.44463 15.64772 17.72272 16.90357 16.48343 15.1468 14.66261 17.37626 18.67665 18.43763 16.17672 12.68573 12.12047 12.56644 13.53683 15.69811 15.11192 15.10006 15.99792 16.72847 15.30137 16.12518 
+  11.81452 16.51302 15.8351 18.05065 17.12857 14.78708 14.79863 14.54577 17.14968 18.40389 18.33661 16.81234 12.45416 12.26822 13.33935 13.42922 16.02875 15.44887 14.45614 16.00752 17.02212 15.07159 15.84839 
+  11.66775 16.09326 15.45326 18.56066 17.73905 16.56577 15.80819 14.98165 16.93577 18.54793 18.7565 16.84025 13.44262 11.95572 12.87634 13.43538 15.80291 15.6723 14.43189 16.38626 16.87126 15.30465 16.12741 
+  11.18154 15.3121 14.98711 18.80246 18.00036 17.79539 16.50552 15.6597 16.54539 18.6693 18.88139 16.73647 13.84423 12.21505 12.68858 12.8891 14.96932 14.98377 14.47017 15.99248 16.69073 16.01393 17.04851 
+  11.39253 14.84143 14.70809 18.75023 17.97756 18.1698 16.63218 15.90916 15.77523 18.6932 18.87343 16.30272 14.07881 12.17943 12.72991 13.99461 15.09284 14.90023 14.86968 15.68508 16.95284 15.82605 17.11721 
+  11.86377 15.31133 14.59444 18.38207 17.6422 17.60731 16.2254 15.42659 15.86426 17.45585 17.54583 14.96311 13.32989 12.32241 12.82136 13.80614 16.04843 15.70225 14.60214 15.79691 16.55345 14.48477 16.21475 
+  11.73533 15.70459 14.84644 17.80892 16.99964 15.85337 15.77551 15.02913 15.56236 17.03756 17.23155 14.80542 13.2883 11.4158 12.61335 13.34564 15.46394 15.25104 14.61511 15.47291 15.86379 15.43297 16.33346 
+  10.81638 15.52154 14.9054 17.31289 16.38354 15.1073 15.92739 15.73638 16.55172 18.13293 18.54304 15.54773 13.22721 12.31508 13.16266 14.46879 16.11985 15.48509 14.86392 14.97309 15.37611 15.07204 15.87638 
+  10.26267 15.25113 14.67625 17.21563 16.31719 14.77018 14.92522 15.68053 17.32211 18.43587 17.91074 15.57454 13.49049 12.60371 13.12548 14.11297 15.84021 15.45053 14.63433 14.96083 15.49248 13.76896 15.98103 
+  10.69819 14.90186 14.28961 17.07143 16.24204 13.46402 14.20674 15.63925 17.09035 18.04039 17.88895 15.37756 12.4007 12.11112 12.55157 12.96375 15.69617 15.59222 14.15425 15.03544 15.54571 13.44852 15.65409 
+  9.915021 13.82648 13.51551 16.30905 15.34114 15.36788 15.25857 15.57581 16.88137 17.62993 16.70799 14.8589 12.48502 11.65991 12.48844 12.89608 15.70182 15.3114 14.08729 15.36026 15.73317 12.51652 15.22122 
+  8.68051 12.45413 12.77622 15.34519 14.32071 14.90527 13.81296 14.36697 15.78108 17.00771 16.51527 13.94231 11.84495 11.75392 12.35656 13.10109 14.77411 14.72279 13.45488 14.19114 14.58668 12.4133 15.44579 
+  10.05589 13.40399 13.02372 15.95843 15.3619 14.07744 14.53119 14.84178 15.96589 16.57776 15.83888 13.69824 11.78194 11.49591 11.9167 13.30375 14.69968 14.48295 12.85517 14.20968 14.40717 12.00698 13.85596 
+  11.27062 14.20996 13.00546 15.81915 15.0768 14.00317 14.15812 14.63979 15.93456 16.13581 15.80585 14.0422 10.93639 11.04755 11.28759 13.27676 14.53805 14.24715 12.69541 13.41502 13.21583 11.7954 14.09292 
+  11.82292 14.00475 12.70146 14.15521 13.96183 13.86355 13.82776 14.55097 15.977 16.62114 15.52749 14.43003 11.57255 11.82603 11.46633 12.81295 13.52481 13.20844 12.48258 12.9837 12.70388 12.01538 14.10332 
+  11.81733 14.02889 12.67105 14.56858 13.83397 13.15577 12.52465 13.75595 15.65288 15.53403 15.14229 13.78594 11.95139 10.92552 12.43795 12.72144 13.77396 13.37051 12.03247 13.05484 13.05454 12.07504 13.45452 
+  11.53573 14.69543 13.47587 14.54975 14.09588 12.23716 11.75021 12.82979 16.3925 16.57847 15.83274 15.41968 12.53094 12.0738 12.46284 13.14491 13.65205 13.70883 12.48045 13.69684 14.24071 12.90326 13.78031 
+  10.46279 13.28604 12.97831 14.62308 13.95662 12.26015 12.11266 13.03825 15.73407 15.80908 16.49609 15.14229 11.56523 11.61488 11.99993 13.00464 14.1577 13.95174 12.51486 14.32073 14.42474 13.37241 14.48748 
+  10.48366 14.08517 13.39815 12.98214 12.39788 11.79398 12.84884 13.57857 15.40684 15.60652 15.99256 14.35739 12.09316 12.1796 13.10014 13.46264 14.51066 14.02861 12.81611 14.63739 14.12812 13.86828 14.78857 
+  10.19182 14.69601 13.93462 12.37111 11.73293 10.65019 12.18164 13.14647 14.66128 15.14137 15.29343 13.7568 11.9698 12.07825 12.39925 13.19032 14.63404 14.42319 13.39776 15.18882 14.68679 13.48536 15.13381 
+  10.34476 14.25978 13.3268 12.39499 12.02569 10.45536 10.55758 11.70175 15.12028 16.20647 14.50963 12.94513 11.49872 11.71179 12.57724 12.75515 13.61092 13.75198 13.41445 15.13885 14.47829 14.33477 15.76451 
+  10.20487 12.92972 12.66008 12.42735 11.86889 10.36294 10.88357 12.17473 14.84048 16.0851 14.19029 12.64169 11.7309 11.68961 12.55493 12.70489 13.73792 13.65674 13.2528 14.73102 13.98869 14.62711 16.16679 
+  9.423117 12.70624 12.09342 10.86123 10.24333 9.513165 11.43117 11.95184 14.92405 16.06582 14.44456 13.55055 11.02903 11.31061 12.30381 12.54599 13.94664 13.53971 13.29417 14.64221 13.89266 14.74018 16.82738 
+  9.589171 12.47112 11.4502 9.131975 10.2197 10.17758 11.90142 12.39148 15.51737 16.71535 15.28426 13.4031 11.43478 11.36541 12.49403 13.41569 14.58072 13.76381 13.98231 14.93766 14.71383 14.92337 16.24941 
+  9.503296 10.60735 9.271545 9.716817 9.667707 10.52781 11.40006 11.39293 14.60591 15.02798 15.03264 13.64719 11.30165 10.74731 12.65038 13.62129 14.64687 13.53882 15.08017 15.38536 14.1648 14.99333 16.10574 
+  9.115908 11.43826 10.47298 10.14771 9.880108 9.726262 10.82772 12.05128 14.10969 15.54203 15.91383 13.69349 11.85291 11.131 13.34072 14.18404 15.38566 14.57817 14.72091 15.19623 14.41386 14.31567 15.83257 
+  9.310917 10.28504 9.811528 10.01983 10.05451 9.4747 10.45637 11.62435 13.92147 16.01029 15.57332 13.24274 11.89735 11.36156 13.09891 14.07911 15.26106 14.44157 15.20087 15.08729 14.25182 14.66974 15.79354 
+  9.030734 10.77806 10.31404 10.89988 11.18181 10.48961 10.15753 11.69851 14.42295 15.29466 14.48458 12.67693 11.36603 10.84135 11.80535 13.1063 15.03863 14.38514 14.50504 14.37171 13.37179 14.37903 15.7146 
+  7.50856 11.28577 10.72007 10.24735 10.17675 10.65663 10.4188 11.49671 14.89423 16.14469 14.11847 12.56653 11.28391 10.65832 11.76379 12.46559 14.1188 13.54819 13.30948 13.31488 13.49415 14.57029 15.60327 
+  8.540401 11.55971 10.55634 10.50483 10.84564 11.33433 10.85704 11.34962 13.89402 15.64289 14.49759 12.96604 10.80758 9.884405 10.34586 11.19268 13.79956 13.10055 13.12975 13.08347 12.67242 13.66006 14.28579 
+  11.08979 14.00895 13.28101 13.3758 13.54885 12.20103 11.48327 11.56215 13.08175 15.66193 14.28371 12.17407 9.616703 9.735795 10.51737 10.66526 12.92028 12.44681 12.94642 12.86102 11.83186 12.5984 13.619 
+  13.14398 15.67154 15.34065 16.24163 15.0646 12.54676 11.68441 12.30696 13.41859 15.11965 13.7802 11.35566 9.2933 9.63155 9.780502 10.87477 12.77262 12.19879 12.55715 12.45354 11.55077 12.7023 13.38533 
+  14.07658 16.64854 16.01492 17.56435 15.44176 13.57488 11.04171 12.65898 13.55481 14.86006 13.82938 10.95063 9.030316 9.329757 10.07974 11.01514 14.26132 13.92831 12.94692 12.58781 11.56843 13.6175 14.11914 
+  14.75746 16.99999 16.77552 18.02952 15.90656 14.6823 12.81055 14.08961 14.8099 15.94903 14.67507 12.65691 10.4475 10.15641 10.20949 12.54788 15.05997 14.94959 15.0851 14.83846 12.45193 15.8906 16.3022 
+  15.11706 17.16695 16.8549 17.89547 16.15163 14.86321 13.19364 14.13913 14.60327 15.88921 14.64402 11.80295 9.991564 9.918747 10.29794 12.53781 15.5761 15.41474 14.87424 14.64059 12.25671 15.93182 16.2683 
+  15.40835 17.45925 16.58469 16.7639 16.27665 14.75572 13.4018 13.85402 13.12921 15.10079 14.71053 11.99744 9.913205 9.705381 10.4648 12.13035 15.2068 15.025 13.92012 13.05841 12.5278 16.01011 16.19179 
+  15.45827 17.28377 16.69241 16.92484 16.34339 14.48242 13.334 13.81861 13.36756 14.88102 14.33365 11.80426 9.697133 9.240011 10.16598 11.92516 14.61208 14.43869 14.29321 13.34631 12.60551 16.59318 16.53483 
+  15.13229 16.73378 16.89245 17.1393 17.00265 14.96519 13.72409 14.02927 13.25723 15.83806 14.40103 12.19008 10.30029 9.71996 9.842927 12.35917 14.15221 13.89012 14.0526 13.6017 11.93211 16.53617 16.72011 
+  14.57705 15.6379 16.80176 16.86314 16.66628 14.47865 13.58029 14.06467 13.77963 16.02653 14.70159 12.60434 10.41194 10.06278 10.46712 12.41631 14.66149 14.67236 13.84786 12.99362 12.37743 16.0895 16.24062 
+  14.77465 16.17302 17.21569 17.31233 15.77169 13.20695 14.42118 14.81845 14.40012 16.4256 15.06712 12.46396 10.4278 10.54279 11.23261 13.11649 15.14829 15.03464 14.55053 13.6049 12.95183 16.86971 16.66895 
+  15.05606 16.52065 17.57998 17.69038 16.2915 14.25601 14.84489 15.36414 15.11178 16.8064 15.81776 13.49685 11.06283 10.37466 11.31837 13.62332 15.70944 15.07266 14.53792 14.15806 14.11397 17.4218 17.03832 
+  14.91461 16.54216 17.72679 17.76228 16.31701 14.88375 14.68025 15.63748 16.55472 17.25992 17.16825 15.38784 12.14931 11.18112 11.89017 14.01893 16.31654 15.77574 15.18395 14.93204 14.24931 17.65414 17.32909 
+  14.06235 15.76193 17.18796 17.04869 16.16309 15.03378 14.50389 15.27548 16.01657 17.05204 16.83701 15.13547 11.94728 10.58079 11.4934 13.36317 15.81689 15.14827 14.4666 14.55218 13.48098 17.22405 16.73607 
+  12.20449 13.63824 16.85458 16.60645 16.1426 16.12964 15.33291 15.36466 16.87278 18.04861 17.6068 15.85586 12.63215 11.99263 12.60324 14.04203 16.81243 16.22995 15.30362 15.6595 14.4412 17.11238 17.13072 
+  10.72764 13.3548 16.83893 16.19029 15.82427 16.1692 15.66567 15.07302 15.77989 16.54188 16.30075 15.60935 12.34325 10.73788 11.86701 13.85012 16.31892 15.11082 14.34861 14.96774 14.47254 14.20635 15.01912 
+  11.60129 14.09942 16.75742 16.20039 15.56324 15.11675 15.08574 14.86573 15.50838 17.15246 16.86691 15.52252 12.93029 10.73168 11.6597 14.13603 16.52929 15.7967 14.49399 14.30547 13.43089 14.71824 14.45458 
+  14.02859 15.28391 15.8077 15.34497 15.03183 15.79032 16.02132 15.8215 15.79886 17.51942 17.64467 15.42086 12.91273 10.42257 12.27133 14.28747 16.08209 15.12793 13.71037 14.9558 14.61221 14.93433 14.82792 
+  14.18848 15.49555 16.91608 15.82519 14.52658 13.71498 16.10671 15.94508 15.64377 17.88175 17.91087 15.55968 12.45656 10.9743 12.02333 13.80416 15.67876 14.38375 13.71993 15.67794 15.32651 14.47271 14.63666 
+  12.46225 13.96751 15.86773 14.64494 14.40544 14.4847 15.3736 16.16685 15.92646 17.85421 18.09699 16.27834 12.37715 10.08867 11.90742 13.48527 15.4419 14.10502 13.62834 14.96597 14.83753 15.32119 15.06888 
+  13.05211 14.65883 16.07732 15.72431 14.58461 14.83052 15.30428 15.05263 15.02916 16.23183 15.43935 14.29991 11.75905 11.07148 12.31495 13.43882 14.98901 13.66362 12.9674 14.51913 14.48279 14.95528 14.8023 
+  12.55515 14.89801 14.75364 14.68671 14.14907 14.13834 14.59004 13.6544 13.79198 16.03756 16.11797 13.08031 11.24561 10.83997 11.88435 12.2136 13.93883 13.77705 12.87251 14.5708 14.71351 14.24566 14.39286 
+  13.83093 15.56555 14.57585 14.22723 13.8579 13.36604 14.29341 13.54445 13.8807 14.93316 14.51684 12.76485 10.79458 10.58632 11.6082 12.35924 13.70661 13.07612 12.48223 12.69072 12.71655 12.41708 13.33185 
+  14.18465 15.79808 14.80991 14.02056 12.90899 12.66223 13.70633 13.82998 14.50648 14.96112 15.03471 13.67727 10.52017 10.59638 11.55017 11.89342 12.99354 12.42688 11.95904 12.05783 11.865 12.08287 12.86125 
+  13.25803 14.87615 13.40272 12.26935 12.22413 11.50442 12.41747 13.64918 15.23524 15.79496 15.65018 14.92247 10.86561 10.38056 10.77693 10.56645 12.19267 12.05079 11.84969 12.24822 11.36017 11.14598 12.25312 
+  12.45111 13.44244 13.22482 12.22398 12.6735 12.62569 12.88445 12.80736 13.84655 14.60308 14.62763 13.62638 10.40659 11.13378 10.61906 9.895057 11.55708 10.91639 10.84196 11.58675 11.38106 11.41171 12.38584 
+  11.51846 12.357 13.54436 12.86645 11.85491 11.5113 12.90373 11.86775 12.45533 13.17408 13.00485 11.74634 9.947218 9.551273 9.567058 9.890096 11.33025 11.05918 10.6337 10.56511 10.17946 10.49385 10.70985 
+  10.98355 12.91067 13.64736 13.10762 10.84069 10.44838 11.49005 13.12592 12.14138 12.09276 13.07966 12.63638 9.730008 9.848679 9.347866 9.414342 10.63352 10.80758 10.35773 10.48653 10.42719 11.00619 10.87458 
+  11.5681 13.21478 13.99549 13.15111 9.779534 10.84289 11.58694 12.34813 12.21469 12.28861 12.12051 10.8032 10.08394 10.18741 9.829264 9.272332 10.70571 10.90198 10.80318 10.46099 11.22602 10.77159 11.26807 
+  10.92434 12.3015 13.37657 11.97633 9.846909 10.4243 11.08952 11.22303 10.78325 12.41337 12.66613 11.84448 9.250697 9.51819 9.804947 9.046823 10.62793 10.31114 10.24323 10.33592 10.83164 10.2066 10.32049 
+  10.66577 12.14629 11.68034 9.369942 10.3728 9.903213 10.77546 11.68394 11.14858 12.63394 12.94571 11.37593 10.00287 9.558322 9.845166 10.15729 10.41532 9.908718 9.831599 10.41129 10.63024 10.63221 10.3509 
+  11.6184 13.30724 11.55282 10.44678 10.41798 10.1706 10.90822 10.41916 10.55029 11.9752 13.67633 11.79162 10.79402 9.887626 10.8025 10.48727 10.37634 10.34983 10.57088 10.24781 10.26391 11.38719 11.21457 
+  12.47586 13.6613 11.17755 10.26591 9.585545 8.900165 11.20114 11.92466 11.11244 11.51987 12.53722 10.63915 9.778065 10.18182 10.7475 10.43095 11.06562 10.47551 9.800613 9.590487 10.01961 10.74588 10.42597 
+  10.77701 12.82747 11.43204 10.35398 8.763439 9.405526 10.82308 10.63848 11.23412 12.39658 12.69621 11.6574 9.802265 10.72791 10.38412 9.456212 10.21749 10.77777 10.52131 10.53893 10.67069 11.10977 11.42564 
+  11.11245 11.89655 11.72092 11.20401 9.289854 9.801051 10.75733 10.49686 11.86391 12.7017 13.00109 11.37016 10.12052 10.20385 9.899943 10.12168 10.17335 10.37608 10.25884 10.2047 10.5204 11.22245 11.59654 
+  10.07293 9.634727 11.54807 11.43805 9.092267 9.683016 10.62169 11.24899 11.31559 11.98399 12.95545 12.45842 10.71746 10.80228 11.2789 9.754478 10.40236 10.25889 10.37339 9.958531 10.25048 11.00226 11.04672 
+  10.42046 11.45978 11.63636 10.63461 9.173406 8.947865 9.959992 9.868871 11.08009 11.51371 12.75934 12.10706 11.59692 10.57697 11.32946 10.17161 10.1469 10.40671 10.2813 10.1093 10.52484 11.39623 11.14704 
+  10.24291 11.15639 10.16661 9.884758 9.216879 9.206462 10.319 10.26303 10.83201 12.79486 13.33239 11.75389 10.45811 9.76089 10.24667 9.601921 10.60552 10.51551 10.36004 10.27134 10.3252 11.17595 10.70015 
+  9.422491 10.00307 9.304786 9.541505 9.374505 9.497077 9.545082 9.764844 10.62842 12.44954 12.87034 11.195 9.428076 10.17063 10.55802 9.774949 10.74514 10.18642 10.23282 10.14036 10.41611 10.48228 10.65022 
+  9.431662 9.925019 10.80831 9.614099 8.896067 8.509177 8.498697 8.813649 10.72018 11.46818 11.79037 10.94821 10.24577 10.29312 10.4467 10.298 11.07519 10.74677 10.3395 10.43149 10.75678 12.64705 11.43539 
+  9.448807 10.96071 9.576197 7.308518 8.883255 8.301652 8.766844 8.846759 10.22622 11.76619 12.58748 11.67644 10.72528 9.9915 10.21584 10.17676 11.38863 11.19318 9.839796 10.4516 11.10404 13.23044 11.87121 
+  10.62994 11.5706 10.67056 9.265289 10.66641 8.995152 7.84528 9.58221 9.973509 10.98804 12.24823 11.57158 10.72447 10.14804 9.541183 9.675903 11.06965 10.92531 10.45405 11.09323 10.41595 11.13436 11.58708 
+  10.39545 11.44841 10.55975 9.705544 10.74701 9.747647 8.344221 10.04484 10.6118 11.2215 12.51557 12.40113 10.53294 10.54167 10.73098 10.17531 11.36208 11.10819 10.5466 10.93015 10.72956 11.21366 11.42109 
+  9.808684 10.54995 8.585596 8.609066 9.104267 8.886292 8.315665 9.341417 10.22613 11.00258 12.79302 12.32948 11.03078 10.42751 10.86653 10.40495 11.54998 10.99841 10.25156 10.56426 10.5004 11.59432 11.25886 
+  9.783687 9.554473 9.224267 8.305874 9.829804 8.624431 9.106644 9.878937 9.975676 11.34404 12.81888 12.35782 11.02464 10.09095 10.79956 10.69735 11.30436 10.86825 10.91094 10.57113 10.4626 11.75406 11.67169 
+  9.964293 8.91133 9.597994 8.38109 10.30375 10.12096 9.371438 9.138732 10.23402 11.95144 12.71362 11.4016 10.57952 10.13566 10.54746 10.2636 10.74369 10.67116 10.78272 10.88782 11.01974 11.17345 11.2694 
+  7.987907 8.382757 9.251793 8.551911 8.960312 9.169497 9.091488 10.20918 11.97596 10.86922 12.52002 12.28877 10.51484 10.44818 10.56632 10.83528 10.84797 10.92687 10.48957 10.72594 10.87492 11.48538 11.44997 
+  9.208866 8.503493 9.972482 9.071673 9.462955 8.664878 7.662143 9.897245 10.64185 10.91716 11.13872 12.12932 11.36929 11.34245 11.2402 10.83909 11.03287 10.97415 10.68303 10.55697 10.5056 11.69601 11.68266 
+  9.830456 7.644547 9.789823 9.708093 10.68528 10.30543 9.51989 9.725322 10.94882 11.60964 13.0219 12.9686 12.24573 11.09353 11.58634 11.25884 10.88388 10.70734 11.0613 10.88753 10.72593 12.06754 11.55765 
+  10.1434 9.600281 9.03609 9.28277 9.389798 9.782507 9.522714 9.155346 10.51925 11.83723 12.88527 13.05917 12.5973 11.04044 12.4058 11.76693 11.41435 11.29793 11.33523 11.57119 11.21824 12.67894 11.60467 
+  9.044415 9.35461 8.125829 8.155436 10.21073 9.420408 8.485256 9.519516 10.80159 11.03508 12.98993 12.86469 12.11976 11.60614 11.22908 11.30737 11.26812 11.07872 11.49184 12.23885 12.01657 12.81706 11.95831 
+  9.557627 10.25238 8.452591 8.784152 10.9992 9.823544 9.510536 10.38744 11.27521 11.65287 13.02484 12.76013 11.33446 11.90731 11.69084 11.35221 11.25088 11.1325 11.48025 11.96735 11.96839 12.37707 11.87469 
+  10.23095 9.161502 8.99103 8.923839 9.805343 9.837078 10.10092 9.621623 10.84666 11.88772 13.02984 13.09626 11.90776 11.65839 11.98773 11.63274 11.56222 10.86827 11.27272 11.77922 11.91178 12.68476 12.05236 
+  8.874165 7.809851 8.695865 8.223797 8.763299 9.566321 8.770155 9.008782 11.19149 11.83618 13.52786 13.19089 11.91928 11.96163 12.16576 11.49836 11.79749 10.94192 10.88142 11.00608 11.66361 12.51995 11.84705 
+  8.437733 8.480018 7.988172 8.590461 9.420288 9.875575 9.504238 9.388609 10.90206 11.65753 13.35867 13.6816 12.48646 11.95356 12.16133 11.43572 11.42155 11.1403 10.60003 11.26259 11.62654 12.52154 11.82845 
+  9.964341 8.923758 9.201259 9.687395 9.499485 9.23505 8.127786 8.023572 10.40248 11.75716 12.92915 12.92148 11.44932 11.59385 12.10262 10.90831 11.27934 11.05236 10.57544 10.54616 11.69068 12.66987 12.08684 
+  7.982019 9.21278 8.003357 9.466326 10.96768 9.979166 8.679527 8.800684 10.64961 10.21235 12.66046 12.89555 12.06681 11.04834 11.27791 11.41866 11.11113 10.78568 10.56767 10.6112 11.04461 12.21314 11.62118 
+  8.391383 9.194236 9.299546 9.597569 11.07862 9.571204 8.833894 8.325615 10.67207 11.36724 11.90812 12.3979 11.69843 11.26144 10.98187 10.62434 10.55542 10.79755 10.96708 11.02939 11.2887 11.80884 11.33321 
+  8.614913 7.849565 7.212549 9.800451 10.48496 9.617368 9.147942 9.296861 10.13177 11.20514 12.3896 11.95667 11.57815 10.64794 11.444 10.93266 11.42423 10.72211 10.74878 10.75023 10.98787 11.26347 11.04169 
+  7.535953 8.379319 8.465982 9.019888 8.474906 8.644684 9.380523 9.011086 9.468113 10.66582 11.96134 11.67335 10.88397 10.53693 10.82633 10.25402 10.21263 10.32749 10.5247 10.19471 11.01541 11.35801 10.77586 
+  8.953902 8.443554 8.80369 8.623836 9.60961 8.834076 8.999572 8.835788 10.4686 10.42089 11.60229 11.5832 11.33114 10.05566 11.09636 10.20237 10.258 10.62062 10.48857 10.14489 11.40099 11.07088 10.64445 
+  8.500578 8.544858 7.815175 8.512371 8.136365 8.380095 9.461661 9.8258 9.200838 10.49927 11.48638 11.7742 10.49608 9.742468 9.315075 9.044184 9.661458 9.323888 9.979736 10.51669 10.50003 10.75289 10.55279 
+  8.140522 7.9291 8.467335 7.948473 7.84909 8.878713 9.228608 9.341762 9.541382 9.544453 9.793461 9.858119 10.06971 9.451279 8.51177 8.683918 9.586095 9.493937 10.0905 10.45376 10.50862 10.45298 10.89592 
+  9.174277 7.910554 8.41324 7.574174 8.196404 8.136746 8.121965 7.858237 8.164356 9.198856 10.01476 9.891054 9.341989 8.451241 8.975142 8.96706 9.390165 9.745036 9.87119 9.820464 10.01453 10.3652 10.31961 
+  9.053761 8.623909 7.898996 7.378081 7.484929 8.12253 7.869719 8.111196 7.660993 7.883986 8.894523 9.96628 9.412325 8.602212 8.978284 9.126224 9.584894 9.770082 10.27369 10.15531 10.25294 10.89211 10.43277 
+  8.431073 9.066086 7.605909 6.630337 6.98281 6.810944 7.623994 7.17003 7.13573 8.053357 9.209491 9.415495 8.662474 9.053435 9.397181 9.446578 9.86334 10.01845 10.17869 10.7758 10.44624 10.38814 10.5821 
+  8.942445 8.941487 8.016459 8.513492 8.322972 7.758252 7.450797 7.878129 7.665907 7.39168 7.762891 8.652268 8.399451 8.6668 9.206373 9.121785 10.34451 9.926603 10.24554 10.46929 10.76244 10.86812 10.72856 
+  8.17054 7.23271 7.703678 7.791962 8.005906 6.999223 7.472554 7.710637 7.925411 7.891777 8.577125 8.739526 8.736339 9.344995 9.341995 9.167021 10.40602 9.640493 9.765063 10.79863 10.77817 10.97881 10.41767 
+  8.539558 8.259498 8.565295 7.196165 6.610144 8.112316 7.271636 6.927933 7.946772 8.102273 7.875247 8.079875 9.375752 11.33052 10.81717 10.21815 10.39465 10.33572 9.731151 10.2445 10.49189 11.12053 10.76395 
+  8.240433 8.050691 8.147851 7.085478 6.498564 7.444286 7.85869 7.59498 7.437051 8.215886 8.160721 8.345738 8.091083 9.35317 9.591409 9.448403 10.31442 11.06631 10.24245 10.9984 10.90544 11.08032 10.89513 
+  8.550308 7.967917 8.127562 7.298366 7.333465 6.49415 7.352107 7.673339 7.976416 7.147206 8.484519 8.401263 8.720249 9.223616 9.384628 9.444779 9.571202 10.1814 10.25545 10.58296 10.57897 10.69769 10.3299 
+  8.480454 8.143271 8.400046 8.316236 8.42107 7.541131 8.236753 8.256838 7.837097 7.3845 8.376999 8.782026 8.372799 9.166592 9.061806 8.605547 9.607065 10.09919 10.09029 10.41691 10.74461 10.34597 10.42431 
+  8.515889 7.59104 8.670294 8.427706 8.82935 8.922324 7.844193 8.359896 10.19205 11.45637 11.92006 11.58537 10.71724 11.57984 12.44317 12.37348 11.76033 10.8328 10.71005 12.17016 13.12123 13.49667 12.32615 
+  9.425822 7.528139 8.268925 8.60403 9.334135 8.938853 8.31205 8.903502 10.90029 12.15107 12.53318 12.27021 11.24565 12.047 13.05301 12.96288 12.37509 11.36883 10.95156 12.79793 14.03581 15.59215 14.59917 
+  9.623832 8.175732 8.02983 8.535868 7.534457 7.092595 7.973546 8.616755 9.133872 9.538013 9.353437 10.20192 10.09133 10.06388 10.93718 11.69838 11.60221 10.81748 11.46689 14.67081 16.11157 18.09854 18.4955 
+  9.071504 7.593831 8.569519 7.444993 7.027435 7.670381 7.727194 8.79417 8.78412 10.26749 10.49481 10.5346 10.10987 10.96909 11.81418 12.57517 12.30537 11.48952 13.16938 15.3521 18.07163 19.78831 20.41618 
+  9.247075 8.342739 8.020856 8.513025 8.168929 8.344195 8.860204 9.17792 10.17791 11.50909 11.07768 11.59347 11.83874 13.10125 13.83476 13.61449 13.87037 13.02653 13.97317 17.72324 19.60029 21.56919 21.07852 
+  9.474851 6.999008 7.357038 8.650279 9.284972 10.27271 10.72347 10.36143 11.41015 11.70805 12.40401 12.9837 12.64802 14.57075 15.13742 14.90884 14.86531 14.43093 15.03153 18.73455 20.89188 22.41504 21.75938 
+  8.43823 7.602589 7.820417 9.932999 10.68121 10.14239 10.38401 10.35759 12.41399 12.78729 13.28866 13.30149 12.69712 15.16579 15.84278 16.40749 16.29351 14.39652 16.20181 19.23029 21.44838 22.89708 22.22457 
+  8.946985 7.907045 8.086035 9.623978 11.20953 10.96355 11.34051 11.00923 13.56718 13.85 13.94107 14.30479 14.27669 15.13896 16.49326 16.82891 16.4699 15.615 17.10016 20.28425 22.26842 23.02636 22.56798 
+  8.171475 8.090663 8.552567 10.50998 10.79045 10.79585 11.77593 11.28996 13.5619 14.10327 14.95813 15.71215 14.54693 15.72432 17.80629 18.37472 18.3487 16.05388 17.43175 20.30505 22.645 23.84378 23.11084 
+  8.994973 8.401255 10.09553 11.87671 11.69541 11.35841 11.40016 11.24762 13.69226 14.48686 14.93769 14.94588 14.56451 15.99824 18.65324 18.06892 17.89767 16.18208 18.38502 20.50726 22.87932 22.78703 22.46937 
+  9.782323 8.487134 9.374578 10.02132 10.83674 10.82025 10.9053 12.09562 13.35448 14.63213 14.8919 14.47755 14.00885 15.77607 18.01674 17.6033 18.13421 16.40895 17.83689 19.94169 22.52357 22.9064 22.88938 
+  9.201106 9.515572 10.08597 10.27731 11.7706 10.57605 11.69659 11.87735 13.37034 14.23273 14.85306 14.77176 14.40004 15.35916 18.42156 17.62954 17.38562 16.92805 18.14824 19.61706 22.00475 23.03317 22.16275 
+  8.748121 9.011187 9.970596 11.7954 12.21095 11.81142 11.55084 12.17591 13.77476 14.28944 14.6072 13.23592 13.31399 15.84934 19.25628 18.41424 18.67715 16.80241 18.52868 20.36193 21.57055 22.12268 21.53455 
+  8.204464 8.748878 10.92591 11.5593 13.19048 12.10626 12.02502 12.05263 13.87249 14.59625 14.2399 13.71816 14.30343 15.58732 18.69723 18.77998 18.86568 17.82364 18.05045 20.36054 21.73694 21.81034 20.88315 
+  9.566998 9.260836 10.80363 11.55462 12.66976 12.26979 12.27326 11.70452 12.91361 13.86102 14.35423 14.02273 14.13222 14.11232 18.20366 18.85984 18.12046 16.65557 17.61575 19.08671 20.27447 20.7323 19.79643 
+  9.615409 8.908094 10.52764 12.07648 12.35761 11.91719 11.31676 10.78619 11.90151 13.13435 13.57572 13.40028 13.16485 14.1586 17.97005 18.6574 17.49142 16.61602 16.97221 18.26481 19.8641 19.66534 19.13474 
+  9.518407 13.66414 14.68301 12.44051 12.49297 11.79643 11.65911 11.69031 11.55598 11.38682 13.41629 12.76745 13.40397 14.54726 16.66532 17.59948 16.87245 15.5036 16.39759 17.45155 18.24678 18.04825 17.68169 
+  9.886844 16.85537 18.44436 16.27383 15.36497 13.84907 13.35042 12.87622 12.51681 12.60914 13.06418 12.81159 12.38205 13.68456 16.01586 16.22343 16.41093 15.50471 16.12335 16.51148 17.60962 16.92897 15.91486 
+  9.932881 17.91137 19.72267 16.92243 17.54066 16.3813 13.78773 13.66247 14.68949 11.97803 13.91343 13.337 12.36077 13.84169 16.9629 16.03707 15.96878 15.15771 15.55823 16.98711 16.99094 16.69534 16.27666 
+  9.659884 18.09613 19.96937 17.05172 18.13224 17.0855 14.13896 14.20781 15.18947 12.32284 14.15654 13.44278 11.52995 14.65633 17.3638 16.08185 14.93075 14.58424 15.63039 16.85744 16.92874 16.18911 15.86921 
+  9.225732 17.84486 19.66064 16.73664 18.33948 17.20544 14.32049 13.99798 14.7793 14.12439 13.80436 13.0112 10.64079 14.43213 16.94347 15.76767 14.88731 14.56431 14.75913 16.57955 16.82982 14.99926 14.78576 
+  9.978578 17.50287 18.95299 15.45618 18.21201 17.02547 14.4027 13.69167 14.05373 14.97102 13.77975 12.47722 10.86374 13.84392 16.04429 14.79358 15.0554 14.68087 14.3245 15.75972 15.80098 14.99877 15.23887 
+  10.18868 17.52852 18.87184 15.18826 17.86486 16.54828 14.55269 13.6402 14.14156 15.5371 13.91196 12.7452 11.54375 13.17193 15.15623 14.38001 14.19828 14.53728 13.81415 15.57458 15.68111 14.43799 15.17661 
+  9.751181 17.77567 19.34327 16.0554 17.61001 16.27066 14.56316 13.73765 14.17065 15.73401 13.81508 12.20863 11.4907 13.34967 15.23476 13.96594 13.74054 13.87504 13.52333 15.54135 15.94359 14.1128 15.21993 
+  10.12562 17.83921 19.52574 16.31928 17.54741 16.23771 14.63482 13.75617 14.15524 15.65129 13.92926 12.40173 12.0656 13.88922 14.18397 13.18738 13.58043 13.53881 13.6731 15.04371 15.07353 14.68031 15.49483 
+  9.599173 17.72381 19.33587 16.07591 17.93183 16.65643 14.42071 13.79618 14.27678 15.20349 13.67884 12.52839 12.27971 14.40655 13.7573 12.9882 12.78122 13.05482 13.01771 15.88482 15.94137 15.41255 15.99297 
+  9.698954 17.42312 18.87054 15.56586 18.05615 16.68462 13.77028 13.44723 13.88304 14.32237 13.28011 12.27115 12.59856 13.77862 13.29578 12.70767 12.83421 13.53693 13.18715 15.76992 15.76956 15.14107 15.93729 
+  10.26758 17.18085 18.16345 14.96107 18.03324 16.52345 12.76308 12.70064 12.66801 12.16031 13.20089 12.79833 12.22538 12.70561 13.22355 12.84058 12.97821 13.38026 12.87051 16.21716 16.48619 14.9863 15.6656 
+  10.44387 17.23746 17.66788 14.44783 17.53398 15.96145 11.02331 12.6539 12.60111 13.22309 12.45506 12.53511 12.75447 13.26548 13.35413 13.15652 13.2005 13.69604 12.86835 15.36887 16.235 16.85772 16.54977 
+  10.23759 17.50456 18.4933 14.91491 16.87596 15.31868 10.46777 12.26849 12.64224 12.68833 12.15624 12.53137 13.16832 14.12793 14.15696 13.49824 13.72296 13.93223 13.8926 16.50182 18.04177 18.58524 18.28993 
+  10.35166 17.05918 18.34675 14.85144 15.89987 14.52373 9.76105 11.89735 12.64335 14.01029 13.73979 13.24587 13.72216 15.26234 15.57124 15.82822 14.74431 15.00797 14.97392 17.71632 19.5425 20.54453 20.59761 
+  9.555297 15.74934 17.18219 13.77729 15.08703 13.69022 10.26886 10.90417 12.99767 13.61335 14.09484 13.58124 14.1276 15.82747 16.31124 16.64211 16.18265 15.21884 15.42664 17.76999 19.3903 20.87875 20.63521 
+  8.862854 14.02321 15.96503 13.04325 13.75009 12.35207 10.97646 11.18398 12.65906 13.14713 13.12646 13.15454 14.30518 15.27275 15.80141 16.52305 15.9915 14.97509 15.27901 17.70121 19.40024 21.01748 20.90414 
+  9.332595 14.84705 16.37164 13.3482 13.17087 10.29789 10.88544 11.37841 12.42703 13.47049 13.44906 13.32345 14.28644 15.11956 16.00913 15.9466 15.03316 14.63348 14.81898 18.33994 19.95979 22.53777 21.45701 
+  9.877868 15.61059 16.83839 13.17729 12.35922 10.87731 12.04013 11.68683 13.13918 13.59089 14.2367 13.87884 13.71417 14.67861 15.89329 16.04236 15.43196 14.25506 15.13684 17.87797 19.84326 21.79107 21.3449 
+  9.140958 14.76068 16.10624 13.06766 13.47845 11.71019 11.03197 11.56545 12.67004 13.27332 13.428 13.15621 14.76991 15.18839 16.24062 16.5626 15.80795 14.79566 15.80218 18.18081 20.55774 22.59585 22.16014 
+  9.849629 12.1764 13.81905 12.20043 12.96303 11.37443 10.69466 11.47991 12.80477 12.91667 12.75835 13.21933 15.38656 15.95259 16.823 16.35283 16.43909 15.31986 16.49224 18.66559 20.4817 22.71685 21.85016 
+  9.36202 14.08019 15.09082 12.18999 12.97359 12.29903 11.47363 11.54493 12.6398 12.84276 13.85428 13.64815 15.08565 15.69742 16.96827 16.94289 16.80222 15.64644 16.48269 19.1488 21.81447 23.17466 22.23106 
+  9.57612 15.02501 16.06492 12.43449 13.88631 12.50848 11.44948 10.40349 11.57291 13.3126 14.31746 13.71188 14.76625 16.03081 16.07044 15.89003 16.94098 15.98808 16.14021 18.78211 21.02096 21.56885 20.88732 
+  11.78685 15.01811 15.52112 13.93588 14.43564 12.86158 11.35952 11.50686 11.3272 13.30817 13.81913 13.40519 15.05978 15.84919 15.35929 13.89001 15.52159 15.23993 15.40555 17.11906 18.97794 19.44685 18.4641 
+  13.22307 17.17885 17.15026 17.71776 17.11022 14.76405 13.44761 13.67636 13.50036 13.58129 13.95018 13.70605 14.88567 15.03857 14.84337 14.45563 14.86374 14.4649 14.85144 16.43289 16.89828 16.35405 16.94752 
+  13.76669 17.1444 16.05253 18.63818 17.65204 16.25583 13.92566 13.3862 14.08959 14.32102 14.93346 14.31664 14.22204 15.10196 14.79939 14.6737 15.79121 14.93165 14.95335 16.65422 16.83254 16.26995 16.42411 
+  14.16293 17.56638 16.68997 18.26259 16.92739 16.86658 14.25883 13.70589 14.65646 14.7077 15.98879 14.10393 13.49225 14.60994 14.55858 14.16977 16.02258 15.63895 14.65991 16.49418 17.11003 16.32096 16.05037 
+  15.02538 17.72275 16.8508 18.08271 16.43288 16.42471 14.93453 14.1509 15.1513 14.99477 16.14239 14.24235 14.14056 14.526 13.32078 13.45539 15.79795 15.33149 14.69157 15.69744 16.36747 15.60381 15.84035 
+  15.73365 18.03275 17.27561 18.75753 16.95327 15.80555 14.91612 15.18357 15.67709 14.97079 15.72672 15.15915 14.04085 14.47075 13.372 12.99742 14.7936 14.90177 14.24704 15.20238 16.2678 14.74167 16.11823 
+  16.26338 18.46109 17.27797 17.99683 16.66476 16.05012 15.40509 15.53155 15.96098 15.33267 16.30002 15.72512 14.53671 14.58817 13.3534 12.64955 14.37179 14.83991 14.59077 15.26721 16.07784 14.28749 15.199 
+  16.74382 18.91121 17.16111 18.04957 17.40871 16.48565 15.41961 15.17963 15.49974 15.08093 16.65548 15.9269 13.91849 13.88327 12.97235 12.65223 14.07203 14.75737 14.22784 14.64774 15.34663 14.63228 16.0888 
+  16.98529 19.11541 16.87011 16.74349 16.9392 15.88544 15.29093 14.62053 14.88953 15.09566 16.51639 15.45968 13.03472 13.23992 12.823 11.87619 13.33451 14.86192 14.20521 15.69702 15.84917 14.75232 16.39235 
+  17.02896 19.19595 17.16109 16.8834 16.3556 15.42284 14.74861 14.76104 14.92473 14.9596 16.6881 15.93081 13.33428 12.97397 11.86678 11.63746 13.04319 14.28844 13.94617 15.04595 15.0869 13.90257 15.89565 
+  16.85907 18.78141 16.70892 17.00507 15.92624 15.45061 14.55362 14.95892 14.77704 14.90913 16.98108 16.19264 12.85906 12.48413 11.65127 11.22398 12.58972 13.57485 13.65335 14.72739 15.04537 13.98265 15.01211 
+  16.64772 18.64282 16.71573 17.18554 14.0683 13.95587 14.57919 14.46328 14.58978 14.59518 17.19131 16.57361 11.92534 12.44241 11.72602 10.9928 12.40186 12.90819 13.48149 13.89237 14.56885 13.63314 15.65915 
+  16.43158 18.50433 16.55654 16.99913 14.52069 14.72103 15.24015 14.21969 14.87307 14.52989 16.81562 16.34734 11.70553 12.3317 12.12857 10.71785 11.98174 13.78292 13.32322 13.64274 14.45671 12.9734 15.85995 
+  16.15336 18.23414 16.24944 17.09164 15.74857 15.23684 15.1064 14.90766 14.93522 14.25292 15.3692 15.24385 11.05891 11.63416 11.56629 10.73565 11.83266 13.19534 12.7056 12.56191 13.70245 13.0052 15.80045 
+  15.78317 18.05012 16.20395 16.93727 15.87394 15.19709 14.3524 15.32856 14.63064 14.19885 14.98944 14.75296 10.62751 12.19092 12.06983 10.93399 11.87565 13.48435 13.07779 12.09982 12.47317 12.27248 14.84082 
+  15.39456 17.87456 16.5168 17.58305 15.61139 14.72246 13.21522 14.96642 14.20902 13.41669 14.09352 13.92773 10.64034 11.88319 11.45076 10.29098 11.03321 12.29812 12.70397 11.7358 12.26939 12.86226 14.78897 
+  15.02351 17.78964 16.85471 18.13364 15.47449 12.54772 11.64264 14.01794 14.02666 13.12667 13.50438 13.3572 10.43241 11.16833 10.74877 10.2707 11.00853 12.42801 11.92629 11.09674 11.43357 12.86431 14.27416 
+  15.09622 17.92495 16.85561 18.0988 15.42922 13.02023 12.68088 13.53072 14.48343 13.28728 12.15022 11.93546 9.953141 10.79692 10.91492 10.17909 10.60862 11.80252 11.56975 11.04416 11.2531 12.42208 13.60621 
+  15.60607 18.24389 16.80309 17.81159 15.3917 13.49877 12.40576 13.14706 13.09449 12.85986 11.56458 11.51797 9.652337 9.949935 10.32372 9.620278 10.69048 12.02814 11.59302 11.66032 11.30074 12.12424 13.24895 
+  15.90996 18.41689 16.64116 16.99631 14.64567 13.13194 12.07542 12.5822 11.69349 12.01927 12.62355 12.76301 9.990061 10.90189 10.44079 10.43505 10.66998 11.15739 10.76031 11.42792 10.89405 11.56491 12.52887 
+  16.00483 18.30446 16.08208 15.86133 13.48314 11.61676 10.97823 11.11799 11.98649 11.92625 11.69026 11.50517 9.732758 11.60136 12.52013 10.93729 10.51151 10.81287 10.82617 11.56538 11.44386 11.92824 12.41918 
+  15.85966 18.15599 15.9375 14.95248 13.4534 12.87702 10.83218 10.35821 11.16184 9.718279 11.04042 10.5775 9.815519 11.36835 11.88853 10.33835 10.50751 11.11677 11.1463 10.79816 10.42655 11.12749 11.29204 
+  15.60883 17.95237 15.71562 14.06708 12.83226 12.50489 11.20979 11.6847 10.72093 10.36459 9.917531 9.80342 9.078652 10.03732 10.6124 10.40085 10.80684 10.88086 10.69822 11.10227 10.46698 10.97048 11.10912 
+  15.2283 17.69786 15.57806 13.4353 12.19316 11.6246 11.0224 10.72823 9.161061 9.050728 9.18773 8.855824 9.341613 10.0488 10.13517 9.546819 9.585426 10.50744 10.39803 10.67031 10.51961 11.0685 11.14912 
+  14.64353 17.16451 15.15834 12.35796 12.72608 12.63046 11.68167 12.3668 14.25992 15.93695 17.47775 17.61803 15.56757 12.9737 13.57319 14.56981 13.7044 12.71877 12.86225 13.4201 14.1629 15.60515 15.65097 
+  14.06131 16.47077 14.28449 12.84858 13.9689 13.82744 13.50231 13.78073 15.74885 17.04282 18.63243 18.85933 16.36653 13.78124 14.21553 15.24145 14.55391 13.56051 13.44235 13.90322 15.24372 16.40675 16.67416 
+  13.27166 15.83467 13.93871 14.37551 15.34901 13.98736 12.92254 13.76627 16.36158 17.10549 18.30305 19.29653 16.39378 14.40754 14.97054 15.40539 15.09013 14.31383 14.41104 14.81105 16.28816 17.46544 17.82826 
+  12.96865 15.35536 13.58534 12.4107 13.17324 13.02235 12.97369 12.78875 14.50413 17.08331 17.24843 18.6091 16.95518 13.8684 14.65208 15.11388 14.85909 14.55639 14.21002 14.85613 16.15392 16.62638 16.38885 
+  12.74014 14.99901 13.14317 12.02542 13.41206 14.03033 13.80731 13.07016 15.74668 17.29949 18.08332 19.69819 16.80057 14.75249 15.27074 15.78106 15.3902 15.52286 15.18476 16.46467 17.64916 18.49447 18.44848 
+  12.97496 15.42951 13.52378 12.25876 12.9795 12.56979 12.22692 13.57497 16.76153 17.23584 17.87868 19.12806 16.46191 14.3858 15.09691 16.4803 16.39127 15.58957 15.17072 17.00169 18.0875 17.41795 17.79514 
+  12.85048 15.10298 13.23063 12.87181 13.15208 14.49708 13.07669 14.13431 17.66776 18.05823 18.7889 19.8481 17.92514 14.92354 15.70432 16.74818 16.99346 15.81199 15.74879 17.21499 17.70545 17.515 17.36108 
+  12.53143 14.44646 12.04487 12.66221 12.77981 14.32154 14.07838 15.03848 17.27874 19.03686 20.9606 21.08079 18.90958 15.76664 16.3242 16.48548 17.68536 17.00244 15.70976 17.18387 17.96568 17.45182 17.34422 
+  12.27433 14.13071 11.95814 11.10963 12.29782 13.32947 14.22352 14.91252 17.05256 19.26613 20.56975 21.0718 19.55671 16.45315 16.53867 17.16694 17.57012 16.58561 15.94327 18.1118 18.44273 17.04756 17.29078 
+  11.13274 13.31547 11.17836 10.36571 11.99675 13.38614 12.98195 13.65712 17.52398 18.83635 20.82496 21.25018 19.02944 15.45844 17.22033 16.9855 17.61625 16.53855 16.01951 17.28067 17.80919 16.29823 16.60528 
+  11.49348 12.72149 11.09698 10.74121 11.50064 13.47943 13.28319 14.12894 16.37674 18.3519 20.4639 21.47652 19.33566 15.77035 17.06349 16.64114 18.07568 16.64302 15.36201 16.04336 16.91956 15.94561 15.99434 
+  9.608139 11.75429 10.06571 11.10138 12.11786 11.58483 13.1205 14.21301 17.56386 19.13147 20.32322 20.12503 18.29022 15.28772 16.86212 17.37056 17.82328 16.0193 14.99997 15.78904 16.12305 14.55896 16.01875 
+  10.37425 13.20676 13.2479 12.19929 12.48866 11.74895 13.30715 14.54824 16.49951 18.31167 18.70988 19.54097 18.35619 15.11479 16.51697 15.98994 17.09819 15.56539 14.59282 15.14828 15.75255 14.43601 15.72609 
+  12.24577 13.50046 14.6557 13.99299 13.82843 14.16929 14.48501 15.5354 17.66883 19.51937 19.39577 20.05754 18.37926 15.92839 17.23025 16.90665 17.33165 15.74956 14.90289 15.95183 16.37263 14.70161 16.83718 
+  11.82463 14.14506 14.91792 15.10521 13.43633 14.76357 14.50471 16.30964 18.37582 20.10591 19.70662 20.12249 18.50193 16.44523 17.84676 17.22989 18.06538 15.9933 14.78116 15.97121 16.63473 14.1447 16.62147 
+  11.49515 12.57675 14.99955 15.12591 14.04319 14.90118 15.1428 16.90608 19.3396 19.58758 19.89336 20.47232 19.38027 16.83281 17.80051 16.78543 17.68006 16.1482 15.12499 16.29321 17.28958 14.39812 16.74356 
+  12.83119 13.36858 15.33085 15.8993 14.98862 15.06884 16.27656 17.09787 19.89 19.45495 19.66687 20.41065 20.05285 16.93578 17.84101 17.22516 16.6539 15.47889 14.51853 15.41234 16.16337 13.92638 16.21105 
+  12.24501 13.81182 15.54418 15.71802 14.7434 15.25031 16.42093 16.59528 18.99483 18.75741 18.65719 19.56692 19.45428 16.5445 17.94703 16.85806 17.52571 15.87006 14.62513 16.25237 16.75192 14.53815 16.44307 
+  12.43977 14.4055 15.44666 14.61817 14.49417 15.49514 16.47301 15.8417 18.29481 18.40584 18.14786 18.99505 18.48756 16.02132 17.57674 16.21739 17.56367 15.96092 14.12129 15.69186 16.08254 13.29479 15.69123 
+  13.40359 14.56592 14.56405 14.75467 14.80557 15.61075 16.30825 16.00495 17.7576 17.7054 18.44081 18.78086 17.91715 15.75736 16.79029 16.09669 16.95103 15.45958 14.6285 16.45296 17.08261 14.81537 16.62719 
+  13.40314 14.79066 14.44038 14.9208 15.28192 15.93543 16.12896 15.63424 17.53443 16.71537 17.66586 18.26663 18.14948 15.38054 15.57821 15.0981 16.37489 14.9254 14.11771 16.22453 16.63408 13.88445 16.03982 
+  13.27263 15.37152 14.98211 15.65071 16.10147 16.25443 16.39878 15.22288 16.07312 15.48051 16.95177 17.88365 17.64783 15.38212 14.85438 14.25418 15.50375 13.87315 13.85102 15.71543 15.58055 13.48126 13.54171 
+  12.79769 14.03458 15.15382 15.77783 16.13641 15.98903 15.71088 14.83081 15.42676 14.42686 16.35059 17.19747 15.89601 14.84456 14.84353 13.56014 14.43848 14.02768 13.56937 15.50516 15.01935 13.35548 13.45835 
+  12.93903 13.22154 14.53004 14.98958 15.29645 14.57587 14.04077 13.26272 15.32759 15.32236 15.08416 15.42689 14.78734 13.71587 13.79163 12.75518 14.19596 13.34965 13.19663 14.03743 14.96614 16.49541 15.33635 
+  12.45864 14.61374 13.87632 13.62215 13.72294 14.31611 14.38086 14.30659 15.43989 15.61096 14.15577 14.35514 14.81355 13.64131 13.45614 12.72456 14.13968 12.8555 13.59385 14.17748 16.39845 18.38371 17.80732 
+  12.33578 14.00891 13.07828 13.71424 14.10664 14.0687 13.13889 13.63885 14.8914 14.61784 13.90929 15.45194 14.73162 13.03892 13.2657 13.5637 13.76148 13.25706 15.10444 16.29706 16.97831 19.44946 19.79165 
+  11.96159 13.51957 13.01035 13.54761 13.69153 14.00353 13.68937 12.58661 13.48017 14.13214 13.91707 15.31068 14.23771 12.71703 12.92456 13.6957 14.43063 13.71029 15.22686 17.15446 18.45062 20.47192 20.89673 
+  12.05161 13.9109 13.16452 12.97099 13.18609 13.13105 12.99765 11.58859 13.5218 14.01596 14.89017 16.47881 15.28746 13.67678 14.92654 14.96245 15.16147 15.0592 16.54627 18.17285 20.02958 21.51884 20.96085 
+  11.84209 13.52904 12.77278 13.65398 13.20718 12.63755 11.65749 11.51693 13.74348 13.71783 15.14928 15.87488 15.38048 14.01578 15.41916 16.25989 16.82 15.85239 17.44685 18.49073 20.68714 23.03419 22.3119 
+  10.61903 12.43421 12.6958 13.1518 12.79633 12.09934 11.18174 12.15249 13.5683 12.78554 14.49859 16.1356 16.38138 15.60392 15.1943 16.6934 17.43444 17.15856 17.69735 18.73776 20.3603 23.0533 22.83157 
+  11.10656 11.3087 12.01439 12.55888 12.73079 12.43724 11.43508 11.91604 11.70938 13.99057 15.63961 17.28322 16.47677 15.20305 15.66617 17.61813 17.6751 17.60305 17.77451 19.25667 19.94949 21.90983 21.98059 
+  10.16949 12.0564 11.52991 9.989189 11.37004 11.68872 11.52673 12.63663 12.73647 14.62583 15.9687 17.945 17.5506 15.1612 15.45209 17.22151 17.94404 18.35554 18.20267 19.54291 20.5292 21.7872 21.39606 
+  10.79198 11.45736 9.874234 11.29701 11.26837 11.21837 10.89179 11.62866 12.76508 14.6835 16.18573 17.36658 16.85448 15.94918 15.41981 17.08667 18.88033 18.45577 17.89176 18.7529 19.93383 20.91602 20.71407 
+  10.99965 11.83611 10.76372 12.36669 12.88359 12.50686 12.02554 11.77562 12.96449 14.7419 17.49727 19.05647 17.76691 16.14889 15.8502 16.94702 18.54008 18.61212 17.60375 18.40122 18.75871 20.56727 20.2013 
+  10.71721 12.24653 11.40098 12.01936 13.33127 11.90686 10.65947 11.82579 13.32248 15.28793 17.01124 18.64284 17.72797 16.53176 16.11108 16.70494 17.7008 16.87293 16.90321 17.01193 17.9865 19.62047 18.54438 
+  10.84808 11.77401 10.30343 12.64884 13.14566 11.23923 10.88098 13.11721 13.34063 16.31784 16.83382 18.21345 17.3839 15.27081 15.50685 15.6567 16.72981 16.33526 16.45064 16.3113 16.49539 17.15864 16.46489 
+  9.56905 11.07326 11.29717 12.00945 12.56924 11.74636 11.67797 12.27109 12.33903 15.01359 17.29026 17.98109 16.23312 14.9431 14.57544 15.20214 16.10517 16.19224 15.99478 15.25868 15.40402 16.06674 15.44316 
+  10.508 10.89142 10.47173 10.95241 11.76593 10.98585 10.76927 12.52917 13.36483 14.31004 15.60877 16.93384 15.8426 14.30149 13.70551 14.91785 15.92855 15.53096 15.40199 15.04334 15.08857 15.01525 14.25574 
+  10.63981 10.66823 10.20522 11.10935 11.52312 11.02348 10.33216 11.91914 13.66731 13.93949 16.71332 17.01327 15.03499 14.47763 14.38019 14.41362 15.83647 15.67047 14.47045 14.31423 14.19904 14.82268 14.1559 
+  8.488654 10.10538 10.92675 10.09366 10.85918 11.26827 12.20304 11.80998 13.27558 13.73623 16.86435 16.49012 14.37312 13.21352 13.43559 13.28338 14.71591 15.0856 14.91768 13.89271 13.95088 14.00356 13.01124 
+  10.81898 13.143 12.69162 12.18221 12.55161 11.64523 12.4468 13.02303 11.64384 13.77602 16.63419 16.27282 14.54465 12.69009 12.62936 13.17467 13.86224 14.07909 14.24895 13.57493 13.15678 13.56058 14.07112 
+  11.59634 16.15282 16.04291 14.96902 14.3159 12.56915 13.37283 13.76863 13.54054 15.07096 17.31351 15.84202 14.1527 12.01037 12.44869 12.54331 13.90306 14.87695 13.81047 14.15678 13.85537 13.21027 14.43797 
+  11.50468 16.01534 15.65023 16.86644 16.7308 13.15539 13.75249 14.19167 14.84136 15.6804 16.669 15.56741 13.27599 12.18581 12.46388 13.30746 14.70786 14.89385 13.59378 14.1329 13.90083 13.44039 14.82801 
+  10.83374 15.32171 15.06138 17.48699 17.51079 13.80905 13.93069 14.59176 15.34084 16.82994 18.43996 15.90578 13.45436 11.4224 12.79343 13.04898 15.73146 15.33158 13.21905 14.24352 13.77445 13.27233 15.71018 
+  10.87577 15.47127 14.70888 17.73984 17.70155 15.23704 14.3281 14.20854 15.22783 16.9904 18.81393 15.66493 12.64094 11.61629 12.53687 12.72079 15.53799 15.56939 13.56948 13.97123 13.99972 13.84164 15.74528 
+  9.678106 15.093 14.73196 18.04266 17.9735 15.98976 14.84349 14.29395 15.38192 17.14681 18.48132 15.55414 11.81447 11.31875 12.51214 13.46786 15.07734 14.72639 12.89217 14.18221 13.942 14.46083 16.30935 
+  9.27702 15.11397 14.6864 18.26455 18.06617 16.64905 15.23202 14.50276 15.79894 17.31784 17.91948 15.71456 11.84832 11.10479 12.36307 13.02193 14.84241 13.94248 12.61262 14.14687 13.61714 14.61513 16.65529 
+  10.31116 15.20001 14.41779 18.20655 17.87181 17.37104 15.80053 14.73345 16.33781 17.26945 17.61073 15.76432 12.14948 11.87968 12.84734 13.35572 15.99964 15.05299 12.98151 13.59093 13.31608 14.26525 16.48788 
+  11.03995 15.58457 14.74849 18.04535 17.62146 17.83399 16.13437 15.02326 16.80089 17.59974 17.02293 15.01341 11.93478 12.57936 13.6127 14.46719 15.84169 14.35661 12.21926 13.44742 13.43839 15.56678 17.01775 
+  10.68538 15.81025 15.13098 18.21277 17.8306 18.10699 16.28154 15.16807 17.16661 18.57889 16.92452 14.87336 11.62055 12.73409 14.09998 15.07829 15.77258 14.38338 12.46635 13.38107 13.42031 15.66041 16.70012 
+  10.80705 16.10119 15.46497 18.4098 18.0212 17.97135 16.10877 15.19762 17.24214 18.58634 16.91249 15.42679 11.88585 13.91432 14.45943 15.74949 15.78372 14.54293 11.42183 13.62915 13.34823 14.55129 16.14689 
+  11.94579 16.89884 16.24403 18.55092 17.98724 17.20735 15.26665 14.65565 17.00868 18.47542 17.43419 16.03572 12.83943 14.0368 13.85004 14.82996 15.17481 14.47794 11.56922 13.58228 13.62983 13.59302 13.86895 
+  12.38524 17.37505 16.7696 18.47446 17.26857 15.96833 14.24874 13.03042 16.26422 17.79273 17.16697 15.42565 13.5957 14.48988 15.57542 16.0727 14.58922 13.24106 11.54757 13.28529 14.40883 13.49071 12.73336 
+  13.03429 17.5047 16.87468 18.99148 17.70904 16.97621 14.13228 12.62222 14.45247 16.32981 16.61537 14.76507 12.27121 13.29012 13.69145 14.77818 13.90872 12.32405 11.65774 13.06149 13.20633 12.79723 14.08691 
+  13.543 17.20046 16.71364 19.24344 17.89848 16.23823 13.61446 12.58731 13.79848 15.94572 15.83083 13.94334 12.33336 12.76893 13.26038 13.66663 13.53549 12.52763 10.97694 12.18569 12.12396 12.52927 14.61442 
+  13.93316 16.19917 16.60253 18.37887 16.34868 15.3344 13.60281 12.46623 14.00873 15.9596 15.67228 13.47866 13.02688 12.05685 12.97747 13.6599 13.39636 12.42592 11.40474 12.42729 12.39029 12.35651 14.67778 
+  14.61915 17.17112 17.5472 19.37409 17.49985 15.90717 13.63423 11.95899 12.93315 15.14544 15.01936 13.25283 12.0639 11.61034 12.99201 13.5629 12.46684 11.77172 11.48846 12.21882 12.39871 12.28264 13.6378 
+  15.01957 17.45677 17.19109 18.36874 17.45291 15.49117 13.40853 11.98515 13.43848 14.47075 13.50971 13.02251 11.71136 11.68848 13.16979 13.33672 12.58453 12.35258 10.77152 11.58895 12.66962 12.02104 13.51065 
+  14.3445 16.08383 16.46618 18.37986 17.49754 15.51561 12.724 11.01192 12.56261 14.75061 13.70792 13.23755 11.97928 11.47003 12.88496 13.19709 12.51916 12.02072 11.23445 11.98222 12.57755 12.58092 13.76349 
+  14.65777 17.34103 16.21595 17.87756 17.01974 14.35497 12.22902 10.17611 12.75461 14.43687 13.74576 11.96353 11.00994 10.55103 11.22951 12.06966 11.58648 11.32696 10.70369 11.09274 11.97977 11.15652 12.0545 
+  13.84403 16.75669 15.79734 15.90669 15.87204 12.81713 11.09628 9.869988 11.99412 13.88495 12.05193 12.04093 9.865374 9.98888 10.54978 11.08329 11.51721 11.287 10.19415 10.19129 11.11317 10.82287 11.26695 
+  12.03434 15.45859 15.11167 15.11641 15.16317 14.43024 11.65586 9.923259 11.36602 12.3641 11.81006 10.42863 9.54241 9.423545 10.06809 10.60886 9.986245 10.09022 9.895988 9.939384 10.39964 10.69043 10.78549 
+  11.62159 13.6024 13.63344 15.00115 13.6637 13.22205 10.87602 8.768591 9.799749 12.06331 11.48621 10.03431 9.139547 9.069712 9.670283 10.33705 9.896729 9.732963 9.743416 9.657762 10.36899 10.26934 10.40027 
+  11.81183 14.29564 13.63866 13.6298 13.18893 11.65243 10.08644 8.713807 10.15905 11.12224 10.93487 10.20999 9.452074 8.578758 9.197603 9.436418 9.835726 10.35768 10.15316 9.921681 10.65349 10.78003 10.5952 
+  12.90228 14.67107 13.85628 14.29541 14.35086 11.63753 8.860591 8.425612 9.22795 10.41009 10.2974 10.03016 9.485574 8.96593 9.532566 10.04701 10.0559 10.14437 9.809213 10.09447 10.73098 10.48613 10.97839 
+  12.14247 14.62703 13.12694 13.76217 13.40734 11.91112 10.03432 10.69592 11.79923 14.96772 14.89136 11.78498 11.03141 11.00658 12.59778 13.80232 13.4921 12.70364 11.11213 11.89696 12.66712 11.61696 12.02989 
+  12.4993 14.9535 13.76636 14.01113 13.60918 11.75265 9.318426 8.455474 10.17039 14.04918 14.17533 10.41443 9.469222 8.986806 10.21098 11.43141 11.99639 11.92311 10.10373 10.33753 11.20988 10.83258 10.75896 
+  12.68394 14.34959 12.56896 14.07434 13.22602 10.90166 8.476089 7.972132 8.819757 12.4768 12.05638 10.18155 9.379935 9.701678 9.932637 10.54168 10.334 10.5734 9.954249 10.09657 10.31382 10.49024 10.26939 
+  11.75025 13.98052 12.16752 14.10251 13.03628 9.846658 8.836266 7.344621 8.59577 10.93273 10.1303 9.196149 9.388488 9.020345 10.06814 10.79366 10.47544 10.58243 10.03372 10.03065 10.42077 10.64656 10.34247 
+  11.83129 14.04893 12.96955 13.20662 12.82525 9.696637 7.323474 8.177329 8.925125 10.40487 10.10953 8.585592 8.994603 8.708897 9.25738 9.843696 9.578411 9.801521 10.00724 10.09079 10.59092 10.64287 10.58762 
+  9.790665 12.15129 12.64895 13.58438 12.95563 9.711924 8.575097 9.001645 8.701345 10.52208 10.09897 8.517282 8.199652 8.714253 9.041263 10.04511 10.11496 10.00863 9.805107 10.16271 11.0758 11.04546 10.75644 
+  9.414765 12.83946 11.98675 12.726 12.46979 9.267152 9.039246 8.176429 8.053612 10.21454 10.41292 8.622193 7.66354 8.369621 8.642668 9.53128 9.865145 9.638438 9.991666 10.25773 10.73875 10.72115 10.65728 
+  8.779566 11.93363 11.50436 10.50424 9.622196 9.267383 8.582248 8.53771 7.890744 10.04505 10.20443 8.095118 8.612964 8.879345 8.707826 9.227075 9.176577 8.984758 10.03803 10.03335 10.5386 10.95927 10.46486 
+  10.31262 11.88174 11.99282 11.90945 9.594206 8.671169 8.318475 8.181697 8.13483 10.15049 10.25244 7.071458 7.442567 8.785149 9.691864 9.679538 9.605824 9.961757 10.42259 10.17275 10.75009 11.18037 10.72504 
+  9.364248 11.96104 11.57661 12.01562 10.75383 6.945975 7.367255 7.736284 7.312432 8.969963 9.153383 7.523694 7.927206 8.369026 8.890183 8.625024 9.480546 9.502405 9.561119 10.14811 10.62848 10.7046 10.59589 
+  8.967705 11.99061 11.26416 11.1752 9.580898 7.045003 7.880908 7.853495 8.063289 8.442639 8.374674 7.542927 8.712921 9.363231 8.787829 8.940651 8.762001 9.656484 9.560316 9.75022 9.998157 10.96855 10.83991 
+  10.79417 10.95528 10.71563 9.979272 8.763993 8.042848 7.088778 6.67021 7.448594 8.206177 8.038567 8.22692 8.547086 7.783141 9.548368 9.043281 9.180702 10.15911 10.00978 9.834736 10.7707 10.82731 10.66534 
+  9.814768 12.13082 11.35585 9.269568 8.184406 7.729397 6.804678 6.910729 7.282489 8.309008 8.415974 8.394214 7.598199 8.050271 7.802004 8.228464 9.248132 9.948934 9.981988 9.834879 10.65781 10.51871 10.32499 
+  9.652328 11.7325 10.80005 9.37675 9.013214 7.384077 7.177258 6.372046 7.152434 7.877509 7.752526 8.609852 8.207765 8.032439 8.76918 8.827532 10.00151 9.213638 9.988755 9.774078 9.915665 9.921049 10.41844 
+  9.466437 10.99616 10.88723 9.492371 8.961466 7.342728 7.358507 7.339148 7.301462 8.448383 7.55255 8.734881 8.417077 8.13668 8.47903 9.036981 9.332474 9.148084 9.903509 9.827729 9.972055 10.26808 10.0221 
+  9.64337 12.05854 10.97252 10.21088 9.235108 7.101156 7.432653 8.052295 7.081014 6.580639 7.278504 8.679576 8.280871 7.73062 8.75071 8.532309 9.329696 9.757581 9.649004 9.204338 10.25986 10.47111 10.64369 
+  8.506092 11.0128 10.68274 8.38584 7.542353 7.152045 7.326688 7.308694 7.642912 8.45325 8.044881 7.742783 7.756063 7.661537 8.275199 9.033102 9.546831 10.0107 9.767799 9.575422 10.45731 10.67947 10.68756 
+  9.190603 9.530713 10.03561 9.930932 8.509491 7.016098 7.502091 7.892929 8.24372 8.307619 7.979042 8.022539 7.607509 8.970244 9.02056 9.152427 9.395686 9.654662 10.00138 9.774302 10.25611 10.34001 10.50237 
+  8.055989 10.48079 9.946203 8.668516 8.405702 6.663228 7.840029 7.953751 7.417573 8.407804 8.318707 8.09545 8.268252 8.237886 8.408285 9.147687 9.502143 9.359609 9.642401 10.35548 10.85097 10.35253 10.09162 
+  8.523983 10.58812 10.45586 9.346948 8.423094 6.955203 7.860735 7.061844 7.640428 8.098751 8.684567 8.348521 8.667695 8.787177 8.56147 9.256539 9.863892 9.601056 9.600217 10.26275 10.53992 10.67695 10.53019 
+  8.54944 10.105 9.919378 8.700562 8.344156 7.651311 7.920049 8.247942 7.364244 7.392271 7.95518 8.640728 8.450232 9.633104 9.684301 9.891527 10.32047 10.18789 10.04646 9.441429 9.973019 10.92726 11.09868 
+  8.736779 10.67164 10.37507 8.660881 7.410948 6.964188 8.062383 8.657798 8.175787 8.124825 8.552548 8.639585 9.223927 9.4434 9.095827 9.018662 9.108647 9.592525 9.690062 9.847681 10.15555 10.88235 11.25451 
+  9.102138 10.24407 9.305552 7.972584 7.585355 7.130199 8.330059 8.346169 7.620663 7.047201 7.893063 7.923952 8.201685 8.679209 8.079769 8.701505 9.398625 9.830337 10.10372 10.45054 10.39745 10.80141 11.24109 
+  8.334327 8.800347 7.70179 9.206788 7.814823 6.755373 8.229139 8.560562 8.269526 8.002664 8.831103 8.463894 8.141541 9.049789 8.658106 9.396982 9.033927 9.765074 9.622846 9.758422 10.27184 10.49305 10.98647 
+  8.128156 10.12106 8.910188 8.762326 7.666012 6.949401 7.950629 8.1798 7.218674 8.2833 9.230454 8.431417 8.010346 8.432215 9.385073 9.408096 9.264348 9.842328 9.402944 10.16326 10.44512 10.27258 10.61046 
+  9.777776 10.17425 9.162596 8.756527 9.402295 7.245045 6.706331 7.813528 7.5786 6.985806 8.648697 8.302122 8.295655 9.284019 9.676419 9.26071 9.179568 9.636398 10.1599 10.62567 10.66345 10.83598 11.00543 
+  9.4869 9.121305 8.684687 8.700015 9.641527 9.05888 7.269274 8.791707 8.11694 7.627497 7.894124 8.112581 8.470985 9.387035 9.151163 9.710186 10.16911 10.16346 9.604074 9.987885 10.31005 10.77668 10.24039 
+  7.866471 9.883156 9.715327 8.677911 9.516367 8.34246 6.843951 7.838072 7.583541 7.852625 8.79549 7.970304 7.762091 8.846987 8.563057 9.384929 9.697865 10.01375 9.721039 9.735113 10.16057 10.63224 10.43368 
+  9.080318 8.246053 9.041588 9.417509 9.518696 7.989542 8.403717 7.463982 7.206106 7.981693 8.578013 8.107899 8.514518 7.873508 8.147607 8.765822 9.033931 9.63969 10.04347 10.20652 10.35496 10.39911 10.52451 
+  9.13128 9.074238 9.046019 9.162777 9.203651 7.817907 8.81809 9.218652 8.689803 8.523691 8.246085 7.754849 8.768758 8.798193 9.144502 9.340219 8.860093 9.865606 10.48086 10.25486 10.56614 10.47177 10.82067 
+  7.529797 9.080559 9.025809 9.092778 9.069881 7.946015 8.707859 8.578739 7.658888 7.688912 8.116105 8.22648 8.638034 8.394612 8.661798 9.266599 9.497275 10.0152 10.51752 10.32173 10.39726 10.61129 10.75329 
+  8.053345 7.806293 9.592606 9.250229 10.12409 9.191865 7.827196 8.112508 8.535282 8.097424 9.000211 8.186003 8.92979 8.464402 8.670289 9.216187 8.820874 9.527074 9.87499 10.41622 10.59681 10.51637 10.55027 
+  8.95764 9.454929 9.582647 10.45938 9.56032 9.433331 8.428452 8.183547 8.032114 8.346304 9.071006 7.965348 8.02034 8.698916 8.684159 9.147419 9.093694 9.894665 9.954333 9.885933 10.35833 10.71119 10.45288 
+  8.644167 9.48673 9.193418 10.94477 10.83592 10.44026 9.28124 8.387064 8.084641 8.072067 8.342614 7.222877 7.512965 8.233858 8.808452 9.225642 9.137754 9.547808 9.455416 9.747941 9.971579 10.64146 10.5402 
+  9.362679 9.369581 9.729918 10.51496 11.36854 10.06961 9.509526 8.469991 7.580379 7.402191 8.035908 8.038517 7.526035 8.179871 9.229591 9.114322 9.371479 8.994488 10.0342 9.992566 10.37911 10.48729 10.1093 
+  9.234426 10.02822 10.1721 10.36807 11.38841 10.48724 9.894856 8.55321 7.932958 7.556772 6.919079 7.997473 8.420939 8.136166 8.576433 8.605513 9.379736 9.246395 9.551528 10.12443 10.13093 10.29004 10.01479 
+  7.140229 7.340988 9.690434 11.22617 10.54758 9.907132 10.23349 7.846205 7.38694 7.756484 8.138117 7.949685 8.286037 7.875541 8.682808 9.680047 8.736238 9.250605 9.806664 9.929686 10.29157 10.88262 10.53922 
+  7.609503 8.446361 7.927704 10.19232 9.981958 9.750368 10.16796 8.132822 7.723164 7.520811 7.855199 7.349501 7.666749 8.55197 8.498571 9.580915 9.49983 9.968874 9.624427 10.19383 9.79729 10.48853 10.77697 
+  8.643137 8.622834 9.379179 10.04107 10.14056 9.3327 9.441696 7.66965 6.918215 7.325087 8.433827 7.403569 7.932473 9.355262 8.961336 9.433534 8.987287 9.442863 9.373944 9.75194 9.910201 10.3459 10.44656 
+  8.102217 8.064889 10.64028 12.49552 11.73663 10.07672 9.110008 8.321954 7.095238 7.711002 7.663853 7.130478 7.74688 9.022202 9.092591 9.239534 9.148391 9.078291 9.648328 9.942706 10.50384 10.56971 10.62924 
+  9.490426 8.373809 10.40654 12.21494 12.46647 10.44266 9.246642 8.188566 7.077143 7.664156 7.372887 8.266142 8.489851 8.568101 8.872865 9.148156 8.987501 9.957211 10.15845 9.909985 10.00002 10.26888 11.01089 
+  8.798372 9.025386 11.31425 11.42679 10.40138 9.216152 9.422606 8.502447 7.214077 7.507916 7.581383 7.426453 7.74972 8.678537 8.401515 9.35175 9.522068 9.689368 10.34969 10.18144 10.10829 10.22423 10.66045 
+  8.333779 8.557695 11.21921 11.96504 10.46627 9.176018 9.10099 8.930181 6.847103 7.599282 7.893191 7.544654 8.840031 8.585423 8.405005 8.922948 9.007273 9.288807 9.946635 10.77755 10.62705 10.41732 10.66157 
+  7.559142 9.412998 10.48524 11.38948 11.17182 9.945296 9.195613 7.687301 7.509073 7.597322 8.275542 8.369865 7.823867 8.430854 8.52591 8.722355 9.220226 9.689714 9.526666 9.805052 10.34926 10.81544 10.53098 
+  11.4918 14.00084 16.17197 16.42617 15.349 12.41796 11.39773 11.66957 13.16477 16.12451 15.81399 11.20098 8.846268 9.76712 11.6804 12.1915 12.09149 11.27532 10.66243 11.10545 11.89396 11.18614 11.62189 
+  12.7754 14.8082 17.40473 16.74525 14.93741 12.71457 10.89088 11.37673 13.37231 16.26893 15.81663 11.01917 8.918041 9.566416 11.83768 12.05284 12.66729 11.85449 10.60257 11.00357 11.39586 10.96889 11.1296 
+  13.36541 15.34315 17.2086 17.66689 14.65784 13.48884 12.4741 12.45936 13.42722 15.72825 15.79719 14.43064 12.889 10.51247 12.3019 12.30175 12.62188 12.04293 10.42985 10.74694 10.95862 12.90817 13.67789 
+  14.24038 16.24807 17.4501 18.67464 18.25082 16.41788 13.84389 13.58693 15.07749 17.34456 17.16127 16.20167 15.06416 11.77578 12.49449 13.45164 13.06607 12.11281 10.48501 10.73691 11.01208 15.49132 16.34476 
+  15.46261 17.19522 17.5746 18.0107 18.14651 16.75021 13.80587 13.41014 14.9592 17.26956 16.178 14.19134 11.93522 11.6239 12.82757 14.12765 13.70803 12.50571 10.75355 11.29876 11.34688 16.21528 16.64844 
+  15.85424 17.58728 17.14469 17.19608 18.15673 16.2019 13.98389 14.04934 14.00954 16.88185 15.97725 14.16334 13.0995 11.42474 11.70505 13.47377 14.31889 12.8265 11.54771 11.79184 11.55733 14.441 14.84616 
+  16.01069 17.67813 17.21562 17.56873 18.24154 16.43555 14.16117 14.16953 13.69155 17.32711 16.4162 13.46104 12.36254 11.61799 11.27409 13.07141 14.62038 12.76868 11.54521 12.79095 12.39311 14.58929 14.84247 
+  16.09941 17.7363 16.53284 17.27621 18.18447 16.58593 14.33624 14.35762 14.19332 17.44104 17.00833 13.70702 12.45344 12.21988 13.11712 14.56761 16.01712 13.74598 12.13099 13.26468 13.10818 15.27417 15.56255 
+  16.42318 17.98415 16.44273 16.57448 17.62833 16.28909 14.36828 14.6948 13.78254 16.22694 15.95521 14.12572 12.26701 11.85083 12.46605 14.29742 16.13456 13.84185 12.26186 12.63923 12.99921 15.56506 15.71164 
+  16.66626 18.41392 16.23549 16.69583 17.69269 16.16858 13.91554 14.21553 13.17823 15.73793 16.4865 15.50647 12.3832 11.67269 11.71129 12.98511 15.19916 14.09333 12.14127 13.53028 13.66361 16.01434 15.8486 
+  16.93131 18.80218 16.81364 17.33029 16.89452 15.53996 14.12277 13.81145 13.03909 15.09264 16.55081 16.00311 12.3552 12.25566 11.77334 12.40888 14.75922 13.7299 12.90318 13.40209 14.23598 16.61812 16.00201 
+  17.09422 18.93463 16.77671 17.12045 16.87137 15.12399 13.50143 13.57805 12.80646 15.09097 16.1608 15.57011 12.32053 11.78571 11.45637 11.75474 14.11037 13.6446 12.81923 13.51655 14.85688 16.60715 15.62787 
+  17.18843 19.15834 16.90851 16.13819 16.45988 14.99436 12.40748 12.04965 12.14001 13.26226 14.0558 13.51968 12.57948 11.99215 11.86336 12.04673 13.09016 13.15625 12.4888 12.85295 14.979 16.59832 15.41977 
+  17.2978 19.31523 17.34639 17.72629 15.35329 13.78927 12.61048 11.38221 11.57769 13.06238 13.21393 12.3947 11.35336 11.29097 10.76642 10.99077 12.29214 12.08838 12.20228 12.01544 11.86961 12.86051 13.13075 
+  17.29455 19.39194 17.52913 18.08251 14.94142 11.73378 12.26912 13.0758 11.84843 11.48248 13.48376 13.39672 11.70031 11.98227 11.31891 10.61537 11.5765 11.5006 12.25064 12.40025 11.37915 12.90368 12.65543 
+  17.11082 19.30302 17.25127 17.65386 14.90019 12.53856 11.45692 13.26181 11.62685 11.53579 13.36939 12.93143 11.07778 11.12064 10.86599 10.39632 11.41168 11.49042 11.78741 12.00982 11.57957 12.68554 12.28857 
+  16.81596 19.11267 17.10374 17.62917 15.10644 12.49786 11.83172 13.11271 12.08539 11.51897 12.27075 12.25029 10.05081 10.51726 10.23621 9.723547 11.47403 11.38655 11.75697 12.38226 11.68046 12.32908 12.25521 
+  16.18891 18.7452 17.12043 17.90645 15.35898 12.87751 11.93357 11.34936 12.12841 12.00346 12.70253 13.15777 10.02708 9.598401 9.508228 9.663599 10.49346 10.55344 11.21704 12.04108 11.25043 12.10459 11.84318 
+  15.3587 18.25852 17.01021 17.94506 15.36013 11.68553 10.90639 9.600526 11.48932 11.83768 11.86593 12.23622 10.37516 10.22231 9.242025 9.690022 10.79908 10.51446 10.66708 11.09983 11.20814 11.95468 11.32153 
+  14.94686 18.0086 16.66558 16.91915 14.43537 11.78186 10.37191 10.1009 10.64833 11.51232 11.21707 11.44729 10.38132 10.89793 11.71739 11.39077 10.99349 11.08029 10.52239 10.70206 11.1781 11.64449 11.60586 
+  15.2814 17.80077 15.7858 15.0733 13.19273 10.99025 11.4507 10.23576 11.88874 11.69319 11.04233 10.65287 11.20542 12.47354 12.96547 12.31134 12.59687 12.5441 11.05464 11.68961 12.18429 12.52163 12.24349 
+  15.48732 17.81838 15.57828 14.95755 13.17332 11.15086 11.35037 10.27524 11.15464 11.83677 10.82353 10.86964 10.84648 12.2185 12.01063 11.35811 12.14788 12.13265 10.27622 11.16301 10.85313 11.33077 11.19722 
+  15.64028 18.04706 15.90875 13.46693 12.71794 10.47495 10.41679 10.41669 11.51304 10.97092 10.52732 10.51946 10.18956 11.28483 11.5248 11.06633 10.79301 11.08132 10.48834 11.23098 10.90977 10.93761 11.2342 
+  15.691 18.08693 15.95903 14.5647 13.08687 11.96817 11.98348 10.27445 10.82906 10.65066 10.7676 10.49903 10.69828 10.99068 11.62179 10.48239 10.64531 10.73122 10.30917 10.84842 11.01107 11.19445 10.96024 
+  15.70235 17.87411 15.54562 14.17106 13.73759 13.39945 12.94871 11.86754 12.32136 13.34113 14.04813 13.64429 12.8817 14.03526 13.78847 14.31763 14.08296 12.28475 12.26945 13.41342 15.16624 15.82314 14.65862 
+  15.111 17.38759 15.23328 14.86325 16.06344 16.10236 14.34899 14.72656 14.66246 16.20999 16.94175 17.2274 15.76645 16.78901 16.12683 16.99647 16.62846 13.99079 13.86968 16.12244 18.25901 19.34782 17.66724 
+  15.03301 16.61184 14.17075 13.25705 14.54141 14.69707 13.71418 15.49278 15.08241 16.18828 17.16152 16.65724 15.34151 13.99803 13.97429 15.01542 15.35275 14.87416 14.55297 15.45949 16.31717 18.42344 16.47798 
+  13.45951 15.78569 13.98534 13.04344 13.92377 14.24774 14.06853 15.00025 15.36809 16.57527 17.38427 17.02029 15.19632 14.64439 14.65536 14.64023 15.68649 15.49167 14.9104 15.35289 16.33175 18.0865 16.37584 
+  13.07347 14.7915 12.67954 13.23848 14.1819 13.9683 13.21752 14.69234 17.90232 17.24359 17.5149 18.04125 15.55333 15.03565 14.85524 15.23376 15.60953 15.83141 15.17968 15.23778 16.42048 17.88067 16.92698 
+  12.37712 14.9033 13.8624 13.76913 13.30324 14.3478 14.02929 14.99968 18.80645 18.39549 18.51047 18.57759 16.0035 14.5608 15.19788 16.24825 16.87722 16.25792 15.09623 15.11478 16.32289 17.68389 16.08194 
+  12.66646 14.60857 12.63233 12.64944 13.4228 13.81045 14.2454 15.89087 17.83408 17.56272 18.75677 18.45625 15.79576 15.1664 15.52465 16.30447 17.33408 16.53073 14.91176 15.41308 16.24126 17.18274 15.97926 
+  12.81794 14.79919 12.64581 13.73917 14.27735 12.86728 13.65656 16.11627 17.94633 17.98828 18.37813 18.78796 17.11118 16.00847 15.83047 16.21775 16.80949 15.5775 14.92074 15.60607 15.80383 16.84433 15.66324 
+  12.5034 15.02809 13.34704 12.59922 13.16282 13.18943 13.6498 16.22042 17.74181 18.11487 19.01717 18.76182 16.68096 15.37317 16.47843 15.88386 16.60799 16.23045 15.78561 15.60193 15.58282 16.25681 16.40265 
+  13.06095 14.47213 11.57626 11.60358 12.57563 13.76851 13.97735 14.38274 16.31401 17.55055 18.43916 18.5317 17.04531 14.99704 16.53685 17.02856 17.58887 16.26225 14.9763 14.45201 15.51912 15.21459 16.6817 
+  12.86505 15.85786 14.75419 13.01475 12.67307 14.4433 15.20655 15.15495 16.09785 16.51936 17.95182 18.31379 16.75537 15.01732 15.75735 16.82045 17.44093 15.66828 14.33217 14.62619 15.22149 15.17155 17.20671 
+  13.12523 16.5502 15.50594 15.34845 14.73641 15.80987 16.79601 17.06586 17.48354 16.89506 16.9989 17.87918 16.51353 15.33819 15.52597 17.10384 16.88856 15.24374 15.05034 15.51818 15.27853 14.60615 17.90415 
+  12.69545 15.62294 14.66864 16.31116 15.64141 15.63712 16.38996 17.50281 17.90165 17.66326 17.61484 17.62272 16.00488 15.10813 14.94744 17.00407 17.49522 15.62474 15.2027 15.69592 15.58376 14.26855 17.33854 
+  11.70221 15.91556 15.21819 16.73549 15.93421 15.34525 15.80453 16.35826 17.22446 17.98482 17.83851 17.86388 16.83107 16.10304 15.82976 17.13237 17.91541 15.26026 15.10075 15.98048 15.72246 14.22937 16.43557 
+  12.58039 16.54533 15.48762 17.14302 16.20825 15.26482 15.79737 16.80904 17.53083 17.92554 17.57588 16.92835 16.21835 16.24897 16.26789 16.09962 16.68681 15.19278 14.3501 15.73407 15.31177 14.58012 16.44425 
+  12.52427 16.68682 15.6768 17.41134 16.48487 16.26741 15.93352 16.79063 17.23722 17.75588 17.59963 16.55783 16.45605 16.19305 16.34012 15.8233 16.01214 14.49679 14.05411 15.83327 15.75738 14.70327 16.81463 
+  13.08901 16.92737 15.88609 17.48892 16.60913 16.92618 15.98914 16.84229 16.96335 17.23575 17.33563 17.23502 16.5829 16.31644 16.85165 16.5601 16.59091 14.8695 14.04865 15.1961 15.04456 15.03072 16.76081 
+  13.25131 16.82976 15.65168 17.33111 16.53403 16.99053 16.30228 16.67911 16.8145 17.26553 17.52997 17.40855 16.6225 16.19843 16.2693 16.43582 16.03738 13.90187 14.50136 15.9589 15.88366 15.52198 16.96512 
+  12.86011 16.4959 15.32254 16.57291 15.98928 16.51817 16.59031 17.21095 17.32273 17.24012 17.26693 17.4594 16.63605 16.95958 17.0414 16.83618 16.73441 14.66106 14.54188 15.98279 15.59871 15.42995 16.82753 
+  12.3734 16.38073 15.23618 15.71347 15.76168 16.80319 16.83652 17.01589 17.01722 16.75942 16.97372 17.74806 16.4648 16.73439 16.26514 16.33158 16.27448 13.83779 14.71891 15.37935 14.90931 15.09158 16.92881 
+  13.16311 16.98702 15.90418 16.86047 16.45071 17.14736 16.50004 16.52925 16.95103 16.78541 16.71283 17.1481 15.68781 16.3924 15.7757 16.42943 16.24413 13.86384 14.62436 15.48191 14.93738 14.84517 16.21951 
+  13.59746 17.23912 16.12656 17.50044 16.93601 17.43536 16.78477 16.41955 16.75596 16.41606 17.25539 17.49482 16.25328 16.44511 15.88677 16.52536 16.53255 14.46775 14.81169 15.79123 14.8385 15.43922 17.17949 
+  13.25004 16.94229 15.93826 17.73337 17.23859 17.89079 17.34496 15.97857 15.19893 15.15988 16.91029 17.25496 16.62859 16.25416 15.48432 15.56355 16.21918 14.83444 15.0622 15.81797 15.64522 15.32866 16.89268 
+  12.62537 16.47641 15.74364 17.85862 17.47602 18.16114 17.55453 15.95657 15.11439 15.08639 16.68707 16.74309 16.72464 16.83375 15.94381 16.12422 16.87457 15.30209 14.94832 16.63556 16.4691 15.57759 17.3871 
+  12.6226 16.10576 15.56736 18.04713 17.56757 18.11768 17.59097 16.34696 15.375 14.14986 15.13968 15.70977 16.85783 17.35108 16.21252 16.49694 16.90446 14.97466 14.87337 16.36794 16.10093 15.90252 17.58858 
+  12.7855 15.88645 15.67985 18.15505 17.37622 17.52381 17.42296 16.19477 15.50058 13.98604 15.38529 15.37528 15.93515 16.47197 15.3381 15.97862 16.40454 14.95582 15.0605 16.63037 15.63746 16.15078 17.13511 
+  12.65207 15.56413 15.72229 18.15676 17.02139 16.67873 16.7427 15.08276 14.19359 12.79751 14.48611 15.64405 16.11738 15.6327 14.42156 14.5413 15.50612 14.09361 14.9137 16.91826 15.45331 16.1494 17.52712 
+  12.56314 15.1539 15.81251 18.0403 17.20735 16.9832 15.43454 13.55827 13.10696 12.59839 13.23814 15.90523 16.60976 15.61129 13.46397 13.59857 14.55115 13.29045 14.68942 16.51844 14.84454 16.06714 16.90926 
+  12.64222 15.16426 16.14207 18.01224 17.03122 16.82287 13.88338 12.87623 12.53724 12.11878 13.98522 15.42566 15.64351 14.8041 13.28969 13.65548 14.46269 13.32662 13.92385 14.84129 13.31076 15.09256 15.82777 
+  12.85059 15.56986 16.29726 18.16373 16.31842 15.27977 12.30446 12.48871 12.05114 12.02475 13.32861 15.53581 15.44006 14.6188 12.19517 12.34837 13.52474 12.41385 13.52724 14.1898 12.92852 15.22741 15.49917 
+  12.59761 14.4621 15.45572 17.18511 15.81542 15.78824 11.84854 11.87338 12.32981 11.94361 12.86972 14.26315 14.89518 14.27585 11.97713 12.49144 13.58669 12.65414 13.09633 13.75735 14.88413 16.18767 15.3166 
+  12.64882 14.81147 14.45962 16.38583 15.72507 15.59489 12.376 11.95343 12.09104 11.86625 12.24266 13.68499 13.91463 13.24626 10.7595 12.1026 13.03325 11.85887 12.62869 13.85928 16.20368 18.33456 16.91249 
+  12.12053 15.05175 14.22981 15.73134 14.97451 14.68129 13.12028 11.97819 11.38219 11.20992 11.37042 12.24603 13.25563 13.08652 10.43595 10.82252 11.63596 11.33452 11.86574 13.24061 15.52648 17.4119 16.81245 
+  11.19065 14.21162 13.51477 14.70132 14.9847 15.25536 14.19143 12.48769 11.34493 9.814653 9.99059 11.53341 12.29802 11.784 10.16933 10.75036 11.20462 10.74964 11.48954 12.01296 13.41964 14.80476 14.38404 
+  10.00999 12.74599 12.14843 14.51654 15.13391 15.2609 13.72731 11.66748 10.16199 9.022615 10.54656 11.04408 11.06597 10.65407 9.941639 9.674333 10.40516 10.81487 11.25098 11.6855 11.23007 11.83496 12.85696 
+  10.08466 11.83495 11.54785 14.59242 13.85901 13.03223 12.44154 11.23707 9.762304 8.823195 10.68114 10.62345 10.76976 10.03955 9.436696 9.586202 11.22563 10.83237 11.0967 10.70838 10.57485 11.49634 11.70702 
+  10.48889 12.83749 11.55844 14.30776 13.98957 13.29756 10.27051 11.19239 10.73191 8.282329 9.798191 11.28903 11.10856 10.43637 9.679453 9.696969 10.23166 10.5042 10.2436 10.84797 10.9094 11.14272 11.04821 
+  10.19536 11.74172 11.33944 13.41399 13.06223 13.24977 10.40681 9.719469 9.504123 8.071562 9.28103 10.37499 11.08919 10.83884 9.125082 9.426393 10.12565 10.30615 10.62199 11.02502 10.98999 11.49767 10.76202 
+  10.88223 12.977 11.56636 10.88618 12.75476 12.96493 10.24409 9.20118 8.650577 7.399164 8.780226 9.993423 11.50119 11.16004 9.309609 9.911741 10.38707 9.787494 10.5507 10.78142 10.8794 11.07239 10.47661 
+  10.47173 13.69682 12.45944 12.35382 12.58801 12.46847 10.00025 10.27305 11.53972 12.61611 13.00516 13.0168 12.24968 12.74772 13.46355 13.35037 12.67452 11.07662 10.77348 12.34726 13.52226 13.54476 12.45269 
+  10.39999 12.38218 11.96567 12.83998 11.78783 11.14596 10.65086 9.983682 11.39105 12.32884 12.81081 12.60661 11.70481 12.39304 13.20282 13.14799 12.67365 11.12111 11.64005 15.3785 17.26889 19.2809 18.58731 
+  10.06194 11.97701 11.10652 11.85843 11.02539 11.2265 10.7828 9.873035 10.32476 11.25525 11.96012 12.71968 11.64478 11.76205 12.47315 13.18736 12.99789 12.38262 13.63724 17.6046 20.06792 21.4036 21.43807 
+  9.509731 11.85916 11.10777 12.50954 12.18235 11.80091 11.27237 10.29496 12.2601 12.32322 13.42 14.12483 13.16052 13.71877 13.45849 13.22503 14.22825 13.49225 15.37626 19.22064 21.55962 22.73142 22.24018 
+  9.15207 11.07175 10.86126 11.87928 12.69756 12.46886 11.5245 13.08445 13.88625 14.80505 14.99481 15.52319 15.05282 15.02273 14.87423 15.29251 15.91438 14.93134 16.80274 21.40077 22.54545 22.58663 22.29738 
+  8.860111 10.74111 10.50416 12.93807 12.55079 13.06175 12.17259 13.51095 14.48125 15.87022 17.08365 15.86352 15.00874 14.95488 15.34727 15.18754 16.02795 15.03839 16.93264 19.53366 21.6056 21.50261 21.28786 
+  10.75877 10.37344 10.58075 12.34408 12.94353 11.96778 11.4975 12.68404 14.95128 16.74927 16.77153 15.63198 13.98707 14.3226 14.68699 15.35497 16.36192 15.49951 15.98009 17.65331 18.19219 18.41393 18.1715 
+  9.39485 10.52738 11.42019 12.21228 12.45682 12.18025 11.33037 12.44518 14.51794 15.84477 14.62877 14.42839 14.07113 13.2896 13.65752 13.82688 15.6779 15.75582 15.67209 17.08607 16.55664 17.27306 16.92216 
+  9.381274 11.83695 11.8863 11.62455 11.99966 11.92766 12.16977 12.76743 14.2169 15.01731 14.82383 13.0397 13.42383 13.10484 13.42112 13.71131 14.73178 14.64882 14.79978 16.09834 16.16719 17.4647 16.77292 
+  9.585428 10.993 10.5035 11.81598 11.44083 12.43314 11.64416 12.2522 14.10823 14.41961 14.19406 12.61582 11.76546 12.10949 13.28017 13.21444 14.49621 14.27315 14.40105 16.25966 16.55149 17.44991 16.81313 
+  8.175888 11.18484 11.35472 11.47145 12.36835 12.95294 11.74024 12.37499 14.70968 14.42316 13.73902 12.62927 11.59597 12.07641 12.50259 12.79706 14.06515 14.19124 14.13676 15.15194 15.65369 18.23908 17.15416 
+  9.260625 10.70815 9.263671 9.806908 11.83224 12.31308 11.73443 13.4353 14.60034 15.05972 13.83386 12.88395 11.57649 12.02801 12.20291 12.59455 14.31687 14.47969 14.6405 15.52516 15.67438 18.1055 17.65921 
+  9.911335 10.50611 10.12131 9.937845 12.0217 12.06643 12.41577 13.58587 15.64432 14.32141 13.08726 12.30006 11.95351 12.71829 11.26942 12.65187 14.17917 13.53116 13.70112 15.10717 14.98607 17.59751 17.46946 
+  9.024209 8.987809 9.160165 10.86254 12.75719 12.29259 12.99271 14.01397 14.93609 15.38431 14.07591 12.15879 11.33199 11.99755 11.29723 12.28741 13.99432 13.90781 13.2847 14.09958 14.27385 16.84444 16.68974 
+  11.9299 13.47678 12.837 11.34953 12.98505 12.79702 14.93977 14.99091 14.8044 15.23901 13.70815 12.30987 11.19355 11.14724 11.14456 11.97139 13.38016 13.39131 13.10051 13.16111 13.63137 15.1045 15.48153 
+  14.41228 16.11685 15.7402 15.5474 13.80078 14.53132 14.65797 14.65964 15.91533 16.35481 13.96598 12.8188 11.46816 10.90168 10.61743 11.47446 13.77556 13.64553 13.89567 13.91599 13.57935 15.20967 15.69138 
+  15.08783 16.8548 16.49383 16.41818 14.09665 15.30241 14.7049 14.89885 15.83918 18.0921 16.22671 14.06109 11.65885 11.18969 11.55042 12.64634 15.04636 14.6538 14.17054 14.18222 15.13279 16.13375 16.41827 
+  15.16109 16.7801 16.56729 16.43837 15.12475 14.8846 14.26196 15.39288 16.01123 17.1432 17.07575 15.71479 12.39699 11.93664 11.86322 12.98023 15.49663 15.14287 14.6057 14.86261 15.40321 16.85805 17.07797 
+  15.09084 16.57223 16.80362 16.58635 15.20792 15.10697 14.90998 15.40153 15.35094 16.88487 17.96318 16.37918 12.55137 12.20782 12.30409 12.03328 14.67583 15.03111 14.56669 14.42755 15.211 17.10543 17.10053 
+  14.69408 15.81541 16.46612 16.37843 15.2229 14.59921 13.61355 14.3778 14.58977 16.18752 17.5792 16.62926 12.41473 12.08434 12.35257 11.9434 14.27981 14.79067 13.80497 13.96159 14.25573 17.45439 16.78282 
+  14.43095 15.41959 16.21408 16.07892 15.18807 14.0085 13.96235 14.37799 14.08463 15.0561 16.641 15.33981 12.0121 10.58257 10.67117 11.07191 13.45955 14.30978 13.5234 13.39615 13.00758 15.30398 14.59562 
+  14.58677 15.82187 15.58251 15.65558 15.2996 14.34471 13.48909 13.53928 12.62957 13.79965 15.50717 14.88582 12.17444 11.02395 10.55875 10.28314 11.87372 12.80804 12.80521 12.87114 12.06493 14.00245 13.72964 
+  14.95683 16.3266 15.16857 15.4292 15.51012 13.59986 12.23133 12.66695 12.21721 13.14255 14.3418 13.26337 11.4309 11.01019 10.59134 10.42654 11.62912 13.19194 13.29006 13.23644 11.81969 14.27526 13.76118 
+  15.59626 17.08241 15.06971 15.65379 14.82292 13.31317 11.43343 11.9617 11.85537 12.2777 14.29009 13.45866 10.72894 10.13381 9.537953 9.800446 11.53536 12.31185 12.60432 11.92848 11.34388 12.84455 12.54369 
+  16.04304 17.82648 15.79309 16.24393 14.73321 13.42411 10.97739 10.73002 11.65459 12.07827 13.2604 12.44436 10.10683 9.841578 9.451722 9.291868 11.41494 11.8923 11.88242 11.91761 11.27107 12.20158 12.1325 
+  16.25625 18.22469 16.04192 16.12708 14.96282 13.00054 10.65593 11.17855 11.14046 12.55776 12.52015 11.42063 9.433226 9.00628 9.585645 9.290247 10.70464 11.49628 11.68974 12.07785 11.17581 11.06459 11.13168 
+  16.04482 18.14673 15.86384 14.91284 13.05532 12.45239 11.72008 11.51588 11.29592 11.78518 12.2973 11.38977 10.29393 9.548064 9.722668 10.09043 10.84775 11.8718 11.26131 11.56782 11.02544 11.18756 11.03338 
+  15.26615 17.28764 15.16505 14.44016 13.28143 12.07429 10.97578 11.15899 11.50891 11.01097 11.61723 11.36335 10.16722 9.822009 9.901525 10.20638 10.18853 11.82158 11.44402 10.68624 10.50383 11.11971 11.41882 
+  13.81127 16.00517 14.23292 13.67491 13.21358 11.73995 9.486867 10.56567 9.862735 10.49043 11.29869 10.67811 9.464268 9.29777 9.709767 10.42091 10.48922 10.93209 10.42687 11.04964 12.2851 12.72577 12.39185 
+  12.14262 14.94287 14.0802 14.32626 12.80348 10.66512 9.237948 9.739904 9.596913 10.61011 11.65724 10.63011 9.505305 9.886621 10.47523 11.0215 10.59563 10.78076 11.00128 13.60528 15.06756 16.77889 16.86555 
+  10.83472 14.31258 12.90632 12.77348 12.20279 9.816229 9.277019 10.18015 9.096459 9.997322 11.51482 10.87203 9.44985 10.83187 12.01145 12.17475 12.17965 11.82202 12.18132 14.90107 17.46739 18.73794 18.04218 
+  11.36189 14.46365 13.13914 12.11007 11.7593 10.0019 9.75862 10.77737 11.03628 12.26316 12.78038 11.30242 11.24927 12.86973 13.40784 13.56777 13.70109 13.02316 12.83176 16.09006 18.6455 20.18859 19.64919 
+  12.72338 15.11341 13.32158 12.74039 11.63489 10.73177 10.17774 10.56085 11.74206 12.8467 13.64448 12.64196 13.06981 14.0199 13.50293 14.09397 14.45456 13.70243 13.05322 16.6385 19.08248 21.01362 20.21127 
+  14.20404 15.91786 14.92538 15.12413 14.77285 12.89441 12.79587 11.85586 12.40155 12.80069 14.29893 14.05416 12.61579 13.57712 13.58947 13.30546 13.65021 12.84343 13.35256 14.62488 16.85373 18.83813 18.01679 
+  14.53132 17.33943 16.26635 18.11593 17.92229 16.41659 14.97751 13.63034 14.93866 15.25947 16.20634 15.82948 14.33713 12.11738 13.05697 13.88322 14.07832 13.04026 13.09391 14.61522 14.58644 16.06195 17.62827 
+  14.11968 16.69542 15.12335 18.32276 17.78468 17.74669 15.92803 14.50374 15.56971 16.23568 16.50482 16.08389 14.88408 13.72153 14.5031 14.91234 14.72964 13.03544 12.99891 14.99354 14.95278 15.26584 17.54221 
+  12.58309 15.06906 15.59264 18.20675 17.21118 17.89225 16.83617 15.57529 15.21058 16.55922 16.91265 16.39316 15.46596 14.28004 14.31382 15.09121 15.5357 13.50103 13.16001 15.68369 15.05554 15.30483 17.25786 
+  13.38149 16.1832 16.11864 18.42098 17.48438 17.89621 18.30592 16.22846 16.11395 16.84072 17.24339 16.6131 15.43338 14.83396 15.42686 15.86161 16.32101 15.09858 13.3338 15.44106 14.9978 14.34465 16.55215 
+  14.37599 16.83687 16.94507 18.2267 16.84422 18.06699 18.55002 15.54701 16.76327 16.83081 17.27568 17.00946 16.32395 15.44895 15.63621 15.85781 16.74874 15.47261 13.73446 15.28013 15.02808 14.89976 16.14604 
+  15.05994 16.78429 17.38232 18.71122 17.29902 17.89909 18.18792 17.06817 16.19571 16.4189 16.93696 17.02257 16.01795 15.9466 15.9529 16.66254 17.07906 14.79625 13.80007 15.45906 15.62278 14.89583 16.3634 
+  15.31985 17.11125 16.90094 17.50673 18.12416 17.26594 18.61826 17.81363 16.92988 17.33131 17.22307 17.6853 17.16475 17.8327 17.79674 18.01369 18.75657 16.41342 14.83692 16.64419 17.08493 16.10439 17.74908 
+  14.81287 16.67113 17.24438 17.58853 16.56671 17.4409 19.14317 17.1272 17.22141 17.37194 17.30178 17.35553 16.81259 17.59592 17.2289 17.99676 18.54756 16.97488 15.1711 17.01239 17.41453 16.61493 18.02877 
+  14.10214 16.48185 16.70473 17.83863 17.09863 17.92168 18.60074 17.03748 17.01916 17.1662 17.45386 16.9503 17.22705 17.88758 17.25076 18.06163 18.82708 17.06891 15.6639 17.32082 17.86867 16.99368 18.4935 
+  14.47095 16.27239 17.20447 16.68737 16.69925 16.92639 17.55458 16.4129 16.37072 16.70506 17.13801 16.74328 16.66209 17.66596 17.03108 17.52262 18.5179 16.57609 15.3233 16.59836 16.57953 15.76227 17.69633 
+  13.24856 14.56392 16.16074 15.96923 16.11824 17.0615 17.37887 16.89696 16.49023 16.93359 17.04477 16.61666 17.3206 18.46787 17.4531 17.96162 19.10358 16.9934 15.63334 17.35444 17.27749 16.49334 18.51469 
+  13.37477 14.40732 15.3166 16.12179 16.0549 17.9857 18.24229 15.97747 16.51573 16.80781 17.66976 16.77187 17.07391 18.37435 17.8941 17.99025 18.43793 16.58463 15.94918 17.33995 17.58286 16.71625 18.26147 
+  13.93172 15.95009 16.12278 16.62806 16.77155 17.70332 18.30991 16.70022 16.12438 16.63647 16.96805 16.56441 16.83017 17.72108 17.19194 17.83681 18.34489 16.32563 15.5139 17.0459 17.14361 16.61393 17.9541 
+  13.97243 15.71532 14.24013 15.94024 16.42779 17.24181 18.20842 16.16203 15.17454 15.77178 16.21501 15.67723 16.35604 17.39831 16.76721 17.22853 17.88738 15.95963 14.72727 16.41531 16.48671 16.12189 17.57236 
+  13.12301 15.36403 14.92359 14.51013 15.03061 17.25054 18.02694 15.68099 14.72595 15.05695 15.51794 15.62031 15.82822 17.21599 16.45444 16.81317 17.53438 15.40422 14.59688 15.75735 15.82233 15.50435 17.19834 
+  13.63734 15.75846 15.76891 16.33092 16.02224 15.02408 15.51878 13.95916 13.93933 15.34064 15.0723 15.51362 15.4393 16.63021 16.81165 16.50006 17.1815 15.69489 14.01058 16.13823 15.96146 15.71183 17.02876 
+  13.19862 15.13811 14.20608 14.87641 13.86195 15.69343 16.0471 14.37471 12.70754 13.07089 13.74677 13.72397 14.30151 15.42236 14.87322 14.77012 16.19817 14.61831 14.36353 14.7163 14.1343 13.27196 14.94497 
+  13.07108 14.96432 15.33887 15.41621 16.32788 16.2543 15.70077 13.64809 12.23586 13.97429 14.36621 14.99106 14.89284 15.73454 15.09936 16.08811 17.21342 14.54043 14.93736 16.18698 15.30752 15.68343 17.1031 
+  12.17307 13.8663 14.74691 13.82833 15.29623 15.13898 14.94032 14.15431 13.22405 12.60576 13.50053 13.70859 14.2374 14.95605 14.1026 13.79868 15.32834 13.637 13.26627 13.85343 12.49579 13.00945 15.18009 
+  12.25888 13.0473 13.98215 15.20883 14.53955 14.94806 15.02145 12.94323 12.06552 12.47472 12.65622 12.89004 14.31748 15.0515 13.45358 13.49286 14.73266 13.38384 12.97834 13.98633 13.04967 14.18903 15.84389 
+  12.96655 13.67219 15.57411 16.78977 16.06032 13.93955 14.09687 13.42214 11.74005 12.39577 12.6212 13.11872 14.73195 14.7253 13.47528 13.54747 14.39114 12.98527 13.10725 14.80631 13.07693 14.86841 16.53499 
+  10.92069 13.71753 13.87495 14.55451 14.22817 13.57006 13.76763 12.60664 11.17306 11.62393 12.25004 11.81037 13.68605 13.56421 12.86382 12.15489 13.24436 12.0221 12.38628 13.08033 11.34459 12.62064 14.02351 
+  11.5769 13.79373 14.03928 14.87669 13.80563 13.71551 14.04329 12.57617 11.19479 11.37623 10.92707 11.98935 12.46576 12.69549 12.09219 11.78906 13.35041 11.86954 12.23488 13.13238 10.95979 13.09149 14.30729 
+  10.74847 13.18716 13.24313 12.67642 13.39273 12.77279 12.68126 11.46781 10.00143 9.96587 10.43531 11.69773 12.84946 12.46179 11.33073 10.75771 12.40113 11.34042 11.7729 12.49863 11.20993 11.8419 11.45071 
+  11.98419 13.92745 12.27599 12.76547 12.93638 12.34464 12.64864 11.34802 10.23944 9.272176 10.22678 11.26323 11.94163 12.36338 11.0064 10.31246 12.27957 11.23496 11.376 12.09842 11.01261 11.91821 11.30618 
+  11.78683 13.45012 12.74603 13.96315 13.49791 12.03139 12.34809 11.16278 9.914504 8.632698 10.02429 10.49186 10.53503 11.25449 10.37139 10.6025 11.64441 10.73072 11.01634 10.47035 9.727706 10.35247 10.77614 
+  11.52162 12.46663 11.89697 14.03308 13.64052 11.73958 11.48232 9.956855 8.571227 8.986975 9.7626 10.39963 10.45375 10.46915 10.78598 10.67382 11.57074 10.30212 9.981796 10.63711 10.12906 10.43168 10.83299 
+  10.47112 11.29303 12.18044 11.88793 10.8442 10.59727 11.06464 9.595164 9.016017 8.599607 8.99171 9.042683 10.83571 10.81611 9.935513 10.24435 10.53577 9.991421 10.32891 10.49404 10.43093 10.59912 10.33619 
+  11.11114 12.00806 12.1118 11.56301 11.28773 11.11582 11.11947 10.14109 9.354194 9.394133 8.459903 9.571765 10.62552 10.94563 10.39587 10.17176 11.07636 10.36478 10.18448 10.5289 10.58135 11.55 12.22885 
+  9.4698 10.58114 11.28397 11.78697 11.88663 11.19909 11.94986 8.947301 8.886659 9.0145 8.525748 9.001356 10.4408 10.03337 9.662758 9.838831 10.64479 9.835432 9.941095 11.35219 12.8765 13.6802 13.69769 
+  9.431818 10.37749 9.402466 11.65605 12.08712 11.54609 11.73875 8.867339 9.922234 10.61318 10.76134 10.87708 10.16173 10.49702 11.13492 10.97119 10.87446 9.942475 10.69347 12.76756 14.78555 15.63049 15.3683 
+  9.377582 10.94667 11.15134 12.46202 11.73515 10.88063 11.25175 9.65536 11.14065 11.88232 11.94413 11.89391 10.90223 11.40995 12.1747 11.62114 11.59762 10.78957 11.37593 13.46099 15.81433 17.16356 17.15998 
+  9.576265 11.13453 10.96931 10.33049 10.23858 10.44758 10.76839 8.92027 9.525447 10.34433 9.90531 9.858282 9.904203 11.16824 11.88748 11.96853 11.37809 11.49845 11.76391 14.43392 16.65162 18.26472 17.6829 
+  9.068971 10.9832 11.37302 11.22971 9.851135 9.574883 9.735991 9.078069 9.105554 10.11883 10.55576 10.29943 9.432137 11.80125 12.00973 12.56134 12.2724 12.0964 12.37772 14.91978 17.71165 19.49631 18.86863 
+  10.06087 11.30585 10.13232 9.214253 8.846772 9.325168 10.23292 9.699574 10.61134 11.65377 12.32304 11.8669 11.56203 13.31346 13.75598 14.85218 14.10346 13.62769 13.95514 16.67099 18.7434 19.90597 20.01846 
+  9.883128 9.034005 10.26573 9.922016 9.431784 8.751758 10.03959 10.56669 12.11162 13.17491 13.19539 13.8256 12.93738 14.20389 14.85687 14.53677 14.83226 13.86686 14.76633 17.12251 20.07998 22.08923 21.37822 
+  9.735471 10.76163 10.26859 10.09679 10.99103 9.163989 9.649745 10.54053 11.75659 12.85315 12.67314 13.1372 12.42263 13.90682 15.30728 15.41667 14.59862 14.48736 15.16387 17.94337 20.98712 23.08864 22.34081 
+  8.208311 9.269901 9.024371 9.993098 11.19902 9.208381 9.769848 11.40966 12.96586 14.02102 14.22982 14.19959 13.32056 14.34479 16.31928 16.57144 15.62925 14.52523 16.18148 18.67118 20.88604 23.1573 22.48557 
+  8.409505 9.858494 9.497688 10.31458 11.88834 9.982258 10.32621 11.68756 12.89914 13.39427 14.21135 14.64743 13.3156 14.29278 16.14828 15.96886 15.35177 15.5271 16.91822 18.72905 21.57679 23.61708 23.15364 
+  8.934703 9.573559 9.441955 8.765581 10.14542 9.618201 10.5309 11.58863 12.7027 13.85705 14.36015 14.13195 13.7818 15.45178 16.22048 15.6483 15.75696 15.26135 16.86555 19.28024 22.11215 24.40104 23.93007 
+  8.684306 8.866581 8.434036 8.029984 10.91321 11.22698 10.23968 11.33583 12.85784 13.39227 14.42832 14.13936 13.58225 16.27074 17.07727 16.51017 16.3993 16.14433 16.99274 19.69513 23.2365 24.59908 24.04222 
+  8.643711 9.807123 9.50042 9.324292 10.83774 11.15303 10.39372 11.22418 12.95454 13.35421 14.3774 13.54205 13.72393 17.05115 17.68932 16.12386 15.83425 16.01268 17.58204 19.77008 23.01275 24.67944 24.14307 
+  7.688036 8.535404 9.236469 10.83574 11.49044 11.28016 11.46384 12.16683 13.50681 13.8899 13.76011 13.80902 13.72299 16.50299 18.20104 16.61069 16.52741 16.1986 18.36386 20.11685 22.81937 23.6178 23.35131 
+  10.17826 8.205004 9.347319 12.3267 13.34488 11.22051 10.90597 11.83232 13.47991 13.05177 12.89349 13.7592 13.9114 16.77988 18.02056 16.96051 16.41222 16.26488 18.08109 20.25217 22.95943 23.70821 22.32704 
+  9.040493 8.760096 8.527176 9.89751 10.56365 9.972799 10.10701 10.67076 12.86245 12.45882 13.2768 14.06905 14.12293 17.41031 18.83172 16.48821 16.42317 16.09177 17.95219 20.02211 23.01787 23.78878 22.42188 
+  9.399467 7.837672 9.216712 10.6783 10.54392 10.52287 11.50509 11.89538 12.42534 13.73793 12.68215 13.53249 13.51577 16.23136 18.68464 17.29062 16.49525 15.83475 18.22473 19.69581 22.15342 22.9642 22.44792 
+  8.776668 9.244227 9.925127 11.38309 10.78001 10.8051 10.342 11.05655 12.77748 14.84761 13.69246 13.08996 13.35411 16.14378 18.69108 17.32467 17.7679 16.45478 17.57494 19.5618 22.46428 22.97581 21.49464 
+  8.894381 9.427493 10.64883 11.46896 10.78124 9.074279 10.21656 11.47114 12.82468 12.99811 12.95543 12.60641 13.26145 15.72201 18.2295 17.42356 17.95378 16.7246 17.54635 19.24829 21.3367 21.933 20.77688 
+  9.042042 8.76036 10.59839 11.72806 12.2252 10.01876 10.65936 11.28481 12.38915 12.18661 11.73761 12.19487 12.95884 15.87654 18.47887 17.35869 17.52493 16.28156 16.84913 18.45013 20.72539 20.79898 19.75169 
+  10.06297 12.90782 12.88049 10.60552 11.71332 10.51397 9.21656 10.82334 11.41065 12.40258 13.10792 13.42447 12.83565 15.32679 18.56764 17.4046 16.69835 15.57237 16.41321 17.4268 18.71982 19.50741 18.1189 
+  9.921656 16.52995 17.53824 15.70275 15.32331 12.92085 12.47987 12.10413 12.42868 12.15174 12.5522 11.8612 12.07436 13.91121 17.06873 16.3721 16.04488 15.49017 15.58386 17.01062 17.89955 17.60539 17.31772 
+  11.36264 17.33499 18.40477 17.00244 18.4658 15.7809 13.04894 11.71813 12.67283 13.29064 13.457 12.057 11.66851 13.66247 17.68314 16.57116 15.98984 14.92666 16.06848 17.17213 17.39293 17.66684 17.4516 
+  10.62282 17.60542 18.32822 17.09484 19.33393 16.77328 12.53772 11.13757 13.03852 14.02408 14.38111 13.17555 12.76845 14.38874 17.52058 16.74355 16.38338 15.24556 15.39419 16.26055 16.64132 16.97384 16.89183 
+  10.47606 17.70844 18.43419 17.68979 19.75669 16.95199 11.87117 12.01979 13.45656 14.36295 14.81179 13.49354 12.68675 14.77314 17.4999 16.20375 15.68843 15.2202 15.67017 16.32603 16.47589 16.68805 16.65318 
+  10.98051 17.72518 18.46542 18.05853 19.93608 16.77472 12.27509 12.2058 13.27803 14.52329 15.10997 13.82026 12.10452 13.67547 16.55763 15.52405 15.14251 14.49046 15.37576 16.78892 16.64076 16.92625 17.4085 
+  10.61574 17.7157 18.246 18.44892 20.22108 17.01719 13.5045 12.65141 12.83893 14.40987 15.02312 13.29914 13.55334 15.01744 16.19461 15.84118 15.6518 14.68441 15.11373 16.25138 16.23415 16.90338 17.4352 
+  10.69256 17.79112 18.42277 18.3324 20.11359 16.95714 13.75263 13.08895 13.11321 14.44533 15.22537 13.40903 13.27475 15.41946 15.46931 15.14482 15.65731 14.71926 15.28069 17.00951 16.92454 17.32482 17.49486 
+  10.73899 17.75406 18.27556 17.87709 19.47082 15.97545 13.59863 13.1574 13.07014 14.04729 14.62672 13.32558 12.45246 15.42138 14.76762 14.0249 15.21964 14.52955 15.10038 17.08111 17.13165 16.41658 17.86931 
+  9.618335 17.47857 17.98661 17.55681 18.80152 14.7733 13.48202 12.65518 13.07832 13.56103 13.67241 12.99241 12.99369 14.52666 14.21892 14.50008 15.0451 14.01138 14.70819 17.09094 17.17188 17.34347 17.56815 
+  11.57962 16.64433 17.44956 16.3053 18.07066 14.92957 13.12261 12.80251 13.23727 13.17543 12.1275 12.36365 13.38163 14.66714 14.47845 14.50121 14.2356 14.29019 15.07313 17.368 19.52579 21.40561 20.27804 
+  10.79007 16.8456 17.36958 16.39471 18.20171 15.12339 12.79474 10.63306 11.83869 12.54484 13.22725 12.38338 12.43016 14.38861 14.98121 15.43519 15.47331 14.8543 16.05373 18.43741 20.38091 22.39174 21.13035 
+  11.29912 15.8077 16.54896 16.36229 18.221 15.09686 11.11965 9.979053 10.83024 13.19693 13.55953 12.65395 12.45233 12.89222 15.0179 15.60445 14.92871 14.3497 15.49676 18.35275 19.81606 22.24131 21.26899 
+  10.58634 15.52423 16.11585 16.42515 18.17402 15.00347 10.48176 11.49412 11.44849 12.50072 12.81663 12.37796 12.68344 12.88461 13.50673 14.09901 14.95052 14.7693 14.78594 17.34875 19.04901 21.56851 20.89043 
+  9.614183 15.8431 16.38121 15.86494 17.58311 14.49032 11.02957 10.22538 9.527282 10.68686 12.11254 12.43469 12.31795 13.20986 13.51692 13.65216 14.22145 14.17002 14.99944 16.96408 18.17498 20.48696 20.18502 
+  10.00105 14.93148 15.57334 14.18313 15.84909 13.41543 10.91846 10.40649 10.04232 11.3954 11.08972 10.65496 11.28233 12.84103 13.64318 13.3043 13.51652 13.92885 14.5559 16.84107 18.5327 20.81325 20.21984 
+  8.364077 14.47285 15.08788 13.55744 15.35808 12.38914 10.11354 10.69198 10.48146 11.39112 12.41379 12.30688 11.5294 12.61159 13.42383 14.04588 13.40064 13.34902 14.46458 16.70078 18.35919 20.76412 19.943 
+  9.641496 14.35918 14.95244 14.19986 15.70295 12.1898 10.18897 9.93488 11.01549 11.42438 12.44854 12.86371 11.5565 13.17326 13.65934 14.53895 13.90649 12.75882 14.03429 16.0668 18.27451 20.19135 19.50024 
+  8.998137 15.16441 15.34586 14.19052 15.65328 11.88099 10.49521 10.64151 11.44318 12.29878 12.59886 12.93051 11.39418 13.67889 14.56925 14.55365 14.10461 13.24354 14.07761 16.63885 18.53308 20.30708 20.31402 
+  8.946667 14.58632 14.90333 13.99691 15.40372 11.7403 9.425845 11.23817 12.30968 13.13296 12.68324 12.09499 11.59824 14.54168 14.32594 15.0352 14.37218 13.71023 14.06014 17.93824 19.09838 21.4241 20.9504 
+  9.447927 13.22877 13.59622 13.29706 14.72807 10.7798 10.31542 10.73058 12.23221 13.26059 12.40936 13.92871 12.75949 13.78177 15.05717 15.43973 15.04269 14.58284 15.24181 18.27596 20.08396 22.0071 21.56488 
+  8.942842 12.3533 12.72897 12.85406 14.50646 11.68498 10.16205 11.14519 12.01001 13.16905 12.63423 12.60056 13.09376 15.80599 15.64569 15.43857 15.37898 14.46924 16.22836 18.90742 20.43498 22.41726 21.382 
+  9.982429 12.81441 13.19554 12.47804 14.03025 11.90199 10.44281 10.78242 11.68254 11.92076 12.58015 12.23102 12.68594 15.57787 14.6662 15.05085 15.23528 13.82845 15.80674 17.82709 19.04893 21.38214 19.97395 
+  9.869902 15.98693 17.0225 15.82257 16.53093 14.39392 13.55346 13.0189 13.5896 13.15744 13.18752 12.97133 12.9559 14.33525 13.73748 13.04741 14.4363 13.70424 15.57391 16.99634 17.09068 17.86176 18.46799 
+  11.20318 16.74047 17.93852 17.55423 19.5529 17.38312 15.2714 13.70905 14.90142 15.34691 15.5448 12.94791 14.09873 15.03901 14.75121 14.84058 15.57433 14.77669 15.42783 17.23933 17.08564 16.54724 18.42886 
+  10.00581 16.99308 17.64376 17.35759 19.84209 17.72609 16.06901 13.94531 14.6718 16.30286 16.95507 13.571 14.54512 15.59432 15.28288 16.09251 16.91068 14.48281 15.62211 16.89838 16.95857 16.07769 17.91624 
+  10.26451 17.10342 17.68718 17.12966 18.80752 16.72883 17.11706 14.18921 15.08757 17.02866 17.63015 14.70868 14.18901 15.36524 15.08402 16.53765 17.53717 14.94885 15.30448 16.46144 16.25202 15.7747 17.48356 
+  10.57615 17.0614 17.78706 16.76842 18.19138 17.44588 18.12214 14.26881 15.37736 17.35711 17.82368 16.12888 14.66693 15.406 15.11084 16.10291 17.21349 14.85879 14.25072 15.92479 15.79147 15.51069 17.19426 
+  9.48652 16.911 17.18489 17.25456 18.75069 18.27182 18.70464 15.1519 15.75929 18.05139 18.79077 18.19505 14.61217 15.21042 14.50809 16.6024 17.5759 14.97376 14.62691 15.54537 15.83502 14.67196 16.36763 
+  9.985225 16.74782 17.24112 17.25887 18.27095 18.51624 18.83493 16.13771 15.24101 18.14103 19.13589 18.64982 14.49468 13.72041 14.16209 16.20668 16.41984 14.58272 14.20643 15.07785 16.00739 15.01148 16.37612 
+  8.453218 16.44852 16.53209 17.24354 18.39434 18.03302 18.01833 17.08058 14.58579 18.43371 19.00238 18.1741 14.07615 12.95393 12.84746 15.36702 15.92542 14.33508 13.597 14.46982 16.11521 14.52893 17.01237 
+  9.352406 16.0076 16.35685 16.47454 16.98188 17.873 17.68334 17.51781 14.67671 18.76287 18.72811 17.72148 13.38931 12.69698 13.39213 14.65827 15.30858 15.00858 14.27974 14.66115 15.79502 13.98777 16.22205 
+  9.672524 14.51215 14.49281 17.57202 18.71115 18.5533 18.56325 18.01528 15.20035 18.96259 18.58512 17.13366 13.41415 12.05879 12.61457 14.21013 14.71272 14.4392 14.22963 14.40962 15.35258 14.32724 15.84399 
+  9.294844 14.85708 15.12689 17.73894 18.71831 18.47003 18.26656 17.68312 15.53754 18.16326 17.79104 15.80158 12.8884 11.75445 11.60362 14.12353 14.61159 13.81479 13.50152 14.23705 15.36493 14.26479 16.47873 
+  8.768968 15.45139 15.69153 17.49653 18.18467 18.7153 18.61305 16.95576 17.30786 17.01988 16.78725 15.96744 13.20623 11.91497 10.71408 13.16159 14.11679 14.18742 13.99787 14.10843 14.59204 14.09456 16.28277 
+  9.966001 15.72716 15.85344 17.40161 18.01343 18.25241 18.0155 17.06878 17.53317 16.64179 16.41474 15.78998 13.04946 11.22962 10.81054 12.68965 14.08202 14.16896 13.95166 14.16778 15.26385 14.41844 15.19306 
+  9.675585 15.72316 15.94752 16.87626 17.34341 17.19278 16.94996 16.84417 17.60019 16.79139 15.83696 14.38576 11.87001 11.4011 11.60792 12.10766 13.4803 13.23835 12.92072 14.22253 15.03658 14.08519 14.59369 
+  8.843268 15.32752 15.28943 16.05486 16.22001 15.98866 16.2473 16.98972 17.01772 16.9006 16.29029 14.78596 10.99794 11.25592 11.78223 12.48373 13.76172 13.57825 13.22475 14.14124 14.77772 14.18768 15.47867 
+  9.988932 15.02293 15.06712 16.10529 16.68101 14.5116 15.2082 16.47553 16.51361 17.52498 17.05329 14.73698 11.47603 11.26132 11.55777 12.60618 14.0904 13.70418 12.92093 14.22556 15.54817 14.19895 15.33703 
+  9.373691 14.60107 14.44204 16.04573 16.79593 15.65233 15.8361 15.7082 15.76369 17.70542 17.72066 15.61394 12.20694 11.29502 12.29862 12.74661 13.96791 13.84649 13.18555 14.58438 16.68427 15.04027 15.47512 
+  9.678563 14.24788 13.43199 15.21713 15.649 16.42124 16.40302 16.3937 15.09498 16.95411 17.4481 16.14875 12.54013 12.54267 13.3262 13.59261 15.50308 14.9336 13.64636 14.634 16.40599 14.55039 15.61549 
+  10.3574 15.14911 14.75568 15.57308 15.29968 16.94623 16.488 16.12799 15.32639 15.1618 16.76408 16.33082 12.41711 12.65482 13.66632 13.70024 15.7187 15.12583 13.7085 15.76237 17.63751 14.65858 15.68508 
+  10.7973 15.52072 14.91968 15.44418 16.11236 16.58336 16.3113 15.46747 14.99532 15.4524 15.88347 15.21543 12.29164 12.56826 12.42722 12.49476 14.77974 14.30123 13.07562 15.28318 17.01124 14.17749 15.07545 
+  11.72055 14.70813 14.33016 15.86267 16.10855 16.00652 15.79218 14.71058 14.24063 14.49434 15.89563 14.62785 13.76968 14.33625 13.71839 14.10913 14.64376 14.01509 13.78574 15.50584 16.63034 17.31616 17.19594 
+  11.63814 14.6362 14.03121 15.15585 15.78361 15.6864 15.34269 14.2795 14.29758 15.06682 15.55843 14.9841 14.52794 14.38037 14.58176 15.49519 16.01623 14.98994 16.1685 17.89346 19.66196 20.41212 19.85152 
+  11.20878 14.61073 14.74267 14.05825 15.03689 14.27688 13.934 13.7751 13.63184 13.97793 14.57368 14.39714 14.21094 14.06395 14.52638 15.53573 16.57571 15.51742 17.78471 19.37989 21.206 22.15632 21.33591 
+  10.45609 14.74396 14.32149 13.18418 13.62141 14.69138 14.50593 13.22618 13.50317 13.10417 13.68227 13.81558 14.411 13.72738 14.54855 15.41036 16.20938 15.58582 17.08364 18.51379 20.73615 22.85728 22.03742 
+  9.892098 14.23401 13.93373 13.37699 13.63826 14.14518 13.86748 12.95281 12.58174 13.15587 13.58239 13.93001 14.0541 14.45245 14.81557 15.24402 15.24497 14.92806 16.91828 19.23318 21.00042 22.89181 22.22411 
+  8.341251 13.11608 13.08356 12.63929 12.80791 12.68776 12.75128 13.05065 11.75436 13.81135 13.41625 12.83436 13.37474 14.62833 15.19703 15.31099 14.71062 15.49001 16.62827 18.99271 20.98364 22.86999 22.26387 
+  9.033696 14.0476 13.55966 12.04009 12.19411 12.87305 12.72984 12.89095 12.6282 13.35929 13.01105 12.84826 12.64545 13.73565 15.17793 15.06093 14.961 14.88946 16.90281 18.75511 20.67654 22.07957 22.50922 
+  9.733017 14.11259 13.47146 12.15287 12.6395 12.34159 11.76064 12.4338 12.91527 13.87755 13.5646 12.60468 13.0273 14.35512 15.41535 15.23291 15.34092 14.8519 15.97584 18.7154 21.41322 22.42959 23.02157 
+  8.697401 12.64109 12.03506 13.12382 13.84305 11.54991 11.58626 11.05973 11.39041 14.03995 14.19523 13.01843 13.23257 14.71688 15.60102 14.75217 15.33405 14.82154 16.59491 18.86729 21.02257 22.58431 22.67589 
+  9.467981 13.12758 12.64267 12.87043 13.40577 11.28999 10.91053 11.14885 11.37754 13.09841 14.32014 13.18549 12.73418 14.28728 14.77119 14.96639 15.80654 15.12319 16.99688 18.39054 20.01874 22.73198 22.52024 
+  9.764517 13.51877 13.10358 11.6141 12.21243 11.77503 11.65425 10.68032 11.29402 14.13506 14.52542 13.75776 13.12655 14.90901 14.66903 15.17769 14.88138 14.35127 15.96097 17.97906 20.40209 22.40177 22.05331 
+  9.448538 12.1722 12.48105 11.88218 12.70931 12.26048 11.73737 10.74498 12.15391 13.1719 13.41782 12.89102 12.99866 15.54638 15.04468 15.65555 15.56007 14.52773 15.27511 18.04018 19.91089 21.79332 21.80087 
+  8.763973 11.93478 11.62999 11.1273 12.46282 11.85779 11.41145 11.12057 12.67596 13.37468 12.94005 12.73368 12.64572 15.58685 15.55944 15.38471 14.74936 14.22819 16.26686 18.11139 19.70222 21.42123 21.45517 
+  8.306178 9.252882 9.844025 11.26888 10.83866 11.36586 11.08982 10.34481 11.93284 12.10324 12.52144 12.75002 12.61329 14.85645 14.61 14.17808 15.05804 14.43231 15.56323 17.80058 18.97718 20.20973 19.62204 
+  11.66475 14.36481 14.23808 12.98364 11.47848 11.98761 11.70588 10.32386 11.46336 12.05531 11.33844 11.47684 12.1066 15.10926 14.7728 13.86291 14.54506 14.13791 14.81665 16.32619 17.66183 18.56561 18.54115 
+  13.551 15.17671 16.76833 15.87209 15.30873 11.94541 10.92486 11.23132 11.48584 13.04966 12.27409 11.97255 11.65486 14.969 14.62882 13.83866 13.70533 13.39387 13.99928 15.66928 16.7587 16.72407 16.5293 
+  12.76456 14.3368 17.05488 16.533 16.53849 12.9081 12.13053 12.54419 11.06146 11.80947 11.34655 11.66301 11.78405 14.4737 14.33242 13.79723 14.23168 13.66543 14.59762 15.88466 16.25202 16.19663 16.058 
+  12.61326 13.91244 16.62031 16.31223 16.49494 13.073 12.46359 13.13346 11.08299 12.0898 12.36925 12.15002 11.55262 14.73402 14.74845 14.4159 15.61065 14.59098 14.15156 15.8146 16.68856 15.90823 15.70445 
+  13.72736 14.60473 16.47353 16.42584 16.23803 13.49946 13.32173 13.55856 11.47504 12.57557 13.47919 12.9309 12.37103 15.21231 15.2276 15.20738 16.28225 14.82661 15.0314 16.40727 17.3156 15.99237 15.84188 
+  13.94386 14.66504 15.96983 16.09722 16.08472 13.28472 14.21239 13.74801 11.81877 13.22909 13.79301 13.41157 12.9921 15.82657 15.1773 15.28221 16.49038 15.39782 15.09806 16.5119 17.39903 16.71843 16.71772 
+  13.7535 15.06458 15.29338 15.41305 15.38942 12.72157 14.62464 13.94845 13.23048 13.06216 13.54 12.74474 13.10539 14.58909 14.21166 14.60993 15.12524 14.18825 14.24555 15.87136 16.5764 16.25047 16.18505 
+  12.87529 15.11237 17.02908 16.62773 14.56104 13.15497 14.62326 14.26014 13.4457 13.14097 14.58538 14.2613 13.35599 14.02586 13.7997 13.72621 14.95759 14.69201 13.92311 15.1955 15.75672 15.51821 15.26852 
+  14.88954 16.34912 15.96387 16.39929 15.98874 13.18963 13.59016 13.90227 13.35802 13.87966 14.67649 14.61434 13.03115 13.09564 12.67227 13.00849 14.46988 13.8509 13.29925 14.3982 14.9851 14.69154 15.44168 
+  15.86816 17.34939 15.38919 15.75551 14.90487 13.54091 13.4477 14.09079 13.59264 14.21146 13.69315 13.91447 12.34339 11.63899 11.57346 11.78274 13.74251 13.4482 12.77586 13.67141 13.67339 14.87321 15.2977 
+  16.05614 17.80696 15.5341 15.78276 14.98103 13.54131 13.31379 14.18915 14.42894 15.16783 13.61487 12.74171 12.90643 12.58465 11.50915 11.18896 13.20965 13.26229 12.49681 12.70356 12.91538 14.117 14.82414 
+  16.10782 18.11083 15.80454 15.79372 14.83904 13.20489 12.75853 14.28803 15.24095 14.56751 12.98957 12.72844 12.02183 12.00667 11.41799 10.49253 12.19255 12.55818 12.08304 12.07552 12.59875 13.70636 14.76297 
+  16.48818 18.47473 16.28432 16.31223 13.50066 12.83804 13.33812 14.4014 15.45115 14.3461 12.77997 12.5514 11.41195 11.27457 9.940119 10.18195 11.79267 12.34199 12.40519 12.08422 12.70067 13.04217 14.32282 
+  16.58727 18.6493 16.57899 16.56668 13.67641 12.70696 13.48661 14.16076 15.01744 13.59957 12.72013 12.734 11.13864 11.15946 10.10025 10.58426 12.08072 12.54692 12.42924 12.06971 13.08699 12.87339 13.88818 
+  16.46552 18.60275 16.49226 16.2148 14.75385 13.87186 13.3091 13.94653 14.61146 13.24284 12.09616 11.93655 11.40253 11.15538 10.07787 9.789737 11.60745 12.03494 11.88888 12.21645 12.83724 12.63594 13.60312 
+  16.42601 18.49523 16.10097 14.80393 15.19385 14.14109 13.04128 13.45862 14.21167 13.62841 11.52437 10.68034 10.83395 10.6881 10.08846 10.43773 10.89225 11.42747 11.60774 13.2441 13.97224 11.69935 13.44734 
+  16.38114 18.33183 15.98755 14.96587 15.34151 13.83746 12.48781 12.56362 13.59895 13.62195 11.67679 11.84699 11.38903 10.70972 10.37174 10.57339 10.79502 11.32389 11.35826 13.23451 14.09176 12.10806 13.03413 
+  16.22431 17.94065 15.84532 15.77651 16.14402 14.11528 12.80109 13.16647 14.27707 13.8602 11.68355 11.39642 10.84387 10.61396 9.958416 9.830719 10.69155 11.12258 11.26303 13.12325 13.99851 11.67061 12.9628 
+  15.79015 17.19271 15.68581 15.83383 16.8037 14.45622 12.3988 12.65228 14.56971 13.79517 10.82631 9.563471 10.30857 9.767759 10.45248 9.569944 10.59113 11.10918 11.09264 12.86746 13.68986 11.89357 12.99938 
+  15.2913 16.56188 15.66566 15.6369 15.88488 12.91912 13.74727 13.40825 14.74673 12.99693 11.53082 10.84703 10.13508 9.678087 9.518613 9.16087 10.43609 11.18994 10.68452 11.71982 12.54992 12.5922 13.53928 
+  14.92816 16.64891 16.45783 16.25064 16.19631 13.19242 13.77824 14.43863 15.26204 15.19201 12.83485 11.38921 10.91256 11.21886 10.82799 12.13972 13.95731 12.54356 12.07864 12.44756 12.12163 12.97568 14.7286 
+  15.13246 17.03524 15.97898 15.40096 15.36011 13.36627 13.54038 14.25134 15.57904 16.03234 13.77775 12.25592 10.30315 10.69148 10.83694 12.56628 14.37519 12.44555 12.39819 13.07718 11.56385 13.12282 15.2996 
+  15.5982 17.27533 16.06111 15.55091 15.21003 14.51325 13.98331 14.05154 14.17753 16.04241 15.2899 13.87621 11.14674 10.69581 11.96811 14.34262 14.9851 13.41596 13.65708 14.32451 13.39169 12.8552 14.58668 
+  14.91011 16.69463 15.57334 15.01008 15.36094 14.74225 14.26171 13.92481 13.91756 15.95652 16.69785 16.57439 12.48547 11.33714 12.08421 15.43829 15.81007 13.38737 13.30834 14.67949 14.26769 13.08782 14.67955 
+  13.62063 15.99206 15.72027 15.10223 15.1442 15.15948 14.64559 13.86851 12.91738 14.75704 17.01463 17.44593 14.92344 12.40641 12.71938 16.50565 16.63255 13.53405 12.98962 15.20941 15.12311 13.42216 15.25566 
+  15.30581 16.69621 15.66549 15.66445 16.12411 15.10698 15.31674 14.56899 12.28834 15.10705 16.23727 16.72542 15.70731 13.46484 13.77255 16.57919 16.63644 13.61368 13.20484 14.98691 15.30538 13.48375 14.71632 
+  14.74377 15.90853 16.02791 15.53424 15.54271 15.17513 15.70076 15.01335 12.41409 14.9216 15.6982 15.6553 14.80186 13.63735 14.12234 16.54076 16.64301 13.9333 13.65155 15.33424 15.71972 14.00131 14.723 
+  13.63359 14.52747 16.50115 15.59644 14.78498 14.94671 15.83353 15.04419 12.83702 15.15406 14.95185 15.14444 14.53343 14.07447 14.4541 16.43644 16.78634 13.96131 13.85571 15.59888 16.54558 14.7505 15.17269 
+  15.09095 15.96606 16.31398 15.20485 14.33777 14.76441 15.66189 15.22405 12.65838 15.33522 14.93109 15.00384 14.89501 14.88041 14.65054 16.52218 17.02337 14.22087 14.82588 15.54361 17.17436 15.60863 15.80521 
+  15.26671 15.98887 16.00072 15.11115 14.80698 14.81987 15.41057 15.06448 12.76331 14.64497 15.39146 15.59635 15.41956 14.94571 14.81527 16.34526 16.81958 14.88231 15.31733 15.54397 16.68404 16.08439 16.50137 
+  14.82031 15.1955 15.81392 14.74509 13.80763 14.37639 15.23381 14.08953 13.05277 14.46634 15.04908 15.01031 14.62417 15.87493 14.96298 16.19891 16.81858 14.21854 14.53428 15.09545 15.81948 15.23545 15.83264 
+  14.47235 14.64184 15.65243 14.61598 13.88489 14.16747 15.15573 13.50578 13.0122 14.29219 15.03921 14.0275 13.43212 15.84878 14.55854 14.92103 15.28403 13.08439 14.17978 15.17877 15.71674 13.99384 15.05782 
+  14.84271 15.37902 15.59052 14.53613 13.88661 14.49238 15.42805 13.71516 12.43119 13.77503 14.90729 14.78802 14.2214 15.8298 14.60928 14.95287 15.55999 13.44495 13.74132 15.10681 16.23884 14.13648 15.53918 
+  14.90855 15.54294 15.92132 14.83505 13.52632 14.82017 15.56321 12.84901 12.36878 12.84481 13.59268 13.83251 13.89308 14.76446 13.99949 14.81193 15.35496 13.92693 14.23314 14.60406 16.01696 13.7629 15.32229 
+  14.34874 14.65815 15.8946 14.89865 13.93546 14.51131 15.38126 12.69744 12.18602 11.85635 12.55572 13.3946 13.59089 14.50925 13.44721 14.08821 15.0949 13.18603 13.76213 14.69819 15.71466 14.58852 16.02038 
+  14.12023 14.95996 14.94988 14.08591 14.26389 15.05177 15.42382 14.23856 13.6525 13.4122 13.92378 13.58581 13.71874 15.37159 13.65612 14.78279 15.35144 12.51747 13.10743 13.96306 14.74565 13.60848 15.42061 
+  13.03794 14.3534 14.61717 14.4276 14.20311 14.88333 16.29688 13.85629 12.45 12.66146 13.211 13.02482 13.61957 15.25426 13.65302 14.40839 15.28184 12.64547 12.91868 13.65031 15.02586 13.60051 14.85588 
+  12.80224 14.75209 15.02113 14.23392 13.57626 14.24956 14.97642 13.44714 11.19146 11.87919 12.94502 13.08048 12.71222 14.35021 13.33305 13.61649 14.14324 12.44998 12.97652 14.02602 14.98486 13.33818 14.75948 
+  13.16971 14.54832 13.68839 12.53332 12.31186 13.85297 14.5408 12.63638 10.70129 10.50308 11.22596 12.15875 12.87752 14.50729 13.75705 13.03189 14.20643 12.62912 13.04198 13.98892 14.39815 13.00242 14.93295 
+  12.32784 14.45602 13.87575 12.9689 12.90031 12.28457 12.79731 12.50595 11.64002 10.49457 12.00499 11.84997 12.20587 13.69985 12.74907 13.07555 13.99215 12.42866 12.85618 13.70903 14.67477 12.98654 15.42268 
+  13.97398 15.76731 14.26718 13.93614 13.3635 12.53315 12.47679 12.46972 10.95234 10.91325 11.5195 11.66877 12.05166 13.99423 12.40961 12.80348 13.87326 12.39891 12.30221 12.87925 14.37371 12.68297 14.16082 
+  14.184 16.03344 14.21303 12.96472 13.494 13.50742 12.40183 12.13428 11.0977 10.09598 11.73288 11.88649 11.97245 12.51878 11.91088 12.78705 13.84648 12.43722 11.65642 12.11694 12.9002 12.40637 14.5552 
+  13.45738 15.55 14.00745 12.82178 12.33664 11.91138 12.54709 12.3248 11.18794 10.89101 11.58366 11.65439 12.35607 12.53853 11.86051 12.31624 13.99491 12.18095 11.57812 11.95029 13.21074 12.14984 13.58227 
+  12.75044 14.95871 13.36009 13.20988 12.31619 11.93608 11.93395 12.31846 11.38457 11.1864 11.68532 11.97781 12.34169 12.93438 11.78984 12.08069 13.22225 11.86906 11.43046 11.13731 12.37698 12.51735 13.13258 
+  12.4284 14.15335 13.07597 11.76668 11.4075 11.61571 12.59232 11.93633 12.10711 12.10692 12.07862 13.06988 12.64771 14.07678 12.7958 11.8246 12.44421 11.69291 11.27304 11.0924 11.61102 12.44975 12.95033 
+  11.18342 11.99406 12.91778 11.29505 11.66648 10.58673 12.03916 12.36362 11.94302 11.53715 12.30084 12.70467 12.66107 14.14579 13.0996 11.72703 12.5057 11.78472 11.09719 10.43786 12.19886 12.96147 12.51465 
+  11.16282 12.16246 10.93769 9.637576 10.93914 11.07357 12.48322 11.72473 10.95556 11.30609 12.062 12.24674 12.28014 13.23953 12.19423 12.05279 12.69395 11.68082 11.26663 10.09986 10.75675 11.19461 11.49739 
+  10.68674 13.24407 11.97083 9.004447 9.364768 10.10863 12.20102 11.69279 10.02772 10.04208 11.35098 11.3541 12.00796 12.02115 10.81907 10.48873 11.81506 11.11288 11.23438 10.76176 10.97295 11.27559 11.05051 
+  11.25764 13.04875 10.96754 9.594095 9.950509 9.515109 10.90454 10.44351 10.30407 10.58162 11.61821 10.79663 11.97438 12.49545 10.3045 10.45207 10.77822 10.23204 10.59221 10.55611 10.73 11.25474 10.92693 
+  10.77957 12.84101 10.96046 9.825205 9.921305 10.27295 11.00374 9.069146 9.143576 9.619534 9.886018 9.683996 11.43353 11.68437 10.21345 9.418591 10.17027 9.919155 9.729475 10.12781 10.13701 10.20216 10.49461 
+  10.50037 12.81704 10.93899 8.919902 9.181169 9.454815 9.864502 9.160638 7.950092 8.281847 9.608268 9.700049 10.10044 10.43497 10.07498 9.374721 10.09255 9.838331 9.777655 9.972161 10.5668 10.3991 10.44382 
+  10.9499 12.69608 10.32951 8.873781 9.134046 8.758868 9.037214 8.199131 7.569058 8.374478 9.34644 9.717125 9.732412 10.43906 8.821301 8.579359 9.148021 9.602486 9.728423 9.711402 10.63859 10.64856 10.91956 
+  11.27755 12.95559 10.74122 9.436187 9.256186 9.484769 9.586822 8.388662 7.160058 8.068262 9.397726 9.698923 10.2531 10.30162 9.136081 8.90623 9.838286 9.443312 9.586123 9.845777 10.52771 11.16902 11.16297 
+  10.61487 12.45117 10.35181 8.28381 7.78183 7.990805 8.725731 8.746444 7.518696 7.472842 8.455659 9.625546 9.859873 9.179219 8.927357 9.205382 9.615867 10.14538 10.18613 10.31581 10.64848 10.60155 10.51831 
+  9.637716 11.20578 9.314525 7.651236 7.868614 8.413736 9.356231 8.070017 8.155 7.390232 8.749864 9.116447 9.567814 9.369207 9.694729 9.147233 9.482315 9.444982 9.887435 9.599484 9.862085 10.45017 10.60415 
+  8.626204 9.187364 9.029099 8.493851 7.209723 7.690259 8.042856 7.316092 8.150468 8.128954 8.491919 8.446475 8.681947 8.747696 8.789898 9.233255 10.31805 9.660691 9.486577 10.23518 9.970778 9.988548 10.34961 
+  9.442098 8.689657 9.283001 7.998808 6.22693 6.962261 9.189577 8.19746 7.75057 8.493724 8.455694 7.799927 8.001998 8.729837 9.923102 9.574437 9.835016 9.547566 9.595923 10.27687 9.859653 10.14931 10.31981 
+  9.97291 9.826776 8.408665 7.496465 8.021371 7.480401 6.859789 7.656764 8.673873 8.172565 8.807829 9.007799 9.039057 8.638908 9.110216 9.078871 9.454023 9.512172 9.644451 9.953197 10.47481 10.57586 11.22771 
+  7.733074 9.88445 8.777633 8.313414 8.081938 7.271777 8.92068 8.634503 8.78035 8.908507 9.615075 9.58618 10.19903 9.804263 9.953383 9.936666 10.38816 9.741985 10.35782 10.95726 11.52999 11.21175 11.48313 
+  10.96227 9.154578 8.698281 7.998504 7.728884 6.602579 8.022117 8.025263 9.123106 8.844633 8.908731 10.21477 9.655914 9.417415 9.496919 9.789172 10.42569 10.3659 11.02518 10.92264 11.54033 11.66203 11.41841 
+  10.86337 9.16935 9.55076 7.872849 7.942523 7.244263 7.779666 7.115378 7.89739 8.183571 8.867866 9.697963 9.289954 9.11062 9.085766 9.426685 9.012211 9.846148 10.90698 10.7715 10.9265 11.21198 11.22182 
+  9.851903 10.36412 8.908376 7.846486 7.46843 7.405447 7.65377 8.196727 7.064144 8.249885 8.761197 8.942713 9.204334 8.628345 8.864152 9.710718 9.490798 9.545791 10.44929 10.69282 10.93337 10.86275 10.97815 
+  11.25423 10.87261 8.889456 7.461558 7.015344 7.351716 8.382879 8.503271 7.68911 7.91639 8.643186 8.87805 9.065163 9.099637 9.386837 9.786633 10.39724 10.21951 10.45584 10.46524 10.56583 10.76281 10.16936 
+  10.68273 9.817769 8.26171 8.016673 8.054502 7.516357 7.65291 7.820787 7.519141 7.720293 7.444949 8.414156 9.215623 8.999539 9.341202 10.16718 9.897247 10.21318 10.05819 10.82438 10.51383 10.53982 10.3831 
+  9.478124 9.167519 9.010949 7.99378 7.74503 6.204545 7.584774 7.112559 7.285814 7.478474 7.668393 7.974492 8.957026 8.854042 8.923244 10.00307 9.395614 9.709485 9.681889 10.5162 10.42807 10.61794 10.64966 
+  10.47888 7.862177 7.167226 8.245425 7.75247 7.6353 7.317435 8.184895 7.887283 7.203204 8.485103 8.665626 8.602202 8.789666 8.851316 9.74954 9.710799 9.547979 9.842075 10.54527 10.60706 10.56509 10.56258 
+  9.801606 8.885911 7.033187 7.478241 6.67696 7.042121 7.39953 7.7513 7.696868 7.563337 8.205177 8.162902 8.607606 8.607259 8.436271 9.256256 9.444992 9.138235 9.183046 10.3544 10.70144 10.78459 10.73416 
+  8.729084 9.680941 8.473826 7.128935 7.117252 7.535285 7.976354 8.395122 7.388021 7.665706 7.663038 7.935491 7.918374 8.014401 9.072487 9.747068 9.442183 10.02906 9.621786 10.21271 10.62509 10.38278 10.59681 
+  9.071483 8.072448 8.148285 8.208888 6.865083 7.357923 7.7726 7.642717 7.373379 7.314355 6.811155 8.184822 8.202291 9.007961 8.424119 9.344726 9.500482 9.494846 9.845454 10.21647 10.59387 10.59069 10.30458 
+  9.551182 8.782715 9.017637 8.455041 7.292755 6.371716 8.139261 7.807406 6.868361 7.754928 8.373298 7.639658 8.648994 8.402566 9.127618 9.492344 9.512679 9.582137 10.01061 10.36339 10.5303 10.40906 10.77627 
+  10.07956 9.123581 9.239129 7.188252 7.983877 7.36659 7.689083 7.349831 6.549315 7.351971 7.765708 8.071753 8.22062 8.234403 9.252606 9.165942 9.141379 9.528788 10.10328 10.09754 10.46661 10.03632 10.45256 
+  10.45638 9.177458 8.172346 6.487576 7.374524 7.649885 7.573339 6.959404 7.260113 6.734559 7.447418 8.466086 8.382314 8.260194 8.807273 9.042309 9.807338 9.552331 9.757251 10.22166 10.39291 10.50788 10.47725 
+  11.13613 7.758188 7.694408 7.91339 6.591579 7.690708 7.883243 6.817697 6.937893 6.617546 7.995504 8.199288 8.606889 7.930028 8.27558 9.028001 9.202659 9.807508 10.00867 10.30622 10.30117 10.22799 10.23392 
+  10.84375 8.658377 8.964039 7.577753 5.997756 6.243629 6.59042 7.667848 7.77693 7.160565 7.672915 8.214157 7.767068 8.187228 8.741798 9.008192 8.761507 9.775722 9.991219 10.50324 10.35022 10.56752 10.42405 
+  9.856415 8.33345 7.864082 7.394323 7.037837 7.429994 7.053414 8.148975 7.734139 7.73136 8.126728 8.250671 8.107525 8.775521 8.947971 9.013912 8.709566 9.952392 10.0177 10.55204 10.14417 10.48263 10.89007 
+  11.22424 8.785028 8.384821 6.571542 6.668182 6.510378 7.012306 7.705905 6.736544 7.154219 8.193804 7.920104 8.426934 8.557131 8.854219 9.46376 10.04807 9.964184 9.701237 9.969363 10.31233 9.983346 10.42036 
+  11.32489 8.361799 9.032561 7.834023 7.204043 6.074617 7.471241 8.117975 7.885279 7.726513 8.305443 8.50788 8.930935 8.875918 8.786529 9.071368 10.33387 9.977633 10.02416 10.06347 10.81268 11.20751 10.80103 
+  10.06941 6.52937 7.571665 6.465108 6.881132 6.903685 7.100048 7.664837 8.100976 8.205462 8.043177 8.448032 8.847051 8.371434 9.149493 9.756526 10.0323 9.265886 10.12252 10.04926 10.18163 10.70782 10.76523 
+  10.31685 7.024517 5.869543 5.841137 6.383105 6.215681 7.949264 7.746029 7.835628 7.861153 8.296052 8.204115 8.655869 8.276096 8.929706 8.994547 9.447945 9.700706 10.37251 10.27933 10.33522 10.72122 10.48557 
+  10.91509 7.91675 8.244367 6.124669 6.732698 7.492036 8.363312 8.124249 8.108838 7.358902 8.053522 7.411808 8.716305 8.342316 8.457804 9.005593 9.336573 10.05767 9.578779 10.344 10.4169 10.55184 10.60104 
+  10.32075 8.261191 8.136519 6.961864 6.799195 7.198459 7.713956 6.972926 6.764237 7.75519 7.804876 7.912869 8.563591 8.987835 9.309792 9.610885 9.492855 9.925476 10.05713 10.52021 10.62411 10.47692 10.59566 
+  9.86818 8.572285 8.530177 7.359343 7.294422 6.582515 6.642591 7.496963 7.95584 7.202435 7.878167 8.503516 8.365258 9.081302 8.992274 9.197975 9.750833 9.722472 9.760623 9.966175 10.59453 10.34588 10.6256 
+  10.25583 7.347171 7.843901 6.244213 6.5353 6.617674 7.064937 7.198507 6.530531 7.619411 7.706642 8.672579 8.665023 9.01842 9.258142 9.454097 9.65053 9.569846 10.16275 10.25629 10.61747 10.79843 11.0936 
+  11.3455 8.169881 7.368921 6.081739 7.016907 7.807951 8.699952 7.736558 6.748681 7.378449 7.852139 8.727378 9.049452 8.352005 9.397895 9.694369 9.896957 9.87398 9.838742 10.29402 10.58788 9.819412 10.6098 
+  11.90842 7.299352 8.247597 6.929464 5.668571 7.252095 8.041783 7.685021 7.479499 7.446598 7.486227 8.122455 8.321239 8.863303 8.986836 9.896532 10.01282 9.700945 10.13044 10.36466 10.79011 10.65473 10.96276 
+  11.22572 8.534163 7.996068 7.321532 6.95424 7.306089 8.242614 7.205853 7.210618 7.631306 8.128415 8.210221 7.745347 8.572201 9.164312 9.454391 9.143291 9.996038 9.919705 10.61216 10.94615 11.0497 10.50996 
+  11.99271 8.205185 9.120809 8.732939 7.727026 7.459247 9.017488 8.611053 9.431357 8.641321 9.48832 9.588237 9.180689 8.96218 9.460557 9.78753 10.30156 10.65017 10.35131 10.94515 12.2452 13.12846 12.19351 
+  11.79253 9.627811 9.291315 7.524522 6.52378 7.294258 8.705289 7.135509 8.226054 8.742827 9.064022 9.066143 8.709431 8.971881 9.728841 9.269897 9.861171 10.09128 10.07978 10.35271 10.13663 11.0843 11.13849 
+  10.56259 9.232968 9.15976 6.620336 6.150416 6.181613 7.583303 6.586105 7.54056 7.118359 8.163677 8.156444 8.354664 8.431437 9.365588 9.699803 9.425529 9.986162 10.02214 9.757886 9.986296 10.37123 11.12805 
+  11.46303 8.064131 8.81135 8.263533 7.772588 6.787446 7.045297 7.507244 7.852684 7.8141 8.464418 8.278731 8.368163 9.374079 9.125239 9.165322 8.79129 9.501587 10.15753 9.792738 10.41069 10.7875 10.81474 
+  11.05755 8.402949 8.103877 8.311771 7.382164 7.518039 8.082945 8.166703 8.587493 8.333583 7.051155 8.128522 9.163286 9.241158 9.282046 9.011143 9.606009 9.214875 9.92196 10.35358 10.19762 11.04288 11.07783 
+  9.634427 8.981845 9.008856 8.496973 8.026294 6.744306 7.501451 7.233029 7.99301 7.752292 7.717514 8.286538 9.62907 9.19305 8.897845 9.250588 9.401032 9.651338 10.04432 10.55263 10.60681 10.55907 10.44911 
+  9.16023 9.718575 9.712869 9.499995 9.118845 7.099794 7.596916 7.821012 7.377513 7.772183 8.825283 8.444467 8.374529 8.278049 8.336656 9.146471 9.616967 9.900914 9.985411 10.23762 10.56904 10.3051 10.82687 
+  10.26259 9.707577 7.891645 7.938838 8.196815 7.030812 7.729892 8.539984 7.097323 7.639617 8.26931 8.103879 8.820785 8.756143 8.088627 7.633537 8.861978 9.411267 9.507934 9.617286 10.103 10.32123 10.60248 
+  9.416736 8.067968 8.121611 8.702229 8.153371 7.398215 8.101689 7.075943 7.48716 7.682926 7.930077 7.562144 7.981254 8.482229 8.007603 8.850947 9.587449 9.971848 10.00796 10.0423 10.69032 11.02298 10.9979 
+  9.875791 9.180859 8.33131 7.329909 7.138772 6.531456 7.820087 7.730562 7.006549 7.355982 8.221857 7.397998 8.619684 9.434539 8.325085 8.88515 9.217641 10.11225 10.50192 10.39947 10.4549 10.84156 10.37869 
+  10.21343 8.826467 8.089176 7.33913 7.855656 7.318372 7.243741 7.606412 7.226522 7.431902 7.899468 8.143455 8.827127 9.14143 8.887341 8.847593 9.56572 9.84055 9.684552 9.931477 10.32066 10.90385 10.82047 
+  8.685722 8.634503 8.177417 7.393768 7.107471 7.263133 7.5967 7.938039 6.885909 7.359814 8.428015 8.861872 8.920212 7.885601 8.544594 9.326226 9.538568 9.941797 10.37305 10.73129 10.24279 10.99198 10.71185 
+  9.49738 9.815642 8.553341 7.461448 7.640052 7.98072 7.311526 8.038465 7.255682 6.560006 7.371539 7.967708 8.035154 7.652845 8.489419 9.47836 9.636602 9.799182 10.27001 10.54407 10.1862 10.5361 11.08353 
+  9.237267 8.263541 7.987866 7.640958 7.269582 6.937474 6.849837 7.717149 7.656352 7.173209 7.225511 7.958437 8.102967 8.547636 8.357112 8.845057 9.423195 9.327521 10.10193 10.10455 10.16159 10.10588 10.53935 
+  8.52638 7.134833 7.512567 7.138206 6.746409 7.367229 7.365469 6.383105 7.514528 7.68226 8.600569 8.164186 8.062187 8.582131 9.225581 9.787975 9.365478 9.480648 9.960615 9.841322 9.842931 10.30676 10.41945 
+  9.151896 6.975066 6.058979 7.529419 6.584132 6.413368 7.757835 7.395633 7.860129 7.49466 8.109066 7.873742 8.698033 9.225484 9.379223 9.214903 9.393662 9.46548 9.963161 10.11975 10.1148 10.09052 10.40652 
+  9.582273 6.791395 7.215298 7.381511 7.378876 7.854954 7.890674 7.242115 7.359837 7.425533 8.024413 7.492979 8.248519 8.686938 8.807583 9.178555 9.128061 9.372928 9.666212 9.78712 9.796471 10.31979 10.85505 ]

tests/unit/audio/features/testdata/pitch_feat.ark

+test_wav  [
+  0.4300044 238.1164 
+  0.7310953 238.1164 
+  0.0589752 238.1164 
+  0.3706925 238.1164 
+  0.6353879 238.1164 
+  0.4168843 238.1164 
+  0.7615743 238.1164 
+  0.7359886 238.1164 
+  0.5104555 238.1164 
+  0.843815 238.1164 
+  0.574707 238.1164 
+  0.8757079 238.1164 
+  0.8545787 238.1164 
+  0.5284878 238.1164 
+  0.8398617 238.1164 
+  0.8405749 238.1164 
+  0.7291093 238.1164 
+  0.3530312 238.1164 
+  0.8516902 238.1164 
+  0.8366287 238.1164 
+  0.7860549 238.1164 
+  0.7996263 238.1164 
+  0.8769377 238.1164 
+  0.8062987 238.1164 
+  0.5502667 238.1164 
+  0.8050084 236.9318 
+  0.8435217 235.753 
+  0.6781067 234.5801 
+  0.6275977 233.4131 
+  0.8354951 232.2518 
+  0.7898548 231.0963 
+  0.6786529 229.9466 
+  0.5784115 228.8026 
+  0.8078744 227.6642 
+  0.7860623 226.5316 
+  0.3529067 225.4046 
+  0.7398534 224.2832 
+  0.7554479 223.1673 
+  0.3688865 222.057 
+  0.431939 220.9523 
+  -0.2559481 219.853 
+  0.5161331 218.7592 
+  0.736354 217.6709 
+  0.2649688 216.5879 
+  0.6187224 215.5104 
+  0.8040497 214.4382 
+  0.4176693 213.3714 
+  0.7362868 212.3098 
+  0.6412426 211.2535 
+  0.01994592 210.2025 
+  -0.09901931 209.1568 
+  0.4139394 208.1162 
+  0.7458671 207.0808 
+  0.7015585 206.0505 
+  0.8989595 206.0505 
+  0.9356874 209.1568 
+  0.9370709 212.3098 
+  0.9640602 216.5879 
+  0.9851464 217.6709 
+  0.9874667 217.6709 
+  0.9662011 215.5104 
+  0.9561557 211.2535 
+  0.9835509 209.1568 
+  0.9764188 209.1568 
+  0.8779365 208.1162 
+  0.8911879 207.0808 
+  0.8716732 205.0254 
+  0.8663442 197.9909 
+  0.9105747 191.1978 
+  0.9614732 191.1978 
+  0.9704162 187.4211 
+  0.9690547 186.4887 
+  0.9596871 187.4211 
+  0.9392474 190.2465 
+  0.8951484 192.1537 
+  0.8852764 190.2465 
+  0.9345272 185.5609 
+  0.9304817 182.8051 
+  0.9600235 180.0902 
+  0.9829449 178.3027 
+  0.9876611 178.3027 
+  0.9889374 178.3027 
+  0.9911457 178.3027 
+  0.9835688 176.533 
+  0.9755108 175.6547 
+  0.9868198 174.7808 
+  0.9932452 175.6547 
+  0.9902206 175.6547 
+  0.9920143 176.533 
+  0.9922135 175.6547 
+  0.9892406 174.7808 
+  0.9888865 172.185 
+  0.9796383 172.185 
+  0.9825094 170.476 
+  0.9640273 170.476 
+  0.9416605 173.046 
+  0.9690976 173.9112 
+  0.9527848 173.9112 
+  0.8625391 173.046 
+  0.8571138 173.9112 
+  0.826855 174.7808 
+  0.8046249 176.533 
+  0.6064064 178.3027 
+  0.4831207 180.9906 
+  0.4654697 183.7191 
+  0.6392145 186.4887 
+  0.6342434 190.2465 
+  0.8626602 194.0801 
+  0.953752 194.0801 
+  0.987371 191.1978 
+  0.9915444 188.3582 
+  0.9920763 186.4887 
+  0.9898383 184.6377 
+  0.9908906 181.8956 
+  0.9892344 180.9906 
+  0.9779232 179.1942 
+  0.962887 175.6547 
+  0.9623674 170.476 
+  0.9719465 171.3284 
+  0.9843823 173.046 
+  0.9776363 173.9112 
+  0.9711902 173.9112 
+  0.9477384 172.185 
+  0.9629893 172.185 
+  0.9716213 173.9112 
+  0.9675733 176.533 
+  0.9643332 178.3027 
+  0.9592766 180.0902 
+  0.8798139 181.8956 
+  0.7133937 185.5609 
+  0.558998 190.2465 
+  0.3460312 196.0257 
+  0.645723 201.9805 
+  0.538826 208.1162 
+  0.6076745 216.5879 
+  0.5921855 228.8026 
+  0.8826846 238.1164 
+  0.9501736 242.9146 
+  0.9898381 245.3498 
+  0.9941772 245.3498 
+  0.9901065 246.5766 
+  0.9880084 247.8095 
+  0.9941741 249.0485 
+  0.9959649 249.0485 
+  0.9930359 250.2938 
+  0.9856881 252.8029 
+  0.9906433 252.8029 
+  0.9973371 252.8029 
+  0.9980655 252.8029 
+  0.9958057 251.5452 
+  0.9909865 250.2938 
+  0.990723 249.0485 
+  0.987911 249.0485 
+  0.9759061 251.5452 
+  0.9722236 251.5452 
+  0.9578422 251.5452 
+  0.936386 250.2938 
+  0.9094891 245.3498 
+  0.8420637 235.753 
+  0.6358631 218.7592 
+  0.757064 198.9809 
+  0.8944787 192.1537 
+  0.9415626 188.3582 
+  0.9400396 183.7191 
+  0.9019431 180.9906 
+  0.904547 175.6547 
+  0.8742625 173.046 
+  0.7475201 169.6279 
+  0.5156456 164.6269 
+  0.4781345 161.3751 
+  0.4000205 149.7427 
+  0.4614965 147.5188 
+  0.4422437 141.7487 
+  0.3527509 136.2042 
+  0.191848 130.2255 
+  0.3072545 128.2915 
+  0.5506754 127.0181 
+  0.6923887 129.5776 
+  0.6101584 132.8496 
+  0.3040284 138.2575 
+  0.1897903 155.8383 
+  0.4685728 164.6269 
+  0.5444003 164.6269 
+  0.5138596 162.9929 
+  0.5802024 160.5723 
+  0.2090085 160.5723 
+  0.2416739 162.9929 
+  0.2459603 168.784 
+  0.6345571 176.533 
+  0.5914032 184.6377 
+  0.4447052 193.1145 
+  0.2762254 201.9805 
+  0.2842087 212.3098 
+  -0.1974148 224.2832 
+  0.5095772 238.1164 
+  0.7442543 252.8029 
+  0.8915138 252.8029 
+  0.9569594 247.8095 
+  0.9625007 242.9146 
+  0.9194686 235.753 
+  0.8994824 227.6642 
+  0.9381443 218.7592 
+  0.7226841 219.853 
+  0.6949252 223.1673 
+  0.6777956 222.057 
+  0.7978759 214.4382 
+  0.8507771 209.1568 
+  0.7713854 211.2535 
+  0.6789038 211.2535 
+  0.7500904 206.0505 
+  0.7494768 204.0054 
+  0.7971382 206.0505 
+  0.8222839 206.0505 
+  0.7602305 200.9756 
+  0.6428912 197.0059 
+  0.6536841 193.1145 
+  0.7034875 188.3582 
+  0.5804744 181.8956 
+  0.4417492 173.046 
+  0.3494109 161.3751 
+  0.1981726 148.2564 
+  0.6261529 140.3417 
+  0.7587391 136.8852 
+  0.3861219 134.8523 
+  0.2585415 138.2575 
+  0.4469885 141.7487 
+  0.7737626 140.3417 
+  0.7246874 138.2575 
+  0.6511324 136.8852 
+  0.4254677 136.8852 
+  0.1780608 141.7487 
+  0.4341104 146.7849 
+  0.2834992 149.7427 
+  0.4845652 151.2439 
+  0.4879717 151.2439 
+  0.5601908 152.0001 
+  0.7019184 152.0001 
+  0.8482625 152.0001 
+  0.8672082 152.0001 
+  0.8626106 151.2439 
+  0.8626055 149.7427 
+  0.9013379 148.2564 
+  0.8793075 146.7849 
+  0.8914734 144.605 
+  0.8311929 141.7487 
+  0.6839114 139.6435 
+  0.5378032 136.8852 
+  0.3579432 131.531 
+  0.3721773 123.8897 
+  0.259927 118.4515 
+  0.4204291 116.1118 
+  0.7305987 117.2759 
+  0.6386622 122.6601 
+  0.4521356 127.0181 
+  0.1688575 132.1886 
+  0.2404094 136.8852 
+  0.161655 139.6435 
+  0.361738 140.3417 
+  -0.02500387 138.2575 
+  0.4358978 136.2042 
+  0.4791997 134.8523 
+  0.5491226 134.1814 
+  0.6218376 133.5138 
+  0.566164 133.5138 
+  0.6004029 134.1814 
+  0.4282176 134.8523 
+  0.2462277 135.5266 
+  0.468562 136.8852 
+  0.1709644 137.5696 
+  -0.1866998 138.2575 
+  -0.2322609 138.9488 
+  -0.3413201 138.9488 
+  -0.5628413 138.9488 
+  -0.3278477 138.2575 
+  -0.1193225 138.9488 
+  0.04384596 140.3417 
+  0.04935479 142.4574 
+  0.1841608 144.605 
+  0.5726393 147.5188 
+  0.6960948 151.2439 
+  0.7003101 153.5239 
+  0.7147154 155.8383 
+  0.7900128 158.9785 
+  0.7915136 160.5723 
+  0.8635668 162.9929 
+  0.9153162 167.1087 
+  0.9632365 168.784 
+  0.9837555 173.046 
+  0.9895447 174.7808 
+  0.9936979 178.3027 
+  0.9939244 180.0902 
+  0.9943298 180.9906 
+  0.9935455 183.7191 
+  0.9959602 184.6377 
+  0.9956325 184.6377 
+  0.9592334 185.5609 
+  0.8768551 189.3 
+  0.7307228 193.1145 
+  0.511133 192.1537 
+  0.6857247 188.3582 
+  0.9158598 184.6377 
+  0.9108561 186.4887 
+  0.9116812 187.4211 
+  0.9223366 187.4211 
+  0.8974369 188.3582 
+  0.8092315 189.3 
+  0.6424754 190.2465 
+  0.415496 193.1145 
+  -0.09486372 194.0801 
+  0.06201403 196.0257 
+  0.7022306 199.9758 
+  0.8596367 206.0505 
+  0.8891434 212.3098 
+  0.8837855 220.9523 
+  0.7532349 229.9466 
+  0.8273478 235.753 
+  0.8926229 240.5036 
+  0.9618158 242.9146 
+  0.9802947 242.9146 
+  0.9757999 241.7061 
+  0.9556377 236.9318 
+  0.9495205 228.8026 
+  0.8714783 222.057 
+  0.6913882 217.6709 
+  0.5996734 214.4382 
+  0.5818065 196.0257 
+  0.7346321 182.8051 
+  0.8720678 184.6377 
+  0.8043494 181.8956 
+  0.7913815 184.6377 
+  0.8019897 179.1942 
+  0.8272967 177.4156 
+  0.917188 173.9112 
+  0.948779 178.3027 
+  0.9491397 179.1942 
+  0.9660939 181.8956 
+  0.948925 181.8956 
+  0.9438759 183.7191 
+  0.9082419 182.8051 
+  0.8157918 182.8051 
+  0.7726267 183.7191 
+  0.7925529 184.6377 
+  0.82323 185.5609 
+  0.7710455 186.4887 
+  0.7245523 187.4211 
+  0.6725792 188.3582 
+  0.6098945 190.2465 
+  0.6053364 192.1537 
+  0.5669799 194.0801 
+  0.6425812 196.0257 
+  0.5920788 198.9809 
+  0.5982969 201.9805 
+  0.5845767 206.0505 
+  0.8673239 210.2025 
+  0.8958703 213.3714 
+  0.9322492 215.5104 
+  0.9763456 216.5879 
+  0.9871499 217.6709 
+  0.9847117 216.5879 
+  0.9803717 215.5104 
+  0.9864718 214.4382 
+  0.9891353 213.3714 
+  0.9886542 212.3098 
+  0.9887235 211.2535 
+  0.9895412 211.2535 
+  0.987739 210.2025 
+  0.9813522 211.2535 
+  0.979372 210.2025 
+  0.9715059 211.2535 
+  0.9659958 212.3098 
+  0.9582934 213.3714 
+  0.9457313 214.4382 
+  0.9001306 214.4382 
+  0.8375491 214.4382 
+  0.8580287 213.3714 
+  0.8090529 212.3098 
+  0.7204515 211.2535 
+  0.727868 211.2535 
+  0.8134795 211.2535 
+  0.7847017 212.3098 
+  0.855688 212.3098 
+  0.9308017 212.3098 
+  0.8832355 211.2535 
+  0.7976366 210.2025 
+  0.6125828 208.1162 
+  0.7335693 206.0505 
+  0.5974885 204.0054 
+  0.5784881 201.9805 
+  0.626056 199.9758 
+  0.3227086 197.9909 
+  0.4882276 196.0257 
+  0.5797763 194.0801 
+  0.6834005 191.1978 
+  0.8976591 190.2465 
+  0.9618267 188.3582 
+  0.9768698 185.5609 
+  0.9630268 181.8956 
+  0.951674 178.3027 
+  0.9476838 173.9112 
+  0.9517156 172.185 
+  0.9504529 169.6279 
+  0.9870636 169.6279 
+  0.9741296 168.784 
+  0.9508372 168.784 
+  0.90883 165.4501 
+  0.8581914 161.3751 
+  0.8267851 156.6175 
+  0.6312259 150.4914 
+  0.546525 146.7849 
+  0.5260749 146.7849 
+  0.4342186 153.5239 
+  0.492891 160.5723 
+  0.6401276 166.2773 
+  0.7607003 168.784 
+  0.8006893 169.6279 
+  0.754485 169.6279 
+  0.3563844 168.784 
+  0.2301813 168.784 
+  0.5213931 168.784 
+  0.4302804 169.6279 
+  0.203999 170.476 
+  0.5803608 172.185 
+  0.799207 173.9112 
+  0.7838959 175.6547 
+  0.6272278 177.4156 
+  0.5649745 179.1942 
+  0.1334038 180.9906 
+  0.4665532 182.8051 
+  0.7017906 184.6377 
+  0.574991 186.4887 
+  0.1776394 188.3582 
+  0.7058933 190.2465 
+  0.7285945 192.1537 
+  0.5696192 194.0801 
+  0.5714518 196.0257 
+  0.8047431 198.9809 
+  0.7406042 200.9756 
+  0.3201705 202.9904 
+  0.7420282 205.0254 
+  0.8154832 207.0808 
+  0.7317356 209.1568 
+  0.3067544 211.2535 
+  0.8014479 213.3714 
+  0.8102676 215.5104 
+  0.4439816 217.6709 
+  0.8234195 219.853 
+  0.7885534 222.057 
+  0.4245847 224.2832 
+  0.00418177 226.5316 
+  0.3035149 228.8026 
+  0.6538261 231.0963 
+  0.847946 233.4131 
+  0.6219971 235.753 
+  0.858582 236.9318 
+  0.8284138 239.307 
+  0.4044586 240.5036 
+  0.7807371 241.7061 
+  0.6421613 242.9146 
+  0.4366452 244.1292 
+  0.8172922 245.3498 
+  0.7077252 246.5766 
+  0.7137164 247.8095 
+  0.8416377 249.0485 
+  0.8084357 250.2938 
+  0.6429872 251.5452 
+  0.8479958 252.8029 
+  0.8376269 254.067 
+  0.5148344 255.3373 
+  0.8253111 256.614 
+  0.792549 257.8971 
+  0.7535735 259.1866 
+  0.08307214 260.4825 
+  0.7227954 261.7849 
+  0.7564813 264.4093 
+  0.4621202 265.7313 
+  0.4633192 267.06 
+  0.7247673 268.3953 
+  0.7581604 269.7372 
+  0.5511292 271.0859 
+  0.9282034 272.4414 
+  0.9706463 271.0859 
+  0.9854098 273.8036 
+  0.9971125 273.8036 
+  0.9954729 272.4414 
+  0.9888761 269.7372 
+  0.9950762 267.06 
+  0.9968371 269.7372 
+  0.9980098 269.7372 
+  0.997749 268.3953 
+  0.9915248 265.7313 
+  0.9653835 259.1866 
+  0.9663866 256.614 
+  0.9707376 259.1866 
+  0.9852746 263.0938 
+  0.982106 265.7313 
+  0.9469596 267.06 
+  0.9675582 264.4093 
+  0.9636477 261.7849 
+  0.9427549 257.8971 
+  0.7895892 251.5452 
+  0.8654758 245.3498 
+  0.5468963 235.753 
+  0.683558 220.9523 
+  0.8124123 211.2535 
+  0.9160304 205.0254 
+  0.9279389 197.0059 
+  0.9523526 191.1978 
+  0.9704132 186.4887 
+  0.9692958 185.5609 
+  0.9680378 184.6377 
+  0.9765167 184.6377 
+  0.9860514 182.8051 
+  0.9883636 182.8051 
+  0.9909548 181.8956 
+  0.991558 183.7191 
+  0.9909708 185.5609 
+  0.9903755 187.4211 
+  0.9908676 189.3 
+  0.9932029 191.1978 
+  0.9957952 191.1978 
+  0.9942914 191.1978 
+  0.9921359 189.3 
+  0.9943052 187.4211 
+  0.9959483 186.4887 
+  0.995445 188.3582 
+  0.9905357 190.2465 
+  0.9810765 189.3 
+  0.9172173 189.3 
+  0.8372061 189.3 
+  0.7548154 189.3 
+  0.7888815 189.3 
+  0.7481033 187.4211 
+  0.598231 181.8956 
+  0.4594265 180.9906 
+  0.3907863 181.8956 
+  0.3352165 180.9906 
+  0.1176405 178.3027 
+  0.07078327 173.046 
+  -0.04527154 169.6279 
+  -0.1348021 168.784 
+  0.04466751 167.1087 
+  0.09953013 164.6269 
+  0.0682964 162.182 
+  0.06978174 163.8079 
+  0.1322864 165.4501 
+  0.2013361 169.6279 
+  0.2920707 174.7808 
+  0.3333177 176.533 
+  0.3332107 176.533 
+  0.3530797 177.4156 
+  0.4650808 179.1942 
+  0.5486825 180.9906 
+  0.4580497 182.8051 
+  0.4908407 184.6377 
+  0.4697383 186.4887 
+  0.3304503 188.3582 
+  0.3914385 190.2465 
+  0.6257187 192.1537 
+  0.3618582 195.0505 
+  0.1043633 197.9909 
+  0.3943349 200.9756 
+  0.5306126 204.0054 
+  0.1373097 207.0808 
+  0.2010625 210.2025 
+  0.3670651 213.3714 
+  0.3145425 216.5879 
+  0.8130425 219.853 
+  0.8798357 222.057 
+  0.9403205 223.1673 
+  0.97297 224.2832 
+  0.9836287 223.1673 
+  0.9911686 222.057 
+  0.9915301 220.9523 
+  0.9894016 219.853 
+  0.9908847 218.7592 
+  0.9930059 217.6709 
+  0.9904228 217.6709 
+  0.962741 213.3714 
+  0.9670218 209.1568 
+  0.9779282 206.0505 
+  0.9113222 202.9904 
+  0.863717 196.0257 
+  0.7813085 193.1145 
+  0.7102375 197.0059 
+  0.6673803 201.9805 
+  0.7775867 202.9904 
+  0.8043374 204.0054 
+  0.7297218 200.9756 
+  0.5714095 197.0059 
+  0.5821126 194.0801 
+  0.7140544 193.1145 
+  0.7262678 194.0801 
+  0.7389845 195.0505 
+  0.7598057 196.0257 
+  0.7466297 197.9909 
+  0.6394933 199.9758 
+  0.6129577 201.9805 
+  0.672642 202.9904 
+  0.715472 202.9904 
+  0.7394825 202.9904 
+  0.5446303 202.9904 
+  0.7562882 202.9904 
+  0.7478679 202.9904 
+  0.3738182 201.9805 
+  0.7470279 200.9756 
+  0.7631992 199.9758 
+  0.4866134 198.9809 
+  0.6727687 197.9909 
+  0.6740197 197.0059 
+  0.5121869 196.0257 
+  0.5960711 195.0505 
+  0.4775652 194.0801 
+  0.7727789 193.1145 
+  0.7569727 192.1537 
+  0.3645771 190.2465 
+  0.7480979 188.3582 
+  0.669458 186.4887 
+  0.06009803 184.6377 
+  -0.2068706 182.8051 
+  0.2833839 180.9906 
+  0.6422815 179.1942 
+  0.3581112 177.4156 
+  0.2500266 175.6547 
+  0.3498747 173.9112 
+  0.569603 172.185 
+  0.097353 170.476 
+  0.3730714 168.784 
+  -0.1027659 167.1087 
+  -0.1343261 165.4501 
+  -0.1674749 163.8079 
+  -0.09346908 162.182 
+  0.02017644 160.5723 
+  0.01829195 158.9785 
+  0.2345988 157.4006 
+  0.254218 155.8383 
+  0.4619125 154.2915 
+  0.2792292 165.4501 
+  0.6047359 176.533 
+  0.7835823 178.3027 
+  0.8670148 175.6547 
+  0.9359789 173.9112 
+  0.9631585 175.6547 
+  0.9587292 176.533 
+  0.9695755 176.533 
+  0.9835575 179.1942 
+  0.9900097 179.1942 
+  0.9886937 180.0902 
+  0.9895495 180.9906 
+  0.9944302 183.7191 
+  0.9966992 183.7191 
+  0.9946688 186.4887 
+  0.992237 189.3 
+  0.9917749 191.1978 
+  0.9863276 192.1537 
+  0.9785607 192.1537 
+  0.9806378 190.2465 
+  0.9924863 189.3 
+  0.99017 188.3582 
+  0.9820646 187.4211 
+  0.9470521 188.3582 
+  0.8216711 187.4211 
+  0.7153458 190.2465 
+  0.7442878 193.1145 
+  0.5942695 196.0257 
+  0.5665525 197.0059 
+  0.535006 195.0505 
+  0.6266476 193.1145 
+  0.6059493 194.0801 
+  0.6425897 198.9809 
+  0.8118222 206.0505 
+  0.8551767 210.2025 
+  0.8889339 211.2535 
+  0.947816 211.2535 
+  0.9787855 209.1568 
+  0.988611 208.1162 
+  0.987321 207.0808 
+  0.9843316 205.0254 
+  0.9737096 204.0054 
+  0.9765185 202.9904 
+  0.9856598 202.9904 
+  0.9898718 204.0054 
+  0.9886413 204.0054 
+  0.989678 202.9904 
+  0.9851701 200.9756 
+  0.9817263 198.9809 
+  0.9766667 196.0257 
+  0.9717003 194.0801 
+  0.9652438 193.1145 
+  0.9332103 193.1145 
+  0.9138572 194.0801 
+  0.8846416 194.0801 
+  0.9482771 195.0505 
+  0.9305538 196.0257 
+  0.8390872 197.0059 
+  0.7701216 197.9909 
+  0.7264634 197.9909 
+  0.7708728 197.9909 
+  0.8309863 197.9909 
+  0.8339165 197.9909 
+  0.723191 197.0059 
+  0.7247626 196.0257 
+  0.608819 195.0505 
+  0.3213559 194.0801 
+  0.2234745 193.1145 
+  -0.02573975 191.1978 
+  0.05725723 189.3 
+  0.218053 187.4211 
+  0.4777128 185.5609 
+  0.5337029 182.8051 
+  0.2318052 180.0902 
+  0.4889631 177.4156 
+  0.08109105 174.7808 
+  0.7427355 172.185 
+  0.8433576 171.3284 
+  0.938632 170.476 
+  0.9607551 168.784 
+  0.9642593 167.1087 
+  0.963613 166.2773 
+  0.9651926 167.1087 
+  0.9591027 168.784 
+  0.9754831 172.185 
+  0.9820764 176.533 
+  0.9875088 180.0902 
+  0.9851621 181.8956 
+  0.9825414 183.7191 
+  0.9723955 185.5609 
+  0.9567259 187.4211 
+  0.8835074 189.3 
+  0.8628154 192.1537 
+  0.9157982 195.0505 
+  0.5938084 198.9809 
+  0.6943321 209.1568 
+  0.7714629 212.3098 
+  0.8662375 211.2535 
+  0.849728 205.0254 
+  0.7945137 196.0257 
+  0.7933522 188.3582 
+  0.6368725 178.3027 
+  0.5897154 167.1087 
+  0.3229582 158.1876 
+  0.2969382 144.605 
+  0.3351896 141.7487 
+  0.384491 146.0546 
+  0.04096958 151.2439 
+  0.1369363 172.185 
+  0.3727793 180.9906 
+  0.4194036 183.7191 
+  0.4396896 185.5609 
+  0.5275242 185.5609 
+  0.2498598 186.4887 
+  0.05898202 190.2465 
+  0.04901373 195.0505 
+  0.1100158 197.9909 
+  0.2187118 198.9809 
+  0.4847157 197.9909 
+  0.4972816 197.9909 
+  0.5150168 198.9809 
+  0.5341532 200.9756 
+  0.2631531 202.9904 
+  0.1344986 205.0254 
+  0.1769232 207.0808 
+  0.2019505 209.1568 
+  0.3217678 211.2535 
+  0.366561 213.3714 
+  0.3891162 215.5104 
+  0.3456501 217.6709 
+  0.3461981 219.853 
+  0.1349857 222.057 
+  0.06558777 224.2832 
+  0.397542 226.5316 
+  0.697022 228.8026 
+  0.4396819 231.0963 
+  0.7819827 233.4131 
+  0.7121504 235.753 
+  0.2208821 238.1164 
+  0.7816582 240.5036 
+  0.7002975 242.9146 
+  0.03593514 245.3498 
+  0.1999688 247.8095 
+  0.6519101 249.0485 
+  0.5185443 251.5452 
+  0.9164662 254.067 
+  0.9069665 255.3373 
+  0.9549389 254.067 
+  0.9885621 252.8029 
+  0.9925307 251.5452 
+  0.9942389 249.0485 
+  0.996495 249.0485 
+  0.9955549 247.8095 
+  0.9936098 246.5766 
+  0.980476 245.3498 
+  0.9671 246.5766 
+  0.9642795 249.0485 
+  0.9722587 249.0485 
+  0.974653 249.0485 
+  0.9627596 247.8095 
+  0.9594576 247.8095 
+  0.9352374 247.8095 
+  0.9516878 246.5766 
+  0.9676836 245.3498 
+  0.9551129 246.5766 
+  0.9023392 249.0485 
+  0.8472683 251.5452 
+  0.8856258 254.067 
+  0.8884159 255.3373 
+  0.9254211 255.3373 
+  0.9612991 254.067 
+  0.9673759 250.2938 
+  0.9728466 245.3498 
+  0.967782 242.9146 
+  0.9654288 240.5036 
+  0.9444144 238.1164 
+  0.9269778 236.9318 
+  0.9488637 236.9318 
+  0.9771202 236.9318 
+  0.9830479 235.753 
+  0.97499 234.5801 
+  0.968623 233.4131 
+  0.9521769 233.4131 
+  0.9390221 233.4131 
+  0.9339334 233.4131 
+  0.887956 232.2518 
+  0.9046763 231.0963 
+  0.8827981 229.9466 
+  0.8236388 231.0963 
+  0.7853005 231.0963 
+  0.8529194 229.9466 
+  0.8421693 227.6642 
+  0.880672 224.2832 
+  0.8143209 219.853 
+  0.8765387 215.5104 
+  0.8224545 210.2025 
+  0.5476995 204.0054 
+  0.3984698 197.0059 
+  0.2524756 189.3 
+  0.0114817 180.9906 
+  0.2040667 172.185 
+  -0.1669366 163.8079 
+  0.504205 154.2915 
+  0.7180874 151.2439 
+  0.8632782 151.2439 
+  0.8973259 150.4914 
+  0.9185986 151.2439 
+  0.7587776 154.2915 
+  0.7147576 159.7734 
+  0.7589291 165.4501 
+  0.8840488 171.3284 
+  0.972356 175.6547 
+  0.9816653 179.1942 
+  0.988443 180.9906 
+  0.9923041 181.8956 
+  0.9943824 182.8051 
+  0.9964477 183.7191 
+  0.9936554 181.8956 
+  0.9887792 180.0902 
+  0.9771134 175.6547 
+  0.9618319 170.476 
+  0.9328524 167.9442 
+  0.819974 168.784 
+  0.8450117 170.476 
+  0.8293109 171.3284 
+  0.6963592 171.3284 
+  0.6338254 164.6269 
+  0.7285098 158.9785 
+  0.7664092 154.2915 
+  0.8064316 152.0001 
+  0.9278697 152.0001 
+  0.9533199 151.2439 
+  0.9601526 149.7427 
+  0.9562845 148.9977 
+  0.963026 149.7427 
+  0.9602929 149.7427 
+  0.8744306 150.4914 
+  0.5927675 154.2915 
+  0.3564559 159.7734 
+  0.2405773 164.6269 
+  0.2860079 169.6279 
+  0.6529107 173.9112 
+  0.835753 176.533 
+  0.8849658 179.1942 
+  0.875807 180.9906 
+  0.823069 182.8051 
+  0.6626108 184.6377 
+  0.2836408 187.4211 
+  0.6051244 190.2465 
+  0.7253854 193.1145 
+  0.765985 196.0257 
+  0.8194041 198.9809 
+  0.6263421 201.9805 
+  0.8017131 205.0254 
+  0.682602 209.1568 
+  0.5036187 213.3714 
+  0.5814967 218.7592 
+  0.814868 224.2832 
+  0.8269848 229.9466 
+  0.7358219 235.753 
+  0.4268066 241.7061 
+  0.8835183 247.8095 
+  0.8267587 254.067 
+  0.5491355 259.1866 
+  0.8746379 264.4093 
+  0.8389229 269.7372 
+  0.6826822 275.1726 
+  0.9028191 280.7175 
+  0.8286572 286.3741 
+  0.4525082 292.1447 
+  0.7583002 298.0316 
+  0.9073849 304.037 
+  0.9051184 310.1635 
+  0.64346 316.4135 
+  0.9253378 322.7894 
+  0.9132795 329.2938 
+  0.6598362 334.2579 
+  0.9356085 339.2969 
+  0.9236958 344.4118 
+  0.8228285 349.6039 
+  0.9376769 354.8742 
+  0.9356694 360.224 
+  0.9184375 365.6544 
+  0.9058462 371.1667 
+  0.9012623 374.8877 
+  0.9611984 378.6459 
+  0.9567629 382.4419 
+  0.7675866 384.3541 
+  0.9645271 386.2758 
+  0.9546855 388.2072 
+  0.7844603 388.2072 
+  0.9640375 388.2072 
+  0.9452955 388.2072 
+  0.5753929 388.2072 
+  0.394645 388.2072 
+  0.5464906 388.2072 
+  0.7876784 388.2072 
+  0.7982122 388.2072 
+  0.5932955 388.2072 
+  0.4936025 388.2072 
+  0.7250561 388.2072 
+  0.6559195 388.2072 
+  0.7656435 388.2072 
+  0.9420093 388.2072 
+  0.7749707 388.2072 ]