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    Last update 6 years 3 months by Olivier Gillet
    Fileselements
    ..
    bootloader
    drivers
    dsp
    hardware_design
    resources
    samples
    test
    __init__.py
    cv_scaler.cc
    cv_scaler.h
    elements.cc
    makefile
    meter.h
    resources.cc
    resources.h
    ui.cc
    ui.h
    		 
    resources.cc
    // Copyright 2014 Olivier Gillet.
//
// Author: Olivier Gillet (ol.gillet@gmail.com)
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// 
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
// 
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.
// 
// See http://creativecommons.org/licenses/MIT/ for more information.
//
// -----------------------------------------------------------------------------
//
// Resources definitions.
//
// Automatically generated with:
// make resources


#include "elements/resources.h"

namespace elements {

const int16_t lut_db_led_brightness[] = {
       0,      0,     28,     45,
      56,     66,     73,     79,
      85,     90,     94,     98,
     101,    105,    108,    111,
     113,    116,    118,    120,
     122,    124,    126,    128,
     130,    132,    133,    135,
     136,    138,    139,    140,
     142,    143,    144,    145,
     147,    148,    149,    150,
     151,    152,    153,    154,
     155,    156,    157,    157,
     158,    159,    160,    161,
     162,    162,    163,    164,
     165,    165,    166,    167,
     168,    168,    169,    170,
     170,    171,    171,    172,
     173,    173,    174,    174,
     175,    176,    176,    177,
     177,    178,    178,    179,
     179,    180,    180,    181,
     181,    182,    182,    183,
     183,    184,    184,    185,
     185,    186,    186,    186,
     187,    187,    188,    188,
     188,    189,    189,    190,
     190,    190,    191,    191,
     192,    192,    192,    193,
     193,    193,    194,    194,
     195,    195,    195,    196,
     196,    196,    197,    197,
     197,    198,    198,    198,
     199,    199,    199,    200,
     200,    200,    200,    201,
     201,    201,    202,    202,
     202,    203,    203,    203,
     203,    204,    204,    204,
     205,    205,    205,    205,
     206,    206,    206,    206,
     207,    207,    207,    208,
     208,    208,    208,    209,
     209,    209,    209,    210,
     210,    210,    210,    210,
     211,    211,    211,    211,
     212,    212,    212,    212,
     213,    213,    213,    213,
     214,    214,    214,    214,
     214,    215,    215,    215,
     215,    215,    216,    216,
     216,    216,    217,    217,
     217,    217,    217,    218,
     218,    218,    218,    218,
     219,    219,    219,    219,
     219,    220,    220,    220,
     220,    220,    220,    221,
     221,    221,    221,    221,
     222,    222,    222,    222,
     222,    222,    223,    223,
     223,    223,    223,    224,
     224,    224,    224,    224,
     224,    225,    225,    225,
     225,    225,    225,    226,
     226,    226,    226,    226,
     226,    227,    227,    227,
     227,    227,    227,    228,
     228,    228,    228,    228,
     228,    228,    229,    229,
     229,    229,    229,    229,
     230,    230,    230,    230,
     230,    230,    230,    231,
     231,    231,    231,    231,
     231,    231,    232,    232,
     232,    232,    232,    232,
     232,    233,    233,    233,
     233,    233,    233,    233,
     234,    234,    234,    234,
     234,    234,    234,    235,
     235,    235,    235,    235,
     235,    235,    235,    236,
     236,    236,    236,    236,
     236,    236,    236,    237,
     237,    237,    237,    237,
     237,    237,    237,    238,
     238,    238,    238,    238,
     238,    238,    238,    239,
     239,    239,    239,    239,
     239,    239,    239,    240,
     240,    240,    240,    240,
     240,    240,    240,    240,
     241,    241,    241,    241,
     241,    241,    241,    241,
     241,    242,    242,    242,
     242,    242,    242,    242,
     242,    243,    243,    243,
     243,    243,    243,    243,
     243,    243,    243,    244,
     244,    244,    244,    244,
     244,    244,    244,    244,
     245,    245,    245,    245,
     245,    245,    245,    245,
     245,    245,    246,    246,
     246,    246,    246,    246,
     246,    246,    246,    246,
     247,    247,    247,    247,
     247,    247,    247,    247,
     247,    247,    248,    248,
     248,    248,    248,    248,
     248,    248,    248,    248,
     249,    249,    249,    249,
     249,    249,    249,    249,
     249,    249,    249,    250,
     250,    250,    250,    250,
     250,    250,    250,    250,
     250,    250,    251,    251,
     251,    251,    251,    251,
     251,    251,    251,    251,
     251,    252,    252,    252,
     252,    252,    252,    252,
     252,    252,    252,    252,
     253,    253,    253,    253,
     253,    253,    253,    253,
     253,    253,    253,    253,
     254,    254,    254,    254,
     254,    254,    254,    254,
     254,    254,    254,    254,
     255,    255,    255,    255,
     255,    255,    255,    255,
     255,    255,    255,    255,
     255,
};


const int16_t* lookup_table_int16_table[] = {
  lut_db_led_brightness,
};



const uint32_t* lookup_table_uint32_table[] = {
};

const float lut_sine[] = {
   0.000000000e+00,  1.533980186e-03,  3.067956763e-03,  4.601926120e-03,
   6.135884649e-03,  7.669828740e-03,  9.203754782e-03,  1.073765917e-02,
   1.227153829e-02,  1.380538853e-02,  1.533920628e-02,  1.687298795e-02,
   1.840672991e-02,  1.994042855e-02,  2.147408028e-02,  2.300768147e-02,
   2.454122852e-02,  2.607471783e-02,  2.760814578e-02,  2.914150876e-02,
   3.067480318e-02,  3.220802541e-02,  3.374117185e-02,  3.527423890e-02,
   3.680722294e-02,  3.834012037e-02,  3.987292759e-02,  4.140564098e-02,
   4.293825693e-02,  4.447077185e-02,  4.600318213e-02,  4.753548416e-02,
   4.906767433e-02,  5.059974904e-02,  5.213170468e-02,  5.366353765e-02,
   5.519524435e-02,  5.672682117e-02,  5.825826450e-02,  5.978957075e-02,
   6.132073630e-02,  6.285175756e-02,  6.438263093e-02,  6.591335280e-02,
   6.744391956e-02,  6.897432763e-02,  7.050457339e-02,  7.203465325e-02,
   7.356456360e-02,  7.509430085e-02,  7.662386139e-02,  7.815324163e-02,
   7.968243797e-02,  8.121144681e-02,  8.274026455e-02,  8.426888759e-02,
   8.579731234e-02,  8.732553521e-02,  8.885355258e-02,  9.038136088e-02,
   9.190895650e-02,  9.343633585e-02,  9.496349533e-02,  9.649043136e-02,
   9.801714033e-02,  9.954361866e-02,  1.010698628e-01,  1.025958690e-01,
   1.041216339e-01,  1.056471537e-01,  1.071724250e-01,  1.086974440e-01,
   1.102222073e-01,  1.117467112e-01,  1.132709522e-01,  1.147949266e-01,
   1.163186309e-01,  1.178420615e-01,  1.193652148e-01,  1.208880872e-01,
   1.224106752e-01,  1.239329751e-01,  1.254549834e-01,  1.269766965e-01,
   1.284981108e-01,  1.300192227e-01,  1.315400287e-01,  1.330605252e-01,
   1.345807085e-01,  1.361005752e-01,  1.376201216e-01,  1.391393442e-01,
   1.406582393e-01,  1.421768035e-01,  1.436950332e-01,  1.452129247e-01,
   1.467304745e-01,  1.482476790e-01,  1.497645347e-01,  1.512810380e-01,
   1.527971853e-01,  1.543129730e-01,  1.558283977e-01,  1.573434556e-01,
   1.588581433e-01,  1.603724572e-01,  1.618863938e-01,  1.633999494e-01,
   1.649131205e-01,  1.664259035e-01,  1.679382950e-01,  1.694502912e-01,
   1.709618888e-01,  1.724730840e-01,  1.739838734e-01,  1.754942534e-01,
   1.770042204e-01,  1.785137709e-01,  1.800229014e-01,  1.815316083e-01,
   1.830398880e-01,  1.845477369e-01,  1.860551517e-01,  1.875621286e-01,
   1.890686641e-01,  1.905747548e-01,  1.920803970e-01,  1.935855873e-01,
   1.950903220e-01,  1.965945977e-01,  1.980984107e-01,  1.996017576e-01,
   2.011046348e-01,  2.026070388e-01,  2.041089661e-01,  2.056104131e-01,
   2.071113762e-01,  2.086118520e-01,  2.101118369e-01,  2.116113274e-01,
   2.131103199e-01,  2.146088110e-01,  2.161067971e-01,  2.176042746e-01,
   2.191012402e-01,  2.205976901e-01,  2.220936210e-01,  2.235890292e-01,
   2.250839114e-01,  2.265782638e-01,  2.280720832e-01,  2.295653658e-01,
   2.310581083e-01,  2.325503070e-01,  2.340419586e-01,  2.355330594e-01,
   2.370236060e-01,  2.385135948e-01,  2.400030224e-01,  2.414918853e-01,
   2.429801799e-01,  2.444679027e-01,  2.459550503e-01,  2.474416192e-01,
   2.489276057e-01,  2.504130066e-01,  2.518978182e-01,  2.533820370e-01,
   2.548656596e-01,  2.563486825e-01,  2.578311022e-01,  2.593129151e-01,
   2.607941179e-01,  2.622747070e-01,  2.637546790e-01,  2.652340303e-01,
   2.667127575e-01,  2.681908571e-01,  2.696683256e-01,  2.711451595e-01,
   2.726213554e-01,  2.740969099e-01,  2.755718193e-01,  2.770460803e-01,
   2.785196894e-01,  2.799926431e-01,  2.814649379e-01,  2.829365705e-01,
   2.844075372e-01,  2.858778347e-01,  2.873474595e-01,  2.888164082e-01,
   2.902846773e-01,  2.917522632e-01,  2.932191627e-01,  2.946853722e-01,
   2.961508882e-01,  2.976157074e-01,  2.990798263e-01,  3.005432414e-01,
   3.020059493e-01,  3.034679466e-01,  3.049292297e-01,  3.063897954e-01,
   3.078496400e-01,  3.093087603e-01,  3.107671527e-01,  3.122248139e-01,
   3.136817404e-01,  3.151379288e-01,  3.165933756e-01,  3.180480774e-01,
   3.195020308e-01,  3.209552324e-01,  3.224076788e-01,  3.238593665e-01,
   3.253102922e-01,  3.267604523e-01,  3.282098436e-01,  3.296584625e-01,
   3.311063058e-01,  3.325533699e-01,  3.339996514e-01,  3.354451471e-01,
   3.368898534e-01,  3.383337670e-01,  3.397768844e-01,  3.412192023e-01,
   3.426607173e-01,  3.441014260e-01,  3.455413250e-01,  3.469804108e-01,
   3.484186802e-01,  3.498561298e-01,  3.512927561e-01,  3.527285558e-01,
   3.541635254e-01,  3.555976617e-01,  3.570309612e-01,  3.584634206e-01,
   3.598950365e-01,  3.613258056e-01,  3.627557244e-01,  3.641847896e-01,
   3.656129978e-01,  3.670403457e-01,  3.684668300e-01,  3.698924471e-01,
   3.713171940e-01,  3.727410670e-01,  3.741640630e-01,  3.755861785e-01,
   3.770074102e-01,  3.784277548e-01,  3.798472089e-01,  3.812657692e-01,
   3.826834324e-01,  3.841001950e-01,  3.855160538e-01,  3.869310055e-01,
   3.883450467e-01,  3.897581741e-01,  3.911703843e-01,  3.925816741e-01,
   3.939920401e-01,  3.954014789e-01,  3.968099874e-01,  3.982175622e-01,
   3.996241998e-01,  4.010298972e-01,  4.024346509e-01,  4.038384576e-01,
   4.052413140e-01,  4.066432169e-01,  4.080441629e-01,  4.094441487e-01,
   4.108431711e-01,  4.122412267e-01,  4.136383122e-01,  4.150344245e-01,
   4.164295601e-01,  4.178237158e-01,  4.192168884e-01,  4.206090744e-01,
   4.220002708e-01,  4.233904741e-01,  4.247796812e-01,  4.261678887e-01,
   4.275550934e-01,  4.289412921e-01,  4.303264813e-01,  4.317106580e-01,
   4.330938189e-01,  4.344759606e-01,  4.358570799e-01,  4.372371737e-01,
   4.386162385e-01,  4.399942713e-01,  4.413712687e-01,  4.427472276e-01,
   4.441221446e-01,  4.454960165e-01,  4.468688402e-01,  4.482406123e-01,
   4.496113297e-01,  4.509809890e-01,  4.523495872e-01,  4.537171210e-01,
   4.550835871e-01,  4.564489824e-01,  4.578133036e-01,  4.591765475e-01,
   4.605387110e-01,  4.618997907e-01,  4.632597836e-01,  4.646186863e-01,
   4.659764958e-01,  4.673332087e-01,  4.686888220e-01,  4.700433325e-01,
   4.713967368e-01,  4.727490320e-01,  4.741002147e-01,  4.754502817e-01,
   4.767992301e-01,  4.781470564e-01,  4.794937577e-01,  4.808393306e-01,
   4.821837721e-01,  4.835270789e-01,  4.848692480e-01,  4.862102761e-01,
   4.875501601e-01,  4.888888969e-01,  4.902264833e-01,  4.915629161e-01,
   4.928981922e-01,  4.942323085e-01,  4.955652618e-01,  4.968970490e-01,
   4.982276670e-01,  4.995571125e-01,  5.008853826e-01,  5.022124740e-01,
   5.035383837e-01,  5.048631085e-01,  5.061866453e-01,  5.075089911e-01,
   5.088301425e-01,  5.101500967e-01,  5.114688504e-01,  5.127864006e-01,
   5.141027442e-01,  5.154178780e-01,  5.167317990e-01,  5.180445041e-01,
   5.193559902e-01,  5.206662541e-01,  5.219752929e-01,  5.232831035e-01,
   5.245896827e-01,  5.258950275e-01,  5.271991348e-01,  5.285020015e-01,
   5.298036247e-01,  5.311040012e-01,  5.324031279e-01,  5.337010018e-01,
   5.349976199e-01,  5.362929791e-01,  5.375870763e-01,  5.388799085e-01,
   5.401714727e-01,  5.414617659e-01,  5.427507849e-01,  5.440385267e-01,
   5.453249884e-01,  5.466101669e-01,  5.478940592e-01,  5.491766622e-01,
   5.504579729e-01,  5.517379884e-01,  5.530167056e-01,  5.542941215e-01,
   5.555702330e-01,  5.568450373e-01,  5.581185312e-01,  5.593907119e-01,
   5.606615762e-01,  5.619311212e-01,  5.631993440e-01,  5.644662415e-01,
   5.657318108e-01,  5.669960488e-01,  5.682589527e-01,  5.695205193e-01,
   5.707807459e-01,  5.720396293e-01,  5.732971667e-01,  5.745533550e-01,
   5.758081914e-01,  5.770616729e-01,  5.783137964e-01,  5.795645591e-01,
   5.808139581e-01,  5.820619903e-01,  5.833086529e-01,  5.845539430e-01,
   5.857978575e-01,  5.870403935e-01,  5.882815482e-01,  5.895213186e-01,
   5.907597019e-01,  5.919966950e-01,  5.932322950e-01,  5.944664992e-01,
   5.956993045e-01,  5.969307081e-01,  5.981607070e-01,  5.993892984e-01,
   6.006164794e-01,  6.018422471e-01,  6.030665985e-01,  6.042895309e-01,
   6.055110414e-01,  6.067311270e-01,  6.079497850e-01,  6.091670123e-01,
   6.103828063e-01,  6.115971639e-01,  6.128100824e-01,  6.140215589e-01,
   6.152315906e-01,  6.164401745e-01,  6.176473079e-01,  6.188529880e-01,
   6.200572118e-01,  6.212599765e-01,  6.224612794e-01,  6.236611175e-01,
   6.248594881e-01,  6.260563884e-01,  6.272518155e-01,  6.284457666e-01,
   6.296382389e-01,  6.308292296e-01,  6.320187359e-01,  6.332067551e-01,
   6.343932842e-01,  6.355783205e-01,  6.367618612e-01,  6.379439036e-01,
   6.391244449e-01,  6.403034822e-01,  6.414810128e-01,  6.426570340e-01,
   6.438315429e-01,  6.450045368e-01,  6.461760130e-01,  6.473459686e-01,
   6.485144010e-01,  6.496813074e-01,  6.508466850e-01,  6.520105311e-01,
   6.531728430e-01,  6.543336178e-01,  6.554928530e-01,  6.566505457e-01,
   6.578066933e-01,  6.589612930e-01,  6.601143421e-01,  6.612658378e-01,
   6.624157776e-01,  6.635641586e-01,  6.647109782e-01,  6.658562337e-01,
   6.669999223e-01,  6.681420414e-01,  6.692825883e-01,  6.704215604e-01,
   6.715589548e-01,  6.726947691e-01,  6.738290004e-01,  6.749616461e-01,
   6.760927036e-01,  6.772221701e-01,  6.783500431e-01,  6.794763199e-01,
   6.806009978e-01,  6.817240742e-01,  6.828455464e-01,  6.839654118e-01,
   6.850836678e-01,  6.862003117e-01,  6.873153409e-01,  6.884287528e-01,
   6.895405447e-01,  6.906507141e-01,  6.917592584e-01,  6.928661748e-01,
   6.939714609e-01,  6.950751140e-01,  6.961771315e-01,  6.972775108e-01,
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  -1.467304745e-01, -1.452129247e-01, -1.436950332e-01, -1.421768035e-01,
  -1.406582393e-01, -1.391393442e-01, -1.376201216e-01, -1.361005752e-01,
  -1.345807085e-01, -1.330605252e-01, -1.315400287e-01, -1.300192227e-01,
  -1.284981108e-01, -1.269766965e-01, -1.254549834e-01, -1.239329751e-01,
  -1.224106752e-01, -1.208880872e-01, -1.193652148e-01, -1.178420615e-01,
  -1.163186309e-01, -1.147949266e-01, -1.132709522e-01, -1.117467112e-01,
  -1.102222073e-01, -1.086974440e-01, -1.071724250e-01, -1.056471537e-01,
  -1.041216339e-01, -1.025958690e-01, -1.010698628e-01, -9.954361866e-02,
  -9.801714033e-02, -9.649043136e-02, -9.496349533e-02, -9.343633585e-02,
  -9.190895650e-02, -9.038136088e-02, -8.885355258e-02, -8.732553521e-02,
  -8.579731234e-02, -8.426888759e-02, -8.274026455e-02, -8.121144681e-02,
  -7.968243797e-02, -7.815324163e-02, -7.662386139e-02, -7.509430085e-02,
  -7.356456360e-02, -7.203465325e-02, -7.050457339e-02, -6.897432763e-02,
  -6.744391956e-02, -6.591335280e-02, -6.438263093e-02, -6.285175756e-02,
  -6.132073630e-02, -5.978957075e-02, -5.825826450e-02, -5.672682117e-02,
  -5.519524435e-02, -5.366353765e-02, -5.213170468e-02, -5.059974904e-02,
  -4.906767433e-02, -4.753548416e-02, -4.600318213e-02, -4.447077185e-02,
  -4.293825693e-02, -4.140564098e-02, -3.987292759e-02, -3.834012037e-02,
  -3.680722294e-02, -3.527423890e-02, -3.374117185e-02, -3.220802541e-02,
  -3.067480318e-02, -2.914150876e-02, -2.760814578e-02, -2.607471783e-02,
  -2.454122852e-02, -2.300768147e-02, -2.147408028e-02, -1.994042855e-02,
  -1.840672991e-02, -1.687298795e-02, -1.533920628e-02, -1.380538853e-02,
  -1.227153829e-02, -1.073765917e-02, -9.203754782e-03, -7.669828740e-03,
  -6.135884649e-03, -4.601926120e-03, -3.067956763e-03, -1.533980186e-03,
   0.000000000e+00,
};
const float lut_approx_svf_gain[] = {
   4.200005822e+02,  4.099237183e+02,  4.000886248e+02,  3.904895013e+02,
   3.811206860e+02,  3.719766535e+02,  3.630520105e+02,  3.543414934e+02,
   3.458399648e+02,  3.375424105e+02,  3.294439367e+02,  3.215397669e+02,
   3.138252394e+02,  3.062958040e+02,  2.989470201e+02,  2.917745534e+02,
   2.847741734e+02,  2.779417516e+02,  2.712732582e+02,  2.647647601e+02,
   2.584124186e+02,  2.522124872e+02,  2.461613092e+02,  2.402553157e+02,
   2.344910233e+02,  2.288650323e+02,  2.233740245e+02,  2.180147614e+02,
   2.127840820e+02,  2.076789014e+02,  2.026962086e+02,  1.978330648e+02,
   1.930866017e+02,  1.884540199e+02,  1.839325872e+02,  1.795196368e+02,
   1.752125660e+02,  1.710088345e+02,  1.669059630e+02,  1.629015316e+02,
   1.589931786e+02,  1.551785987e+02,  1.514555423e+02,  1.478218134e+02,
   1.442752690e+02,  1.408138172e+02,  1.374354166e+02,  1.341380745e+02,
   1.309198463e+02,  1.277788338e+02,  1.247131845e+02,  1.217210903e+02,
   1.188007864e+02,  1.159505505e+02,  1.131687016e+02,  1.104535989e+02,
   1.078036410e+02,  1.052172651e+02,  1.026929457e+02,  1.002291939e+02,
   9.782455678e+01,  9.547761595e+01,  9.318698724e+01,  9.095131966e+01,
   8.876929461e+01,  8.663962515e+01,  8.456105523e+01,  8.253235890e+01,
   8.055233966e+01,  7.861982970e+01,  7.673368925e+01,  7.489280586e+01,
   7.309609380e+01,  7.134249337e+01,  6.963097031e+01,  6.796051518e+01,
   6.633014275e+01,  6.473889143e+01,  6.318582273e+01,  6.167002064e+01,
   6.019059116e+01,  5.874666173e+01,  5.733738072e+01,  5.596191696e+01,
   5.461945919e+01,  5.330921566e+01,  5.203041357e+01,  5.078229872e+01,
   4.956413495e+01,  4.837520382e+01,  4.721480409e+01,  4.608225136e+01,
   4.497687768e+01,  4.389803108e+01,  4.284507528e+01,  4.181738925e+01,
   4.081436686e+01,  3.983541654e+01,  3.887996092e+01,  3.794743646e+01,
   3.703729317e+01,  3.614899425e+01,  3.528201580e+01,  3.443584647e+01,
   3.360998720e+01,  3.280395090e+01,  3.201726218e+01,  3.124945705e+01,
   3.050008266e+01,  2.976869704e+01,  2.905486883e+01,  2.835817701e+01,
   2.767821067e+01,  2.701456879e+01,  2.636685994e+01,  2.573470211e+01,
   2.511772246e+01,  2.451555710e+01,  2.392785088e+01,  2.335425717e+01,
   2.279443768e+01,  2.224806221e+01,  2.171480853e+01,  2.119436213e+01,
   2.068641605e+01,  2.019067071e+01,  1.970683372e+01,  1.923461973e+01,
   1.877375021e+01,  1.832395336e+01,  1.788496389e+01,  1.745652289e+01,
   1.703837767e+01,  1.663028160e+01,  1.623199401e+01,  1.584327999e+01,
   1.546391027e+01,  1.509366110e+01,  1.473231413e+01,  1.437965624e+01,
   1.403547943e+01,  1.369958070e+01,  1.337176197e+01,  1.305182988e+01,
   1.273959574e+01,  1.243487540e+01,  1.213748916e+01,  1.184726161e+01,
   1.156402159e+01,  1.128760206e+01,  1.101783998e+01,  1.075457626e+01,
   1.049765565e+01,  1.024692660e+01,  1.000224127e+01,  9.763455343e+00,
   9.530427994e+00,  9.303021799e+00,  9.081102647e+00,  8.864539666e+00,
   8.653205141e+00,  8.446974445e+00,  8.245725962e+00,  8.049341013e+00,
   7.857703791e+00,  7.670701292e+00,  7.488223243e+00,  7.310162046e+00,
   7.136412706e+00,  6.966872775e+00,  6.801442289e+00,  6.640023712e+00,
   6.482521873e+00,  6.328843917e+00,  6.178899246e+00,  6.032599466e+00,
   5.889858337e+00,  5.750591723e+00,  5.614717537e+00,  5.482155701e+00,
   5.352828092e+00,  5.226658502e+00,  5.103572589e+00,  4.983497835e+00,
   4.866363506e+00,  4.752100605e+00,  4.640641840e+00,  4.531921577e+00,
   4.425875806e+00,  4.322442104e+00,  4.221559596e+00,  4.123168923e+00,
   4.027212207e+00,  3.933633016e+00,  3.842376334e+00,  3.753388526e+00,
   3.666617313e+00,  3.582011737e+00,  3.499522134e+00,  3.419100108e+00,
   3.340698500e+00,  3.264271366e+00,  3.189773947e+00,  3.117162649e+00,
   3.046395018e+00,  2.977429712e+00,  2.910226488e+00,  2.844746172e+00,
   2.780950645e+00,  2.718802821e+00,  2.658266625e+00,  2.599306981e+00,
   2.541889792e+00,  2.485981924e+00,  2.431551190e+00,  2.378566338e+00,
   2.326997036e+00,  2.276813859e+00,  2.227988280e+00,  2.180492657e+00,
   2.134300227e+00,  2.089385096e+00,  2.045722230e+00,  2.003287455e+00,
   1.962057446e+00,  1.922009732e+00,  1.883122686e+00,  1.845375533e+00,
   1.808748346e+00,  1.773222053e+00,  1.738778442e+00,  1.705400169e+00,
   1.673070767e+00,  1.641774661e+00,  1.611497179e+00,  1.582224574e+00,
   1.553944046e+00,  1.526643763e+00,  1.500312890e+00,  1.474941628e+00,
   1.450521243e+00,  1.427044117e+00,  1.404503790e+00,  1.382895017e+00,
   1.362213832e+00,  1.342457614e+00,  1.323625171e+00,  1.305716821e+00,
   1.288734495e+00,  1.272681853e+00,  1.257564400e+00,  1.243389636e+00,
   1.230167210e+00,  1.217909100e+00,  1.206629817e+00,  1.196346629e+00,
   1.188672690e+00,
};
const float lut_approx_svf_g[] = {
   3.141602989e-03,  3.218831536e-03,  3.297958582e-03,  3.379030801e-03,
   3.462096013e-03,  3.547203214e-03,  3.634402603e-03,  3.723745617e-03,
   3.815284955e-03,  3.909074612e-03,  4.005169912e-03,  4.103627537e-03,
   4.204505567e-03,  4.307863505e-03,  4.413762321e-03,  4.522264482e-03,
   4.633433994e-03,  4.747336433e-03,  4.864038991e-03,  4.983610510e-03,
   5.106121528e-03,  5.231644315e-03,  5.360252920e-03,  5.492023212e-03,
   5.627032926e-03,  5.765361711e-03,  5.907091173e-03,  6.052304925e-03,
   6.201088640e-03,  6.353530094e-03,  6.509719226e-03,  6.669748185e-03,
   6.833711388e-03,  7.001705574e-03,  7.173829865e-03,  7.350185817e-03,
   7.530877490e-03,  7.716011501e-03,  7.905697092e-03,  8.100046192e-03,
   8.299173488e-03,  8.503196484e-03,  8.712235583e-03,  8.926414145e-03,
   9.145858573e-03,  9.370698375e-03,  9.601066254e-03,  9.837098177e-03,
   1.007893346e-02,  1.032671484e-02,  1.058058860e-02,  1.084070458e-02,
   1.110721635e-02,  1.138028125e-02,  1.166006049e-02,  1.194671925e-02,
   1.224042680e-02,  1.254135657e-02,  1.284968625e-02,  1.316559794e-02,
   1.348927822e-02,  1.382091825e-02,  1.416071393e-02,  1.450886598e-02,
   1.486558007e-02,  1.523106697e-02,  1.560554262e-02,  1.598922830e-02,
   1.638235076e-02,  1.678514236e-02,  1.719784117e-02,  1.762069117e-02,
   1.805394235e-02,  1.849785090e-02,  1.895267933e-02,  1.941869665e-02,
   1.989617853e-02,  2.038540744e-02,  2.088667287e-02,  2.140027148e-02,
   2.192650726e-02,  2.246569175e-02,  2.301814421e-02,  2.358419182e-02,
   2.416416989e-02,  2.475842205e-02,  2.536730046e-02,  2.599116604e-02,
   2.663038868e-02,  2.728534748e-02,  2.795643099e-02,  2.864403741e-02,
   2.934857490e-02,  3.007046179e-02,  3.081012684e-02,  3.156800955e-02,
   3.234456039e-02,  3.314024111e-02,  3.395552502e-02,  3.479089732e-02,
   3.564685536e-02,  3.652390898e-02,  3.742258087e-02,  3.834340686e-02,
   3.928693629e-02,  4.025373236e-02,  4.124437250e-02,  4.225944876e-02,
   4.329956817e-02,  4.436535320e-02,  4.545744209e-02,  4.657648938e-02,
   4.772316625e-02,  4.889816106e-02,  5.010217976e-02,  5.133594641e-02,
   5.260020369e-02,  5.389571337e-02,  5.522325689e-02,  5.658363591e-02,
   5.797767285e-02,  5.940621154e-02,  6.087011776e-02,  6.237027994e-02,
   6.390760981e-02,  6.548304302e-02,  6.709753994e-02,  6.875208633e-02,
   7.044769412e-02,  7.218540220e-02,  7.396627726e-02,  7.579141463e-02,
   7.766193915e-02,  7.957900614e-02,  8.154380231e-02,  8.355754684e-02,
   8.562149233e-02,  8.773692598e-02,  8.990517066e-02,  9.212758617e-02,
   9.440557041e-02,  9.674056075e-02,  9.913403534e-02,  1.015875145e-01,
   1.041025625e-01,  1.066807885e-01,  1.093238489e-01,  1.120334487e-01,
   1.148113434e-01,  1.176593406e-01,  1.205793026e-01,  1.235731482e-01,
   1.266428546e-01,  1.297904604e-01,  1.330180676e-01,  1.363278445e-01,
   1.397220282e-01,  1.432029278e-01,  1.467729272e-01,  1.504344888e-01,
   1.541901566e-01,  1.580425602e-01,  1.619944185e-01,  1.660485439e-01,
   1.702078470e-01,  1.744753412e-01,  1.788541475e-01,  1.833475003e-01,
   1.879587529e-01,  1.926913838e-01,  1.975490031e-01,  2.025353598e-01,
   2.076543489e-01,  2.129100201e-01,  2.183065860e-01,  2.238484317e-01,
   2.295401245e-01,  2.353864253e-01,  2.413922996e-01,  2.475629304e-01,
   2.539037317e-01,  2.604203632e-01,  2.671187459e-01,  2.740050796e-01,
   2.810858612e-01,  2.883679050e-01,  2.958583647e-01,  3.035647570e-01,
   3.114949878e-01,  3.196573806e-01,  3.280607070e-01,  3.367142207e-01,
   3.456276947e-01,  3.548114612e-01,  3.642764566e-01,  3.740342700e-01,
   3.840971971e-01,  3.944782994e-01,  4.051914693e-01,  4.162515028e-01,
   4.276741793e-01,  4.394763503e-01,  4.516760382e-01,  4.642925463e-01,
   4.773465811e-01,  4.908603895e-01,  5.048579120e-01,  5.193649555e-01,
   5.344093865e-01,  5.500213501e-01,  5.662335170e-01,  5.830813635e-01,
   6.006034896e-01,  6.188419823e-01,  6.378428292e-01,  6.576563947e-01,
   6.783379655e-01,  6.999483821e-01,  7.225547683e-01,  7.462313806e-01,
   7.710605979e-01,  7.971340819e-01,  8.245541427e-01,  8.534353518e-01,
   8.839064594e-01,  9.161126823e-01,  9.502184512e-01,  9.864107264e-01,
   1.024903027e+00,  1.065940357e+00,  1.109805271e+00,  1.156825401e+00,
   1.207382870e+00,  1.261926172e+00,  1.320985301e+00,  1.385191228e+00,
   1.455301233e+00,  1.532232293e+00,  1.617105641e+00,  1.711307145e+00,
   1.816570469e+00,  1.935093693e+00,  2.069706279e+00,  2.224113655e+00,
   2.403265097e+00,  2.613924046e+00,  2.865583992e+00,  3.172001606e+00,
   3.553893926e+00,  4.043980080e+00,  4.697148118e+00,  5.613065030e+00,
   6.993550439e+00,  9.318558639e+00,  1.407720922e+01,  2.935971016e+01,
   3.183088390e+02,
};
const float lut_approx_svf_r[] = {
   2.000000000e+00,  1.946754762e+00,  1.894927051e+00,  1.844479130e+00,
   1.795374265e+00,  1.747576700e+00,  1.701051631e+00,  1.655765181e+00,
   1.611684376e+00,  1.568777116e+00,  1.527012161e+00,  1.486359098e+00,
   1.446788325e+00,  1.408271031e+00,  1.370779168e+00,  1.334285436e+00,
   1.298763263e+00,  1.264186784e+00,  1.230530820e+00,  1.197770867e+00,
   1.165883069e+00,  1.134844209e+00,  1.104631683e+00,  1.075223495e+00,
   1.046598229e+00,  1.018735043e+00,  9.916136483e-01,  9.652142959e-01,
   9.395177633e-01,  9.145053398e-01,  8.901588125e-01,  8.664604535e-01,
   8.433930069e-01,  8.209396761e-01,  7.990841118e-01,  7.778103999e-01,
   7.571030499e-01,  7.369469837e-01,  7.173275249e-01,  6.982303874e-01,
   6.796416658e-01,  6.615478246e-01,  6.439356889e-01,  6.267924343e-01,
   6.101055781e-01,  5.938629696e-01,  5.780527820e-01,  5.626635030e-01,
   5.476839269e-01,  5.331031463e-01,  5.189105443e-01,  5.050957865e-01,
   4.916488138e-01,  4.785598347e-01,  4.658193185e-01,  4.534179882e-01,
   4.413468138e-01,  4.295970057e-01,  4.181600083e-01,  4.070274936e-01,
   3.961913557e-01,  3.856437042e-01,  3.753768587e-01,  3.653833436e-01,
   3.556558820e-01,  3.461873909e-01,  3.369709759e-01,  3.279999259e-01,
   3.192677089e-01,  3.107679663e-01,  3.024945091e-01,  2.944413130e-01,
   2.866025140e-01,  2.789724045e-01,  2.715454284e-01,  2.643161779e-01,
   2.572793890e-01,  2.504299378e-01,  2.437628370e-01,  2.372732318e-01,
   2.309563969e-01,  2.248077328e-01,  2.188227621e-01,  2.129971271e-01,
   2.073265857e-01,  2.018070090e-01,  1.964343778e-01,  1.912047802e-01,
   1.861144082e-01,  1.811595552e-01,  1.763366134e-01,  1.716420709e-01,
   1.670725094e-01,  1.626246016e-01,  1.582951088e-01,  1.540808784e-01,
   1.499788419e-01,  1.459860123e-01,  1.420994823e-01,  1.383164219e-01,
   1.346340765e-01,  1.310497647e-01,  1.275608768e-01,  1.241648721e-01,
   1.208592780e-01,  1.176416875e-01,  1.145097577e-01,  1.114612080e-01,
   1.084938187e-01,  1.056054291e-01,  1.027939360e-01,  1.000572922e-01,
   9.739350503e-02,  9.480063485e-02,  9.227679365e-02,  8.982014373e-02,
   8.742889625e-02,  8.510131005e-02,  8.283569029e-02,  8.063038726e-02,
   7.848379517e-02,  7.639435099e-02,  7.436053328e-02,  7.238086113e-02,
   7.045389303e-02,  6.857822587e-02,  6.675249389e-02,  6.497536767e-02,
   6.324555320e-02,  6.156179093e-02,  5.992285482e-02,  5.832755148e-02,
   5.677471930e-02,  5.526322757e-02,  5.379197571e-02,  5.235989243e-02,
   5.096593496e-02,  4.960908829e-02,  4.828836443e-02,  4.700280169e-02,
   4.575146401e-02,  4.453344021e-02,  4.334784339e-02,  4.219381027e-02,
   4.107050053e-02,  3.997709624e-02,  3.891280123e-02,  3.787684055e-02,
   3.686845985e-02,  3.588692488e-02,  3.493152095e-02,  3.400155238e-02,
   3.309634200e-02,  3.221523069e-02,  3.135757688e-02,  3.052275605e-02,
   2.971016034e-02,  2.891919806e-02,  2.814929327e-02,  2.739988535e-02,
   2.667042864e-02,  2.596039198e-02,  2.526925835e-02,  2.459652451e-02,
   2.394170061e-02,  2.330430983e-02,  2.268388807e-02,  2.207998356e-02,
   2.149215657e-02,  2.091997907e-02,  2.036303443e-02,  1.982091712e-02,
   1.929323240e-02,  1.877959602e-02,  1.827963399e-02,  1.779298226e-02,
   1.731928647e-02,  1.685820170e-02,  1.640939222e-02,  1.597253122e-02,
   1.554730060e-02,  1.513339074e-02,  1.473050025e-02,  1.433833575e-02,
   1.395661170e-02,  1.358505014e-02,  1.322338052e-02,  1.287133950e-02,
   1.252867073e-02,  1.219512470e-02,  1.187045854e-02,  1.155443585e-02,
   1.124682650e-02,  1.094740653e-02,  1.065595789e-02,  1.037226838e-02,
   1.009613143e-02,  9.827345972e-03,  9.565716283e-03,  9.311051862e-03,
   9.063167275e-03,  8.821882025e-03,  8.587020420e-03,  8.358411446e-03,
   8.135888642e-03,  7.919289978e-03,  7.708457737e-03,  7.503238403e-03,
   7.303482545e-03,  7.109044711e-03,  6.919783322e-03,  6.735560566e-03,
   6.556242303e-03,  6.381697961e-03,  6.211800447e-03,  6.046426050e-03,
   5.885454352e-03,  5.728768143e-03,  5.576253331e-03,  5.427798862e-03,
   5.283296641e-03,  5.142641447e-03,  5.005730862e-03,  4.872465196e-03,
   4.742747411e-03,  4.616483054e-03,  4.493580184e-03,  4.373949310e-03,
   4.257503324e-03,  4.144157434e-03,  4.033829109e-03,  3.926438014e-03,
   3.821905950e-03,  3.720156804e-03,  3.621116486e-03,  3.524712881e-03,
   3.430875793e-03,  3.339536893e-03,  3.250629675e-03,  3.164089399e-03,
   3.079853052e-03,  2.997859297e-03,  2.918048431e-03,  2.840362339e-03,
   2.764744455e-03,  2.691139716e-03,  2.619494529e-03,  2.549756724e-03,
   2.481875522e-03,  2.415801495e-03,  2.351486532e-03,  2.288883802e-03,
   2.227947720e-03,  2.168633916e-03,  2.110899202e-03,  2.054701536e-03,
   2.000000000e-03,
};
const float lut_approx_svf_h[] = {
   9.937462795e-01,  9.935932867e-01,  9.934365695e-01,  9.932760383e-01,
   9.931116010e-01,  9.929431638e-01,  9.927706303e-01,  9.925939020e-01,
   9.924128782e-01,  9.922274556e-01,  9.920375286e-01,  9.918429892e-01,
   9.916437267e-01,  9.914396280e-01,  9.912305772e-01,  9.910164558e-01,
   9.907971425e-01,  9.905725133e-01,  9.903424411e-01,  9.901067961e-01,
   9.898654452e-01,  9.896182526e-01,  9.893650791e-01,  9.891057824e-01,
   9.888402169e-01,  9.885682337e-01,  9.882896804e-01,  9.880044012e-01,
   9.877122367e-01,  9.874130240e-01,  9.871065964e-01,  9.867927832e-01,
   9.864714103e-01,  9.861422994e-01,  9.858052681e-01,  9.854601301e-01,
   9.851066949e-01,  9.847447675e-01,  9.843741489e-01,  9.839946354e-01,
   9.836060189e-01,  9.832080867e-01,  9.828006213e-01,  9.823834007e-01,
   9.819561976e-01,  9.815187800e-01,  9.810709108e-01,  9.806123477e-01,
   9.801428433e-01,  9.796621446e-01,  9.791699933e-01,  9.786661256e-01,
   9.781502720e-01,  9.776221572e-01,  9.770815001e-01,  9.765280139e-01,
   9.759614053e-01,  9.753813753e-01,  9.747876184e-01,  9.741798228e-01,
   9.735576703e-01,  9.729208361e-01,  9.722689889e-01,  9.716017905e-01,
   9.709188959e-01,  9.702199530e-01,  9.695046029e-01,  9.687724794e-01,
   9.680232090e-01,  9.672564111e-01,  9.664716973e-01,  9.656686719e-01,
   9.648469314e-01,  9.640060647e-01,  9.631456528e-01,  9.622652687e-01,
   9.613644777e-01,  9.604428366e-01,  9.594998944e-01,  9.585351914e-01,
   9.575482601e-01,  9.565386242e-01,  9.555057991e-01,  9.544492915e-01,
   9.533685997e-01,  9.522632131e-01,  9.511326127e-01,  9.499762704e-01,
   9.487936495e-01,  9.475842043e-01,  9.463473804e-01,  9.450826143e-01,
   9.437893337e-01,  9.424669573e-01,  9.411148950e-01,  9.397325476e-01,
   9.383193070e-01,  9.368745562e-01,  9.353976694e-01,  9.338880120e-01,
   9.323449404e-01,  9.307678025e-01,  9.291559375e-01,  9.275086760e-01,
   9.258253402e-01,  9.241052438e-01,  9.223476923e-01,  9.205519834e-01,
   9.187174063e-01,  9.168432430e-01,  9.149287674e-01,  9.129732464e-01,
   9.109759393e-01,  9.089360989e-01,  9.068529708e-01,  9.047257945e-01,
   9.025538031e-01,  9.003362241e-01,  8.980722791e-01,  8.957611849e-01,
   8.934021531e-01,  8.909943910e-01,  8.885371018e-01,  8.860294853e-01,
   8.834707378e-01,  8.808600531e-01,  8.781966227e-01,  8.754796365e-01,
   8.727082832e-01,  8.698817510e-01,  8.669992279e-01,  8.640599027e-01,
   8.610629655e-01,  8.580076083e-01,  8.548930256e-01,  8.517184154e-01,
   8.484829795e-01,  8.451859248e-01,  8.418264637e-01,  8.384038148e-01,
   8.349172043e-01,  8.313658661e-01,  8.277490433e-01,  8.240659887e-01,
   8.203159659e-01,  8.164982501e-01,  8.126121291e-01,  8.086569043e-01,
   8.046318916e-01,  8.005364224e-01,  7.963698446e-01,  7.921315236e-01,
   7.878208433e-01,  7.834372071e-01,  7.789800390e-01,  7.744487846e-01,
   7.698429118e-01,  7.651619124e-01,  7.604053026e-01,  7.555726241e-01,
   7.506634452e-01,  7.456773617e-01,  7.406139978e-01,  7.354730070e-01,
   7.302540731e-01,  7.249569107e-01,  7.195812665e-01,  7.141269198e-01,
   7.085936832e-01,  7.029814033e-01,  6.972899614e-01,  6.915192740e-01,
   6.856692934e-01,  6.797400080e-01,  6.737314426e-01,  6.676436591e-01,
   6.614767563e-01,  6.552308699e-01,  6.489061733e-01,  6.425028765e-01,
   6.360212269e-01,  6.294615083e-01,  6.228240411e-01,  6.161091814e-01,
   6.093173208e-01,  6.024488853e-01,  5.955043349e-01,  5.884841621e-01,
   5.813888917e-01,  5.742190786e-01,  5.669753072e-01,  5.596581896e-01,
   5.522683645e-01,  5.448064946e-01,  5.372732657e-01,  5.296693842e-01,
   5.219955752e-01,  5.142525803e-01,  5.064411553e-01,  4.985620674e-01,
   4.906160933e-01,  4.826040163e-01,  4.745266232e-01,  4.663847020e-01,
   4.581790391e-01,  4.499104159e-01,  4.415796064e-01,  4.331873740e-01,
   4.247344686e-01,  4.162216241e-01,  4.076495553e-01,  3.990189555e-01,
   3.903304940e-01,  3.815848140e-01,  3.727825311e-01,  3.639242313e-01,
   3.550104707e-01,  3.460417750e-01,  3.370186400e-01,  3.279415335e-01,
   3.188108975e-01,  3.096271527e-01,  3.003907044e-01,  2.911019504e-01,
   2.817612917e-01,  2.723691461e-01,  2.629259659e-01,  2.534322601e-01,
   2.438886225e-01,  2.342957663e-01,  2.246545681e-01,  2.149661215e-01,
   2.052318047e-01,  1.954533636e-01,  1.856330156e-01,  1.757735780e-01,
   1.658786286e-01,  1.559527058e-01,  1.460015589e-01,  1.360324634e-01,
   1.260546169e-01,  1.160796424e-01,  1.061222269e-01,  9.620093964e-02,
   8.633928357e-02,  7.656705771e-02,  6.692213254e-02,  5.745278239e-02,
   4.822077424e-02,  3.930549541e-02,  3.080952329e-02,  2.286622188e-02,
   1.565022410e-02,  9.392083109e-03,  4.399041685e-03,  1.084937594e-03,
   9.807947187e-06,
};
const float lut_4_decades[] = {
   1.000000000e+00,  1.036632928e+00,  1.074607828e+00,  1.113973860e+00,
   1.154781985e+00,  1.197085030e+00,  1.240937761e+00,  1.286396945e+00,
   1.333521432e+00,  1.382372227e+00,  1.433012570e+00,  1.485508017e+00,
   1.539926526e+00,  1.596338544e+00,  1.654817100e+00,  1.715437896e+00,
   1.778279410e+00,  1.843422992e+00,  1.910952975e+00,  1.980956779e+00,
   2.053525026e+00,  2.128751662e+00,  2.206734069e+00,  2.287573200e+00,
   2.371373706e+00,  2.458244069e+00,  2.548296748e+00,  2.641648320e+00,
   2.738419634e+00,  2.838735965e+00,  2.942727176e+00,  3.050527890e+00,
   3.162277660e+00,  3.278121151e+00,  3.398208329e+00,  3.522694651e+00,
   3.651741273e+00,  3.785515249e+00,  3.924189758e+00,  4.067944321e+00,
   4.216965034e+00,  4.371444813e+00,  4.531583638e+00,  4.697588817e+00,
   4.869675252e+00,  5.048065717e+00,  5.232991147e+00,  5.424690937e+00,
   5.623413252e+00,  5.829415347e+00,  6.042963902e+00,  6.264335367e+00,
   6.493816316e+00,  6.731703824e+00,  6.978305849e+00,  7.233941627e+00,
   7.498942093e+00,  7.773650302e+00,  8.058421878e+00,  8.353625470e+00,
   8.659643234e+00,  8.976871324e+00,  9.305720409e+00,  9.646616199e+00,
   1.000000000e+01,  1.036632928e+01,  1.074607828e+01,  1.113973860e+01,
   1.154781985e+01,  1.197085030e+01,  1.240937761e+01,  1.286396945e+01,
   1.333521432e+01,  1.382372227e+01,  1.433012570e+01,  1.485508017e+01,
   1.539926526e+01,  1.596338544e+01,  1.654817100e+01,  1.715437896e+01,
   1.778279410e+01,  1.843422992e+01,  1.910952975e+01,  1.980956779e+01,
   2.053525026e+01,  2.128751662e+01,  2.206734069e+01,  2.287573200e+01,
   2.371373706e+01,  2.458244069e+01,  2.548296748e+01,  2.641648320e+01,
   2.738419634e+01,  2.838735965e+01,  2.942727176e+01,  3.050527890e+01,
   3.162277660e+01,  3.278121151e+01,  3.398208329e+01,  3.522694651e+01,
   3.651741273e+01,  3.785515249e+01,  3.924189758e+01,  4.067944321e+01,
   4.216965034e+01,  4.371444813e+01,  4.531583638e+01,  4.697588817e+01,
   4.869675252e+01,  5.048065717e+01,  5.232991147e+01,  5.424690937e+01,
   5.623413252e+01,  5.829415347e+01,  6.042963902e+01,  6.264335367e+01,
   6.493816316e+01,  6.731703824e+01,  6.978305849e+01,  7.233941627e+01,
   7.498942093e+01,  7.773650302e+01,  8.058421878e+01,  8.353625470e+01,
   8.659643234e+01,  8.976871324e+01,  9.305720409e+01,  9.646616199e+01,
   1.000000000e+02,  1.036632928e+02,  1.074607828e+02,  1.113973860e+02,
   1.154781985e+02,  1.197085030e+02,  1.240937761e+02,  1.286396945e+02,
   1.333521432e+02,  1.382372227e+02,  1.433012570e+02,  1.485508017e+02,
   1.539926526e+02,  1.596338544e+02,  1.654817100e+02,  1.715437896e+02,
   1.778279410e+02,  1.843422992e+02,  1.910952975e+02,  1.980956779e+02,
   2.053525026e+02,  2.128751662e+02,  2.206734069e+02,  2.287573200e+02,
   2.371373706e+02,  2.458244069e+02,  2.548296748e+02,  2.641648320e+02,
   2.738419634e+02,  2.838735965e+02,  2.942727176e+02,  3.050527890e+02,
   3.162277660e+02,  3.278121151e+02,  3.398208329e+02,  3.522694651e+02,
   3.651741273e+02,  3.785515249e+02,  3.924189758e+02,  4.067944321e+02,
   4.216965034e+02,  4.371444813e+02,  4.531583638e+02,  4.697588817e+02,
   4.869675252e+02,  5.048065717e+02,  5.232991147e+02,  5.424690937e+02,
   5.623413252e+02,  5.829415347e+02,  6.042963902e+02,  6.264335367e+02,
   6.493816316e+02,  6.731703824e+02,  6.978305849e+02,  7.233941627e+02,
   7.498942093e+02,  7.773650302e+02,  8.058421878e+02,  8.353625470e+02,
   8.659643234e+02,  8.976871324e+02,  9.305720409e+02,  9.646616199e+02,
   1.000000000e+03,  1.036632928e+03,  1.074607828e+03,  1.113973860e+03,
   1.154781985e+03,  1.197085030e+03,  1.240937761e+03,  1.286396945e+03,
   1.333521432e+03,  1.382372227e+03,  1.433012570e+03,  1.485508017e+03,
   1.539926526e+03,  1.596338544e+03,  1.654817100e+03,  1.715437896e+03,
   1.778279410e+03,  1.843422992e+03,  1.910952975e+03,  1.980956779e+03,
   2.053525026e+03,  2.128751662e+03,  2.206734069e+03,  2.287573200e+03,
   2.371373706e+03,  2.458244069e+03,  2.548296748e+03,  2.641648320e+03,
   2.738419634e+03,  2.838735965e+03,  2.942727176e+03,  3.050527890e+03,
   3.162277660e+03,  3.278121151e+03,  3.398208329e+03,  3.522694651e+03,
   3.651741273e+03,  3.785515249e+03,  3.924189758e+03,  4.067944321e+03,
   4.216965034e+03,  4.371444813e+03,  4.531583638e+03,  4.697588817e+03,
   4.869675252e+03,  5.048065717e+03,  5.232991147e+03,  5.424690937e+03,
   5.623413252e+03,  5.829415347e+03,  6.042963902e+03,  6.264335367e+03,
   6.493816316e+03,  6.731703824e+03,  6.978305849e+03,  7.233941627e+03,
   7.498942093e+03,  7.773650302e+03,  8.058421878e+03,  8.353625470e+03,
   8.659643234e+03,  8.976871324e+03,  9.305720409e+03,  9.646616199e+03,
   1.000000000e+04,
};
const float lut_accent_gain_coarse[] = {
   1.778279410e-01,  1.802434016e-01,  1.826916718e-01,  1.851731971e-01,
   1.876884294e-01,  1.902378263e-01,  1.928218521e-01,  1.954409770e-01,
   1.980956779e-01,  2.007864379e-01,  2.035137468e-01,  2.062781012e-01,
   2.090800041e-01,  2.119199657e-01,  2.147985029e-01,  2.177161396e-01,
   2.206734069e-01,  2.236708432e-01,  2.267089941e-01,  2.297884126e-01,
   2.329096592e-01,  2.360733022e-01,  2.392799173e-01,  2.425300884e-01,
   2.458244069e-01,  2.491634726e-01,  2.525478933e-01,  2.559782850e-01,
   2.594552721e-01,  2.629794877e-01,  2.665515731e-01,  2.701721787e-01,
   2.738419634e-01,  2.775615953e-01,  2.813317515e-01,  2.851531182e-01,
   2.890263910e-01,  2.929522750e-01,  2.969314848e-01,  3.009647448e-01,
   3.050527890e-01,  3.091963617e-01,  3.133962171e-01,  3.176531197e-01,
   3.219678444e-01,  3.263411766e-01,  3.307739123e-01,  3.352668585e-01,
   3.398208329e-01,  3.444366646e-01,  3.491151937e-01,  3.538572719e-01,
   3.586637624e-01,  3.635355402e-01,  3.684734919e-01,  3.734785164e-01,
   3.785515249e-01,  3.836934408e-01,  3.889051999e-01,  3.941877511e-01,
   3.995420559e-01,  4.049690889e-01,  4.104698380e-01,  4.160453046e-01,
   4.216965034e-01,  4.274244633e-01,  4.332302267e-01,  4.391148507e-01,
   4.450794062e-01,  4.511249792e-01,  4.572526699e-01,  4.634635939e-01,
   4.697588817e-01,  4.761396792e-01,  4.826071479e-01,  4.891624652e-01,
   4.958068242e-01,  5.025414344e-01,  5.093675217e-01,  5.162863286e-01,
   5.232991147e-01,  5.304071563e-01,  5.376117475e-01,  5.449141995e-01,
   5.523158417e-01,  5.598180215e-01,  5.674221043e-01,  5.751294744e-01,
   5.829415347e-01,  5.908597073e-01,  5.988854335e-01,  6.070201742e-01,
   6.152654101e-01,  6.236226423e-01,  6.320933918e-01,  6.406792006e-01,
   6.493816316e-01,  6.582022689e-01,  6.671427180e-01,  6.762046065e-01,
   6.853895839e-01,  6.946993220e-01,  7.041355155e-01,  7.136998821e-01,
   7.233941627e-01,  7.332201221e-01,  7.431795488e-01,  7.532742557e-01,
   7.635060803e-01,  7.738768852e-01,  7.843885581e-01,  7.950430125e-01,
   8.058421878e-01,  8.167880496e-01,  8.278825906e-01,  8.391278302e-01,
   8.505258154e-01,  8.620786210e-01,  8.737883499e-01,  8.856571335e-01,
   8.976871324e-01,  9.098805365e-01,  9.222395651e-01,  9.347664681e-01,
   9.474635257e-01,  9.603330491e-01,  9.733773809e-01,  9.865988957e-01,
   1.000000000e+00,  1.013583133e+00,  1.027350768e+00,  1.041305411e+00,
   1.055449601e+00,  1.069785914e+00,  1.084316958e+00,  1.099045380e+00,
   1.113973860e+00,  1.129105115e+00,  1.144441901e+00,  1.159987008e+00,
   1.175743266e+00,  1.191713543e+00,  1.207900747e+00,  1.224307824e+00,
   1.240937761e+00,  1.257793584e+00,  1.274878362e+00,  1.292195205e+00,
   1.309747264e+00,  1.327537736e+00,  1.345569858e+00,  1.363846913e+00,
   1.382372227e+00,  1.401149174e+00,  1.420181170e+00,  1.439471680e+00,
   1.459024216e+00,  1.478842336e+00,  1.498929649e+00,  1.519289810e+00,
   1.539926526e+00,  1.560843553e+00,  1.582044699e+00,  1.603533824e+00,
   1.625314837e+00,  1.647391705e+00,  1.669768447e+00,  1.692449134e+00,
   1.715437896e+00,  1.738738918e+00,  1.762356441e+00,  1.786294763e+00,
   1.810558243e+00,  1.835151297e+00,  1.860078402e+00,  1.885344095e+00,
   1.910952975e+00,  1.936909704e+00,  1.963219007e+00,  1.989885672e+00,
   2.016914555e+00,  2.044310574e+00,  2.072078717e+00,  2.100224039e+00,
   2.128751662e+00,  2.157666779e+00,  2.186974655e+00,  2.216680623e+00,
   2.246790092e+00,  2.277308541e+00,  2.308241527e+00,  2.339594679e+00,
   2.371373706e+00,  2.403584391e+00,  2.436232598e+00,  2.469324270e+00,
   2.502865431e+00,  2.536862186e+00,  2.571320723e+00,  2.606247316e+00,
   2.641648320e+00,  2.677530182e+00,  2.713899431e+00,  2.750762689e+00,
   2.788126665e+00,  2.825998162e+00,  2.864384071e+00,  2.903291382e+00,
   2.942727176e+00,  2.982698632e+00,  3.023213025e+00,  3.064277731e+00,
   3.105900224e+00,  3.148088080e+00,  3.190848981e+00,  3.234190708e+00,
   3.278121151e+00,  3.322648308e+00,  3.367780283e+00,  3.413525292e+00,
   3.459891661e+00,  3.506887831e+00,  3.554522356e+00,  3.602803907e+00,
   3.651741273e+00,  3.701343361e+00,  3.751619202e+00,  3.802577945e+00,
   3.854228869e+00,  3.906581373e+00,  3.959644989e+00,  4.013429375e+00,
   4.067944321e+00,  4.123199751e+00,  4.179205723e+00,  4.235972432e+00,
   4.293510210e+00,  4.351829532e+00,  4.410941013e+00,  4.470855412e+00,
   4.531583638e+00,  4.593136742e+00,  4.655525931e+00,  4.718762561e+00,
   4.782858142e+00,  4.847824342e+00,  4.913672986e+00,  4.980416061e+00,
   5.048065717e+00,  5.116634266e+00,  5.186134192e+00,  5.256578144e+00,
   5.327978946e+00,  5.400349594e+00,  5.473703263e+00,  5.548053304e+00,
   5.623413252e+00,
};
const float lut_accent_gain_fine[] = {
   1.000000000e+00,  1.000052703e+00,  1.000105410e+00,  1.000158118e+00,
   1.000210830e+00,  1.000263545e+00,  1.000316262e+00,  1.000368982e+00,
   1.000421705e+00,  1.000474430e+00,  1.000527159e+00,  1.000579890e+00,
   1.000632624e+00,  1.000685361e+00,  1.000738100e+00,  1.000790842e+00,
   1.000843587e+00,  1.000896335e+00,  1.000949086e+00,  1.001001839e+00,
   1.001054596e+00,  1.001107354e+00,  1.001160116e+00,  1.001212881e+00,
   1.001265648e+00,  1.001318418e+00,  1.001371191e+00,  1.001423967e+00,
   1.001476745e+00,  1.001529526e+00,  1.001582310e+00,  1.001635097e+00,
   1.001687887e+00,  1.001740679e+00,  1.001793474e+00,  1.001846272e+00,
   1.001899073e+00,  1.001951876e+00,  1.002004682e+00,  1.002057491e+00,
   1.002110303e+00,  1.002163118e+00,  1.002215935e+00,  1.002268755e+00,
   1.002321578e+00,  1.002374404e+00,  1.002427233e+00,  1.002480064e+00,
   1.002532898e+00,  1.002585735e+00,  1.002638574e+00,  1.002691417e+00,
   1.002744262e+00,  1.002797110e+00,  1.002849961e+00,  1.002902814e+00,
   1.002955671e+00,  1.003008530e+00,  1.003061392e+00,  1.003114257e+00,
   1.003167124e+00,  1.003219994e+00,  1.003272868e+00,  1.003325743e+00,
   1.003378622e+00,  1.003431504e+00,  1.003484388e+00,  1.003537275e+00,
   1.003590165e+00,  1.003643057e+00,  1.003695953e+00,  1.003748851e+00,
   1.003801752e+00,  1.003854655e+00,  1.003907562e+00,  1.003960471e+00,
   1.004013383e+00,  1.004066298e+00,  1.004119216e+00,  1.004172136e+00,
   1.004225060e+00,  1.004277986e+00,  1.004330915e+00,  1.004383846e+00,
   1.004436781e+00,  1.004489718e+00,  1.004542658e+00,  1.004595601e+00,
   1.004648546e+00,  1.004701495e+00,  1.004754446e+00,  1.004807400e+00,
   1.004860357e+00,  1.004913316e+00,  1.004966278e+00,  1.005019243e+00,
   1.005072211e+00,  1.005125182e+00,  1.005178156e+00,  1.005231132e+00,
   1.005284111e+00,  1.005337093e+00,  1.005390077e+00,  1.005443065e+00,
   1.005496055e+00,  1.005549048e+00,  1.005602044e+00,  1.005655043e+00,
   1.005708044e+00,  1.005761048e+00,  1.005814055e+00,  1.005867065e+00,
   1.005920078e+00,  1.005973093e+00,  1.006026111e+00,  1.006079132e+00,
   1.006132156e+00,  1.006185183e+00,  1.006238212e+00,  1.006291244e+00,
   1.006344279e+00,  1.006397317e+00,  1.006450357e+00,  1.006503401e+00,
   1.006556447e+00,  1.006609496e+00,  1.006662547e+00,  1.006715602e+00,
   1.006768659e+00,  1.006821719e+00,  1.006874782e+00,  1.006927848e+00,
   1.006980917e+00,  1.007033988e+00,  1.007087062e+00,  1.007140139e+00,
   1.007193218e+00,  1.007246301e+00,  1.007299386e+00,  1.007352474e+00,
   1.007405565e+00,  1.007458659e+00,  1.007511755e+00,  1.007564855e+00,
   1.007617957e+00,  1.007671062e+00,  1.007724169e+00,  1.007777280e+00,
   1.007830393e+00,  1.007883509e+00,  1.007936628e+00,  1.007989750e+00,
   1.008042874e+00,  1.008096001e+00,  1.008149131e+00,  1.008202264e+00,
   1.008255400e+00,  1.008308538e+00,  1.008361680e+00,  1.008414824e+00,
   1.008467971e+00,  1.008521120e+00,  1.008574273e+00,  1.008627428e+00,
   1.008680586e+00,  1.008733747e+00,  1.008786911e+00,  1.008840077e+00,
   1.008893246e+00,  1.008946418e+00,  1.008999593e+00,  1.009052771e+00,
   1.009105952e+00,  1.009159135e+00,  1.009212321e+00,  1.009265510e+00,
   1.009318702e+00,  1.009371896e+00,  1.009425093e+00,  1.009478293e+00,
   1.009531496e+00,  1.009584702e+00,  1.009637911e+00,  1.009691122e+00,
   1.009744336e+00,  1.009797553e+00,  1.009850773e+00,  1.009903995e+00,
   1.009957221e+00,  1.010010449e+00,  1.010063680e+00,  1.010116914e+00,
   1.010170150e+00,  1.010223390e+00,  1.010276632e+00,  1.010329877e+00,
   1.010383124e+00,  1.010436375e+00,  1.010489629e+00,  1.010542885e+00,
   1.010596144e+00,  1.010649406e+00,  1.010702670e+00,  1.010755938e+00,
   1.010809208e+00,  1.010862481e+00,  1.010915757e+00,  1.010969036e+00,
   1.011022317e+00,  1.011075601e+00,  1.011128888e+00,  1.011182178e+00,
   1.011235471e+00,  1.011288767e+00,  1.011342065e+00,  1.011395366e+00,
   1.011448670e+00,  1.011501977e+00,  1.011555286e+00,  1.011608599e+00,
   1.011661914e+00,  1.011715232e+00,  1.011768553e+00,  1.011821876e+00,
   1.011875203e+00,  1.011928532e+00,  1.011981864e+00,  1.012035199e+00,
   1.012088537e+00,  1.012141877e+00,  1.012195220e+00,  1.012248566e+00,
   1.012301915e+00,  1.012355267e+00,  1.012408622e+00,  1.012461979e+00,
   1.012515339e+00,  1.012568702e+00,  1.012622068e+00,  1.012675437e+00,
   1.012728808e+00,  1.012782182e+00,  1.012835559e+00,  1.012888939e+00,
   1.012942322e+00,  1.012995707e+00,  1.013049096e+00,  1.013102487e+00,
   1.013155881e+00,  1.013209277e+00,  1.013262677e+00,  1.013316079e+00,
   1.013369484e+00,  1.013422892e+00,  1.013476303e+00,  1.013529717e+00,
   1.013583133e+00,
};
const float lut_stiffness[] = {
  -6.250000000e-02, -6.152343750e-02, -6.054687500e-02, -5.957031250e-02,
  -5.859375000e-02, -5.761718750e-02, -5.664062500e-02, -5.566406250e-02,
  -5.468750000e-02, -5.371093750e-02, -5.273437500e-02, -5.175781250e-02,
  -5.078125000e-02, -4.980468750e-02, -4.882812500e-02, -4.785156250e-02,
  -4.687500000e-02, -4.589843750e-02, -4.492187500e-02, -4.394531250e-02,
  -4.296875000e-02, -4.199218750e-02, -4.101562500e-02, -4.003906250e-02,
  -3.906250000e-02, -3.808593750e-02, -3.710937500e-02, -3.613281250e-02,
  -3.515625000e-02, -3.417968750e-02, -3.320312500e-02, -3.222656250e-02,
  -3.125000000e-02, -3.027343750e-02, -2.929687500e-02, -2.832031250e-02,
  -2.734375000e-02, -2.636718750e-02, -2.539062500e-02, -2.441406250e-02,
  -2.343750000e-02, -2.246093750e-02, -2.148437500e-02, -2.050781250e-02,
  -1.953125000e-02, -1.855468750e-02, -1.757812500e-02, -1.660156250e-02,
  -1.562500000e-02, -1.464843750e-02, -1.367187500e-02, -1.269531250e-02,
  -1.171875000e-02, -1.074218750e-02, -9.765625000e-03, -8.789062500e-03,
  -7.812500000e-03, -6.835937500e-03, -5.859375000e-03, -4.882812500e-03,
  -3.906250000e-03, -2.929687500e-03, -1.953125000e-03, -9.765625000e-04,
   0.000000000e+00,  0.000000000e+00,  0.000000000e+00,  0.000000000e+00,
   0.000000000e+00,  0.000000000e+00,  0.000000000e+00,  0.000000000e+00,
   0.000000000e+00,  0.000000000e+00,  0.000000000e+00,  0.000000000e+00,
   0.000000000e+00,  6.029410294e-05,  3.672617230e-04,  6.835957809e-04,
   1.009582073e-03,  1.345515115e-03,  1.691698412e-03,  2.048444725e-03,
   2.416076364e-03,  2.794925468e-03,  3.185334315e-03,  3.587655624e-03,
   4.002252878e-03,  4.429500650e-03,  4.869784943e-03,  5.323503537e-03,
   5.791066350e-03,  6.272895808e-03,  6.769427226e-03,  7.281109202e-03,
   7.808404022e-03,  8.351788076e-03,  8.911752293e-03,  9.488802580e-03,
   1.008346028e-02,  1.069626264e-02,  1.132776331e-02,  1.197853283e-02,
   1.264915914e-02,  1.334024813e-02,  1.405242417e-02,  1.478633069e-02,
   1.554263074e-02,  1.632200761e-02,  1.712516545e-02,  1.795282987e-02,
   1.880574864e-02,  1.968469234e-02,  2.059045506e-02,  2.152385512e-02,
   2.248573583e-02,  2.347696619e-02,  2.449844176e-02,  2.555108540e-02,
   2.663584813e-02,  2.775370999e-02,  2.890568094e-02,  3.009280173e-02,
   3.131614488e-02,  3.257681565e-02,  3.387595299e-02,  3.521473064e-02,
   3.659435812e-02,  3.801608189e-02,  3.948118641e-02,  4.099099536e-02,
   4.254687278e-02,  4.415022437e-02,  4.580249868e-02,  4.750518848e-02,
   4.925983210e-02,  5.106801479e-02,  5.293137017e-02,  5.485158172e-02,
   5.683038428e-02,  5.886956562e-02,  6.097096806e-02,  6.313649016e-02,
   6.536808837e-02,  6.766777886e-02,  7.003763933e-02,  7.247981084e-02,
   7.499649981e-02,  7.758997998e-02,  8.026259446e-02,  8.301675786e-02,
   8.585495846e-02,  8.877976048e-02,  9.179380636e-02,  9.489981918e-02,
   9.810060511e-02,  1.013990559e-01,  1.047981517e-01,  1.083009634e-01,
   1.119106556e-01,  1.156304895e-01,  1.194638260e-01,  1.234141283e-01,
   1.274849653e-01,  1.316800149e-01,  1.360030671e-01,  1.404580277e-01,
   1.450489216e-01,  1.497798965e-01,  1.546552266e-01,  1.596793166e-01,
   1.648567056e-01,  1.701920711e-01,  1.756902336e-01,  1.813561603e-01,
   1.871949702e-01,  1.932119385e-01,  1.994125013e-01,  2.058022605e-01,
   2.123869891e-01,  2.191726361e-01,  2.261653322e-01,  2.333713949e-01,
   2.407973346e-01,  2.484498605e-01,  2.563358863e-01,  2.644625367e-01,
   2.728371538e-01,  2.814673039e-01,  2.903607839e-01,  2.995256288e-01,
   3.089701187e-01,  3.187027863e-01,  3.287324247e-01,  3.390680953e-01,
   3.497191360e-01,  3.606951697e-01,  3.720061128e-01,  3.836621843e-01,
   3.956739150e-01,  4.080521572e-01,  4.208080940e-01,  4.339532500e-01,
   4.474995013e-01,  4.614590865e-01,  4.758446177e-01,  4.906690914e-01,
   5.059459012e-01,  5.216888491e-01,  5.379121581e-01,  5.546304856e-01,
   5.718589358e-01,  5.896130741e-01,  6.079089407e-01,  6.267630651e-01,
   6.461924814e-01,  6.662147434e-01,  6.868479405e-01,  7.081107139e-01,
   7.300222738e-01,  7.526024164e-01,  7.758715422e-01,  7.998506739e-01,
   8.245614757e-01,  8.500262730e-01,  8.762680723e-01,  9.033105820e-01,
   9.311782340e-01,  9.598962059e-01,  9.894904431e-01,  1.000000745e+00,
   1.000037649e+00,  1.000262504e+00,  1.000964607e+00,  1.002570034e+00,
   1.005639154e+00,  1.010861180e+00,  1.019043988e+00,  1.031097087e+00,
   1.048005353e+00,  1.070791059e+00,  1.100461817e+00,  1.137942574e+00,
   1.183990632e+00,  1.239094135e+00,  1.303356514e+00,  1.376372085e+00,
   1.457101344e+00,  1.543758274e+00,  1.633725943e+00,  1.723520185e+00,
   1.808823654e+00,  1.884612937e+00,  1.945398753e+00,  2.000000000e+00,
   2.000000000e+00,
};
const float lut_env_increments[] = {
   1.000000000e+00,  9.063850448e-01,  8.229004961e-01,  7.483069353e-01,
   6.815335492e-01,  6.216529559e-01,  5.678601147e-01,  5.194546047e-01,
   4.758256919e-01,  4.364397144e-01,  4.008293953e-01,  3.685847672e-01,
   3.393454467e-01,  3.127940408e-01,  2.886505077e-01,  2.666673228e-01,
   2.466253248e-01,  2.283301403e-01,  2.116090987e-01,  1.963085648e-01,
   1.822916295e-01,  1.694361046e-01,  1.576327802e-01,  1.467839063e-01,
   1.368018687e-01,  1.276080308e-01,  1.191317204e-01,  1.113093409e-01,
   1.040835903e-01,  9.740277473e-02,  9.122020359e-02,  8.549365536e-02,
   8.018490613e-02,  7.525931219e-02,  7.068544020e-02,  6.643473905e-02,
   6.248124833e-02,  5.880133900e-02,  5.537348239e-02,  5.217804414e-02,
   4.919710032e-02,  4.641427295e-02,  4.381458281e-02,  4.138431757e-02,
   3.911091353e-02,  3.698284936e-02,  3.498955059e-02,  3.312130371e-02,
   3.136917876e-02,  2.972495946e-02,  2.818108030e-02,  2.673056950e-02,
   2.536699762e-02,  2.408443088e-02,  2.287738899e-02,  2.174080682e-02,
   2.066999965e-02,  1.966063161e-02,  1.870868693e-02,  1.781044388e-02,
   1.696245090e-02,  1.616150496e-02,  1.540463179e-02,  1.468906777e-02,
   1.401224345e-02,  1.337176850e-02,  1.276541784e-02,  1.219111905e-02,
   1.164694078e-02,  1.113108211e-02,  1.064186283e-02,  1.017771445e-02,
   9.737172044e-03,  9.318866633e-03,  8.921518250e-03,  8.543929538e-03,
   8.184979846e-03,  7.843619796e-03,  7.518866261e-03,  7.209797739e-03,
   6.915550079e-03,  6.635312526e-03,  6.368324075e-03,  6.113870086e-03,
   5.871279160e-03,  5.639920242e-03,  5.419199939e-03,  5.208560026e-03,
   5.007475145e-03,  4.815450658e-03,  4.632020657e-03,  4.456746122e-03,
   4.289213196e-03,  4.129031592e-03,  3.975833104e-03,  3.829270225e-03,
   3.689014856e-03,  3.554757110e-03,  3.426204185e-03,  3.303079329e-03,
   3.185120858e-03,  3.072081251e-03,  2.963726301e-03,  2.859834320e-03,
   2.760195398e-03,  2.664610711e-03,  2.572891869e-03,  2.484860314e-03,
   2.400346748e-03,  2.319190600e-03,  2.241239531e-03,  2.166348965e-03,
   2.094381648e-03,  2.025207241e-03,  1.958701931e-03,  1.894748069e-03,
   1.833233832e-03,  1.774052901e-03,  1.717104163e-03,  1.662291425e-03,
   1.609523152e-03,  1.558712214e-03,  1.509775655e-03,  1.462634466e-03,
   1.417213382e-03,  1.373440682e-03,  1.331248004e-03,  1.290570173e-03,
   1.251345033e-03,  1.213513297e-03,  1.177018392e-03,  1.141806331e-03,
   1.107825573e-03,  1.075026906e-03,  1.043363329e-03,  1.012789939e-03,
   9.832638312e-04,  9.547439978e-04,  9.271912359e-04,  9.005680590e-04,
   8.748386139e-04,  8.499686016e-04,  8.259252030e-04,  8.026770072e-04,
   7.801939455e-04,  7.584472270e-04,  7.374092787e-04,  7.170536883e-04,
   6.973551501e-04,  6.782894132e-04,  6.598332332e-04,  6.419643256e-04,
   6.246613217e-04,  6.079037271e-04,  5.916718819e-04,  5.759469230e-04,
   5.607107482e-04,  5.459459823e-04,  5.316359445e-04,  5.177646179e-04,
   5.043166198e-04,  4.912771740e-04,  4.786320845e-04,  4.663677099e-04,
   4.544709394e-04,  4.429291701e-04,  4.317302848e-04,  4.208626317e-04,
   4.103150042e-04,  4.000766220e-04,  3.901371135e-04,  3.804864982e-04,
   3.711151703e-04,  3.620138835e-04,  3.531737358e-04,  3.445861550e-04,
   3.362428858e-04,  3.281359762e-04,  3.202577654e-04,  3.126008718e-04,
   3.051581821e-04,  2.979228398e-04,  2.908882357e-04,  2.840479973e-04,
   2.773959797e-04,  2.709262568e-04,  2.646331121e-04,  2.585110311e-04,
   2.525546927e-04,  2.467589623e-04,  2.411188842e-04,  2.356296746e-04,
   2.302867154e-04,  2.250855472e-04,  2.200218640e-04,  2.150915066e-04,
   2.102904575e-04,  2.056148354e-04,  2.010608902e-04,  1.966249978e-04,
   1.923036558e-04,  1.880934784e-04,  1.839911927e-04,  1.799936340e-04,
   1.760977424e-04,  1.723005582e-04,  1.685992190e-04,  1.649909556e-04,
   1.614730890e-04,  1.580430269e-04,  1.546982606e-04,  1.514363622e-04,
   1.482549815e-04,  1.451518434e-04,  1.421247450e-04,  1.391715533e-04,
   1.362902027e-04,  1.334786925e-04,  1.307350848e-04,  1.280575020e-04,
   1.254441253e-04,  1.228931919e-04,  1.204029938e-04,  1.179718754e-04,
   1.155982319e-04,  1.132805078e-04,  1.110171947e-04,  1.088068302e-04,
   1.066479959e-04,  1.045393165e-04,  1.024794579e-04,  1.004671257e-04,
   9.850106454e-05,  9.658005609e-05,  9.470291828e-05,  9.286850389e-05,
   9.107569950e-05,  8.932342437e-05,  8.761062934e-05,  8.593629582e-05,
   8.429943485e-05,  8.269908605e-05,  8.113431678e-05,  7.960422121e-05,
   7.810791949e-05,  7.664455689e-05,  7.521330304e-05,  7.381335112e-05,
   7.244391714e-05,  7.110423924e-05,  6.979357696e-05,  6.851121057e-05,
   6.725644047e-05,  6.602858654e-05,  6.482698750e-05,  6.365100040e-05,
   6.250000000e-05,  6.250000000e-05,
};
const float lut_env_linear[] = {
   0.000000000e+00,  3.906250000e-03,  7.812500000e-03,  1.171875000e-02,
   1.562500000e-02,  1.953125000e-02,  2.343750000e-02,  2.734375000e-02,
   3.125000000e-02,  3.515625000e-02,  3.906250000e-02,  4.296875000e-02,
   4.687500000e-02,  5.078125000e-02,  5.468750000e-02,  5.859375000e-02,
   6.250000000e-02,  6.640625000e-02,  7.031250000e-02,  7.421875000e-02,
   7.812500000e-02,  8.203125000e-02,  8.593750000e-02,  8.984375000e-02,
   9.375000000e-02,  9.765625000e-02,  1.015625000e-01,  1.054687500e-01,
   1.093750000e-01,  1.132812500e-01,  1.171875000e-01,  1.210937500e-01,
   1.250000000e-01,  1.289062500e-01,  1.328125000e-01,  1.367187500e-01,
   1.406250000e-01,  1.445312500e-01,  1.484375000e-01,  1.523437500e-01,
   1.562500000e-01,  1.601562500e-01,  1.640625000e-01,  1.679687500e-01,
   1.718750000e-01,  1.757812500e-01,  1.796875000e-01,  1.835937500e-01,
   1.875000000e-01,  1.914062500e-01,  1.953125000e-01,  1.992187500e-01,
   2.031250000e-01,  2.070312500e-01,  2.109375000e-01,  2.148437500e-01,
   2.187500000e-01,  2.226562500e-01,  2.265625000e-01,  2.304687500e-01,
   2.343750000e-01,  2.382812500e-01,  2.421875000e-01,  2.460937500e-01,
   2.500000000e-01,  2.539062500e-01,  2.578125000e-01,  2.617187500e-01,
   2.656250000e-01,  2.695312500e-01,  2.734375000e-01,  2.773437500e-01,
   2.812500000e-01,  2.851562500e-01,  2.890625000e-01,  2.929687500e-01,
   2.968750000e-01,  3.007812500e-01,  3.046875000e-01,  3.085937500e-01,
   3.125000000e-01,  3.164062500e-01,  3.203125000e-01,  3.242187500e-01,
   3.281250000e-01,  3.320312500e-01,  3.359375000e-01,  3.398437500e-01,
   3.437500000e-01,  3.476562500e-01,  3.515625000e-01,  3.554687500e-01,
   3.593750000e-01,  3.632812500e-01,  3.671875000e-01,  3.710937500e-01,
   3.750000000e-01,  3.789062500e-01,  3.828125000e-01,  3.867187500e-01,
   3.906250000e-01,  3.945312500e-01,  3.984375000e-01,  4.023437500e-01,
   4.062500000e-01,  4.101562500e-01,  4.140625000e-01,  4.179687500e-01,
   4.218750000e-01,  4.257812500e-01,  4.296875000e-01,  4.335937500e-01,
   4.375000000e-01,  4.414062500e-01,  4.453125000e-01,  4.492187500e-01,
   4.531250000e-01,  4.570312500e-01,  4.609375000e-01,  4.648437500e-01,
   4.687500000e-01,  4.726562500e-01,  4.765625000e-01,  4.804687500e-01,
   4.843750000e-01,  4.882812500e-01,  4.921875000e-01,  4.960937500e-01,
   5.000000000e-01,  5.039062500e-01,  5.078125000e-01,  5.117187500e-01,
   5.156250000e-01,  5.195312500e-01,  5.234375000e-01,  5.273437500e-01,
   5.312500000e-01,  5.351562500e-01,  5.390625000e-01,  5.429687500e-01,
   5.468750000e-01,  5.507812500e-01,  5.546875000e-01,  5.585937500e-01,
   5.625000000e-01,  5.664062500e-01,  5.703125000e-01,  5.742187500e-01,
   5.781250000e-01,  5.820312500e-01,  5.859375000e-01,  5.898437500e-01,
   5.937500000e-01,  5.976562500e-01,  6.015625000e-01,  6.054687500e-01,
   6.093750000e-01,  6.132812500e-01,  6.171875000e-01,  6.210937500e-01,
   6.250000000e-01,  6.289062500e-01,  6.328125000e-01,  6.367187500e-01,
   6.406250000e-01,  6.445312500e-01,  6.484375000e-01,  6.523437500e-01,
   6.562500000e-01,  6.601562500e-01,  6.640625000e-01,  6.679687500e-01,
   6.718750000e-01,  6.757812500e-01,  6.796875000e-01,  6.835937500e-01,
   6.875000000e-01,  6.914062500e-01,  6.953125000e-01,  6.992187500e-01,
   7.031250000e-01,  7.070312500e-01,  7.109375000e-01,  7.148437500e-01,
   7.187500000e-01,  7.226562500e-01,  7.265625000e-01,  7.304687500e-01,
   7.343750000e-01,  7.382812500e-01,  7.421875000e-01,  7.460937500e-01,
   7.500000000e-01,  7.539062500e-01,  7.578125000e-01,  7.617187500e-01,
   7.656250000e-01,  7.695312500e-01,  7.734375000e-01,  7.773437500e-01,
   7.812500000e-01,  7.851562500e-01,  7.890625000e-01,  7.929687500e-01,
   7.968750000e-01,  8.007812500e-01,  8.046875000e-01,  8.085937500e-01,
   8.125000000e-01,  8.164062500e-01,  8.203125000e-01,  8.242187500e-01,
   8.281250000e-01,  8.320312500e-01,  8.359375000e-01,  8.398437500e-01,
   8.437500000e-01,  8.476562500e-01,  8.515625000e-01,  8.554687500e-01,
   8.593750000e-01,  8.632812500e-01,  8.671875000e-01,  8.710937500e-01,
   8.750000000e-01,  8.789062500e-01,  8.828125000e-01,  8.867187500e-01,
   8.906250000e-01,  8.945312500e-01,  8.984375000e-01,  9.023437500e-01,
   9.062500000e-01,  9.101562500e-01,  9.140625000e-01,  9.179687500e-01,
   9.218750000e-01,  9.257812500e-01,  9.296875000e-01,  9.335937500e-01,
   9.375000000e-01,  9.414062500e-01,  9.453125000e-01,  9.492187500e-01,
   9.531250000e-01,  9.570312500e-01,  9.609375000e-01,  9.648437500e-01,
   9.687500000e-01,  9.726562500e-01,  9.765625000e-01,  9.804687500e-01,
   9.843750000e-01,  9.882812500e-01,  9.921875000e-01,  9.960937500e-01,
   1.000000000e+00,  1.000000000e+00,
};
const float lut_env_expo[] = {
   0.000000000e+00,  1.579281856e-02,  3.134079216e-02,  4.664771677e-02,
   6.171732951e-02,  7.655330956e-02,  9.115927906e-02,  1.055388040e-01,
   1.196953950e-01,  1.336325085e-01,  1.473535470e-01,  1.608618606e-01,
   1.741607472e-01,  1.872534536e-01,  2.001431765e-01,  2.128330627e-01,
   2.253262104e-01,  2.376256699e-01,  2.497344439e-01,  2.616554888e-01,
   2.733917150e-01,  2.849459879e-01,  2.963211283e-01,  3.075199136e-01,
   3.185450778e-01,  3.293993127e-01,  3.400852683e-01,  3.506055534e-01,
   3.609627367e-01,  3.711593467e-01,  3.811978730e-01,  3.910807663e-01,
   4.008104396e-01,  4.103892682e-01,  4.198195909e-01,  4.291037100e-01,
   4.382438921e-01,  4.472423689e-01,  4.561013372e-01,  4.648229600e-01,
   4.734093665e-01,  4.818626531e-01,  4.901848837e-01,  4.983780900e-01,
   5.064442724e-01,  5.143854003e-01,  5.222034124e-01,  5.299002175e-01,
   5.374776946e-01,  5.449376939e-01,  5.522820366e-01,  5.595125158e-01,
   5.666308968e-01,  5.736389176e-01,  5.805382890e-01,  5.873306956e-01,
   5.940177958e-01,  6.006012220e-01,  6.070825817e-01,  6.134634572e-01,
   6.197454064e-01,  6.259299630e-01,  6.320186369e-01,  6.380129147e-01,
   6.439142599e-01,  6.497241132e-01,  6.554438930e-01,  6.610749959e-01,
   6.666187966e-01,  6.720766486e-01,  6.774498845e-01,  6.827398161e-01,
   6.879477349e-01,  6.930749124e-01,  6.981226004e-01,  7.030920313e-01,
   7.079844182e-01,  7.128009558e-01,  7.175428198e-01,  7.222111680e-01,
   7.268071403e-01,  7.313318585e-01,  7.357864276e-01,  7.401719349e-01,
   7.444894512e-01,  7.487400307e-01,  7.529247110e-01,  7.570445139e-01,
   7.611004451e-01,  7.650934950e-01,  7.690246383e-01,  7.728948350e-01,
   7.767050298e-01,  7.804561530e-01,  7.841491204e-01,  7.877848336e-01,
   7.913641804e-01,  7.948880345e-01,  7.983572564e-01,  8.017726929e-01,
   8.051351780e-01,  8.084455326e-01,  8.117045649e-01,  8.149130706e-01,
   8.180718331e-01,  8.211816234e-01,  8.242432010e-01,  8.272573131e-01,
   8.302246958e-01,  8.331460735e-01,  8.360221594e-01,  8.388536558e-01,
   8.416412538e-01,  8.443856342e-01,  8.470874669e-01,  8.497474115e-01,
   8.523661176e-01,  8.549442243e-01,  8.574823612e-01,  8.599811480e-01,
   8.624411946e-01,  8.648631018e-01,  8.672474608e-01,  8.695948537e-01,
   8.719058537e-01,  8.741810249e-01,  8.764209229e-01,  8.786260944e-01,
   8.807970780e-01,  8.829344036e-01,  8.850385930e-01,  8.871101599e-01,
   8.891496102e-01,  8.911574418e-01,  8.931341448e-01,  8.950802019e-01,
   8.969960882e-01,  8.988822714e-01,  9.007392120e-01,  9.025673634e-01,
   9.043671720e-01,  9.061390772e-01,  9.078835115e-01,  9.096009008e-01,
   9.112916645e-01,  9.129562153e-01,  9.145949597e-01,  9.162082977e-01,
   9.177966232e-01,  9.193603240e-01,  9.208997818e-01,  9.224153726e-01,
   9.239074663e-01,  9.253764273e-01,  9.268226141e-01,  9.282463799e-01,
   9.296480722e-01,  9.310280333e-01,  9.323866001e-01,  9.337241043e-01,
   9.350408723e-01,  9.363372258e-01,  9.376134812e-01,  9.388699501e-01,
   9.401069392e-01,  9.413247506e-01,  9.425236816e-01,  9.437040249e-01,
   9.448660687e-01,  9.460100966e-01,  9.471363880e-01,  9.482452179e-01,
   9.493368570e-01,  9.504115718e-01,  9.514696247e-01,  9.525112740e-01,
   9.535367740e-01,  9.545463751e-01,  9.555403238e-01,  9.565188628e-01,
   9.574822309e-01,  9.584306634e-01,  9.593643918e-01,  9.602836440e-01,
   9.611886446e-01,  9.620796145e-01,  9.629567711e-01,  9.638203287e-01,
   9.646704981e-01,  9.655074868e-01,  9.663314992e-01,  9.671427365e-01,
   9.679413967e-01,  9.687276749e-01,  9.695017629e-01,  9.702638498e-01,
   9.710141216e-01,  9.717527616e-01,  9.724799500e-01,  9.731958644e-01,
   9.739006795e-01,  9.745945676e-01,  9.752776978e-01,  9.759502372e-01,
   9.766123497e-01,  9.772641972e-01,  9.779059387e-01,  9.785377310e-01,
   9.791597282e-01,  9.797720822e-01,  9.803749426e-01,  9.809684564e-01,
   9.815527687e-01,  9.821280221e-01,  9.826943570e-01,  9.832519117e-01,
   9.838008223e-01,  9.843412228e-01,  9.848732452e-01,  9.853970194e-01,
   9.859126732e-01,  9.864203325e-01,  9.869201213e-01,  9.874121616e-01,
   9.878965735e-01,  9.883734753e-01,  9.888429834e-01,  9.893052125e-01,
   9.897602753e-01,  9.902082831e-01,  9.906493452e-01,  9.910835692e-01,
   9.915110612e-01,  9.919319256e-01,  9.923462650e-01,  9.927541808e-01,
   9.931557723e-01,  9.935511378e-01,  9.939403737e-01,  9.943235751e-01,
   9.947008354e-01,  9.950722469e-01,  9.954379002e-01,  9.957978846e-01,
   9.961522879e-01,  9.965011967e-01,  9.968446962e-01,  9.971828702e-01,
   9.975158013e-01,  9.978435708e-01,  9.981662587e-01,  9.984839438e-01,
   9.987967036e-01,  9.991046146e-01,  9.994077518e-01,  9.997061893e-01,
   1.000000000e+00,  1.000000000e+00,
};
const float lut_env_quartic[] = {
   0.000000000e+00,  1.010748988e-08,  1.009399071e-07,  3.878697237e-07,
   1.008050957e-06,  2.114578098e-06,  3.873517001e-06,  6.462027591e-06,
   1.006704644e-05,  1.488430108e-05,  2.111753950e-05,  2.897790804e-05,
   3.868343683e-05,  5.045860560e-05,  6.453397160e-05,  8.114584652e-05,
   1.005360129e-04,  1.229514724e-04,  1.486442219e-04,  1.778710506e-04,
   2.108933574e-04,  2.479769840e-04,  2.893920628e-04,  3.354128762e-04,
   3.863177275e-04,  4.423888210e-04,  5.039121506e-04,  5.711773960e-04,
   6.444778255e-04,  7.241102051e-04,  8.103747131e-04,  9.035748591e-04,
   1.004017409e-03,  1.112012312e-03,  1.227872633e-03,  1.351914488e-03,
   1.484456985e-03,  1.625822161e-03,  1.776334930e-03,  1.936323028e-03,
   2.106116965e-03,  2.286049971e-03,  2.476457957e-03,  2.677679463e-03,
   2.890055621e-03,  3.113930110e-03,  3.349649119e-03,  3.597561306e-03,
   3.858017766e-03,  4.131371991e-03,  4.417979838e-03,  4.718199495e-03,
   5.032391453e-03,  5.360918468e-03,  5.704145538e-03,  6.062439873e-03,
   6.436170861e-03,  6.825710052e-03,  7.231431119e-03,  7.653709843e-03,
   8.092924083e-03,  8.549453753e-03,  9.023680799e-03,  9.515989175e-03,
   1.002676482e-02,  1.055639565e-02,  1.110527151e-02,  1.167378418e-02,
   1.226232734e-02,  1.287129655e-02,  1.350108924e-02,  1.415210470e-02,
   1.482474403e-02,  1.551941015e-02,  1.623650777e-02,  1.697644339e-02,
   1.773962527e-02,  1.852646340e-02,  1.933736951e-02,  2.017275705e-02,
   2.103304117e-02,  2.191863870e-02,  2.282996812e-02,  2.376744961e-02,
   2.473150496e-02,  2.572255761e-02,  2.674103259e-02,  2.778735656e-02,
   2.886195776e-02,  2.996526600e-02,  3.109771267e-02,  3.225973070e-02,
   3.345175458e-02,  3.467422032e-02,  3.592756544e-02,  3.721222899e-02,
   3.852865149e-02,  3.987727497e-02,  4.125854292e-02,  4.267290032e-02,
   4.412079357e-02,  4.560267054e-02,  4.711898053e-02,  4.867017426e-02,
   5.025670387e-02,  5.187902292e-02,  5.353758635e-02,  5.523285048e-02,
   5.696527305e-02,  5.873531312e-02,  6.054343115e-02,  6.239008894e-02,
   6.427574963e-02,  6.620087772e-02,  6.816593900e-02,  7.017140062e-02,
   7.221773102e-02,  7.430539996e-02,  7.643487847e-02,  7.860663892e-02,
   8.082115490e-02,  8.307890133e-02,  8.538035437e-02,  8.772599145e-02,
   9.011629124e-02,  9.255173368e-02,  9.503279993e-02,  9.755997239e-02,
   1.001337347e-01,  1.027545717e-01,  1.054229694e-01,  1.081394152e-01,
   1.109043975e-01,  1.137184059e-01,  1.165819313e-01,  1.194954658e-01,
   1.224595026e-01,  1.254745359e-01,  1.285410615e-01,  1.316595760e-01,
   1.348305772e-01,  1.380545641e-01,  1.413320370e-01,  1.446634971e-01,
   1.480494468e-01,  1.514903896e-01,  1.549868303e-01,  1.585392745e-01,
   1.621482292e-01,  1.658142024e-01,  1.695377032e-01,  1.733192417e-01,
   1.771593292e-01,  1.810584781e-01,  1.850172018e-01,  1.890360148e-01,
   1.931154328e-01,  1.972559723e-01,  2.014581511e-01,  2.057224879e-01,
   2.100495027e-01,  2.144397161e-01,  2.188936502e-01,  2.234118279e-01,
   2.279947731e-01,  2.326430109e-01,  2.373570674e-01,  2.421374695e-01,
   2.469847453e-01,  2.518994240e-01,  2.568820357e-01,  2.619331113e-01,
   2.670531831e-01,  2.722427842e-01,  2.775024485e-01,  2.828327113e-01,
   2.882341085e-01,  2.937071773e-01,  2.992524556e-01,  3.048704824e-01,
   3.105617978e-01,  3.163269426e-01,  3.221664587e-01,  3.280808890e-01,
   3.340707773e-01,  3.401366683e-01,  3.462791079e-01,  3.524986425e-01,
   3.587958199e-01,  3.651711885e-01,  3.716252979e-01,  3.781586984e-01,
   3.847719413e-01,  3.914655789e-01,  3.982401644e-01,  4.050962518e-01,
   4.120343963e-01,  4.190551536e-01,  4.261590806e-01,  4.333467351e-01,
   4.406186756e-01,  4.479754618e-01,  4.554176539e-01,  4.629458135e-01,
   4.705605026e-01,  4.782622844e-01,  4.860517228e-01,  4.939293827e-01,
   5.018958299e-01,  5.099516309e-01,  5.180973533e-01,  5.263335654e-01,
   5.346608364e-01,  5.430797365e-01,  5.515908365e-01,  5.601947083e-01,
   5.688919246e-01,  5.776830588e-01,  5.865686853e-01,  5.955493794e-01,
   6.046257171e-01,  6.137982753e-01,  6.230676318e-01,  6.324343651e-01,
   6.418990546e-01,  6.514622806e-01,  6.611246242e-01,  6.708866672e-01,
   6.807489924e-01,  6.907121834e-01,  7.007768244e-01,  7.109435008e-01,
   7.212127985e-01,  7.315853042e-01,  7.420616057e-01,  7.526422914e-01,
   7.633279504e-01,  7.741191729e-01,  7.850165496e-01,  7.960206723e-01,
   8.071321333e-01,  8.183515259e-01,  8.296794440e-01,  8.411164826e-01,
   8.526632371e-01,  8.643203040e-01,  8.760882804e-01,  8.879677643e-01,
   8.999593544e-01,  9.120636502e-01,  9.242812520e-01,  9.366127608e-01,
   9.490587784e-01,  9.616199073e-01,  9.742967511e-01,  9.870899137e-01,
   1.000000000e+00,  1.000000000e+00,
};
const float lut_midi_to_f_high[] = {
   1.596835726e-05,  1.691788519e-05,  1.792387499e-05,  1.898968407e-05,
   2.011886944e-05,  2.131519967e-05,  2.258266740e-05,  2.392550268e-05,
   2.534818711e-05,  2.685546875e-05,  2.845237802e-05,  3.014424446e-05,
   3.193671451e-05,  3.383577038e-05,  3.584774999e-05,  3.797936813e-05,
   4.023773888e-05,  4.263039934e-05,  4.516533480e-05,  4.785100537e-05,
   5.069637422e-05,  5.371093750e-05,  5.690475604e-05,  6.028848892e-05,
   6.387342903e-05,  6.767154077e-05,  7.169549998e-05,  7.595873626e-05,
   8.047547776e-05,  8.526079869e-05,  9.033066961e-05,  9.570201074e-05,
   1.013927484e-04,  1.074218750e-04,  1.138095121e-04,  1.205769778e-04,
   1.277468581e-04,  1.353430815e-04,  1.433910000e-04,  1.519174725e-04,
   1.609509555e-04,  1.705215974e-04,  1.806613392e-04,  1.914040215e-04,
   2.027854969e-04,  2.148437500e-04,  2.276190242e-04,  2.411539557e-04,
   2.554937161e-04,  2.706861631e-04,  2.867819999e-04,  3.038349450e-04,
   3.219019110e-04,  3.410431948e-04,  3.613226784e-04,  3.828080430e-04,
   4.055709937e-04,  4.296875000e-04,  4.552380484e-04,  4.823079114e-04,
   5.109874322e-04,  5.413723261e-04,  5.735639998e-04,  6.076698901e-04,
   6.438038221e-04,  6.820863895e-04,  7.226453569e-04,  7.656160859e-04,
   8.111419875e-04,  8.593750000e-04,  9.104760967e-04,  9.646158228e-04,
   1.021974864e-03,  1.082744652e-03,  1.147128000e-03,  1.215339780e-03,
   1.287607644e-03,  1.364172779e-03,  1.445290714e-03,  1.531232172e-03,
   1.622283975e-03,  1.718750000e-03,  1.820952193e-03,  1.929231646e-03,
   2.043949729e-03,  2.165489305e-03,  2.294255999e-03,  2.430679560e-03,
   2.575215288e-03,  2.728345558e-03,  2.890581427e-03,  3.062464344e-03,
   3.244567950e-03,  3.437500000e-03,  3.641904387e-03,  3.858463291e-03,
   4.087899458e-03,  4.330978609e-03,  4.588511999e-03,  4.861359121e-03,
   5.150430577e-03,  5.456691116e-03,  5.781162855e-03,  6.124928687e-03,
   6.489135900e-03,  6.875000000e-03,  7.283808774e-03,  7.716926582e-03,
   8.175798916e-03,  8.661957218e-03,  9.177023997e-03,  9.722718241e-03,
   1.030086115e-02,  1.091338223e-02,  1.156232571e-02,  1.224985737e-02,
   1.297827180e-02,  1.375000000e-02,  1.456761755e-02,  1.543385316e-02,
   1.635159783e-02,  1.732391444e-02,  1.835404799e-02,  1.944543648e-02,
   2.060172231e-02,  2.182676446e-02,  2.312465142e-02,  2.449971475e-02,
   2.595654360e-02,  2.750000000e-02,  2.913523509e-02,  3.086770633e-02,
   3.270319566e-02,  3.464782887e-02,  3.670809599e-02,  3.889087297e-02,
   4.120344461e-02,  4.365352893e-02,  4.624930284e-02,  4.899942950e-02,
   5.191308720e-02,  5.500000000e-02,  5.827047019e-02,  6.173541266e-02,
   6.540639133e-02,  6.929565774e-02,  7.341619198e-02,  7.778174593e-02,
   8.240688923e-02,  8.730705786e-02,  9.249860568e-02,  9.799885900e-02,
   1.038261744e-01,  1.100000000e-01,  1.165409404e-01,  1.234708253e-01,
   1.308127827e-01,  1.385913155e-01,  1.468323840e-01,  1.555634919e-01,
   1.648137785e-01,  1.746141157e-01,  1.849972114e-01,  1.959977180e-01,
   2.076523488e-01,  2.200000000e-01,  2.330818808e-01,  2.469416506e-01,
   2.616255653e-01,  2.771826310e-01,  2.936647679e-01,  3.111269837e-01,
   3.296275569e-01,  3.492282314e-01,  3.699944227e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
   3.750000000e-01,  3.750000000e-01,  3.750000000e-01,  3.750000000e-01,
};
const float lut_midi_to_increment_high[] = {
   6.858357219e+04,  7.266176361e+04,  7.698245692e+04,  8.156007202e+04,
   8.640988628e+04,  9.154808550e+04,  9.699181795e+04,  1.027592516e+05,
   1.088696346e+05,  1.153433600e+05,  1.222020331e+05,  1.294685441e+05,
   1.371671444e+05,  1.453235272e+05,  1.539649138e+05,  1.631201440e+05,
   1.728197726e+05,  1.830961710e+05,  1.939836359e+05,  2.055185031e+05,
   2.177392693e+05,  2.306867200e+05,  2.444040662e+05,  2.589370882e+05,
   2.743342888e+05,  2.906470545e+05,  3.079298277e+05,  3.262402881e+05,
   3.456395451e+05,  3.661923420e+05,  3.879672718e+05,  4.110370063e+05,
   4.354785386e+05,  4.613734400e+05,  4.888081324e+05,  5.178741765e+05,
   5.486685775e+05,  5.812941089e+05,  6.158596554e+05,  6.524805762e+05,
   6.912790902e+05,  7.323846840e+05,  7.759345436e+05,  8.220740126e+05,
   8.709570771e+05,  9.227468800e+05,  9.776162648e+05,  1.035748353e+06,
   1.097337155e+06,  1.162588218e+06,  1.231719311e+06,  1.304961152e+06,
   1.382558180e+06,  1.464769368e+06,  1.551869087e+06,  1.644148025e+06,
   1.741914154e+06,  1.845493760e+06,  1.955232530e+06,  2.071496706e+06,
   2.194674310e+06,  2.325176436e+06,  2.463438621e+06,  2.609922305e+06,
   2.765116361e+06,  2.929538736e+06,  3.103738174e+06,  3.288296050e+06,
   3.483828309e+06,  3.690987520e+06,  3.910465059e+06,  4.142993412e+06,
   4.389348620e+06,  4.650352871e+06,  4.926877243e+06,  5.219844609e+06,
   5.530232722e+06,  5.859077472e+06,  6.207476349e+06,  6.576592100e+06,
   6.967656617e+06,  7.381975040e+06,  7.820930118e+06,  8.285986824e+06,
   8.778697240e+06,  9.300705743e+06,  9.853754486e+06,  1.043968922e+07,
   1.106046544e+07,  1.171815494e+07,  1.241495270e+07,  1.315318420e+07,
   1.393531323e+07,  1.476395008e+07,  1.564186024e+07,  1.657197365e+07,
   1.755739448e+07,  1.860141149e+07,  1.970750897e+07,  2.087937844e+07,
   2.212093089e+07,  2.343630989e+07,  2.482990539e+07,  2.630636840e+07,
   2.787062647e+07,  2.952790016e+07,  3.128372047e+07,  3.314394730e+07,
   3.511478896e+07,  3.720282297e+07,  3.941501794e+07,  4.175875687e+07,
   4.424186178e+07,  4.687261978e+07,  4.965981079e+07,  5.261273680e+07,
   5.574125294e+07,  5.905580032e+07,  6.256744095e+07,  6.628789459e+07,
   7.022957792e+07,  7.440564594e+07,  7.883003589e+07,  8.351751375e+07,
   8.848372355e+07,  9.374523955e+07,  9.931962158e+07,  1.052254736e+08,
   1.114825059e+08,  1.181116006e+08,  1.251348819e+08,  1.325757892e+08,
   1.404591558e+08,  1.488112919e+08,  1.576600718e+08,  1.670350275e+08,
   1.769674471e+08,  1.874904791e+08,  1.986392432e+08,  2.104509472e+08,
   2.229650117e+08,  2.362232013e+08,  2.502697638e+08,  2.651515784e+08,
   2.809183117e+08,  2.976225838e+08,  3.153201435e+08,  3.340700550e+08,
   3.539348942e+08,  3.749809582e+08,  3.972784863e+08,  4.209018944e+08,
   4.459300235e+08,  4.724464026e+08,  5.005395276e+08,  5.303031567e+08,
   5.618366234e+08,  5.952451675e+08,  6.306402871e+08,  6.681401100e+08,
   7.078697884e+08,  7.499619164e+08,  7.945569726e+08,  8.418037889e+08,
   8.918600470e+08,  9.448928051e+08,  1.001079055e+09,  1.060606313e+09,
   1.123673247e+09,  1.190490335e+09,  1.261280574e+09,  1.336280220e+09,
   1.415739577e+09,  1.499923833e+09,  1.589113945e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
   1.610612736e+09,  1.610612736e+09,  1.610612736e+09,  1.610612736e+09,
};
const float lut_midi_to_f_low[] = {
   1.000000000e+00,  1.000225659e+00,  1.000451370e+00,  1.000677131e+00,
   1.000902943e+00,  1.001128806e+00,  1.001354720e+00,  1.001580685e+00,
   1.001806701e+00,  1.002032768e+00,  1.002258886e+00,  1.002485055e+00,
   1.002711275e+00,  1.002937546e+00,  1.003163868e+00,  1.003390242e+00,
   1.003616666e+00,  1.003843141e+00,  1.004069668e+00,  1.004296246e+00,
   1.004522874e+00,  1.004749554e+00,  1.004976285e+00,  1.005203068e+00,
   1.005429901e+00,  1.005656786e+00,  1.005883722e+00,  1.006110709e+00,
   1.006337747e+00,  1.006564836e+00,  1.006791977e+00,  1.007019169e+00,
   1.007246412e+00,  1.007473707e+00,  1.007701053e+00,  1.007928450e+00,
   1.008155898e+00,  1.008383398e+00,  1.008610949e+00,  1.008838551e+00,
   1.009066205e+00,  1.009293910e+00,  1.009521667e+00,  1.009749475e+00,
   1.009977334e+00,  1.010205245e+00,  1.010433207e+00,  1.010661221e+00,
   1.010889286e+00,  1.011117403e+00,  1.011345571e+00,  1.011573790e+00,
   1.011802061e+00,  1.012030384e+00,  1.012258758e+00,  1.012487183e+00,
   1.012715661e+00,  1.012944189e+00,  1.013172770e+00,  1.013401401e+00,
   1.013630085e+00,  1.013858820e+00,  1.014087607e+00,  1.014316445e+00,
   1.014545335e+00,  1.014774277e+00,  1.015003270e+00,  1.015232315e+00,
   1.015461411e+00,  1.015690560e+00,  1.015919760e+00,  1.016149011e+00,
   1.016378315e+00,  1.016607670e+00,  1.016837077e+00,  1.017066536e+00,
   1.017296046e+00,  1.017525609e+00,  1.017755223e+00,  1.017984889e+00,
   1.018214607e+00,  1.018444376e+00,  1.018674198e+00,  1.018904071e+00,
   1.019133996e+00,  1.019363973e+00,  1.019594002e+00,  1.019824083e+00,
   1.020054216e+00,  1.020284401e+00,  1.020514637e+00,  1.020744926e+00,
   1.020975266e+00,  1.021205659e+00,  1.021436104e+00,  1.021666600e+00,
   1.021897149e+00,  1.022127749e+00,  1.022358402e+00,  1.022589107e+00,
   1.022819863e+00,  1.023050672e+00,  1.023281533e+00,  1.023512446e+00,
   1.023743411e+00,  1.023974428e+00,  1.024205498e+00,  1.024436619e+00,
   1.024667793e+00,  1.024899019e+00,  1.025130297e+00,  1.025361627e+00,
   1.025593009e+00,  1.025824444e+00,  1.026055931e+00,  1.026287470e+00,
   1.026519061e+00,  1.026750705e+00,  1.026982401e+00,  1.027214149e+00,
   1.027445949e+00,  1.027677802e+00,  1.027909707e+00,  1.028141664e+00,
   1.028373674e+00,  1.028605736e+00,  1.028837851e+00,  1.029070017e+00,
   1.029302237e+00,  1.029534508e+00,  1.029766832e+00,  1.029999209e+00,
   1.030231638e+00,  1.030464119e+00,  1.030696653e+00,  1.030929239e+00,
   1.031161878e+00,  1.031394569e+00,  1.031627313e+00,  1.031860109e+00,
   1.032092958e+00,  1.032325859e+00,  1.032558813e+00,  1.032791820e+00,
   1.033024879e+00,  1.033257991e+00,  1.033491155e+00,  1.033724372e+00,
   1.033957641e+00,  1.034190964e+00,  1.034424338e+00,  1.034657766e+00,
   1.034891246e+00,  1.035124779e+00,  1.035358364e+00,  1.035592003e+00,
   1.035825694e+00,  1.036059437e+00,  1.036293234e+00,  1.036527083e+00,
   1.036760985e+00,  1.036994940e+00,  1.037228947e+00,  1.037463008e+00,
   1.037697121e+00,  1.037931287e+00,  1.038165506e+00,  1.038399777e+00,
   1.038634102e+00,  1.038868479e+00,  1.039102910e+00,  1.039337393e+00,
   1.039571929e+00,  1.039806518e+00,  1.040041160e+00,  1.040275855e+00,
   1.040510603e+00,  1.040745404e+00,  1.040980258e+00,  1.041215165e+00,
   1.041450125e+00,  1.041685138e+00,  1.041920204e+00,  1.042155323e+00,
   1.042390495e+00,  1.042625720e+00,  1.042860998e+00,  1.043096329e+00,
   1.043331714e+00,  1.043567151e+00,  1.043802642e+00,  1.044038185e+00,
   1.044273782e+00,  1.044509433e+00,  1.044745136e+00,  1.044980892e+00,
   1.045216702e+00,  1.045452565e+00,  1.045688481e+00,  1.045924450e+00,
   1.046160473e+00,  1.046396549e+00,  1.046632678e+00,  1.046868860e+00,
   1.047105096e+00,  1.047341385e+00,  1.047577727e+00,  1.047814123e+00,
   1.048050572e+00,  1.048287074e+00,  1.048523630e+00,  1.048760239e+00,
   1.048996902e+00,  1.049233618e+00,  1.049470387e+00,  1.049707210e+00,
   1.049944086e+00,  1.050181015e+00,  1.050417999e+00,  1.050655035e+00,
   1.050892125e+00,  1.051129269e+00,  1.051366466e+00,  1.051603717e+00,
   1.051841021e+00,  1.052078378e+00,  1.052315790e+00,  1.052553255e+00,
   1.052790773e+00,  1.053028345e+00,  1.053265971e+00,  1.053503650e+00,
   1.053741383e+00,  1.053979169e+00,  1.054217010e+00,  1.054454903e+00,
   1.054692851e+00,  1.054930852e+00,  1.055168907e+00,  1.055407016e+00,
   1.055645178e+00,  1.055883395e+00,  1.056121664e+00,  1.056359988e+00,
   1.056598366e+00,  1.056836797e+00,  1.057075282e+00,  1.057313821e+00,
   1.057552413e+00,  1.057791060e+00,  1.058029760e+00,  1.058268515e+00,
   1.058507323e+00,  1.058746185e+00,  1.058985101e+00,  1.059224071e+00,
};
const float lut_fm_frequency_quantizer[] = {
  -1.200000000e+01, -1.200000000e+01, -1.200000000e+01, -1.184000000e+01,
  -1.184000000e+01, -1.184000000e+01, -1.111000000e+01, -1.038000000e+01,
  -9.650000000e+00, -8.920000000e+00, -8.190000000e+00, -7.460000000e+00,
  -6.730000000e+00, -6.000000000e+00, -6.000000000e+00, -6.000000000e+00,
  -5.545511612e+00, -5.091023223e+00, -4.636534835e+00, -4.182046446e+00,
  -4.182046446e+00, -4.182046446e+00, -3.659290641e+00, -3.136534835e+00,
  -2.613779029e+00, -2.091023223e+00, -1.568267417e+00, -1.045511612e+00,
  -5.227558058e-01,  0.000000000e+00,  0.000000000e+00,  0.000000000e+00,
   1.600000000e-01,  1.600000000e-01,  1.600000000e-01,  8.900000000e-01,
   1.620000000e+00,  2.350000000e+00,  3.080000000e+00,  3.810000000e+00,
   4.540000000e+00,  5.270000000e+00,  6.000000000e+00,  6.000000000e+00,
   6.000000000e+00,  6.454488388e+00,  6.908976777e+00,  7.363465165e+00,
   7.817953554e+00,  7.817953554e+00,  7.817953554e+00,  8.285529931e+00,
   8.753106309e+00,  9.220682687e+00,  9.688259065e+00,  9.688259065e+00,
   9.688259065e+00,  1.026619430e+01,  1.084412953e+01,  1.142206477e+01,
   1.200000000e+01,  1.200000000e+01,  1.200000000e+01,  1.216000000e+01,
   1.216000000e+01,  1.216000000e+01,  1.262977500e+01,  1.309955001e+01,
   1.356932501e+01,  1.403910002e+01,  1.403910002e+01,  1.403910002e+01,
   1.490761987e+01,  1.577613972e+01,  1.664465957e+01,  1.751317942e+01,
   1.751317942e+01,  1.751317942e+01,  1.800000000e+01,  1.800000000e+01,
   1.800000000e+01,  1.850977500e+01,  1.901955001e+01,  1.901955001e+01,
   1.901955001e+01,  1.981795355e+01,  1.981795355e+01,  1.981795355e+01,
   2.066386428e+01,  2.150977500e+01,  2.150977500e+01,  2.150977500e+01,
   2.213233125e+01,  2.275488750e+01,  2.337744375e+01,  2.400000000e+01,
   2.400000000e+01,  2.400000000e+01,  2.450977500e+01,  2.501955001e+01,
   2.501955001e+01,  2.501955001e+01,  2.547403840e+01,  2.592852679e+01,
   2.638301517e+01,  2.683750356e+01,  2.683750356e+01,  2.683750356e+01,
   2.735032035e+01,  2.786313714e+01,  2.786313714e+01,  2.786313714e+01,
   2.839735285e+01,  2.893156857e+01,  2.946578428e+01,  3.000000000e+01,
   3.000000000e+01,  3.000000000e+01,  3.075000000e+01,  3.150000000e+01,
   3.225000000e+01,  3.300000000e+01,  3.375000000e+01,  3.450000000e+01,
   3.525000000e+01,  3.600000000e+01,  3.600000000e+01,  3.600000000e+01,
   3.600000000e+01,
};
const float lut_detune_quantizer[] = {
  -2.400000000e+01, -2.400000000e+01, -2.400000000e+01, -2.300000000e+01,
  -2.200000000e+01, -2.100000000e+01, -2.000000000e+01, -1.900000000e+01,
  -1.800000000e+01, -1.700000000e+01, -1.600000000e+01, -1.500000000e+01,
  -1.400000000e+01, -1.300000000e+01, -1.200000000e+01, -1.200000000e+01,
  -1.200000000e+01, -1.195000000e+01, -1.195000000e+01, -1.195000000e+01,
  -1.021250000e+01, -8.475000000e+00, -6.737500000e+00, -5.000000000e+00,
  -5.000000000e+00, -5.000000000e+00, -3.762500000e+00, -2.525000000e+00,
  -1.287500000e+00, -5.000000000e-02, -5.000000000e-02, -5.000000000e-02,
   0.000000000e+00,  0.000000000e+00,  0.000000000e+00,  5.000000000e-02,
   5.000000000e-02,  5.000000000e-02,  1.787500000e+00,  3.525000000e+00,
   5.262500000e+00,  7.000000000e+00,  7.000000000e+00,  7.000000000e+00,
   8.250000000e+00,  9.500000000e+00,  1.075000000e+01,  1.200000000e+01,
   1.200000000e+01,  1.200000000e+01,  1.287500000e+01,  1.375000000e+01,
   1.462500000e+01,  1.550000000e+01,  1.725000000e+01,  1.900000000e+01,
   1.900000000e+01,  1.900000000e+01,  2.025000000e+01,  2.150000000e+01,
   2.275000000e+01,  2.400000000e+01,  2.400000000e+01,  2.400000000e+01,
   2.400000000e+01,
};
const float lut_svf_shift[] = {
   2.500000000e-01,  2.408119579e-01,  2.316544611e-01,  2.225575501e-01,
   2.135502761e-01,  2.046602549e-01,  1.959132760e-01,  1.873329789e-01,
   1.789406032e-01,  1.707548172e-01,  1.627916233e-01,  1.550643347e-01,
   1.475836177e-01,  1.403575876e-01,  1.333919506e-01,  1.266901772e-01,
   1.202537001e-01,  1.140821254e-01,  1.081734480e-01,  1.025242668e-01,
   9.712999179e-02,  9.198504051e-02,  8.708302003e-02,  8.241689360e-02,
   7.797913038e-02,  7.376183852e-02,  6.975688172e-02,  6.595598018e-02,
   6.235079694e-02,  5.893301078e-02,  5.569437701e-02,  5.262677742e-02,
   4.972226058e-02,  4.697307381e-02,  4.437168789e-02,  4.191081545e-02,
   3.958342416e-02,  3.738274529e-02,  3.530227864e-02,  3.333579426e-02,
   3.147733169e-02,  2.972119704e-02,  2.806195849e-02,  2.649444041e-02,
   2.501371653e-02,  2.361510230e-02,  2.229414676e-02,  2.104662398e-02,
   1.986852431e-02,  1.875604550e-02,  1.770558386e-02,  1.671372543e-02,
   1.577723728e-02,  1.489305906e-02,  1.405829467e-02,  1.327020425e-02,
   1.252619642e-02,  1.182382076e-02,  1.116076060e-02,  1.053482614e-02,
   9.943947824e-03,  9.386169992e-03,  8.859644866e-03,  8.362626781e-03,
   7.893466717e-03,  7.450607078e-03,  7.032576744e-03,  6.637986365e-03,
   6.265523903e-03,  5.913950392e-03,  5.582095932e-03,  5.268855886e-03,
   4.973187279e-03,  4.694105394e-03,  4.430680542e-03,  4.182035018e-03,
   3.947340207e-03,  3.725813861e-03,  3.516717519e-03,  3.319354065e-03,
   3.133065427e-03,  2.957230396e-03,  2.791262569e-03,  2.634608406e-03,
   2.486745394e-03,  2.347180309e-03,  2.215447582e-03,  2.091107747e-03,
   1.973745986e-03,  1.862970740e-03,  1.758412418e-03,  1.659722154e-03,
   1.566570656e-03,  1.478647104e-03,  1.395658114e-03,  1.317326764e-03,
   1.243391669e-03,  1.173606108e-03,  1.107737206e-03,  1.045565155e-03,
   9.868824789e-04,  9.314933471e-04,  8.792129165e-04,  8.298667176e-04,
   7.832900713e-04,  7.393275405e-04,  6.978324110e-04,  6.586662024e-04,
   6.216982059e-04,  5.868050482e-04,  5.538702800e-04,  5.227839874e-04,
   4.934424252e-04,  4.657476707e-04,  4.396072968e-04,  4.149340639e-04,
   3.916456285e-04,  3.696642688e-04,  3.489166247e-04,  3.293334538e-04,
   3.108493994e-04,  2.934027734e-04,  2.769353496e-04,  2.613921700e-04,
   2.467213608e-04,  2.328739600e-04,  2.198037532e-04,  2.074671201e-04,
   1.958228884e-04,  1.848321967e-04,  1.744583648e-04,  1.646667709e-04,
   1.554247368e-04,  1.467014179e-04,  1.384677010e-04,  1.306961070e-04,
   1.233606989e-04,  1.164369956e-04,  1.099018897e-04,  1.037335710e-04,
   9.791145345e-05,  9.241610615e-05,  8.722918894e-05,  8.233339098e-05,
   7.771237301e-05,  7.335071282e-05,  6.923385378e-05,  6.534805627e-05,
   6.168035179e-05,  5.821849973e-05,  5.495094649e-05,  5.186678690e-05,
   4.895572788e-05,  4.620805405e-05,  4.361459529e-05,  4.116669618e-05,
   3.885618709e-05,  3.667535690e-05,  3.461692730e-05,  3.267402848e-05,
   3.084017618e-05,  2.910925011e-05,  2.747547345e-05,  2.593339362e-05,
   2.447786409e-05,  2.310402715e-05,  2.180729775e-05,  2.058334818e-05,
   1.942809362e-05,  1.833767851e-05,  1.730846370e-05,  1.633701428e-05,
   1.542008813e-05,  1.455462508e-05,  1.373773675e-05,  1.296669683e-05,
   1.223893206e-05,  1.155201359e-05,  1.090364889e-05,  1.029167410e-05,
   9.714046817e-06,  9.168839263e-06,  8.654231857e-06,  8.168507146e-06,
   7.710044069e-06,  7.277312546e-06,  6.868868378e-06,  6.483348419e-06,
   6.119466033e-06,  5.776006796e-06,  5.451824445e-06,  5.145837051e-06,
   4.857023409e-06,  4.584419632e-06,  4.327115929e-06,  4.084253574e-06,
   3.855022035e-06,  3.638656274e-06,  3.434434189e-06,  3.241674210e-06,
   3.059733017e-06,  2.888003398e-06,  2.725912223e-06,  2.572918525e-06,
   2.428511705e-06,  2.292209816e-06,  2.163557965e-06,  2.042126787e-06,
   1.927511018e-06,  1.819328137e-06,  1.717217095e-06,  1.620837105e-06,
   1.529866508e-06,  1.444001699e-06,  1.362956111e-06,  1.286459263e-06,
   1.214255852e-06,  1.146104908e-06,  1.081778982e-06,  1.021063394e-06,
   9.637555088e-07,  9.096640684e-07,  8.586085474e-07,  8.104185525e-07,
   7.649332542e-07,  7.220008496e-07,  6.814780557e-07,  6.432296314e-07,
   6.071279262e-07,  5.730524541e-07,  5.408894912e-07,  5.105316968e-07,
   4.818777544e-07,  4.548320342e-07,  4.293042737e-07,  4.052092763e-07,
   3.824666271e-07,  3.610004248e-07,  3.407390278e-07,  3.216148157e-07,
   3.035639631e-07,  2.865262270e-07,  2.704447456e-07,  2.552658484e-07,
   2.409388772e-07,  2.274160171e-07,  2.146521368e-07,  2.026046381e-07,
   1.912333136e-07,  1.805002124e-07,  1.703695139e-07,  1.608074078e-07,
   1.517819816e-07,  1.432631135e-07,  1.352223728e-07,  1.276329242e-07,
   1.204694386e-07,
};


const float* lookup_table_table[] = {
  lut_sine,
  lut_approx_svf_gain,
  lut_approx_svf_g,
  lut_approx_svf_r,
  lut_approx_svf_h,
  lut_4_decades,
  lut_accent_gain_coarse,
  lut_accent_gain_fine,
  lut_stiffness,
  lut_env_increments,
  lut_env_linear,
  lut_env_expo,
  lut_env_quartic,
  lut_midi_to_f_high,
  lut_midi_to_increment_high,
  lut_midi_to_f_low,
  lut_fm_frequency_quantizer,
  lut_detune_quantizer,
  lut_svf_shift,
};

const int16_t smp_sample_data[] = {
    -964,  18802,  14172,   4105,
    -683,  -8230,  -9767, -11901,
   -9644,  -8151,  -3559,   1879,
    9436,  17424,  24300,  29954,
   32336,  32766,  29522,  25380,
   19244,  13234,   6498,    904,
   -3418,  -6457,  -9009, -12085,
  -15035, -18313, -20401, -21668,
  -20389, -17359, -12440,  -7257,
   -2195,   2220,   5918,   8322,
    8765,   8295,   6858,   5306,
    2486,  -1017,  -5528, -10242,
  -15102, -19321, -22386, -23972,
  -23961, -22771, -19666, -15091,
   -9204,  -4345,  -1530,  -1395,
   -2761,  -4631,  -5810,  -5552,
   -4127,  -2468,  -2521,  -4369,
   -7655, -10850, -14013, -17097,
  -20572, -23655, -25558, -25618,
  -23503, -19607, -14074,  -7855,
    -650,   7166,  15082,  20447,
   21106,  16371,   8358,    761,
   -3987,  -5234,  -4572,  -3776,
   -4333,  -5898,  -7396,  -7208,
   -5689,  -4369,  -5021,  -7891,
  -11631, -14568, -15352, -13985,
  -10909,  -7474,  -4381,  -2036,
     177,   2232,   3459,   2880,
     784,  -1107,  -1339,    312,
    2336,   3486,   2909,   1212,
    -561,   -784,    917,   3628,
    5707,   6210,   5752,   5253,
    5337,   5327,   4832,   3367,
     762,  -3269,  -8270, -13317,
  -17431, -20297, -21881, -21825,
  -19980, -16495, -12605,  -9323,
   -7585,  -7332,  -8262,  -9454,
  -10143,  -9971,  -9199,  -8561,
   -7992,  -7179,  -5592,  -3568,
   -1429,    445,   2297,   4130,
    5968,   7767,   9367,  10695,
   11227,  10947,  10046,   9138,
    8207,   7017,   5322,   3515,
    1965,    951,    712,   1335,
    2846,   4569,   6196,   7874,
   10307,  13684,  17238,  19603,
   20006,  18343,  15305,  11617,
    8162,   5793,   4276,   3327,
    2716,   3138,   5076,   8402,
   12414,  16538,  20582,  24359,
   27627,  29920,  30903,  30270,
   27831,  23675,  18801,  14418,
   11191,   8609,   6148,   3520,
    1165,   -322,   -599,    423,
    1945,   3174,   2930,    977,
   -2400,  -6366, -10245, -13466,
  -15370, -15625, -14244, -11986,
   -9186,  -6303,  -3398,   -781,
    1352,   2962,   3802,   3395,
    1171,  -2542,  -6643,  -9791,
  -11376, -11505, -10781,  -9807,
   -9448, -10102, -11511, -12777,
  -13092, -12256, -10267,  -7278,
   -3450,    679,   4520,   7478,
    9410,  10051,   9345,   7459,
    4992,   2585,    314,  -1823,
   -3610,  -4374,  -3878,  -2370,
    -569,   1244,   2814,   4033,
    4752,   4835,   4612,   4203,
    3877,   3721,   4079,   5290,
    7223,   9242,  10698,  11093,
   10224,   8153,   5435,   2912,
     979,   -397,  -1500,  -2157,
   -2087,  -1373,   -805,  -1223,
   -3099,  -6273, -10364, -14600,
  -17889, -19432, -18966, -17187,
  -14574, -11480,  -8059,  -4612,
   -1426,   1369,   3719,   5486,
    6448,   6813,   6887,   6968,
    6826,   6343,   5643,   4965,
    4126,   2734,    692,  -1634,
   -3462,  -4118,  -3132,   -507,
    3220,   6859,   9397,  10300,
   10038,   9342,   8418,   7199,
    5608,   3720,   1656,   -350,
   -2184,  -3576,  -4723,  -5849,
   -7066,  -8045,  -8376,  -8255,
   -8077,  -8251,  -8688,  -9085,
   -9189,  -8815,  -7781,  -6390,
   -5350,  -5333,  -6251,  -7618,
   -9108, -10660, -12247, -13555,
  -14422, -14799, -14960, -15004,
  -15213, -16038, -17859, -20470,
  -23027, -24933, -26142, -27211,
  -28418, -29812, -31140, -31909,
  -31534, -29628, -26361, -22406,
  -18393, -14486, -10567,  -6638,
   -3072,    -88,   2214,   3786,
    4522,   4452,   3859,   3127,
    2395,   1659,   1113,   1049,
    1521,   2137,   2401,   2052,
    1270,    259,   -741,  -1546,
   -1874,  -1675,  -1097,   -161,
    1145,   2775,   4212,   5052,
    5196,   4812,   4013,   2828,
    1353,   -158,  -1537,  -2878,
   -4188,  -5272,  -5920,  -6373,
   -6982,  -7860,  -8668,  -9075,
   -9201,  -9226,  -9156,  -8966,
   -8656,  -8309,  -7733,  -6799,
   -5603,  -4393,  -3517,  -2871,
   -2416,  -1941,  -1555,  -1250,
    -919,   -673,   -573,   -775,
   -1069,  -1580,  -2495,  -4074,
   -6059,  -7893,  -9086,  -9463,
   -9373,  -8992,  -8535,  -8011,
   -7515,  -6804,  -5594,  -3702,
   -1229,   1568,   4768,   8266,
   11950,  15513,  18731,  21330,
   22973,  23539,  23071,  21816,
   19993,  17590,  14766,  11975,
    9672,   8027,   6806,   5847,
    5149,   4651,   4196,   3837,
    3793,   4163,   4661,   4928,
    4796,   4405,   4094,   3849,
    3655,   3439,   3164,   2741,
    2108,   1519,   1164,    996,
     688,     92,   -853,  -2137,
   -3823,  -5982,  -8372, -10728,
  -12599, -13808, -14233, -13885,
  -13005, -11929, -11227, -10968,
  -11051, -11248, -11471, -11658,
  -11642, -11314, -10517,  -9278,
   -7663,  -5859,  -4146,  -2786,
   -1869,  -1273,   -795,   -332,
     212,    757,   1423,   1964,
    2262,   2356,   2259,   1954,
     997,   -239,  -1615,  -2295,
   -2459,  -1854,   -919,    368,
    3112,   4629,   6469,   8685,
    9818,  10553,  10134,   9280,
    7950,   6678,   5395,   4310,
    3666,   3372,   3496,   3611,
    3762,   3650,   3460,   3168,
    2980,   2973,   3180,   3315,
    3052,   2290,   1190,     96,
    -957,  -1724,  -2388,  -2900,
   -3358,  -3576,  -3353,  -2555,
   -1187,    424,   1963,   3164,
    4038,   4400,   4216,   3621,
    3004,   2600,   2799,   3783,
    5528,   7630,   9508,  11135,
   12538,  13938,  15204,  16101,
   16424,  16197,  15553,  14558,
   13513,  12763,  12353,  11819,
   10647,   8818,   6630,   4414,
    2328,    461,  -1253,  -2925,
   -4346,  -5410,  -5846,  -5759,
   -5269,  -4723,  -4416,  -4259,
   -4309,  -4326,  -4449,  -4406,
   -4048,  -3215,  -1748,    278,
    2844,   5547,   8197,  10433,
   12130,  13427,  14458,  15242,
   15683,  15761,  15559,  15010,
   14135,  13073,  11870,  10495,
    8834,   7086,   5433,   3989,
    2588,   1143,   -372,  -1832,
   -3075,  -4025,  -4474,  -4452,
   -4170,  -4036,  -4038,  -3795,
   -3012,  -1794,   -249,   1537,
    3477,   5347,   6949,   8341,
    9517,  10545,  11253,  11609,
   11563,  11280,  10842,  10135,
    9161,   8011,   6932,   6008,
    5311,   4725,   4140,   3443,
    2757,   2284,   2158,   2419,
    2945,   3487,   3843,   4188,
    4684,   5355,   6106,   6870,
    7467,   7651,   7331,   6746,
    6194,   5694,   5087,   4326,
    3414,   2339,   1197,     27,
   -1025,  -1899,  -2667,  -3515,
   -4412,  -5240,  -6205,  -7572,
   -9290, -11028, -12561, -13870,
  -14807, -15094, -14791, -14165,
  -13476, -12601, -11406,  -9763,
   -7867,  -5945,  -3935,  -1835,
     435,   2583,   4617,   6435,
    8003,   9285,  10246,  10992,
   11308,  11214,  10605,   9515,
    8046,   6478,   5117,   4030,
    3306,   2878,   2617,   2372,
    2119,   1973,   1821,   1406,
     646,   -359,  -1361,  -2123,
   -2455,  -2233,  -1338,    163,
    2070,   4003,   5784,   7272,
    8167,   8404,   8096,   7603,
    6866,   5923,   4862,   3865,
    2896,   1821,    846,     11,
    -609,  -1456,  -2711,  -4347,
   -6044,  -7367,  -8241,  -8481,
   -8043,  -7080,  -6080,  -5429,
   -5186,  -5227,  -5526,  -6003,
   -6477,  -6757,  -6635,  -5990,
   -4794,  -3173,  -1379,    398,
    1991,   3180,   3968,   4380,
    4378,   3990,   3473,   3044,
    2882,   2988,   3304,   3645,
    3715,   3425,   2655,   1706,
     746,    -75,   -805,  -1486,
   -1856,  -1917,  -1683,  -1265,
    -528,    501,   1549,   2474,
    3394,   4430,   5549,   6746,
    8124,   9886,  11964,  14135,
   16063,  17553,  18500,  18642,
   17898,  16452,  14697,  12858,
   10855,   8732,   6640,   4696,
    2833,   1086,   -496,  -1933,
   -3206,  -4333,  -5316,  -6261,
   -7056,  -7745,  -8365,  -8918,
   -9384,  -9614,  -9763,  -9835,
   -9839,  -9795,  -9634,  -9135,
   -8144,  -6773,  -5206,  -3702,
   -2454,  -1477,   -777,   -378,
    -329,   -685,  -1216,  -1894,
   -2726,  -3537,  -4051,  -4235,
   -4358,  -4427,  -4298,  -3925,
   -3384,  -2891,  -2577,  -2312,
   -2084,  -1682,  -1001,     61,
    1562,   3058,   4303,   5362,
    6429,   7446,   8186,   8600,
    8729,   8558,   8151,   7590,
    7037,   6474,   5829,   4977,
    3764,   2258,    459,  -1515,
   -3729,  -5957,  -7997,  -9765,
  -11094, -11999, -12557, -13004,
  -13356, -13540, -13480, -13218,
  -12699, -12002, -11187, -10284,
   -9351,  -8401,  -7587,  -6844,
   -6217,  -5848,  -5748,  -5670,
   -5426,  -4985,  -4523,  -4065,
   -3538,  -2971,  -2337,  -1851,
   -1530,  -1439,  -1569,  -1879,
   -2294,  -2422,  -2097,  -1477,
    -705,    201,   1227,   2190,
    2844,   3213,   3279,   2980,
    2336,   1505,    780,    324,
     150,    140,    156,    232,
     372,    450,    426,    333,
     182,    -65,   -317,   -398,
    -348,   -288,   -293,   -455,
    -826,  -1481,  -2229,  -2937,
   -3589,  -4178,  -4795,  -5394,
   -5949,  -6234,  -6355,  -6435,
   -6572,  -6772,  -7029,  -7525,
   -8102,  -8670,  -8981,  -9024,
   -8785,  -8415,  -8015,  -7513,
   -7086,  -6896,  -7042,  -7294,
   -7553,  -7858,  -8189,  -8449,
   -8645,  -8800,  -8952,  -8938,
   -8772,  -8581,  -8455,  -8552,
   -8676,  -8786,  -8666,  -8393,
   -7943,  -7204,  -6369,  -5507,
   -4679,  -3799,  -2940,  -2313,
   -1955,  -1693,  -1564,  -1348,
    -922,   -303,    476,   1297,
    2187,   3060,   3837,   4354,
    4442,   3967,   3144,   2200,
    1351,    665,    295,    239,
     238,    240,    217,    270,
     306,    306,     90,   -308,
    -756,   -955,   -906,   -904,
    -916,  -1161,  -1598,  -2409,
   -3529,  -4773,  -6103,  -7469,
   -8837, -10019, -10852, -11101,
  -10820, -10190,  -9446,  -8684,
   -8175,  -8016,  -8075,  -8231,
   -8354,  -8489,  -8372,  -7869,
   -6912,  -5571,  -3948,  -2125,
    -389,   1152,   2483,   3576,
    4455,   5171,   5691,   5997,
    6093,   5971,   5527,   4667,
    3492,   1982,    219,  -1652,
   -3349,  -4642,  -5606,  -6131,
   -6248,  -5983,  -5441,  -4735,
   -4010,  -3508,  -3162,  -2948,
   -2908,  -2992,  -2946,  -2620,
   -1983,  -1221,   -447,    215,
     542,    440,   -262,  -1396,
   -2694,  -3740,  -4382,  -4671,
   -4545,  -4125,  -3634,  -3303,
   -3171,  -3168,  -3383,  -3863,
   -4407,  -4940,  -5239,  -5145,
   -4523,  -3410,  -2034,   -633,
     507,   1220,   1368,   1061,
     182,  -1086,  -2495,  -3844,
   -4875,  -5495,  -5561,  -5319,
   -5036,  -4892,  -4909,  -5198,
   -5720,  -6313,  -6875,  -7210,
   -7199,  -6651,  -5598,  -4181,
   -2540,  -1014,     20,    412,
     239,   -256,   -944,  -1625,
   -2157,  -2483,  -2482,  -2273,
   -1988,  -1783,  -1610,  -1527,
   -1683,  -2008,  -2188,  -1885,
   -1217,   -185,   1166,   2762,
    4481,   6062,   7415,   8281,
    8620,   8455,   7870,   7060,
    6163,   5406,   4670,   4006,
    3473,   2924,   2279,   1485,
     576,   -476,  -1698,  -2863,
   -3666,  -4092,  -4088,  -3758,
   -3187,  -2492,  -1647,   -577,
     545,   1745,   2881,   4011,
    5160,   6474,   8105,   9841,
   11511,  12864,  13755,  14038,
   13703,  12805,  11520,  10071,
    8719,   7701,   6951,   6614,
    6746,   7121,   7426,   7419,
    7250,   6937,   6498,   5979,
    5452,   5088,   4834,   4773,
    4807,   4953,   5180,   5296,
    5211,   4891,   4566,   4236,
    3941,   3728,   3737,   3911,
    4173,   4637,   5223,   5758,
    6062,   6221,   6279,   6286,
    6297,   6484,   6870,   7510,
    8409,   9353,  10287,  11060,
   11721,  12160,  12375,  12519,
   12566,  12428,  12065,  11577,
   10994,  10455,   9974,   9555,
    9058,   8331,   7530,   6562,
    5522,   4641,   4046,   3752,
    3551,   3505,   3622,   3844,
    4080,   4284,   4477,   4672,
    4890,   5017,   5121,   5166,
    5228,   5134,   4722,   4154,
    3535,   2900,   2152,   1451,
     730,    -41,   -780,  -1358,
   -1697,  -1938,  -2087,  -2176,
   -2237,  -2252,  -2196,  -2000,
   -1538,   -889,    -91,    671,
    1341,   2019,   2523,   2707,
    2540,   2141,   1615,   1102,
     772,    775,    972,   1258,
    1541,   1688,   1666,   1559,
    1512,   1334,   1073,    757,
     478,    214,    -24,    -83,
     -10,    261,    598,   1082,
    1718,   2587,   3672,   4732,
    5735,   6649,   7490,   8039,
    8282,   8285,   8120,   7713,
    7180,   6712,   6268,   5897,
    5404,   4919,   4320,   3655,
    3059,   2460,   1935,   1305,
     694,    102,   -244,   -283,
    -143,    125,    421,    858,
    1211,   1454,   1627,   1716,
    1683,   1457,   1149,    880,
     660,    485,    305,    -53,
    -569,  -1126,  -1615,  -2024,
   -2277,  -2304,  -2114,  -1761,
   -1218,   -469,    364,   1119,
    1624,   1769,   1545,   1124,
     512,   -267,  -1157,  -1929,
   -2546,  -3079,  -3394,  -3445,
   -3327,  -3343,  -3515,  -3861,
   -4249,  -4621,  -4860,  -4940,
   -4924,  -4739,  -4449,  -4065,
   -3738,  -3516,  -3647,  -4044,
   -4650,  -5317,  -5888,  -6391,
   -6506,  -6409,  -6276,  -6267,
   -6364,  -6623,  -7157,  -7938,
   -8851,  -9676, -10273, -10417,
  -10180,  -9566,  -8645,  -7494,
   -6218,  -4998,  -3833,  -2846,
   -2176,  -1836,  -1739,  -1770,
   -1820,  -1785,  -1734,  -1884,
   -2245,  -2835,  -3698,  -4816,
   -6069,  -7288,  -8442,  -9461,
  -10122, -10280,  -9929,  -9200,
   -8233,  -7153,  -6146,  -5181,
   -4371,  -3685,  -3116,  -2664,
   -2226,  -1866,  -1309,   -525,
     336,   1162,   1831,   2189,
    2168,   1894,   1586,   1306,
     940,    570,    246,    -41,
    -343,   -605,   -863,  -1046,
   -1096,   -980,   -624,    -47,
     878,   1975,   3083,   4147,
    5130,   5971,   6618,   7010,
    7097,   6879,   6411,   5928,
    5468,   5215,   5234,   5585,
    6148,   6663,   7263,   7825,
    8380,   8861,   9212,   9559,
    9810,  10125,  10472,  10746,
   10972,  11058,  10959,  10687,
   10280,   9701,   8849,   7706,
    6481,   5349,   4351,   3582,
    3004,   2465,   1877,   1280,
     850,    510,    264,    207,
     262,    530,    939,   1483,
    2071,   2566,   2880,   2904,
    2656,   2292,   2028,   1693,
    1312,    834,    440,    255,
     236,    551,    827,    922,
     750,    326,   -180,   -596,
    -700,   -541,   -258,     27,
     357,    716,   1051,   1236,
    1175,    886,    517,    250,
      66,      0,     71,    174,
     301,    382,    555,    773,
     817,    750,    442,     60,
    -294,   -454,   -271,     55,
     461,    796,   1034,   1190,
    1391,   1664,   1988,   2245,
    2435,   2672,   2914,   3337,
    3765,   4012,   4026,   3830,
    3540,   3067,   2423,   1718,
    1007,    399,    -12,   -154,
     -21,    269,    700,   1067,
    1203,   1239,   1240,   1222,
    1140,    863,    373,   -340,
   -1179,  -1937,  -2594,  -3108,
   -3531,  -3984,  -4542,  -5159,
   -5642,  -5988,  -6275,  -6452,
   -6460,  -6278,  -5859,  -5189,
   -4319,  -3345,  -2349,  -1427,
    -594,     44,    440,    612,
     451,     95,   -376,   -842,
   -1164,  -1324,  -1338,  -1390,
   -1528,  -1755,  -1993,  -2218,
   -2323,  -2123,  -1746,  -1207,
    -581,     74,    669,   1019,
    1139,    970,    547,    -26,
    -717,  -1516,  -2327,  -3009,
   -3441,  -3640,  -3633,  -3453,
   -3210,  -2977,  -2812,  -2723,
   -2776,  -2748,  -2571,  -2233,
   -1737,  -1144,   -316,    496,
    1251,   1929,   2494,   2991,
    3261,   3379,   3297,   2972,
    2534,   1955,   1304,    589,
    -201,  -1124,  -2297,  -3576,
   -4987,  -6349,  -7543,  -8443,
   -9007,  -9482,  -9744,  -9882,
   -9911,  -9880,  -9747,  -9376,
   -8849,  -8095,  -7191,  -6189,
   -5154,  -4237,  -3434,  -2800,
   -2297,  -1801,  -1428,  -1126,
    -909,   -761,   -676,   -719,
    -728,   -687,   -563,   -360,
    -123,     96,    256,    405,
     542,    524,    387,    266,
     246,    405,    648,   1015,
    1388,   1718,   1943,   2013,
    1933,   1688,   1435,   1106,
     820,    750,    928,   1341,
    1996,   2830,   3719,   4579,
    5303,   6001,   6573,   6977,
    7330,   7608,   7840,   7963,
    8033,   8027,   7828,   7412,
    6668,   5656,   4474,   3185,
    1835,    429,   -881,  -2025,
   -3014,  -3836,  -4448,  -4853,
   -5135,  -5311,  -5364,  -5294,
   -5141,  -4936,  -4632,  -4317,
   -3898,  -3236,  -2484,  -1660,
    -852,   -210,    227,    285,
      -4,   -490,  -1101,  -1659,
   -2155,  -2601,  -2966,  -3166,
   -3244,  -3306,  -3262,  -3124,
   -2747,  -2162,  -1337,   -278,
     806,   1885,   2867,   3792,
    4560,   5173,   5693,   6091,
    6341,   6446,   6426,   6266,
    6063,   5846,   5644,   5482,
    5426,   5371,   5197,   4876,
    4449,   3993,   3491,   3077,
    2815,   2641,   2484,   2274,
    2018,   1710,   1336,   1041,
     731,    421,    233,    185,
     401,    758,   1293,   1877,
    2313,   2633,   2767,   2777,
    2690,   2519,   2326,   2177,
    2256,   2724,   3403,   4028,
    4471,   4572,   4313,   3747,
    3028,   2299,   1576,   1000,
     568,    331,    271,    345,
     517,    528,    308,   -260,
   -1093,  -2032,  -2953,  -3767,
   -4480,  -4919,  -5021,  -4759,
   -4238,  -3564,  -2835,  -2204,
   -1802,  -1550,  -1401,  -1443,
   -1623,  -2005,  -2450,  -2890,
   -3218,  -3318,  -3287,  -3063,
   -2757,  -2455,  -2253,  -2193,
   -2197,  -2158,  -1887,  -1288,
    -347,    788,   1984,   3058,
    3928,   4532,   5004,   5520,
    5918,   6220,   6339,   6284,
    5997,   5458,   4804,   3998,
    3131,   2189,   1319,    555,
     -30,   -313,   -399,   -184,
     335,   1150,   2237,   3464,
    4742,   5909,   6916,   7860,
    8808,   9685,  10378,  10899,
   11154,  11115,  10693,   9936,
    8945,   7698,   6351,   4914,
    3538,   2301,   1333,    675,
     303,    336,    664,   1206,
    1833,   2409,   2832,   3048,
    2999,   2798,   2365,   1773,
    1126,    418,   -239,   -944,
   -1485,  -1911,  -2248,  -2474,
   -2606,  -2641,  -2642,  -2600,
   -2601,  -2538,  -2447,  -2299,
   -2158,  -2065,  -2001,  -1980,
   -1978,  -1943,  -1761,  -1556,
   -1401,  -1391,  -1546,  -1991,
   -2705,  -3513,  -4424,  -5276,
   -5997,  -6446,  -6512,  -6382,
   -6101,  -5710,  -5245,  -4615,
   -3825,  -2912,  -1881,   -694,
     596,   1877,   3070,   4151,
    4996,   5488,   5598,   5325,
    4715,   3862,   2941,   2025,
    1160,    367,   -260,   -790,
   -1211,  -1509,  -1727,  -1855,
   -2043,  -2232,  -2496,  -2802,
   -3109,  -3432,  -3638,  -3666,
   -3471,  -3063,  -2597,  -2137,
   -1654,  -1280,   -973,   -791,
    -700,   -725,   -903,  -1115,
   -1385,  -1716,  -2110,  -2521,
   -2898,  -3176,  -3280,  -3105,
   -2753,  -2199,  -1531,   -756,
     182,   1198,   2293,   3292,
    4231,   5025,   5615,   5896,
    5928,   5877,   5747,   5578,
    5333,   5001,   4537,   4013,
    3402,   2747,   1970,   1187,
     453,   -263,   -909,  -1610,
   -2291,  -3040,  -3732,  -4322,
   -4781,  -5009,  -5037,  -4874,
   -4519,  -3945,  -3142,  -2078,
    -924,    336,   1562,   2547,
    3257,   3737,   4133,   4495,
    4910,   5396,   5805,   6105,
    6259,   6242,   6085,   5714,
    5283,   4771,   4313,   3968,
    3641,   3314,   2835,   2275,
    1463,    510,   -557,  -1654,
   -2726,  -3818,  -4636,  -5216,
   -5375,  -5234,  -4817,  -4175,
   -3541,  -2846,  -2236,  -1700,
   -1236,   -848,   -542,   -371,
    -354,   -430,   -635,   -957,
   -1349,  -1866,  -2419,  -2965,
   -3402,  -3701,  -3835,  -3767,
   -3432,  -2960,  -2334,  -1539,
    -781,    -22,    578,   1132,
    1641,   2143,   2737,   3353,
    3989,   4537,   5063,   5432,
    5635,   5617,   5357,   4862,
    4129,   3230,   2072,    743,
    -607,  -1809,  -2763,  -3331,
   -3443,  -3140,  -2577,  -1880,
   -1144,   -418,    232,    763,
    1275,   1702,   2127,   2490,
    2793,   3017,   3197,   3369,
    3422,   3464,   3542,   3747,
    4052,   4457,   4837,   5108,
    5270,   5379,   5524,   5617,
    5708,   5758,   5751,   5673,
    5527,   5362,   5114,   4715,
    4184,   3487,   2755,   2095,
    1577,   1251,    961,    741,
     455,    134,   -172,   -492,
    -809,  -1281,  -1855,  -2574,
   -3357,  -4016,  -4389,  -4370,
   -4121,  -3669,  -3093,  -2527,
   -2061,  -1812,  -1748,  -1936,
   -2381,  -3017,  -3768,  -4516,
   -5140,  -5609,  -5981,  -6189,
   -6251,  -6208,  -6166,  -6116,
   -6111,  -6181,  -6328,  -6541,
   -6661,  -6737,  -6575,  -6210,
   -5669,  -5029,  -4422,  -3838,
   -3430,  -3160,  -3055,  -3019,
   -3031,  -3028,  -2997,  -2934,
   -2873,  -2878,  -2985,  -3434,
   -4093,  -4989,  -5940,  -6721,
   -7253,  -7340,  -7099,  -6496,
   -5616,  -4548,  -3395,  -2215,
    -959,    169,   1152,   1939,
    2560,   3090,   3469,   3788,
    4012,   4159,   4240,   4212,
    4090,   3867,   3511,   2924,
    2068,   1106,    230,   -511,
   -1005,  -1253,  -1283,  -1211,
   -1127,   -963,   -763,   -462,
    -116,    281,    710,   1181,
    1759,   2320,   2845,   3166,
    3174,   2830,   2058,    983,
    -336,  -1847,  -3306,  -4590,
   -5628,  -6330,  -6713,  -6794,
   -6740,  -6679,  -6693,  -6834,
   -7044,  -7263,  -7340,  -7280,
   -6998,  -6440,  -5713,  -4857,
   -4107,  -3510,  -3081,  -2859,
   -2636,  -2401,  -2101,  -1628,
   -1078,   -457,    194,    862,
    1451,   1778,   1735,   1294,
     573,   -457,  -1570,  -2595,
   -3419,  -3893,  -4059,  -3838,
   -3377,  -2717,  -1976,  -1272,
    -641,   -135,    319,    683,
    1035,   1387,   1687,   1918,
    2090,   2278,   2468,   2649,
    2827,   2945,   3006,   2986,
    2993,   3074,   3181,   3390,
    3628,   3911,   4185,   4479,
    4733,   4859,   4864,   4749,
    4512,   4159,   3833,   3547,
    3421,   3355,   3327,   3197,
    2921,   2597,   2160,   1762,
    1331,   1011,    733,    492,
     326,    255,    329,    381,
     516,    644,    749,    831,
     833,    740,    559,    293,
      -7,   -273,   -487,   -567,
    -556,   -463,   -285,    -32,
     240,    497,    735,    955,
    1108,   1252,   1454,   1648,
    1804,   1798,   1615,   1214,
     653,    -24,   -802,  -1655,
   -2586,  -3481,  -4331,  -5034,
   -5535,  -5807,  -5869,  -5791,
   -5547,  -5175,  -4708,  -4161,
   -3650,  -3212,  -2805,  -2419,
   -2030,  -1689,  -1362,  -1036,
    -754,   -525,   -253,    156,
     643,   1195,   1665,   1998,
    2202,   2222,   2122,   1882,
    1490,    995,    364,   -362,
   -1014,  -1604,  -2089,  -2459,
   -2746,  -2910,  -3005,  -2930,
   -2649,  -2162,  -1608,  -1054,
    -544,   -146,    238,    550,
     846,   1054,   1207,   1365,
    1537,   1835,   2206,   2600,
    2895,   3038,   3055,   2988,
    2811,   2607,   2377,   2120,
    1903,   1777,   1766,   1841,
    2066,   2266,   2433,   2484,
    2467,   2502,   2476,   2421,
    2319,   2222,   2140,   2118,
    2115,   2161,   2305,   2507,
    2788,   3194,   3727,   4364,
    5014,   5559,   6058,   6384,
    6480,   6341,   5949,   5303,
    4404,   3288,   2069,    843,
    -422,  -1602,  -2744,  -3749,
   -4523,  -5094,  -5373,  -5356,
   -5072,  -4531,  -3853,  -3104,
   -2326,  -1659,  -1055,   -554,
     -26,    510,   1047,   1590,
    2044,   2440,   2658,   2751,
    2622,   2275,   1758,   1083,
     247,   -673,  -1556,  -2396,
   -3121,  -3767,  -4273,  -4687,
   -4988,  -5223,  -5378,  -5389,
   -5238,  -4901,  -4413,  -3747,
   -2937,  -1964,  -1009,    -54,
     815,   1489,   1927,   2105,
    2193,   2178,   2145,   2072,
    1967,   1821,   1643,   1448,
    1233,   1043,    850,    608,
     285,    -77,   -503,   -989,
   -1556,  -2014,  -2302,  -2342,
   -2102,  -1712,  -1197,   -745,
    -371,    -71,    205,    470,
     781,   1049,   1229,   1413,
    1596,   1865,   2123,   2411,
    2670,   2844,   2940,   2965,
    2945,   2907,   2883,   2828,
    2849,   2927,   3182,   3522,
    3859,   4231,   4533,   4745,
    4781,   4694,   4489,   4262,
    4007,   3803,   3802,   3914,
    4184,   4450,   4607,   4627,
    4404,   3944,   3271,   2499,
    1661,    800,    -25,   -722,
   -1195,  -1531,  -1712,  -1717,
   -1560,  -1245,   -808,   -252,
     367,    960,   1478,   1816,
    1961,   2005,   1914,   1780,
    1592,   1358,   1093,    712,
     272,   -209,   -662,  -1084,
   -1494,  -1917,  -2295,  -2660,
   -3001,  -3303,  -3626,  -3820,
   -3954,  -4048,  -4115,  -4072,
   -3854,  -3510,  -2954,  -2228,
   -1277,   -201,    853,   1846,
    2637,   3245,   3644,   3768,
    3738,   3552,   3188,   2652,
    1972,   1293,    707,    278,
      40,     48,    192,    379,
     505,    510,    440,    193,
    -162,   -585,  -1034,  -1410,
   -1707,  -1884,  -1944,  -1832,
   -1636,  -1477,  -1345,  -1325,
   -1357,  -1470,  -1599,  -1679,
   -1685,  -1569,  -1391,  -1061,
    -656,   -108,    459,    983,
    1481,   1878,   2282,   2495,
    2626,   2728,   2789,   2829,
    2849,   2835,   2740,   2551,
    2142,   1599,    898,    217,
    -486,  -1123,  -1550,  -1829,
   -1863,  -1870,  -1757,  -1522,
   -1199,   -785,   -291,    307,
     922,   1548,   2111,   2622,
    3022,   3270,   3296,   3142,
    2866,   2502,   2117,   1724,
    1378,   1077,    763,    383,
       5,   -397,   -793,  -1236,
   -1727,  -2179,  -2562,  -2727,
   -2648,  -2293,  -1733,  -1033,
    -276,    461,   1208,   1900,
    2465,   2758,   2727,   2435,
    1884,   1177,    370,   -499,
   -1310,  -2135,  -2904,  -3602,
   -4152,  -4468,  -4695,  -4788,
   -4806,  -4617,  -4215,  -3609,
   -2673,  -1580,   -383,    756,
    1799,   2815,   3749,   4569,
    5206,   5630,   5854,   5909,
    5806,   5626,   5393,   5080,
    4629,   3956,   3158,   2229,
    1197,    189,   -722,  -1413,
   -1889,  -2138,  -2144,  -1955,
   -1593,  -1117,   -606,    -82,
     396,    746,    947,    928,
     773,    558,    296,     66,
    -104,   -232,   -388,   -597,
    -866,  -1157,  -1385,  -1494,
   -1529,  -1444,  -1249,   -979,
    -645,   -358,    -38,    292,
     569,    797,    973,   1100,
    1157,   1149,   1099,   1065,
    1067,   1099,   1092,   1022,
     876,    637,    367,    112,
     -51,   -104,   -116,    -36,
     131,    328,    564,    779,
    1021,   1259,   1455,   1667,
    1813,   1869,   1838,   1653,
    1336,    977,    657,    387,
     145,    -62,   -245,   -392,
    -476,   -462,   -307,    -13,
     369,    809,   1205,   1556,
    1810,   1892,   1865,   1645,
    1398,   1109,    778,    514,
     297,    237,    286,    512,
     902,   1391,   1872,   2171,
    2254,   2117,   1848,   1632,
    1484,   1472,   1619,   1747,
    1862,   1867,   1809,   1616,
    1293,    876,    338,   -190,
    -759,  -1212,  -1571,  -1814,
   -1978,  -2073,  -2056,  -1964,
   -1775,  -1626,  -1503,  -1419,
   -1300,  -1092,   -706,   -140,
     548,   1281,   1968,   2637,
    3224,   3783,   4277,   4697,
    5009,   5246,   5422,   5543,
    5636,   5642,   5599,   5399,
    5077,   4606,   4025,   3327,
    2443,   1443,    306,   -800,
   -1821,  -2656,  -3283,  -3717,
   -3881,  -3922,  -3833,  -3618,
   -3328,  -3007,  -2668,  -2330,
   -2009,  -1684,  -1450,  -1281,
   -1213,  -1236,  -1267,  -1301,
   -1345,  -1400,  -1473,  -1585,
   -1687,  -1778,  -1819,  -1901,
   -2007,  -2095,  -2239,  -2321,
   -2314,  -2208,  -1940,  -1593,
   -1180,   -695,   -211,    334,
     848,   1282,   1588,   1666,
    1547,   1259,    857,    386,
      11,   -352,   -560,   -646,
    -683,   -599,   -563,   -465,
    -463,   -412,   -285,   -175,
      38,    219,    384,    452,
     390,    222,    -41,   -411,
    -894,  -1466,  -2034,  -2559,
   -2936,  -3064,  -3006,  -2718,
   -2346,  -1901,  -1462,  -1028,
    -549,   -120,    362,    832,
    1302,   1721,   2071,   2329,
    2404,   2316,   2039,   1608,
    1037,    370,   -366,  -1142,
   -1954,  -2734,  -3441,  -4055,
   -4515,  -4846,  -5005,  -5032,
   -4912,  -4626,  -4180,  -3582,
   -2848,  -2071,  -1307,   -506,
     248,   1001,   1692,   2280,
    2739,   2972,   3014,   2866,
    2561,   2093,   1470,    742,
       9,   -629,  -1060,  -1263,
   -1298,  -1254,  -1253,  -1357,
   -1568,  -1798,  -2045,  -2283,
   -2546,  -2853,  -3172,  -3484,
   -3677,  -3771,  -3756,  -3709,
   -3709,  -3732,  -3833,  -3936,
   -4004,  -4057,  -4069,  -4055,
   -4002,  -3913,  -3805,  -3704,
   -3645,  -3631,  -3576,  -3422,
   -3151,  -2720,  -2204,  -1634,
   -1066,   -547,    -90,    244,
     468,    618,    652,    539,
     306,    -73,   -537,  -1069,
   -1649,  -2205,  -2713,  -3147,
   -3493,  -3745,  -3908,  -3900,
   -3730,  -3445,  -3047,  -2624,
   -2263,  -2029,  -1906,  -1861,
   -1889,  -1943,  -2074,  -2165,
   -2200,  -2208,  -2065,  -1945,
   -1818,  -1703,  -1685,  -1645,
   -1618,  -1578,  -1540,  -1531,
   -1541,  -1552,  -1524,  -1456,
   -1335,  -1158,   -977,   -765,
    -536,   -313,    -83,    120,
     297,    368,    383,    373,
     340,    335,    354,    365,
     320,    232,    100,      3,
       5,     66,    238,    505,
     847,   1230,   1542,   1761,
    1780,   1704,   1490,   1165,
     898,    619,    468,    339,
     256,    209,     90,    -31,
    -197,   -345,   -488,   -662,
    -843,  -1045,  -1242,  -1363,
   -1459,  -1436,  -1310,  -1074,
    -718,   -392,    -73,    137,
     250,    308,    332,    333,
     319,    223,     40,   -255,
    -647,   -971,  -1277,  -1451,
   -1478,  -1392,  -1204,   -975,
    -741,   -538,   -384,   -367,
    -419,   -522,   -587,   -514,
    -280,    159,    772,   1440,
    2023,   2483,   2786,   2933,
    2926,   2754,   2477,   2144,
    1815,   1531,   1360,   1301,
    1305,   1403,   1482,   1591,
    1616,   1555,   1457,   1262,
    1172,   1063,   1039,   1093,
    1175,   1299,   1338,   1290,
    1083,    779,    359,    -83,
    -533,   -966,  -1334,  -1639,
   -1818,  -1926,  -1918,  -1826,
   -1681,  -1522,  -1339,  -1064,
    -739,   -332,    141,    558,
     891,   1084,   1109,   1105,
    1073,   1061,   1093,   1066,
    1052,    994,    909,    842,
     793,    830,    826,    881,
     946,   1048,   1218,   1329,
    1465,   1471,   1365,   1117,
     758,    366,     29,   -193,
    -379,   -461,   -577,   -721,
    -925,  -1127,  -1306,  -1440,
   -1509,  -1516,  -1349,  -1101,
    -647,   -102,    518,   1133,
    1648,   2114,   2453,   2755,
    2920,   3025,   2938,   2700,
    2393,   2012,   1713,   1416,
    1250,   1160,   1204,   1404,
    1701,   2109,   2537,   2934,
    3194,   3338,   3361,   3317,
    3175,   2929,   2586,   2126,
    1619,   1125,    698,    335,
     -20,   -443,   -922,  -1442,
   -1886,  -2245,  -2457,  -2556,
   -2586,  -2541,  -2457,  -2275,
   -1993,  -1596,  -1187,   -697,
    -231,    260,    753,   1205,
    1590,   1758,   1836,   1734,
    1596,   1390,   1206,   1011,
     796,    622,    404,    209,
     -77,   -391,   -839,  -1288,
   -1799,  -2241,  -2539,  -2720,
   -2675,  -2588,  -2408,  -2226,
   -1974,  -1725,  -1459,  -1246,
   -1074,   -897,   -705,   -367,
      48,    615,   1190,   1815,
    2382,   2840,   3165,   3309,
    3252,   3040,   2759,   2379,
    2029,   1641,   1301,    914,
     564,    224,    -75,   -322,
    -551,   -620,   -708,   -625,
    -534,   -407,   -227,    -61,
     194,    447,    729,    987,
    1271,   1526,   1815,   2106,
    2368,   2618,   2841,   3047,
    3197,   3300,   3308,   3237,
    3011,   2702,   2299,   1817,
    1362,    940,    590,    244,
    -115,   -512,   -859,  -1107,
   -1237,  -1231,  -1184,  -1073,
    -917,   -722,   -497,   -279,
     -94,     54,    186,    291,
     445,    582,    738,    924,
    1008,   1045,    952,    777,
     573,    323,     99,   -159,
    -467,   -782,  -1068,  -1236,
   -1272,  -1179,   -942,   -641,
    -246,    203,    647,   1066,
    1378,   1543,   1547,   1469,
    1349,   1316,   1359,   1419,
    1539,   1561,   1489,   1306,
    1018,    669,    276,   -114,
    -471,   -763,   -991,  -1104,
   -1181,  -1201,  -1216,  -1272,
   -1312,  -1372,  -1349,  -1247,
   -1105,   -911,   -687,   -477,
    -247,    -48,    166,    342,
     409,    422,    264,     89,
    -131,   -308,   -418,   -546,
    -585,   -651,   -637,   -545,
    -380,    -91,    208,    475,
     692,    794,    802,    735,
     506,    176,   -268,   -813,
   -1381,  -1927,  -2352,  -2665,
   -2879,  -2983,  -3051,  -3078,
   -3139,  -3233,  -3337,  -3469,
   -3584,  -3688,  -3719,  -3743,
   -3701,  -3671,  -3673,  -3672,
   -3734,  -3701,  -3661,  -3503,
   -3226,  -2907,  -2465,  -1978,
   -1423,   -788,    -80,    688,
    1522,   2381,   3164,   3875,
    4477,   4948,   5362,   5645,
    5841,   5924,   5897,   5858,
    5735,   5601,   5427,   5168,
    4796,   4268,   3521,   2621,
    1635,    585,   -365,  -1232,
   -1953,  -2536,  -3044,  -3467,
   -3808,  -4055,  -4218,  -4232,
   -4143,  -3957,  -3674,  -3384,
   -3031,  -2611,  -2118,  -1554,
    -958,   -325,    305,    892,
    1390,   1805,   2105,   2273,
    2287,   2175,   1977,   1629,
    1130,    469,   -325,  -1187,
   -2037,  -2843,  -3484,  -3943,
   -4270,  -4449,  -4556,  -4573,
   -4532,  -4426,  -4308,  -4173,
   -4023,  -3920,  -3807,  -3712,
   -3537,  -3274,  -3002,  -2673,
   -2377,  -2059,  -1711,  -1430,
   -1174,  -1034,   -978,  -1003,
   -1063,  -1101,  -1090,  -1010,
    -927,   -768,   -560,   -187,
     263,    818,   1433,   1984,
    2530,   2935,   3309,   3647,
    3937,   4085,   4076,   3859,
    3466,   2947,   2315,   1732,
    1122,    619,     87,   -424,
    -896,  -1324,  -1619,  -1898,
   -2061,  -2186,  -2253,  -2286,
   -2204,  -2042,  -1735,  -1311,
    -833,   -168,    546,   1337,
    2053,   2727,   3292,   3710,
    4010,   4080,   4057,   3876,
    3609,   3268,   2826,   2349,
    1822,   1236,    645,     26,
    -558,  -1045,  -1472,  -1693,
   -1766,  -1673,  -1432,  -1128,
    -805,   -549,   -448,   -546,
    -771,  -1081,  -1359,  -1609,
   -1736,  -1805,  -1789,  -1733,
   -1750,  -1745,  -1854,  -1993,
   -2229,  -2456,  -2608,  -2676,
   -2597,  -2482,  -2218,  -1897,
   -1535,  -1212,   -959,   -831,
    -872,  -1025,  -1290,  -1503,
   -1656,  -1724,  -1724,  -1626,
   -1458,  -1178,   -795,   -331,
     251,    830,   1370,   1732,
    1929,   1981,   1960,   1934,
    1937,   2076,   2306,   2594,
    2906,   3207,   3470,   3722,
    3877,   3974,   4016,   3968,
    3850,   3650,   3464,   3321,
    3267,   3260,   3312,   3384,
    3479,   3533,   3501,   3473,
    3311,   3058,   2678,   2165,
    1599,    971,    317,   -355,
    -987,  -1573,  -2161,  -2778,
   -3399,  -3976,  -4480,  -4870,
   -5113,  -5149,  -4948,  -4546,
   -3925,  -3155,  -2283,  -1373,
    -499,    381,   1218,   2036,
    2754,   3303,   3730,   3943,
    3953,   3830,   3570,   3309,
    3025,   2695,   2290,   1769,
    1210,    594,     57,   -445,
    -799,  -1017,  -1149,  -1111,
    -996,   -730,   -410,     -3,
     432,    942,   1481,   1966,
    2398,   2724,   3004,   3133,
    3199,   3174,   3073,   2821,
    2323,   1563,    598,   -457,
   -1551,  -2514,  -3292,  -3799,
   -4138,  -4255,  -4224,  -4031,
   -3595,  -3082,  -2425,  -1755,
   -1152,   -631,   -286,    -43,
     146,    241,    331,    341,
     279,    101,   -271,   -774,
   -1422,  -2063,  -2635,  -3030,
   -3215,  -3132,  -2846,  -2425,
   -1915,  -1418,   -921,   -466,
     -37,    320,    677,    947,
    1134,   1286,   1421,   1607,
    1844,   2137,   2434,   2787,
    3141,   3443,   3686,   3843,
    3858,   3730,   3375,   2883,
    2356,   1849,   1449,   1131,
    1015,    986,   1080,   1183,
    1257,   1316,   1256,   1138,
     878,    600,    283,    -72,
    -426,   -789,  -1119,  -1409,
   -1609,  -1716,  -1730,  -1641,
   -1539,  -1399,  -1184,   -925,
    -558,   -162,    280,    716,
    1095,   1397,   1593,   1709,
    1767,   1755,   1648,   1508,
    1315,   1127,    901,    693,
     482,    312,    213,    181,
     274,    462,    794,   1123,
    1541,   1958,   2399,   2835,
    3214,   3602,   3866,   4088,
    4115,   4055,   3933,   3737,
    3540,   3297,   3027,   2717,
    2354,   1861,   1323,    714,
     115,   -472,  -1028,  -1498,
   -1917,  -2277,  -2617,  -2854,
   -3076,  -3176,  -3231,  -3264,
   -3203,  -3162,  -2999,  -2778,
   -2431,  -1981,  -1498,  -1051,
    -762,   -573,   -588,   -709,
    -917,  -1146,  -1361,  -1593,
   -1796,  -2032,  -2209,  -2333,
   -2383,  -2380,  -2329,  -2227,
   -2111,  -2009,  -1895,  -1744,
   -1563,  -1275,   -948,   -505,
     -29,    447,    913,   1296,
    1614,   1787,   1903,   1887,
    1816,   1729,   1548,   1356,
    1144,    920,    742,    550,
     341,    168,    -38,   -171,
    -212,   -147,     47,    299,
     604,    914,   1224,   1494,
    1733,   1947,   2092,   2197,
    2254,   2264,   2284,   2310,
    2382,   2504,   2677,   2888,
    3068,   3227,   3329,   3369,
    3342,   3253,   3151,   3030,
    2936,   2958,   3053,   3228,
    3444,   3608,   3743,   3771,
    3737,   3634,   3513,   3380,
    3181,   2975,   2658,   2331,
    1988,   1693,   1537,   1473,
    1531,   1618,   1773,   1916,
    2010,   2023,   1888,   1589,
    1109,    474,   -284,  -1104,
   -1972,  -2761,  -3472,  -3979,
   -4285,  -4388,  -4265,  -4041,
   -3710,  -3410,  -3079,  -2784,
   -2469,  -2169,  -1907,  -1615,
   -1361,  -1007,   -645,   -221,
     179,    500,    692,    737,
     705,    566,    432,    221,
     -14,   -255,   -531,   -771,
    -961,  -1106,  -1147,  -1116,
   -1015,   -823,   -543,   -210,
     129,    449,    645,    807,
     829,    827,    768,    582,
     343,    -93,   -562,  -1077,
   -1513,  -1784,  -1945,  -1943,
   -1873,  -1754,  -1539,  -1282,
    -946,   -537,   -145,    267,
     622,    913,   1133,   1248,
    1275,   1305,   1339,   1478,
    1788,   2217,   2748,   3190,
    3532,   3655,   3599,   3387,
    3066,   2696,   2288,   1939,
    1604,   1429,   1374,   1472,
    1683,   1925,   2158,   2305,
    2411,   2383,   2327,   2260,
    2137,   2019,   1868,   1718,
    1568,   1436,   1338,   1253,
    1220,   1176,   1166,   1140,
    1095,   1042,    929,    833,
     685,    609,    506,    329,
      64,   -386,   -899,  -1531,
   -2184,  -2826,  -3432,  -3973,
   -4508,  -5004,  -5496,  -5910,
   -6281,  -6553,  -6618,  -6579,
   -6358,  -6068,  -5711,  -5271,
   -4785,  -4221,  -3638,  -2956,
   -2367,  -1789,  -1359,  -1156,
   -1041,  -1175,  -1397,  -1779,
   -2288,  -2813,  -3383,  -3932,
   -4396,  -4849,  -5227,  -5544,
   -5795,  -5855,  -5850,  -5691,
   -5492,  -5279,  -5054,  -4837,
   -4591,  -4325,  -4038,  -3755,
   -3428,  -3176,  -2832,  -2488,
   -2104,  -1684,  -1339,   -980,
    -734,   -459,   -263,    -64,
     149,    342,    590,    833,
    1168,   1506,   1866,   2122,
    2320,   2413,   2364,   2288,
    2047,   1784,   1434,   1072,
     754,    513,    416,    331,
     243,     51,   -265,   -716,
   -1256,  -1873,  -2447,  -2985,
   -3480,  -3855,  -4191,  -4414,
   -4630,  -4790,  -4885,  -4911,
   -4839,  -4656,  -4360,  -3989,
   -3545,  -3099,  -2649,  -2222,
   -1817,  -1569,  -1411,  -1445,
   -1575,  -1693,  -1865,  -1830,
   -1728,  -1490,  -1174,   -872,
    -514,   -189,     98,    315,
     381,    282,     64,   -273,
    -619,   -962,  -1199,  -1381,
   -1514,  -1556,  -1580,  -1525,
   -1444,  -1349,  -1209,  -1044,
    -855,   -594,   -325,     10,
     334,    669,   1017,   1296,
    1640,   1931,   2225,   2484,
    2682,   2814,   2796,   2657,
    2360,   1931,   1335,    676,
     -38,   -796,  -1495,  -2197,
   -2773,  -3198,  -3483,  -3553,
   -3491,  -3250,  -2879,  -2399,
   -1810,  -1164,   -476,    174,
     745,   1186,   1564,   1838,
    2051,   2164,   2109,   1925,
    1594,   1158,    583,    -60,
    -784,  -1566,  -2315,  -2952,
   -3425,  -3654,  -3656,  -3473,
   -3114,  -2666,  -2076,  -1442,
    -799,   -216,    206,    390,
     402,    253,     28,   -124,
    -335,   -415,   -482,   -529,
    -515,   -475,   -381,   -326,
    -243,   -263,   -214,   -158,
     -22,    252,    514,    890,
    1213,   1548,   1873,   2197,
    2511,   2696,   2827,   2824,
    2735,   2587,   2377,   2161,
    1941,   1688,   1458,   1178,
     882,    642,    331,     86,
    -149,   -283,   -237,    -71,
     302,    744,   1237,   1692,
    2079,   2402,   2636,   2781,
    2801,   2727,   2572,   2372,
    2129,   1872,   1564,   1246,
     904,    556,    247,    -23,
    -256,   -481,   -654,   -811,
    -868,   -838,   -700,   -447,
    -102,    318,    772,   1246,
    1672,   2077,   2306,   2391,
    2328,   2045,   1649,   1087,
     391,   -325,  -1074,  -1755,
   -2326,  -2776,  -3039,  -3236,
   -3283,  -3323,  -3290,  -3168,
   -3034,  -2757,  -2504,  -2136,
   -1776,  -1368,   -888,   -384,
     188,    773,   1415,   1989,
    2586,   3033,   3368,   3549,
    3541,   3466,   3251,   3015,
    2732,   2453,   2116,   1782,
    1441,   1132,    946,    820,
     841,    940,   1089,   1197,
    1232,   1140,    904,    533,
      40,   -482,  -1030,  -1506,
   -1939,  -2295,  -2521,  -2620,
   -2554,  -2375,  -2101,  -1804,
   -1541,  -1329,  -1176,  -1026,
    -828,   -582,   -269,    116,
     527,    983,   1366,   1641,
    1786,   1681,   1430,    990,
     493,     -2,   -530,  -1005,
   -1522,  -1973,  -2345,  -2577,
   -2582,  -2430,  -2129,  -1792,
   -1483,  -1168,   -875,   -554,
    -249,     27,    267,    405,
     503,    482,    449,    365,
     260,    241,    284,    573,
    1032,   1690,   2421,   3081,
    3653,   4016,   4225,   4275,
    4145,   3892,   3495,   2987,
    2454,   1883,   1398,    955,
     556,    241,    -29,   -214,
    -319,   -323,   -277,   -162,
     -56,     62,    216,    334,
     447,    532,    589,    662,
     739,    826,    912,    943,
     957,    866,    708,    467,
     207,    -47,   -297,   -436,
    -519,   -521,   -534,   -545,
    -606,   -716,   -839,   -928,
    -972,   -983,   -951,   -988,
   -1023,  -1162,  -1273,  -1432,
   -1614,  -1766,  -1905,  -1894,
   -1827,  -1541,  -1202,   -780,
    -351,    -28,    265,    410,
     525,    568,    555,    493,
     411,    306,    191,    145,
     130,    195,    309,    499,
     786,   1098,   1444,   1745,
    1956,   2134,   2250,   2342,
    2444,   2520,   2580,   2617,
    2600,   2550,   2474,   2309,
    2056,   1716,   1248,    745,
     212,   -319,   -722,  -1058,
   -1270,  -1344,  -1301,  -1170,
    -989,   -801,   -642,   -485,
    -393,   -279,   -249,   -234,
    -234,   -309,   -363,   -476,
    -542,   -607,   -692,   -805,
    -961,  -1147,  -1297,  -1456,
   -1558,  -1604,  -1660,  -1603,
   -1594,  -1482,  -1354,  -1245,
   -1081,   -973,   -832,   -672,
    -464,   -212,     90,    366,
     626,    789,    882,    963,
     950,    928,    835,    689,
     552,    381,    229,    137,
      74,     58,     36,     85,
     164,    326,    670,   1048,
    1533,   2011,   2415,   2725,
    2886,   2932,   2850,   2694,
    2519,   2348,   2212,   2094,
    1948,   1822,   1672,   1532,
    1397,   1240,   1075,    929,
     763,    607,    496,    387,
     417,    499,    655,    897,
    1151,   1413,   1659,   1885,
    2078,   2227,   2270,   2207,
    1955,   1599,   1113,    601,
     162,   -237,   -455,   -611,
    -631,   -528,   -375,   -206,
    -131,   -145,   -324,   -563,
    -835,  -1069,  -1156,  -1154,
   -1011,   -849,   -650,   -438,
    -249,      3,    201,    483,
     762,    973,   1181,   1297,
    1336,   1294,   1207,   1055,
     931,    763,    568,    386,
     169,     25,   -105,   -219,
    -330,   -424,   -526,   -661,
    -794,   -963,  -1140,  -1298,
   -1435,  -1470,  -1355,  -1143,
    -785,   -377,     43,    513,
     889,   1208,   1501,   1648,
    1724,   1727,   1627,   1585,
    1523,   1447,   1380,   1226,
     997,    660,    248,   -249,
    -765,  -1322,  -1887,  -2332,
   -2695,  -2788,  -2691,  -2399,
   -1910,  -1373,   -744,   -174,
     364,    768,   1035,   1160,
    1129,   1085,    956,    925,
     917,    961,   1042,   1067,
    1074,    929,    782,    547,
     317,    109,    -87,   -196,
    -330,   -403,   -553,   -689,
    -869,  -1056,  -1153,  -1283,
   -1259,  -1191,  -1052,   -843,
    -579,   -203,    204,    677,
    1129,   1530,   1784,   1958,
    2012,   1955,   1917,   1789,
    1701,   1637,   1584,   1568,
    1466,   1318,   1089,    816,
     512,    140,   -206,   -581,
    -985,  -1364,  -1714,  -1962,
   -2104,  -2121,  -2029,  -1857,
   -1585,  -1258,   -867,   -425,
      25,    426,    757,   1040,
    1246,   1469,   1646,   1754,
    1811,   1721,   1552,   1291,
    1025,    766,    553,    384,
     196,     48,   -134,   -283,
    -457,   -630,   -815,  -1071,
   -1331,  -1620,  -1851,  -2026,
   -2120,  -2128,  -2027,  -1811,
   -1526,  -1158,   -758,   -345,
      62,    421,    710,    941,
    1088,   1154,   1169,   1150,
    1147,   1139,   1082,    980,
     778,    502,    202,   -131,
    -436,   -696,   -908,  -1079,
   -1209,  -1255,  -1220,  -1117,
    -913,   -643,   -298,    103,
     454,    750,    933,    985,
     936,    831,    707,    562,
     382,    181,    -42,   -263,
    -424,   -591,   -716,   -860,
   -1058,  -1260,  -1514,  -1727,
   -1891,  -2009,  -2088,  -2129,
   -2096,  -1981,  -1710,  -1311,
    -781,   -194,    367,    897,
    1302,   1663,   1910,   2007,
    2005,   1837,   1563,   1239,
     888,    517,    175,   -153,
    -452,   -698,   -873,   -954,
    -959,   -906,   -811,   -671,
    -530,   -341,   -181,    -10,
     190,    369,    572,    774,
     996,   1151,   1256,   1288,
    1260,   1236,   1199,   1164,
    1113,   1013,    831,    593,
     296,     19,   -211,   -396,
    -450,   -410,   -252,     23,
     327,    653,    950,   1196,
    1383,   1550,   1661,   1751,
    1841,   1851,   1910,   1925,
    1980,   2050,   2109,   2219,
    2300,   2429,   2470,   2511,
    2437,   2236,   1967,   1548,
    1159,    772,    467,    208,
     -16,   -184,   -373,   -542,
    -729,   -901,  -1095,  -1349,
   -1627,  -1976,  -2304,  -2639,
   -2913,  -3062,  -3161,  -3107,
   -3007,  -2826,  -2554,  -2230,
   -1819,  -1402,   -966,   -540,
    -186,     95,    322,    427,
     475,    401,    218,      4,
    -288,   -542,   -790,   -991,
   -1135,  -1241,  -1300,  -1341,
   -1383,  -1458,  -1578,  -1736,
   -1896,  -2058,  -2150,  -2199,
   -2174,  -2083,  -1925,  -1723,
   -1554,  -1371,  -1283,  -1253,
   -1340,  -1557,  -1862,  -2272,
   -2707,  -3141,  -3433,  -3584,
   -3527,  -3339,  -3075,  -2734,
   -2401,  -2000,  -1575,  -1056,
    -492,    111,    718,   1332,
    1997,   2637,   3272,   3756,
    4103,   4235,   4180,   3958,
    3590,   3149,   2558,   1935,
    1216,    523,    -74,   -629,
   -1041,  -1412,  -1741,  -1976,
   -2156,  -2221,  -2177,  -2047,
   -1855,  -1621,  -1315,   -983,
    -607,   -262,    -35,    116,
     180,    209,    316,    430,
     586,    699,    695,    661,
     536,    465,    366,    253,
     163,     41,    -30,    -77,
     -60,     -4,     70,    119,
     136,    122,    120,     85,
      10,   -116,   -302,   -500,
    -721,   -913,  -1099,  -1222,
   -1352,  -1442,  -1562,  -1663,
   -1768,  -1930,  -2017,  -2148,
   -2150,  -2078,  -1928,  -1707,
   -1520,  -1386,  -1363,  -1454,
   -1640,  -1906,  -2254,  -2608,
   -3035,  -3370,  -3633,  -3816,
   -3852,  -3819,  -3700,  -3548,
   -3340,  -3127,  -2894,  -2699,
   -2544,  -2402,  -2226,  -1951,
   -1557,   -991,   -314,    447,
    1206,   1875,   2455,   2895,
    3191,   3350,   3314,   3144,
    2832,   2417,   1946,   1403,
     847,    328,   -127,   -478,
    -709,   -866,   -903,   -873,
    -743,   -485,    -92,    397,
     939,   1474,   1939,   2341,
    2625,   2907,   3106,   3305,
    3458,   3524,   3550,   3474,
    3368,   3185,   2994,   2719,
    2431,   2115,   1773,   1472,
    1237,   1075,   1009,   1110,
    1296,   1587,   1868,   2141,
    2316,   2385,   2339,   2180,
    1987,   1721,   1494,   1231,
     978,    766,    580,    433,
     321,    196,    102,    -40,
    -208,   -360,   -588,   -741,
    -967,  -1143,  -1253,  -1299,
   -1198,  -1036,   -823,   -612,
    -403,   -267,   -122,    -59,
      22,     60,     32,     23,
     -29,    -19,     -3,     89,
     178,    322,    468,    594,
     765,    873,    990,   1077,
    1131,   1190,   1265,   1326,
    1413,   1478,   1567,   1667,
    1742,   1812,   1847,   1856,
    1739,   1652,   1490,   1336,
    1264,   1158,   1168,   1194,
    1272,   1376,   1475,   1616,
    1740,   1899,   2025,   2136,
    2245,   2248,   2260,   2218,
    2223,   2271,   2349,   2522,
    2642,   2798,   2840,   2831,
    2685,   2471,   2218,   1866,
    1612,   1301,   1093,    916,
     847,    852,    947,   1131,
    1308,   1547,   1654,   1761,
    1715,   1592,   1421,   1239,
    1136,   1070,   1148,   1279,
    1489,   1645,   1706,   1685,
    1605,   1458,   1304,   1125,
     930,    759,    573,    432,
     302,    256,    219,    243,
     289,    353,    458,    524,
     567,    551,    521,    465,
     407,    336,    276,    218,
     215,    253,    364,    563,
     786,   1041,   1284,   1504,
    1637,   1737,   1732,   1648,
    1493,   1296,   1094,    921,
     839,    794,    860,    954,
    1142,   1358,   1607,   1911,
    2149,   2406,   2611,   2763,
    2929,   3031,   3057,   3034,
    2892,   2754,   2590,   2455,
    2366,   2211,   2100,   1884,
    1661,   1421,   1167,    966,
     731,    594,    440,    386,
     415,    439,    536,    498,
     437,    279,     38,   -195,
    -437,   -615,   -787,   -889,
    -985,   -994,   -943,   -793,
    -540,   -274,     17,    207,
     372,    443,    490,    513,
     527,    561,    560,    583,
     538,    461,    310,    104,
    -130,   -369,   -581,   -731,
    -844,   -926,   -975,  -1021,
    -987,   -958,   -794,   -610,
    -430,   -237,   -221,   -206,
    -338,   -489,   -593,   -714,
    -670,   -618,   -456,   -282,
    -145,     38,    116,    228,
     275,    309,    319,    301,
     327,    311,    391,    445,
     541,    617,    620,    599,
     453,    265,    -41,   -397,
    -802,  -1209,  -1538,  -1792,
   -1924,  -1982,  -1965,  -1915,
   -1836,  -1695,  -1506,  -1285,
    -986,   -673,   -366,    -48,
     228,    437,    591,    640,
     576,    484,    286,    113,
     -55,   -222,   -353,   -519,
    -657,   -837,  -1028,  -1263,
   -1511,  -1799,  -2049,  -2250,
   -2387,  -2380,  -2309,  -2098,
   -1875,  -1580,  -1284,  -1014,
    -738,   -542,   -348,   -225,
    -109,     15,    171,    328,
     512,    714,    919,   1141,
    1305,   1435,   1481,   1465,
    1357,   1151,    859,    477,
      64,   -345,   -735,   -973,
   -1086,  -1090,   -904,   -730,
    -514,   -341,   -211,    -65,
      46,    217,    326,    404,
     387,    260,     79,   -164,
    -428,   -682,   -895,  -1082,
   -1169,  -1143,  -1022,   -821,
    -606,   -430,   -322,   -285,
    -300,   -370,   -455,   -539,
    -628,   -683,   -676,   -578,
    -456,   -300,   -165,    -57,
      57,    143,    260,    331,
     395,    417,    366,    316,
     241,    191,    108,     -8,
    -156,   -340,   -543,   -731,
    -865,   -965,   -998,  -1008,
    -979,   -903,   -837,   -756,
    -707,   -718,   -739,   -816,
    -888,   -945,   -989,   -949,
    -894,   -747,   -549,   -264,
      90,    473,    907,   1304,
    1670,   1922,   2104,   2169,
    2213,   2244,   2216,   2249,
    2248,   2232,   2177,   2020,
    1759,   1456,   1028,    532,
      -3,   -594,  -1148,  -1656,
   -1985,  -2152,  -2088,  -1880,
   -1588,  -1218,   -869,   -534,
    -314,   -180,   -118,   -121,
    -169,   -237,   -324,   -412,
    -505,   -631,   -727,   -757,
    -705,   -603,   -440,   -280,
    -165,    -87,   -105,   -152,
    -209,   -257,   -298,   -344,
    -343,   -340,   -316,   -300,
    -294,   -312,   -346,   -334,
    -329,   -232,   -107,     57,
     223,    358,    537,    685,
     868,    995,   1124,   1171,
    1085,    925,    621,    301,
     -86,   -506,   -934,  -1350,
   -1691,  -1987,  -2144,  -2179,
   -2098,  -1881,  -1599,  -1278,
    -903,   -558,   -264,    -19,
     168,    339,    438,    541,
     606,    657,    726,    723,
     722,    660,    570,    420,
     167,    -98,   -370,   -621,
    -818,   -958,  -1033,  -1041,
   -1006,   -870,   -703,   -460,
    -183,     42,    259,    365,
     452,    467,    405,    356,
     289,    228,    170,    105,
      45,      0,    -53,    -92,
     -95,    -41,     44,    115,
     121,     51,   -113,   -358,
    -680,  -1014,  -1338,  -1690,
   -1976,  -2270,  -2492,  -2626,
   -2715,  -2674,  -2570,  -2345,
   -2021,  -1647,  -1236,   -832,
    -446,   -165,     45,    194,
     285,    365,    378,    365,
     313,    219,     58,   -163,
    -426,   -739,  -1031,  -1318,
   -1564,  -1756,  -1896,  -1990,
   -2038,  -2046,  -1970,  -1907,
   -1854,  -1790,  -1800,  -1780,
   -1822,  -1786,  -1693,  -1547,
   -1365,  -1246,  -1122,  -1112,
   -1121,  -1238,  -1379,  -1545,
   -1712,  -1775,  -1791,  -1633,
   -1413,  -1132,   -876,   -686,
    -525,   -436,   -385,   -360,
    -340,   -355,   -364,   -362,
    -316,   -174,     33,    300,
     608,    954,   1334,   1702,
    2023,   2248,   2316,   2195,
    1927,   1540,   1127,    744,
     372,     42,   -295,   -579,
    -857,  -1054,  -1161,  -1231,
   -1197,  -1159,  -1058,   -953,
    -789,   -580,   -400,   -167,
      30,    253,    484,    692,
     908,   1090,   1230,   1327,
    1377,   1402,   1389,   1322,
    1210,   1050,    892,    699,
     486,    264,     19,   -232,
    -528,   -805,  -1067,  -1272,
   -1456,  -1637,  -1761,  -1901,
   -1997,  -2076,  -2147,  -2118,
   -2050,  -1905,  -1658,  -1419,
   -1106,   -819,   -584,   -334,
    -170,     28,    196,    363,
     590,    829,   1116,   1408,
    1677,   1908,   2087,   2154,
    2162,   2060,   1875,   1631,
    1285,    923,    540,    155,
    -185,   -516,   -799,  -1008,
   -1187,  -1316,  -1411,  -1412,
   -1376,  -1249,  -1046,   -760,
    -352,     73,    563,   1026,
    1473,   1815,   2069,   2176,
    2199,   2158,   2003,   1858,
    1627,   1438,   1151,    822,
     450,     20,   -376,   -797,
   -1126,  -1374,  -1515,  -1592,
   -1559,  -1445,  -1220,   -868,
    -430,     91,    670,   1215,
    1688,   2075,   2311,   2504,
    2549,   2525,   2412,   2202,
    1975,   1708,   1446,   1154,
     876,    558,    229,    -54,
    -300,   -476,   -579,   -727,
    -877,  -1057,  -1291,  -1494,
   -1659,  -1768,  -1820,  -1780,
   -1692,  -1464,  -1203,   -851,
    -519,   -264,     24,    235,
     494,    713,    938,   1084,
    1143,   1141,   1078,   1037,
    1006,   1014,    961,    907,
     772,    588,    445,    289,
     160,     75,    -43,   -131,
    -210,   -312,   -379,   -535,
    -631,   -760,   -843,   -858,
    -888,   -839,   -878,   -899,
    -984,  -1068,  -1095,  -1083,
    -945,   -757,   -434,    -92,
     297,    675,   1008,   1321,
    1513,   1693,   1772,   1840,
    1820,   1705,   1516,   1209,
     915,    570,    295,     30,
    -153,   -292,   -421,   -485,
    -558,   -531,   -506,   -408,
    -267,    -85,    126,    298,
     461,    502,    486,    418,
     297,    195,     73,    -99,
    -294,   -539,   -781,  -1003,
   -1181,  -1266,  -1305,  -1254,
   -1139,   -972,   -760,   -493,
    -186,    134,    504,    842,
    1152,   1460,   1641,   1734,
    1693,   1462,   1128,    709,
     273,   -195,   -605,   -990,
   -1342,  -1608,  -1842,  -1959,
   -2019,  -1958,  -1768,  -1515,
   -1183,   -816,   -466,   -134,
     134,    308,    426,    424,
     363,    276,    199,    173,
     171,    222,    275,    358,
     443,    507,    583,    624,
     684,    729,    775,    815,
     842,    910,    964,   1038,
    1121,   1214,   1268,   1289,
    1264,   1150,    991,    745,
     478,    187,   -101,   -383,
    -643,   -879,  -1094,  -1262,
   -1392,  -1474,  -1538,  -1526,
   -1504,  -1419,  -1326,  -1213,
   -1057,   -928,   -730,   -578,
    -389,   -202,    -40,    193,
     423,    680,    960,   1173,
    1293,   1342,   1242,   1066,
     857,    589,    351,    106,
    -154,   -359,   -533,   -640,
    -649,   -603,   -480,   -332,
    -149,     53,    291,    547,
     784,   1018,   1190,   1344,
    1441,   1548,   1618,   1626,
    1624,   1476,   1323,   1108,
     850,    616,    301,      3,
    -307,   -613,   -821,   -966,
   -1045,  -1006,   -940,   -789,
    -580,   -349,    -33,    214,
     469,    620,    682,    695,
     619,    558,    413,    267,
      46,   -197,   -428,   -660,
    -830,   -978,  -1036,  -1089,
   -1024,   -925,   -793,   -543,
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     320,    194,     61,    -54,
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      -3,     89,    213,    348,
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     994,    975,    981,    931,
     923,    944,    961,   1030,
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    1339,   1435,   1509,   1588,
    1687,   1734,   1755,   1692,
    1525,   1303,   1041,    708,
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    1703,   1840,   1830,   1706,
    1573,   1364,   1169,    967,
     761,    594,    402,    279,
     154,     78,     55,     62,
     192,    362,    633,    978,
    1329,   1701,   2034,   2234,
    2325,   2327,   2198,   2018,
    1770,   1492,   1216,    919,
     651,    370,    135,    -71,
    -274,   -420,   -555,   -635,
    -706,   -758,   -773,   -771,
    -717,   -663,   -591,   -475,
    -350,   -201,    -13,    104,
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    -878,  -1027,  -1181,  -1305,
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   -1732,  -1723,  -1649,  -1500,
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    -923,   -941,   -887,   -904,
    -830,   -752,   -682,   -561,
    -478,   -345,   -198,    -41,
     128,    289,    406,    507,
     623,    755,    954,   1165,
    1389,   1613,   1765,   1881,
    1953,   1936,   1903,   1803,
    1627,   1460,   1243,   1076,
     943,    807,    729,    651,
     577,    496,    439,    389,
     357,    321,    262,    210,
     142,    103,     77,    105,
     198,    356,    540,    704,
     874,    945,    931,    769,
     497,    206,   -162,   -504,
    -813,  -1070,  -1234,  -1338,
   -1384,  -1414,  -1409,  -1408,
   -1435,  -1422,  -1418,  -1399,
   -1351,  -1285,  -1157,   -988,
    -742,   -517,   -291,    -87,
      13,     93,     72,     -5,
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    -413,   -443,   -464,   -474,
    -447,   -451,   -422,   -401,
    -372,   -323,   -278,   -230,
    -197,    -98,     -2,    175,
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     980,    698,    369,    125,
     -94,   -281,   -402,   -544,
    -585,   -625,   -621,   -581,
    -553,   -509,   -554,   -603,
    -689,   -765,   -822,   -832,
    -792,   -716,   -603,   -476,
    -343,   -248,   -115,    -85,
     -31,      0,    -10,     33,
     -17,    -44,   -103,   -151,
    -190,   -220,   -268,   -348,
    -454,   -621,   -778,   -947,
   -1060,  -1150,  -1151,  -1141,
   -1110,  -1013,   -926,   -768,
    -624,   -477,   -379,   -313,
    -241,   -186,   -101,    -21,
      41,    115,    210,    319,
     471,    623,    795,    898,
     915,    875,    736,    603,
     418,    258,    103,    -36,
     -99,   -157,   -139,   -120,
     -80,     -5,     73,    196,
     348,    488,    614,    697,
     733,    745,    697,    642,
     527,    389,    213,     26,
    -166,   -350,   -451,   -574,
    -619,   -647,   -655,   -662,
    -679,   -725,   -787,   -822,
    -910,   -942,   -979,   -981,
    -951,   -849,   -737,   -548,
    -272,    -48,    232,    402,
     546,    610,    607,    611,
     550,    512,    459,    388,
     345,    293,    194,     92,
     -64,   -199,   -334,   -450,
    -523,   -619,   -706,   -813,
    -901,   -945,   -916,   -821,
    -674,   -524,   -379,   -293,
    -246,   -246,   -296,   -382,
    -495,   -589,   -662,   -649,
    -659,   -592,   -537,   -485,
    -387,   -305,   -193,   -110,
      -6,     26,    102,    164,
     257,    392,    501,    658,
     753,    851,    936,    971,
     980,    917,    790,    675,
     490,    370,    251,    168,
     138,    106,    213,    277,
     444,    561,    649,    716,
     665,    599,    475,    349,
     206,    103,    -44,   -136,
    -225,   -286,   -324,   -370,
    -396,   -465,   -476,   -531,
    -555,   -590,   -636,   -643,
    -618,   -516,   -310,    -28,
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    1902,   1744,   1660,   1468,
    1365,   1213,   1083,    941,
     754,    581,    341,    163,
      -6,   -145,   -224,   -270,
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    -962,   -948,   -862,   -785,
    -689,   -562,   -463,   -314,
    -204,    -70,     25,     75,
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     509,    630,    727,    803,
     870,    866,    824,    773,
     629,    500,    352,    176,
      23,   -162,   -322,   -465,
    -574,   -654,   -704,   -790,
    -875,   -936,  -1043,  -1084,
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   -1028,   -976,   -881,   -790,
    -687,   -539,   -441,   -327,
    -264,   -214,   -157,    -59,
     -34,     38,     48,     28,
      77,     66,    154,    163,
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     333,    389,    373,    356,
     313,    269,    219,    203,
     151,    102,     19,    -83,
    -124,   -195,   -141,   -149,
    -115,    -58,    -56,     37,
      91,    159,    220,    269,
     298,    323,    305,    274,
     196,     61,    -30,   -163,
    -197,   -206,   -194,   -125,
     -58,     57,    161,    276,
     352,    395,    392,    337,
     280,    234,    190,    139,
      88,     -6,   -122,   -276,
    -450,   -639,   -843,  -1061,
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   -1781,  -1812,  -1769,  -1679,
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    -603,   -412,   -314,   -266,
    -289,   -396,   -516,   -674,
    -839,  -1000,  -1154,  -1295,
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   -1717,  -1704,  -1662,  -1628,
   -1564,  -1463,  -1375,  -1240,
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   -1168,  -1302,  -1364,  -1447,
   -1435,  -1337,  -1185,   -932,
    -661,   -372,    -77,    209,
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    1256,   1341,   1451,   1486,
    1536,   1555,   1531,   1498,
    1422,   1272,   1105,    899,
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     228,    234,    307,    392,
     455,    581,    678,    756,
     834,    797,    764,    655,
     553,    490,    415,    404,
     411,    462,    521,    597,
     698,    829,    951,   1080,
    1211,   1296,   1401,   1419,
    1395,   1308,   1127,    926,
     691,    475,    227,    -22,
    -326,   -644,   -956,  -1257,
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   -2199,  -2230,  -2230,  -2127,
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    -634,   -448,   -273,    -84,
      87,    256,    419,    514,
     606,    621,    601,    590,
     544,    489,    430,    314,
     183,     44,   -126,   -209,
    -327,   -367,   -372,   -372,
    -284,   -227,   -142,    -85,
     -19,     41,     83,    143,
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     293,    275,    234,    225,
     190,    217,    204,    221,
     199,    154,    167,    154,
     197,    212,    279,    292,
     302,    259,    117,    -16,
    -248,   -481,   -711,   -957,
   -1148,  -1294,  -1399,  -1416,
   -1380,  -1254,  -1128,   -933,
    -710,   -533,   -291,   -150,
      20,    174,    278,    382,
     458,    535,    568,    644,
     678,    738,    812,    817,
     830,    748,    660,    573,
     448,    378,    317,    297,
     292,    294,    322,    344,
     376,    376,    341,    289,
     163,    -11,   -225,   -468,
    -686,   -919,  -1073,  -1217,
   -1332,  -1362,  -1411,  -1373,
   -1312,  -1258,  -1169,  -1126,
   -1076,   -982,   -909,   -756,
    -621,   -478,   -287,   -148,
      55,    164,    257,    315,
     237,    138,    -37,   -236,
    -429,   -598,   -723,   -794,
    -810,   -799,   -770,   -718,
    -673,   -633,   -595,   -556,
    -490,   -394,   -281,   -152,
      20,    188,    372,    567,
     731,    871,    957,    956,
     900,    807,    678,    546,
     424,    305,    194,     61,
    -112,   -283,   -440,   -566,
    -680,   -768,   -855,   -890,
    -904,   -878,   -795,   -727,
    -600,   -508,   -389,   -285,
    -147,      2,    100,    231,
     269,    273,    222,    132,
      53,    -22,    -64,    -66,
     -92,    -61,    -28,    -13,
      66,     98,    172,    223,
     247,    275,    274,    197,
     142,     29,    -91,   -157,
    -322,   -410,   -561,   -688,
    -796,   -889,   -905,   -892,
    -813,   -717,   -582,   -451,
    -244,   -130,     24,    175,
     280,    476,    601,    777,
     924,   1049,   1170,   1233,
    1287,   1273,   1214,   1140,
    1004,    865,    718,    546,
     397,    256,    152,     68,
       4,    -21,    -66,   -117,
    -141,   -209,   -256,   -268,
    -252,   -211,   -129,    -79,
     -40,      2,    -59,    -29,
    -110,   -192,   -257,   -435,
    -550,   -726,   -881,   -998,
   -1032,  -1014,   -887,   -701,
    -513,   -256,    -59,    150,
     351,    517,    655,    760,
     807,    845,    872,    857,
     864,    835,    763,    678,
     556,    432,    301,    152,
     -23,   -244,   -466,   -701,
    -893,  -1045,  -1112,  -1142,
   -1128,  -1039,   -968,   -810,
    -673,   -531,   -382,   -303,
    -253,   -194,   -143,    -90,
       2,     55,    145,    197,
     241,    296,    321,    351,
     366,    371,    351,    336,
     321,    331,    378,    437,
     470,    497,    459,    401,
     305,    163,     17,   -167,
    -286,   -425,   -467,   -472,
    -460,   -382,   -336,   -226,
    -112,     38,    202,    384,
     537,    674,    773,    824,
     884,    879,    920,    911,
     913,    915,    882,    870,
     829,    792,    713,    673,
     611,    543,    469,    338,
     234,     82,    -64,   -198,
    -361,   -485,   -596,   -684,
    -725,   -759,   -791,   -846,
    -923,   -995,  -1051,  -1097,
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    -953,   -861,   -818,   -768,
    -793,   -836,   -877,   -962,
    -969,  -1002,   -990,   -971,
    -951,   -905,   -856,   -768,
    -710,   -658,   -629,   -609,
    -570,   -484,   -358,   -207,
      -7,    178,    368,    554,
     674,    791,    857,    890,
     908,    860,    815,    709,
     603,    469,    311,    201,
      81,     21,    -19,    -72,
     -59,    -41,    -37,     59,
     143,    232,    357,    414,
     444,    451,    408,    344,
     295,    250,    219,    234,
     273,    318,    417,    491,
     562,    589,    586,    568,
     484,    450,    360,    313,
     276,    227,    215,    148,
     101,     44,    -24,    -98,
    -126,   -185,   -244,   -278,
    -335,   -362,   -384,   -396,
    -395,   -371,   -374,   -367,
    -357,   -335,   -302,   -255,
    -206,   -210,   -191,   -222,
    -245,   -257,   -267,   -270,
    -306,   -311,   -349,   -359,
    -367,   -373,   -373,   -389,
    -382,   -398,   -388,   -358,
    -265,   -180,    -76,     27,
      86,    146,    154,    159,
     128,    124,     70,     47,
      33,     24,     70,     79,
     140,    168,    221,    194,
     148,     63,    -69,   -173,
    -329,   -414,   -496,   -507,
    -468,   -414,   -339,   -238,
    -170,    -47,     86,    180,
     336,    358,    415,    444,
     468,    539,    588,    681,
     750,    825,    859,    895,
     869,    827,    776,    653,
     563,    456,    341,    237,
      92,    -61,   -224,   -432,
    -609,   -747,   -826,   -829,
    -793,   -709,   -599,   -455,
    -328,   -201,    -66,     31,
     148,    219,    303,    363,
     405,    464,    469,    529,
     568,    587,    586,    580,
     541,    495,    469,    422,
     397,    350,    285,    148,
      30,   -156,   -351,   -528,
    -766,   -964,  -1218,  -1452,
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   -1839,  -1728,  -1631,  -1548,
   -1460,  -1461,  -1422,  -1400,
   -1371,  -1292,  -1225,  -1104,
    -971,   -853,   -721,   -615,
    -484,   -393,   -301,   -227,
    -208,   -186,   -215,   -249,
    -332,   -378,   -487,   -583,
    -680,   -793,   -842,   -947,
    -983,  -1007,   -990,   -962,
    -871,   -802,   -726,   -633,
    -593,   -513,   -456,   -373,
    -286,   -181,    -74,     87,
     174,    283,    340,    349,
     384,    309,    322,    260,
     220,    166,     48,    -37,
    -154,   -210,   -212,   -223,
    -163,   -100,    -75,     -1,
      26,    115,    140,    179,
     209,    214,    246,    209,
     196,    117,     40,    -72,
    -205,   -361,   -521,   -679,
    -840,   -986,  -1092,  -1152,
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    -845,   -761,   -682,   -634,
    -601,   -598,   -597,   -614,
    -605,   -590,   -572,   -540,
    -513,   -515,   -486,   -525,
    -520,   -571,   -674,   -757,
    -924,  -1004,  -1132,  -1215,
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    -930,   -882,   -793,   -752,
    -702,   -661,   -647,   -614,
    -594,   -585,   -590,   -610,
    -666,   -701,   -758,   -747,
    -727,   -672,   -572,   -498,
    -346,   -215,    -89,     43,
     150,    232,    317,    356,
     371,    347,    256,    183,
      55,    -54,   -118,   -191,
    -208,   -208,   -201,   -165,
    -194,   -203,   -219,   -328,
    -407,   -579,   -747,   -875,
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    -684,   -615,   -566,   -562,
    -545,   -542,   -611,   -612,
    -664,   -687,   -731,   -770,
    -789,   -814,   -834,   -871,
    -887,   -940,   -925,   -939,
    -916,   -859,   -827,   -745,
    -692,   -616,   -581,   -561,
    -587,   -637,   -655,   -693,
    -681,   -659,   -614,   -577,
    -521,   -478,   -417,   -319,
    -235,   -146,   -108,    -44,
       1,     66,    144,    237,
     366,    482,    595,    695,
     814,    876,    926,    888,
     819,    715,    554,    413,
     230,     79,    -90,   -258,
    -389,   -458,   -494,   -490,
    -439,   -365,   -231,    -59,
      82,    244,    402,    490,
     604,    639,    702,    729,
     706,    672,    595,    530,
     413,    304,    166,     47,
     -85,   -195,   -328,   -451,
    -558,   -677,   -770,   -880,
    -947,  -1005,  -1021,  -1047,
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    -849,   -746,   -681,   -588,
    -540,   -449,   -401,   -314,
    -260,   -212,   -156,   -114,
     -37,    -15,     53,     55,
      40,      2,    -97,   -176,
    -242,   -345,   -387,   -434,
    -470,   -434,   -420,   -358,
    -301,   -253,   -234,   -211,
    -205,   -157,   -138,   -108,
     -66,    -27,     68,    128,
     266,    346,    437,    486,
     464,    421,    345,    242,
     131,     67,    -22,    -57,
     -83,   -104,   -129,   -118,
    -151,   -182,   -229,   -333,
    -429,   -528,   -613,   -684,
    -660,   -664,   -575,   -507,
    -396,   -237,   -158,    -12,
      64,    157,    243,    303,
     374,    453,    509,    544,
     572,    609,    673,    762,
     867,    976,   1086,   1162,
    1193,   1181,   1166,   1104,
    1038,    935,    893,    830,
     761,    721,    620,    598,
     567,    583,    623,    711,
     788,    849,    856,    825,
     775,    695,    677,    641,
     738,    792,    906,   1008,
    1060,   1149,   1130,   1136,
    1098,   1058,   1017,    978,
     914,    912,    926,    964,
    1051,   1087,   1163,   1179,
    1193,   1147,   1083,   1008,
     883,    801,    666,    581,
     486,    348,    207,     28,
    -149,   -354,   -565,   -800,
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      53,     42,     37,     34,
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      -9,    -22,    -28,    -32,
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      98,     82,     64,     38,
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      36,     32,     32,     24,
      25,     28,     35,     36,
      32,     40,     46,     72,
      95,    117,    122,    111,
      88,     57,     25,     -5,
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     -92,    -62,    -25,     13,
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     -30,    -18,     -1,     21,
      48,     56,     58,     45,
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      -7,     34,     69,     84,
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      87,     65,     43,     29,
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     -43,    -45,    -53,    -61,
     -71,    -73,    -77,    -61,
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      31,     22,     26,     35,
      48,     53,     48,     51,
      51,     58,     56,     48,
      39,     35,     37,     31,
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     -15,    -19,    -28,    -30,
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       4,     20,     47,     67,
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      36,     32,     35,     44,
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     -26,    -42,    -44,    -49,
     -51,    -58,    -59,    -52,
     -45,    -30,    -16,      1,
      14,     23,     31,     42,
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      98,     86,     64,     40,
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      89,     79,     66,     42,
      24,      6,      1,      7,
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     -12,      3,     14,     17,
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     -31,    -30,    -28,    -19,
      -7,      4,     12,     16,
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      92,     95,     87,     74,
      56,     30,      1,    -34,
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     -47,    -35,    -31,    -17,
      -5,     11,     28,     30,
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      22,      7,      1,      7,
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      79,     75,     64,     55,
      38,     14,    -15,    -41,
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      23,     36,     42,     36,
      27,     14,      6,      3,
      -3,     -4,     -2,      0,
       6,     11,     18,     19,
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      -5,      5,     11,      3,
      -5,    -24,    -36,    -46,
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      -6,     11,     22,     28,
      28,     18,     22,     24,
      28,     33,     38,     47,
      43,     39,     38,     35,
      37,     30,     22,     10,
       1,      1,     11,     28,
      38,     44,     38,     27,
      11,    -10,    -34,    -57,
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     -53,    -30,     -2,     18,
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      77,     71,     65,     63,
      57,     53,     45,     30,
       7,    -18,    -35,    -44,
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      -3,      4,      8,      5,
      -3,    -22,    -47,    -68,
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     -57,    -29,      0,     23,
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     -20,    -23,    -12,      1,
      25,     44,     58,     66,
      59,     46,     28,      4,
     -11,    -17,    -10,      2,
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      37,     24,     10,     -6,
     -17,    -29,    -40,    -42,
     -35,    -29,    -22,    -15,
      -3,     11,     21,     32,
      37,     44,     54,     56,
      63,     68,     74,     76,
      64,     54,     36,     11,
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     -65,    -66,    -66,    -69,
     -75,    -85,    -97,   -102,
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     -40,    -22,     -1,     14,
      33,     37,     41,     50,
      52,     54,     48,     46,
      45,     43,     40,     34,
      25,     19,     15,      5,
       1,     -5,     -4,     -3,
      -5,      1,      6,     11,
      11,      5,     -6,    -22,
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     -76,    -77,    -71,    -55,
     -29,      0,     22,     35,
      43,     37,     32,     26,
      21,     24,     20,     23,
      21,     29,     37,     37,
      33,     24,     18,     12,
      16,     25,     29,     24,
      15,      2,     -7,    -19,
     -34,    -48,    -68,    -83,
     -92,    -86,    -63,    -30,
      -1,     15,     27,     40,
      50,     50,     44,     34,
      24,     20,     24,     31,
      37,     37,     30,     17,
      -5,    -21,    -33,    -48,
     -61,    -75,    -79,    -73,
     -53,    -26,     -5,      5,
       3,     -5,    -15,    -19,
     -17,    -17,    -13,     -4,
       7,     21,     31,     36,
      34,     22,     15,     13,
      13,     13,     10,     11,
       8,     10,     10,      9,
       5,     -6,    -23,    -41,
     -48,    -48,    -45,    -42,
     -35,    -28,    -27,    -27,
     -29,    -22,    -22,    -20,
     -18,    -20,    -10,     -1,
      10,     18,     24,     31,
      32,     26,     12,     -1,
     -17,    -26,    -31,    -31,
     -25,    -11,      7,     21,
      33,     42,     50,     53,
      55,     58,     59,     54,
      50,     46,     37,     27,
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     -62,    -61,    -58,    -54,
     -52,    -51,    -44,    -39,
     -38,    -36,    -31,    -26,
     -24,    -22,    -14,     -5,
       4,     12,     13,     14,
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      19,     26,     33,     31,
      30,     17,      8,     -5,
     -18,    -29,    -34,    -28,
     -21,    -16,    -16,    -12,
     -13,    -11,    -12,     -9,
     -10,    -12,     -8,     -5,
       5,     12,     20,     22,
      20,     15,      5,      0,
      -8,    -10,    -13,    -13,
      -7,      0,      2,      3,
       7,     12,     16,     25,
      37,     44,     43,     34,
      25,     15,      6,      0,
      -7,    -14,    -22,    -37,
     -52,    -64,    -67,    -63,
     -55,    -42,    -29,    -14,
      -2,      7,     13,     14,
      22,     34,     44,     48,
      53,     59,     58,     56,
      53,     49,     44,     36,
      23,      7,    -10,    -25,
     -33,    -41,    -43,    -49,
     -55,    -55,    -54,    -45,
     -42,    -32,    -17,     -4,
       7,     17,     27,     31,
      30,     24,     21,     13,
       6,      0,     -5,     -6,
      -6,     -3,      0,      7,
      15,     18,     14,     12,
      14,     18,     26,     36,
      45,     45,     40,     31,
      16,      2,     -4,     -8,
     -15,    -18,    -16,    -12,
      -8,    -10,    -12,    -15,
     -17,    -19,    -23,    -28,
     -35,    -41,    -49,    -46,
     -35,    -19,     -3,      8,
      20,     24,     27,     34,
      41,     41,     38,     35,
      37,     41,     45,     52,
      57,     59,     56,     45,
      33,     22,     12,      1,
     -11,    -18,    -23,    -25,
     -27,    -28,    -31,    -38,
     -38,    -33,    -24,    -13,
      -3,      2,      5,      8,
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       4,     -4,    -16,    -22,
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     -37,    -44,    -44,    -47,
     -48,    -46,    -34,    -18,
      -2,     13,     21,     23,
      18,     16,     12,      5,
       0,      0,      0,      0,
       0,      4,     12,     23,
      33,     34,     35,     31,
      25,     13,      3,      0,
       0,      0,      0,      4,
       3,      1,     -3,     -8,
     -10,    -13,    -10,    -11,
     -11,     -6,     -3,     -1,
       3,     10,     15,     17,
      13,      6,     -2,    -10,
      -9,     -9,     -6,      0,
       2,      2,     -1,     -3,
      -4,     -8,    -10,    -11,
     -11,    -10,     -5,      2,
       7,      9,     12,     15,
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     -19,    -29,    -39,    -48,
     -46,    -40,    -35,    -37,
     -36,    -31,    -30,    -27,
     -26,    -21,    -17,     -9,
       0,     10,     17,     22,
      24,     23,     24,     24,
      25,     22,     26,     29,
      29,     35,     35,     35,
      30,     24,     16,      7,
       0,     -7,    -11,    -19,
     -25,    -26,    -24,    -19,
     -11,     -3,      0,      3,
       8,     11,     14,     19,
      22,     28,     31,     33,
      32,     28,     23,     16,
       7,      1,      4,      8,
       9,      5,      4,      2,
      -3,    -11,    -18,    -26,
     -33,    -38,    -40,    -37,
     -28,    -12,      1,     13,
      23,     28,     27,     19,
       9,     -1,    -14,    -19,
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       4,     10,     13,     15,
      13,     10,      9,     10,
      13,     20,     32,     41,
      46,     48,     43,     32,
      16,      3,     -7,    -15,
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      -8,     -5,     -7,     -7,
      -5,     -7,    -11,    -12,
      -8,     -4,      0,      5,
      14,     23,     32,     36,
      34,     29,     26,     24,
      19,     20,     23,     24,
      21,     15,      7,     -4,
     -15,    -23,    -30,    -36,
     -37,    -33,    -25,    -17,
      -7,      2,      8,     13,
      13,      8,      0,     -4,
      -6,     -6,     -2,      6,
      14,     20,     24,     25,
      22,     14,      6,     -4,
     -17,    -27,    -33,    -35,
     -33,    -25,    -14,     -8,
      -4,     -1,     -1,     -2,
      -4,     -2,      3,     15,
      31,     43,     48,     48,
      41,     27,      9,     -7,
     -17,    -27,    -33,    -35,
     -36,    -33,    -29,    -23,
     -20,    -21,    -20,    -20,
     -19,    -16,    -11,     -3,
       4,     14,     19,     20,
      19,     16,     11,      5,
       5,      9,     14,     18,
      20,     23,     21,     15,
       7,     -7,    -22,    -36,
     -49,    -54,    -53,    -42,
     -27,     -9,      9,     26,
      32,     30,     23,     14,
       5,      0,      1,      1,
       3,      6,      8,      7,
       4,      3,      2,      1,
       0,      0,     -3,     -5,
      -3,     -2,      0,      2,
       6,      5,     -1,    -11,
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       0,      6,     11,     12,
       8,      1,     -2,     -6,
     -10,    -12,    -17,    -19,
     -23,    -25,    -26,    -25,
     -18,    -10,     -1,      5,
      12,     15,     17,     17,
      21,     24,     23,     22,
      17,     10,      1,     -1,
      -2,     -2,      0,      0,
       0,     -4,     -9,    -14,
     -18,    -19,    -18,    -17,
     -15,    -13,     -8,     -4,
       1,     11,     21,     27,
      31,     32,     28,     25,
      23,     22,     20,     21,
      24,     22,     12,      1,
      -8,    -18,    -26,    -32,
     -32,    -31,    -28,    -26,
     -26,    -23,    -18,    -10,
      -6,     -5,     -5,     -8,
     -11,    -12,    -10,    -10,
     -10,     -7,     -4,     -1,
       1,      6,      8,      7,
       6,      6,      7,      7,
       6,      3,      2,      3,
       8,     10,      9,      8,
       2,     -2,     -5,     -3,
       0,      3,      6,      8,
       7,      3,      0,     -5,
     -13,    -17,    -19,    -18,
     -15,     -7,      0,      5,
      10,     12,     17,     22,
      25,     22,     16,     12,
      13,     13,     12,     12,
      11,      6,      0,     -5,
     -10,    -14,    -12,     -6,
      -1,      1,      3,      3,
       0,    -10,    -21,    -35,
     -45,    -51,    -54,    -53,
     -47,    -34,    -19,     -3,
      13,     26,     31,     29,
      25,     19,     14,     10,
      10,     11,     10,      8,
       6,      4,      2,      3,
       3,      2,      1,      1,
       1,      0,      0,     -1,
       0,      4,      8,      8,
       4,      2,      0,     -2,
      -2,      1,      7,     10,
      13,     13,     12,     10,
       9,      7,      3,      0,
      -3,     -4,     -5,     -4,
      -4,     -2,      0,      1,
       0,     -2,     -3,     -4,
      -6,     -7,     -4,     -2,
       0,      0,     -1,     -4,
      -9,    -10,     -9,     -6,
      -4,     -2,     -2,     -5,
      -7,     -9,    -11,    -11,
     -11,    -10,    -13,    -13,
     -14,    -15,    -14,    -10,
      -3,      2,     10,     15,
      18,     17,     16,     17,
      16,     15,     12,      7,
       0,     -7,    -11,    -11,
      -8,     -2,      7,     15,
      20,     24,     25,     28,
      29,     29,     27,     23,
      20,     14,      4,     -2,
      -6,     -8,     -8,     -5,
      -1,      0,      2,      2,
       2,      0,     -1,     -3,
      -6,     -8,    -10,    -11,
     -10,     -7,     -1,      3,
       5,      7,      3,     -1,
      -6,     -9,    -12,    -14,
     -13,    -13,    -12,    -14,
     -10,    -14,    -10,      2,
     -11,     -6,     -4,     -9,
      -7,     -8,     -1,      3,
      13,     20,     25,     24,
      18,     11,      4,     -1,
      -7,     -6,     -4,     -3,
      -2,      1,      6,     10,
      13,     15,     16,     17,
      16,     11,      4,     -2,
      -7,    -11,    -11,     -8,
      -3,      0,      1,      2,
       0,     -1,     -2,     -1,
      -3,     -5,     -7,     -8,
      -7,     -5,     -1,      2,
       6,      9,     10,      9,
       7,      7,      9,     13,
      16,     16,     15,     10,
       5,      0,     -7,    -12,
     -17,    -21,    -25,    -25,
     -23,    -21,    -16,     -8,
      -1,      2,      2,      0,
      -1,     -7,    -11,    -13,
     -12,     -6,     -1,      1,
       1,      0,      0,     -1,
       0,      5,      9,     10,
       7,      4,      1,      1,
       2,      2,      1,      0,
      -1,     -1,     -2,     -1,
       0,      0,      1,      4,
       7,      6,      3,      0,
      -6,    -10,    -12,    -10,
      -7,     -4,     -4,     -4,
      -2,      4,     14,     21,
      26,     26,     22,     14,
       8,      2,     -3,     -8,
     -13,    -16,    -17,    -16,
     -16,    -15,    -13,     -7,
      -2,      3,      8,     11,
      10,      5,      2,      1,
       3,      3,      0,     -7,
     -14,    -20,    -20,    -18,
     -12,     -4,      2,      8,
      11,     15,     15,     15,
      14,     11,      7,      2,
      -1,     -6,    -11,    -13,
     -12,     -9,     -3,      0,
       2,      0,     -1,     -1,
       0,      2,      5,      6,
       4,      0,     -4,     -7,
      -8,     -8,     -8,     -6,
      -3,      0,      1,      4,
       7,      9,     10,     11,
      12,     12,     10,      5,
       1,      1,      3,      8,
      13,     15,     14,     11,
       5,      0,     -2,     -3,
      -6,     -8,    -11,    -12,
     -12,    -11,     -9,     -8,
      -6,     -4,     -1,      2,
       4,      5,      5,      6,
       8,     10,     10,      7,
       2,     -4,    -13,    -18,
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       4,      8,     11,     13,
      13,     12,     11,      7,
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      -4,     -8,    -10,     -9,
      -7,     -3,      0,      0,
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      -5,      1,      8,     13,
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      -6,     -3,      0,      2,
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      -4,     -4,     -3,     -1,
      -1,      0,      2,      5,
       9,     13,     16,     15,
      10,      5,      0,     -1,
      -1,      1,      3,      6,
       7,      7,      6,      5,
       3,      0,      0,      0,
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      -4,     -4,     -2,      0,
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      -4,     -5,     -5,     -3,
      -1,      0,      1,      1,
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      -6,     -7,     -5,     -1,
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      -2,     -3,     -5,     -6,
      -5,     -3,     -1,      0,
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      -1,      1,      4,      5,
       4,      3,      1,      0,
      -1,     -1,     -1,     -2,
      -2,     -1,      0,      1,
       3,      4,      4,      2,
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      -1,      0,      0,      0,
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     -93,    618,    826,     89,
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    4581,   6893,   3981,  -2314,
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   -4531,   4764,  12923,  19116,
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    -909,   -845,    722,   2876,
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  -32766, -30646, -24815, -16472,
   -6891,   2058,  10027,  17089,
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   17439,  15230,  14156,  13868,
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    8354,   4287,    573,  -2105,
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   -2183,   -794,   -201,   -573,
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   -7305,  -6610,  -3840,   -487,
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   -1503,   -556,   -411,   -124,
     788,   1946,   1014,  -1347,
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    3438,   2283,    216,  -1156,
   -1276,   -445,    399,   1105,
    1883,   1833,   1374,    926,
     526,    162,     75,    552,
     946,   1657,   2209,   2236,
    1537,    -68,  -1330,  -2351,
   -3242,  -3481,  -3237,  -3214,
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   -3053,  -4214,  -4791,  -4871,
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    4486,   3135,   1344,   1246,
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     -20,   -230,      0,    625,
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   -1529,  -2552,  -3119,  -2496,
   -1739,   -153,   1627,   1274,
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   -1139,  -2060,  -2978,  -3284,
   -3570,  -3565,  -2777,  -1222,
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    -128,   -628,   -502,   -129,
    -377,  -1561,  -3393,  -4150,
   -3459,  -2699,  -2101,  -2248,
   -2786,  -2322,  -1216,   -443,
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     999,    650,   1363,   1017,
    -797,  -1983,  -1847,  -1341,
    -801,   -964,  -1489,   -968,
      25,    147,   -503,   -614,
     116,   1183,   1771,   1005,
     433,   1236,   2330,   3039,
    2603,   1005,   -994,  -2183,
   -1295,    754,   2052,   2218,
    2299,   2450,   2840,   3511,
    3781,   3573,   2685,   1285,
     -25,  -1052,  -1681,  -1514,
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    -166,    126,    471,    893,
     229,  -1347,  -2748,  -3763,
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    5917,   6505,   5532,   3365,
    1602,     46,  -1136,  -1531,
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    1028,   1354,   1345,   1681,
    1854,   1773,   1241,    364,
    -538,   -924,   -920,   -485,
     294,   1078,   1778,   1735,
     855,    193,   -125,    185,
    1099,   1097,    455,     17,
     446,   1086,    536,    150,
     554,   1021,   1128,    992,
     985,   1189,   2058,   2998,
    3512,   3601,   3277,   2795,
    1858,   1323,   1523,   1662,
    1651,   1287,    304,   -982,
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   -2725,  -3665,  -4078,  -3779,
   -2585,  -1168,     27,    726,
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     426,   -265,   -950,  -1159,
   -1193,  -1286,  -1677,  -1724,
    -812,    130,    300,   -397,
   -1446,  -1692,   -736,    190,
     197,    -68,   -130,    116,
     771,   1289,   1659,   1916,
    1531,    718,   -230,  -1191,
   -1633,  -1062,   -368,   -405,
    -802,   -873,   -145,    960,
    1590,   1500,   1279,    948,
     718,    360,   -572,  -1428,
   -2132,  -2507,  -2378,  -1801,
   -1267,  -1100,   -749,     80,
    1138,   2024,   2613,   2695,
    2368,   1620,    344,  -1153,
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    1126,   1214,   1370,   1659,
    1920,   1785,   1434,   1258,
    1634,   2449,   2799,   2353,
    1271,      3,  -1169,  -2400,
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   -6723,  -6070,  -5077,  -3996,
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    1229,   1381,   1695,   2687,
    3832,   4169,   3985,   4215,
    4803,   5026,   4800,   4155,
    3734,   4009,   4583,   4954,
    4702,   4315,   3932,   3323,
    2784,   2702,   3113,   3541,
    3723,   3700,   3475,   3262,
    3325,   3284,   3075,   2998,
    2919,   2742,   2488,   2169,
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     494,    677,    737,    350,
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    -498,   -177,    248,    590,
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    -157,   -949,  -1390,  -1432,
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    -581,    250,   1109,   1669,
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    2135,   1681,   1083,    421,
    -166,   -621,   -959,   -892,
    -321,    394,   1060,   1643,
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    2728,   2513,   1856,   1087,
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     180,     40,    -52,   -293,
    -638,   -921,  -1125,  -1205,
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      33,   -248,   -781,  -1293,
   -1406,  -1392,  -1480,  -1639,
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    -378,    288,    928,   1333,
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    -606,  -1053,  -1438,  -1701,
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    -449,     58,    520,    796,
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     639,    837,    989,   1032,
     858,    669,    603,    490,
     315,    198,    178,    206,
     183,    270,    442,    442,
     371,    350,    520,    705,
     707,    510,    189,    237,
     292,    227,    320,    345,
     561,    827,    872,    954,
    1112,   1325,   1551,   1572,
    1524,   1356,   1108,    909,
     742,    662,    444,    247,
     -38,   -323,   -458,   -658,
    -715,   -689,   -438,     52,
     386,    494,    341,     15,
     175,    705,    949,    854,
     508,    221,      1,   -210,
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      -7,    268,    226,    123,
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    -693,   -470,    -31,    338,
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    -448,   -342,   -357,   -265,
    -180,   -104,    -58,    -36,
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    -289,   -551,   -673,   -675,
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     543,    595,    640,    638,
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    -132,   -121,   -146,   -188,
    -261,   -189,     45,    253,
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    1048,   1360,   1872,   2274,
    2539,   2412,   1944,   1579,
    1307,   1022,    741,    523,
     398,    171,   -177,   -349,
    -242,      3,    279,    397,
     308,    228,    175,     33,
     -83,    -89,     36,    293,
     512,    706,    817,    816,
     740,    514,    169,   -236,
    -519,   -647,   -639,   -559,
    -373,   -195,    -88,    193,
     388,    625,    957,   1080,
    1006,    748,    598,    429,
      78,   -249,   -562,   -691,
    -639,   -547,   -512,   -657,
    -867,  -1040,  -1045,   -772,
    -370,    -73,    130,    348,
     566,    714,    713,    655,
     521,    477,    597,    554,
     455,    327,    160,    156,
      46,   -228,   -651,  -1119,
   -1283,  -1285,  -1206,  -1159,
   -1037,   -672,   -240,    173,
     389,    510,    814,   1162,
    1279,   1325,   1235,   1055,
     826,    481,    191,    -29,
     137,    415,    646,    795,
     718,    724,    781,    914,
    1060,   1090,    949,    697,
     441,    263,    166,     54,
    -182,   -426,   -525,   -582,
    -524,   -395,   -279,   -105,
     136,    265,    370,    329,
     169,    -16,   -424,   -729,
    -974,  -1093,  -1295,  -1578,
   -1610,  -1488,  -1174,   -916,
    -775,   -660,   -582,   -709,
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    -956,   -977,   -838,   -756,
    -673,   -626,   -491,   -229,
      14,    -22,   -194,   -292,
    -353,   -252,   -149,     30,
     238,    279,    205,    -26,
    -253,   -228,   -117,     63,
     209,    133,     58,    -58,
     -89,    -18,    -44,    -93,
     -85,     38,    108,    157,
     179,     95,     74,     74,
     140,    168,     61,     55,
     201,    404,    634,    777,
     738,    657,    580,    495,
     403,    317,    167,    -58,
    -368,   -630,   -645,   -608,
    -505,   -444,   -426,   -345,
    -138,     77,    225,    485,
     623,    921,   1214,   1282,
    1367,   1161,    996,   1144,
    1208,   1275,   1292,   1153,
    1032,    696,    448,    388,
     308,    346,    381,    332,
     264,    370,    540,    688,
     728,    750,    887,   1108,
    1429,   1485,   1443,   1352,
    1140,    985,    708,    424,
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      -8,   -653,  -1120,  -2120,
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    1180,   -245,   -266,   -358,
   -1765,  -1972,  -2507,  -1711,
   -1245,  -1145,  -1155,  -2169,
   -2501,  -2145,    103,   1423,
    2025,   2619,   2652,   1840,
    1241,   1064,   1326,   2599,
    1602,   1648,   1807,    887,
     306,  -1329,  -2339,  -2584,
   -1463,   -277,    418,   1031,
    1762,   2705,   2463,   2764,
    3353,   3164,   2635,   1257,
    -389,  -2389,  -3313,  -3478,
   -3764,  -2604,  -1716,  -1733,
   -1769,  -1804,  -2038,  -1488,
    -546,   -333,   -243,     35,
     462,    184,    428,    281,
    -710,   -860,    -69,   1338,
    2086,   2666,   2880,   2544,
    2172,   1810,   1639,   1490,
    1460,   1237,    975,    583,
    -709,  -1992,  -2370,  -3189,
   -3463,  -3245,  -3817,  -3564,
   -2907,  -1597,    443,   1972,
    2282,   1007,     95,    533,
    1606,   3278,   4149,   4168,
    4695,   3355,   1983,   1164,
    -136,   -608,  -1819,  -1695,
   -1345,  -1623,  -1522,  -1827,
   -1471,   -994,  -1198,  -1502,
   -1707,  -1707,   -684,    128,
     330,   -155,   -252,   -671,
    -933,   -511,    254,   1620,
     770,   1324,    959,   -242,
      21,   -543,    354,    562,
     268,    627,    545,    100,
    -361,   -916,  -1193,  -1266,
     587,   1661,    839,    554,
    -643,    426,   1331,   2139,
    2224,    738,    302,   -890,
   -1377,  -2279,  -2759,  -2207,
   -1085,    101,    476,    393,
     406,    901,    865,   1423,
    1883,   1986,   1483,    986,
     297,   -816,   -436,   -277,
      33,   -359,   -859,   -650,
   -1528,  -1227,  -1918,  -2248,
   -1441,  -1496,   -831,  -1105,
     101,   1270,   1710,   1922,
     407,     38,   -226,    104,
     565,    496,   1061,   1473,
    1609,    815,   -351,   -613,
     101,    416,   -470,   -255,
    -377,  -1197,  -1201,  -1760,
   -1358,  -1606,  -1191,   -677,
   -1001,   -629,  -1524,  -1421,
   -1390,   -970,   -445,     88,
     566,    312,   1451,   1369,
    2133,   2244,   1142,   1618,
    1552,   2486,   2124,   1049,
     567,    -42,    339,   -695,
    -386,   -850,  -1597,   -628,
   -1186,  -1883,  -3464,  -3030,
   -2261,  -1498,   -675,   -961,
     181,    171,    671,    441,
     409,    965,    323,   1410,
    2117,   2634,   3214,   2001,
    1109,    934,   -266,  -1045,
   -1233,  -1173,    -28,    387,
     -11,   -483,  -1110,  -1444,
   -1370,   -954,   -824,   -267,
     531,   1136,    978,   -348,
   -1094,   -925,     96,    829,
    1192,   1092,    577,   -404,
   -1464,  -2042,  -3246,  -3119,
   -2287,  -1067,    983,   1873,
    1682,   1817,   1293,   1500,
    1630,    722,   1399,   1089,
    1064,    580,    675,    964,
     371,    431,   -830,  -1063,
   -1938,  -2127,  -1858,  -1855,
   -1922,  -1634,   -280,   -428,
    -102,   -842,   -602,   -116,
      73,    659,    281,   1194,
     849,    542,    443,    301,
    -577,   -621,   1372,   1076,
    1939,   2626,   2729,   2402,
     597,    440,   -638,  -1235,
   -1264,  -1510,  -1638,  -1825,
   -1711,  -2322,  -1907,  -1388,
   -1097,   -710,     55,    837,
     744,    827,   1017,    689,
     229,   -336,   -543,    -43,
     489,   1448,   1203,   1368,
     847,    116,     66,   -801,
       0,   -392,   -380,   -203,
    -560,   -493,   -998,   -273,
     955,   1659,   1616,   1727,
     825,     93,    250,     70,
    -692,  -1306,   -894,   -493,
    -424,   -198,   -210,  -1620,
   -1639,  -1506,  -1042,    -54,
    -363,    341,    -28,   -867,
    -754,   -756,   -805,   -386,
    -207,    640,   1254,    864,
    1677,    175,   -591,   -732,
   -1378,    662,   1271,   2055,
    1866,    696,    774,    397,
     130,   -511,   -471,    -96,
     960,   1988,   2388,   2015,
     393,  -1135,  -2304,  -2611,
   -2234,   -944,    -86,    205,
     176,   -333,  -1187,   -924,
    -268,   -108,    913,    811,
     882,   -139,   -955,   -907,
   -1225,   -339,    511,   1897,
    1674,   1068,    656,   -269,
    -409,   -948,   -660,   -551,
    -608,    461,    284,   -118,
    -557,  -1609,  -1670,  -1995,
   -1339,    388,   1439,   2472,
    2626,   1517,    641,    -22,
     -99,     -7,   -402,   -886,
   -1339,   -882,  -1265,  -1424,
   -1522,  -1212,   -428,   -376,
    1274,   2010,   2393,   3157,
    2323,   1008,    208,   -514,
   -1109,   -994,    -69,    798,
    1363,   1099,   -116,   -685,
   -1500,  -2065,  -1845,   -685,
     127,    643,    504,   -365,
   -1278,  -1771,   -817,   -855,
      57,    323,    -76,   -443,
    -485,     94,    697,   1460,
    1008,   1750,   1264,   1284,
     322,   -740,   -535,   -395,
    1295,   1455,   1832,    544,
   -1320,  -2240,  -2699,  -2222,
   -2103,  -1995,   -608,    187,
     -46,    -30,   -556,    -46,
    -214,    656,    590,    535,
     935,    456,   1213,   1388,
    1528,    983,   1085,     -3,
    -145,   -234,   -150,    -80,
   -1943,  -1404,  -1232,   -694,
    -892,   -924,   -476,   -225,
     554,    660,   1515,   2246,
    2753,   2571,   2018,   1400,
      88,  -1290,  -1248,  -1548,
   -1320,  -1426,  -1723,   -343,
    -999,  -1108,   -546,  -1195,
    -923,    -52,    701,   1498,
     794,    218,    -49,   -119,
    -159,   -706,   -507,   -964,
     -97,    789,   2643,   3403,
    2592,   1296,   -461,    182,
   -1010,  -1458,  -2216,  -2314,
    -949,   -771,   -202,   -750,
    -399,    155,    939,   1580,
    1271,   1237,    378,    -87,
    -470,  -1033,    574,    782,
     478,   1149,    109,   -553,
   -1041,   -889,   -539,   -164,
      93,    113,    407,    346,
    -311,   -696,    -84,     80,
     826,   1089,    981,   1079,
     861,    352,     -4,  -1152,
   -2201,  -1709,  -1619,   -628,
    -426,    176,    627,    115,
     467,    485,    647,    105,
      59,    602,    839,    708,
    -158,   -704,   -679,   -750,
    -614,   -867,   -473,     49,
     -41,      6,     43,    884,
     831,   1105,    765,     77,
     169,   -423,  -1030,  -1228,
   -1319,  -1444,   -715,    159,
     964,    639,    905,   1082,
     902,    603,    236,    107,
    -182,    -64,  -1208,   -404,
    -696,   -519,   -433,  -1379,
      29,    160,    687,   1034,
    1119,    358,   -647,  -1507,
   -1164,   -540,    164,   1932,
    1769,   1635,    514,   -370,
    -940,  -1453,   -955,   -634,
     379,   1341,   1242,   1060,
    -191,  -1177,  -1107,  -1762,
    -896,   -442,    195,    938,
     986,    978,   1212,    989,
     927,    713,   -432,    198,
    -657,   -155,   -666,   -390,
     218,   -691,    120,  -1120,
      94,   -610,   -663,    298,
    -462,     38,   -568,     22,
      32,     -1,   -357,   -188,
     941,    961,    383,   -512,
    -275,   -574,   -489,    500,
     -83,    294,   -128,   -853,
    -378,   -791,     45,    292,
     841,   1377,   1228,    981,
     950,    717,     96,    445,
      20,    366,    153,    129,
     128,    -98,   -620,   -625,
    -358,   -916,   -283,   -869,
    -806,   -838,   -850,  -1152,
    -899,   -853,   -557,    242,
     254,   1627,    799,   1706,
    1173,    483,    355,   -721,
    -294,   -690,    326,   -175,
     376,   -317,   -798,     81,
     -79,    763,    143,    675,
     450,    648,   1053,     72,
      13,   -252,   -616,   -360,
     108,   -294,   -553,   -266,
    -379,   -778,    269,    484,
     101,    382,   -271,    310,
      32,   -699,   -790,  -1285,
    -569,   -147,    220,   -182,
   -1322,   -855,   -499,   -275,
     355,    574,    967,   1272,
    2134,   2516,   1768,   1366,
     597,    291,   -475,   -630,
    -447,   -583,     46,   -475,
    -515,   -925,  -1118,  -1031,
    -715,    -99,     70,    220,
    -427,   -498,   -379,   -178,
    -346,    376,   -191,   -792,
    -655,  -1118,   -803,   -904,
     368,    676,   1161,   1242,
    1443,   1171,    406,    773,
     408,    889,    733,    646,
    -711,   -542,   -380,   -167,
    -163,   -526,    946,     36,
     599,     49,    160,   -413,
   -1728,  -1282,  -1271,    -47,
     160,    494,    264,   1004,
     720,    506,    840,   -396,
    -624,    349,   1032,    416,
     335,  -1032,   -848,   -850,
   -1102,   -244,   -317,    329,
     841,   1390,    753,    587,
     126,     14,    -50,   -561,
      76,   -358,   -315,   -844,
   -1450,   -828,   -413,    155,
     919,   1201,    960,    696,
     406,    123,     98,    159,
     392,    253,   -124,    -66,
    -577,   -775,  -1570,  -1744,
   -1059,  -1028,    -80,     32,
      -2,    317,    430,    658,
     578,    714,    828,    273,
    -173,   -152,     41,    281,
    -171,    124,    196,     57,
     316,    117,    254,   -194,
    -418,    -68,    391,    453,
     653,    869,    693,   1151,
    1216,    934,   -208,  -1356,
   -1461,   -843,   -612,   -608,
     -55,   -231,   -398,  -1120,
    -917,   -775,  -1293,  -1338,
   -1669,   -972,  -1333,   -314,
     434,   -192,    541,     20,
     343,   1842,   2881,   2435,
    2014,   1177,   -241,   -524,
    -344,    835,   1456,   1479,
     369,    348,    451,    100,
    -171,  -1215,   -317,  -1240,
   -1362,   -796,  -1205,  -1042,
    -927,     74,     52,    721,
     787,    717,    566,    303,
     561,    297,    596,   -137,
    -114,   -291,   -454,     90,
    -220,   -193,   -197,   -617,
      59,    545,    556,   1619,
    1084,   1222,    671,   -525,
    -721,   -798,   -234,   -645,
     345,    533,    856,    754,
    -947,  -1619,  -1784,  -1182,
    -526,    139,    -52,    502,
    -188,   -764,   -438,    -42,
     356,   -552,   -102,   -485,
     958,   1270,    697,    739,
    -331,    -26,  -1163,   -527,
    -862,   -503,    799,   -556,
      47,     -5,     54,   1445,
    1124,    665,    716,   -156,
     -63,   -421,   -812,   -781,
    -880,   -178,   -114,    641,
     925,    855,    516,    387,
     156,     29,    -75,  -1007,
    -270,   -565,   -934,   -802,
    -811,   -418,   -219,   -288,
    -305,   -194,   -714,   -135,
     116,    710,    882,    367,
     943,    993,   1101,   1539,
    1201,    549,    500,   -157,
    -222,   -315,   -745,  -1099,
   -1266,  -1232,  -1209,   -381,
    -207,   1047,    949,    775,
    1174,   -252,   -589,  -1006,
    -846,   -211,    589,    846,
    1397,   1645,    648,    213,
    -807,   -367,   -459,   -581,
    -132,   -566,   -219,   -691,
    -455,     13,    158,    305,
      19,    471,    633,    299,
    -151,   -106,    102,    258,
     284,   -601,  -1510,  -2155,
   -2430,  -1739,   -906,   -706,
     154,    554,    393,    481,
     -54,    599,    339,   1096,
    2563,   1740,   2016,    668,
     -96,   -320,   -828,    -67,
    -766,   -714,  -1061,  -1381,
   -1103,  -1031,   -665,     20,
     330,    760,   1386,   1042,
    1240,    572,    854,    132,
    -208,    906,    259,    578,
      68,    117,    468,     81,
      13,     19,    -78,   -540,
    -905,   -409,    -81,    761,
    1738,   -208,    119,   -466,
    -978,   -298,   -759,    423,
    -109,    629,    738,    626,
     688,     58,    -87,   -811,
    -209,   -366,   -230,   -889,
    -954,   -340,   -621,   -129,
   -1007,  -1230,   -980,   -905,
    -428,   -466,    -59,     34,
     463,    729,    661,   1011,
     546,    616,    778,   1496,
    1264,    715,    765,   -115,
    -155,  -1171,   -679,   -111,
    -204,    669,    491,    604,
      18,   -592,   -786,   -709,
    -810,   -721,    -52,   -298,
    -806,   -329,    267,    833,
    1449,    878,    459,   -115,
    -266,   -576,  -1280,   -687,
    -827,   -702,   -342,   -737,
    -191,   -167,    273,    782,
     121,    734,    631,   1030,
    1712,   1244,    986,    753,
     286,   -611,   -126,   -467,
    -603,   -268,   -756,   -821,
   -1301,  -1061,   -938,   -998,
    -791,   -709,   -588,   -540,
    -199,    280,    332,    780,
     841,    468,    671,    112,
     132,    618,    537,    298,
     683,    468,      4,    369,
      33,    431,     86,   -851,
    -832,  -1225,  -1157,    122,
     804,    287,    251,    141,
     -55,   -106,   -415,   -263,
    -412,   -383,   -288,   -861,
    -206,   -568,   -911,   -227,
    -361,    353,    290,    737,
     669,    463,   1190,   1183,
    1565,    529,    588,    302,
    -257,    213,   -343,    248,
     319,    316,    289,   -468,
   -1116,  -1395,  -1440,   -810,
    -262,   -237,    635,    185,
     645,    918,    526,    650,
     167,    776,    485,    190,
    -236,   -550,   -496,  -1017,
    -600,    110,    348,    440,
     295,   -439,   -683,  -1228,
   -1171,   -531,   -246,     32,
     121,    113,    -49,     -1,
    -341,   -337,   -341,    445,
     623,    595,    785,     20,
      53,   -754,   -826,   -542,
     347,   1190,   1289,   1253,
     571,    725,    -65,    523,
     575,   -125,    348,      5,
      64,   -517,   -823,  -1050,
   -1035,   -747,  -1279,   -536,
    -101,   -145,    307,   -203,
     115,    381,    312,    748,
     642,    671,    114,    -77,
    -244,   -359,   -749,   -502,
     257,   -534,    160,    327,
     328,    801,    670,   1137,
     824,    281,    -66,   -352,
    -506,   -354,   -499,   -594,
    -634,   -611,   -669,   -791,
    -413,   -114,   -289,   -398,
     810,    872,   1162,   1136,
     482,    656,    -91,    120,
    -119,    233,    218,   -414,
    -207,   -290,    506,   -270,
    -220,    155,   -607,    -37,
    -443,   -117,    159,    -71,
     738,    412,    312,     32,
    -110,   -334,  -1041,   -936,
   -1142,   -994,   -808,   -246,
     485,    712,    569,    466,
     335,    324,    265,    -22,
     566,    553,    495,    259,
     450,    115,   -364,   -211,
    -639,    -67,   -148,     88,
    -130,   -573,   -817,   -926,
    -561,   -939,   -396,     77,
     416,    507,    932,   1322,
    1435,   1589,   1290,    425,
    -194,    111,   -477,   -264,
    -380,   -965,   -818,  -1107,
   -1154,  -1069,   -887,   -392,
    -210,    -38,    110,   -119,
     412,    130,    -67,   -387,
    -406,    647,    955,   1660,
    1425,   1387,   1001,    636,
     701,    103,    682,    332,
     227,    128,  -1080,  -1499,
   -1926,  -1962,  -1319,   -719,
     -75,    601,    812,    551,
    -117,   -621,   -679,  -1132,
   -1026,   -667,   -481,    -24,
     -77,    413,   1057,   1155,
    1183,   1284,   1717,   1460,
     809,    -28,   -504,   -476,
    -875,   -512,   -848,  -1005,
     -99,   -278,    236,    863,
    1080,    541,   -163,   -719,
   -1657,   -679,   -545,     61,
     919,     20,     39,   -787,
    -749,   -542,   -444,    594,
     783,   1793,   1161,    196,
    -218,  -1257,  -1038,   -794,
     393,    783,    709,   1164,
     492,   -301,   -765,   -264,
     337,    241,    100,    302,
    -155,    408,    761,    169,
     218,   -585,   -148,    219,
     104,   -206,   -905,   -853,
    -779,   -323,   -257,     -4,
     185,   -383,   -882,  -1071,
    -641,    201,    470,    994,
    1356,   1479,   1658,    675,
     501,   -128,  -1009,   -740,
   -1130,  -1221,   -576,   -448,
    -529,   -337,     73,    321,
     164,    846,   1058,    824,
     859,   1039,    674,   -384,
    -526,   -745,   -622,   -786,
    -673,   -144,    203,    -41,
    -567,    264,    -60,    134,
     171,   -188,    -31,    -58,
     627,    -25,    149,    188,
     156,    607,      0,    119,
     -61,   -294,   -422,   -107,
     216,    340,    127,   -641,
    -632,   -824,   -947,   -581,
    -363,     -8,    463,     79,
    -100,    185,    528,    827,
     624,    564,    195,    -40,
      65,     95,   -109,    346,
     564,    124,    208,   -200,
    -685,   -536,   -676,   -933,
    -714,   -430,    290,    124,
     303,    537,    -86,   -152,
    -238,    130,    346,    571,
      78,    215,    403,    493,
     924,    261,    318,     77,
     -61,   -287,   -755,   -945,
    -452,    159,     65,   -112,
    -252,   -493,   -664,   -557,
    -736,    -96,   -688,   -860,
    -737,   -674,    361,    650,
    1327,   1104,   1241,   1025,
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     838,  -1045,  -1853,  -1649,
   -2108,  -1116,  -1211,   -437,
     202,    266,   1486,   1958,
    2623,   2841,   3154,   2615,
    1750,    873,   -250,   -814,
    -790,   -388,    320,    783,
     705,   1176,    544,    897,
    1062,    665,   1209,    547,
     658,    677,    204,   -159,
    -208,    -44,    470,    868,
     368,   -156,  -1317,  -1719,
   -1634,  -1218,   -114,   1310,
    1971,   1873,   1312,     93,
     298,    419,    770,   1030,
      96,  -1051,  -1220,   -857,
    -208,   1368,   1607,   2361,
    2088,   1762,   2104,   1662,
    2292,   1404,    916,    -71,
   -1073,   -794,  -1013,   -578,
    -545,   -721,   -707,   -860,
   -1654,  -1530,  -2097,  -2539,
   -1842,  -1651,    206,   1469,
    2880,   3714,   3100,   2670,
    1857,   1942,   2461,   2562,
    1955,   1088,   -117,   -690,
    -525,     94,    636,    665,
    -447,  -2418,  -3315,  -4378,
   -2961,   -911,   -465,    303,
    -123,   -923,   -845,   -615,
    -290,    827,   1628,   3050,
    3955,   4182,   4089,   2947,
    2185,    865,    350,   -822,
   -1798,  -1620,  -1537,    505,
    1477,   2312,   3284,   2263,
    1791,    664,    -18,     31,
    -833,  -1049,  -2018,  -3162,
   -3569,  -3761,  -3198,  -2626,
   -2001,  -1467,  -1048,    175,
    1214,   2318,   2593,   1832,
    1625,    310,    367,    460,
     306,   1482,   2077,   3232,
    2976,   2173,   1293,    929,
    1144,   1214,    851,   -975,
   -2766,  -4547,  -4768,  -5009,
   -4382,  -3647,  -3826,  -3142,
   -3130,  -1505,   -412,    -91,
     276,   -516,   -243,    985,
    1861,   3013,   3827,   2478,
    2406,   2611,   2294,   3127,
    2739,   2262,    792,   -805,
   -1423,  -2395,  -2899,  -3086,
   -2507,  -2209,  -1466,   -299,
     240,    682,    210,   -122,
    -827,  -1477,  -1886,  -2555,
   -2094,  -2304,  -1899,   -648,
     121,   1694,   2651,   3575,
    3529,   2555,   1993,   1156,
     650,    -90,   -561,  -1249,
    -988,   -135,    408,   1153,
      41,  -1125,  -1679,  -2209,
   -1832,  -1716,  -1754,  -1270,
   -1135,    243,   1139,    909,
     682,   -639,   -888,  -1202,
    -341,   1002,   1209,   1902,
    1641,    419,  -1380,  -2717,
   -3552,  -2829,   -938,    272,
    1299,   1100,   -177,   -605,
    -544,    -11,   1059,   1615,
    1897,   1126,    -61,   -882,
   -1702,  -2529,  -2985,  -2997,
   -2731,  -1707,  -1413,  -1568,
   -1277,  -1613,  -1039,    369,
     905,   1338,   1287,   1279,
    1168,    981,    717,   -264,
   -1398,  -2410,  -2237,  -1372,
     290,   1421,   1568,    770,
    -394,  -1258,  -1496,  -1042,
   -1734,  -1766,  -2489,  -2947,
   -3433,  -4012,  -3660,  -3912,
   -2928,  -1824,   -378,    627,
    1801,   2366,   2493,   2647,
    1604,   1268,     28,   -471,
    -263,   -426,   -572,   -607,
    -519,   -364,    807,   1211,
     612,   -172,   -945,  -1704,
   -1527,  -1372,  -1611,  -2079,
   -3309,  -3350,  -2783,  -1663,
    -139,    407,    747,    952,
     993,   1719,   2061,   2071,
    1436,    238,   -383,  -1184,
    -528,     62,    123,    250,
    -225,   -297,   -537,    -97,
      67,   -130,   -678,  -1274,
   -1447,  -1691,  -1679,  -1840,
   -1505,  -1811,  -1463,   -718,
    -613,   -364,   -202,    -18,
    -267,   -393,   -926,   -945,
    -988,   -560,    346,    339,
     228,   -563,   -618,   -254,
    -356,   -412,   -716,  -1109,
   -1237,   -903,    125,    216,
     220,    629,     80,    731,
     949,    625,    223,  -1180,
   -2485,  -3073,  -3151,  -2770,
   -2129,  -2324,  -1978,  -1782,
    -966,    795,   1523,   1805,
    1358,    128,   -463,  -1035,
   -1026,   -311,  -1330,  -1234,
   -1508,  -1784,   -703,   -697,
     143,    888,   1856,   2792,
    2829,   1831,    635,   -678,
   -2048,  -2117,  -2955,  -3599,
   -3730,  -3801,  -3457,  -2550,
   -1281,   -325,   1006,   1696,
    2215,   2674,   2857,   3416,
    3086,   2780,   1829,    -46,
    -868,  -1991,  -2109,  -1710,
   -1059,     80,   -287,   -135,
    -713,  -1268,   -717,   -434,
       9,    567,    678,    -80,
    -500,  -1024,   -588,    122,
    1208,   2401,   2166,   1913,
     533,   -442,  -1198,  -1575,
    -794,   -403,   -183,    -14,
    -119,   -382,   -143,   -557,
    -809,  -1742,  -2873,  -3113,
   -2967,  -1454,   -842,    -96,
     257,   -134,    183,   -111,
    -360,   -678,   -540,     97,
     946,   1579,   1122,    319,
    -540,   -660,   -431,    226,
     295,   -291,   -246,   -554,
     298,    984,   1497,   1903,
    1678,   1162,   -185,   -635,
   -1352,  -1249,  -1067,   -961,
   -1097,  -1549,  -1699,  -2670,
   -2068,  -1879,  -1392,    108,
    1101,   1881,   3110,   3861,
    3524,   2862,   1389,    -19,
   -1638,  -2309,  -2726,  -1992,
   -1838,  -1765,   -838,  -1773,
   -1369,  -1759,  -1769,   -918,
    -795,    899,   1837,   2342,
    3015,   1695,    304,   -802,
   -1312,   -811,   -104,    622,
      26,    499,    -10,   -441,
    -299,  -1117,  -1243,  -1887,
   -2045,  -2282,  -1872,  -1495,
    -367,    587,   1227,   1301,
     327,    211,  -1208,   -480,
     344,    182,    420,   -530,
   -1296,  -1857,  -1540,   -117,
    1153,   1020,    744,    -85,
    -528,    385,    769,    769,
    -270,  -2175,  -3262,  -3877,
   -3414,  -3028,  -2862,  -1951,
   -1957,   -651,    410,    571,
     754,    196,    -61,    -56,
     792,    913,    990,   1208,
     935,   1143,   1295,   1463,
    1152,   1014,    776,    202,
     164,   -973,  -2055,  -2664,
   -2987,  -2176,  -1565,   -989,
    -842,    -15,   1475,   2891,
    4098,   4096,   2743,   1281,
     304,   -894,  -1018,  -1454,
   -1612,  -1274,  -1164,   -370,
     448,    444,   -297,  -1160,
   -2582,  -3125,  -3140,  -2818,
   -2273,  -1389,   -575,   -159,
     229,    157,    565,   1436,
    2463,   2604,   2758,   1554,
     309,   -497,  -1629,  -1462,
   -2328,  -2776,  -2957,  -3430,
   -3551,  -2860,  -2177,  -1441,
     105,    570,    972,    539,
     390,    976,   1298,   2691,
    3493,   3740,   3866,   3167,
    2639,   1541,    214,   -227,
   -1424,  -2335,  -2936,  -4211,
   -3764,  -2931,  -1525,    201,
     816,   1234,    144,   -515,
   -1714,  -1390,    207,    718,
    2143,   1223,    400,   -552,
    -966,    570,   1661,   2689,
    2188,    931,   -162,   -365,
     248,    898,    788,   -223,
   -1140,  -1641,  -1927,  -1412,
   -1180,  -1307,  -1209,  -1511,
    -640,    613,   2250,   3534,
    3924,   2919,   1288,      2,
    -793,   -432,   -121,    662,
     382,   -289,  -1252,  -1526,
   -1351,  -1531,  -1150,  -1626,
   -1531,  -1021,    291,   2088,
    3189,   2355,   1012,  -1190,
   -3872,  -4523,  -4977,  -4519,
   -3760,  -2962,  -2855,  -2634,
   -2198,  -1606,    321,   2168,
    3863,   4483,   5152,   5196,
    4875,   4788,   3486,   1892,
      66,  -1522,  -2597,  -3231,
   -2990,  -2494,  -2374,  -1686,
    -935,   -808,   -306,   -112,
      16,    727,    976,   1667,
    1524,    454,   -292,  -1879,
   -1815,  -1201,   -575,    923,
    1617,   2177,   1968,   1582,
    1334,   1319,   1028,    693,
     980,   1439,   3325,   4007,
    3758,   1833,  -1736,  -3196,
   -3999,  -2911,   -509,   1681,
    2641,   2318,   1139,   -746,
   -1033,  -1685,   -704,    430,
    1085,   3066,   2712,   2872,
    1693,   -269,  -1372,  -3671,
   -4350,  -5079,  -4239,  -2870,
   -2002,  -1103,  -2143,  -2439,
   -3357,  -2783,  -1764,  -1176,
    1063,   1605,   2220,   2658,
    2324,   1942,   1139,    324,
      21,     46,     -9,    245,
     491,    314,   -749,   -785,
   -1198,  -2292,  -2195,  -2613,
   -2542,  -2145,  -2119,  -1533,
   -1454,  -1249,   -877,   -424,
     262,    865,   2016,   1717,
    1230,    681,   -508,   -705,
    -535,     92,   1393,   2902,
    3721,   3519,   1341,  -1358,
   -4131,  -5112,  -4598,  -4023,
   -2183,  -2486,  -2777,  -2713,
   -2722,   -714,   1905,   4203,
    5392,   5015,   4056,   3594,
    3202,   3211,   1652,   -852,
   -3397,  -5683,  -6188,  -5536,
   -3225,  -1589,    -94,   1299,
    1143,   2015,   2700,   3475,
    3585,   2824,   2851,   2193,
    2390,   2303,   2032,    950,
   -1083,  -2017,  -3310,  -3676,
   -3426,  -3373,  -3096,  -2728,
   -3102,  -2851,  -2789,  -2748,
   -1525,   -376,   1382,   2464,
    3071,   2263,   1313,    373,
    -358,   -798,  -1466,  -2446,
   -4611,  -5309,  -5881,  -4216,
   -1717,    338,   2442,   2437,
    1573,    -34,  -1584,  -2568,
   -2893,  -2867,  -2017,  -1355,
    -284,    685,   1852,   2504,
    2577,   3275,   2946,   3187,
    2427,   1932,   1396,   1013,
    1334,   1346,   1341,   1014,
    1131,    962,   2195,   3055,
    3313,   2617,    581,  -1932,
   -3577,  -3678,  -3457,  -1762,
    -951,   -403,   -316,   -504,
      -7,    678,   1988,   2952,
    3248,   2899,   2610,   1738,
    1201,    865,    285,     86,
     339,    479,   -162,  -1090,
   -2489,  -3669,  -4054,  -3186,
   -2020,     50,   2192,   2991,
    3999,   3978,   4473,   5281,
    5488,   5302,   3193,   1066,
   -1421,  -2748,  -2771,  -2845,
   -1307,    -78,   1337,   3045,
    3681,   4753,   5231,   4491,
    4158,   2113,   -657,  -2704,
   -5286,  -6171,  -5568,  -4230,
   -2472,   -880,    163,    695,
    1363,   1867,   2007,   1949,
    1719,    953,   -100,  -1144,
   -1963,  -2941,  -3443,  -3399,
   -3014,  -2063,  -1398,  -1137,
    -584,   -494,   -220,    357,
      89,    162,   -996,  -2307,
   -3100,  -3443,  -2586,   -110,
    2694,   4017,   5033,   4415,
    3770,   2827,   2787,   2538,
    2077,   2810,   2576,   3288,
    3672,   4606,   4530,   4078,
    3572,   2310,   2449,   2602,
    2786,   2535,   1955,   1110,
     791,   -240,  -1320,  -1838,
   -2224,  -1062,    730,   2602,
    4283,   5186,   4752,   4548,
    4652,   4765,   4834,   4284,
    3338,   1994,   1330,   1571,
    2211,   3419,   3762,   3853,
    3150,   1535,    998,    -90,
    -309,  -1596,  -2701,  -3551,
   -4350,  -2058,    274,   2922,
    4068,   4100,   3390,   3129,
    3404,   3861,   4251,   2989,
    2187,    416,    179,   1063,
    2104,   3164,   2997,   2273,
    1135,   -143,  -1058,  -1752,
   -2618,  -1976,  -2051,  -1554,
   -1194,  -1328,   -839,   -380,
     -85,     26,    795,   -247,
     -73,   -267,   -205,   1126,
    1685,   2604,   1766,   1348,
     933,   1299,   2472,   3319,
    3671,   2322,   1300,   -578,
   -1505,  -1412,  -1999,   -776,
     -17,    253,    951,   1516,
    2695,   3848,   5006,   5441,
    5758,   5180,   4920,   4513,
    3211,   2892,   1570,   1742,
    1876,   1521,   1645,    602,
     -71,  -1297,  -1974,  -2151,
   -2179,  -2283,  -2316,  -2363,
   -2290,   -712,    322,   1511,
    2152,   1846,   1462,    660,
     962,   1569,   2500,   3179,
    3238,   2410,    475,    111,
    -131,    307,   1760,   1419,
    1363,    579,   -623,   -385,
    -397,    778,   1755,   1934,
    2117,    813,    259,     31,
    -464,    -57,    -77,    113,
     816,   1072,   1110,   1226,
     990,   1412,   2250,   2945,
    4307,   4869,   5449,   4667,
    3295,   2896,   2075,   2506,
    2007,   1022,   -921,  -2816,
   -3706,  -4509,  -3263,  -3059,
   -2774,  -2483,  -2691,  -3125,
   -3133,  -2472,  -1900,    183,
     893,   1442,   2047,   2379,
    3812,   5246,   5629,   5571,
    4676,   3322,   3269,   2726,
    2278,    950,   -532,  -2087,
   -2750,  -2595,  -2906,  -2530,
   -3065,  -2741,  -2549,  -2046,
   -1170,   -697,   -164,    499,
    1176,   1565,   2046,   1608,
    1373,    646,    965,   1501,
    2334,   3013,   2352,   2039,
     966,    610,    397,    510,
     408,    -31,   -623,   -353,
      76,   -539,   -943,  -3102,
   -4419,  -4578,  -3684,  -1733,
     279,   1072,    425,   -380,
   -2548,  -3040,  -3037,  -2929,
   -1951,  -1734,  -1034,   -813,
    -529,    190,    -70,   -292,
    -873,  -2033,  -2358,  -3045,
   -2543,  -1333,   -346,   1561,
    1965,   2075,   2062,   1832,
    1827,   1697,   1791,   1059,
    1416,   1449,    810,    448,
   -1568,  -2876,  -3563,  -4175,
   -3688,  -3572,  -2858,  -1785,
   -1486,      6,   1636,   2994,
    4393,   4795,   4663,   3557,
    2677,   1400,    327,    335,
     247,    539,   -612,  -1792,
   -3209,  -4449,  -3379,  -2679,
   -1707,  -1221,  -2296,  -3065,
   -3154,  -2860,  -1947,   -944,
    -540,   -327,   -131,    855,
    1436,   1885,   1717,   1459,
    1551,   1122,   1824,   1350,
    1789,   1961,   1845,   2206,
     806,    458,  -1527,  -2790,
   -3156,  -3185,  -1755,  -1131,
    -472,   -903,  -1245,  -1607,
   -1500,   -754,   -569,   -515,
    -611,  -1195,  -1306,   -477,
     529,   2268,   2194,   1337,
    -156,  -2467,  -3463,  -4000,
   -3616,  -3098,  -2808,  -3247,
   -3175,  -3124,  -3188,  -1143,
     193,   1388,   2169,   1762,
     681,   -904,  -1169,  -1217,
    -133,   1160,   1687,   1560,
     781,    520,   -545,  -1584,
   -1596,  -1978,  -2931,  -2457,
   -3189,  -3149,  -2407,  -3201,
   -2846,  -3779,  -3298,  -2627,
   -1053,    100,   -479,    475,
    -243,    472,    973,    880,
     798,   -524,  -1674,  -2309,
   -2110,  -1722,   -617,   -693,
   -1086,  -1567,  -2054,  -1614,
    -911,   -600,   -517,   -738,
   -1350,  -1752,  -2155,  -1825,
   -2017,  -1448,   -983,  -1311,
   -1233,  -1418,  -1499,  -1175,
   -1627,  -2530,  -2516,  -2921,
   -1865,  -1533,   -425,    423,
      44,   1034,    675,   1941,
    2107,   1841,    865,  -1089,
   -1702,  -2153,  -1501,  -1071,
    -765,  -2074,  -2277,  -2371,
   -3025,  -2257,  -2139,  -1806,
   -1568,  -1545,  -1246,  -1085,
    -310,    515,    -53,    350,
       8,    230,    634,    703,
    1309,    990,   2210,   2014,
    1731,    394,  -1023,  -1973,
   -2954,  -3379,  -4449,  -3908,
   -3780,  -1890,   -736,    211,
     628,    196,    752,    244,
     481,     38,     72,    377,
     899,   1305,   1779,   1468,
     959,     91,  -1455,  -2021,
   -3025,  -2906,  -3510,  -3393,
   -3524,  -3671,  -3119,  -3429,
   -2892,  -1803,  -1310,  -1225,
    -890,  -2233,  -2029,  -1593,
    -801,   1306,   2420,   2910,
    2974,   2215,   1668,   1653,
     901,   1630,    457,    258,
    -190,  -1454,  -1518,  -2594,
   -2216,  -2960,  -2837,  -2736,
   -2551,  -1994,  -1775,  -1149,
   -1033,   -545,   -487,   -697,
    -800,   -727,   -978,   -562,
    -428,    237,    797,    727,
     562,    157,    -47,   -629,
   -1360,  -2735,  -3748,  -4982,
   -5066,  -5376,  -5469,  -5277,
   -4622,  -2616,   -846,   1718,
    2771,   3870,   4127,   3596,
    3193,   2825,   2836,   2460,
    2108,   1281,    723,    187,
     421,   -380,  -1762,  -2708,
   -3818,  -4043,  -3794,  -3826,
   -3257,  -3128,  -3340,  -3057,
   -3282,  -2395,  -1908,   -935,
    -332,    704,   2467,   3782,
    5536,   5494,   4863,   3480,
    2303,   1260,    730,    157,
    -322,   -839,  -2073,  -2424,
   -3395,  -3950,  -4620,  -5277,
   -4845,  -3675,  -2475,   -576,
     295,    563,   1124,    189,
      84,   -483,   -804,  -1091,
   -1380,  -1279,  -1095,   -273,
     356,   1981,   2686,   3055,
    3337,   2824,   2087,    623,
    -606,  -2095,  -2881,  -2798,
   -2883,  -2642,  -2395,  -1843,
   -1480,   -842,    157,    839,
    1326,   1279,   1087,    331,
     243,    645,   1060,   1605,
    1239,    872,   1106,   1173,
    1917,   2268,   1033,    424,
   -1462,  -2604,  -2677,  -2906,
   -2332,  -2109,  -1279,   -868,
     243,   1313,   2593,   3508,
    3038,   2202,    104,  -1120,
   -1259,   -759,    -88,     34,
    -119,   -195,   -472,   -178,
     297,    677,   1401,   1750,
    2039,   1584,   1208,    390,
    -370,  -1512,  -2820,  -3123,
   -3620,  -3323,  -3453,  -3435,
   -3043,  -2691,  -1819,   -540,
     404,    533,    931,    121,
    -181,    160,    458,   1626,
    2272,   2737,   2725,   2630,
    1896,   1073,   -254,  -1364,
   -1111,  -1140,     60,    256,
    -212,   -752,  -2200,  -3008,
   -3048,  -2774,  -2062,  -1043,
   -1343,  -1178,  -1280,   -752,
     490,   1532,   2129,   2361,
    3187,   2476,   2768,   2011,
     368,   -557,  -1494,  -1970,
   -2106,  -1384,  -1247,   -553,
    -398,    119,    252,   -475,
    -830,  -1459,   -952,    223,
    1369,   2256,   2583,   2433,
    3069,   3062,   3470,   3278,
    2092,   1993,   1366,   1050,
     481,   -387,  -1973,  -3414,
   -4649,  -5149,  -4443,  -3095,
   -1487,   -605,    815,   1054,
    2020,   2861,   3144,   3256,
    1984,    736,  -1071,  -2167,
   -3710,  -3778,  -3878,  -3566,
   -1739,   -992,   1160,   2259,
    3171,   3255,   3017,   2565,
    1114,   1172,    534,    824,
     809,    652,    215,   -649,
    -836,  -2036,  -1507,   -440,
     219,   1436,   1515,    415,
     444,    565,    703,   1183,
     877,    851,    -71,   -784,
   -1652,  -2574,  -2929,  -3153,
   -2400,  -1646,   -465,   1099,
    2519,   3976,   4860,   4315,
    3545,   1993,    197,   -692,
   -1458,   -900,   -388,     31,
     576,     28,    -77,   -453,
    -998,   -554,   -821,   -647,
   -1076,  -2232,  -2796,  -3371,
   -2873,  -2613,  -1896,  -1769,
   -1583,  -1130,   -476,   2119,
    3499,   4834,   5221,   4448,
    3949,   3297,   2624,   1114,
    -593,  -2479,  -3463,  -3739,
   -3445,  -3452,  -3639,  -3735,
   -3873,  -2844,  -1940,   -544,
     152,    605,   1213,   1241,
    2078,   2661,   3126,   3233,
    3124,   2669,   2451,   2441,
    1957,   1678,    516,   -523,
   -1502,  -3046,  -3901,  -4203,
   -4586,  -4314,  -3934,  -4067,
   -3429,  -3008,  -2428,   -850,
      21,    757,   1563,   1301,
     943,    744,    667,   1165,
    1701,   1709,   1500,    126,
    -992,  -1133,  -2269,  -2097,
   -2423,  -2613,  -1818,  -1608,
    -289,    198,    756,   1023,
     979,    958,     79,   -168,
    -812,  -1129,  -1107,  -1164,
    -232,    -17,     97,    282,
    -594,   -382,   -108,    291,
     855,    200,   -264,  -1046,
   -1575,   -779,   -278,     64,
     453,   -134,   -564,   -989,
   -1002,   -922,   -904,  -1363,
   -2105,  -2059,  -2453,  -1771,
   -1082,    -28,   1126,   1738,
    2223,   1970,   1803,   1731,
    1510,    674,    152,  -1026,
    -505,    120,    725,   1626,
     391,    -26,  -1132,  -1048,
    -262,    705,   1589,   1329,
     846,   -703,  -1332,  -1879,
   -1786,  -1028,   -954,   -689,
    -254,   -588,   -286,   -140,
    -408,    272,    -85,    311,
     274,   -352,    -96,   -341,
    -199,   -526,  -1228,  -1388,
   -1666,  -1511,   -571,    707,
    2007,   2771,   3499,   3734,
    2908,   2208,   1247,     24,
   -1044,  -1927,  -1854,  -1648,
   -1032,  -1040,  -1626,  -1765,
   -2192,  -1856,  -1451,   -618,
   -1078,  -1344,   -740,   -489,
    1334,   2322,   3578,   3232,
    1443,    505,   -685,  -1041,
   -1504,  -2469,  -3928,  -5029,
   -5676,  -5291,  -3924,  -3197,
   -2182,  -1284,   -869,    477,
    1130,   1896,   2138,    989,
    1408,    733,   1221,   2050,
    1197,    667,   -842,  -1461,
   -1515,   -229,    466,    -68,
   -1166,  -3606,  -4418,  -4050,
   -2778,  -1590,   -633,  -1033,
   -1988,  -1957,  -2347,  -1059,
      86,   1240,   2759,   3144,
    3861,   3847,   3476,   2892,
    1713,    637,   -628,  -1404,
   -1956,  -2658,  -2718,  -2989,
   -2784,  -2244,  -1317,     12,
     178,    949,   1129,   1039,
    1211,    874,    364,   -845,
   -1535,  -2453,  -2477,  -1263,
     379,   1612,   2026,   1068,
    -792,  -1052,   -620,   1039,
    2614,   2907,   1673,    285,
    -594,  -1185,   -710,  -1199,
   -1042,  -1334,  -1367,  -1100,
   -1419,  -1303,  -2121,  -2087,
   -2591,  -2273,  -1428,   -983,
     588,   1308,   2050,   3147,
    4231,   4672,   4636,   3258,
    1160,   -843,  -2284,  -2154,
   -2227,  -1322,  -1257,  -1590,
   -1652,  -1773,  -1171,  -1151,
    -920,  -1791,  -2240,  -2332,
   -1741,   -523,    362,   1425,
    1811,   2218,   2105,   2688,
    1816,   1023,    327,  -1366,
   -1031,   -661,    305,   1061,
     209,  -1675,  -3163,  -4273,
   -3708,  -1786,   -538,    377,
    -236,  -1062,  -2197,  -2590,
   -2026,  -1771,  -1013,   -144,
     560,   1715,   2440,   2621,
    2231,    955,     39,   -585,
     439,   1036,   1800,   2067,
     754,    152,   -460,   -821,
   -1093,   -909,  -2298,  -2404,
   -2643,  -2138,   -465,   -655,
    -118,  -1849,  -2082,  -2479,
   -1622,     54,    219,   1737,
     671,   1002,   1135,   1510,
    1862,   1160,   1302,    634,
    1060,    652,    618,   -342,
   -1745,  -1754,  -2527,  -2313,
   -2677,  -3192,  -3032,  -3038,
   -2298,  -2072,  -1459,   -719,
    -182,   1031,   1587,   2717,
    3524,   3939,   4009,   3099,
    2242,    547,   -278,   -528,
    -702,   -306,   -113,   -217,
   -1225,  -2409,  -3446,  -4003,
   -3661,  -2928,  -2152,  -1453,
    -714,    -92,    593,    949,
     467,     25,   -201,     76,
     337,    422,    478,     19,
     307,    334,    453,    867,
     769,    802,    302,   -279,
   -1050,  -1676,  -2061,  -1773,
   -1162,   -923,   -457,   -724,
    -741,   -749,   -689,   -119,
    -649,  -1492,  -2140,  -2303,
   -1217,    156,    927,   1299,
     625,   -256,     -4,    638,
    1675,   2182,   1646,    356,
   -1203,  -1936,  -2532,  -2928,
   -3130,  -3256,  -2917,  -1968,
    -508,    179,    299,    106,
    -562,  -1059,  -1230,  -1521,
   -2050,  -2504,  -2510,  -2001,
   -1161,    346,   1116,    998,
     873,    -12,   -164,   1036,
    1665,   2226,   1788,   -773,
   -1954,  -2759,  -2950,  -1680,
   -2151,  -2648,  -3293,  -3809,
   -3589,  -3486,  -3110,  -3273,
   -2834,  -1790,   -365,   1744,
    3186,   3448,   3186,   1630,
     692,    492,    151,    872,
    -777,  -1734,  -2912,  -4462,
   -3420,  -3438,  -1904,  -1041,
    -708,      1,   -452,   -112,
     -46,   -153,   -861,  -1695,
   -2786,  -2889,  -2666,  -2083,
    -743,   -709,   -579,  -1202,
   -1971,  -2736,  -2782,  -1826,
   -1228,      0,    649,     66,
    -449,  -1242,  -2287,  -1594,
   -1241,   -891,    645,    581,
     833,   1380,    458,   1048,
    1541,   1230,   1764,    452,
    -750,  -1632,  -2418,  -2188,
   -1703,   -810,   -708,   -567,
   -1109,   -810,     92,    481,
    1463,    662,   -365,   -995,
   -1400,   -878,   -590,   -290,
    -600,  -1063,   -953,   -827,
    -312,    475,    696,    763,
     664,   -339,   -846,  -1622,
   -2472,  -2802,  -3288,  -2944,
   -2452,  -1538,  -1575,  -1693,
   -2395,  -3568,  -2836,  -2446,
    -656,   1343,   2292,   2658,
    2048,   1036,    331,     77,
    -753,  -1039,  -1509,  -1435,
    -954,   -232,   -146,   -497,
    -739,  -1979,  -1714,  -1308,
    -631,   -145,   -446,  -1412,
   -2805,  -3035,  -3259,  -2740,
   -2489,  -1650,   -788,   -543,
     599,   1123,   2142,   2849,
    2449,    919,  -1627,  -3367,
   -4328,  -3350,  -1262,    216,
    1062,    495,   -495,  -1225,
   -1623,  -1646,  -1977,  -2147,
   -1391,    509,   3004,   4817,
    4942,   3701,   1979,    656,
     891,    788,    357,   -286,
   -2213,  -2281,  -2399,  -1632,
   -1211,  -2653,  -2915,  -4183,
   -2723,  -1185,     37,   1734,
    1027,    946,    188,     46,
    -123,    246,    320,   -236,
     437,    839,   1700,   2244,
    2773,   2439,   2143,   1200,
     -96,  -1253,  -3220,  -3578,
   -3927,  -3512,  -2770,  -2765,
   -2556,  -3004,  -2201,   -150,
    1278,   3401,   4145,   3008,
    1884,   -587,  -2184,  -3138,
   -3460,  -3007,  -2753,  -1987,
   -1205,    281,   1304,   1825,
    1620,   1632,   2190,   2457,
    3340,   2684,   1285,    -33,
   -1970,  -2866,  -2935,  -3060,
   -2486,  -2609,  -3269,  -3175,
   -3429,  -2362,   -525,    595,
    1372,   1267,    788,    899,
    1539,   2101,   2289,   1871,
     911,   -504,  -1354,  -1589,
   -1160,   -460,     62,    369,
    -599,  -1500,  -1795,  -1770,
   -1089,    203,    679,    816,
     645,    -80,    121,   -171,
     722,    908,    306,    615,
    -518,   -399,   -324,   -538,
    -558,  -1224,   -904,   -727,
    -436,   -202,   -120,   -294,
     -56,   1076,   1778,   2757,
    2715,   1734,    758,   -547,
   -1474,  -2220,  -3534,  -4673,
   -4752,  -3940,  -1557,   1024,
    3168,   4457,   4629,   4033,
    3085,   2357,   1259,    525,
    -637,  -1687,  -2863,  -3285,
   -2596,  -1398,    294,   1098,
    1420,    803,    896,    172,
     383,   1163,    574,    522,
    -703,   -938,  -1257,  -1162,
    -649,  -1289,  -1527,  -1518,
   -1521,  -1041,   -167,     23,
    1090,   2628,   3639,   3791,
    3236,   1548,   -557,  -1741,
   -2181,  -1705,   -863,     -4,
     -24,   -251,   -857,  -1379,
   -2038,  -2425,  -2360,  -1763,
    -346,    948,   2383,   1980,
    2377,   2171,   2354,   3825,
    3235,   3234,   1164,   -656,
   -1805,  -3147,  -2824,  -3100,
   -2474,  -2193,  -1223,   -185,
     121,   1446,   1187,   1764,
    2281,   2228,   3003,   2010,
    1176,    107,  -1161,  -1097,
   -1731,  -2152,  -2359,  -3243,
   -2606,  -1614,   -434,   1025,
    1952,   2663,   3015,   4277,
    4630,   4802,   4347,   2611,
    1085,   -363,  -1212,  -2067,
   -1945,  -2448,  -2490,  -1855,
   -1745,   -152,   1334,   2655,
    4135,   4479,   4055,   2945,
     989,   -127,   -682,   -676,
     269,   1264,   2114,   2426,
    2027,   1144,    220,   -642,
   -1213,  -1281,   -878,   -751,
    -275,   -115,   -404,   -963,
   -1100,   -592,   -111,   1673,
    2241,   3161,   2916,   1437,
     629,  -1274,  -1037,   -478,
     162,    117,   -810,  -1325,
   -1888,   -768,    676,   2173,
    3121,   2986,   2405,   1967,
    1603,   1156,    692,   -246,
   -1285,  -1936,  -1484,  -1153,
    -535,    645,    814,   1447,
    2035,   1658,   1894,   1278,
     835,    704,   -357,    298,
     237,    -23,    811,    815,
     765,    952,   1054,    970,
    1691,   1792,   1916,   1409,
     725,    153,  -1036,   -606,
   -1240,  -1337,  -1829,  -2175,
   -1267,   -688,    828,   1863,
    2780,   2672,   2928,   2311,
    2480,   3115,   2920,   3570,
    2717,   2578,   1784,   1897,
    1564,    396,   -267,  -2052,
   -2994,  -3653,  -3215,  -2875,
   -1870,   -795,    581,   2288,
    3400,   4580,   4195,   3378,
    2339,   1683,   1215,   1478,
    1660,   1424,    927,    185,
     419,    751,   1782,   2382,
    2176,   1126,    371,     69,
     309,   1328,   1474,    840,
    -596,  -1226,  -1100,    116,
    1520,   2013,   1209,   -514,
   -1835,  -2835,  -1684,   -387,
     715,   1289,    662,    640,
     757,   1469,   1958,   2188,
    2287,   1802,   1646,   1170,
     556,    472,   -538,  -1001,
   -1053,  -1409,   -746,   -495,
    -328,   -662,   -702,   -864,
   -1290,   -749,   -341,    509,
     918,   1625,   1614,   1017,
    1303,    661,    515,    492,
     -73,   -296,  -1149,  -1643,
   -1233,   -233,   1019,   1735,
    1791,    724,    102,   -649,
    -924,   -361,   -762,   -537,
    -176,    -36,    816,   1716,
    1534,   1697,   1227,    329,
     130,   -646,  -1357,  -2107,
   -2446,  -2085,   -783,   -110,
     508,    274,   -331,   -468,
    -598,    362,   1068,   1907,
    1655,   2246,   1870,   2025,
    2216,    712,    655,   -805,
    -874,  -1234,  -1542,  -1406,
   -1397,   -588,   -150,    597,
     192,   -279,   -884,  -1270,
   -1041,    -86,    211,    849,
     698,     12,    336,    -77,
     576,    478,    868,   1221,
    1575,   1580,    816,    355,
   -1041,  -1178,  -1455,  -1598,
   -1465,  -1154,   -578,   -173,
     321,    250,    429,    391,
     863,   1397,   1488,   1884,
    1356,    933,    839,    661,
     889,    273,   -212,   -902,
   -1067,    -68,   1027,   2389,
    2502,   1814,    655,   -251,
    -245,    114,    651,    417,
    -858,  -1604,  -2699,  -3563,
   -2522,  -2018,  -1062,    106,
     404,   1137,   1771,   2020,
    2437,   1976,   1686,   1357,
     702,    934,    250,    238,
    -591,  -1340,  -1394,  -1822,
   -1158,   -847,   -106,    140,
     581,    829,   1079,   1358,
     991,   1075,    261,    306,
     769,   1114,   1451,    613,
    -658,  -2052,  -2688,  -2477,
   -2238,  -2037,  -2122,  -2179,
   -1836,   -557,   1088,   2392,
    3598,   2923,   2184,   1739,
     608,    556,   -149,  -1632,
   -2753,  -3249,  -3369,  -2487,
    -718,    112,   1215,   1876,
    2187,   2404,   1779,   2072,
    1298,    696,    333,   -982,
   -1000,  -1350,  -1047,  -1000,
   -1215,  -1904,  -3120,  -2832,
   -3409,  -2097,   -813,   -381,
     711,    244,    434,    382,
    1162,   2091,   2358,   3200,
    2805,   2561,   2465,   1300,
     413,    -93,   -811,   -281,
       0,    593,    666,   -387,
    -750,  -2680,  -2946,  -2441,
   -1716,    169,   1282,   2123,
    1879,   1612,    643,   -253,
    -847,  -1636,  -1855,  -1870,
   -1681,  -1179,   -652,   -144,
     266,    -68,     16,   -211,
    -191,     43,    546,   1299,
    1928,   2933,   3504,   3451,
    2042,    990,   -968,  -2274,
   -2785,  -3231,  -2242,  -2124,
   -1392,  -1183,  -1013,    -62,
    1177,   2605,   3838,   4149,
    3183,   2573,   1376,    883,
    -136,  -1426,  -2297,  -3833,
   -3719,  -2930,  -1987,  -1011,
    -862,  -1567,  -2402,  -2437,
   -1680,   -545,    716,   1699,
    1647,   1713,   1979,   2230,
    2599,   2843,   2816,   2068,
    1762,   1468,   1684,   1910,
    1324,    982,   -200,  -1047,
   -1674,  -2682,  -3195,  -3825,
   -4601,  -4586,  -4786,  -4618,
   -3277,  -2313,   -272,    913,
    1497,   2087,   1584,   2059,
    2564,   3436,   4395,   4387,
    3638,   2305,   1378,    965,
     181,   -294,  -1828,  -3929,
   -4654,  -5184,  -3960,  -2572,
   -1230,   -100,   -357,   -591,
    -942,   -382,    473,   1292,
    1657,   1666,   1227,    649,
     902,   1022,   1076,    746,
      76,  -1273,  -2289,  -2843,
   -3032,  -2415,  -2270,  -1253,
    -410,    389,   1752,   2272,
    2410,   1804,   1023,   -560,
   -1627,  -2114,  -2614,  -2158,
   -1687,   -555,    244,   1285,
    1818,   1772,   2226,   2418,
    2310,   2138,   2319,   1412,
     994,     80,  -1279,  -2336,
   -3595,  -4564,  -4673,  -3745,
   -3265,  -1440,  -1655,  -1581,
    -913,  -1073,    394,    303,
    1481,   1959,   2109,   2602,
    1961,   1900,   1243,   1300,
    1254,   1642,   1890,   1166,
     711,   -617,  -1467,  -1383,
   -1771,  -1485,  -1629,  -2318,
   -2699,  -3236,  -3137,  -2639,
   -1393,   -681,    252,    533,
     113,    607,    915,   1850,
    2720,   3713,   3572,   3782,
    3976,   3099,   2994,   1397,
    -888,  -3248,  -5177,  -5680,
   -4624,  -3137,  -2188,  -1823,
   -2111,  -2191,  -2027,  -1646,
   -1526,  -1557,  -1717,  -1048,
    -232,   1284,   2724,   3066,
    3738,   2664,   1693,    459,
    -556,  -1122,  -2177,  -2488,
   -3670,  -3104,  -2256,  -1072,
     716,    910,   1348,    833,
     565,    275,   -216,   -584,
   -1401,  -1471,  -2396,  -2764,
   -3167,  -4341,  -4182,  -4459,
   -3855,  -2434,  -1387,    254,
    1382,   2236,   2170,   2069,
    2011,   1778,   1948,   1385,
     709,   -729,  -1738,  -2694,
   -2745,  -1942,  -1932,  -1217,
   -2644,  -4138,  -4965,  -6145,
   -5267,  -4204,  -3079,  -1959,
   -1202,   -348,    562,   2415,
    3588,   4355,   5025,   4107,
    3518,   1815,   -379,  -1998,
   -4379,  -5293,  -5558,  -5595,
   -4981,  -4313,  -3396,  -2480,
   -1252,   -267,    535,   1456,
    1434,   2327,   2911,   2953,
    2823,    977,    313,  -1304,
   -2386,  -2679,  -3345,  -3141,
   -3072,  -1868,  -1417,   -848,
    -507,   -490,   -850,   -683,
      55,    123,    863,    423,
     422,     53,    194,    499,
    -381,   -732,  -2044,  -2589,
   -2113,  -1585,   -582,    302,
     422,    164,   -304,   -626,
    -708,   -624,   -877,  -1658,
   -2390,  -3730,  -4309,  -4318,
   -4337,  -3249,  -2576,  -2207,
   -1469,  -1380,   -936,   -556,
    -883,  -1985,  -2621,  -2485,
   -1982,    -28,   1195,   2009,
    2557,   2906,   2800,   1997,
     794,  -1647,  -3960,  -6433,
   -7770,  -7389,  -6082,  -4613,
   -3433,  -2541,  -2304,  -2105,
    -916,    831,   1837,   2951,
    2815,   1870,   1071,   -387,
    -958,  -1345,  -1884,  -1890,
   -2616,  -3223,  -3952,  -4376,
   -3634,  -2990,  -1688,   -637,
    -334,     51,    222,   -117,
      44,   -416,   -917,  -1362,
   -2139,  -2301,  -2952,  -2824,
   -2738,  -1441,   -668,    481,
    1266,    569,    924,   -168,
      95,    160,    312,    751,
    1028,    876,    614,    480,
   -1210,  -2099,  -3424,  -4208,
   -4726,  -3574,  -3007,  -2221,
   -1155,  -1365,    246,    648,
    1804,   1945,   1474,   1272,
     594,    551,    371,    399,
    -265,   -835,  -1067,  -1441,
   -1536,  -1315,  -2114,  -2464,
   -3548,  -4327,  -4284,  -4025,
   -2704,  -1752,   -411,    -23,
     203,   -186,   -208,     93,
     476,   1057,   1256,   1173,
     124,   -188,  -1502,  -1825,
   -2220,  -3034,  -2778,  -2830,
   -2436,  -1657,   -460,     85,
     656,    688,    590,   -126,
    -704,  -1030,  -1858,  -1624,
   -1788,  -1154,  -1000,   -929,
    -200,   -673,   -660,  -1054,
   -1908,  -2561,  -3162,  -3295,
   -3060,  -2025,   -941,   -521,
    -186,   -116,   -692,   -451,
    -424,   -395,   -286,  -1070,
   -1170,  -1799,  -1375,  -1365,
   -1216,  -1021,  -2197,  -2052,
   -2795,  -2080,  -1932,  -2169,
   -1839,  -2033,   -567,    334,
    1440,   1609,    922,   -277,
   -1152,  -1822,  -2260,  -2116,
   -2775,  -2657,  -2967,  -2259,
   -1757,  -1706,  -1184,  -1590,
   -1780,  -1832,  -1837,  -2258,
   -1574,  -1142,   -602,    657,
     929,   1664,   1675,   1615,
    1313,   -147,  -1102,  -2489,
   -3514,  -3690,  -4027,  -3117,
   -2572,  -2259,  -1162,  -1176,
    -958,   -478,    294,   1107,
    1110,    582,   -577,  -1235,
   -1617,  -1571,  -1832,  -2243,
   -2045,  -2142,  -1871,  -1060,
    -396,   -203,    468,    736,
     465,    684,    662,    387,
     170,    473,    635,   1119,
    1459,    966,    145,  -1498,
   -2243,  -2909,  -2850,  -1798,
   -2058,  -1027,   -682,   -926,
    -517,   -651,    -14,    195,
     861,    348,     -2,   -107,
    -611,    241,   -139,    139,
    -131,   -682,  -1230,  -1654,
   -1842,  -1941,   -756,  -1452,
   -1188,  -1456,  -2134,  -2012,
   -2579,  -2293,  -2327,  -1842,
   -1533,   -785,    594,   1735,
    2665,   3458,   3366,   2653,
    1154,   -819,  -2065,  -3404,
   -2764,  -2243,  -1335,   -706,
   -1098,   -888,   -982,   -691,
   -1116,  -1031,  -1009,   -514,
      55,    517,    369,    146,
     237,   -453,   -371,  -1208,
   -1580,  -3155,  -3407,  -2914,
   -2594,   -689,    329,   2166,
    2615,   3315,   2839,   2128,
    1447,    261,    444,   -698,
   -1162,  -1948,  -2601,  -2982,
   -2960,  -2498,  -2344,  -1907,
   -1831,  -2092,  -1272,   -160,
     221,   1662,   1140,    937,
     821,    306,    895,    165,
    -226,   -795,  -1070,  -1110,
    -764,   -567,     39,    616,
     611,   1524,    603,    193,
      35,   -932,   -982,  -1274,
    -509,    189,    804,   1774,
    1744,   2175,   2179,   1546,
    1121,    218,   -894,  -1178,
   -1549,  -2008,  -1378,  -1106,
    -455,    394,    514,    145,
    -240,   -885,   -562,    139,
     117,   1356,    864,    422,
     488,   -406,   -506,   -348,
     311,    728,    963,   1137,
     545,   -508,   -507,   -942,
   -1055,  -1202,  -1911,  -1970,
   -1755,   -250,    111,    968,
    1160,    471,    892,    976,
    1593,   2024,   2410,   1983,
    1571,   1073,    421,     57,
   -1026,  -1640,  -1944,  -2046,
   -1375,   -725,  -1014,  -1716,
   -2353,  -2793,  -2253,   -364,
    1220,   3090,   4197,   4222,
    4304,   3765,   3859,   2784,
    1844,    538,   -723,   -798,
    -802,    148,   -253,   -229,
    -724,   -983,   -255,   -177,
     739,   1193,   1537,   1715,
    1337,    270,   -342,  -1282,
   -1662,  -1169,  -1039,    414,
    1088,   2546,   3556,   3133,
    3258,   2012,   1199,   1116,
     850,    601,    158,    -89,
    -658,  -1097,  -1043,   -838,
    -801,   -789,   -664,  -1157,
    -583,     25,    435,   1138,
    1501,   2483,   2161,   2680,
    2703,   1722,   1877,   1020,
     357,   -286,  -1375,  -2141,
   -2431,  -2642,  -2102,  -1320,
    -836,    203,   1195,   1902,
    2765,   2799,   2042,   1714,
     906,   1245,   1327,    731,
     293,  -1238,  -2186,  -1863,
   -1083,     21,   1453,   1102,
     824,    177,   -662,   -388,
    -979,   -874,  -1025,  -1287,
    -452,    198,    988,   2180,
    2689,   3047,   3374,   3554,
    2989,   2491,   1512,   -190,
   -1129,  -2700,  -3252,  -4033,
   -3952,  -3911,  -4111,  -3357,
   -3942,  -2865,  -2356,  -1708,
    -381,   -270,     68,    255,
     783,   1968,   2926,   3738,
    3899,   3681,   4094,   3623,
    3512,   2889,   2101,   1288,
     -58,   -821,  -1845,  -1934,
   -1718,  -1612,  -1716,  -1924,
   -2545,  -2476,  -2019,  -1825,
   -1061,   -597,     61,    843,
    1861,   2239,   2613,   2249,
    1534,   1454,   1287,   1824,
    1776,   1600,   1091,    124,
    -389,  -1201,  -1695,  -1397,
   -1457,   -820,    241,    952,
    2131,   2844,   2942,   2390,
    1172,   -558,  -2027,  -2852,
   -3335,  -3323,  -2400,  -1900,
    -912,    587,    933,   2018,
    2141,   2179,   2132,   1352,
     796,   -125,   -283,   -711,
    -627,    -93,    266,    285,
     345,    464,    155,    695,
    1409,   1895,   2157,   2357,
    1465,    714,   -370,  -2218,
   -3103,  -4706,  -4725,  -4234,
   -3494,  -1487,   -374,    746,
    1144,   1754,   2173,   2365,
    2727,   2572,   2519,   2523,
    3465,   3961,   4414,   4383,
    3250,   1886,     78,  -1197,
   -2215,  -2922,  -3920,  -5272,
   -6053,  -6078,  -5483,  -3682,
   -2060,   -889,    668,   1287,
    1462,   1550,   1270,   -372,
    -769,  -1444,  -1616,    -17,
     299,   2328,   2729,   3062,
    3012,   1980,   2056,    602,
     128,  -1369,  -2713,  -3668,
   -4254,  -4174,  -4317,  -3841,
   -4055,  -4086,  -4549,  -3640,
   -2576,  -1238,    288,    804,
    1457,    903,    989,    829,
     261,   -231,  -1113,  -1988,
   -2426,  -2468,  -2100,  -1436,
   -1693,  -1713,  -2322,  -2641,
   -2181,  -1778,   -911,      1,
     862,   1240,   2024,   2388,
    2422,   2570,   1642,    683,
    -425,   -717,   -933,  -1372,
    -697,  -1511,  -1471,  -1169,
   -1172,   -482,   -991,   -706,
    -899,   -362,     69,    196,
     988,    515,    614,     79,
    -156,    -22,   -322,      9,
      61,    372,    342,     31,
     330,      4,      9,    345,
     321,    631,    353,   -162,
    -267,   -125,   -183,    612,
     518,   -181,    -90,   -853,
    -973,  -1437,  -1967,  -2384,
   -2951,  -2841,  -2521,  -2345,
   -1833,  -1216,  -1402,  -1097,
   -1187,   -923,   -156,      1,
     119,   -459,  -1347,  -1329,
   -1155,   -421,    728,    889,
     898,    227,   -104,   -713,
    -898,  -1204,  -2568,  -2840,
   -3748,  -3357,  -2366,  -1923,
   -1444,  -2169,  -2564,  -2691,
   -2032,   -948,   -872,   -762,
   -1531,  -2232,  -1811,  -1548,
    -613,   -163,    261,    622,
     400,    778,    647,    284,
    -203,  -1232,  -1847,  -1936,
   -1675,  -1350,  -2202,  -2852,
   -3989,  -5055,  -4371,  -4208,
   -2999,  -1840,  -1642,   -939,
   -1259,  -1102,   -845,   -994,
    -525,  -1381,  -1968,  -2199,
   -2237,  -1442,   -988,   -626,
   -1029,  -1052,  -1565,  -1960,
   -1846,  -2332,  -1884,  -1073,
    -579,    264,   1102,   1047,
     800,   -262,  -1614,  -3308,
   -4080,  -4825,  -5605,  -5241,
   -5589,  -4471,  -3908,  -2424,
   -1241,   -392,   1457,   1148,
    1531,    948,   -248,  -1210,
   -1912,  -2242,  -1685,   -583,
     137,    972,    816,    807,
     146,   -112,   -848,  -1194,
   -1864,  -2851,  -3066,  -4115,
   -3617,  -3924,  -2874,  -2016,
   -1871,  -1020,   -904,    184,
     594,   1710,   1853,   1996,
    1963,    945,    536,   -320,
    -414,  -1047,  -1471,  -1718,
   -2178,  -1762,  -1247,   -811,
    -395,   -426,   -920,  -1924,
   -2771,  -3288,  -3571,  -2808,
   -2135,  -1645,  -1340,  -1028,
    -723,    -53,    356,    379,
     -10,   -694,  -1030,  -2016,
   -1551,  -1732,  -1359,   -800,
   -1079,   -530,   -725,     15,
    -163,   -413,  -1251,  -2149,
   -1920,  -1924,  -1707,  -1792,
   -1753,  -1985,  -1064,   -896,
    -782,   -294,   -988,  -1203,
   -2056,  -2372,  -2142,  -1834,
    -587,     19,    467,    223,
    -814,  -1474,  -3109,  -3423,
   -3305,  -3244,  -2037,  -1760,
   -1317,   -867,   -656,   -637,
   -1006,  -1623,  -2634,  -3390,
   -3551,  -3249,  -1869,   -834,
    -122,    338,   -668,  -1277,
   -2036,  -2307,  -2197,  -1903,
   -1713,  -1352,  -1217,  -1805,
   -1423,  -1232,   -355,     89,
     384,    426,   -425,  -1128,
   -1463,  -1897,  -1908,  -1423,
   -1939,  -1565,  -1956,  -2008,
   -2106,  -2133,  -1956,  -2286,
   -1876,  -2495,  -1858,  -1898,
   -1691,  -1033,  -1038,   -255,
     489,   1487,   1957,   2194,
    1592,   1129,    963,    831,
     669,    -18,  -1371,  -2722,
   -3811,  -4401,  -3638,  -3008,
   -1316,   -429,      7,    735,
     451,   1506,   1782,   1914,
    1998,   1298,   1147,   -194,
    -747,  -1376,  -2460,  -1991,
   -1608,   -785,    -11,    766,
     973,    612,    -73,  -1549,
   -2311,  -3009,  -3219,  -3313,
   -3563,  -3643,  -3616,  -3356,
   -3104,  -2310,  -1450,   -227,
    1216,   2214,   2819,   2956,
    2966,   2515,   2129,   1742,
     432,   -778,  -2317,  -3802,
   -4484,  -4256,  -3711,  -2978,
   -2528,  -3056,  -2650,  -2712,
   -1965,   -752,     25,    319,
    -262,   -194,   -266,   1260,
    2276,   2876,   2650,   1308,
     740,    157,    109,   -457,
    -876,  -2475,  -3346,  -3556,
   -3721,  -2134,  -1342,   -395,
    -608,   -919,   -809,  -1513,
    -671,   -887,  -1236,  -1361,
   -1940,  -1259,  -1125,    -10,
     322,    659,   1251,   1214,
    1888,   1602,   2590,   2278,
    2228,   1476,   -182,   -558,
   -1713,   -978,  -1581,  -1455,
   -1751,  -3204,  -2985,  -3310,
   -2413,  -1487,   -602,   -608,
    -452,     95,    451,   1921,
    2032,   2246,   1807,   1014,
     956,    405,    548,     18,
    -601,  -1204,  -1946,  -1824,
   -1177,   -471,   -244,   -179,
    -509,   -773,   -860,   -676,
   -1152,  -1495,  -1491,  -1547,
    -327,    872,   2066,   2437,
    2179,   1915,   1127,   1084,
     708,   -180,   -450,  -1792,
   -2318,  -2519,  -2578,  -1584,
   -1408,   -110,    -36,    555,
     595,    316,    683,   -320,
     219,   -411,      0,    176,
     -58,     62,   -117,    249,
     294,   1005,   1156,   1078,
     117,    276,   -270,   -447,
     -73,   -860,   -905,  -1769,
   -1783,  -1630,  -1240,   -589,
      94,    576,    497,    435,
     135,    100,    965,   1140,
    1419,   1843,    942,    582,
    -419,   -257,   -200,    220,
     910,    227,   -260,  -1103,
   -1779,  -1972,  -1500,  -1906,
   -1313,  -1077,   -565,    -73,
     295,   1150,    997,   1181,
     565,    380,   -256,   -281,
    -571,   -483,   -523,    -37,
    1282,   1781,   2777,   2172,
    1800,    245,   -698,  -1525,
   -1681,  -1406,  -1634,  -1049,
   -1889,  -1700,  -1520,  -1012,
    -180,    951,   1058,    951,
     860,    647,    983,    863,
    1609,   1205,    991,    569,
    -219,   -606,   -740,   -415,
    -238,   -541,   -782,  -1434,
   -1384,   -927,   -759,    202,
    -210,     32,   -784,   -621,
    -943,   -815,    447,   -110,
    1338,   1227,   1685,   1239,
     722,    307,   -819,   -139,
     -86,    659,   1205,    741,
      28,   -172,   -803,  -1003,
   -1250,  -1094,  -1443,  -1915,
   -1841,  -2357,  -1486,   -681,
     527,   1340,   1890,   2243,
    2077,   1882,   1632,    974,
     872,    119,   -981,  -1079,
   -2222,  -1916,  -1990,  -1862,
   -1569,  -1310,   -812,   -370,
     850,   1570,   1923,   1408,
     927,    -91,     86,     25,
     118,     39,   -832,  -1447,
   -1944,  -1499,  -1566,   -555,
    -371,    157,    530,    457,
     867,    896,   1278,   1249,
    1231,    905,    487,   -230,
    -687,  -1510,  -1656,  -1730,
   -1351,   -508,    -31,    656,
     932,   1398,   1026,    810,
     221,   -273,   -522,   -617,
   -1023,   -976,   -868,  -1032,
     -22,   -156,    282,    579,
     452,    810,    645,    957,
    1427,    552,    664,    -37,
    -817,   -351,  -1272,   -923,
   -1588,  -1478,   -982,   -860,
    -822,   -837,   -921,  -1731,
   -1112,  -1488,   -943,   -377,
     503,    732,   1464,   2310,
    1609,   2779,   2658,   2489,
    2342,   1848,    719,   -531,
   -1159,  -2135,  -2220,  -1837,
   -1525,  -1056,   -697,   -571,
    -779,  -1009,   -963,  -1635,
   -1355,  -1126,   -232,    573,
    1104,   1679,   1869,   2367,
    2125,   3203,   2801,   2781,
    1846,    587,   -145,  -1204,
    -850,  -1435,   -741,  -1475,
    -975,   -712,   -668,    606,
      75,     77,   -833,  -1288,
   -1623,   -973,   -199,    652,
    1471,   1191,   1511,   1167,
    1456,   2151,   2508,   2652,
    1990,    672,   -209,   -765,
   -1204,  -1562,  -1423,  -1682,
   -1980,  -1599,  -1784,   -646,
    -356,    192,    813,    678,
    2006,   2287,   2735,   2327,
     982,    199,   -492,   -187,
     362,    568,    761,     80,
    -969,  -1221,  -2156,  -1746,
   -1163,  -1264,   -750,  -1262,
   -1109,   -935,    -99,    819,
    1465,   1899,   1148,    905,
    -232,   -417,   -460,   -687,
    -140,     48,    991,   1076,
    1150,    534,    -33,   -469,
   -1217,   -771,  -1490,  -1421,
   -1645,  -1683,  -1395,  -1729,
    -910,  -1014,    176,   1023,
    1981,   2430,   1732,   1411,
       0,    390,    -11,    417,
     365,   -234,    260,   -551,
     430,    476,     -3,   -180,
   -1065,  -1389,   -950,   -793,
    -270,   -383,  -1405,  -1391,
   -1670,   -528,    461,   1530,
    2291,   1993,   1956,   1274,
     653,    559,    183,   -648,
    -431,  -1052,  -1177,  -1022,
   -1370,  -1485,  -1412,  -1440,
   -1147,    -71,    265,   1761,
    1764,   2282,   2105,   1366,
    1557,   -115,    263,  -1083,
   -1626,  -1235,  -1972,  -1267,
   -1114,   -454,   -679,   -115,
     243,    100,    808,    317,
     459,    227,    711,    924,
     822,   1147,    -38,    370,
     294,    734,   1395,    830,
     986,    466,    447,    462,
     577,    582,    477,    -51,
    -680,  -1141,  -1276,   -924,
    -887,   -464,   -896,   -653,
    -421,   -165,    143,   -158,
    -343,   -890,  -1068,   -932,
    -450,   -509,    486,   1129,
    1553,   2548,   2719,   2508,
    1719,   1127,   -314,   -912,
   -1699,  -2146,  -1741,  -2188,
   -1377,  -1722,  -1959,  -1568,
   -1931,  -1251,   -951,   -925,
    -811,   -900,   -852,   -556,
     271,    783,   1014,   1449,
    1191,    993,    991,    103,
     -54,   -386,   -418,   -189,
    -332,   -411,  -1356,   -953,
   -1389,  -1043,   -172,   -999,
    -639,  -1366,  -1806,   -841,
    -428,    468,    746,   -453,
    -749,  -1513,  -1024,   -141,
    -275,    366,   -237,    184,
     213,    576,   1299,   1144,
    1108,    212,   -537,   -918,
    -717,   -216,    450,    417,
     788,    418,    313,    862,
     842,    954,    512,    151,
   -1187,  -1317,  -1356,  -1232,
     -20,    309,    786,   1272,
    1195,   1705,   1700,    927,
    1154,     66,     -1,    194,
     253,    953,   1049,   1275,
     886,    640,    215,    452,
     209,    549,    263,   -344,
    -427,  -1008,   -334,    -42,
    1275,   1643,   1566,   1326,
     109,     45,    255,    346,
     359,    188,   -822,   -858,
    -693,   -174,    285,    -55,
      97,   -605,   -689,   -554,
    -695,   -324,   -100,    276,
      34,    454,    554,   -149,
     339,   -281,     12,    327,
     406,   1544,   1671,   2429,
    2256,   1983,   1265,    407,
    -331,  -1478,  -1436,  -1936,
   -1646,  -1443,  -1159,   -297,
     250,   1136,   1888,   1859,
    1481,   1070,    356,    585,
     532,   1186,   1168,    747,
     665,   -710,   -365,   -760,
    -727,   -275,   -283,    581,
     333,   1131,    971,    571,
     897,    544,    665,    167,
     317,    136,     30,   -157,
   -1331,  -1044,  -1510,  -1356,
    -275,     42,   1289,   1479,
    1321,   1388,    741,    502,
     373,    239,    451,    733,
    1548,   2410,   2621,   2879,
    1853,   1045,    191,   -872,
    -861,  -1476,  -1117,   -687,
     -83,    316,    343,    890,
     537,    941,   1221,   1196,
    1593,   1675,   1937,   2086,
    2066,   2167,   1664,   1265,
     702,    145,    132,   -274,
     -98,   -257,    -21,     90,
       1,    624,    468,    334,
     263,    -99,   -311,     44,
    -173,    280,    553,    271,
     895,    892,    717,    358,
     362,    254,    426,    748,
     657,    956,    749,    719,
    1203,   1295,   1701,   1703,
     878,    872,     90,    105,
     293,   -175,    313,    -10,
     891,   1736,   2381,   3920,
    3775,   3170,   2090,    471,
    -306,   -935,   -513,   -221,
     135,   1089,   1066,   1792,
    1794,   1866,   1304,    -37,
    -370,  -1621,  -1873,  -1460,
   -1167,   -441,    415,    750,
    1192,   1579,   1555,   1522,
    1113,   1061,    318,    152,
     170,    168,    492,    146,
    -174,   -670,   -352,     66,
     528,   1554,   1563,   1313,
    1520,    646,    363,    111,
    -203,    174,    -90,    520,
     591,   1213,   1337,   1135,
    1423,    633,    897,    727,
     610,    413,     10,   -390,
    -555,   -398,   -306,    -55,
    -139,    124,    -34,    580,
     900,   1470,   2038,   1618,
    1303,    565,   -228,   -670,
     168,    628,   1825,   2319,
    2578,   2540,   1475,   2012,
    1301,    801,    516,   -320,
    -978,   -694,   -283,    -27,
     540,    187,   -208,   -727,
    -334,   -372,    618,   1530,
    1287,   1090,    102,    128,
     218,   1342,   2444,   3110,
    3834,   4091,   4756,   4742,
    4341,   3466,   1767,    180,
    -993,  -1604,  -1738,  -1106,
     -73,     31,    634,    225,
      94,    396,   -167,    588,
     346,   1006,   1731,   1976,
    2894,   2679,   2178,   1413,
     748,    508,    450,    646,
    1088,   1105,   1575,   1489,
    1224,    800,    -18,   -236,
    -375,     -3,   -207,    585,
     512,    585,   1349,    930,
    1362,    800,    291,   -581,
   -1192,  -1074,  -1224,   -145,
     594,   1291,   2324,   2677,
    3089,   2921,   2246,   2100,
    1237,    724,    670,    177,
       2,      3,    -14,   -110,
     496,    837,    703,    714,
      28,   -401,   -299,   -153,
     395,    560,    485,    693,
    1087,   1767,   2256,   2561,
    2664,   2331,   1952,   1181,
     283,   -150,   -975,  -1046,
    -881,   -934,   -243,    358,
     563,   1136,   1399,    808,
    1302,    498,    570,   1151,
     515,   1547,   1302,   1253,
    1485,   1317,   1360,   1634,
    1934,   2001,   1980,   1781,
    2131,   1999,   2360,   1681,
    1129,    683,   -127,     21,
      40,    258,    548,    544,
     420,   1056,    825,   1629,
    1697,   1708,   1705,    803,
    1281,    436,   1231,   1257,
    1242,   1348,    855,   1222,
     974,   1317,    984,    936,
     413,    570,    606,    846,
    1199,   1185,   1132,    329,
     497,   -142,    459,    463,
     279,    258,   -279,    161,
     -51,   1105,   2219,   2819,
    3508,   3706,   3341,   2876,
    2379,   1872,   1485,   1006,
     366,   -597,   -944,  -1796,
   -1794,  -1677,  -1534,   -891,
   -1105,    -97,     -8,    340,
    1158,   1018,   1713,   1672,
    2348,   2511,   2470,   2536,
    1763,   2012,   1261,    978,
     357,   -666,  -1515,  -2331,
   -2733,  -2993,  -1951,  -1711,
   -1082,   -454,   -251,    133,
    1510,   2385,   3331,   4600,
    3582,   2958,   1156,     36,
   -1016,  -1466,  -1433,  -1395,
    -434,   -575,    769,    483,
    1130,   1179,    645,   1175,
     161,    737,    504,    770,
    1351,   1660,   2195,   2524,
    2454,   1494,    561,  -1039,
   -1780,  -1835,  -1161,   -326,
     -99,   -148,   -691,   -837,
    -371,    623,   1543,   2288,
    2485,   2103,   1540,    800,
     326,     92,    141,    399,
     792,   1070,   1430,   1803,
    1593,   1729,   1460,   1221,
    1248,    430,    186,   -182,
    -931,   -895,  -1023,  -1468,
   -1136,  -1301,  -1245,   -666,
    -148,    714,    967,   1643,
    1542,   1398,   1298,    984,
    1278,   1014,   1325,   1287,
    1100,   1143,    955,    382,
     158,    165,    -54,    421,
    -112,   -471,   -811,  -1485,
   -1312,  -1444,   -805,    140,
     835,   1654,   1782,   1484,
     873,    784,    402,    125,
     439,   -279,   -302,   -631,
    -535,    258,    306,   1464,
    1631,   1567,   1766,   1026,
     629,   -514,  -1679,  -2596,
   -3434,  -3186,  -2845,  -2226,
   -1568,  -1033,   -485,    180,
     862,   1258,   2172,   2378,
    2779,   2674,   2152,   2204,
    1238,    772,    284,   -371,
    -615,   -607,   -729,   -702,
    -893,  -1457,  -1752,  -2517,
   -2720,  -2463,  -1878,  -1283,
    -259,    524,   1351,   2399,
    2601,   2482,   1667,    895,
     -72,   -483,   -969,   -935,
   -1097,  -1082,   -868,  -1138,
    -161,   -535,    541,   1045,
    1062,   1878,   1538,   1544,
    1015,   1187,    626,    856,
     534,   -319,    137,   -366,
      -8,     75,   -230,   -215,
    -673,   -454,   -286,   -469,
    -312,   -725,   -952,  -1349,
    -751,     45,    536,   1242,
     809,   1034,    930,   1534,
    1486,   1403,   1352,    415,
     178,   -777,  -1056,  -1730,
   -1601,  -1406,   -791,   -301,
    -744,   -502,  -1130,  -1101,
   -1205,  -1050,  -1235,  -1011,
    -603,   -458,    -41,    -41,
     613,    559,   1501,   1906,
    1559,    883,   -657,  -1531,
   -2431,  -2424,  -1605,  -1008,
    -670,   -114,   -362,    229,
     889,   1132,   1975,   1781,
    1625,   1392,    876,    315,
     271,   -568,   -678,  -1229,
   -1606,   -750,  -1541,   -601,
    -734,   -536,    298,    912,
    1129,    767,   1083,   -373,
     230,    110,    935,   2112,
    2805,   3586,   2444,   2446,
     744,    277,      5,   -332,
     -84,    -34,     21,    462,
    1672,   1785,   3419,   3231,
    2908,   2393,    441,   -527,
   -1927,  -2777,  -3050,  -3273,
   -2572,  -1963,  -1747,   -467,
    -685,    128,    602,    651,
    1621,   1811,   2785,   2627,
    2726,   2003,   1343,    776,
    -614,  -1395,  -2414,  -2757,
   -2286,  -1912,   -835,    191,
     675,   2014,   1305,   1468,
     887,   -894,  -1111,  -2607,
   -2789,  -3060,  -3628,  -3639,
   -3733,  -3377,  -2549,  -1712,
    -971,    -39,    304,    996,
    1475,   1830,   2593,   2573,
    2832,   3062,   2512,   2647,
    2048,   1680,   1430,    754,
    -205,  -1604,  -1856,  -2888,
   -2734,  -2359,  -2575,  -1951,
   -1807,  -1187,   -735,     61,
     518,    557,    509,     76,
     458,    411,    588,    226,
   -1008,  -1299,  -1655,  -1157,
     -86,    926,   1789,   2161,
    2666,   2952,   2924,   3489,
    3708,   3552,   3902,   2876,
    2655,   1815,    864,    600,
    -632,   -360,   -628,   -801,
    -838,  -1112,  -1402,  -1641,
   -1321,   -873,   -435,    681,
    1614,   1702,   2436,   1923,
    1825,   1282,    707,    382,
     -17,    140,   -163,    294,
      35,    298,    490,    439,
     177,     82,   -433,   -860,
    -716,  -1325,  -1030,  -1369,
    -812,   -552,   -700,   -199,
    -504,   -536,   -638,  -1140,
   -1218,  -1370,  -1341,   -891,
   -1189,  -1185,  -1413,  -1231,
    -911,   -381,     78,    473,
     973,   1023,   1504,   1246,
    1077,    943,    776,    695,
    1377,   1592,   1785,   1660,
    1416,   1736,   1243,   1756,
    1163,    513,   -427,  -1115,
   -1578,  -2296,  -2394,  -3063,
   -3135,  -2915,  -1869,   -773,
    1041,   2062,   2834,   3306,
    2742,   2866,   2189,   1897,
    1714,   1407,   1252,    677,
     386,    297,   -409,   -132,
    -288,   -267,    563,    503,
    1068,    977,   1002,   1127,
    1091,    936,    278,   -572,
    -872,  -1417,  -1814,  -1482,
   -2341,  -2470,  -2871,  -3062,
   -3236,  -3216,  -2586,  -2102,
    -650,    -39,   1118,   1418,
    1646,   2044,    911,   1061,
     226,   -274,     84,   -357,
     255,    334,    157,    239,
    -355,   -438,    -28,     12,
     828,    631,     43,    148,
    -707,   -247,   -243,   -507,
    -292,   -494,   -487,    164,
     733,   1316,   2207,   1907,
    1809,    246,   -718,  -1634,
   -1824,  -1583,  -1700,   -425,
   -1202,    176,    727,   1600,
    2861,   2514,   3046,   1803,
    1452,    668,    315,   -311,
   -1139,  -1674,  -2799,  -2652,
   -2803,  -2009,  -1374,   -556,
     252,    116,    825,    964,
    1248,   1432,   1392,   1387,
     784,   1390,   1427,   1764,
    2937,   3243,   3778,   3583,
    3527,   3569,   2902,   2585,
    1866,    771,     79,  -1344,
   -2268,  -2986,  -3929,  -3260,
   -2727,  -1969,   -715,     56,
    1009,   1237,    975,    599,
    -319,   -377,   -439,   -456,
    -363,   -468,   -957,   -983,
    -652,  -1259,     10,     86,
     968,   1877,   1225,   1728,
     830,    675,    -77,   -381,
    -519,  -1295,  -1494,  -1862,
   -1538,  -1053,   -590,   -181,
     -36,   -586,   -772,  -1099,
   -1241,  -1298,  -1302,  -1225,
    -648,   -345,     36,   1299,
    1359,   2434,   2366,   2083,
    2246,    977,    657,   -326,
   -1264,  -1098,  -1897,  -1748,
   -1372,  -1587,   -691,    -46,
    1142,   1601,   1987,   1717,
    1420,   1443,    720,    833,
     -27,   -464,   -834,   -888,
    -917,   -986,  -1475,  -1967,
   -2301,  -2373,  -1382,   -958,
     390,    382,    764,    704,
     401,    797,    163,    556,
     627,   1135,   1483,   1648,
    1403,    829,    487,     40,
    -254,   -377,   -890,  -1207,
   -1164,  -1908,  -1666,  -1993,
   -2255,  -1779,  -1895,  -1455,
    -656,    -84,    879,   2165,
    3211,   3744,   3489,   2908,
    1943,   1311,    838,    333,
    -140,   -320,  -1035,  -1225,
   -1392,  -2151,  -1713,  -2119,
   -1359,   -730,   -388,    794,
     634,    681,    492,    281,
     -21,   -109,   -351,  -1410,
   -1610,  -2107,  -2052,  -1515,
   -1582,  -1267,  -1424,  -1259,
   -1104,   -733,   -127,    997,
    1712,   1910,   2737,   2283,
    2862,   2517,   1679,   1106,
    -353,   -987,  -1305,  -1404,
   -1694,  -1854,  -2751,  -2880,
   -3428,  -3063,  -2442,  -2447,
   -1087,  -1029,   -122,    617,
    1359,   1977,   2238,   2289,
    1548,   1529,    737,    783,
     950,    612,    564,   -316,
    -996,  -1138,  -1270,  -1036,
    -727,   -524,   -630,  -1028,
   -1095,  -1199,   -950,   -440,
      33,    362,    421,    670,
     624,    497,    467,    135,
      42,   -251,   -471,   -736,
   -1123,  -1271,  -1107,   -739,
    -718,    233,    339,    763,
    1461,   1089,   1515,    925,
     995,    885,    275,    424,
    -511,   -515,   -697,   -906,
    -219,   -420,    385,    649,
     764,   1655,   1362,   1607,
    1450,    508,   -349,  -1196,
   -1724,  -2201,  -2351,  -2056,
   -1986,  -1374,   -719,   -489,
      68,    124,    516,   1142,
    1848,   1928,   1761,   1324,
     844,    806,    369,    238,
     -25,    324,    310,    640,
     500,   -172,   -456,  -1340,
   -1755,  -2269,  -2405,  -2606,
   -2227,  -1624,  -1185,   -257,
     216,    352,    835,    711,
    1094,   1607,   1433,   1955,
    1520,   2087,   2010,   1632,
    1785,   1115,    417,    432,
     195,   -789,    -32,  -1565,
   -1935,  -2070,  -2826,  -2200,
   -2620,  -1463,  -1206,   -175,
    1042,   1477,   2258,   2461,
    2694,   2681,   2563,   2205,
    1715,   1190,    803,    349,
     471,    491,    508,    106,
       3,   -225,   -408,     28,
    -278,    468,    155,    199,
     -88,  -1012,   -391,   -994,
    -658,   -323,    -97,    794,
     466,    690,    349,   -351,
    -489,   -695,   -952,  -1049,
    -389,   -242,   1050,   2048,
    2244,   2732,   1790,   1585,
    1141,    770,    969,    382,
     364,    403,    -75,   -179,
    -656,  -1053,   -955,  -1171,
    -305,    350,   1389,   2091,
    1760,   1836,    802,    714,
     511,    137,    117,   -987,
   -1478,  -2160,  -1908,  -1254,
    -324,    955,   1237,   2072,
    1772,   1468,   1239,    867,
     902,    243,    388,   -259,
   -1029,   -789,  -1063,  -1161,
    -777,  -1070,  -1059,  -1024,
   -1058,   -389,   -273,    268,
     944,   1295,   1952,   2685,
    2489,   2240,   1591,    695,
     586,    -81,   -529,   -638,
    -661,   -502,    249,    444,
    1100,   1451,   1487,   1516,
    1016,   1333,    520,   1073,
     645,    580,    854,    429,
     892,   -200,     75,   -946,
   -1103,   -910,  -1737,  -1738,
   -1990,  -1925,  -1892,   -810,
    -518,    634,    903,    482,
     790,    394,   1096,   1626,
    1852,   1379,    571,   -353,
   -1013,  -1370,  -1429,  -1211,
   -1730,  -1492,  -1213,  -1202,
    -559,   -680,   -809,  -1010,
   -1349,   -782,   -641,    112,
     551,    992,   1784,   2181,
    2698,   2668,   3014,   2489,
    2285,   1891,   1203,    685,
    -559,  -1160,  -1413,  -1181,
   -1153,   -709,   -668,   -516,
       5,     17,    280,    293,
     268,    288,    313,    -76,
     219,    260,    307,    744,
     656,    415,   -215,   -155,
    -223,   -441,   -149,   -424,
    -756,   -485,   -988,   -742,
    -548,   -442,     88,     41,
    1241,   1165,   1651,   1961,
    1224,    975,     51,   -222,
    -849,   -881,   -839,   -766,
    -217,     95,    329,    917,
    1262,   1357,   1859,   1516,
    1780,   1625,   1372,   1374,
     667,    156,   -402,   -694,
    -645,   -390,    115,    473,
     439,    925,    454,    275,
     189,   -561,   -467,   -957,
   -1169,  -1499,  -1660,  -1720,
   -1614,  -1352,  -1495,  -1362,
   -1632,  -1734,  -1917,  -2001,
   -1872,  -1550,  -1124,  -1039,
    -876,   -337,    -75,    608,
    1450,   1291,   1469,    607,
      66,    -74,   -591,   -375,
    -764,  -1016,  -1642,  -1928,
   -2273,  -2408,  -1393,   -790,
     187,    982,   1472,   1600,
    1756,   1792,   1146,    968,
     479,    391,    615,    563,
     789,    627,     85,   -485,
    -753,   -713,   -464,   -416,
     -46,   -167,    -23,    783,
     222,    414,   -124,  -1090,
   -1308,  -2258,  -2513,  -2581,
   -2664,  -2971,  -2671,  -2297,
   -1641,   -157,    633,   1435,
    1599,    821,    182,   -576,
   -1452,  -1183,  -1255,   -802,
     135,    350,    636,    552,
     786,    296,    318,    272,
     145,     37,   -186,   -198,
    -696,   -268,   -690,   -158,
     250,    312,    723,    498,
     876,    696,    953,    987,
     844,    404,    221,   -196,
    -875,   -972,  -1621,  -1917,
   -2014,  -1909,  -1812,  -1172,
    -992,   -604,    -10,    339,
     885,    858,   1159,    348,
      15,   -105,   -790,   -944,
   -1638,  -2345,  -2732,  -3210,
   -3512,  -3412,  -3454,  -3141,
   -2504,  -1609,   -866,    206,
     954,   1364,   2012,   1955,
    1995,   1597,   1530,    714,
       4,   -727,  -1872,  -1852,
   -2414,  -2164,  -2007,  -1098,
    -619,     13,   1060,    521,
    1313,    793,    588,    408,
     230,     46,   -588,   -115,
   -1005,   -846,  -1008,  -1027,
    -933,  -1098,  -1210,  -1882,
   -1613,  -1592,  -1096,   -730,
    -465,   -736,   -872,  -1120,
    -553,   -108,    125,   1016,
     366,    643,     13,   -219,
   -1054,  -1874,  -2333,  -2856,
   -1876,  -1821,   -567,   -473,
    -152,   -306,   -615,   -129,
    -372,    379,    536,    503,
      20,   -116,   -778,   -837,
    -645,   -546,      4,      6,
    -159,  -1009,  -1074,  -1515,
   -1244,   -753,   -519,   -113,
      28,    422,    660,   1179,
    1831,   2055,   1249,   1202,
     274,   -113,    517,    223,
     743,    604,    404,    166,
    -200,   -241,   -365,   -109,
      44,    198,    490,    -16,
    -154,   -182,   -755,   -654,
   -1354,  -1806,  -1958,  -1873,
   -1270,   -524,    293,    311,
     701,    -16,    -52,      7,
    -931,   -419,  -1222,  -1526,
   -1127,  -2005,  -1445,  -1044,
   -1133,    -45,    209,    933,
    1711,   1709,   1777,    994,
     304,  -1044,  -1904,  -2668,
   -3263,  -2844,  -2289,  -1206,
    -370,    480,    320,    472,
     278,    173,    807,    908,
    1552,   1307,   1058,    501,
    -399,  -1246,  -1806,  -2136,
   -2619,  -2633,  -2950,  -2960,
   -2586,  -2411,  -2044,  -1382,
   -1125,   -844,   -852,   -566,
    -729,   -541,    109,    289,
    1587,   1948,   2532,   2686,
    2754,   2523,   1341,   1015,
    -518,  -1335,  -1380,  -1934,
   -1674,  -1857,  -2475,  -2956,
   -3912,  -3688,  -3591,  -3171,
   -2257,  -1600,   -776,    107,
    1900,   2265,   3311,   3124,
    2407,   2269,   1712,   2400,
    1766,   2189,   1465,     93,
      34,   -736,  -1019,  -1198,
   -1262,  -1029,  -1169,   -948,
    -623,   -594,   -341,   -458,
     231,    -31,    166,    653,
     544,    978,    677,   1151,
     589,     51,   -393,  -1052,
   -1850,  -2326,  -1733,  -2021,
   -1176,   -805,   -462,     45,
    -209,    492,    148,    735,
    1369,   1078,   1832,    857,
     593,     -5,   -882,   -506,
   -1376,  -1210,  -1583,  -2030,
   -1744,  -1458,  -1131,   -910,
    -795,   -723,   -365,   -336,
      24,   -310,   -386,   -829,
    -816,   -710,   -469,    495,
     423,   1324,   1310,   1773,
    1810,    953,    985,   -318,
   -1264,  -1882,  -2494,  -2714,
   -2576,  -2016,  -1566,  -1323,
   -1314,  -1818,  -2583,  -2585,
   -2604,  -2611,  -2129,  -2054,
   -1753,  -1414,   -425,    361,
     979,   2036,   1891,   2665,
    2406,   1931,   1802,    444,
      29,   -249,   -402,   -310,
      58,    -94,    -94,   -385,
    -574,   -833,  -1514,  -1348,
   -2384,  -2876,  -2746,  -3268,
   -3466,  -3299,  -3395,  -2601,
   -1405,   -360,   1188,   1781,
    2225,   2301,   2028,   2072,
    1851,   1369,   1424,    844,
     331,    -44,   -811,   -926,
   -1598,  -1781,  -1630,  -1495,
    -888,    268,    246,    809,
     949,    466,   1171,    251,
     820,      3,   -403,   -325,
   -1132,   -340,   -747,     98,
     174,     90,   -293,   -909,
    -822,  -1087,   -407,    -81,
    1003,   1712,   2422,   2490,
    2192,   2098,   1527,   2074,
    1463,   1545,   1196,    221,
     122,  -1060,   -955,   -775,
    -296,    159,    117,    144,
    -161,    -52,   -693,   -351,
   -1114,  -1575,  -1557,  -2489,
   -1722,  -1621,  -1021,   -148,
     542,   1067,   1555,   2159,
    2342,   2452,   2118,   1838,
    1114,   1082,    454,   -147,
    -617,  -1699,  -2121,  -2699,
   -3000,  -3153,  -2854,  -2624,
   -2307,  -1747,  -2060,  -2158,
   -1806,  -2388,  -2236,  -1986,
   -2541,  -1949,  -1180,   -413,
     712,   1698,   1848,   2135,
    2043,   1731,   2000,   1915,
    1764,   1521,   1067,    322,
     -30,   -344,   -464,  -1041,
   -1557,  -2313,  -3414,  -3615,
   -3922,  -3889,  -3653,  -3238,
   -3359,  -2904,  -2551,  -2012,
    -626,    126,   1450,   1947,
    2153,   2419,   2136,   2228,
    2381,   2055,   1947,   1746,
    1380,   1003,    373,    114,
    -498,   -410,    107,    101,
     -18,     25,   -390,  -1312,
   -1736,  -2453,  -3266,  -3037,
   -2723,  -2728,  -2094,  -1939,
   -1881,  -1432,   -526,    707,
    1719,   2934,   3537,   3362,
    3361,   2938,   2300,   1622,
     108,   -679,  -1500,  -1759,
   -1793,  -1668,  -1089,   -882,
      30,    311,    596,    472,
     231,   -361,   -646,   -744,
    -594,    152,    277,    943,
     513,    637,    233,   -166,
    -289,   -870,   -868,  -1387,
    -966,   -993,   -304,    173,
     410,   1655,   1743,   1995,
    2411,   2007,   1995,   1817,
    1241,    739,    119,   -239,
    -826,   -994,  -1298,  -1053,
    -822,   -465,      9,    217,
     914,    810,    863,    652,
     526,   -158,   -404,   -748,
   -1099,  -1181,  -1695,  -1672,
   -2318,  -1861,  -1751,   -968,
    -292,    533,   1478,   1383,
    2170,   1925,   2179,   1930,
    1598,   1244,    632,    413,
      34,     42,   -118,    -93,
    -174,   -138,   -220,   -473,
    -411,    123,    156,    888,
     886,    493,    738,   -221,
    -457,  -1347,  -1856,  -1835,
   -1751,  -1258,  -1320,   -856,
    -533,   -622,    294,    562,
     408,   1263,    430,    754,
     445,     18,    -44,  -1659,
   -1507,  -2807,  -2535,  -1956,
   -2128,  -1269,  -1452,   -374,
     268,   1307,   1918,   1848,
    1995,   1225,    834,    183,
      54,    -84,   -485,   -632,
   -1451,  -1588,  -1102,  -1076,
    -663,   -187,   -439,   -154,
     310,    372,    864,   1302,
    1579,   1943,   2255,   2060,
    1935,   1566,   1228,   1245,
     307,    452,   -446,   -942,
    -467,  -1400,   -489,   -898,
    -559,   -431,   -954,   -203,
    -975,   -141,   -107,     77,
     137,    -63,    286,   -110,
     324,    -29,    -64,   -369,
    -166,    -76,    575,   1186,
    1029,   1674,   1157,   1551,
    1396,   1690,   1935,   1296,
    1386,    528,     33,     90,
     -89,   -153,    458,    683,
    1362,   2029,   2007,   2172,
    1712,   1438,   1313,    903,
     672,    286,    453,    437,
     630,   1790,   1382,   1784,
    1302,    195,   -155,  -1322,
   -1432,  -1974,  -1391,   -878,
    -526,   -105,     13,    127,
    -168,     48,   -182,    254,
    -269,   -217,   -178,   -175,
     644,    841,   1558,   1296,
    1296,   1344,   1101,   1364,
    1847,   1728,   2215,   1983,
    1095,    731,   -979,  -1093,
   -2174,  -2508,  -2047,  -2670,
   -1639,  -1501,   -490,    248,
     647,   1235,    753,   1277,
    1713,   2457,   3061,   2966,
    2698,   2134,   1949,   1375,
    1265,    907,     89,   -129,
    -982,   -786,   -757,   -707,
     197,   -305,      8,    228,
    -242,   -250,   -547,  -1030,
   -1406,  -1221,  -1149,   -734,
      22,    578,   1238,   1949,
    1941,   1979,   2049,   1797,
    1892,   1154,    816,     95,
    -480,   -158,   -133,    207,
     222,    123,   -335,   -851,
   -1489,  -1440,  -1714,  -1326,
    -623,   -908,    272,    283,
     630,    846,    760,    998,
     711,   1291,    998,   1383,
    1449,   1009,   1201,   1149,
    1321,   1450,   1216,    614,
      87,   -458,   -985,   -962,
    -991,  -1297,  -1041,  -1067,
   -1118,   -967,   -355,     52,
     746,    993,    946,   1753,
    1464,   2553,   2457,   2274,
    2045,   1109,   1266,    379,
     803,    388,    475,   -216,
    -915,   -985,  -1915,   -872,
   -1259,  -1031,  -1031,   -987,
    -689,   -861,    140,   -163,
     150,    225,    225,    676,
     972,   1413,   1389,   1721,
    1377,   1452,   1203,    870,
     755,     80,    516,    165,
     492,    493,    312,    786,
     369,    765,     17,   -338,
   -1176,  -1876,  -1997,  -2663,
   -2197,  -2203,  -1433,  -1121,
    -319,    633,   1248,   2331,
    2348,   2450,   2481,   2379,
    1807,   1377,    252,   -595,
    -802,  -1072,   -769,  -1016,
    -986,  -1447,  -1663,  -1359,
   -1259,   -621,   -374,    159,
     361,    559,    983,    421,
     769,    198,     39,    298,
    -299,    534,    211,    447,
     310,   -315,   -313,   -822,
    -346,   -542,   -606,   -500,
    -860,   -553,   -267,   -112,
      49,   -382,   -874,  -1671,
   -1514,  -1763,  -1650,   -869,
   -1348,   -353,   -696,    159,
     249,    150,   1007,   -250,
     475,   -405,   -205,    106,
    -405,    139,   -465,   -797,
   -1151,  -2002,  -2190,  -1629,
   -2028,   -435,   -488,   -220,
     839,   -146,    491,   -309,
      28,     28,    -22,   1245,
     693,   1514,   1599,    874,
    1234,    103,   -160,   -185,
   -1002,   -912,  -1542,  -1873,
   -1979,  -1820,  -1547,  -1018,
    -478,   -177,    609,    625,
    1053,   1619,   1782,   1781,
    1676,    999,    339,     23,
    -251,    -91,     12,     -8,
    -290,   -377,   -839,   -993,
   -1222,  -1594,  -1699,  -1994,
   -2024,  -1955,  -1546,   -973,
    -196,    191,    415,    319,
     -81,     43,    169,     60,
     178,   -198,   -432,   -587,
    -756,   -135,   -236,    262,
     125,   -170,    116,     48,
     203,    -71,   -677,  -1838,
   -2409,  -2808,  -2227,  -1571,
    -761,    -34,   -156,    528,
    1016,   1870,   2379,   2507,
    2278,   1929,   1687,   1411,
    1142,   1227,    720,    -82,
    -269,  -1204,   -706,   -339,
     -67,    414,    372,    164,
     362,    226,   -380,    177,
    -443,    -72,   -230,    155,
     623,    517,   1590,    667,
    1042,    898,    523,    852,
     453,    623,    591,    515,
     916,    903,    749,   1342,
     523,    218,   -131,   -917,
   -1269,  -1586,  -1190,  -1176,
    -568,    -64,    201,    156,
     335,    512,    595,   1156,
     757,    840,    685,    365,
     799,    632,   1149,   1390,
    1082,   1322,    507,    372,
     -10,   -506,     89,   -335,
    -298,     88,    235,     60,
     209,   -234,   -936,   -397,
    -444,    133,    704,    596,
    1013,    824,    604,    793,
      63,   -165,   -768,  -1408,
    -472,   -178,   1190,   2126,
    2271,   2910,   2201,   2391,
    2123,   1225,   1119,    118,
    -372,   -879,  -1312,  -1273,
   -1858,  -1698,  -1672,  -1240,
    -298,    128,    781,   1244,
    1843,   2144,   2338,   2434,
    2001,   1890,   1615,   1329,
    1140,    919,   1076,    851,
    1048,   1036,    758,    911,
     752,    901,    798,    982,
     433,    -66,   -302,   -896,
    -683,   -647,   -343,   -489,
    -140,    133,    382,    960,
    1069,   1111,    991,   1076,
    1072,   1711,   1733,   2762,
    3119,   2826,   3031,   2052,
    1745,    735,    431,   -197,
    -488,   -638,  -1172,   -699,
   -1014,   -496,   -532,    -43,
     369,    654,   1561,   1208,
    1600,    931,    401,    597,
     181,    977,   1147,    993,
    1015,    830,    444,   -128,
    -118,  -1132,  -1198,  -1134,
   -1544,   -797,   -861,   -196,
     108,     -8,    428,    344,
     500,    513,    375,    133,
     290,    490,    630,   1260,
    1302,   1340,   1304,    474,
     -47,   -770,  -1255,  -1438,
   -1405,   -694,   -494,    551,
    1495,   1774,   2044,   1440,
     888,    132,   -305,   -499,
    -774,   -524,   -206,    -47,
     530,    856,    626,    777,
      59,   -297,   -353,   -229,
     371,    577,   1055,    703,
     958,    915,    883,   1027,
     604,    597,    572,    733,
     328,   1006,    274,    363,
     511,   -566,     76,   -946,
    -544,   -955,  -1305,   -820,
   -1241,   -415,   -429,     97,
     179,   -116,     55,    246,
     475,    747,    789,    974,
    1076,    875,   1742,   1536,
    1805,   2081,    984,    625,
    -381,   -956,  -1301,  -1943,
   -1253,  -1665,  -1354,  -1018,
   -1450,   -284,   -356,     81,
     231,   -262,   -169,    149,
     937,   1294,   2163,   2420,
    2096,   1766,   1163,    534,
     326,    115,    133,   -223,
    -624,  -1275,  -1876,  -1901,
   -2335,  -1195,  -1468,  -1085,
    -795,   -922,    195,    171,
    1628,   1627,   2007,   2321,
    1931,   2105,   1135,    772,
    -242,   -550,   -652,   -885,
    -800,  -1332,  -1435,  -1418,
    -900,   -367,    -26,    426,
     399,    467,    335,    335,
     118,    249,    582,     32,
     392,    165,    249,    624,
     361,    671,    612,    677,
     602,    173,    -26,   -631,
    -927,   -452,   -875,   -499,
    -780,  -1317,  -1131,  -1353,
    -491,   -166,    685,   1081,
    1347,   1634,   1554,   1709,
    1560,   1953,   1914,   1591,
     604,   -223,  -1388,  -1812,
   -1899,  -2352,  -1651,  -1573,
   -1683,  -1126,   -379,    138,
    1300,   1776,   1599,   1390,
     817,    592,    407,    490,
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    -607,   -773,  -1053,   -662,
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    -699,  -1278,  -1244,  -1708,
   -1694,  -1459,  -1035,   -577,
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    -462,     70,   -399,   -583,
    -757,  -1055,  -1447,  -1356,
   -1255,  -1020,   -584,   -573,
    -251,   -892,   -610,  -1439,
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     -36,   -283,   -429,   -604,
   -1034,  -1164,  -1032,  -1053,
   -1153,   -799,   -755,   -396,
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   -2401,  -2330,  -1319,  -1550,
   -1175,  -1792,  -1826,  -1616,
   -1367,   -531,     38,    258,
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    -589,  -1029,  -1318,  -1542,
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   -1258,  -1010,  -1218,   -805,
    -774,   -376,    364,    168,
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    -135,    134,    345,     12,
    -244,    304,    110,    583,
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    -444,   -936,   -336,   -336,
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    -605,   -866,  -1335,  -1286,
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     -18,     -9,   -879,   -930,
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    -781,   -661,  -1053,  -1803,
   -1429,  -1845,  -1024,     24,
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   -1045,  -1915,  -1916,  -1606,
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    -836,  -1491,   -718,   -975,
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     -10,   -206,   -847,   -958,
    -926,   -356,    440,    452,
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    -414,    227,   -168,    213,
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     424,    -75,   -792,   -787,
    -888,   -153,    127,    405,
     559,     48,    613,    454,
     721,   1097,    865,    876,
     546,    506,    765,    823,
     576,    377,   -380,   -475,
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    -635,   -548,   -826,   -744,
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    -454,  -1099,  -1116,  -1546,
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     -57,     19,   -469,   -238,
    -670,   -603,   -836,   -987,
    -734,   -828,   -193,    186,
     655,   1190,   1157,   1072,
     863,   -140,    122,   -294,
    -423,   -508,  -1134,   -624,
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     -54,   -275,   -194,   -219,
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   -1254,   -735,     15,    710,
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      81,   -493,   -496,   -917,
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    -540,   -242,   -471,   -630,
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    -660,  -1363,  -1712,  -1884,
   -1944,  -1600,  -1676,  -1059,
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    1119,   1087,    635,   -154,
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    -778,   -764,   -921,   -645,
    -695,   -542,   -586,   -450,
    -355,     21,    408,    493,
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    -647,   -779,   -989,   -768,
    -594,   -587,   -410,   -692,
    -893,   -960,  -1277,  -1159,
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    -455,  -1006,   -896,   -783,
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     572,    318,     68,   -456,
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     351,    194,   -388,    252,
    -579,   -322,   -827,   -847,
    -301,   -275,    350,     44,
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    -439,   -283,     54,   -313,
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    -811,   -874,  -1628,  -1888,
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    -238,   -746,   -284,   -790,
       3,    -84,    484,    560,
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     674,    320,   -101,    104,
    -555,     88,    326,    390,
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    -425,   -425,   -873,   -984,
    -713,   -397,    126,    750,
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      86,     41,    132,   -195,
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    -423,   -941,   -121,    879,
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     926,   1125,    881,   1102,
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    -682,   -314,   -292,     75,
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     623,   -460,   -409,   -717,
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    -220,   -152,   -264,   -202,
     140,    150,    318,    528,
     883,    831,   1023,    483,
     805,    586,    634,    846,
     523,    718,    154,    226,
    -551,   -578,   -448,   -347,
      74,    389,    543,    531,
     981,    920,   1293,   1018,
    1212,    892,    317,    724,
     609,    417,    834,    565,
      -2,    482,   -105,   -140,
     -47,   -584,   -153,     27,
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     107,    323,     35,    -67,
    -123,   -479,    -89,   -157,
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    -126,   -167,    410,    203,
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    1735,   2183,   1152,   1629,
    1224,   1193,   1568,   1105,
    1115,    402,    524,    -26,
      11,   -259,   -253,   -235,
    -665,   -665,  -1139,  -1224,
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     927,    358,    -11,     43,
     291,   1067,   1575,   1872,
    2074,   1602,   1790,   2069,
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    -137,   -699,   -655,   -780,
    -769,   -371,   -414,   -635,
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    1541,   1955,   2045,   1851,
    1899,   1567,    970,    676,
     303,     -5,    438,    213,
     620,    600,    909,    838,
     699,    480,     -2,   -408,
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   -1367,  -1706,  -1045,  -1074,
    -460,    368,    715,   1427,
    1579,   1572,   1663,   1252,
    1595,   1547,   1240,   1074,
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    -987,   -927,  -1071,   -285,
    -730,   -340,    329,    -22,
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    -111,   -326,   -168,   -254,
     -37,    145,    -55,    350,
     247,    702,   1038,   1043,
    1462,    986,    776,    717,
     333,    307,    201,   -104,
    -459,   -129,    -33,    -48,
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    2020,   1865,   1793,   1489,
    1204,    469,   -103,   -674,
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   -1845,  -1905,   -857,   -199,
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     474,    434,   -189,   -395,
    -471,   -638,   -187,    -95,
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    1120,    692,   -267,   -617,
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   -1152,  -1018,   -672,   -718,
    -357,   -470,   -592,    -37,
    -311,   -143,     18,   -389,
    -400,   -183,   -419,   -247,
    -229,      4,    679,   1068,
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    1441,   1445,   1768,   1801,
    1467,   1407,   1207,    825,
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    -450,   -393,   -236,   -213,
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     910,   1278,   1029,   1349,
    1847,   1860,   2519,   2472,
    2454,   1850,   1195,    477,
    -727,   -921,  -1703,  -1657,
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    -880,   -855,   -495,   -620,
    -551,  -1011,   -977,   -972,
   -1041,    -61,   -699,    -85,
     -42,    111,    679,    259,
     698,    298,    -21,   -254,
    -873,  -1199,  -1205,  -1012,
    -521,    170,   1184,   1912,
    2799,   2930,   2918,   2711,
    1714,   1629,     39,   -530,
   -1600,  -2310,  -2375,  -2775,
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    -758,   -659,  -1090,   -359,
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    -290,   -645,   -993,  -1521,
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    -379,   -603,   -663,  -1129,
    -642,   -592,   -275,   -220,
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   -1164,  -1126,   -749,     56,
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    -718,   -675,   -553,    274,
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     639,    682,    755,    901,
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    -334,   -743,  -1163,  -1312,
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     721,     42,    -71,   -430,
    -763,   -302,   -498,      1,
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    -685,   -570,   -509,   -501,
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     900,    563,   -173,   -172,
    -646,   -780,   -519,   -943,
    -692,   -451,     68,    496,
     800,   1145,    664,    830,
     572,   -179,    157,   -188,
     -61,    -25,   -398,   -220,
    -354,    -44,     36,    110,
     338,    446,    313,     10,
    -220,   -333,   -207,     19,
     310,    400,    842,   1056,
    1335,   1728,   1837,   2381,
    2140,   1728,   1665,    796,
     432,   -239,  -1216,  -1374,
   -1983,  -2119,  -1923,  -1855,
   -1138,   -250,    443,   1221,
    1613,   1672,   1625,   1575,
    1376,    998,    683,    225,
     553,    383,    797,   1226,
     823,   1234,    840,    363,
     198,   -270,   -802,   -945,
   -1771,  -1905,  -1776,  -1676,
    -430,    -13,    717,   1061,
    1468,   1484,   1394,   1329,
     767,    655,    -67,   -317,
    -788,   -591,   -375,   -238,
     195,     64,    478,    643,
     929,    994,    810,    345,
      92,   -241,   -959,   -942,
   -1438,  -1360,   -944,  -1066,
     -57,    217,    311,   1055,
     787,    706,    -22,   -610,
   -1289,  -2021,  -1489,  -1975,
   -1655,  -1089,   -675,    187,
     474,   1258,   1060,   1406,
    1398,    708,    752,   -636,
    -830,  -1168,  -1686,  -1209,
   -1227,   -427,     18,    799,
     813,    546,    418,   -520,
    -617,  -1407,  -1517,  -1249,
   -1392,  -1133,  -1178,  -1104,
    -788,   -306,     19,    784,
    1107,   1563,   2003,   1980,
    2346,   1909,   1704,    992,
     373,     64,   -806,   -839,
   -1224,  -1276,  -1033,  -1239,
   -1204,  -1267,  -1821,  -2008,
   -2176,  -2847,  -2746,  -3088,
   -2592,  -1688,  -1261,    100,
     867,   1881,   2452,   2448,
    2510,   1799,   1193,    839,
      99,   -683,   -524,   -695,
    -439,    130,     59,    441,
      91,   -576,   -864,  -1425,
   -1996,  -2082,  -2309,  -2137,
   -1670,  -1245,   -590,   -404,
     547,    677,    497,   1132,
     670,    642,    702,    347,
     494,     63,   -584,  -1047,
   -1540,  -1936,  -1948,  -1462,
   -1244,   -412,    121,    852,
    1354,   1195,   1414,    719,
     250,   -327,   -639,  -1415,
   -1083,  -1026,   -880,    -83,
    -660,    217,   -810,   -425,
   -1279,  -2305,  -2090,  -3635,
   -2791,  -3279,  -2215,  -1624,
   -1072,    440,    889,   1926,
    2055,   2174,   1068,    686,
     303,   -267,    -45,   -660,
    -785,   -610,  -1433,  -1101,
   -1005,  -1595,   -974,  -1189,
   -1144,   -684,   -762,  -1080,
    -820,  -1173,  -1101,  -1065,
    -758,   -830,  -1274,   -244,
    -599,    578,   1192,   2335,
    2909,   2873,   3338,   1953,
    1956,    668,   -219,  -1168,
   -1905,  -2427,  -2560,  -2161,
   -2347,  -1419,  -1757,  -1736,
   -1498,  -1599,  -1384,  -1241,
   -1564,  -1910,  -1783,  -1520,
   -1499,   -633,    -91,     56,
    1161,    815,   1271,   1202,
     564,    442,   -221,   -200,
    -100,   -349,    350,    454,
     519,   1142,    554,   1189,
     758,    956,    751,    436,
     250,   -328,    191,   -681,
      43,   -676,   -454,   -316,
    -406,    506,    388,   1434,
    1773,   2638,   2431,   2249,
    1459,    500,     42,  -1037,
   -1949,  -2264,  -2298,  -2775,
   -2000,  -2108,  -1669,  -1142,
    -821,   -507,   -502,   -563,
   -1165,  -1065,  -1107,  -1116,
    -951,   -406,   -431,    279,
     262,    162,    590,    -98,
       5,   -465,   -675,   -749,
    -924,   -846,   -354,     91,
     455,    872,    981,   1388,
    1267,   1659,   1622,   1802,
    1891,   1596,   1606,    791,
     489,   -510,  -1376,  -1913,
   -2146,  -2308,  -2238,  -1273,
   -1401,   -487,   -280,   -283,
      28,   -178,   -251,   -705,
    -153,   -342,    230,    578,
    1059,   1797,   1959,   2287,
    1948,   1919,    831,    579,
     -60,  -1030,  -1532,  -2262,
   -2414,  -2296,  -1535,   -793,
    -214,    430,   1224,   1093,
    1705,   1581,    769,    721,
     339,   -411,   -368,   -466,
   -1080,   -231,   -500,    261,
     611,   1095,   1831,   1385,
    1631,   1032,    532,   -222,
    -355,   -867,   -815,   -496,
    -672,   -536,   -416,   -723,
    -693,   -615,  -1142,   -666,
   -1181,   -806,  -1281,  -1202,
    -921,  -1081,   -314,   -344,
     752,    831,   1956,   2575,
    2436,   2545,   1822,   1179,
     636,     78,   -461,   -924,
   -1573,  -1317,  -1931,  -1270,
   -1305,  -1123,   -333,   -810,
       8,   -416,   -465,   -475,
    -632,   -474,   -455,     61,
     112,    380,    548,    357,
     648,     97,   -263,    192,
    -436,   -262,      8,   -163,
     -34,    181,    288,    230,
     583,    690,    558,    647,
     128,   -152,   -249,   -796,
    -343,   -781,   -643,   -748,
   -1315,  -1047,  -1479,   -866,
    -654,   -225,    253,    157,
     429,    400,    614,    877,
     978,    958,    653,    814,
     392,    212,    949,    350,
     281,    -76,   -894,  -1076,
   -1236,  -1458,  -1512,  -1212,
   -1389,  -1356,   -880,   -699,
    -377,    442,     41,    574,
     771,    462,    752,    471,
     511,    363,    756,    232,
     633,    665,    653,   1144,
     911,    807,    211,    262,
    -665,   -145,   -269,   -462,
      -4,   -592,   -111,   -452,
     173,    100,   -254,   -115,
   -1006,  -1193,  -1336,  -1207,
   -1323,   -869,   -377,   -381,
     501,    709,   1406,   1566,
    1674,   1742,   1194,   1495,
     588,    713,    466,    -56,
    -203,   -890,  -1269,  -1774,
   -1797,  -1982,  -1288,   -971,
    -336,    138,    285,    615,
     340,    438,    318,     97,
    -141,    -28,   -406,   -370,
     -30,     88,    471,    902,
     575,    759,    650,    305,
     597,   -420,     91,   -485,
    -589,   -486,   -663,   -119,
    -612,    401,    -11,    378,
     496,    100,    273,   -505,
    -402,   -575,   -873,   -845,
    -556,   -633,    -43,     60,
     256,    697,    685,   1296,
    1153,   1614,   1173,    581,
     851,    -55,     69,    -72,
    -623,   -101,   -191,    100,
     414,    326,    323,     -3,
    -155,   -319,   -317,   -399,
    -526,   -281,   -451,   -672,
    -788,   -582,   -337,   -303,
     291,   -212,    247,    593,
     284,    936,    311,    496,
     302,    292,    707,    496,
     732,    790,    590,    146,
    -224,   -984,  -1156,  -1402,
   -1600,  -1474,  -1459,  -1009,
    -537,   -450,    204,     45,
      49,    897,     33,    707,
     789,    684,   1103,    773,
     759,    546,    325,   -313,
     -60,  -1033,  -1355,  -1001,
   -1491,  -1546,  -1014,  -1284,
   -1326,   -500,   -870,    251,
     294,    592,    814,    597,
     810,    642,   1209,    342,
     564,    -47,   -405,    -68,
    -596,   -262,   -249,   -363,
    -342,    164,    -41,    -24,
     251,   -133,   -147,   -169,
    -546,   -149,   -218,   -384,
     274,    -48,    226,    341,
     557,    656,    311,    588,
     -58,   -124,    -15,     18,
      65,     67,     52,   -603,
    -419,   -998,  -1079,   -815,
    -897,   -430,   -412,    206,
     364,   1042,    644,    943,
    1279,     39,    694,   -269,
     110,    530,     -5,    522,
     257,    652,    288,    143,
      51,   -716,  -1062,  -1207,
   -1591,   -957,   -509,   -189,
     763,    576,   1044,    486,
     611,    660,   -271,   -125,
   -1119,  -1086,  -1152,   -603,
       4,    -40,    577,    -11,
     291,     -5,    -84,    178,
     -94,    269,   -130,    -56,
      99,     67,    -47,    114,
     -85,   -327,    160,     87,
      27,    290,    184,   -301,
    -298,   -787,   -401,   -251,
    -205,    276,   -441,     79,
    -288,   -570,    -59,   -411,
    -173,    283,     -2,     96,
     551,     15,    412,    407,
     288,    736,    584,    943,
     610,    328,   -135,   -964,
   -1110,  -2127,  -2441,  -2642,
   -2685,  -1693,  -1655,   -693,
     175,    373,   1053,   1162,
    1439,   1809,   1249,   1514,
    1220,    677,   1267,    290,
     716,    490,    119,    265,
    -449,     -5,   -562,   -355,
    -690,   -999,   -845,   -930,
    -899,   -900,   -397,   -378,
      13,     45,    364,     80,
     341,    498,    105,    703,
     469,    478,    597,    637,
     261,    293,      3,   -584,
    -757,  -1287,  -1065,  -1141,
    -476,   -315,   -725,   -116,
    -618,   -165,    132,    117,
     747,    245,    537,    304,
     321,    612,    593,    661,
     136,      2,   -512,   -506,
    -859,   -856,   -727,   -724,
    -293,   -462,   -185,   -179,
    -305,   -427,   -558,   -647,
    -667,   -384,     91,   -205,
     221,    407,    -60,    569,
     198,    -40,   -103,   -356,
    -670,   -387,   -562,   -567,
    -294,   -445,      1,    204,
     729,    571,   1611,   1226,
    1337,   1539,    410,    917,
     -85,     38,   -394,   -124,
     266,   -122,      7,   -429,
    -185,   -519,    114,     72,
      40,    384,    571,    717,
     771,    887,    474,    457,
    -126,     48,    -78,     97,
     353,    511,   1242,    860,
    1255,    849,    227,     97,
    -623,   -705,   -863,   -821,
    -609,   -408,   -222,    131,
     257,     62,    191,   -420,
    -484,   -586,   -686,   -276,
    -122,    240,    261,   1002,
     803,    854,    998,    342,
     841,    451,    447,    572,
     162,    -62,   -747,  -1025,
   -1111,  -1462,  -1594,  -1820,
   -1953,  -1794,  -1743,  -1397,
    -976,   -308,    545,   1082,
    1258,   1467,   1453,   1694,
    1760,   1347,   1211,    672,
     263,   -284,   -530,  -1027,
   -1273,  -1130,  -1365,  -1048,
    -793,   -444,     51,    872,
    1348,   2096,   2130,   2067,
    1943,   1040,   1328,    666,
     712,    508,    -54,    108,
    -270,      5,   -234,   -172,
    -529,   -837,   -957,  -1379,
   -1208,  -1306,   -840,   -480,
     251,    925,   1179,   1758,
    1463,   1375,   1098,    523,
     273,   -299,   -382,   -564,
    -890,   -803,   -573,   -585,
    -586,   -170,   -386,   -153,
     178,    214,    399,    315,
     216,   -315,   -299,   -244,
     141,    558,   1006,   1264,
    1007,   1294,    587,    388,
    -259,   -652,   -653,   -770,
      34,   -124,    615,    594,
     342,    447,    -81,     21,
    -124,   -234,   -167,   -238,
    -348,    -59,   -276,    -78,
      45,    145,    535,    439,
     868,    649,    733,    733,
     296,    375,    227,     86,
    -176,   -486,   -836,   -869,
    -347,   -280,     39,    237,
     277,    362,    170,    557,
     -58,     89,    308,   -287,
     -95,    388,    908,   1481,
    2157,   1919,   2255,   1580,
    1153,    541,   -691,  -1195,
   -2397,  -2557,  -2749,  -2203,
   -1694,   -788,   -100,    263,
     599,    211,    404,   -195,
    -206,   -380,   -440,   -278,
     -96,    103,    561,    799,
    1620,   1990,   1544,   2310,
     851,   1170,    697,   -188,
    -107,  -1370,  -1439,  -2152,
   -1900,  -2100,  -1285,   -819,
    -409,    606,    359,   1351,
    1098,   1273,   1281,    694,
     627,     91,    -68,   -143,
     -89,   -352,   -296,   -215,
    -495,   -225,    -27,    -42,
     -96,   -304,   -655,   -817,
    -969,  -1029,   -570,   -122,
     716,   1083,   1236,   1078,
     718,    611,    226,    470,
     175,    172,     -1,   -316,
    -143,   -501,   -217,     30,
    -210,    150,    143,    -53,
     190,   -190,    -85,   -374,
    -212,   -147,   -336,     64,
      33,    401,    341,    612,
     156,    319,    375,    349,
     489,   -174,    223,   -375,
    -286,    107,    143,    652,
    1126,    949,   1017,    847,
     211,    419,   -222,   -453,
    -544,   -418,   -360,    135,
     557,    579,   1149,    964,
     734,    440,    247,    111,
     120,   -173,   -188,   -949,
    -891,   -507,   -793,   -240,
    -459,    163,     84,    591,
    1044,   1077,   1392,    945,
     716,    115,     50,   -635,
    -488,   -652,   -592,   -267,
    -200,    476,    488,   1252,
     810,    860,    372,   -659,
    -786,  -1455,  -1456,  -1404,
   -1117,   -821,    -91,    257,
     810,   1048,   1032,   1214,
     287,    144,   -445,   -516,
    -505,   -439,    -47,   -428,
     418,    541,    637,    858,
     332,    192,    -60,   -737,
   -1221,  -1219,  -1647,  -1351,
    -883,   -738,    150,    415,
     300,    944,    914,    904,
    1451,   1187,   1043,   1136,
     563,    209,    187,   -502,
    -718,  -1101,  -1283,  -1193,
    -812,   -214,    257,   1289,
     619,    739,    285,   -180,
    -128,  -1012,   -655,  -1034,
    -365,     44,    525,    914,
     891,   1349,    656,    746,
     221,   -387,   -545,   -965,
    -969,   -588,   -272,    326,
    1018,   1098,   1387,   1219,
     838,    728,    145,   -136,
    -281,   -700,   -377,   -572,
    -323,   -174,   -253,   -195,
    -641,   -644,   -954,   -541,
    -691,   -351,   -244,     41,
     461,    192,    824,    451,
     811,    345,    773,    853,
     745,   1792,   1280,   1809,
     739,   -147,   -842,  -2061,
   -2337,  -2979,  -2933,  -2616,
   -1913,  -1264,   -287,    496,
     843,   1414,   1276,    791,
     754,    530,    344,    578,
     296,    591,    654,    509,
     916,    132,      0,   -531,
   -1536,  -1431,  -2245,  -1693,
   -1367,  -1302,    -12,   -143,
     416,    813,    647,   1039,
    1123,    890,    227,   -194,
    -684,  -1100,  -1038,   -856,
    -649,   -197,     34,    348,
     934,    919,   1217,   1151,
     965,   1121,    488,     11,
    -474,   -995,  -1487,  -1149,
   -1033,  -1146,    -52,   -174,
     526,    973,    500,   1257,
     570,    309,    504,   -317,
      49,    108,    -77,    491,
      78,    256,    555,    526,
     595,     83,    -13,   -614,
    -994,  -1033,  -1181,   -976,
    -666,   -192,    173,    251,
     363,    446,    108,    393,
     316,   -192,   -124,   -418,
    -498,     79,    298,    243,
     164,   -254,   -805,  -1106,
   -1046,  -1200,  -1178,   -976,
   -1006,   -993,   -631,   -539,
    -486,    -84,   -124,   -302,
     -22,    262,    159,    712,
     579,    742,    454,   -329,
    -540,  -1544,  -1314,  -1996,
   -2119,  -2186,  -2138,  -1580,
   -1834,   -663,   -948,   -314,
     197,   -281,    112,    140,
      85,     71,    -34,   -469,
     102,   -316,   -409,   -100,
    -744,   -904,   -846,  -1157,
   -1132,  -1027,  -1328,   -816,
   -1036,   -663,   -903,   -771,
    -290,   -498,    381,    286,
     343,    -12,   -157,   -759,
    -949,  -1223,  -1714,  -1700,
   -2169,  -1429,  -1570,   -616,
    -206,    171,    437,    351,
    1028,    311,    682,    182,
    -452,   -672,   -776,  -1165,
   -1080,  -1053,  -1276,   -716,
    -861,     20,   -289,    311,
     377,      8,    709,    113,
     454,    448,    391,    486,
     686,    357,    284,    172,
      17,    139,   -286,   -119,
    -596,   -693,   -855,  -1156,
   -1252,  -1288,  -1033,   -594,
    -176,    104,    332,    161,
     414,    130,   -159,   -478,
    -723,  -1349,  -1369,  -1080,
   -1569,   -682,   -759,   -638,
     -67,    127,    564,    415,
     447,    183,   -397,   -512,
    -477,   -911,   -736,  -1097,
   -1688,  -1553,  -1907,  -1799,
   -1548,  -1642,  -1313,   -687,
    -212,    263,    644,    630,
     365,    267,   -337,   -888,
   -1089,  -1500,  -1279,  -1245,
   -1315,  -1129,   -792,   -946,
   -1145,  -1063,  -1485,  -1533,
   -1965,  -2032,  -2124,  -2315,
   -1710,  -1527,   -961,   -381,
    -102,     18,     74,   -314,
    -685,   -444,   -745,   -430,
    -145,   -201,    189,     72,
     167,    306,     32,    -95,
    -520,  -1014,  -1390,  -1401,
    -984,   -867,   -275,   -202,
    -422,    -12,   -206,    259,
     210,     62,    725,    179,
     641,    645,    259,    360,
    -373,   -324,  -1375,  -1275,
   -1351,  -1851,   -685,  -1096,
    -250,     24,      8,    737,
     509,    863,    166,      1,
    -201,   -765,   -475,  -1022,
    -694,   -567,  -1022,   -643,
   -1115,   -938,   -799,   -687,
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    -954,   -921,   -973,   -793,
    -552,  -1106,   -284,   -893,
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    -177,   -470,   -474,    -57,
    -249,    132,     84,    154,
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    -932,   -253,   -365,     24,
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    -528,   -945,   -636,  -1117,
    -784,  -1204,  -1049,   -695,
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     -92,     -8,   -672,     14,
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    -629,  -1774,   -883,  -1505,
   -1004,   -914,   -642,   -329,
    -748,     25,   -857,   -258,
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    -837,   -718,  -1099,  -1029,
    -779,  -1406,  -1101,   -532,
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     412,    155,     24,    229,
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    -492,   -460,   -958,   -977,
   -1062,  -1210,   -765,   -706,
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      57,    346,    -38,    354,
     235,   -265,    307,   -791,
    -472,   -706,   -819,   -807,
    -997,   -554,  -1179,   -840,
    -783,   -780,   -308,    -65,
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     352,    208,    309,     31,
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    -884,   -806,  -1095,   -721,
    -613,   -198,    241,    477,
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    -679,  -1241,  -1087,  -1570,
   -1450,  -1338,  -1018,   -814,
    -617,   -297,    234,    284,
     791,    914,    687,   1164,
     643,    861,    385,     93,
    -219,   -352,   -471,   -541,
    -234,   -333,    323,     49,
     441,    319,    -13,    288,
    -384,   -258,    204,   -327,
     139,     56,   -280,    -59,
    -448,   -237,   -650,   -113,
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    -309,   -281,    492,     -6,
     540,     88,    477,    185,
    -133,    216,   -586,    176,
    -358,    -26,     39,    103,
      -1,    131,    416,     62,
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    -649,   -573,   -785,   -504,
    -280,   -198,   -393,   -104,
    -614,   -436,   -329,   -778,
    -436,   -460,   -326,   -148,
    -343,   -379,    -51,   -241,
    -181,    215,   -339,     66,
      36,    -20,    -36,   -210,
    -337,   -836,   -104,   -674,
    -174,   -190,   -323,   -111,
    -502,    282,   -271,    551,
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    -546,   -897,   -603,   -591,
    -212,     32,    -33,     -6,
     -12,   -415,   -444,   -697,
   -1001,   -525,   -240,   -110,
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     263,    258,    -36,     90,
     435,   -312,    498,    -74,
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      54,    421,    230,    162,
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      50,   -330,    -31,   -104,
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     120,   -652,   -945,  -1607,
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   -1127,   -411,    278,    832,
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       1,    309,    -97,   -259,
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      76,   -290,   -439,   -899,
    -691,   -816,  -1052,   -674,
    -589,    101,   -157,    418,
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    -390,   -952,   -449,  -1571,
   -1073,  -1221,  -1076,   -550,
     -53,    434,    820,   1143,
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     756,   1102,    879,    906,
    1027,    916,   1315,    702,
     781,     65,     15,    -75,
    -736,   -350,   -908,   -723,
    -353,   -309,    173,    309,
    1026,    611,    995,   1232,
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     898,    638,    544,    -29,
    -497,   -796,  -1371,  -1099,
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    -324,   -261,   -201,   -658,
    -754,  -1035,  -1185,   -131,
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    -167,   -455,   -566,   -588,
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     255,   -341,   -850,  -1769,
   -2011,  -2401,  -2573,  -1858,
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     960,   1052,   2603,   2104,
    2902,   2497,   1943,   1750,
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    -717,  -1053,  -1427,  -1766,
   -1755,  -1876,  -1736,  -1221,
   -1044,   -428,    101,    111,
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      49,   -213,   -779,   -856,
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    -964,   -349,   -572,   -634,
    -666,   -553,   -279,   -140,
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      31,   -424,   -517,   -715,
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    -611,   -629,   -445,   -358,
      79,      0,    410,    508,
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     495,    448,    213,   -179,
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     555,   1229,   1234,   1000,
     805,    463,     83,   -406,
    -456,   -993,   -750,   -829,
    -686,   -706,  -1102,   -850,
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    -544,   -443,   -398,   -402,
    -669,   -537,   -101,    130,
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     718,    254,     49,   -785,
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    -846,   -220,   -525,   -473,
    -502,   -698,   -391,   -602,
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      41,     42,   -549,   -307,
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      96,    295,   -224,   -104,
    -370,   -728,   -448,   -790,
    -623,   -885,   -421,   -348,
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    1052,   1260,   1218,   1017,
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     861,    970,    683,    413,
     469,     -9,      9,    -22,
    -622,   -266,  -1094,   -580,
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    -456,   -430,   -290,   -260,
      64,    145,    405,    729,
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     917,   1381,    511,    548,
     537,     44,    639,    298,
     446,    364,    193,    279,
     183,     41,    -66,    -30,
    -257,   -544,   -662,   -965,
    -656,   -394,   -308,   -123,
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     615,    627,    477,    201,
     270,    -81,   -300,   -393,
    -398,   -553,    -75,   -376,
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    -672,   -884,   -637,   -566,
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    -503,  -1164,  -1199,  -1088,
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    -682,   -720,   -558,   -740,
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    -222,   -358,   -206,    348,
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    -456,   -385,   -532,   -916,
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    -945,   -629,   -462,    253,
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      -8,   -542,   -353,   -734,
    -819,   -847,   -859,   -458,
    -129,      7,    338,    594,
     455,    554,    463,    100,
     -50,   -499,   -973,  -1110,
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    -426,    164,    157,    211,
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    -110,    209,   -960,   -565,
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    -908,   -627,   -862,   -525,
    -263,   -245,    318,    218,
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     359,    192,   -430,   -267,
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    -484,   -375,     -3,    300,
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     739,      6,    186,   -129,
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    1079,    607,    773,    279,
     611,    590,    708,   1287,
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    -520,   2070,   2592,   2193,
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     236,   -933,   -155,   2065,
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    -328,   3075,   4755,   1930,
   -2878,  -6191,  -5637,  -1693,
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   -2411,   1150,   2343,   2478,
    2133,   -100,  -1580,     76,
    3321,   5606,   6517,   6549,
    7011,   7449,   6393,   3695,
     903,    903,   2992,   4075,
    3480,   2551,   1908,    598,
   -1620,  -1990,   -965,  -1763,
   -2923,  -1895,    199,   1019,
     -44,  -2285,  -3493,  -2981,
   -1129,    889,   1952,   2646,
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    3319,   -531,  -3917,  -3203,
    -127,   2351,   3123,   2141,
    -588,  -3778,  -4408,   -988,
    3541,   4913,   2090,  -2546,
   -6279,  -6507,  -3106,    939,
    2886,   1203,  -2380,  -4062,
   -2289,    798,   1785,    554,
    -141,     88,   -267,   -803,
    -410,   1138,   2485,   2641,
    2367,   1802,    575,    986,
    5085,   8343,   6876,   2112,
   -2733,  -4985,  -4912,  -2926,
     716,   3989,   4090,    504,
   -3354,  -4401,  -2551,   1226,
    3389,   2482,   1652,    378,
   -2326,  -4177,  -3190,    -50,
    2731,   3588,   2634,    537,
    -728,   1543,   5573,   6309,
    1464,  -4468,  -5479,  -2381,
    -323,   1221,   3320,   2377,
    -959,  -4758,  -5433,  -1829,
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    -945,   1029,   1689,   1263,
    -108,  -1272,  -2064,  -3087,
   -2856,  -1790,   -821,    401,
    1553,   1866,    697,  -1037,
   -2013,  -2598,  -2706,  -1263,
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     179,   3110,   3324,    645,
   -1347,    121,   2751,   3075,
    1132,   -626,  -1023,   -734,
     698,   2267,   1909,    309,
    -235,    982,   2493,   1623,
   -1985,  -4188,  -3255,  -2450,
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    -433,  -1871,  -2542,  -2147,
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    -173,  -1386,  -3172,  -2306,
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    -597,   2183,   3509,   3278,
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    1135,   -644,  -2980,  -3447,
   -2347,  -2038,  -2090,  -2165,
   -2666,  -3283,  -3004,   -220,
    3783,   5210,   3547,    701,
   -2138,  -3368,  -1563,   1682,
    2122,    364,    104,   1722,
    4587,   7017,   6982,   4467,
    2360,   2349,   2461,   1262,
     -65,   -139,   -196,  -1353,
   -3037,  -3888,  -2824,  -1661,
   -2554,  -3325,  -2455,  -2120,
   -3408,  -5336,  -5805,  -4074,
   -1312,    645,    645,   -613,
   -1398,   -468,   1343,   2767,
    2969,   1984,   1170,   1795,
    3803,   5315,   4806,   2552,
    -604,  -3355,  -3588,   -635,
    3027,   3727,   1179,   -181,
    1553,   2966,   2369,   1236,
    1092,   1944,   2560,   2300,
    1113,   -115,    -35,   1695,
    3975,   4908,   3532,   1297,
     686,   1673,   2592,   2115,
     137,  -1863,  -3463,  -4941,
   -5349,  -4342,  -3057,  -1960,
    -738,    501,   1246,   1412,
    2258,   3480,   3338,   1352,
   -1269,  -2294,  -1537,     61,
    1596,   1959,   1502,   1318,
    1433,   1925,   3204,   3947,
    2617,    -48,  -1471,   -380,
    1530,   2089,    835,  -2177,
   -5300,  -5267,  -1266,   3683,
    4902,   1607,  -2917,  -4532,
   -2299,    430,   1439,    482,
   -1134,  -1579,   -723,    404,
    1487,   1493,  -1176,  -3781,
   -2562,    648,   1450,   -188,
    -678,   1007,   3249,   4341,
    3494,    267,  -6030, -10263,
   -6342,   1814,   6479,   5277,
    2139,    623,   -144,   -461,
    1071,   3527,   4180,   2039,
   -1134,  -2860,  -2059,   -554,
    -134,   1008,   1961,    551,
   -1341,  -2428,  -1931,    646,
    2727,   2096,   -218,  -3074,
   -5853,  -6528,  -3406,   1152,
    2579,    693,   -394,   1101,
    2596,   1333,  -1294,  -1270,
     947,   1903,    772,  -2025,
   -4649,  -4027,    201,   4408,
    5453,   3510,   -534,  -3942,
   -3374,   -470,   1364,   1210,
    -155,  -1121,   -746,    885,
    2242,   1386,   -776,  -1449,
     607,   2606,   1108,  -1841,
   -1724,   1323,   3861,   4359,
    2565,   -226,  -2405,  -2934,
    -964,    989,    543,  -2142,
   -4916,  -5117,  -3132,   -854,
    1501,   3645,   3347,    222,
   -2755,  -2283,     17,    -48,
   -1603,  -1479,   -614,  -1367,
   -2504,  -2065,   -397,    878,
     643,   -455,   -663,    358,
    1388,   1030,   -591,  -2276,
   -3509,  -3116,  -1093,   1388,
    2549,   1186,   -335,   -148,
     179,   -532,   -857,    -94,
     538,   -192,  -1242,   -657,
    -511,  -3261,  -5108,  -2053,
    3198,   5491,   2848,  -1058,
   -1485,    308,    421,   -959,
   -2521,  -3849,  -3285,   -507,
    2669,   3785,   1946,   -567,
    -987,    406,   1551,   1899,
    2006,   1459,   -111,  -1310,
   -1467,  -1451,  -2762,  -4842,
   -4167,    306,   5096,   5575,
    2206,   -710,  -1913,  -2729,
   -3477,  -2911,  -1369,   -245,
    -410,  -1157,  -1189,  -1654,
   -1979,  -1255,   -478,   -529,
   -2190,  -3301,  -1695,   1090,
    2496,   1648,   -299,  -2091,
   -4035,  -5202,  -3446,   -949,
   -1024,  -2201,   -858,   2644,
    3793,   1105,  -2177,  -3145,
   -1388,   1213,   2750,   3363,
    2820,    503,  -1626,   -683,
    2200,   3381,   1655,  -1627,
   -3398,  -2821,  -2255,  -2600,
   -3420,  -3856,  -3181,  -1561,
     -65,   -137,  -1748,  -2795,
   -1274,   1465,   2757,   1646,
    -179,   -750,   -309,    837,
    1371,    860,    707,    846,
    1271,   2179,   2447,    978,
   -1334,  -1442,    966,   2025,
     869,   -237,   -173,    -79,
   -1237,  -2796,  -2877,    216,
    3857,   4190,   1978,   -137,
   -1254,  -1784,  -1649,  -1209,
    -790,   -786,  -1413,  -1449,
    -548,    365,   1314,   1838,
      68,  -3459,  -4574,  -1096,
    2465,   2079,   -204,  -1626,
    -647,   1893,   2649,    868,
   -1280,  -2107,  -1803,     67,
    3126,   4113,   1591,  -2509,
   -3601,    311,   4757,   4292,
     492,   -895,   -429,   -199,
     788,   1744,    474,  -2401,
   -3231,   -910,   1481,   1297,
    -710,  -2538,  -3020,  -1656,
     541,   1870,   2109,   1258,
     225,   -554,  -2125,  -3207,
   -2939,  -1570,    633,   1294,
    -898,  -2659,  -1221,   1321,
    2074,   1010,    200,     15,
    -970,  -2108,  -1699,   -705,
    -441,   -497,    229,   1158,
     388,   -960,  -1226,   -337,
     341,    -80,   -499,    -87,
      55,  -2284,  -5128,  -4427,
    -711,   1744,    497,  -2557,
   -4043,  -3435,  -2003,   -223,
     869,    665,   -633,   -891,
     869,   1622,   -117,  -2066,
   -1327,   1946,   4892,   5335,
    3897,   1939,    694,    947,
    1980,   3079,   2946,   1126,
    -198,    383,   1263,    764,
      76,    466,    794,    -37,
   -1693,  -2218,  -1284,   -773,
     323,   2223,   2247,     15,
   -2236,  -2462,    120,   3622,
    5072,   4244,   2119,   -351,
   -2060,   -942,   3377,   6664,
    5595,   1146,  -3237,  -5257,
   -4945,  -2729,    399,   2046,
     429,  -2706,  -3924,  -2245,
     -96,    172,   -625,   -110,
    1300,   1116,   -295,  -1137,
    -458,    876,   1304,   1804,
    3263,   4470,   3909,   2035,
     253,   -661,   -298,    912,
    2272,   2053,     58,  -1116,
      33,   1470,   -564,  -5042,
   -6999,  -5001,  -2550,  -2159,
   -1384,   1697,   3783,   2663,
     461,   -771,   -925,  -1433,
   -1585,    237,   2984,   4544,
    4167,   3563,   3813,   4130,
    3265,   1421,    208,    283,
    1220,   2367,   3014,   2241,
     -86,  -2783,  -3768,  -2687,
   -1582,  -1250,   -720,    142,
     213,   -840,  -1587,   -727,
      33,   -996,  -1417,    640,
    3245,   4296,   3597,   2015,
      96,  -1501,  -1892,  -1155,
      67,    804,    925,    753,
      87,  -1044,  -2325,  -2361,
    -891,   -402,  -2213,  -4060,
   -2949,     81,   1406,    395,
    -400,     27,    399,    861,
    1606,   2504,   3595,   4006,
    3703,   3459,   3871,   4050,
    3262,   1674,   -151,   -868,
     167,   2189,   3437,   2684,
    -206,  -2956,  -3277,  -1730,
    -337,   -283,   -793,  -1180,
   -1549,  -2496,  -2482,     40,
    2539,   3409,   3129,   1885,
    1149,   1673,   2360,   2198,
    1495,   1393,   1776,   2211,
    1887,    673,   -443,   -880,
   -1148,  -1953,  -2535,  -2369,
   -1444,   -900,  -1255,  -1466,
   -1306,  -1388,  -2779,  -4883,
   -5111,  -3062,   -727,    861,
    1047,    336,    142,   1253,
    2889,   3572,   2615,    385,
    -248,   1012,   1702,   1633,
    1727,   2046,   1641,    504,
     180,    873,    520,  -1231,
   -2048,  -1042,     14,    253,
     320,    -51,  -1271,  -2047,
   -1307,    330,   1688,   1552,
     -29,  -1022,     72,   2058,
    2849,   2040,   1714,   2604,
    3237,   2727,   1775,   1455,
     965,    590,    159,  -1021,
   -1773,  -1497,   -613,    -21,
    -586,  -2199,  -3599,  -3975,
   -3501,  -3937,  -4738,  -3642,
   -1445,   -493,  -1351,  -1510,
    -775,   -901,  -2029,  -2100,
      85,   2587,   3839,   3756,
    3383,   2825,   1654,    793,
    1439,   1952,    690,   -583,
     -68,   1433,   1102,   -363,
    -195,    595,   -396,  -2407,
   -3415,  -3256,  -3206,  -4052,
   -4171,  -1961,   1203,   2639,
    2024,     85,  -1713,  -2429,
   -1307,   2905,   6137,   4388,
      19,  -2047,  -1200,   -190,
     229,    591,   1265,   1114,
    -373,  -2506,  -3010,  -1371,
    -530,   -762,   -907,   -501,
       7,    137,     92,    -93,
    -650,  -1713,  -1549,   -119,
     417,   -164,   -684,    288,
    2602,   4573,   5215,   4726,
    2929,   -659,  -4293,  -5079,
   -2327,   1224,   2269,    174,
   -2684,  -4051,  -3701,  -1475,
    1117,   1674,    191,  -1789,
   -2582,  -1656,   -152,    377,
     -66,   -198,   -280,  -1257,
   -2122,  -1662,   -540,    262,
    1951,   4387,   4926,   2731,
    -461,  -1803,  -1267,   -982,
   -1370,  -1028,    245,    595,
     500,    729,     84,   -582,
     -65,    895,   1098,   -587,
   -3190,  -4116,  -2508,   -110,
    1445,   2317,   2702,   1967,
    -193,  -2427,  -2590,    300,
    3595,   4077,   2276,    173,
   -1339,  -2023,  -1297,   -363,
    -337,   -576,   -955,  -1094,
    -778,   -556,   -402,    554,
    1629,   1297,     -1,  -1158,
   -1466,  -1231,  -1573,  -2602,
   -2827,  -1310,    318,   1064,
    1064,    -38,  -1296,  -1633,
   -1032,    -79,    519,    277,
   -1260,  -3343,  -4536,  -3984,
   -1256,   1739,   2435,    905,
    -760,   -564,     84,    106,
     142,    -23,   -513,  -1930,
   -3076,  -1853,   1546,   3932,
    2626,  -1228,  -4284,  -3557,
    -274,   2590,   3350,   1980,
      -6,  -1248,  -1007,   -307,
    -321,   -588,    103,   1380,
    1778,   1836,   2567,   3197,
    2453,    597,   -861,  -1105,
    -470,    385,    696,    377,
     149,    319,    286,   -791,
   -2459,  -3433,  -3077,  -1753,
    -422,   -107,  -1226,  -2855,
   -3681,  -3255,  -1773,   -185,
     381,    -41,  -1140,  -2302,
   -2886,  -2921,  -2661,  -2124,
    -276,   2173,   2574,    430,
   -2260,  -3764,  -3501,  -1764,
    -240,    274,    425,    -12,
   -1083,   -934,    332,    381,
    -189,    239,   1641,   2629,
    2144,   1001,    495,    680,
     624,    220,    -96,    217,
     655,    312,   -193,    236,
     720,     88,   -257,   -193,
    -239,   -354,   -373,   -351,
   -1358,  -2516,  -2266,   -244,
    1523,    952,  -1257,  -2473,
    -607,   2768,   4570,   3071,
    -224,  -2237,  -1702,   -229,
     428,    187,  -1059,  -2311,
   -1848,    -31,   1075,   1058,
     414,   -369,  -1064,  -1818,
   -1421,    -87,   -201,  -2198,
   -3582,  -2368,     76,   1110,
     657,   -112,   -875,  -1672,
   -1626,   -320,    912,    972,
       6,   -311,   -333,  -1568,
   -3173,  -2763,   -256,   1275,
    1240,    729,    224,   -211,
    -464,    -93,    860,   1782,
    1615,    157,  -1029,   -229,
    1772,   3148,   3063,   2045,
     763,      0,   1012,   2295,
    1536,   -593,  -2278,  -3180,
   -3742,  -3155,   -612,   2545,
    3264,    369,  -3020,  -3602,
   -1378,    902,   1217,    115,
    -986,  -1537,  -2052,  -2402,
   -2754,  -2361,   -418,   2028,
    3356,   2700,   1327,    487,
     303,   -172,   -864,  -1449,
   -1113,    583,    870,   -680,
   -2386,  -2929,  -2107,  -1135,
    -598,   -145,    381,    -82,
   -1592,  -2398,  -1477,   -108,
     130,  -1222,  -3287,  -4570,
   -4023,  -1172,   2464,   3530,
     900,  -1423,   -766,    866,
    1605,   1959,   2437,   1958,
     595,   -559,   -699,    364,
    1818,   2249,   1321,    270,
      63,    692,   1179,   1429,
    1766,   1869,   1439,    823,
     151,   -795,   -984,   -137,
     830,    292,   -786,   -231,
    1219,   2452,   1824,   -698,
   -2669,  -1932,    238,   1270,
     849,   -951,  -2417,  -1978,
    -322,   1534,   2644,   1978,
    -170,  -2566,  -3710,  -2367,
     176,   1711,   1327,   -184,
   -1495,  -1830,  -1543,  -1247,
    -838,   -398,   -246,   -460,
    -483,   -468,   -577,   -777,
   -1206,  -1911,  -2941,  -2972,
   -1071,   1569,   2339,    597,
    -882,   -739,   -515,   -922,
    -818,    697,   2675,   3195,
    1965,   1187,   2634,   4219,
    3204,     80,  -1909,   -414,
    2447,   3827,   2990,    849,
    -399,    -36,   1284,   2885,
    3198,   1401,   -980,  -2530,
   -2732,  -1910,  -1716,  -2282,
   -2469,  -2172,  -1538,   -671,
    -218,  -1035,  -2258,  -2080,
    -294,   1515,   1510,   -232,
   -1946,  -2658,  -2757,  -2728,
   -2516,  -1940,   -829,    925,
    2377,   2628,   1854,    876,
     515,    892,   1155,    374,
    -548,   -675,     25,    959,
    1185,    267,  -1349,  -2244,
   -2154,  -1693,  -1690,  -2051,
   -2130,  -1889,  -1655,  -1608,
    -789,   -123,    -15,    -55,
    -840,   -668,   1010,   2850,
    3655,   3308,   3030,   2972,
    2836,   1997,    666,     -4,
      78,    933,   2333,   3069,
    2602,   2083,   1507,    124,
   -1511,  -2382,  -1594,   -125,
     823,   1055,    403,   -514,
   -1072,  -1383,  -1606,  -1540,
    -598,   1373,   2698,   1981,
     321,   -581,  -1067,  -2304,
   -3084,  -2132,   -818,   -614,
   -1128,   -961,    499,   2013,
    2042,    728,   -828,  -1580,
    -411,   1488,   1372,   -537,
   -1888,  -1156,    790,   1588,
     345,  -1373,  -1852,   -974,
     384,    836,    160,   -255,
     -34,   -274,  -1078,  -1435,
   -1008,   -398,    130,    905,
    1797,   2485,   2668,   2112,
     819,   -166,    686,   3034,
    4363,   3172,   1475,   1564,
    2948,   3421,   1983,   -165,
   -1126,   -218,    734,    345,
    -839,  -1508,   -710,    143,
    -477,  -2123,  -3129,  -2703,
   -1662,  -1250,  -2254,  -2807,
   -1842,   -679,   -332,   -593,
     -89,    655,    554,   -605,
   -1619,   -515,   1823,   2750,
    1525,     17,   -203,    823,
    1402,    793,    159,     33,
     301,    780,   1653,   2444,
    2370,   1369,     84,  -1180,
   -1818,   -909,    374,    979,
     607,    -41,    238,    703,
      16,  -1767,  -2585,  -1776,
    -592,    584,   1039,    317,
    -197,    658,   2132,   2640,
    1147,  -1194,  -1571,    199,
    1939,   2348,   1795,   1967,
    3010,   3705,   2840,    648,
   -1018,  -1736,  -1327,    -14,
    1255,   1596,   1118,    510,
    -376,   -910,   -913,   -537,
    -225,   -276,   -448,   -598,
    -444,   -730,  -1468,  -2243,
   -2597,  -2181,  -1312,   -248,
     706,   1828,   2734,   2292,
     412,  -1038,   -702,    536,
    1483,   1371,   1127,   1753,
    2447,   2749,   2433,   1403,
     372,     -1,      3,    -41,
     -38,   -201,   -572,   -851,
    -891,  -1075,  -1180,  -1035,
   -1258,  -1250,   -407,    913,
    1623,   1027,   -440,  -1847,
   -1955,   -682,    741,   1745,
    1940,   1083,    672,   1259,
    1682,    975,   -352,   -507,
     725,   1538,   1118,    187,
    -976,  -1700,  -1375,   -284,
    1065,   1625,    995,    332,
     -36,   -259,   -378,   -394,
     167,    573,    698,    562,
     844,   1636,   1663,   1345,
    1025,    528,   -570,  -1425,
   -1422,   -814,    243,    403,
    -916,  -2482,  -3034,  -2579,
   -1575,   -219,   1153,   1371,
     793,    359,    466,    495,
    -808,  -2400,  -3226,  -2539,
   -1012,    526,   2089,   2752,
    2046,     83,  -1792,  -2313,
   -1577,   -461,    506,   1370,
    1777,   1278,    320,   -481,
   -1179,  -1628,  -1548,   -905,
     648,   2560,   3432,   3270,
    2428,   1323,    150,   -743,
    -955,   -367,   1396,   3472,
    4485,   4126,   3191,   1430,
    -421,   -861,   -146,    873,
    1375,   2057,   3176,   3271,
    1384,  -1146,  -3108,  -4110,
   -3668,  -2204,   -646,     26,
     227,     78,   -963,  -2291,
   -2904,  -2268,   -877,   -453,
   -1192,  -1078,   -131,    523,
    1083,   1852,   2665,   3136,
    2806,   1600,   -156,   -991,
     -49,    996,    901,    130,
    -300,    -54,    386,    -15,
   -1547,  -2675,  -1908,   -138,
     263,  -1161,  -2556,  -1993,
    -243,    137,  -1164,  -1937,
    -789,   1179,   2156,   1741,
     758,    249,    141,   -702,
   -1846,  -1880,   -351,   1716,
    2710,   2337,   1358,   1095,
    2181,   2999,   2298,   1131,
     875,   1226,    962,    353,
     862,   3080,   4468,   2837,
     -11,  -1310,   -555,    886,
    1859,   1376,    547,    863,
    1817,   2121,    983,   -924,
   -2307,  -2344,  -1716,  -1212,
   -1018,   -109,    761,    123,
    -978,  -1664,  -1123,    -36,
     288,   -170,    -15,   1357,
    2798,   3273,   2515,   1193,
     -84,   -316,    209,   1084,
    2175,   3019,   3848,   3690,
    2069,    182,   -632,   -161,
     754,   1118,    725,    148,
    -205,    -19,    540,    495,
    -742,  -1884,   -984,   1120,
    1674,    473,   -106,    958,
    1971,   1745,    554,    -68,
    1146,   2871,   3386,   2357,
     997,    210,    478,   1510,
    2152,   2337,   2283,   2253,
    1833,    800,   -108,   -357,
      69,    185,   -613,  -1634,
   -2031,  -1311,    132,    995,
     378,   -629,   -852,   -978,
    -858,      1,   1274,   1998,
    1534,    703,    166,    394,
    1008,   1016,    545,    396,
     799,   1242,   1109,    462,
    -160,   -220,    180,    310,
       0,   -833,  -1547,  -1564,
    -798,    250,    565,    453,
     437,    672,    701,    495,
     282,    208,    618,    878,
     772,    919,   1811,   2958,
    3351,   2713,   2023,   1942,
    1885,   1298,    248,   -255,
      89,    614,    866,    816,
    1173,   2429,   3653,   3905,
    3467,   2630,   1674,    982,
     845,   1161,   1273,   1293,
    1582,   1650,   1073,    231,
     -49,    357,   1074,   1653,
    1566,    983,    234,   -682,
   -1133,   -225,   1310,   2196,
    1977,    958,    241,    315,
     535,     53,   -760,  -1106,
    -633,    305,   1351,   2415,
    2404,   1410,    386,   -121,
    -115,     93,    696,   1651,
    2532,   2577,   2027,   1772,
    1930,   1778,   1250,   1163,
    1852,   2750,   2506,    925,
    -584,   -605,    500,   1749,
    2312,   1490,    -46,   -938,
   -1099,   -852,   -281,   -474,
    -618,    -53,    907,   2139,
    3024,   3638,   3656,   3078,
    2165,   1898,   2304,   2236,
    1371,   1050,   2218,   3028,
    2611,   1514,   1207,   1888,
    2024,    822,  -1134,  -2037,
   -1146,    406,   1201,   1009,
     177,   -461,   -994,  -1747,
   -2060,  -1410,    -79,   1284,
    1972,   1626,    955,    273,
    -247,  -1162,  -2159,  -2279,
   -1389,     29,    850,   1209,
    1500,   1843,   1515,    652,
     179,    495,   1413,   1929,
    1955,   2185,   3054,   3723,
    3620,   2487,    859,    211,
    1080,   2079,   1418,    234,
     421,   2557,   4746,   3982,
     865,   -773,     84,    451,
    -497,  -1035,    -92,   1988,
    3488,   3129,   1214,   -695,
   -1022,    -53,    830,    773,
     649,   1387,   1698,    933,
     203,    997,   3062,   3684,
    1750,  -1060,  -2412,  -1689,
    -467,    100,    334,    667,
     718,    602,    419,     98,
    -115,   -100,     94,    286,
     689,   1076,   1666,   2383,
    2534,   1762,    633,    404,
    1035,   1813,   2102,   2306,
    2378,   1946,   1056,    -88,
    -798,   -800,    269,   1700,
    1973,   1019,    447,    757,
    1147,    744,   -288,   -694,
    -143,    872,   1502,   1577,
    1228,   1290,   2507,   3725,
    3184,    968,  -1245,  -1740,
    -414,    909,   1759,   2187,
    1919,   1129,    102,   -835,
    -823,    -33,    329,    -53,
    -649,      7,   1416,   1991,
    1420,    914,   1037,    971,
     802,    613,    208,   -396,
    -628,   -231,    774,   1680,
    1548,    674,    389,   1018,
    1425,   1118,    347,   -635,
   -2055,  -2621,  -1635,    -31,
    1313,   1730,   1537,    926,
     195,   -530,   -545,    350,
    1292,   1861,   1450,     44,
   -1677,  -2475,  -1378,   1178,
    3051,   2145,   -152,  -1052,
     -72,   1262,   1523,    788,
    -222,   -199,   1101,   2054,
    1959,   1344,   1033,    959,
     606,    255,    300,   1095,
    2291,   3002,   2894,   1987,
     958,    245,    -56,     62,
     439,   1078,   1551,   1851,
    1593,    940,    345,    -68,
      91,    352,    718,    804,
     374,   -523,  -1459,  -1141,
    -187,    200,    -66,   -540,
    -838,   -907,   -576,     70,
     699,   1199,   1416,   1087,
    -466,  -2437,  -2294,    420,
    2901,   2834,   1205,   -125,
     -13,    965,   1624,   1680,
    1145,    550,    299,    514,
     890,   1208,   1095,    491,
      89,    194,    419,      0,
    -212,    281,    421,     -2,
    -657,  -1289,  -1877,  -1895,
   -1209,   -360,    558,   1446,
    1895,   1535,    847,   -105,
    -993,  -1152,   -286,   1444,
    2566,   2510,   2098,   2414,
    3081,   3103,   2206,    563,
   -1233,  -2467,  -2459,  -1750,
    -768,     58,    358,    251,
    -576,  -1822,  -2038,   -583,
     907,    926,   -487,  -2257,
   -2871,  -1754,    442,   2886,
    4195,   3203,    241,  -2336,
   -2184,    265,   2765,   3171,
    1592,   -344,   -895,   -407,
    -309,  -1139,  -2374,  -2692,
   -2213,  -1267,   -435,    509,
    1876,   2984,   3059,   1465,
   -1140,  -3024,  -2548,  -1064,
    -134,    704,   1935,   2929,
    2805,   1692,     98,   -816,
    -790,   -562,   -528,   -745,
    -842,   -635,   -599,   -737,
     -86,   1607,   2740,   1593,
   -1564,  -3713,  -2611,    680,
    4102,   5020,   3289,   1119,
     366,   1109,   1972,   2365,
    1704,    302,  -1066,  -1529,
    -777,    574,   1482,   1291,
     432,   -997,  -2654,  -3879,
   -3752,  -2317,   -548,    496,
    -136,  -1925,  -2750,  -1145,
    1438,   2378,   1018,   -487,
    -486,    549,   1632,   2206,
    1576,   -272,  -1265,   -121,
    1908,   2570,    882,  -1225,
   -1103,    974,   2841,   2870,
     781,  -1925,  -2701,  -1038,
     999,   1492,    307,   -428,
     -49,    510,    513,    -98,
    -221,    352,    968,    436,
   -1272,  -2277,  -1132,   1284,
    2834,   2526,   1111,   -156,
    -814,   -221,    924,    953,
     111,   -568,   -546,    279,
    1306,   1586,   1169,    748,
     373,     62,     20,   -163,
    -662,  -1132,  -1262,   -902,
    -768,  -1158,  -1126,    -81,
    1245,   1449,    394,   -914,
   -1574,  -1294,   -382,    556,
     804,    497,    289,    680,
     911,   -142,  -1915,  -2495,
    -654,   1854,   2971,   2227,
     290,  -1116,   -782,    603,
    1448,   1285,    407,   -767,
   -1652,  -1185,    602,   2418,
    3029,   1645,   -728,  -2057,
   -1718,   -599,    550,   1007,
     880,    639,    131,   -376,
    -459,     54,    575,    254,
   -1106,  -2615,  -2968,  -1603,
     446,   1223,    125,  -1357,
   -1788,  -1462,   -799,    216,
    1115,   1166,    451,   -398,
    -585,    -93,    575,   1104,
     866,    202,   -200,    116,
     606,    500,     -4,   -330,
      95,    542,    303,   -511,
   -1177,  -1056,   -536,   -290,
    -512,   -418,    441,    933,
     262,   -662,   -881,   -146,
    1292,   2044,   1090,   -407,
   -1005,   -310,    666,   1024,
    1064,    850,    192,   -850,
   -1092,   -172,    571,     22,
   -1470,  -2570,  -2545,  -1279,
     365,    999,    261,   -972,
   -1731,  -1523,   -748,    193,
    1115,   1836,   2277,   1919,
    1479,   1652,   1986,   1811,
     913,    272,    591,   1763,
    2671,   1694,   -492,  -1639,
   -1176,   -292,   -167,   -850,
   -1990,  -3007,  -3340,  -2995,
   -2065,   -693,    621,    875,
    -215,  -1361,  -1066,    421,
    1684,   1361,   -195,  -1037,
    -483,    563,   1154,   1311,
     946,    329,   -117,   -496,
    -468,    106,    925,   1032,
     241,   -907,  -1835,  -1962,
   -1702,   -981,   -207,   -251,
    -987,  -1954,  -2083,   -902,
    1127,   2674,   2437,    736,
    -703,   -300,   1279,   2263,
    1830,    646,   -302,   -227,
     852,   1762,   1831,    662,
   -1098,  -1706,   -790,    316,
     595,    174,   -409,   -680,
    -344,    656,   1804,   1879,
     218,  -1825,  -2556,  -1854,
    -216,   1507,   2146,   1643,
     409,   -992,  -1642,  -1351,
    -996,  -1407,  -2084,  -1836,
    -476,    746,   1079,    430,
    -323,   -920,  -1653,  -1606,
    -770,    271,    609,    382,
      18,   -446,   -899,  -1122,
    -533,    359,   1009,    756,
      51,   -246,   -180,    282,
    1020,   1507,    846,   -498,
    -765,    329,   1398,   1607,
     977,    738,   1221,   1586,
    1266,    489,    177,    245,
     591,    809,    896,    776,
     530,    626,    604,    301,
    -366,   -921,   -915,   -487,
       3,    454,   1069,   1697,
    1891,   1241,    367,   -127,
    -402,   -609,   -870,   -672,
     285,   1029,    419,  -1434,
   -2883,  -2985,  -1741,     40,
     726,    -55,  -1313,  -1635,
   -1053,  -1129,  -2190,  -2860,
   -2053,    -84,   1554,   2241,
    2007,   1035,     23,   -501,
     121,    926,    978,    676,
     235,    -95,     97,    842,
    1305,    999,     78,   -791,
   -1016,   -746,   -647,   -605,
    -208,    237,     79,  -1204,
   -2492,  -2461,  -1283,   -203,
      54,    216,   1067,   2300,
    3017,   2416,    560,  -1272,
   -2163,  -1902,   -936,    316,
    1782,   2670,   2539,   1614,
     445,    -52,    -45,   -151,
    -529,  -1106,  -1503,  -1443,
    -765,    145,    807,    619,
    -655,  -2019,  -2209,  -1173,
     -22,    431,     19,   -603,
    -786,   -414,      6,   -108,
    -788,  -1390,  -1040,     29,
     937,   1147,    876,    578,
     618,    669,    233,   -760,
   -1500,  -1231,   -561,    153,
     327,     30,   -446,   -847,
    -214,   1086,   1907,   1713,
    1246,   1092,   1270,   1372,
     898,    413,     42,    -33,
     743,   1669,   1483,     99,
    -960,   -350,   1251,   1749,
     268,  -1763,  -2460,  -1149,
     883,   1835,   1209,   -611,
   -2224,  -2298,  -1118,    345,
     911,    151,   -822,   -700,
     606,   1527,   1009,   -868,
   -3046,  -3705,  -2651,   -833,
     140,   -476,  -1256,   -628,
    1113,   1673,    382,  -1420,
   -2552,  -2487,  -1543,   -515,
     193,    874,   1385,   1564,
    1347,    686,   -358,  -1127,
    -823,    188,   1302,   1388,
     313,   -559,   -311,    541,
     623,   -152,   -973,  -1186,
    -534,    574,    835,    107,
    -545,   -825,   -838,  -1020,
   -1479,  -1631,  -1130,   -672,
    -638,   -540,    177,   1283,
    1769,   1386,    442,   -465,
    -843,   -547,    351,   1184,
    1154,    391,   -245,   -377,
    -669,  -1272,  -1203,   -527,
    -157,   -253,   -125,    326,
     573,    279,     91,    733,
    1139,    532,   -490,   -708,
    -193,     32,   -383,   -997,
    -795,    -90,    474,    738,
     553,    -73,   -772,   -735,
      14,    547,    100,   -904,
   -1400,  -1079,   -681,   -451,
     190,    740,    348,   -888,
   -1856,  -1901,  -1642,  -1401,
   -1654,  -2273,  -2636,  -2656,
   -2217,  -1347,   -240,    -18,
    -896,  -1783,  -1730,   -629,
     457,    583,   -434,  -1263,
   -1059,      0,   1324,   1685,
     801,   -157,     90,   1196,
    1950,   1559,    825,    809,
     896,    219,   -814,  -1137,
    -529,    577,   1218,    736,
    -331,   -810,   -405,    209,
     206,   -580,   -916,    209,
    1770,   1811,    746,     93,
     236,    117,  -1109,  -2163,
   -1849,   -710,   -135,     22,
     316,    604,    667,    512,
     337,   -385,  -1594,  -2440,
   -2487,  -1793,   -638,    417,
     958,    436,   -706,  -1013,
     142,   1474,   1103,   -261,
   -1290,  -1193,   -305,    224,
    -118,   -893,   -996,   -421,
     267,    231,   -347,   -806,
    -694,     77,    765,    998,
     644,    246,    256,    354,
     575,   1051,   1390,   1073,
    -234,  -1276,   -887,    401,
    1212,    902,    473,    129,
    -136,   -426,   -704,   -905,
    -980,   -615,   -209,    186,
     246,   -446,  -1437,  -1760,
   -1332,   -737,   -687,  -1084,
   -1457,  -1703,  -1006,    562,
    1938,   1991,   1106,    101,
    -584,   -537,    -35,    714,
    1266,   1509,   1325,   1119,
     963,    700,    620,    150,
    -434,  -1034,  -1539,  -1140,
     152,   1664,   2069,    879,
    -919,  -1838,  -1521,   -965,
    -741,   -594,   -117,    346,
     800,   1066,    608,   -440,
   -1255,   -637,    782,   1488,
     878,    -68,   -494,   -237,
     560,    809,    448,   -255,
    -783,   -788,   -413,   -129,
    -492,   -842,   -653,    214,
     814,    186,  -1101,  -1879,
   -1328,    -99,    732,    967,
     755,     77,   -649,   -829,
    -323,    255,    208,   -301,
    -886,  -1076,   -612,    641,
    2031,   2017,    579,   -794,
   -1007,   -850,  -1242,  -1803,
   -1890,  -1089,    296,   1578,
    1801,   1177,    370,    -86,
     735,   2038,   1894,   -426,
   -2754,  -2248,    730,   2768,
    1695,   -478,   -812,    924,
    2439,   1863,   -394,  -2673,
   -3327,  -1850,    356,   1627,
    1392,    215,   -547,   -313,
     489,    861,     53,  -1213,
   -1735,   -673,   1383,   2757,
    2930,   1989,    734,   -235,
    -963,  -1134,   -634,    601,
    1505,   1032,   -318,  -1396,
   -1435,   -874,   -465,   -482,
   -1117,  -1885,  -1876,   -912,
     432,    839,    308,   -337,
    -742,   -485,     92,    566,
     825,    873,    629,    338,
     513,    895,    652,    -96,
    -413,   -140,    142,    -93,
    -597,   -698,   -231,    329,
     995,   1775,   2187,   1833,
     641,   -706,  -1701,  -1947,
   -1490,   -546,    493,    872,
     693,    444,    583,    557,
     -19,   -510,   -447,    -80,
    -200,   -493,   -602,   -242,
     455,    722,    722,    559,
     257,    -40,   -210,   -367,
    -412,    130,   1256,   2279,
    2361,   1253,   -179,   -702,
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    -566,    236,    678,    916,
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     763,    358,   -189,   -429,
    -279,    -84,     -8,     63,
       1,     57,    304,    819,
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      60,   -130,   -794,  -1617,
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     389,   -566,   -372,    621,
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      30,    934,   1800,   1805,
     995,     31,   -485,   -294,
     247,    546,    289,   -292,
   -1001,  -1043,   -178,   1045,
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    -465,    -55,      1,   -291,
    -490,   -218,    174,    558,
     867,    807,     54,   -750,
    -638,    184,    593,     -1,
    -678,  -1026,  -1151,   -577,
      49,    150,   -299,   -846,
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    -334,     37,    746,    778,
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    -443,   -787,   -450,    567,
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   -1634,  -1685,  -1164,   -203,
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    -495,   -229,     -5,     48,
     -94,   -352,   -676,   -168,
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    -349,    351,    446,   -255,
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   -1174,  -1630,  -1159,    -91,
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    1503,    711,   -457,  -1192,
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     634,    725,    816,    355,
     -40,   -226,   -538,  -1218,
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     657,   -435,  -1299,  -1384,
    -891,   -583,   -553,   -372,
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   -1191,  -2105,  -1601,   -265,
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    1917,    762,   -870,  -1915,
   -1985,  -1696,  -1416,  -1058,
    -425,    320,    907,    968,
     251,   -942,  -1544,   -846,
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    -751,   -215,   1032,   2138,
    2573,   1763,    577,   -215,
    -531,   -424,   -364,   -104,
     390,    798,    692,    374,
     292,    723,   1461,   1655,
     921,   -408,  -1219,  -1356,
    -944,   -395,   -131,     74,
     249,    688,    911,    299,
    -655,   -938,   -411,    243,
     340,   -124,   -438,   -348,
    -107,    150,    158,   -478,
   -1198,  -1480,  -1036,     69,
    1070,   1174,    329,   -524,
    -727,   -122,    849,   1280,
     879,    540,    725,   1248,
    1526,   1297,    726,   -298,
   -1125,  -1613,  -1538,  -1103,
    -795,   -680,   -618,   -101,
     723,   1601,   1759,    968,
    -242,   -680,    -11,    729,
     921,    335,   -228,   -264,
     307,    818,    772,    625,
     168,   -567,  -1267,  -1346,
    -229,   1233,   1724,    666,
    -783,   -957,   -202,    412,
     107,   -335,    132,    837,
     737,   -246,   -982,   -994,
    -455,     87,    214,    -54,
      66,    880,   1295,    716,
    -421,   -371,    942,   1801,
    1167,   -314,   -732,    164,
     648,   -229,  -1650,  -2384,
   -1932,  -1242,   -772,   -441,
      21,    522,    338,   -174,
    -484,   -177,    494,    997,
     961,    407,   -323,   -712,
    -441,    -11,    106,   -119,
      93,    696,   1246,   1422,
    1122,    738,    212,   -508,
   -1039,   -917,   -566,   -359,
    -396,   -248,     46,     54,
    -269,   -512,    -56,    471,
    1056,    999,     98,   -713,
    -823,     49,    757,    946,
     406,   -463,   -723,   -383,
     -72,   -243,   -404,   -209,
     550,   1515,   2040,   1347,
    -422,  -1736,  -1871,  -1274,
    -571,    211,   1073,   1646,
    1490,    640,     21,    129,
     280,    270,    638,   1348,
    1540,   1015,    391,    -51,
     -81,     50,    139,    323,
     527,    443,    -54,   -565,
    -712,   -216,    555,    761,
      30,  -1034,  -1634,  -1298,
    -169,    850,   1234,    837,
     -24,   -800,  -1377,  -1531,
   -1025,   -402,    -59,    -20,
     -32,    392,    686,    353,
     200,    781,   1353,   1004,
    -395,  -1617,  -1703,   -897,
     128,    493,    236,    -39,
     419,   1431,   2225,   2276,
    1700,    977,    129,   -353,
    -477,   -146,    389,    446,
     -54,   -430,     87,    718,
     883,    388,   -362,   -736,
    -737,   -640,   -815,  -1026,
   -1182,   -875,    -30,    593,
     846,    807,    317,   -496,
   -1192,  -1455,  -1164,   -270,
     914,   1627,   1406,    830,
     459,    168,     85,    463,
    1188,   1522,   1422,   1433,
    1582,   1440,    554,   -377,
    -564,    198,    962,    880,
     194,   -689,   -695,    315,
    1157,    901,   -343,  -1276,
    -831,    250,    716,    -70,
   -1537,  -2351,  -2042,  -1049,
    -115,    599,    964,    889,
     298,   -525,   -967,   -789,
     -51,    784,   1151,    675,
    -192,  -1194,  -1937,  -1898,
   -1116,    -82,    343,    -69,
    -979,  -1691,  -1620,   -584,
     814,   1836,   1992,   1069,
    -813,  -2590,  -2893,  -1672,
     303,   1535,   1640,   1342,
    1376,   1802,   1908,   1273,
      -9,  -1044,  -1304,  -1051,
    -851,   -690,   -425,    153,
     865,   1027,    805,    528,
     393,    369,    638,    940,
    1066,    963,    335,    -90,
     224,   1372,   2450,   2112,
     576,   -836,  -1215,   -752,
     -52,    269,    354,    467,
     322,   -426,  -1495,  -1930,
   -1495,   -468,    341,    284,
    -316,   -578,   -311,   -402,
    -857,   -869,     25,   1233,
    1630,    923,    407,    572,
     844,   1014,    794,    757,
    1013,   1472,   1204,   -201,
   -1620,  -2328,  -1854,  -1135,
    -730,   -478,     24,    644,
     937,   1017,    970,   1108,
     957,    362,   -632,  -1497,
   -1414,   -788,   -151,    437,
     993,   1227,    671,   -483,
   -1233,  -1007,   -230,     30,
    -279,   -508,   -322,    271,
     749,    701,    -16,   -727,
    -647,    140,    936,    641,
    -779,  -2065,  -2253,  -1246,
       7,    620,    522,    639,
    1524,   2172,   2119,   1563,
     635,   -316,   -645,   -472,
     -56,    248,     48,   -339,
    -650,   -211,    875,   2218,
    2841,   2174,   1075,    207,
     -83,   -530,  -1170,  -1454,
   -1050,     34,   1036,   1433,
    1031,    266,   -141,    -13,
     302,    417,    276,    246,
       8,   -938,  -1882,  -2066,
   -1540,   -846,   -271,    253,
     713,    926,    478,   -379,
   -1155,  -1657,  -1755,  -1283,
    -137,    711,    877,    547,
     302,    675,   1026,   1268,
    1179,    735,    102,   -396,
    -372,    -29,    438,    651,
     932,   1293,   1379,   1154,
     471,   -358,  -1172,  -1524,
   -1335,  -1165,  -1083,  -1428,
   -1561,   -945,    165,   1180,
    1208,    732,    504,   1016,
    1312,    681,   -435,  -1443,
   -1492,   -879,     18,    724,
     917,    513,   -159,   -475,
     -82,    756,   1386,   1395,
     846,    628,    637,    667,
     332,   -392,  -1037,  -1230,
    -389,    586,   1062,   1016,
     513,   -167,   -702,   -675,
     189,   1337,   1661,    835,
    -415,   -947,   -696,    -46,
     226,   -363,  -1154,  -1366,
    -784,    -47,    122,    -26,
     290,    893,   1128,    589,
    -523,  -1292,  -1268,   -961,
    -761,   -563,   -259,    170,
     656,   1022,   1050,    617,
    -240,   -719,   -580,   -281,
     143,    341,     69,   -376,
    -357,    482,   1363,   1424,
     634,   -255,   -380,   -122,
      57,   -213,   -711,   -532,
     175,    800,    454,   -314,
    -416,     53,    482,    238,
    -218,   -336,     10,    808,
    1576,   1773,   1375,    831,
     713,    901,   1031,   1038,
     700,      1,   -692,   -597,
     215,    561,   -109,  -1300,
   -2042,  -1658,   -702,   -152,
    -305,   -508,     26,    760,
    1179,    939,    156,   -456,
    -855,   -881,   -291,    655,
    1116,    949,    601,    463,
     964,   1570,   1498,    534,
    -464,   -598,   -196,     74,
    -316,  -1001,  -1052,   -425,
      22,   -161,   -421,   -232,
     219,    190,   -541,  -1491,
   -1909,  -1113,    478,   1797,
    2371,   2359,   1772,    510,
   -1069,  -1782,   -861,    596,
     988,    -57,  -1428,  -2123,
   -1700,   -387,    664,   1117,
     964,    296,   -663,  -1839,
   -2620,  -2349,   -878,    814,
    1870,   1933,    937,   -382,
   -1019,   -739,   -124,    694,
    1069,    882,    303,   -504,
    -861,   -925,   -779,   -773,
    -533,    253,    994,   1092,
     109,   -919,   -794,    612,
    2225,   2736,   1732,   -255,
   -2100,  -2871,  -2354,  -1290,
    -597,    -81,    562,   1218,
    1710,   1571,   1091,    656,
     685,    622,    -36,   -681,
    -940,   -555,   -242,   -548,
   -1298,  -1584,  -1196,   -405,
     374,    546,    174,   -548,
    -986,  -1170,   -600,    602,
    1579,   1581,    632,   -349,
    -709,   -166,    309,    519,
      41,   -525,   -615,   -246,
     563,    783,    575,    158,
     323,   1060,   1916,   2168,
    1584,    731,   -186,   -552,
    -630,   -318,   -182,   -505,
    -954,  -1223,  -1160,   -970,
    -432,     40,    120,   -171,
    -243,    114,    768,    717,
    -255,   -861,  -1018,   -681,
    -205,    217,    542,    437,
     -27,   -611,   -652,    -47,
     522,    490,    -21,   -659,
   -1033,  -1044,   -720,     53,
     724,   1346,   2000,   2185,
    1775,    892,    174,   -181,
    -257,   -454,   -859,  -1233,
   -1286,   -680,    -45,    430,
     497,    332,    312,    495,
    1045,   1345,   1051,    175,
    -681,   -729,    115,    910,
     898,    212,   -722,  -1256,
   -1350,  -1240,   -914,   -383,
     252,    791,   1094,   1185,
    1068,    904,    755,    579,
     365,    218,    -52,   -529,
    -919,  -1235,  -1260,  -1215,
    -884,   -105,    907,   1496,
    1008,    170,   -603,   -754,
     -92,   1183,   2278,   2070,
     771,   -663,  -1242,   -997,
    -475,     83,    582,    920,
     924,    548,    219,    115,
     117,    370,    888,   1362,
    1670,   1703,   1145,    109,
    -861,  -1219,   -986,   -341,
      40,     70,    109,    141,
      72,   -320,   -778,  -1093,
    -577,    215,    503,    295,
    -135,   -114,     61,    166,
     142,    379,    942,   1399,
    1132,     80,   -868,  -1280,
   -1084,   -594,    -13,    431,
     519,    395,     67,   -358,
    -568,   -572,   -223,    142,
     274,    315,    257,    105,
    -373,   -420,     84,    672,
     754,     19,   -707,   -844,
    -630,   -873,  -1114,   -776,
     -14,    590,    470,    200,
     369,    899,   1235,    834,
    -225,  -1117,  -1006,   -247,
     -16,   -630,  -1470,  -1837,
   -1397,   -295,    878,   1773,
    2208,   2271,   2135,   1664,
    1018,    300,   -105,   -381,
    -754,  -1012,  -1099,   -996,
    -780,   -395,    179,    849,
    1074,    978,    634,     83,
    -241,   -353,   -261,    147,
     885,   1641,   2061,   1696,
     780,   -173,   -507,   -191,
     154,    148,   -456,  -1105,
   -1540,  -1492,  -1018,   -444,
      -9,    365,   1037,   1606,
    1476,    321,   -991,  -1836,
   -2021,  -1419,   -601,    110,
     144,   -463,   -841,   -465,
     412,   1108,   1357,   1167,
     857,    527,    136,   -128,
    -213,   -111,     80,    191,
     448,   1143,   1564,   1299,
     628,    -61,   -405,   -264,
      30,    -26,   -204,   -409,
    -222,    224,    527,    689,
     750,    824,    479,    158,
      24,   -220,   -790,  -1760,
   -2458,  -2322,  -1376,   -362,
    -141,   -647,  -1198,  -1234,
    -420,    627,   1361,   1699,
    1885,   1851,   1220,     17,
   -1256,  -1583,  -1001,   -111,
     574,    901,    581,   -420,
   -1498,  -1698,   -616,   1059,
    2353,   2170,   1096,    190,
      77,    452,    809,   1157,
    1220,   1189,    974,    363,
    -744,  -1976,  -2655,  -2161,
   -1032,    -26,    708,   1135,
    1227,    600,     -3,     73,
     826,   1468,   1303,    774,
     318,   -170,   -960,  -1586,
   -1573,   -892,    110,    698,
     705,    549,    165,   -364,
    -900,   -888,   -346,    467,
    1116,    736,     76,   -525,
    -635,   -440,   -281,    -36,
      -6,    239,    578,    702,
     288,   -391,   -802,   -648,
    -132,    406,    731,    816,
    1003,   1157,   1474,   1837,
    1841,   1225,    389,   -533,
   -1326,  -1568,  -1601,  -1518,
   -1258,   -406,    547,   1242,
    1610,   1458,   1047,    549,
     145,   -130,    -17,     73,
     136,    295,    383,    471,
     364,    452,    684,    742,
     555,    318,     87,   -239,
    -593,  -1141,  -1492,  -1435,
    -733,    353,   1127,   1414,
    1185,    914,    455,    -12,
    -351,   -734,  -1169,  -1709,
   -1701,  -1261,   -583,     19,
     208,    280,    437,    995,
    1811,   2180,   1602,    360,
    -675,   -760,   -164,    249,
    -156,   -937,  -1447,  -1414,
    -904,   -304,    205,    239,
     229,    122,    123,    362,
     159,   -402,  -1058,   -678,
     272,    802,    615,   -302,
    -938,  -1205,  -1131,   -970,
    -820,   -324,    202,    319,
     -44,   -596,   -839,    -74,
    1180,   1614,   1147,    524,
     227,    156,    -12,   -155,
     -66,    116,    406,    614,
     607,    356,   -183,   -475,
    -242,    457,   1236,   1633,
    1582,   1144,    592,     10,
    -246,   -233,   -248,   -187,
    -116,   -140,   -423,   -827,
   -1229,  -1246,   -796,    -49,
     699,    588,   -240,  -1128,
   -1538,  -1276,   -600,    159,
     921,   1621,   1997,   1956,
    1199,   -219,  -1754,  -2840,
   -3221,  -2886,  -1938,   -633,
     533,   1092,   1086,   1083,
    1487,   1962,   2310,   2142,
    1450,    466,   -218,   -128,
    -116,   -450,  -1009,  -1322,
   -1160,   -498,    357,    926,
    1212,    812,    209,   -174,
    -310,   -553,  -1151,  -1888,
   -2499,  -2342,  -1631,   -837,
    -300,   -120,   -278,   -527,
    -265,    371,    575,    -61,
   -1136,  -1522,   -859,     42,
     848,   1091,   1136,   1327,
    1338,   1184,    739,    409,
     125,   -292,   -866,  -1282,
    -959,   -151,    722,   1371,
    1662,   1670,   1311,     95,
   -1415,  -2140,  -1812,   -900,
    -385,   -622,  -1003,   -663,
     184,    893,   1060,    573,
     294,    619,    797,     17,
   -1354,  -2085,  -1703,   -758,
      45,    447,    421,     58,
    -586,  -1276,  -1497,   -882,
     271,    910,    579,   -202,
    -734,   -816,   -755,   -640,
    -527,   -405,    -69,    350,
     593,    348,   -243,   -386,
      -8,    449,    597,    605,
     681,    311,   -391,  -1067,
   -1041,    -84,    804,    944,
     330,   -235,   -482,   -770,
   -1021,  -1101,   -781,   -365,
     -37,    547,   1196,   1495,
    1091,    261,   -208,   -240,
     -96,   -102,   -269,   -471,
    -653,   -533,   -122,    699,
    1528,   1975,   1788,    846,
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    -398,   -837,  -1362,  -1397,
   -1377,  -1245,   -909,   -353,
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    -972,  -1010,   -942,   -820,
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   -1912,  -2253,  -1798,   -844,
      35,    180,   -101,   -319,
    -108,    235,    243,    -91,
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   -1338,    -52,    936,    873,
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    -572,  -1072,   -945,   -483,
    -375,   -551,   -750,   -501,
      39,    439,    422,    -73,
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    -441,  -1431,  -2008,  -2079,
   -1633,   -603,    689,   1652,
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   -1814,   -996,    232,   1112,
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   -2026,  -1171,    -95,    336,
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     944,    546,     29,   -309,
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    -539,   -714,   -588,   -352,
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   -1152,   -951,   -843,   -656,
    -327,    143,    830,   1573,
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    -849,   -857,   -770,   -964,
    -976,   -833,   -173,    681,
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   -1043,  -1469,  -1424,   -922,
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    -797,  -1074,   -965,   -587,
    -622,   -473,    -85,     77,
    -233,   -754,   -528,    357,
    1489,   1631,    582,   -778,
   -1614,  -1274,   -603,    -56,
     415,    789,   1004,   1026,
    1004,    759,    352,    -40,
    -337,   -569,   -756,   -642,
    -346,   -192,   -286,     43,
    1428,   3065,   3763,   2849,
     929,  -1089,  -2369,  -2268,
   -1250,   -207,    198,    387,
     733,   1281,   1639,   1479,
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    -293,   -743,   -873,   -641,
    -273,     -3,    129,    279,
     408,    737,   1297,   1377,
     896,    269,     74,    617,
    1026,    858,    185,   -286,
    -140,    132,    251,     52,
    -360,   -910,  -1146,  -1076,
    -697,   -333,   -349,   -390,
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    1493,   1090,     92,   -869,
   -1372,  -1319,   -742,    -48,
     521,    493,    451,    385,
     382,    475,    411,    376,
     299,    336,    167,    -36,
    -296,   -592,  -1258,  -2061,
   -2069,  -1375,   -116,   1084,
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    -888,   -607,   -124,    167,
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    -252,    276,    615,    436,
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    -315,  -1217,  -1731,  -1341,
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   -1443,  -2068,  -1386,   -131,
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     914,      0,   -625,   -591,
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    -367,     49,   -114,   -459,
    -480,     10,    575,    859,
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    -612,   -113,    792,   1475,
     996,    -53,   -633,   -524,
     -77,    128,    285,    331,
     535,    914,    972,    759,
     319,    176,    149,    -25,
    -284,   -548,   -408,   -214,
     -28,     78,    219,    395,
     342,    153,   -335,   -571,
    -431,    -36,    480,    819,
     742,   -194,  -1176,  -1523,
   -1229,   -648,   -176,    203,
     248,     19,   -221,    -93,
     226,    310,     85,   -261,
    -382,   -390,   -225,   -255,
    -404,   -274,    -22,    530,
     658,    125,   -643,  -1208,
    -996,   -511,   -264,   -311,
    -342,   -282,    -89,    229,
     363,    284,   -144,   -661,
   -1018,  -1018,   -925,  -1183,
   -1458,  -1251,   -281,    697,
     936,    782,    572,    308,
     -44,   -455,   -528,   -380,
    -378,   -672,  -1197,  -1481,
   -1558,  -1366,   -821,    -71,
     673,   1268,   1502,    957,
     -34,   -868,   -953,   -345,
     211,    404,    156,   -322,
    -916,  -1639,  -1954,  -1365,
     140,   1796,   2716,   2422,
    1270,    310,   -216,   -212,
    -311,   -754,   -914,   -757,
    -209,    109,    169,    293,
     671,   1165,   1049,    719,
     367,    225,    282,    207,
     122,   -403,  -1165,  -1752,
   -1963,  -1804,  -1358,   -626,
      -1,    508,    571,    224,
     -58,    -41,    292,    547,
     534,    378,    293,     80,
    -180,   -325,   -259,   -121,
    -115,     36,    366,    710,
     829,    672,    382,    180,
    -141,   -311,   -209,   -174,
    -338,   -716,   -779,   -830,
    -899,   -991,   -890,   -375,
      32,    245,     84,    145,
     491,    719,    771,    560,
     320,   -315,  -1268,  -1956,
   -2023,  -1404,   -654,    -83,
     147,    144,    178,    394,
     997,   1386,   1402,   1023,
     304,   -209,   -686,   -864,
    -871,   -725,   -182,    262,
     676,    690,    185,   -587,
   -1376,  -1394,   -627,    708,
    1629,   1501,    587,   -646,
   -1140,   -805,    -59,    239,
    -131,   -615,   -624,     14,
     516,    477,   -164,   -627,
    -205,    848,   1663,   1516,
     439,   -800,  -1244,   -923,
    -457,   -298,   -332,   -585,
   -1080,  -1428,   -838,    426,
    1023,    642,     14,     50,
     562,    716,     61,  -1056,
   -1860,  -1710,   -686,    214,
     304,   -250,   -745,   -513,
     109,    605,    941,    721,
     132,   -484,   -907,   -867,
    -570,   -442,   -720,  -1070,
    -927,   -297,     55,   -161,
    -566,   -244,    688,   1250,
     838,   -221,   -897,   -840,
    -103,    573,    846,    525,
      -1,   -240,   -291,   -115,
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     938,    819,    788,    559,
      -4,   -431,   -495,   -402,
    -366,   -762,   -902,   -647,
     -72,    287,    -68,   -374,
    -276,    235,    518,    323,
    -144,   -493,   -354,    172,
     622,    529,    -57,   -446,
     -79,    372,    445,    157,
      -9,    117,    259,    390,
     269,   -103,   -438,   -434,
    -103,    279,    301,     85,
    -219,   -470,   -446,   -135,
     550,    956,    969,    799,
     694,    820,    778,    617,
     329,    260,    469,    530,
     371,    -38,   -384,   -401,
     -63,    500,    837,    551,
      17,   -236,    -33,    581,
     965,    780,     81,   -812,
   -1351,  -1417,   -914,   -196,
     385,    938,   1233,   1358,
    1129,    730,    671,    638,
     636,    585,    723,   1028,
     840,    -18,  -1040,  -1125,
    -317,    414,    406,   -330,
    -901,   -733,   -225,    204,
     438,    471,    576,    772,
     805,    592,   -152,   -946,
   -1164,  -1092,   -733,   -429,
     -70,    522,   1175,   1746,
    1872,   1509,    484,   -402,
    -552,    -38,    481,    403,
     154,   -104,   -302,   -566,
    -827,   -839,   -370,    476,
    1328,   1597,   1155,    439,
    -130,   -172,    -12,    313,
     416,    129,   -239,   -614,
    -794,   -772,   -732,   -759,
    -524,    151,   1105,   1488,
     986,     88,   -622,   -807,
    -627,   -500,   -647,   -804,
    -981,   -815,   -508,   -448,
    -694,  -1145,  -1003,   -134,
     929,   1292,    750,     51,
    -299,   -227,    -88,    -94,
     -95,   -226,   -385,   -323,
      28,    345,    220,    103,
     204,    463,    580,    386,
     249,    101,   -186,   -475,
    -420,     78,    403,    247,
    -113,   -257,    135,    622,
     983,    918,    311,   -470,
    -955,   -533,    251,    690,
     376,   -316,   -682,   -536,
    -123,    138,    161,    -55,
    -211,   -164,    139,    372,
     535,    714,    959,   1263,
    1211,    639,   -411,  -1168,
   -1503,  -1271,   -672,    -38,
     352,     87,     17,    218,
     604,    634,    188,   -172,
    -291,   -128,   -221,   -493,
    -934,  -1043,   -587,     81,
     609,    718,   1002,   1288,
    1165,    438,   -308,   -211,
     226,    320,   -211,   -766,
    -851,   -750,   -685,  -1027,
   -1230,   -970,   -658,   -435,
    -584,   -654,   -548,   -480,
    -375,   -179,    436,   1054,
    1128,    665,     16,   -322,
      -6,    553,    560,    -22,
    -615,   -545,     68,    612,
     630,    408,    660,   1029,
     883,    235,   -267,   -174,
     220,    440,    115,   -493,
   -1046,  -1086,   -640,   -101,
     523,    993,   1252,   1130,
     545,   -427,  -1003,   -811,
    -132,    732,    847,    507,
     113,   -159,   -274,   -368,
    -371,   -271,    -34,    172,
     516,    760,    783,    487,
     137,   -119,   -226,     38,
     225,    279,   -188,   -892,
   -1130,   -812,   -186,    243,
     447,    664,   1002,   1480,
    1786,   1412,    543,   -387,
    -855,   -751,   -341,     41,
     178,    137,     48,     77,
     180,    330,    393,    406,
     395,    419,    218,   -234,
    -737,  -1142,  -1240,  -1164,
    -694,    -66,    509,    655,
     226,   -209,   -171,    288,
     614,    629,    443,    611,
     976,   1067,    725,    167,
    -282,   -522,   -470,   -235,
      15,     72,     -3,    -80,
     261,    610,    562,    128,
    -427,   -652,   -654,   -438,
    -490,   -776,  -1082,   -885,
      -9,    727,    595,   -271,
    -654,     50,   1597,   2519,
    2239,   1205,    -29,   -690,
    -902,   -902,  -1030,  -1198,
   -1027,   -456,    275,    680,
     456,    -65,   -503,   -589,
    -287,   -102,   -225,   -669,
    -938,   -790,   -400,    -57,
    -178,   -397,   -187,    167,
     157,   -243,   -579,   -291,
     312,   1116,   1565,   1290,
     586,     17,    242,    382,
     319,   -288,  -1116,  -1523,
   -1571,   -753,    173,    804,
     767,    477,    175,    -87,
     241,    671,   1043,    912,
     427,    -39,   -275,   -136,
      39,     99,     92,    358,
    1007,   1722,   1835,   1136,
     152,   -495,   -600,   -130,
     509,    779,    339,   -571,
   -1194,  -1283,  -1048,   -966,
    -734,    -28,    847,   1334,
    1139,    523,     70,    -70,
     -78,     69,     11,   -166,
    -502,   -658,   -620,   -774,
   -1103,  -1395,   -990,    -91,
     981,   1515,   1202,    476,
    -220,   -300,    313,    738,
     -15,  -1405,  -2353,  -1865,
    -287,   1085,   1685,   1549,
    1259,    813,    301,    210,
     365,    742,   1011,   1057,
     877,    285,   -182,   -682,
    -892,   -638,     46,    989,
    1438,   1171,    445,    341,
     672,   1060,   1113,    846,
     689,    633,    806,    669,
     558,    417,    337,    185,
    -396,   -845,  -1019,   -596,
     137,    808,   1273,   1511,
    1458,    899,    124,   -525,
    -569,    -72,    260,     84,
    -470,   -735,   -270,    545,
    1171,   1331,   1186,    872,
     408,     32,   -229,   -510,
    -851,  -1313,  -1364,   -926,
    -296,    233,    268,    167,
    -172,   -443,   -400,   -148,
     162,    144,    245,    420,
     301,   -347,  -1109,  -1236,
    -647,    118,    481,    229,
    -311,   -719,   -805,   -337,
      64,    348,    593,    924,
    1220,    802,   -167,  -1248,
   -1581,  -1161,   -473,   -268,
    -612,  -1022,  -1131,   -284,
     997,   2103,   2092,   1009,
    -347,  -1208,   -859,   -168,
     316,     62,   -730,  -1242,
   -1440,  -1154,   -552,    208,
    1055,   1536,   1439,   1020,
     430,      0,   -166,    -93,
     261,    496,    531,    152,
    -504,  -1177,  -1664,  -1493,
    -927,   -192,    237,    -31,
    -572,  -1168,  -1371,  -1035,
    -567,     24,    375,    572,
     647,    409,    220,    -87,
    -210,   -111,    301,    967,
    1316,   1285,    875,    708,
     668,    427,    -77,   -350,
     217,    866,    850,     -6,
    -758,   -948,   -804,   -354,
      49,    250,     84,   -179,
     -10,    683,   1335,   1455,
    1112,    519,    -18,    -65,
     429,    934,   1106,    810,
     198,   -522,  -1084,  -1389,
   -1435,  -1052,   -653,   -289,
      82,    246,    443,    613,
     460,     70,   -271,   -271,
     -10,    153,    196,     53,
    -383,   -629,    -46,   1117,
    2015,   1761,    673,   -227,
    -595,   -247,    300,    653,
     491,     87,     50,    293,
     754,    980,    733,    163,
    -218,   -353,   -269,   -220,
    -440,   -766,  -1302,  -1463,
   -1118,    -57,   1229,   1987,
    2160,   1453,    321,   -694,
    -879,   -301,    278,    450,
     -87,   -803,  -1259,  -1262,
    -718,     -5,    623,    826,
     687,    357,    -64,   -315,
    -444,   -253,     30,     88,
    -274,   -890,  -1318,  -1305,
    -645,    170,    645,    484,
     188,    567,   1396,   1806,
    1378,    709,    551,    942,
    1433,   1335,    664,    243,
     230,    644,    828,    307,
    -680,  -1727,  -1905,   -950,
     788,   2212,   2296,   1077,
    -584,  -1650,  -1532,   -706,
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     786,   1052,   1051,    903,
     774,    504,    310,    476,
    1162,   1610,   1425,    645,
    -334,   -803,   -726,   -394,
    -238,   -126,      2,    142,
     182,    146,    245,    338,
     517,    516,    681,   1046,
    1255,   1187,    683,    324,
     210,    491,    639,    171,
    -715,  -1398,  -1326,   -807,
     -88,    139,    116,   -388,
   -1015,  -1022,   -672,     86,
     618,    673,    193,   -417,
    -828,   -752,   -124,    489,
     743,    602,    431,    400,
     527,    538,    476,    326,
     334,    276,     80,    -58,
    -203,   -159,   -159,     47,
      45,   -205,   -708,  -1071,
    -732,   -114,    540,    542,
     151,   -332,   -442,    134,
     957,   1514,   1159,    325,
    -329,   -223,    528,   1073,
    1011,    435,     -6,    -77,
      22,      4,   -398,   -737,
    -810,   -380,    380,    742,
     591,    146,   -120,    -23,
     437,    827,    925,    631,
     -17,   -523,   -694,   -427,
    -210,   -238,   -378,   -466,
    -172,    520,   1367,   2057,
    2350,   1979,   1242,    641,
     370,    540,    893,   1083,
     965,    513,   -208,   -927,
    -869,   -146,    609,    787,
     201,   -216,   -201,    157,
     500,    535,    271,   -115,
    -281,   -291,   -231,   -150,
     103,    416,    727,    640,
     247,   -119,   -517,   -587,
    -411,     60,    144,   -318,
    -760,  -1257,  -1392,  -1202,
    -758,   -336,   -295,   -385,
    -292,    141,    295,      7,
    -311,    -12,    801,   1144,
     734,   -119,   -492,   -232,
     438,    979,    948,    595,
     -44,   -264,     32,    521,
     420,   -536,  -1340,  -1539,
    -899,    -21,    461,    536,
     289,    191,    452,    717,
     754,    430,      8,     15,
     284,    573,    697,    660,
     505,    293,    211,    375,
     728,    859,    547,   -207,
    -738,   -781,   -652,   -480,
    -405,   -253,   -216,   -104,
     159,    422,    677,    463,
      51,   -163,   -345,   -638,
    -757,   -530,     64,    743,
    1057,   1067,    773,    430,
     301,    434,    509,    320,
     -45,   -339,   -235,     65,
     229,     73,   -255,   -522,
    -324,    394,   1327,   1699,
    1224,    475,   -100,   -184,
    -174,    -95,   -129,   -207,
    -309,   -373,    -31,     85,
     -81,   -568,  -1035,  -1051,
    -518,    364,    964,   1069,
     654,    189,   -149,   -273,
    -272,   -326,   -275,   -213,
    -302,   -656,  -1133,  -1227,
    -732,   -103,    435,    697,
     870,    936,    482,    -62,
    -361,   -237,    -43,     68,
     313,    574,    898,    976,
     810,    305,   -339,   -729,
    -862,   -724,   -513,   -132,
     157,    323,     85,   -474,
    -831,   -951,   -561,    -95,
     309,    435,    129,   -486,
   -1371,  -1721,  -1093,    294,
    1676,   2071,   1260,     62,
    -780,   -869,   -330,    190,
     296,    -91,   -550,   -663,
    -347,     86,    189,     13,
    -177,   -215,   -212,   -359,
    -502,   -529,    -69,    629,
     954,    708,     87,    -42,
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    -836,   -749,   -548,   -298,
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     -98,    -75,    268,    728,
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     -14,   -386,   -873,  -1384,
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    -157,   -290,   -482,   -838,
    -913,   -698,   -341,    -26,
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     -34,   -353,   -413,     -6,
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    -496,   -515,   -154,    250,
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    -407,    377,    927,    753,
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     -60,     24,     40,     91,
     -91,     61,    355,    847,
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     726,    878,    480,     85,
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    -359,     72,    612,   1055,
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    -719,   -364,    363,    910,
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    1636,    789,   -311,  -1011,
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      74,   -133,   -417,   -814,
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    -539,   -846,  -1155,  -1088,
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      -4,     -7,   -349,   -574,
    -487,   -185,    136,    240,
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    -736,   -273,    -12,    219,
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    -165,   -672,   -898,   -647,
       6,    393,    470,    295,
     -85,   -251,   -229,     32,
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     246,     38,   -286,   -624,
    -823,   -503,    -15,    426,
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      30,   -110,     61,    418,
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      30,    -68,   -108,     -9,
      81,     12,     15,    -11,
      68,     81,   -175,   -512,
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      66,    142,    -50,   -301,
    -463,   -503,   -251,     39,
      -8,   -207,   -307,    -84,
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    -771,   -543,   -135,    252,
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    -531,   -415,     59,    523,
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    -349,   -831,  -1121,   -741,
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     959,  -1631,  -2761,  -1143,
     210,    333,    911,    740,
    -895,   -702,   1832,   2832,
     868,  -1603,  -2305,   -974,
    1147,   2686,   2288,    404,
    -175,    145,   -342,   -811,
   -1300,  -3429,  -6018,  -5524,
   -3212,  -3114,  -3646,  -1546,
     287,   -544,  -1253,   -637,
     301,   1634,   2727,   1761,
     -51,     60,    833,   -177,
    -837,    987,   1873,  -1119,
   -4128,  -2026,   2235,   3213,
    2717,   2423,   -203,  -3144,
   -2669,   -731,   -830,  -2298,
   -2531,  -2074,  -1514,   1119,
    5126,   5532,   1953,    201,
     780,   -192,  -2322,  -2664,
    -476,   1395,   -698,  -4092,
   -3311,    351,   2917,   3580,
    2418,   -617,  -3691,  -5046,
   -3982,  -1940,  -1005,    153,
    1167,    301,   -160,   1084,
    1160,   -496,  -1938,  -2224,
   -1826,  -1285,   -174,    360,
    1017,   2478,   2095,   -565,
   -2168,  -1113,    313,    759,
     989,   2536,   4202,   3984,
    3321,   2837,   1694,    120,
   -2239,  -4424,  -3548,   -907,
     393,   1076,   3138,   4301,
    1290,  -2637,  -2404,    408,
     993,  -1344,  -4209,  -4671,
   -2603,  -1056,   -340,   1553,
    3333,   3779,   4420,   4615,
    2940,   -209,  -2250,  -1651,
    -321,    -50,   -737,   -978,
    -372,   -144,   -542,  -1026,
   -2510,  -3711,  -1915,   1804,
    3387,    953,  -1225,    284,
    2835,   3581,   3212,   2236,
     485,   -304,    520,   1493,
    3092,   5458,   4430,    200,
    -907,    998,    888,   -152,
    -595,  -2288,  -3472,  -2810,
   -1960,   -486,   1814,   3033,
    2731,    141,  -2577,  -1052,
     628,  -1762,  -3487,  -2687,
   -3092,  -3430,  -1494,   1949,
    5508,   6844,   5671,   3123,
     939,     27,   -672,  -2122,
   -3090,  -1463,   1926,   1999,
   -2741,  -5421,  -3763,  -1473,
     477,   2158,   2529,   1570,
     438,    120,    290,   -362,
   -1082,  -1193,   -874,   -162,
    1220,   2825,   3058,   2388,
    1900,    116,  -2380,  -1058,
    1541,    640,   -252,    437,
   -1229,  -4195,  -4499,  -3092,
   -1809,   -830,    178,   1075,
    1266,    855,   1241,   1759,
     723,    564,   2036,   1959,
    -206,   -808,    797,   1111,
     -91,    608,   2550,   2076,
     581,    378,    298,   -500,
   -1095,   -975,    452,   1688,
    -969,  -6211,  -7340,  -1772,
    4109,   4778,   1560,  -2194,
   -4138,  -3158,  -2009,  -2773,
   -2541,   -619,    764,    179,
   -1361,  -1093,   1319,   2593,
     902,  -1899,  -3455,  -2937,
    -875,   1571,   2507,   2238,
    1784,    809,   -978,  -3522,
   -5604,  -5138,  -1087,   3096,
    2687,  -1698,  -5093,  -4744,
    -922,   3771,   4868,   2893,
    3022,   4899,   3526,    982,
    1764,   3084,    624,  -3053,
   -2796,   -152,    144,  -1527,
   -1685,   -478,    318,   -365,
   -2140,  -1822,   1646,   4436,
    3647,    815,  -1938,  -3040,
   -2280,   -878,     53,     57,
      79,    601,    -76,  -2296,
   -3534,  -2866,  -1669,  -1042,
     970,   3924,   3283,    405,
    -464,   -591,  -1414,   -894,
     898,   2572,   2200,   -993,
   -3785,  -3095,    360,   2277,
     830,    132,   2984,   4753,
    2622,  -1130,  -4764,  -5922,
   -3581,   -172,   1418,   2300,
    4096,   4831,   2776,    180,
      93,   1436,    757,  -2674,
   -4563,  -1741,   3075,   4443,
    1971,   -302,  -1001,   -451,
     -78,   -984,  -1734,   -842,
    1108,   2436,   1110,  -1702,
   -1621,   1498,   3662,   2416,
    -218,  -1076,  -1079,  -1722,
   -1178,   -531,  -1844,   -907,
    4011,   7051,   5748,   3114,
    -417,  -4815,  -7857,  -7157,
   -2375,   3655,   6785,   4724,
     303,  -2342,  -2458,  -1911,
   -1164,    406,   2085,   2900,
    2864,   2808,   1886,   -358,
   -2486,  -2782,   -619,   1983,
    1721,  -1286,  -3426,  -2580,
     387,   1962,   1214,   1049,
    2237,   3102,   2582,    291,
   -2870,  -4147,  -2656,   -745,
    -689,  -1270,   -877,   -159,
     841,   1763,    508,  -1462,
     431,   3932,   2873,  -1448,
   -2886,   -697,   1539,   1715,
      50,  -1633,  -1212,   1463,
    3262,   2454,    958,   1183,
    1980,    436,  -1613,  -1007,
     157,  -1045,  -3250,  -3929,
   -2260,   -222,    684,    724,
    -246,  -1260,  -1511,  -1136,
     235,   1904,   2122,   2031,
    3047,   3327,   1535,   -515,
    -737,   -763,  -2826,  -4060,
   -1336,   1491,   1191,   -633,
   -2546,  -3047,  -1737,   -229,
     734,   1532,   1957,   2119,
    1263,  -1108,  -2694,  -1783,
     222,    498,  -1184,  -2781,
   -3111,  -1800,   1340,   3508,
    1829,   -737,   -836,   -239,
   -1382,  -2187,   -908,    491,
     889,    646,   -251,  -1067,
    -782,    517,   1729,   1202,
     534,    876,   -280,  -2769,
   -3472,  -1418,   1014,   1999,
    1277,   -882,  -2925,  -2280,
     447,   1580,    625,   -184,
     464,   1767,   1977,   1020,
     -16,  -1378,  -2495,  -2232,
   -2372,  -3390,  -1714,   2881,
    4600,   1962,   -348,  -1152,
   -2792,  -3746,  -2384,  -1031,
     565,   2908,   2755,    -15,
   -1431,   -551,   1012,   2350,
    3014,   1879,  -1800,  -4479,
   -3913,  -2973,  -1782,   1426,
    3453,   1796,   -558,  -1086,
    -562,   -361,   -349,    126,
     353,   -799,  -2724,  -3723,
   -2022,    815,    904,   -310,
     637,   2083,   1446,    606,
    1867,   3635,   2213,  -1757,
   -3269,  -1576,     50,    209,
    -598,  -2333,  -3778,  -2898,
    -528,    607,     73,     37,
     886,    227,  -2401,  -3614,
   -2044,   -136,    948,   2730,
    4250,   2227,  -1240,  -1274,
    1056,   1624,   1806,   3630,
    4049,   2018,   1215,   2358,
    1150,  -1953,  -1906,     75,
      55,   -125,    954,   1430,
    1295,   1239,    603,   -952,
   -1906,   -555,   1849,   1776,
    -383,  -1283,   -611,     90,
     220,    362,    444,    -79,
    -849,  -1744,  -2961,  -2682,
    -377,    743,   -503,   -588,
    2521,   4251,   1980,   -552,
    -773,    645,   1564,    -13,
   -1749,   -545,    691,    157,
     501,   1378,    536,   -172,
     763,    714,   -591,   -439,
     755,    362,   -288,   1145,
    2331,    289,  -2992,  -3000,
     165,   2283,   1805,   1016,
    1453,   2175,   1155,  -1249,
   -1908,   -607,    873,   2174,
    2256,    386,  -1688,  -2408,
   -1945,  -1216,  -1241,  -1687,
   -2067,  -2609,  -1599,   1328,
    2634,   1356,   -628,  -2390,
   -2551,   -788,    712,   1282,
    2177,   2718,   1907,   1126,
    1642,   1517,   -388,  -1012,
     961,   2456,   1183,  -1089,
   -1689,   -316,    451,   -248,
     590,   3013,   3585,   1557,
    -100,   -622,  -1634,  -1869,
     296,   2163,    565,  -2514,
   -3951,  -3744,  -2492,   -517,
     286,   -294,    160,   1661,
    1711,   -835,  -3595,  -2835,
    1665,   5378,   4804,   1422,
   -1086,   -790,    734,    823,
    -212,   -289,    601,   1218,
     971,     78,   -851,  -1350,
   -1146,    226,   1598,   1044,
    -594,  -1858,  -2104,   -711,
    1152,    972,   -560,  -1899,
   -3766,  -4613,  -2802,   -921,
    -120,   1333,   1970,    159,
   -2131,  -2409,   -411,    884,
     -43,   -569,    124,    145,
    -679,  -1039,   -499,   -108,
     281,    730,   -386,  -2035,
   -1073,   1405,   1385,   -331,
    -445,    462,    204,   -482,
    -916,  -2113,  -2890,  -1365,
    1481,   3381,   3834,   2584,
      43,  -1649,  -1711,  -1133,
    -336,   1057,   1956,   1181,
    -451,  -1558,  -1597,   -293,
    2076,   3254,   1998,    -89,
   -1913,  -3634,  -4322,  -2818,
     171,   2755,   3011,    838,
   -1279,  -2103,  -2351,  -1501,
    -275,   -699,  -1006,    601,
    1339,   -573,  -3081,  -3403,
    -791,   1830,   2103,   1120,
      23,   -568,    -41,    382,
    -168,    -30,   1730,   3648,
    3138,   -212,  -3268,  -3177,
    -923,    589,    948,   1563,
    1537,   -681,  -2420,  -1366,
     643,   1866,   1618,    -75,
   -1083,    -25,    740,    115,
      17,    849,   1369,   1122,
      77,  -1267,  -1319,    501,
    2525,   2496,    412,  -1258,
    -705,    480,    785,   1402,
    2196,   1230,   -699,   -741,
     506,    494,   -724,  -1108,
     267,   1951,   1470,   -983,
   -2455,  -1477,    516,    947,
      59,   -306,   -130,   -222,
    -857,  -1683,  -1659,   -144,
    1536,   1876,    972,    710,
    1595,   1381,   -392,  -1148,
      35,   1201,   1389,   1153,
    1602,   2346,   1826,    910,
     733,    678,    325,  -1303,
   -3439,  -2586,    593,   1949,
     243,  -2016,  -2225,   -601,
     621,    193,   -350,    452,
    1004,   -425,  -2052,  -2076,
   -1001,   -208,   -869,  -1727,
   -1090,   -547,  -1439,   -806,
    1678,   1937,    276,    -76,
     250,   -375,   -294,   1389,
    2388,   1029,   -992,  -1183,
     160,   1684,   2411,   1096,
   -1251,  -1625,     55,   1349,
     779,   -687,  -1261,  -1262,
   -1709,  -2428,  -2484,  -1417,
      36,    538,   -513,  -2157,
   -2493,   -947,    703,    881,
     446,    946,   1632,   1322,
     -22,  -1443,  -1399,   -295,
     713,   1134,    429,   -324,
     122,    357,   -378,   -760,
    -742,  -1221,  -1096,    657,
    2522,   2859,   2264,   2375,
    2273,    361,  -2447,  -4175,
   -3393,   -581,   1608,   1374,
    -274,  -1568,  -1245,    196,
    1102,   1299,   1575,   1499,
     285,  -1090,   -896,    565,
     692,   -579,   -884,   -126,
     583,    671,   -288,  -1266,
    -702,    801,   1330,    303,
    -746,   -955,   -284,    976,
    1128,    -32,   -525,     21,
    -312,  -1808,  -1981,   -168,
    1000,    835,   1223,   2049,
    1570,   -434,  -1661,    -63,
    1953,    885,  -1298,  -1368,
     -13,   1138,   1257,    211,
    -878,   -862,    -38,    479,
     532,   1053,   1215,   -310,
   -1618,   -943,    202,      3,
   -1574,  -3060,  -2377,    212,
    2146,   2068,    315,  -1315,
   -1018,     76,   -283,  -2002,
   -3100,  -2219,    -64,   1468,
    1501,   1285,   1352,    182,
   -1328,   -880,   -186,   -664,
     234,   2431,   2707,    499,
   -2081,  -2905,  -1452,    606,
    1170,    489,    350,   1075,
    1267,    336,   -686,  -1249,
   -1646,  -1826,  -1777,  -1603,
    -391,   1588,   1852,   -188,
   -1706,   -262,   2078,   1997,
     577,    130,     99,     48,
     283,    576,   1335,   1550,
      19,  -1613,  -2485,  -2816,
   -1662,    134,    586,    477,
     828,    712,    242,    619,
    1723,   1800,    115,  -1400,
   -2028,  -2769,  -2350,     23,
    1694,   1572,    962,      9,
    -543,    -16,    108,  -1012,
   -1624,    -19,   2003,   1517,
    -761,  -2243,  -2577,  -1841,
    -165,    333,  -1238,  -2569,
   -1271,   1813,   4165,   4303,
    2760,   1305,     90,  -1698,
   -2875,  -1452,    902,   1468,
     834,    751,   1314,   1320,
     675,    601,   1876,   2605,
    1292,    -89,     77,    590,
    -157,  -1820,  -2723,  -1148,
    1560,   2114,    820,    335,
     911,    899,   -591,  -1810,
    -605,   1152,   1001,   -182,
    -553,   -344,    -90,    311,
    -252,  -1858,  -1677,   1015,
    2134,     92,  -1744,  -1238,
      35,    776,   1109,   1306,
    1233,    210,   -523,    169,
     791,      8,   -180,   1434,
    2318,   1056,   -556,   -347,
    1005,   1649,   1396,    957,
      94,   -978,  -1262,   -956,
    -869,   -785,   -281,   -367,
    -651,   -135,   -191,  -1298,
   -2074,  -2629,  -2992,  -1727,
     841,   2328,   1428,     64,
    -121,   -430,  -1715,  -2197,
    -643,   1297,   1477,    229,
    -282,     60,   -230,   -781,
    -143,    723,    430,    -76,
    -317,  -1092,  -1854,   -909,
     831,   1166,    448,    -47,
    -486,   -812,   -446,   -478,
   -1307,  -1353,   -588,     90,
    1022,   1836,   1612,    465,
    -517,   -724,  -1187,  -1767,
   -1167,   -300,   -290,   -229,
      81,    -84,   -437,   -296,
    -147,   -927,  -1295,   -194,
     410,   -230,   -167,    918,
    1334,    564,    -94,    266,
     635,    518,   -215,  -1993,
   -3154,  -2728,  -2330,  -1571,
     873,   2932,   2690,    977,
    -393,   -228,    637,    929,
    1112,   1306,    832,    294,
     541,   1604,   1871,    132,
   -1393,   -717,     65,   -584,
    -927,   -452,    104,    203,
    -417,  -1223,  -1352,   -536,
     462,    784,    332,   -193,
    -418,   -121,    648,   1265,
     839,   -587,  -1486,  -1161,
    -300,    624,   2171,   3390,
    2070,   -946,  -2114,   -465,
    1334,   1631,   1109,    615,
      24,    -88,    735,   1159,
     419,   -679,   -997,    172,
    2009,   1955,    363,    348,
    1110,    339,   -343,   -115,
    -419,   -342,    607,    710,
    -215,   -466,    271,    933,
    1308,   1737,   1582,    342,
    -746,  -1089,  -1076,  -1077,
   -1018,   -177,    843,    416,
    -877,  -1247,  -1295,  -1432,
    -426,   1413,   1840,    417,
    -764,   -269,   1150,   1409,
     504,   -408,  -1313,  -1822,
   -1617,  -1910,  -2387,   -602,
    2646,   3790,   2054,     14,
    -898,  -1046,   -791,   -200,
     717,   1297,    930,   -105,
   -1258,  -2048,  -1878,  -1397,
    -899,    366,   1299,    142,
   -1646,  -1266,    362,    730,
    -206,   -443,    304,     36,
   -1724,  -2770,  -1882,   -644,
     -96,   -251,   -694,   -666,
    -111,     37,   -778,  -1607,
   -1510,   -992,   -787,   -657,
    -630,   -866,  -1155,   -662,
     763,   1230,    268,   -119,
     211,   -119,   -878,  -1386,
    -582,   1589,   2443,    897,
    -212,    531,   1097,    563,
     625,   2253,   3270,   2044,
    -298,  -2082,  -2210,   -577,
    1153,   1288,    653,    521,
     736,    126,  -1212,  -1334,
    -254,     25,    -48,    249,
    -443,   -794,    411,   1024,
     551,    394,    177,   -755,
   -1330,   -666,    231,   -165,
    -873,   -227,    883,    528,
    -864,  -1409,   -784,    385,
    1270,   1241,    801,   1090,
    1923,   2282,   1578,    522,
     922,   1974,   1380,   -130,
    -463,   -135,   -580,  -1321,
   -1081,    -31,    906,   1355,
     717,   -670,  -1395,   -890,
    -319,   -671,   -708,    455,
    1315,    785,   -274,   -841,
    -543,    166,    396,    149,
     425,    337,  -1695,  -3223,
   -1328,   1501,   1668,    566,
     160,   -581,  -1440,   -494,
    1351,   1591,    630,    363,
    1108,   1231,   -330,  -1715,
   -1027,    184,    -46,  -1279,
   -2034,  -1233,    -40,    200,
     496,   1130,   1247,   1138,
     847,    402,    611,   1010,
     594,   -251,   -616,   -754,
   -1428,  -2038,  -1458,   -298,
     340,    468,   -110,   -857,
    -372,    504,    -44,  -1353,
   -1691,   -705,    232,   -185,
   -1132,  -1498,  -1239,   -178,
    1626,   2920,   2822,   1994,
    1381,    878,   -311,  -1301,
    -282,   1657,   1742,    624,
     198,   -262,  -1176,  -1317,
     142,   1830,   1680,    117,
    -610,   -280,     59,    449,
     362,   -396,  -1080,  -1266,
    -916,   -142,    655,   1225,
    1329,    573,   -330,   -489,
     106,    394,   -235,   -835,
    -771,   -432,   -195,   -450,
   -1100,   -771,    283,    167,
    -921,  -1157,   -451,     73,
     271,    726,   1122,   1182,
    1900,   2030,    160,  -1376,
   -1053,   -733,   -752,   -361,
    -349,   -427,   -339,    -59,
     695,   1064,    212,   -854,
    -919,   -368,     22,    153,
      47,  -1130,  -2244,  -1409,
     265,    816,    311,    142,
      43,  -1253,  -2504,  -1393,
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    -836,    739,   1410,     49,
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      -3,    305,     76,    -58,
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    -837,   -354,     81,    -42,
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      -7,    304,    515,    127,
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    -137,    -68,    188,    586,
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    -549,   -349,    563,   1038,
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    1001,    705,   -394,   -636,
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    -546,   -581,   -190,    -42,
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    -313,   -547,    -43,    564,
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    -517,   -238,     63,   -219,
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     412,    433,     22,   -185,
     -81,     40,     39,    -78,
    -444,   -591,     -2,    440,
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    -681,   -560,   -207,     59,
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     170,     56,    -43,     25,
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     -20,   -252,   -579,   -148,
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      12,    -62,   -127,   -322,
    -326,    -52,      3,     93,
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      67,     91,    -86,   -224,
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      -2,   -197,    -23,    -83,
    -253,    -74,    -15,   -194,
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      23,   -213,   -252,    137,
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     -88,    144,     53,   -108,
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      21,    131,    140,    256,
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      88,    286,     54,   -145,
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      75,    144,    449,    367,
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       5,   -132,   -319,   -223,
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     -85,   -112,    -45,     77,
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     -45,   -239,   -380,   -320,
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      65,    -43,   -115,    -22,
      49,    -44,   -123,   -128,
     -52,    194,    270,    -36,
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       8,     96,    258,    158,
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     -23,   -131,    -56,      4,
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     -14,    -57,   -106,    -14,
      84,    -69,    -76,    185,
     111,   -218,   -227,      8,
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      53,    -37,     45,     48,
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     -59,   -220,   -134,     40,
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     -88,   -137,   -125,    -17,
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    -193,   -260,   -105,      1,
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     -52,     94,     75,    -26,
     -34,     29,     74,    118,
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      -8,     37,     98,    200,
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     -15,     19,    138,    165,
      -4,   -143,   -170,    -47,
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     -50,     32,    -18,    -41,
     -19,    -80,   -155,   -234,
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     114,     50,    -41,    -89,
      55,    251,    180,    -12,
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    -138,   -247,    -93,     83,
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     -38,   -130,    -69,     44,
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      -5,     42,     53,     42,
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     -17,   -114,   -110,    -56,
     -13,     50,     76,    -18,
     -99,    -35,    -17,   -113,
    -107,     10,     48,      6,
       4,    -25,    -26,     17,
      -2,    -40,    -51,    -34,
     -52,    -87,     13,    202,
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     126,     44,     59,      2,
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     -22,     42,     -1,      2,
      53,     19,    -25,    -14,
     -57,    -54,     81,    119,
      15,    -37,    -18,      4,
      -6,    -66,   -115,   -105,
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      35,    -68,   -148,   -203,
    -186,    -50,    106,    146,
      59,    -25,    -21,     17,
      64,     64,    -35,    -71,
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     -23,    -38,    -46,     13,
      97,    185,    123,    -20,
      -6,     38,     13,     20,
      28,     16,     17,     48,
      68,    -16,   -106,    -80,
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     -64,    -41,    -31,    -80,
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      66,    -51,    -96,    -53,
      -5,    -29,    -83,    -73,
      -2,     82,    117,     94,
      39,    -57,   -108,    -98,
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      16,    -18,     -6,    -10,
     -38,     -4,     42,     54,
      44,     -4,    -46,    -43,
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     -59,    -71,     -3,     16,
      14,     46,     97,    100,
      25,    -88,   -169,   -124,
     -27,      9,     49,     66,
       0,    -44,    -23,    -14,
     -64,    -97,    -42,     35,
      78,     61,      4,    -13,
      -8,     -6,      4,      0,
      20,     58,     47,     -9,
     -33,      4,     27,     36,
      42,     10,    -37,    -19,
      41,     56,     10,    -38,
     -28,      8,     38,     21,
      -9,      9,     -1,    -43,
     -42,    -25,    -12,    -12,
     -50,    -44,     11,     11,
       5,     24,      1,    -37,
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       7,    -35,    -21,     23,
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      -9,    -22,     -9,     11,
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      -7,     15,      1,    -48,
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     -23,     58,     77,     27,
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      -3,    -17,    -24,    -24,
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       8,     -6,    -19,     -2,
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      34,     29,     17,     -3,
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      -6,     12,     28,     15,
      -8,     -4,     21,     35,
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       4,     41,     40,     23,
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       7,     16,     14,      6,
       0,    -13,    -26,    -16,
       1,      7,      9,      1,
      -7,      2,      3,     -4,
       5,      0,    -25,    -35,
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      15,      8,     -6,    -24,
     -28,    -24,    -18,      2,
      23,     29,     15,     -6,
      -6,      6,     10,     12,
      14,      4,     -1,      1,
      -2,    -11,     -8,     10,
      20,      9,     -2,      4,
       7,      0,     -2,     -1,
       2,      3,     -3,     -6,
      -7,    -13,    -12,      0,
       9,      7,      6,      5,
      -2,     -8,     -4,     -2,
      -2,      3,      4,      2,
       4,      2,     -1,     -1,
       2,      3,      2,      1,
       0,     -2,     -2,     -1,
      -1,      0,      0,      1,
       2,      1,     -1,     -1,
       0,      0,     -2,     -2,
      -1,     -1,     -2,      0,
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       0,      0,      0,      0,
       0,      0,      0,      0,
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    6413,   5546,   4052,   3328,
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     948,   1898,    928,  -1019,
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    -349,   1344,    924,    -80,
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    5168,   6751,   7593,   6964,
    4845,   3544,   3662,   3973,
    6187,   9839,  10903,   9069,
    7396,   4029,    747,   -732,
    -946,   -315,   -399,   1290,
    3791,   5393,   3499,   1541,
    2023,   1733,   1778,     10,
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    2307,   5262,   3482,  -1346,
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   -5947,  -5927,  -2601,    894,
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    2454,    737,   -727,   -407,
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    7615,   7344,   3066,  -1597,
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   -4349,  -2697,  -1014,    955,
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    2461,   1335,  -2526,  -6184,
   -5797,  -1436,   4251,   9437,
   12000,  10481,   6029,    681,
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    -238,   2777,   3486,   2828,
    2511,   4065,   5713,   4995,
    2890,   2403,   1958,   -787,
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    3749,   3884,   2124,   -564,
   -1230,    556,   1719,    404,
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    4659,   8000,   9480,   7964,
    5264,   2454,     88,  -2375,
   -3961,  -2613,    -71,   3442,
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   -8103,  -6441,  -4181,  -2853,
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    -159,   1438,   3682,   5417,
    5500,   5162,   5910,   6248,
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    8382,   9874,  10955,   9745,
    6413,   4035,   3299,   3390,
    3456,   1858,   -608,  -4330,
   -7527,  -7616,  -5667,  -4645,
   -4990,  -5867,  -6749,  -7500,
   -8161,  -8193,  -9309, -10619,
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    -396,    557,   2087,   3139,
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   -2631,  -2347,  -1160,   -360,
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   -9543,  -9597,  -8933,  -7900,
   -6994,  -5086,  -1897,    959,
    2990,   3150,   2460,   1919,
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    2925,   1516,  -1004,  -3281,
   -3973,  -3538,  -3699,  -4611,
   -4056,  -3321,  -2959,  -4397,
   -6231,  -7791,  -7014,  -6488,
   -5694,  -4846,  -4460,   1232,
    3905,   7172,   8594,   6069,
    6872,   6470,   5995,   4103,
    2347,   1783,   1836,   2107,
    2529,   2423,    292,  -1631,
   -2751,  -1873,   -135,   1446,
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   -2835,  -4329,  -6736, -10281,
  -11931, -10521,  -6522,  -1998,
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    6804,   5740,   3442,    782,
   -1001,  -1258,   -500,   -241,
   -1564,  -3022,  -2661,   -802,
    1143,   2283,   3107,   2574,
     952,   -496,  -1228,  -1788,
   -2313,  -1854,    -30,   4051,
    7768,   8696,   7631,   6425,
    6087,   6358,   7307,   7259,
    6265,   5062,   3672,   2634,
    1145,  -1119,  -3177,  -3228,
   -1257,   1342,   3538,   4858,
    4900,   3721,   1812,   -895,
   -3778,  -6834,  -9325, -10024,
   -8995,  -8019,  -7678,  -7280,
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   -7345,  -6531,  -6840,  -7249,
   -6111,  -4283,  -2878,  -1950,
   -1727,  -1587,  -1091,     79,
    1431,   2167,   2029,   1445,
    1389,   2066,   2264,   2328,
    2838,   2908,   3106,   3743,
    4950,   6239,   6728,   6681,
    6537,   6900,   6248,   4121,
    2572,   1463,     54,  -1054,
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    -624,   2676,   5009,   4419,
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   -1189,   -848,   -858,   -991,
   -1347,  -1594,   -592,     10,
    -622,  -1780,  -2101,  -1345,
     829,   3011,   3980,   4406,
    4908,   6055,   5911,   4025,
     574,  -3089,  -4880,  -4988,
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     954,    451,   -393,  -1119,
   -1311,   -830,     67,   1786,
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    5731,   6734,   6776,   4738,
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     714,    332,   -408,  -1346,
   -2329,  -2307,  -1438,   -240,
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     361,   -232,  -1421,  -3131,
   -4603,  -4905,  -3123,    137,
    2658,   4323,   4422,   3393,
    2745,   2207,    653,  -1718,
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    -205,    898,   1829,   2298,
    2088,    947,  -1320,  -3962,
   -5754,  -6191,  -5861,  -5572,
   -5890,  -5648,  -4195,  -1597,
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    -147,    332,    838,    604,
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    4392,   4237,   3491,   2991,
    2314,   1423,    289,    224,
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    3493,   2916,   1124,   -543,
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    3048,   3022,   2183,   1145,
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    3634,   4739,   3753,   1619,
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    -748,   -124,   -234,  -1052,
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    1512,   3961,   4678,   3452,
    2238,   1767,   1490,     56,
   -1603,  -2387,  -2745,  -2731,
   -1948,   -977,   -137,    358,
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   -4385,  -3074,  -1717,   -828,
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     889,    218,     83,    578,
     679,    255,   -326,   -944,
   -1179,  -1305,   -761,    -62,
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    2441,   1113,    489,    472,
      48,   -292,    -37,    913,
    1570,   1634,   1827,   2159,
    2309,   2222,   2268,   2241,
    2680,   2835,   2542,   1805,
     548,   -384,   -811,   -387,
      91,    701,   1132,   1746,
    2473,   2617,   3117,   3176,
    2475,    796,  -1477,  -2658,
   -2397,  -2154,  -2872,  -3207,
   -2809,  -1933,   -722,    292,
     919,    670,    276,     66,
    -163,   -888,  -2106,  -2042,
   -1085,    355,   1716,   2415,
    2292,   1218,    191,   -159,
     135,   -407,  -1966,  -3777,
   -4749,  -5055,  -4291,  -2824,
   -1123,    455,   -423,  -1546,
   -4002,  -6271,  -6728,  -7274,
   -5785,  -3762,  -1709,   -384,
    -639,  -1684,  -2547,  -1994,
    -229,   1584,   2238,   2480,
    2834,   2787,   1411,    -45,
    -869,   -814,   -186,    242,
    1287,   2557,   3771,   3897,
    3133,   2058,    973,    359,
    -245,   -359,    454,   2357,
    4402,   5263,   4763,   3767,
    3318,   3227,   2612,   1559,
     615,    501,    877,    683,
    -118,  -1289,  -2022,  -2525,
   -2682,  -2011,   -855,    171,
     640,   1066,   1215,   1298,
    1136,    528,    -89,   -649,
    -866,   -901,   -835,  -1802,
   -3120,  -2756,  -1204,    440,
    1476,   2291,   2854,   2363,
    1192,    637,   1103,   2022,
    2821,   3254,   3476,   3311,
    2658,   1707,   1294,   1388,
    1739,   1807,    978,   -284,
   -1630,  -2101,  -2069,  -1777,
   -1615,  -1684,  -1192,   -802,
    -682,   -712,   -430,     60,
     231,   -277,   -762,   -182,
     355,    -81,   -861,  -1240,
   -1397,  -1522,  -1721,  -2160,
   -2691,  -2843,  -2927,  -3287,
   -3650,  -4116,  -4374,  -4511,
   -4553,  -4292,  -3467,  -1885,
    -486,    626,   1483,   1445,
     450,  -1768,  -4437,  -5867,
   -5316,  -3591,  -1764,   -360,
     409,    794,    674,    653,
     812,    758,    721,    854,
    1603,   3117,   4603,   5243,
    4678,   2946,   1338,     87,
    -729,  -1331,  -1456,     -2,
    1939,   3216,   3107,   2287,
    1444,    958,    987,   1511,
    2223,   1947,    888,   -522,
   -1657,  -2344,  -2487,  -2408,
   -2337,  -1827,   -662,    823,
    2001,   3409,   4726,   6088,
    7206,   6892,   5281,   3055,
    1049,   -465,  -1330,  -1529,
   -1395,  -1148,  -1040,  -1159,
   -1411,  -1675,  -1723,  -2264,
   -2869,  -2876,  -2225,   -381,
    1485,   2595,   2671,   2177,
    1957,   1951,   1616,   1009,
     873,    790,    877,    815,
     743,    846,    546,    494,
     728,   1305,   1724,   1363,
     750,    203,    -48,   -290,
   -1183,  -2820,  -4723,  -5830,
   -5300,  -3618,  -1571,      0,
     707,   1093,   1250,    966,
      38,   -661,   -477,   -427,
    -903,  -1312,  -1290,  -1209,
   -1246,  -1019,   -156,    740,
     584,   -476,  -1428,  -1914,
   -2320,  -2486,  -2456,  -2244,
   -1798,  -1370,   -920,   -247,
     657,   1289,   1855,   2293,
    1820,    254,  -1680,  -3123,
   -3484,  -2788,  -1593,     19,
    1163,   1226,    983,   1397,
    2243,   2593,   2332,   1758,
    1266,    879,    316,   -249,
     -48,    412,    674,    893,
     990,    787,   -203,  -1097,
   -1583,  -1854,  -1980,  -1882,
   -1560,  -1373,   -834,    372,
    2153,   3424,   3405,   2077,
     354,  -1060,  -2321,  -2962,
   -2768,  -1309,    789,   2406,
    3832,   5139,   5673,   5234,
    3729,   1817,     10,  -1302,
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    8680,  14531,  16499,  15984,
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    2717,    875,   -784,  -1393,
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    8097,   4984,   2285,   3081,
    5197,   7793,  10124,   8064,
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   -5504,  -4412,  -2595,  -1236,
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     -70,   3987,   7534,   5879,
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    6432,   3987,   1502,   1409,
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     974,   3172,   1668,    924,
    1294,   1427,   2941,   3574,
    3274,   1895,  -1179,  -3623,
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   -2466,  -1561,  -1212,  -2180,
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     -51,   1844,    195,   -595,
    -846,  -1039,   -186,   -894,
   -3671,  -4070,  -1747,   -644,
     273,    846,  -1764,  -4365,
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     278,  -1741,  -4106,  -5490,
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    4027,   2074,  -1012,   -107,
    1857,    426,  -2415,  -1602,
     132,  -1772,  -4011,  -3841,
   -2562,  -1180,   1444,   6643,
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    5813,   5711,   3902,   1515,
     549,   1061,   1500,   1970,
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    -856,  -1435,  -4455,  -4842,
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    6466,   4049,   2788,   2911,
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    1694,   2428,   3929,   4164,
    3271,   3374,   4461,   3843,
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    1866,   2149,   3446,   4699,
    4288,   2663,    536,   -969,
    -744,   1268,   2088,    427,
    -850,   -600,   -340,    -25,
     938,   1422,    509,   -684,
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    2346,    411,  -2191,  -1976,
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    1813,   2630,   4577,   3596,
    1465,   1122,   1421,   -271,
   -1937,  -1383,  -1222,  -1612,
     -14,    954,    -68,   -410,
      -4,    938,   1438,    548,
    -641,     43,   1978,   1110,
   -1096,    369,   2126,   -595,
   -2159,   -624,  -2249,  -6234,
   -6853,  -4654,  -3479,  -3670,
   -2671,   -157,    414,  -1802,
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    1546,   2264,  -1608,  -6046,
   -6901,  -5746,  -4421,  -2526,
    -866,    461,   2017,   2367,
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    5694,   5553,   1933,  -1223,
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   -4848,  -5191,  -2351,    855,
    1541,    619,  -1928,  -4859,
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    1267,   1902,   -165,  -2203,
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   -4986,  -4575,  -2261,  -2557,
   -1275,   1615,    184,  -2740,
    -958,   1220,   -930,  -1403,
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    7103,   5456,   1820,   1125,
    2712,   2140,   -277,   -991,
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    6339,   4184,   2400,   2636,
    1981,   -797,  -3713,  -4693,
   -4995,  -5148,  -4485,  -2867,
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   -3275,  -2994,   -356,   2133,
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    3972,   5200,   3750,    658,
    -764,   -686,   -547,    819,
    2952,   2947,   1308,    445,
    -223,   -502,   1213,   4027,
    5756,   4636,   2722,   2742,
    4018,   4430,   3633,   3840,
    3455,   1352,    632,   1177,
     647,    798,   1846,  -1302,
   -6580,  -7392,  -5431,  -3605,
    -957,    394,   -601,   -449,
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   -2167,  -2577,  -1516,  -1106,
   -1085,   -737,   -736,    630,
    2320,    712,  -1755,  -1040,
    -346,  -1720,  -1440,    195,
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    -396,  -1671,  -1482,    670,
    1130,    352,    998,   1994,
    2881,   5016,   6058,   4617,
    2245,    330,   -258,  -2396,
   -5582,  -6848,  -7610,  -8017,
   -6856,  -5962,  -5028,  -1545,
    1928,   2521,   2938,   4203,
    3693,   2818,   2079,    135,
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      26,   -835,  -2586,  -1582,
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    -323,  -3053,  -2758,  -1886,
   -2214,  -1538,   -170,    -59,
     461,   1813,   3599,   6413,
    8102,   6088,   3065,   2969,
    2929,    191,   -877,  -1062,
   -3510,  -3635,   -431,   -235,
   -2344,   -243,   3017,   2539,
    2024,   4563,   5539,   1363,
   -2459,  -1168,    875,   -490,
   -2367,  -2696,  -3556,  -4171,
   -1131,   2880,   3070,   2342,
    4854,   7286,   5481,   1924,
    1366,   2376,   1142,    236,
     863,    169,  -2460,  -4407,
   -3658,  -2897,  -2807,   -653,
    2593,   2847,    898,    969,
    1497,    254,   -528,   -456,
   -1022,  -1482,   -433,    555,
    -103,   -181,    640,    241,
    -584,  -1120,  -2031,  -1336,
    1259,   2602,   1634,   -732,
   -1903,  -1399,  -1307,  -1426,
   -1101,   -163,   1648,   3874,
    4848,   3751,   2280,   2111,
    1190,  -2254,  -3431,   -137,
    1959,   1391,   1598,   2195,
    2124,   2664,   3343,   1557,
   -1344,  -1227,    681,    750,
    -406,  -1184,  -2330,  -3386,
   -3290,  -3105,  -3082,  -1928,
    -857,  -1055,  -1017,  -1434,
   -3051,  -3586,  -2999,  -3761,
   -3897,  -1704,   -886,  -2113,
   -2054,   -891,  -1865,  -4479,
   -5960,  -5597,  -4551,  -3802,
   -2997,  -2326,  -2299,  -2317,
   -1309,    480,   1959,   2876,
    4110,   5700,   5626,   3872,
    3386,   2818,   -246,  -2838,
   -2668,  -1121,  -1116,  -1961,
   -1016,    274,   -143,  -1146,
   -1192,  -1314,  -2115,  -2597,
   -2281,  -2483,  -3632,  -3619,
   -2086,   -881,   -482,    122,
    1082,   1996,   3091,   5249,
    7193,   5148,    551,  -1836,
   -3015,  -4966,  -5635,  -3431,
    -446,    568,    786,   2418,
    4665,   5597,   5235,   3846,
    1118,   -473,   -286,   -782,
    -790,     31,   -473,  -1446,
   -1970,  -3303,  -4652,  -3120,
     320,   1916,   2153,   3126,
    2547,   -672,  -2684,  -1907,
   -1552,  -2548,  -3193,  -2988,
   -1976,  -1682,  -1374,    768,
    2870,   3211,   3237,   3305,
    1589,   -248,    435,   1847,
     960,   -198,    586,   1577,
    2386,   3412,   3826,   3816,
    4128,   4030,   3701,   3235,
    1644,   -516,  -2256,  -3146,
   -2754,  -2133,  -2308,  -2051,
    -953,   -509,   -813,    222,
    2198,   3250,   3711,   3913,
    2709,    601,   -150,      8,
   -1017,  -2873,  -3399,  -3132,
   -3208,  -3066,  -2226,   -787,
    -173,   -837,  -1407,  -1275,
   -1151,  -1090,   -810,  -1446,
   -2669,  -2186,  -1100,   -643,
     216,   1146,   1690,   2060,
    2514,   2114,    755,     63,
     -93,  -1277,  -2543,  -2682,
   -2939,  -2587,   -885,    187,
     252,    743,   1933,   3467,
    4658,   4784,   4109,   3556,
    3147,   1452,   -827,  -1510,
   -1686,  -2063,  -1102,   -402,
   -1744,  -3195,  -3167,  -2891,
   -3194,  -3318,  -2803,  -1812,
    -954,   -937,  -1953,  -2527,
   -1973,  -1133,   -411,    267,
     624,    241,   -137,   -210,
     120,   1126,   2255,   2793,
    2655,   2322,   2232,   2987,
    3810,   2625,    440,   -209,
     -30,   -536,  -1164,  -1119,
   -1118,  -1363,  -1087,   -384,
     682,   2020,   2652,   2801,
    3490,   3933,   3119,   1068,
   -1799,  -4518,  -5948,  -5881,
   -4697,  -2768,   -951,    -13,
     513,   1404,   2358,   3328,
    3973,   2470,   -276,   -855,
     -85,    -76,    103,    559,
     271,   -309,   -295,    327,
    1648,   3446,   4987,   5624,
    5299,   4413,   3561,   3324,
    2909,   1780,    863,    202,
    -784,  -1679,  -1562,   -463,
     102,   -409,   -780,   -263,
     227,    -17,   -274,   -909,
   -2390,  -2924,  -1962,  -1469,
   -1705,  -1534,   -929,   -394,
     416,   1557,   2307,   2702,
    2732,   1990,    786,    200,
    -672,  -2479,  -3420,  -3053,
   -2208,  -1278,   -769,  -1108,
    -740,   1197,   2699,   3048,
    3068,   2469,   1451,   1279,
    2044,   2212,   1158,     31,
    -634,  -1215,  -1659,  -1498,
   -1224,   -934,   -464,   -216,
     161,    111,   -900,  -1439,
   -1119,  -1977,  -3309,  -2310,
    -644,   -753,   -780,    271,
     796,    894,   1694,   2348,
    1770,   1303,   1236,    216,
   -1221,  -2133,  -2524,  -2319,
   -1731,  -1298,   -597,    512,
    1192,   1609,   2228,   2699,
    2468,   1935,   2213,   2835,
    2774,   2352,   1775,    901,
     480,    359,   -344,  -1154,
   -1540,  -1539,  -1370,   -756,
     496,   1539,   1663,    871,
    -788,  -2295,  -2382,  -1771,
   -1718,  -2538,  -3642,  -4085,
   -3502,  -2876,  -2210,   -500,
    1565,   2400,   1663,   1052,
    1252,   1809,   2135,   1463,
    -196,  -2181,  -3434,  -3810,
   -4108,  -4145,  -3218,  -1953,
   -1177,   -864,    -27,   1713,
    3299,   3683,   3210,   3001,
    2514,   1081,   -267,   -254,
      72,   -632,  -1024,     92,
    1475,   2397,   3984,   5406,
    5131,   4591,   4967,   4693,
    3380,   2572,   2081,   1043,
     223,    161,    301,    -85,
   -1010,  -1088,     57,   1256,
    2263,   2898,   2454,   2030,
    2466,   2478,   1873,   1301,
     515,   -867,  -2411,  -2971,
   -2536,  -1769,   -709,     73,
      90,   -213,   -150,    412,
     710,    256,   -176,   -134,
    -632,  -2023,  -2772,  -2223,
   -2098,  -2288,  -1116,    548,
    1275,   1850,   2750,   2716,
    2120,   1896,   1422,    578,
    -111,   -636,   -999,  -1615,
   -2814,  -3293,  -2614,  -1930,
   -1495,   -860,   -737,  -1345,
    -788,    719,   1202,    877,
     447,   -360,  -1215,   -928,
    -118,    -93,   -333,     98,
     828,    894,    578,    266,
     190,    235,   -225,  -1190,
   -1622,   -843,   -149,   -137,
      -9,    578,    985,   1311,
    2057,   2385,   2098,   2202,
    2859,   2773,   1879,   1561,
    1512,    665,    -12,   -109,
    -574,   -500,    908,   1951,
    1778,   1862,   2837,   4060,
    4885,   4887,   4117,   3164,
    2276,   1398,    605,   -361,
   -1500,  -2089,  -1633,   -825,
     312,   2162,   3622,   3661,
    2817,   2227,   1729,   1171,
    1183,   1067,     14,  -1433,
   -2879,  -4072,  -4713,  -4890,
   -4484,  -3420,  -2243,  -1136,
      96,   1167,   1434,   1004,
     660,   -343,  -2366,  -3538,
   -3434,  -3581,  -3846,  -2876,
   -1093,   -217,   -246,    114,
     764,    833,    700,    864,
     615,    191,   -100,   -620,
   -1248,  -1811,  -2448,  -3191,
   -3013,  -1919,   -910,     84,
    1410,   2092,   1551,   1124,
    1477,   1530,    907,    836,
     705,   -703,  -2015,  -1967,
   -1690,  -2297,  -2830,  -2245,
   -1208,   -654,   -141,    293,
      38,    -36,    536,   1009,
    1390,   1692,   1630,   1057,
      -2,   -636,    104,   1301,
    1249,    402,    134,    857,
    1861,   2588,   2796,   2233,
    1776,   2079,   2697,   2788,
    2357,   2190,   2549,   2575,
    1924,   1476,   1294,   1512,
    2287,   3020,   3793,   4857,
    5516,   5184,   4357,   3726,
    3275,   2860,   2513,   1866,
    1029,   1111,   1966,   2269,
    1997,   1809,   1952,   2679,
    3830,   4379,   4080,   3741,
    3260,   2474,   1988,   1623,
    1271,    984,     43,  -1105,
   -1285,   -637,     75,    876,
    1565,   1470,   1180,   1371,
    1428,   1008,    583,    137,
    -457,  -1127,  -1742,  -1813,
   -1000,      7,    233,     -7,
    -482,  -1207,  -1348,   -689,
    -402,  -1328,  -2509,  -2814,
   -2505,  -2127,  -1570,   -660,
      16,   -204,   -761,   -746,
    -469,   -531,   -691,  -1045,
   -1988,  -2594,  -2203,  -1681,
   -1643,  -1727,  -1051,    191,
     767,    651,    780,   1204,
    1223,   1045,   1120,   1048,
     616,    338,    272,     -3,
    -204,     56,    823,   1938,
    2873,   3204,   3162,   2872,
    2105,   1114,    524,    156,
    -408,   -457,     56,    252,
     419,   1534,   3119,   3804,
    3216,   2218,   1830,   1792,
    1614,   1624,   2018,   2338,
    2315,   1889,   1137,    484,
    -130,   -614,   -578,    -11,
     794,   1813,   2947,   2937,
    1526,    535,    717,    806,
     628,   1070,   1419,   1078,
    1184,   1985,   2042,   1135,
     201,   -393,   -759,   -884,
    -544,   -194,    174,    660,
     961,   1337,   1515,    997,
     446,    359,     39,     32,
     852,   1206,    284,   -952,
   -1459,  -1311,   -588,    294,
    1100,   1840,   2284,   2498,
    2489,   2090,   1396,    967,
     826,    352,   -110,      0,
      -7,    -52,    309,    466,
     672,   1436,   1901,   1727,
    1762,   1927,   1512,    703,
      62,   -582,  -1482,  -2110,
   -2402,  -2907,  -3199,  -2687,
   -1623,   -242,   1006,   1426,
    1216,    972,    446,     43,
     272,    -66,  -1062,  -1531,
   -1831,  -2607,  -3001,  -2524,
   -1804,   -902,   -142,    294,
     951,   1693,   2327,   2648,
    2267,   1230,    358,   -299,
   -1152,   -981,    491,   1371,
    1083,    993,   1137,    877,
     820,   1316,   1201,    337,
     470,   1572,   2099,   1957,
    2197,   2545,   2303,   1715,
    1524,   2257,   3047,   3047,
    2738,   1940,    326,   -123,
    1110,   1775,   1281,   1505,
    2894,   3652,   3413,   3223,
    3214,   2600,   1695,   1363,
    1332,    834,    498,   1060,
    1266,    887,   1146,   2033,
    2235,   1804,   1955,   2294,
    2061,   1636,   1341,    478,
    -799,  -1279,  -1412,  -2011,
   -2297,  -1731,  -1005,   -534,
    -237,    -60,   -329,  -1337,
   -1668,   -971,  -1084,  -1882,
   -1647,   -951,  -1484,  -2528,
   -2582,  -1970,  -1758,  -1735,
   -1285,   -785,   -639,   -302,
     370,    259,   -760,  -1129,
     -89,    860,    991,   1351,
    1601,    542,   -966,   -916,
      55,    155,    199,   1092,
    1756,   1837,   2216,   2783,
    2722,   2408,   2440,   2454,
    2185,   1875,   1993,   2369,
    2002,   1394,   1773,   2692,
    3136,   2915,   2738,   2644,
    2313,   2193,   2535,   2622,
    2119,   2193,   2633,   2266,
    1973,   2351,   2242,   1563,
    1167,   1125,    700,    -45,
      60,    680,   1060,   1430,
    1465,    788,    135,     70,
     336,    257,   -158,   -385,
    -679,  -1143,  -1669,  -2113,
   -2624,  -3045,  -2775,  -1616,
     -63,    818,    979,   1211,
    1558,   1266,    398,   -492,
   -1336,  -2287,  -2729,  -2223,
   -1608,  -1057,   -269,    548,
     920,   1186,   2007,   2465,
    2017,   1904,   2361,   2600,
    2508,   2127,   1584,   1108,
     987,   1303,   1815,   2086,
    2285,   2387,   1641,    829,
     500,   -282,   -854,    -67,
     793,   1064,   1832,   2456,
    2269,   1980,   1596,   1106,
     916,    581,   -466,  -1441,
   -1873,  -1841,  -1198,   -253,
     519,    812,   1141,   1591,
    1592,   1175,    683,    126,
    -750,  -1839,  -2697,  -3141,
   -3322,  -3072,  -2608,  -2021,
   -1086,   -143,    257,    -86,
    -945,  -1545,  -1167,   -630,
    -597,  -1124,  -2291,  -2820,
   -2638,  -3271,  -3300,  -2016,
   -1028,    375,   2205,   2685,
    1925,   1389,    717,   -279,
    -963,  -1500,   -933,    812,
    1941,   2081,   2380,   2773,
    2566,   2209,   2080,   1927,
    2242,   3393,   4450,   4460,
    3805,   3862,   4256,   3642,
    2590,   2076,   2059,   2333,
    2173,   1856,   1923,   1449,
     940,   1147,   1460,   1790,
    2893,   3787,   3237,   2687,
    2455,   1432,   -136,   -914,
    -693,   -623,   -368,    370,
     688,    478,    276,    181,
    -448,  -1214,   -871,    145,
     384,   -395,  -1009,   -935,
   -1030,  -1308,   -839,   -452,
   -1195,  -1629,   -812,   -349,
   -1180,  -1804,  -1368,  -1185,
   -1390,  -1185,   -806,   -527,
    -506,   -118,    459,    186,
    -498,   -446,   -110,   -524,
    -626,   -270,     70,    634,
    1056,   1539,   2255,   2658,
    2527,   2400,   2320,   2233,
    2096,   1662,   1214,    900,
    1254,   2040,   2300,   2353,
    2113,   1506,   1865,   3148,
    3898,   3873,   3344,   2721,
    2824,   3328,   3509,   3651,
    3773,   3246,   2171,   1550,
    1374,    801,    728,   1672,
    1741,    820,    713,    916,
     539,    400,    460,    234,
      12,   -165,   -403,   -547,
    -691,  -1114,  -1674,  -2569,
   -3688,  -3892,  -3495,  -3467,
   -2968,  -1607,    -91,    686,
    -311,  -2024,  -2533,  -2733,
   -3548,  -3423,  -2628,  -2897,
   -3644,  -3479,  -2535,  -2423,
   -3443,  -3354,  -1948,  -1981,
   -2974,  -1980,   -735,  -1562,
   -1373,    281,    182,  -1500,
   -2219,  -1081,   -534,   -979,
      48,   1817,   2622,   3522,
    4371,   3332,   1595,   1043,
     850,    711,   1181,   1593,
    1962,   2262,   1573,    406,
     126,    494,    574,    792,
     691,   -288,     37,   1523,
    1688,   1235,   1308,   1794,
    1739,   1006,    870,    943,
    1096,   1544,    705,   -895,
   -1070,   -737,   -561,    375,
     881,     80,    725,   2049,
    1383,   1571,   2150,    682,
    -504,    722,   1443,   -164,
     129,   1590,   -143,  -1947,
    -165,   1386,   -262,  -1382,
     963,   3481,   3030,   1501,
    1272,   1126,   -351,   -383,
    2289,   3161,    989,    745,
    2511,   2199,    263,    -42,
     655,     -2,   -159,    900,
    1795,   1920,   1634,   2158,
    2564,   1515,   1109,   2877,
    3190,    957,     97,    997,
    1272,   1460,   1810,    925,
     -32,    497,   1539,   1365,
     765,   1323,   1288,    -65,
   -1024,  -1957,  -1789,    930,
    2952,   1992,     96,   -716,
    -766,   -594,    -29,    555,
     106,   -913,   -614,   -161,
   -1267,  -1992,  -1028,   -681,
   -2732,  -4383,  -3344,  -1979,
   -1218,   -124,   -106,  -1250,
   -1358,   -482,   -576,  -1288,
    -690,     97,   -516,   -661,
     165,   -196,   -951,   -692,
   -1288,  -2632,  -1952,    237,
    1140,    608,    315,    676,
    1308,   1722,    553,  -1095,
    -342,   1069,   1044,   1045,
    1130,    941,    978,    397,
    -461,     82,   1404,   1987,
    2317,   2330,    976,   -253,
     588,   1482,    407,   -209,
     903,   1975,   2046,   2561,
    3871,   3518,   1927,   1586,
    2512,   2947,   2499,   2015,
    1602,    831,     68,    514,
    1836,   2123,   1321,   1611,
    2553,   2063,    881,   1012,
    1514,    636,   -543,  -1058,
   -1022,   -512,    649,   2268,
    2136,   -302,  -1137,   -232,
    -488,  -1098,  -1048,   -283,
    -133,  -1883,  -3088,  -1765,
    -808,  -1446,  -1611,  -1911,
   -2350,  -1361,   -326,    196,
     898,   -233,  -1918,  -1344,
    -224,   -844,  -1780,  -1154,
   -1589,  -3212,  -2245,    263,
     128,  -2263,  -2947,  -1209,
      30,   -180,    -92,    918,
     974,   -947,  -1057,   1480,
    1754,    337,    884,   1160,
    -686,  -1038,    796,   1053,
    -119,   -440,   -266,    141,
     646,    813,   1456,   2495,
    2402,   1963,   2419,   1713,
     -12,    130,   1184,   1555,
    2091,   2093,   1387,   1669,
    2289,   1937,   1270,    949,
     676,     59,   -214,    -82,
    -296,    441,   2681,   3772,
    2398,   1313,   2096,   2666,
    2138,   2089,   2831,   2222,
     565,    158,   -139,  -1264,
   -1002,    516,    -23,  -1815,
   -1440,   -848,  -1679,  -1271,
    -110,   -190,   -245,    471,
     644,   -200,   -489,    175,
    -748,  -2863,  -3163,  -2652,
   -2962,  -2648,  -2107,  -2773,
   -3327,  -2843,  -1543,   -342,
    -431,  -1235,  -1503,   -637,
     368,   -477,  -2059,  -2035,
   -2011,  -2533,  -1772,   -566,
      69,    544,    921,   1132,
    1259,    750,   -155,    -87,
    -293,  -2208,  -2976,   -949,
      94,  -1084,   -732,   1078,
    1499,    733,    929,   2607,
    2786,   1132,    882,   1173,
     210,   -335,    333,    754,
       2,   -509,    938,   2621,
    1885,    909,   2083,   2981,
    1987,   1152,   1793,   2290,
    2488,   2951,   2408,   1464,
    1912,   2942,   2938,   1558,
    -203,    -81,    618,    256,
     585,   1637,   2493,   2215,
     378,   -888,    -28,   1367,
    2309,   2684,   1632,    306,
     448,    737,    700,   1213,
     417,  -1350,  -1146,    795,
    1079,    -40,    448,    535,
   -1086,  -1474,     70,    460,
   -1645,  -2807,   -516,   2211,
    1883,    371,    865,    901,
   -1861,  -2112,   1150,    802,
   -2147,  -1400,    507,   -534,
   -1693,   -558,    245,   -719,
   -1260,   -635,     50,   -177,
    -889,   -465,    279,   -501,
    -916,    333,     92,  -1570,
   -1772,  -1385,   -824,    546,
     900,    121,    -43,    380,
     642,    351,   -219,   -726,
   -1458,  -2004,  -2261,  -2383,
    -926,   1311,   2052,   1731,
     937,   -112,   -491,   -241,
     425,   1636,   1689,    862,
    1098,    471,  -1152,   -616,
     731,   -487,  -2179,  -1776,
   -1710,  -1814,    626,   3085,
    2734,   1719,   1593,    898,
      61,    946,   2006,   1091,
    -213,   -391,   -579,   -800,
    -264,    108,   -591,  -1485,
    -663,   1601,   2333,   1091,
      53,   -514,   -424,   -190,
   -1444,  -2135,   -699,    187,
      28,    372,    355,     -8,
       9,   -380,  -1005,  -1244,
   -1732,  -1726,   -438,   -637,
   -2802,  -2964,   -723,   -216,
   -1088,   -523,    682,    964,
     290,    745,   1339,     -1,
   -1266,  -1371,  -1460,  -1516,
   -1199,   -792,    -36,     43,
    -597,   -116,    605,   -580,
   -1637,   -546,    201,   -662,
   -1386,   -809,    -82,    465,
     669,     73,    340,   1438,
    1918,   2004,   1272,      0,
    -364,   -769,  -1018,   -546,
      49,    693,     37,  -1679,
   -1763,    140,   1423,   1620,
    1347,    194,   -345,    188,
     575,   1815,   2293,   -314,
   -2375,  -1370,   -388,  -1393,
    -997,    476,   -570,  -1424,
     763,   2624,    411,  -2617,
   -1303,   2023,   2572,   1219,
     760,   1169,   -127,  -2004,
    -358,   1354,   -190,   -351,
    1986,   2260,    638,    593,
    1172,    120,  -1137,  -1136,
    -567,   -603,  -1558,  -1458,
      16,    721,    588,   1600,
    1968,   -810,  -2821,  -2135,
   -1019,    823,   2480,   1053,
   -1525,  -1844,  -1086,  -1091,
   -1030,   -377,   -557,   -918,
    -116,   -183,   -776,    778,
    2252,    948,  -1425,  -2057,
   -1208,   -915,   -667,    367,
     866,   -195,   -726,   -357,
   -1385,  -2070,   -524,    680,
    -473,  -1369,   -737,   -957,
    -974,    272,    318,    -91,
     772,   1166,    274,   -122,
     854,   1168,   -177,  -1017,
    -544,   -156,    179,    743,
     377,   -685,   -723,    636,
    1523,    518,   -965,  -1134,
    -508,    197,    275,   -324,
     295,   1238,    966,    772,
     721,    217,    316,    604,
    -322,   -818,     89,    365,
    -344,   -632,  -1254,  -2303,
   -1198,   1449,   2197,   1016,
     718,   1492,   1386,    821,
    1363,   1671,    146,  -1017,
    -623,   -257,   -148,    413,
    1466,   1707,    602,    325,
    1691,   1904,    116,   -732,
    -275,   -816,  -2228,  -2399,
   -1148,   -214,    284,    818,
     683,    142,    168,   1088,
    1420,   -272,  -1618,  -1428,
   -1399,  -1269,   -422,    287,
     215,   -929,  -2133,  -1262,
     866,   1826,   1419,    966,
     745,    240,   -190,    413,
    1265,    194,  -1160,   -925,
    -359,   -363,   -693,   -681,
    -837,  -1274,   -697,    714,
     875,   -648,  -1400,   -290,
     691,    713,    -71,  -1236,
   -1427,  -2304,  -3882,  -2652,
    -185,     87,   -328,    -70,
    -327,   -785,   -414,    143,
    -240,  -1198,  -1559,  -1356,
   -1874,  -3347,  -3682,  -2018,
    -785,   -450,    920,   1816,
     655,   -248,   -353,   -473,
     -66,   -392,  -1729,  -2341,
   -2115,  -1609,  -1063,   -825,
    -932,  -1268,  -1330,   -906,
   -1184,  -1566,   -612,    198,
    -410,  -1129,  -1024,   -922,
   -1354,  -1652,   -863,     28,
    -351,   -510,   -238,  -1336,
   -2090,  -1039,   -855,  -1987,
   -1312,    -51,   -851,   -628,
    1086,   1389,   1009,    997,
     658,   -175,   -123,    949,
     930,   -453,  -1134,   -523,
     542,   1397,   1504,   1376,
     892,   -180,    178,   1660,
    1308,     56,    -47,    -24,
    -294,   -619,   -550,    338,
     540,    419,   1202,    892,
    -887,  -1203,     29,    175,
    -744,  -1021,   -488,     11,
    -111,   -787,  -1303,  -1116,
    -425,    -27,   -330,   -539,
    -209,   -206,   -671,   -703,
    -299,    -15,   -139,   -536,
    -468,     46,    393,    997,
    1065,   -165,   -651,    -71,
    -433,  -1698,  -1887,   -982,
    -636,   -924,   -774,     19,
     735,    885,     65,   -783,
    -769,   -676,   -264,    106,
    -613,  -1259,  -1179,   -966,
    -196,    880,    884,   -112,
   -1159,  -1803,  -1523,   -348,
     641,    314,   -296,   -167,
    -255,   -426,    167,    772,
     259,   -593,  -1211,  -1486,
   -1178,   -737,   -672,   -912,
    -645,   -360,   -224,     66,
     -18,   -363,   -365,     76,
     316,   -223,  -1074,  -1012,
   -1386,  -2612,  -2103,   -539,
    -362,   -710,    321,   1635,
    1486,    653,    710,    763,
    -122,   -507,   -264,   -500,
    -968,   -582,    443,   1061,
    1024,    763,    669,    458,
     149,    170,    911,   1856,
    1750,    830,     39,   -347,
    -366,    -17,    326,    -82,
    -662,   -588,   -433,   -260,
      23,   -289,   -817,   -596,
    -245,   -202,    130,    -51,
    -717,   -411,     30,   -471,
    -795,  -1087,  -2392,  -3126,
   -2385,  -1899,  -1766,   -670,
    -183,  -1203,  -1501,   -972,
    -883,  -1161,  -1378,  -1674,
   -2040,  -1770,  -1202,  -1340,
   -1833,  -1921,  -1788,  -1445,
    -968,   -790,   -602,   -690,
   -1533,  -1878,  -1563,  -1665,
   -1632,  -1182,  -1185,  -1558,
   -1632,  -1552,  -1562,  -1588,
   -1574,  -1598,  -1738,  -1520,
    -582,    226,    120,   -306,
    -447,   -247,    125,    134,
    -520,  -1202,  -1326,  -1000,
    -386,   -283,   -850,   -816,
    -299,   -570,   -887,    455,
    2176,   2122,   1204,    697,
     185,   -394,   -266,    168,
    -112,   -589,   -478,   -105,
    -149,   -209,    414,   1041,
     985,    802,    962,   1106,
     941,    543,    101,   -277,
    -431,   -448,   -439,   -139,
      87,   -270,   -317,    590,
    1036,    321,   -738,  -1448,
   -1664,  -1404,   -764,   -611,
    -721,   -161,    147,   -879,
   -1641,  -1192,   -884,   -771,
    -584,   -776,  -1478,  -1540,
    -893,  -1139,  -1755,  -1303,
    -441,   -462,   -466,     -6,
      91,   -424,   -919,   -830,
   -1331,  -2249,  -2130,  -1596,
   -1626,  -1443,   -656,   -432,
   -1315,  -1575,   -436,     52,
    -489,   -717,   -668,   -586,
    -119,    -79,   -814,  -1362,
   -1488,  -1282,   -699,   -162,
     -68,   -295,   -574,   -535,
    -198,    690,   1657,   1505,
     570,   -119,   -232,     51,
     447,    675,    665,    361,
      15,   -466,   -463,    348,
     814,   1068,   1476,   1563,
    1519,   1947,   1932,   1211,
     856,   1036,   1119,    924,
     637,    101,   -190,   -113,
     383,   1335,   2032,   1733,
    1114,    942,    434,     76,
     376,    350,   -404,  -1083,
    -939,   -511,   -198,    403,
     550,     90,     59,   -164,
    -766,   -566,   -131,   -471,
    -854,  -1345,  -1990,  -1549,
    -627,   -716,  -1383,  -2001,
   -2279,  -2122,  -1879,  -1412,
   -1009,   -849,   -792,   -379,
     243,    354,    220,    406,
     901,    339,  -1151,  -1473,
    -679,   -742,  -1361,  -1085,
   -1188,  -2207,  -2130,   -760,
     -24,   -418,    134,   1440,
     553,  -1056,   -696,    -90,
    -621,   -945,  -1123,  -1536,
   -1444,  -1109,   -766,   -551,
    -728,   -786,     86,    805,
     528,    168,    129,     88,
       4,    329,    363,     54,
     321,    685,    369,   -317,
    -808,   -415,    413,    303,
    -399,   -736,   -416,   -104,
    -156,   -175,   -317,   -633,
    -349,    227,    -62,   -515,
    -121,   -222,  -1016,   -824,
    -850,  -1650,  -1625,   -935,
   -1374,  -2033,   -866,    -23,
    -922,  -1701,  -1289,  -1438,
   -2801,  -2887,  -1088,     30,
    -506,  -1268,  -1566,  -1797,
   -2091,  -1149,    280,   -357,
   -1614,   -851,    385,    512,
     326,    134,   -343,  -1139,
   -1970,  -2576,  -2428,  -1965,
   -1507,   -598,     81,    -69,
    -129,    492,    450,   -357,
    -478,     21,    503,    881,
     656,   -100,   -716,   -801,
    -640,   -706,   -547,   -218,
    -170,    125,    791,    793,
     780,   1554,   1858,   1132,
     396,    302,    147,   -270,
    -217,    125,   -430,  -1151,
    -563,    344,    452,    756,
    1753,   1873,    805,    119,
      -1,   -484,   -625,   -388,
    -761,  -1102,   -718,   -195,
    -342,   -566,   -443,   -641,
    -886,   -566,   -292,   -405,
    -275,   -129,   -675,  -1293,
    -853,     24,    244,   -205,
   -1019,  -1498,  -1045,   -407,
    -728,  -1045,   -452,    -52,
     -88,      4,    249,    525,
     793,    663,    308,    321,
      56,   -651,   -892,   -722,
   -1084,  -1387,   -713,   -212,
    -656,  -1013,   -381,    420,
     553,   1130,   2045,   1104,
    -727,   -945,   -327,    -97,
    -143,   -239,    -76,   -175,
    -550,     84,    995,    484,
    -370,     40,    556,    155,
     -52,    490,    862,    650,
     315,    -13,   -104,     32,
     269,    871,    878,   -275,
    -578,    135,    148,   -280,
    -386,     31,    154,   -393,
    -266,    732,   1024,    376,
    -360,  -1007,  -1237,   -836,
    -399,    -94,    298,     -8,
    -555,   -331,    242,    170,
    -317,     28,     39,   -982,
   -1234,   -461,   -659,  -1756,
   -1706,   -332,    806,    378,
    -774,   -954,   -616,  -1011,
    -687,    803,    870,     10,
     255,    543,   -124,   -586,
     -72,    242,   -439,  -1176,
   -1334,  -1053,  -1082,  -1302,
    -741,     55,    160,    307,
    1223,   1405,    442,   -278,
    -423,    -39,    426,    148,
    -512,   -954,  -1298,  -1183,
    -766,   -538,   -328,     22,
     666,    875,    315,    208,
     939,   1499,   1098,    137,
    -432,   -481,   -704,   -683,
      69,     57,   -589,   -434,
     -46,    174,    788,   1417,
     969,    253,    439,    314,
    -156,    190,    402,   -119,
    -136,    591,    848,    566,
     682,    953,    457,   -351,
    -246,    358,    653,    686,
     339,   -403,  -1128,   -899,
     238,    871,    254,   -864,
   -1402,  -1238,   -909,   -802,
    -402,    -27,   -453,   -624,
    -194,   -314,   -618,   -218,
     -97,   -563,   -850,   -834,
    -853,   -954,  -1098,  -1489,
   -1427,   -738,      9,    144,
    -279,   -445,   -617,   -916,
    -720,    -96,     73,   -219,
    -645,   -919,   -789,   -766,
    -718,   -354,   -401,   -833,
    -541,     53,   -146,   -426,
     174,    654,    129,   -529,
    -455,     23,    469,    630,
     216,     -4,    -15,   -165,
    -281,   -757,  -1298,  -1113,
    -482,   -147,    162,    481,
     523,    491,    508,    423,
     442,    735,    291,   -840,
   -1433,  -1331,   -972,   -335,
     527,    960,    778,    346,
     209,    760,   1263,   1076,
     686,    484,     90,   -458,
    -430,   -276,   -732,   -952,
    -155,    738,    737,    409,
     916,   1605,   1104,    499,
     889,   1068,    429,    215,
     374,   -217,  -1043,   -742,
     288,    277,   -363,   -480,
    -441,   -545,   -264,    486,
     981,    840,    387,    389,
     370,   -129,   -424,   -537,
    -643,   -780,   -984,  -1104,
   -1054,   -668,     14,    573,
     436,   -141,   -276,   -238,
    -476,   -623,   -817,  -1216,
   -1126,   -493,   -278,   -667,
   -1000,  -1019,   -633,    -57,
     129,     53,    -69,   -430,
    -640,   -266,    -66,   -417,
    -425,   -244,   -611,   -828,
    -235,    403,    490,    314,
     163,    -78,   -188,    139,
     230,   -151,   -287,   -169,
    -103,    165,    513,    645,
     544,    233,     90,    505,
    1064,   1388,   1457,    834,
      27,   -239,   -218,    -67,
     186,    449,    710,    728,
     218,   -103,    155,    337,
     325,    316,    143,    112,
     470,    644,    255,   -275,
    -299,   -260,   -397,   -400,
    -268,    254,    581,    384,
     379,    706,    808,    287,
    -463,   -784,   -761,   -784,
    -473,    -73,   -421,  -1012,
   -1153,  -1073,   -954,   -404,
     400,    569,    113,   -288,
    -292,    159,    401,   -247,
   -1084,  -1393,  -1643,  -2200,
   -2191,  -1277,   -581,   -395,
     -50,    445,    401,    157,
     429,    536,    -99,   -617,
    -567,   -653,   -755,   -695,
   -1000,  -1291,   -952,   -265,
     551,   1217,   1313,    810,
     324,    458,    557,    341,
     194,    123,   -243,   -465,
     -77,    212,    269,    298,
     487,    379,    -67,    157,
     931,   1311,   1166,    891,
     418,   -149,   -421,   -121,
     220,     71,   -285,   -482,
    -349,     90,    484,    384,
     358,    591,    713,    937,
    1075,    922,    582,    -26,
    -388,   -252,   -291,   -194,
     154,   -161,   -900,   -767,
     163,    857,   1217,   1294,
     743,   -108,   -545,   -748,
    -785,   -531,   -507,   -832,
   -1026,   -908,   -623,   -246,
       3,     36,    -34,   -135,
     -94,     44,    -50,   -350,
    -663,  -1056,  -1263,  -1058,
    -702,   -383,   -121,    -43,
    -218,   -366,   -302,   -237,
    -299,   -192,    -84,   -365,
    -463,    -83,    183,    184,
     222,     58,   -221,   -412,
    -586,   -370,   -250,   -427,
    -219,    228,    395,    246,
     105,     -2,   -201,   -283,
     -32,    123,   -387,   -970,
    -870,   -577,   -448,   -207,
     141,    232,    148,    203,
     333,    399,    239,     35,
    -211,   -697,  -1230,  -1300,
    -936,   -493,   -248,   -222,
      57,    241,     10,   -164,
      32,    225,    308,    220,
    -136,   -425,   -639,   -795,
    -868,   -631,   -473,   -126,
     699,   1121,    881,    422,
     412,    740,    841,    657,
     613,    509,    141,    -80,
      26,     27,    -47,    276,
     649,    686,    377,    383,
     619,    739,    573,    163,
     -76,   -249,   -122,     47,
      16,    -57,     56,    264,
     443,    579,    307,    -69,
    -238,   -404,   -493,   -275,
       2,    158,     80,   -144,
    -394,   -479,   -490,   -704,
    -899,  -1200,  -1245,   -820,
    -314,     42,    191,    -31,
    -690,  -1170,  -1300,  -1249,
   -1004,   -868,  -1129,  -1360,
   -1059,   -737,   -815,   -831,
    -716,   -659,   -606,   -571,
    -389,   -143,   -267,   -472,
    -485,   -643,   -764,   -684,
    -592,   -704,   -684,   -228,
     141,    199,    171,      7,
    -277,   -318,   -256,   -172,
     -38,    119,     51,   -236,
     -86,    187,    314,    509,
     596,    388,    206,    332,
     593,    728,    598,    327,
      20,   -200,    -49,    584,
     983,    888,    757,    387,
    -101,   -212,   -180,   -330,
    -424,   -286,    -95,     96,
     339,    514,    413,    -59,
    -613,   -942,   -985,   -847,
    -598,   -418,   -431,   -392,
    -139,     80,   -174,   -436,
    -420,   -266,   -204,   -315,
    -214,   -378,   -693,   -834,
    -908,   -905,   -897,   -680,
    -401,   -384,   -585,   -511,
    -139,      2,   -101,   -333,
    -658,   -765,   -642,   -537,
    -309,    -32,     96,    305,
     417,     80,   -269,   -331,
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      -6,     -8,     -8,     -6,
      -5,     -3,      0,      0,
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    -928,  -1938,   -699,     60,
    -831,   -788,   -302,  -1137,
   -1237,     16,    974,   1765,
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     935,   1502,   1278,   -133,
   -1482,   -323,    766,     25,
    -246,   -276,   -602,  -1168,
    -764,    626,   1302,   1595,
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   -1752,   -163,   1423,   1632,
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      -1,    976,   2095,   2153,
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     -11,   -266,   -108,   -122,
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    -169,   -722,   -950,     63,
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    -784,   -196,    711,   1009,
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    -478,    428,    577,    -57,
      -9,    344,    554,    514,
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     -49,   -980,  -1209,   -394,
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    -355,   -594,   -213,     57,
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    -798,   -897,   -945,   -535,
     287,    406,   -429,  -1269,
   -1216,   -591,   -301,    -49,
     223,     67,    -47,     99,
     180,   -131,   -803,  -1214,
   -1093,   -709,   -333,    -62,
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     497,   -341,   -285,    323,
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     383,    363,    706,   1070,
     633,   -169,   -443,   -102,
      31,   -252,   -122,     34,
     386,    885,    470,   -428,
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    -324,   -277,   -411,   -383,
    -707,   -917,   -199,    528,
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    -150,   -151,     41,    654,
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    -233,   -174,   -360,    -87,
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     830,    624,   -148,   -187,
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    -975,  -1350,  -1317,   -652,
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    -444,   -194,   -640,  -1140,
    -961,   -779,   -575,   -198,
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      69,   -777,   -429,   1177,
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   -7241,  -9965, -11075,  -9170,
   -9250,  -7338,  -1021,    776,
    -583,  -3344,  -8324, -11076,
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    -185,  -1031,  -2334,  -3436,
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    7438,   9958,  11566,   9921,
    7153,   5935,   5528,   5764,
    6033,   5167,   3039,    136,
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   -2671,  -3506,   -938,   3360,
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   -5773,  -4623,  -4175,  -4104,
   -6399,  -9123, -10030, -10181,
   -7261,   -865,   4130,   5128,
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    1992,   1358,  -1250,  -1977,
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   -1523,   2474,   6301,   6788,
    5312,   1143,  -2419,  -1117,
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    2469,  -7358, -12875,  -8041,
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   -6752,  -6969,  -6763,  -4089,
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    5368,   3106,   2746,   3884,
    4690,   4981,   5552,   4885,
    3409,   2647,   1720,     98,
   -2222,  -3877,  -2788,   -776,
    -517,     65,    202,  -2392,
   -3054,  -1968,  -1283,   1324,
    4046,   3239,    110,  -1450,
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    -307,   -570,    524,  -1427,
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   -5274,  -6938,  -7634,  -8223,
   -7546,  -5290,  -2336,  -2682,
   -5103,  -4932,  -4103,  -3713,
   -4170,  -4681,  -2717,   1900,
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    -603,    775,   -233,    158,
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    -975,  -1086,   1021,   4431,
    4724,   2482,   1879,   2647,
    2355,   2580,   2928,    743,
   -1238,   -658,    416,   1597,
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     812,   2283,    776,  -1049,
    -298,    599,    691,    718,
     485,   -961,  -1607,  -1768,
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   -5393,  -4782,  -2329,  -1047,
    -846,   -650,    235,   1619,
    3511,   4974,   4499,   2467,
    1323,   1665,    913,   -790,
    -942,   -375,  -1029,   -996,
     763,   2942,   4128,   3001,
    1949,   2209,   1686,   1543,
    2535,   2172,    976,    798,
     365,    180,   1125,    634,
   -1569,  -2814,  -1832,   -529,
      15,    845,     42,  -2750,
   -3123,   -495,    683,   -189,
   -1180,  -2112,  -2658,  -2012,
     147,    608,  -1020,  -1086,
    -441,    320,   1073,    392,
    -424,   -690,   -336,    606,
    -338,  -2159,   -774,   2226,
    3342,   2422,   1256,    810,
     -78,   -810,   -257,   1374,
    2593,   1276,   -794,  -1262,
    -684,    246,   1107,   1146,
     490,    659,    706,   -586,
   -1042,    -72,   1034,   1087,
    1351,   2493,   1164,  -1074,
   -1354,  -1618,  -3222,  -4733,
   -4261,  -2576,   -508,    879,
      84,  -1676,  -1497,    969,
    2194,   1119,     75,    161,
     458,    665,   1105,    799,
    -753,  -2216,  -1790,    117,
    2776,   4298,   2622,    -27,
    -572,   2103,   4146,   3500,
    3484,   4187,   5169,   5997,
    5129,   2757,    106,   -853,
     220,   1304,   1244,    698,
     741,   1076,    150,   -830,
    -186,    190,   -384,   -400,
     622,   1987,   2121,   1387,
    2118,   3286,   2390,   1101,
    1822,   2703,   2081,    464,
   -1848,  -2337,   -186,    523,
    -731,  -1117,   -834,   -509,
    -815,  -1582,  -1043,    946,
    3247,   4098,   4166,   4101,
    3028,   2137,   1712,   1827,
    2362,   2117,   1645,   1534,
    1232,    567,   -536,  -2314,
   -3980,  -4358,  -3004,   -462,
    1374,   1243,    545,    647,
     286,   -215,    350,    608,
     985,   2078,   1712,   -677,
   -2108,  -2098,  -2783,  -2460,
    -528,    660,    149,  -1001,
   -1600,  -1196,    291,   1472,
    1361,    -74,  -1136,   -841,
    -277,    735,   1950,   2334,
    1300,     91,    394,   1363,
    1058,   -960,  -1970,   -507,
     477,     47,   -407,   -383,
     369,    633,    122,   -490,
   -1514,  -2217,  -1495,   -419,
    -170,     38,   -140,  -1294,
   -1598,   -517,    353,    855,
     403,   -758,   -791,   -328,
     134,    595,    -93,  -1045,
    -258,   1122,   2335,   3324,
    2150,     64,   -848,  -1408,
   -1724,   -801,    577,   1533,
    1957,    946,   -307,    314,
    1349,    542,   -312,    136,
     991,   1805,   1791,   1676,
    1667,    662,   -359,   -212,
    -181,   -855,  -1171,  -1042,
    -513,   -166,    209,    757,
     320,   -245,    223,    606,
     229,    905,   2137,   1281,
    -310,    121,   1445,   1261,
      49,  -1219,  -2793,  -3404,
   -2361,  -1572,  -1667,  -1411,
      24,   1261,    993,    306,
    -242,   -723,   -385,    589,
    1063,   1507,   1889,   1052,
    -469,   -747,     76,   -522,
   -1435,   -951,  -1111,  -1848,
   -1453,   -939,   -999,   -776,
    -170,   -129,   -610,    231,
    1836,   2000,   1144,    255,
    -671,  -1182,  -1059,   -493,
     309,    862,    544,   -725,
   -1662,  -1862,  -2004,  -1998,
   -1774,  -1192,    384,   1570,
    1116,    385,    -72,   -322,
    -646,   -768,   -415,   -206,
     129,    514,    635,    529,
     -36,  -1207,  -1918,  -1409,
    -345,    505,    164,  -1037,
   -1618,  -1495,   -764,    553,
    1396,    884,   -425,   -494,
      69,   -135,    147,    114,
    -340,    694,   1715,   1026,
      -3,   -532,   -898,   -894,
    -611,    -66,    922,   1415,
    1187,    493,    -46,    833,
    1784,   1729,   1627,   1480,
     818,    159,   -134,   -433,
    -352,   -434,  -1072,   -742,
     427,    783,    557,    445,
     169,     52,    371,    918,
    1449,   1893,   2225,   1945,
     939,    193,    323,   1025,
    1624,   1445,   1302,   1841,
    1911,    999,    472,    983,
    1548,   2136,   2718,   1906,
     170,   -577,   -403,    299,
     826,    273,   -352,   -424,
    -241,    353,   1026,    407,
   -1097,  -1018,    828,   1620,
     526,   -108,    -46,   -239,
    -648,   -756,    -55,    120,
     -22,    633,    795,    212,
      44,    356,    272,   -291,
     -93,   1177,   2591,   3001,
    1786,    179,   -490,    199,
    1636,   1892,    963,    649,
    1142,   1411,   1239,    586,
    -626,  -1478,  -1309,   -743,
    -768,  -1226,  -1280,  -1083,
    -997,   -911,   -549,    296,
     759,    -10,  -1637,  -2716,
   -1640,    293,    909,    802,
     749,    925,   1123,    697,
     156,   -368,  -1400,  -2146,
   -2082,  -1808,  -1137,   -353,
    -498,  -1015,  -1107,   -317,
     735,    765,    347,    -61,
    -547,   -685,   -420,   -467,
   -1174,  -1189,      0,    845,
     778,    239,     11,    792,
    1055,    549,    583,    586,
     784,   1781,   2002,    725,
    -460,  -1007,   -789,    100,
     379,    497,   1095,    805,
    -384,   -374,    803,    955,
      48,   -246,   -172,   -286,
      22,    490,    184,  -1022,
   -1714,  -1103,    123,   1100,
    1136,    125,  -1180,  -1757,
   -1566,   -611,    579,    531,
    -364,   -525,   -405,   -918,
   -1688,  -1873,   -668,    459,
     628,    944,    295,  -1398,
   -1955,  -1426,   -686,   -312,
   -1023,  -1561,   -916,   -396,
   -1192,  -2200,  -1526,   -363,
     151,   1346,   2403,   1848,
     565,   -105,   -461,  -1421,
   -2290,  -2209,  -1270,   -305,
     -85,   -968,  -1977,  -1726,
    -967,    215,   1339,    862,
    -121,    295,   1832,   2595,
    1726,    543,    568,   1444,
    1657,    818,    170,   -135,
    -770,  -1194,  -1266,  -1392,
   -1534,  -1515,   -833,    635,
    1325,    653,     15,    742,
    2257,   2435,   1830,   2445,
    3774,   3592,   1810,    480,
     292,    434,    816,   1739,
    1908,   1272,    842,    349,
     202,   1031,   1385,     76,
   -1362,  -1309,    384,   1960,
    2371,   2660,   2803,   2933,
    3732,   4269,   3639,   2176,
    1395,   1987,   1995,   1279,
    1092,   1407,   2170,   2807,
    3028,   2882,   2194,   1762,
    1802,   1228,   1246,   2490,
    3315,   2889,   1183,   -183,
    -627,   -707,    -75,    864,
    1371,   1424,   1088,    512,
     451,    989,   1556,   1388,
     748,   1016,   1673,   1514,
     607,    114,    752,    925,
    -320,  -1439,   -985,     65,
     715,   1441,   1427,    674,
      12,   -434,    -40,    394,
     144,   -296,   -954,   -738,
     840,   2372,   2561,    825,
    -956,  -1166,   -774,   -760,
    -939,   -829,  -1067,  -1744,
   -1256,    226,    806,    852,
    1054,   1265,   1411,    576,
    -460,     76,   1229,   1440,
     661,    258,   1019,   1946,
    2773,   2799,   2318,   2382,
    2468,   2092,   1621,    945,
     261,   1090,   2864,   4295,
    3264,    721,  -4003, -12807,
  -19798, -21288, -14561,  -3710,
    4521,   9408,   4629,  -5711,
   -8705,  -3416,   5589,   8724,
    1703,  -3352,  -2011,   1564,
    4885,   4593,   4178,   4652,
    2678,   1563,   1739,   1001,
    1798,   2528,   2837,   3584,
   -1516,  -8011,  -7360,  -6180,
   -6934,  -6635,  -9402, -12482,
  -10019,  -6180,  -5273,  -5346,
   -2969,   2186,   5249,   3801,
    2676,   4658,   7388,   8531,
    8111,   7503,   6002,   5723,
    8975,  10649,  10064,  10399,
   13702,  16886,  13375,   7816,
    2963,  -2782,  -2817,   4040,
    7587,   3925,  -1774,  -3652,
    -958,    495,  -1014,   -252,
    3444,    -13,  -7316,  -7653,
   -4555,  -1481,   1158,   2184,
    2361,   2386,     12,  -3576,
   -8818, -13505, -11620,  -6481,
   -4923,  -6845,  -4487,  -3466,
   -6895,  -2347,   8556,  14151,
   14062,  11635,   6191,    622,
   -2715,   -803,   4044,   4872,
    2123,    268,   -652,  -1383,
     107,   -608,  -1873,    243,
    2551,   2708,   1709,   2839,
    4166,   2215,  -3167,  -9161,
  -16227, -24613, -31723, -32766,
  -23341, -15611, -16096, -13795,
   -5079,   4330,   5663,    418,
    3154,  14407,  21971,  22853,
   19987,  18130,  18045,  16346,
   16169,  15575,   8165,  -1268,
   -4021,   -574,   3560,   5600,
    6611,   9056,   7012,   3063,
    3152,    318,  -3242,  -4845,
   -1843,   4386,   5573,   7145,
    9181,   7638,   6556,   7223,
    9002,  11043,   9830,   5063,
    4067,   9364,  16010,  18156,
   11200,   -149,  -6567,  -8808,
   -9440,  -7281,  -3440,     31,
   -1982,  -8322, -11650, -11057,
  -10274, -12615, -14199, -12186,
  -10245,  -6423,     -2,   3560,
    3891,   3280,   4022,   4277,
     131,  -2098,    801,   5033,
    8180,   7398,   4553,   3174,
    2080,     82,   -367,   -133,
   -2015,  -5012,  -8594, -10166,
   -5572,   2599,   5554,   -259,
   -6421,  -4478,    442,    991,
    1074,   5224,  12548,  18448,
   17335,  11747,   8114,   6630,
    5896,   5135,  -1595, -14058,
  -21587, -21794, -21755, -22681,
  -20188, -15526,  -9713,  -1220,
    5313,   5530,   1255,  -2546,
   -4920,  -9513, -15782, -19235,
  -17440, -13542, -13112, -13822,
  -11203,  -8082,  -5995,  -4933,
   -4304,    256,   4471,   1369,
   -3772,  -9708, -14383, -10084,
   -2419,   4075,   8509,   7558,
    7689,  13535,  16773,  13336,
    9716,   9101,   9958,  10166,
   11055,  12317,   9018,   2412,
    -721,   4058,   9362,   7688,
    7241,  11040,  11471,   8463,
    3654,  -3355,  -6951,  -2341,
    6113,  10091,  10015,   9105,
    6248,   7446,  10737,   6930,
     155,  -6907, -11703,  -9374,
   -4240,  -2994,  -5953,  -8219,
   -9865, -11595, -11614, -12817,
  -14796, -13633, -10704,  -6650,
   -3631,  -5604,  -6875,  -3280,
     282,   2098,   3066,    435,
   -3867,  -3817,    -60,     11,
   -7192, -13286, -11413,  -5809,
   -1794,   -324,    -30,    984,
    2889,   4534,   2727,   -667,
    1385,   5973,   7233,   5002,
    -699,  -8490, -10493,  -5901,
   -1981,   1257,   2562,   1737,
    2358,   4064,   6735,  12541,
   17703,  16503,  11713,   6987,
    2851,  -1338,  -3497,  -3523,
   -3850,   -742,   4385,   4045,
   -2279,  -6858,  -4175,  -2298,
   -7336, -11348,  -9465,  -2975,
    6063,  13167,  13149,   5713,
   -1627,  -6154, -11297, -12013,
   -4184,   4824,   8831,   6042,
    -971,  -4404,  -1132,   2929,
    3023,   2755,   1684,  -1251,
    2487,  11730,  12672,   4437,
   -1902,  -3083,  -2729,  -2694,
   -2306,  -1065,   1986,   4468,
    1166,  -3707,  -4866,  -5084,
   -3921,   1388,   8623,  14021,
   15567,  11859,   6110,   5170,
   10331,  15948,  15354,   9416,
    1710,  -5945, -10029,  -9595,
   -5109,   -606,    745,   3556,
    8822,  12187,   9032,    489,
   -4513,  -4691,  -5029,  -4323,
     307,   7642,  12673,  12256,
    6914,   -618,  -4997,  -4736,
   -4636,  -6397,  -7606,  -9234,
   -9541,  -5252,   -476,   1596,
    2296,   4352,   8391,   9258,
    4638,  -1823,  -5735,  -4290,
    -833,    128,  -1057,  -4189,
   -6934,  -4644,   1624,   7317,
    9820,   9024,   6718,   4921,
    4026,   2387,    894,   2550,
    5940,   8121,   8714,   7759,
    3301,  -2154,   -819,   4619,
    6327,   3611,    396,   1417,
    5412,   8234,   8272,   7398,
    8804,  11639,  11627,   7480,
    3046,    619,   -161,   -708,
    -948,   1723,   5828,   5534,
    1367,  -1036,  -2218,  -3511,
   -4428,  -4301,  -1667,   1178,
    2575,   2801,   2189,   3177,
    4144,   2488,   1503,   1590,
     212,  -2494,  -5266,  -5953,
   -4116,  -2802,  -3020,  -1971,
    -571,  -1761,  -2308,    398,
    2116,   1941,   1070,  -1397,
   -3107,  -4818,  -7987,  -8284,
   -4165,   1736,   6904,   7909,
    6072,   6706,   8067,   5992,
    1342,  -3131,  -5728,  -4626,
    -558,   1814,   2279,   3082,
    3897,   4499,   4685,   4906,
    3880,    295,  -3508,  -5531,
   -4968,  -4184,  -6292,  -8411,
   -7167,  -3815,   -725,    594,
     672,    787,    547,   -256,
   -2365,  -5740,  -7764,  -6664,
   -2804,    776,    902,   -163,
     375,   1609,   2507,   1732,
     283,   -668,  -1595,  -1898,
   -1755,   -997,    750,   3634,
    6780,   7950,   5437,    290,
   -3560,  -2776,    944,   2647,
    3030,   4482,   5090,   3862,
    2228,    329,  -2058,  -4121,
   -4480,  -1258,   2656,   2558,
    -484,  -2812,  -3371,  -2559,
   -1198,   -508,   -263,  -1072,
   -3737,  -5491,  -3172,    903,
    3282,   4053,   3249,   3013,
    5314,   6111,   1965,  -3704,
   -4787,   -664,   2233,  -1026,
   -5873,  -6328,  -3924,  -1043,
    1203,   2312,   3373,   4548,
    6126,   8310,   8678,   6420,
    4227,   1957,   -446,  -2246,
   -4790,  -6071,  -4252,  -1969,
   -1260,   -818,    794,   2138,
    2348,   2810,   2558,   1355,
     741,   -239,   -380,   1476,
    2871,   2526,   1352,   1133,
    1999,   2578,   2157,    163,
   -2169,  -2471,    -17,   3350,
    4157,   3373,   4435,   6173,
    5186,   1063,  -2282,  -2767,
   -2528,  -2604,  -2322,   -820,
     217,  -1338,  -3150,  -3422,
   -2882,  -2010,   -568,   1139,
    2427,   4895,   7016,   4484,
    -262,  -2344,  -1660,    543,
    2636,   2989,   2413,   1298,
    -331,  -1324,  -1852,  -1922,
    -804,     99,    -56,    378,
    1780,   3215,   4036,   4326,
    4402,   3230,   1342,   -707,
   -3057,  -3480,  -1344,    959,
    1052,     69,   -656,  -1092,
    -400,   -257,  -1038,   -587,
     956,   1816,   2215,   1533,
   -2497,  -6092,  -3750,   2285,
    5382,   4244,   3082,   3718,
    4859,   5339,   4336,   1983,
    -127,  -2114,  -4837,  -7136,
   -7492,  -4634,   -625,   1204,
    2375,   3981,   3893,   2084,
    1054,   1453,   1418,    476,
    -218,   -764,  -1884,  -3027,
   -3521,  -3273,  -1202,   2786,
    5848,   6362,   4604,   1626,
    -496,  -1129,   -857,     19,
    1089,    543,  -1640,  -2125,
     -91,   1007,    256,    574,
    2105,   3074,   3399,   3360,
    1500,  -1282,  -1811,   -761,
     -53,    559,   1479,    956,
    -928,  -2698,  -3639,  -2088,
    1325,   3658,   2954,   1136,
     185,   -264,    -50,    745,
    1877,   2423,   2070,   1732,
    1676,   1757,   1992,   1805,
     514,   -969,  -1108,   -327,
    -295,    -51,   1227,   2157,
    1854,    837,   1375,   3373,
    4382,   3899,   2407,    731,
     -37,   -592,  -1471,  -1607,
    -773,    747,   1457,    568,
     330,   1450,   2602,   3447,
    4130,   3649,   1363,   -250,
     446,   1569,   1438,   -982,
   -3776,  -3687,  -1736,    651,
    2557,   3214,   3264,   2222,
     453,   -305,   -495,  -1667,
   -3398,  -3883,  -2313,    225,
    2239,   2800,   1532,   -562,
   -1704,  -1141,    478,   2355,
    2859,   1138,   -358,   -647,
    -628,    595,   2323,   1974,
     188,   -450,    450,   1794,
    2499,   2453,   2570,   2681,
    2026,   1466,   1978,   2672,
    2130,    385,  -1443,  -1978,
    -946,   -153,   -143,   -325,
    -416,    378,   2009,   3630,
    4292,   3709,   1990,    -74,
   -1141,   -660,    134,   -172,
    -468,    -78,    445,   1185,
    2004,   1365,   -496,  -1577,
   -1535,   -826,    153,   1734,
    2483,   1482,    -52,  -1508,
   -1978,  -1268,    -48,    564,
    -233,  -1476,  -1799,  -1538,
   -1043,  -1600,  -3969,  -4787,
   -2442,    706,   1909,    756,
    -616,   -264,    488,   -483,
   -1728,  -1520,   -409,    595,
    1027,    709,   -295,  -1445,
   -1486,    364,   2990,   4181,
    3241,   1517,    606,    627,
     426,   -124,   -759,  -1001,
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     865,    657,    684,    550,
      12,   -369,   -766,  -1090,
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    -814,   -832,   -147,   -226,
    -648,   -316,    298,   1051,
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    -812,  -1119,  -1026,   -372,
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    -914,   -200,    302,    107,
    -579,   -697,   -253,     76,
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    -488,   -999,   -364,    706,
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     569,    759,    863,    696,
     502,    520,    425,     54,
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     917,    564,    -30,   -650,
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       9,   -185,   -740,  -1530,
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    -474,   -991,   -796,    324,
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    -506,   -369,   -241,    -15,
      48,   -421,  -1026,   -917,
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    -120,   -150,   -333,   -418,
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     339,    208,    530,    833,
     557,    264,    587,    945,
     559,   -210,   -348,    110,
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    -479,   -487,    -98,    -91,
    -203,   -184,    116,    639,
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     145,    -42,   -416,   -815,
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    -971,   -788,     35,    517,
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     183,   -139,   -380,   -664,
    -760,   -772,   -583,   -238,
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    -354,   -681,   -142,    335,
     -46,   -666,   -827,  -1103,
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    -709,   -925,   -760,     40,
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      91,    -35,    496,    999,
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       0,  -1150,  -1557,  -1143,
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     126,    154,    174,     32,
      -6,     31,     85,    227,
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     869,    207,    -50,    136,
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     -98,   -298,   -208,    314,
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    -836,  -1291,   -715,    520,
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      21,    -44,   -146,   -579,
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      36,   -108,    165,    344,
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      31,    -72,     54,     87,
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    -764,  -1293,  -1164,   -232,
     931,   1396,    631,   -352,
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       2,   -118,     51,    319,
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    -946,   -302,     33,     56,
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    -789,  -1017,   -870,   -412,
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     793,   1484,   1105,    119,
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     -89,   -264,    172,   1265,
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    -255,   -105,    105,    -63,
    -334,   -100,     69,    -52,
    -174,   -210,   -440,   -818,
    -735,   -667,   -289,    566,
     902,    558,    104,   -154,
    -188,    168,    436,    574,
     776,    591,     35,   -367,
    -732,   -840,   -319,     57,
     102,    251,    351,     66,
    -259,   -413,   -518,   -849,
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     133,     82,    471,    817,
     533,     65,   -218,   -600,
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     398,    188,    312,    379,
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      85,   -380,   -611,   -561,
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     447,    627,    217,   -239,
    -104,     82,   -194,   -341,
    -211,   -122,    306,    707,
     343,    -21,     22,     -2,
     -95,    -90,     41,    265,
     378,    512,    707,    672,
     575,    474,    184,     87,
     490,    662,    161,   -508,
    -635,   -508,   -809,   -773,
    -291,   -105,   -191,   -175,
     189,    387,    144,    -45,
    -147,   -259,   -234,   -305,
    -229,    231,    272,   -169,
    -242,      8,    238,    347,
    -173,   -596,     68,    983,
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    1028,    711,    143,   -487,
    -845,   -677,   -114,    363,
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     108,    -44,   -370,   -139,
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    1100,   1107,    655,    263,
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    -465,   -368,   -256,   -393,
    -247,     81,    216,    101,
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    -885,   -521,    139,    277,
      86,    -80,     43,     63,
    -556,   -836,   -761,   -516,
     239,    791,    368,   -686,
    -827,    -81,    142,   -194,
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    -250,   -607,   -796,   -863,
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    -277,     10,    267,    341,
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     512,   1136,   1496,    923,
     391,    406,    379,    530,
     429,   -129,   -363,   -591,
    -730,   -458,   -397,   -364,
       4,    129,    -88,   -259,
    -302,   -105,    170,    452,
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    -599,   -792,   -517,   -269,
    -363,   -468,   -339,    254,
     595,     47,   -664,   -649,
    -147,    346,    583,     82,
    -265,   -108,     65,    384,
     385,    126,    228,    496,
     608,    755,    872,    877,
     623,    -68,   -461,   -256,
      47,     19,    -86,    -15,
    -193,   -303,   -117,    316,
     555,    318,    105,    103,
     198,   -154,   -392,   -299,
    -165,    -98,   -534,   -904,
    -657,    160,    563,    487,
     272,   -199,   -480,   -444,
     -42,    348,    657,    542,
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       5,     88,   -102,     40,
     460,    674,    383,   -161,
    -418,   -147,    197,     76,
     -90,    -35,    118,     53,
    -104,    -63,    -58,   -130,
    -179,    -38,     11,   -156,
    -143,     25,    131,    160,
      -8,   -340,   -258,    119,
     174,    -87,   -233,   -165,
    -199,   -186,    -14,     40,
     -18,     -5,    155,    275,
     132,   -112,   -164,      1,
     160,    138,    -86,   -397,
    -483,   -259,     19,    196,
     226,     91,    -47,    -41,
      44,     46,    -86,   -178,
     -92,    113,    120,   -116,
    -153,    147,    412,    446,
     248,   -114,   -225,    -67,
     106,    229,    125,   -273,
    -435,   -112,     56,    -18,
     -49,    -75,    -77,     15,
     110,    232,    277,    119,
      -1,    -92,   -193,   -251,
    -269,   -296,   -226,      8,
      73,     23,    102,      7,
    -210,    -45,    181,     96,
     124,    237,     36,   -152,
    -122,    -68,     83,    232,
     172,   -103,   -239,    -63,
     119,    182,    131,    -16,
    -119,    -56,    118,    253,
     131,   -109,   -107,     84,
     157,     26,   -168,    -76,
     198,    140,    -48,   -177,
    -233,   -127,    116,    299,
     205,    118,    -61,   -203,
     -14,     42,   -146,   -286,
    -128,    168,    223,    117,
      25,   -214,   -439,   -317,
     -27,    240,    254,     60,
     -34,    -69,     -4,     32,
    -165,   -302,    -75,    212,
     260,    152,      7,    -90,
    -118,     29,    146,     74,
      53,    115,    150,     97,
     105,     59,   -143,   -160,
      38,    115,     13,    -22,
     -12,     68,    185,    166,
       2,   -181,   -110,     49,
      45,    -12,     -2,    -47,
    -218,   -199,    -58,    -42,
     -17,      5,    -77,   -149,
    -157,    -94,    -74,   -147,
    -117,     54,    250,    186,
     -40,   -104,   -121,   -126,
     -62,      7,     73,     64,
       2,     64,    164,    191,
     125,     17,     36,    155,
     185,    126,     48,    -65,
     -56,     43,    117,    115,
     -12,     -6,     82,     13,
     -17,     11,    -38,   -113,
    -143,    -16,    110,    123,
      24,   -170,   -122,     85,
     112,    -45,   -160,   -127,
    -111,   -110,     10,    159,
      95,   -128,   -204,    -80,
      11,     -6,    -20,     50,
      93,     31,      8,    -12,
    -114,    -77,    117,    127,
      18,     12,      9,     53,
      71,     -4,     47,     82,
     -35,    -71,     42,    149,
      92,      0,    -13,    -17,
     -39,    -38,    -15,    -50,
     -74,      1,    111,     90,
      24,      0,    -20,     40,
     117,    173,    112,    -41,
     -54,     83,    201,    185,
     100,    -70,   -175,    -75,
      22,      4,    -21,     33,
      62,    -11,    -82,     -8,
     113,    123,     49,    -38,
    -118,   -141,    -33,    118,
     220,    186,    -13,   -146,
     -82,    -29,    -55,    -51,
     -43,    -18,    -26,    -45,
     -24,    -29,    -17,     46,
      75,     13,    -40,    -17,
      19,    -41,   -102,    -21,
      67,     71,     69,    114,
      55,    -50,    -41,      5,
       9,    -18,     18,     35,
      -4,     44,     84,     23,
     -26,    -23,    -20,    -34,
     -14,     29,     22,    -25,
     -20,     27,     32,     22,
      11,    -37,    -89,   -113,
     -58,     43,     36,    -66,
    -165,   -169,    -42,     66,
      70,     24,      7,     13,
      34,     90,     63,    -49,
     -48,     46,     93,     53,
     -22,    -31,    -10,     11,
      38,    -31,    -69,     25,
      82,     83,     80,     22,
      -8,     17,     34,     15,
     -22,    -10,     32,     57,
      48,     28,      4,    -51,
     -58,    -21,    -28,    -45,
     -12,      9,    -16,     -8,
       5,     -6,    -36,    -80,
     -96,    -68,     -8,     72,
     148,     98,    -15,    -33,
      -3,      8,    -28,    -59,
     -19,     57,     91,     56,
      22,     22,     17,    -12,
     -18,    -35,    -65,    -39,
      12,     57,     17,    -42,
     -25,    -14,     -5,     85,
     141,     33,    -79,    -48,
      24,     29,     16,    -11,
     -74,    -90,    -14,     76,
      63,      0,    -15,     33,
      32,    -54,    -84,    -60,
       3,     82,     75,     -9,
     -66,    -43,    -28,    -14,
       8,    -22,    -40,    -30,
     -25,     26,     74,     35,
     -24,    -23,     34,     52,
       5,    -13,     24,     43,
      24,     15,      0,    -17,
      23,     60,     20,    -48,
     -20,     71,     81,     15,
     -60,    -69,     -3,     39,
      18,    -33,    -17,     39,
      17,    -48,    -55,     18,
      89,     74,      5,    -24,
     -14,    -13,     -3,     21,
      41,     12,    -26,    -16,
      -3,     43,     91,     20,
     -85,   -110,    -49,     34,
      74,     58,      4,    -41,
     -31,     28,     53,     50,
      52,     15,    -69,   -137,
     -73,     24,     71,     72,
      19,     14,     26,     26,
      17,    -19,    -29,    -27,
      -9,     -9,    -25,    -21,
       5,     58,     37,    -22,
     -44,    -16,     32,     37,
      39,     38,     15,    -20,
      -7,     63,     63,      0,
     -49,    -61,    -20,     24,
      23,     -4,    -47,    -69,
     -39,      0,     12,     11,
      23,     11,    -16,    -53,
     -74,    -15,     63,     81,
      40,     25,     43,     48,
      50,     51,      5,    -47,
     -31,     -5,      0,     -4,
       4,     25,     28,     22,
       1,    -16,    -11,     14,
      29,     16,    -16,    -31,
      -2,     35,     48,     -6,
     -81,    -70,    -12,     26,
      33,      3,    -22,    -11,
       0,    -22,    -44,      1,
      61,     48,      9,    -18,
     -34,    -31,      3,     42,
       7,    -53,    -47,     16,
      90,     93,     14,    -53,
     -65,    -20,     41,     59,
      26,     -3,      4,     21,
      15,    -24,    -41,     -9,
       6,    -13,    -18,     12,
      20,      4,      2,      7,
       1,     -5,      1,     -3,
      -2,      0,    -20,     -4,
      15,    -10,    -21,    -13,
     -20,     -6,      9,    -20,
     -36,     -2,     27,     39,
      18,    -28,    -28,     15,
      25,     13,      0,    -22,
     -21,     -6,     22,     34,
      16,      7,      0,      8,
      10,     -9,    -23,    -25,
      -8,      7,     18,     19,
       8,      5,     22,      1,
     -35,    -23,     -6,      2,
      -4,    -13,     -2,      6,
      14,     13,      4,      0,
       0,     17,     31,     18,
      -5,    -22,    -16,     -4,
       5,      6,    -12,    -25,
      -8,     22,     26,      3,
       0,     15,      7,     -2,
       1,    -17,    -46,    -27,
      14,     19,     -1,    -11,
       9,     25,     21,     11,
     -10,    -28,    -19,      7,
      18,      5,      2,     17,
      12,     -2,     -8,    -12,
     -14,     -8,      8,     12,
      -4,    -15,     -6,     -4,
      -3,      3,    -11,    -21,
      -2,     10,      1,      0,
      12,     24,     18,      1,
      -9,     -5,     14,     31,
      19,    -12,    -29,    -14,
      11,     26,     30,     16,
      -7,    -20,    -16,     -6,
       2,     10,      5,     -9,
      -3,     13,      4,     -6,
      -6,    -18,    -20,     -3,
       5,      6,     -1,    -11,
      -8,      0,      0,      1,
       4,     -5,    -10,      4,
      14,      8,      5,      7,
       7,      3,     -4,     -5,
       1,      1,     -1,      6,
      12,      3,     -6,     -5,
       5,     15,      1,    -23,
     -17,      5,     11,      0,
      -4,     -6,     -4,      7,
      17,      9,     -6,     -3,
       4,     -2,     -7,     -2,
      -2,     -5,      1,      4,
      -2,      0,      1,      0,
       0,     -4,     -3,      8,
      10,      4,     -4,    -14,
     -11,      1,      3,     -3,
      -7,     -2,     -2,     -1,
       9,     11,     -2,    -12,
      -6,      5,      7,      1,
      -2,     -4,      0,      5,
       9,      5,     -7,    -14,
      -5,      1,      2,      0,
       0,      4,      4,      2,
       2,      0,     -4,     -4,
      -3,     -2,      1,      3,
       2,      1,      3,      1,
      -3,      0,      7,      9,
       6,      0,     -2,     -3,
      -9,     -7,      2,      2,
      -2,      2,      3,      0,
      -4,     -7,     -3,      0,
       4,      4,     -3,     -6,
       2,      6,      1,     -5,
      -9,     -3,      1,      5,
       7,      5,      0,      2,
       3,      2,      2,      1,
       0,      0,      1,      4,
       3,     -1,     -4,      0,
       1,      0,     -2,     -4,
      -1,      0,      0,      0,
       0,      0,      0,      1,
       0,     -1,     -1,     -2,
      -2,      0,      0,     -1,
       0,      1,      0,      0,
       2,      1,      0,     -2,
      -4,     -3,     -1,      0,
       0,     -1,      0,      2,
       2,      0,     -1,     -1,
       0,      0,      1,      1,
       0,     -1,      0,      1,
       1,      0,      0,      0,
       0,      0,      0,      0,
       0,      0,      0,      0,
       0,      0,      0,      0,
       0,
};
const int16_t smp_noise_sample[] = {
   32766,  32765,  24330,   1373,
   -9344,  -7719,  -5598,  -8951,
  -11456,  -7104,  -4061, -10668,
  -21356, -25490, -20047, -10054,
   -1891,   4192,   9312,   8319,
    1218,  -1446,   3387,   7169,
    4264,  -1265,   -378,   7562,
   13153,  12987,  12860,  14019,
   12767,   6794,  -5241, -19721,
  -30502, -32765, -32767, -24190,
  -12653,  -6364,  -7160, -11479,
  -13822, -13025, -12313, -11346,
   -7483,  -2388,   2068,   6430,
   10860,  14898,  17367,  16201,
   12690,   9212,   4540,  -1525,
   -6334,  -8171,  -5858,   -999,
    3526,   9926,  20155,  28087,
   27062,  18072,   6109,  -2863,
   -7658, -10470,  -8640,    106,
   12289,  24654,  32766,  32762,
   32766,  32764,  28744,  15942,
    7972,   1896,  -4331,  -7979,
   -5940,    313,   4603,   1317,
   -8421, -19530, -27672, -28956,
  -23344, -14565,  -5077,   3643,
   10149,  13637,  11086,    626,
  -11509, -17743, -17493, -14750,
  -14634, -18890, -22614, -21383,
  -14967,  -4197,   7978,  17426,
   21819,  20065,  13015,   4788,
   -2721,  -9077, -10907,  -7255,
   -1839,   3051,   6227,   6805,
    5667,   4397,   4221,   7403,
   13901,  19367,  20171,  15190,
    7451,   1791,  -1389,  -2818,
    -980,   2074,    404,  -8020,
  -20781, -31955, -32766, -30561,
  -22272, -12148,  -2051,   6390,
   12614,  15507,  15538,  14978,
   13595,  10934,   8215,   3959,
   -3135,  -9572, -10336,  -3004,
    9323,  18857,  21265,  19874,
   17417,  13374,   8008,   2317,
   -2212,  -5102,  -7877, -10295,
  -10035,  -8510,  -8372,  -8849,
   -7938,  -4342,    821,   2659,
     277,  -3296,  -7160, -10361,
  -11458, -10848,  -9953, -10873,
  -16263, -23536, -28234, -31245,
  -32766, -32764, -32765, -32765,
  -29598, -19156,  -9176,    790,
    9284,  14925,  17356,  16183,
   12896,   9514,   6439,   5096,
    6128,   6837,   5122,   2057,
    -999,  -2415,  -1470,   1145,
    5597,  10390,  12678,  12219,
    9908,   6082,   2097,  -1442,
   -4754,  -6559,  -7511,  -9608,
  -11449, -11824, -11763, -11293,
  -10502,  -9174,  -6356,  -2977,
    -745,    521,   1651,   2477,
    3298,   3595,   2855,   1399,
   -2129,  -8245, -13841, -16250,
  -16434, -16021, -15604, -14944,
  -12101,  -6436,   1029,  10160,
   20102,  29166,  32764,  32763,
   32764,  29327,  21584,  13086,
    6994,   3562,   1564,    741,
     258,    762,   2936,   4860,
    5024,   4744,   4853,   5011,
    4902,   3972,   3246,   3560,
    3456,   1828,  -1411,  -6725,
  -13286, -18711, -21100, -20057,
  -16601, -13816, -13305, -14040,
  -15092, -15765, -15009, -12200,
   -7767,  -3099,    -63,   1234,
    1847,   2730,   3795,   5041,
    5034,   4447,   2172,  -2108,
   -6558,  -7666,  -6473,  -2394,
    3965,   9190,  14814,  16814,
   15146,  11148,   6922,   3335,
    1608,   1787,   2509,   2767,
    2303,   2020,   2520,   3494,
    2510,   -387,  -3745,  -6331,
   -8257,  -9835, -10422,  -8657,
   -4483,    -57,   2901,   3731,
    1897,  -1048,  -2785,  -1191,
    3945,   9496,  13856,  17832,
   21405,  22802,  21890,  19301,
   16702,  15899,  14631,  10281,
    4328,  -1371,  -6121, -10450,
  -13917, -15140, -13950, -11933,
  -11060, -11249, -12040, -12815,
  -12238,  -9106,  -3145,   4482,
   11686,  16721,  19932,  22150,
   22981,  22487,  20657,  17755,
   14381,  10038,   5265,   1328,
   -2336,  -6390, -10280, -13067,
  -13811, -12914, -12693, -12414,
   -9901,  -5653,   -259,   5294,
    9728,  13199,  15773,  16830,
   16203,  14737,  12184,   8642,
    5391,   3161,   1599,   -277,
   -2045,  -2462,  -1052,    996,
    2387,   4099,   6637,   9420,
   11448,  11197,   9831,   8777,
    7466,   5474,   2926,    203,
   -1915,  -3311,  -4959,  -6663,
   -9170, -13836, -18845, -23108,
  -25620, -25334, -23687, -21792,
  -18356, -13429,  -8211,  -2606,
    3491,   9056,  13782,  17225,
   19479,  20315,  19114,  15645,
   10563,   5895,   2836,   1515,
    1044,    591,    471,   -387,
   -2993,  -6314,  -8526,  -8296,
   -4845,   1178,   7529,  12786,
   15290,  14871,  13207,  10567,
    7554,   4871,   2041,    -52,
   -1531,  -4582,  -9467, -13666,
  -15478, -14118, -10445,  -7779,
   -7266,  -8306, -10367, -12042,
  -11840,  -8915,  -3953,   1462,
    5853,   8280,   8789,   7361,
    5284,   4248,   4682,   5760,
    5695,   3467,     47,  -3018,
   -5750,  -7726,  -8071,  -7408,
   -5296,  -2474,   -208,   2354,
    5383,   9180,  14868,  21847,
   27892,  31631,  31658,  27757,
   22481,  16782,  10776,   5351,
     645,  -3353,  -6525,  -8938,
  -10887, -12500, -13705, -14854,
  -15578, -15724, -15718, -15589,
  -14891, -12140,  -7445,  -2478,
    1292,   3607,   4385,   3209,
     926,  -2125,  -4980,  -6230,
   -6907,  -7082,  -6017,  -4769,
   -4296,  -4098,  -3179,   -452,
    4192,   8224,  11489,  14820,
   17022,  17800,  17316,  16025,
   14837,  13657,  11483,   7657,
    2568,  -3649, -10030, -15215,
  -18411, -19662, -20353, -20546,
  -19788, -18016, -15436, -12537,
   -9525,  -6971,  -5020,  -4107,
   -4519,  -4514,  -3654,  -2709,
   -1474,     42,   1096,   1041,
     -93,  -1979,  -2488,   -879,
    1616,   4902,   7789,   9147,
    8882,   6770,   3776,   1897,
    1501,   1673,   2202,   2802,
    2935,   2807,   2265,   2260,
    2936,   3518,   3325,   1815,
    -274,  -2049,  -3607,  -5223,
   -6378,  -6368,  -6211,  -6358,
   -7115,  -8810, -10290, -10377,
   -9177,  -7497,  -5607,  -4565,
   -5123,  -6026,  -7158,  -8227,
   -8953,  -9620,  -9617,  -9138,
   -9238, -10144, -10761, -10462,
   -9172,  -6835,  -4532,  -2140,
     -38,    735,    709,    609,
    1667,   3720,   6291,   9094,
   11379,  11884,   9634,   6233,
    3242,   1730,   1785,   2052,
    2426,   3022,   3308,   2494,
    1698,   2256,   3019,   3131,
    1853,  -1260,  -5266,  -9657,
  -14004, -16970, -17081, -14890,
  -12072, -10110, -10144, -11179,
  -12437, -13147, -11747,  -8117,
   -2774,   2880,   7616,  11202,
   13803,  15550,  16318,  16036,
   14148,  10242,   4782,  -1768,
   -7242, -10677, -11859, -10848,
   -8342,  -5428,  -3528,  -2557,
   -2528,  -2582,  -1064,   1664,
    4465,   6060,   5102,   1205,
   -3390,  -6164,  -6738,  -5333,
   -3557,  -2828,  -3031,  -4566,
   -6750,  -8172,  -7409,  -3669,
    1571,   6228,   8409,   7697,
    4130,  -1043,  -5693,  -8296,
   -8082,  -6907,  -6425,  -7233,
   -9394, -11655, -12880, -11544,
   -7472,  -1722,   3326,   5021,
    3645,    731,  -2204,  -4120,
   -4446,  -3959,  -3787,  -4007,
   -5473,  -7036,  -6251,  -3338,
    1465,   7351,  12794,  16249,
   16779,  14816,  11566,   8582,
    6101,   4172,   2383,   -224,
   -3547,  -7935, -12036, -14116,
  -14080, -12550, -10355,  -7277,
   -3697,   -210,   3111,   7013,
   12476,  18156,  22241,  23364,
   21008,  16104,  10361,   6048,
    3690,   3970,   5771,   6448,
    6013,   4810,   3115,   1785,
    1332,   1605,   2450,   3207,
    2622,   1314,     -8,  -1060,
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   -7932, -11708,  -7533,   2439,
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   -6721,  -6811,  -5228,   -376,
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   -3611,   3329,   1474,  -2274,
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   -3420,  -3021,  -4326,  -7968,
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   -2658,   -540,   -704,  -2807,
   -4969,  -3184,   -920,    188,
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      -8,  -6759,  -4974,   -389,
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   -4895,   1412,   4412,   4951,
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    -800,  -3830,    908,   5817,
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    -126,   1093,   1006,     29,
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    -834,  -4565,  -4164,   1403,
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   -5416,  -9053,  -4676,    736,
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    -383,   -132,   1003,   6280,
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   -8954, -15193,  -7953, -10067,
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   -5832,  -7792,  -3717,   1226,
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   -8793,  -4578,   5292,   1423,
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   -2609,   1245,   4804,  -1382,
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   -3965,  -1805,  -1966,   -541,
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    -500,   3011,    278,   -275,
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   -8498,   6934,  14735,    176,
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    -904,  -1282,  -5356,  -3312,
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   -3680,    810,  -5195,    -19,
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   -5776,  -5879,  -7169,  -1566,
   -4131,   3362,  14564,  17785,
   15793,   2574,   3367,    350,
  -11504,  -7069,  -6980,   8562,
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   -4736,   -768,  -3841,  -3561,
   -2443,   -143,   6068,   8340,
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   -8895,  -6225,  -5336,   1566,
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   15586,   9140,  -3728,   4358,
   -2800,   5304,   1590,  -6500,
   -2638,  -7123,    420,   4149,
   -1479,  -3109,  -5617, -14876,
   -7318,  -3928,   1536,  -1850,
   -9317,   1158,   6950,  16375,
   12943,   1093,   8401,   8981,
    9354,    422,  -2189,    912,
   -5569,   3453,   2400,   1662,
    2891,  -9398, -13323, -12683,
   -8835,  -1289,   5802,  14354,
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  -10377, -10758,  -9366,   -911,
    6182,   8501,   9541,   9811,
    4324,  -6445, -11132, -15148,
   -2583,  11746,  14182,   6424,
   -2387,  -5469, -12639, -10950,
   -1240,  -2071,   2080,  -3460,
     564,   -802,   2154,  19038,
    7008,   5122,  -2832,  -7142,
   -2479,    -64,   2566,  -9585,
  -15739,  -4538,  -5732,  -4135,
   11039,   8912,   6055,    515,
   -2028,   2814,   2212,   5761,
     545,   2301,   3056,  -7295,
   -4515,  -6020,  -1897,   2232,
   -2133,  -7290,   -793,   7364,
   -4139,  -4063,   6665,  13524,
   10988,   3985,  -1623,  -5126,
   -3996,   -961,    455,  -2585,
    1834,   2687,   -563,  -2947,
   -3179,  -1139,  -2222,  -1706,
     136,   1775,    907,  -1879,
   -3171,  -2163,    884,   1674,
   -1672,  -2064,   -502,   1951,
    2812,    445,  -3076,  -2796,
   -2343,  -1017,   1361,  -1309,
     528,   1173,   -511,   2028,
    1581,   -506,   -543,  -1215,
     -22,   2500,   2999,    283,
   -2829,  -1182,   -286,   1216,
    2662,   4121,   2708,    921,
    3530,   -346,   -112,   1690,
     674,   1144,   -874,    261,
      -3,  -2544,  -3119,  -1880,
    3216,   3972,  -2017,  -1387,
    1013,  -1777,  -1519,    354,
    1029,  -1245,  -2398,    425,
     772,  -1756,  -1536,    150,
     563,    326,  -1935,   -217,
    1638,  -1143,    988,   3047,
   -1281,  -1469,  -1657,  -1672,
     745,  -1027,    344,   1296,
    2593,   2833,    921,    417,
    1397,    444,   1422,      8,
   -4104,  -2004,   -693,    465,
    1626,   2007,    -74,   2674,
    1388,  -1058,    284,  -1373,
    -437,   -167,     54,   1303,
    2296,   3111,   -595,  -3957,
     228,    424,    739,   2968,
    2874,    299,  -5039,   -145,
    3721,   -891,  -2674,  -2499,
   -3423,  -3349,  -2069,  -1010,
    1487,    254,  -1686,  -4547,
     347,   3683,  -1191,  -4928,
   -2901,   -589,  -1766,     33,
    2662,   5375,   1840,  -3497,
   -1560,   2430,  -2389,   -771,
     341,   1075,   4092,    552,
    -430,   1235,  -1398,  -2562,
     905,   1599,    396,   1169,
    1080,  -2292,   -615,  -3186,
   -4472,    -74,   1800,   3159,
    5184,   1353,  -4526,  -2753,
     855,  -1738,  -2147,   2957,
    2725,    348,   -281,  -1806,
    2137,     48,  -4115,  -1710,
     545,   3773,   1150,   -204,
   -1355,  -1803,   -594,  -2326,
    -116,   2169,  -1604,  -1222,
      28,  -1385,   -408,   2027,
    1412,   1206,   4418,   1123,
   -2680,  -3402,    -75,   3901,
     -72,   -707,    236,   2827,
    4024,  -2268,  -2226,     44,
     603,   -861,   -799,   1400,
    2213,  -2125,   2615,   5785,
   -5759,  -6920,   -784,   2642,
    3318,   2561,    956,      5,
   -1068,  -4615,   -891,   5357,
   -2016,  -1887,   1064,   1239,
    2662,   -334,   -701,  -1999,
    1859,   1987,   -362,   1443,
     493,  -2694,  -3264,  -1419,
      91,   1829,    679,    395,
     467,  -1030,   -604,  -1581,
   -1805,  -1201,   -455,   -288,
   -1394,   1096,  -1439,  -3130,
     871,   1855,   1835,   -561,
   -4508,  -1264,   2622,   1630,
    -607,  -3012,   -645,   1462,
    2593,   1723,   1277,    414,
    -423,   -392,  -2444,   1367,
    2060,   1823,  -3084,  -5353,
    2296,   4495,    727,  -5294,
   -2939,   3701,   1877,  -3521,
   -2749,   2008,   1674,  -1425,
    3270,   1074,  -1687,   2547,
    2150,   1995,   4574,   2546,
   -3780,  -2975,   -242,    724,
    -113,  -2425,    203,   3314,
   -2127,  -2802,   2696,   4883,
     -74,  -5477,  -2274,   2144,
    3142,   1560,    414,   -463,
    -609,  -4759,  -1701,   3029,
    -213,   1985,   1831,    549,
    -948,  -3574,  -1259,   2260,
    3901,   -614,  -1953,   2957,
    3770,   1421,  -2396,  -4026,
    -354,  -1676,  -3765,   -698,
    1197,    671,   1279,   -153,
   -5170,  -1737,   1111,    819,
      -3,  -5003,  -3788,   3124,
    5769,   -946,  -5103,  -3894,
   -5868,  -3550,   2496,    840,
   -4515,    306,   2060,  -2549,
   -1741,   1907,    262,   -228,
     331,  -1156,  -2985,  -5100,
    1562,    647,  -1071,  -1172,
     300,   1383,   3185,   3437,
    -801,    736,  -2752,  -2943,
     357,   4736,    982,  -3134,
    2550,  -2007,  -7421,   -119,
    1981,  -1255,   -230,   2708,
     796,  -3525,  -2171,   1305,
     312,    732,  -1540,  -1296,
    4568,   3456,   -192,  -1007,
    -345,    218,  -1024,  -6866,
   -3017,   1320,   2673,   -754,
    2806,   4599,   1322,   1690,
    1585,   4806,   -725,  -2795,
   -1383,   1765,    568,    256,
    4796,   7176,    915,   1747,
    2254,  -2407,  -5255,  -6658,
    3259,   5952,   6428,   3742,
     309,    439,    857,  -2500,
     633,   1826,   1093,   1369,
   -4377,  -1833,   -145,  -1328,
    -834,    947,    -37,   2609,
     924,  -4473,  -4082,   1425,
    4580,   2775,    660,   -665,
   -1660,  -4454,  -3212,  -2202,
    -273,   2984,   7121,  10313,
    6360,   3978,   5634,   7735,
    5609,   3038,   2345, -17085,
  -32764, -32767, -14582, -13631,
   32764,   8926, -27638, -12866,
  -17632,  -2123, -30885,  -9315,
   32766,    718,  10626,  14210,
    2947,  -4916, -24771, -19510,
   -4120,  27628,  32763,  25964,
    8725,  21914,  17186,   3384,
   -5335,  -1573,   5215, -15431,
  -32765, -25562, -12416,   -146,
   18315,   6212,  21765,  20890,
   -1565, -13591,  -6689,  11622,
    7278,  -4962,   9967,  16248,
    2551,  11210,  -1834, -10336,
   14394,  18058,   8099,   4695,
   -8332,   5260, -11108, -15636,
   -5044,  -8323,  19561,  14008,
   -8043, -18154, -18654,  -6973,
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    9304,  11997,   2852,  14050,
   15795,  23076,   7592,   4133,
  -11358,   5871,   9226, -32757,
  -32767,   3758,   9979, -10070,
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  -10234,   6122,  11260,  -7742,
  -13706,   2734,  13856,  17528,
   15417,    860,  -4308,  20954,
   23072, -13103,  -9207,   5988,
  -11783, -23013,  -1399,   6984,
   -1530,   6074,   2793,   9209,
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  -13231, -17973, -17981, -15991,
   -7180,   7706,    183,  12801,
   15586, -11179, -12519,  -3107,
    9694,   6706,  -8519,  11474,
    9209,    414,   1358, -12695,
     932, -13267, -15470,   4380,
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    2540, -14525, -32767, -26498,
  -11002, -28729, -18698,  -4325,
   -3764,   1846,  14166,  27718,
   18508,   5991,   5792,  -6980,
   -7209,  -8586,  -6398,  14229,
   16577,   8732,   7470,   6815,
   11470,   4376,   1424,    571,
    5685,  -9062, -14328,  -2644,
    3475,   1306, -18485,  -1450,
    3691,  -5103, -12965,  -9223,
    4781,  -3296,  -4565,   3582,
    4741,  -1933,  -4107,   2953,
   -8908,  -5894,  17151,  12245,
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    5989,   2425,   3606,  -3113,
   -4825,   6325,   6175,  14459,
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  -19508,  -2022,   5288,  -9440,
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   -7100,  -6528,  -3791,  -7420,
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    3682,  -5461, -20700, -27432,
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      54,   2277,   4805,  13158,
    4200, -11715, -13792, -14285,
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    5252,   5891, -10635,  -3776,
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   -9672,   1363,  10385,   3626,
   -2473,   5891,  -1061,  -1520,
    8077,   9175,   9636,   2541,
   -3407,  -2382,  -7702,  -7099,
   -2821,    883,   3594,  -1930,
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   -1913,   9378,   5043,  -7111,
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    5881,   1031,  -1998,  -3246,
    -925,   2124,   4746,   4601,
   -2973, -10933,  -5001,   4113,
   -2006,  -9641,  -7088,   3934,
    8652,  -2061,  -1489,     -5,
     361,  -1603,   7110,   6552,
   -4017,  -6087,  -7360,  -1019,
    5444,   6595,  -1903,   3809,
    9457,   8755,   5381,   -506,
   -4249,  -3982,  -7165,  -6829,
    2397,   1089,   -487,  -2746,
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    -575,  -2340,   5142,   4886,
    5848,   7998,     -8,   2180,
    8236,  13694,   3769,  -7275,
   -2747,   2324,  -2383,  -4977,
   -1472,   4987,  -3652,  -7814,
    8654,   2687,  -1923,  -2333,
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    1863,  -1857,    545,  -4042,
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    7608,   7385,   -367,  -9745,
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   -5251,  -1938,   5105,   1655,
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    6474,   7818,   4093,  -1357,
   -9645, -11714,  -7396,  -1279,
   -2787,  -5583,   3120,   5575,
    2009,  -2503,  -2413,  -2681,
   -7117,   -674,   5661,    120,
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    6443,   9644,   -211,  -6776,
   -2369,   1197,   3913,   3765,
   -3489,   3965,   2856,  -1463,
    -793,    129,   3194,  -4944,
   -7227,   1295,   7524,   1441,
   -6787,  -6873,   1638,   4010,
   -1385,   -420,  -5174,  -7264,
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   -7398,  -1277,  -1458,  -5770,
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    4292,  12492,   6509,    767,
   -3208,  -9513,  -7666,   -609,
   -1786,  -8217,  -6462,   1183,
    5308,   -793,   3930,  10820,
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   -8340,  -4833,   2808,    878,
   -1565,   6853,   5959,   7179,
   13213,   4224,  -1842,  -1647,
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   -1269,   1838,  -6538,  -8678,
    1069,   5333,   6230,   7038,
   10992,   9132,   1346,   2373,
    1543,  -1109,   2010,   5423,
    6708,   3533,   2404,    638,
    2501,   8680,   3945,  -3600,
   -5616,  -3052,   1484,   2403,
     367,   -877,   2493,   2497,
     682,   3771,   1978,  -1204,
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    2505,   3722,    -69,  -1996,
    -296,     70,  -2980,  -2746,
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   -2130,   2133,   1892,   3246,
    2065,  -2378,    521,   2843,
    -576,   1327,   5824,   6916,
    5884,   6632,   5495,   3121,
    2432,   9948,  13577,   4461,
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   25076,  14154, -21223,  -7798,
   23319,   6022, -10084,   5123,
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    3481,   5126,   7975,  10079,
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   -1019,  10618,   4995,   7171,
   15642,  13945,  10200,   6909,
   17408,  16128,  21124,  31716,
   19010,   -358, -13649,   3674,
   12018,  -7994,  -7444,   -873,
   -2911,   6744,  -7504, -17523,
   -4111,   3348,   7982,   6403,
    -684, -17761, -27178, -12070,
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   26187,  28876,  18554,   -457,
   -6278,   6720,   6428,   -290,
   -2645,    196,  -1528,   2236,
    9021,   7372,  11901,   9546,
   -6968, -26251, -32767, -32757,
  -32767, -27432, -19054,   9576,
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   -1116, -15980,  -3267,   3332,
    9729,   7414,   -400,  -3923,
  -15443,  -7797,   4505,   8962,
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   -3090,   4736,   -798,     -9,
     183,  -1026,  -1926,    444,
    4988,    327,  -4936,   2428,
   -2664,   2513,    -66,   4804,
   -5808,  -7104,   6647,  -6863,
    5771,  -5683,   6203,  -8153,
    4447,   1054,  -2541,   7761,
   -6006,   7514,    806,  -3402,
   -5047,   2851,  -2668,   1602,
   -4324,   1142,  -1733,   1363,
   -1295,   1336,   1084,   1870,
    -426,  -3807,   5905,  -3266,
    4638,  -9096,   6346,   1468,
    1051,  -3935,  -1722,   7081,
    -782,  -3705,  -4122,   2249,
   -7539,   5690,  -5145,   4425,
    9948,  -3476,   -199,   2017,
   -1259,   6441, -11936,   1805,
     691,  -3648,   5275,  -1214,
     560,  -6140,   6770, -14883,
   11008, -12242,   5408,  -2055,
   -3434,   7648,  -5538,   6563,
   -8301,   7406, -10759,   5933,
   -3242,   -890,  -4023,   -107,
   -2605,  -1086,   2489,  -3370,
    9304,   4622,  -6413,  -4997,
    7333,   -301,   4498,  -1795,
    3105,  -1283,   -136,   5321,
     747,  -3707,    330,  -1491,
   -2450,    100, -10574,   7601,
    5868,  -4173,  -6840,    -26,
    9018,   -190,  -7183,    356,
    5032,   5794,  -8182,  -2543,
    7019,    655,   3714,  -3123,
    4377, -11027,   8996,  -3522,
    3725,   2078,  -1521,  -6748,
    3034,  -7723,   2119,  -1638,
   -1431,   8531,  -3609,   7218,
    4492,  -6524,  -4714,   2168,
   -6443,   7004,   -771,   1876,
    3305,  -1135,   3463,   1830,
   -5598,   1251,  -1309,  -7810,
    9552,   4060,  -3542,   -133,
   -1913,     79,   2180,  -9152,
     820,   4113,  -2529,   6289,
    3923,  -2631,     73,    886,
   -8089,   4552,   2485,  -3064,
    8285,  -2973,   3560,   -190,
    2697, -14692,   2294,    323,
   -3955,   4625,  -7076,  10788,
    5793,  -4750, -13218,   8261,
  -15816,   6230,  -4219,  -2245,
    5794,  -6435,   5276,  -1525,
   -4647,  -7763,   3720,  -2701,
     804,  -3485,   3833,  -8664,
    8530, -10012,   5478,  -1735,
    -102,   2056,  -6988,  10217,
    1526,  -3797, -16894,  10257,
  -17966,   7689,  -2915,  -4313,
   18601,  -2126, -12781,    149,
   -5483,  -6366,   3869, -11211,
   11288,  12687,  -3827,  -5777,
    6979, -17199,   4796,   1757,
   -3317,   8556,  -5235,   8801,
    3370,  -1941,    317,  -4224,
   -7567,   1518,  -3549,   -534,
   -3079,  -1658,   4534,  -2474,
    3010,   5084,  -7410,   3806,
   -4280,  -6822,   6807,  -5862,
    5329,   7411,   2769,  -6315,
    5813, -14457,  -7190,  12132,
  -11995,  16860,  17448, -17267,
  -11874,   5737, -12626,   3957,
   -5719,  -4307,  29957,    386,
  -11279,   5631, -14185,  -8169,
    5850, -10512,  11852,  15147,
   -3942,   5327,   1879, -21165,
    5139,   1529,   -982,   2968,
   -7903,  13105,   5673,  -7057,
   -2373,   -613, -12156,   5263,
    9581,  -2012, -11606,   -367,
    1022,  -3409,   8446,   4543,
   -2337,   6412,  -4455,  -8568,
    6954, -16735,  10157,   6922,
     151,   3050,   -248,  -2036,
   -3263,   2788,  -5067,   3769,
   -3780,   2330,  -1157,  -1377,
   -7415,   1707,  11989,   1492,
  -11700,    830,    688,    408,
   -1209,    105,    659,  -9420,
   10421,  -1379,   4119,  -1808,
    5433, -10203,   1515,   6807,
     370,   1546,  -3442,    822,
  -11484,   6424, -12993,   6189,
   11188,  -4457,  -1705,   1323,
  -10743,   1796,  -4765,  -4212,
    9162,    796,   8568,  10861,
   -4549, -13620,  11182, -16035,
    9046,    587,   1642,   -836,
   -4860,   4920, -13169,  16631,
    9538, -14489, -10224,   5617,
  -11576,   5691,    -36,   -785,
   10063,   3782, -11841,   8131,
   -8863,  -5981,  11741,  -7505,
   10189,  -6986,   9116,   8189,
     897, -27581,   7150,   4624,
   -4502,   6976,  -6735,   4377,
   -3061,   -837,  -7828,   6229,
    1224,    129,  -2832,   3236,
  -13137,   5812,    790,   3092,
    3233,   3900,  -5410, -15263,
   18107,  -3500,   7157,   6587,
    1574, -20718,   6937,  -1038,
   -3516,  10429,   -720,  -9542,
   -9701,   8493,  -8702,   8032,
   11549,  -7929,  -8282,   5697,
  -12512,   8847,  -1449,   6372,
     437,   3213,   -539,  -5708,
    8927,  -9810,  11641,  -9012,
    8287,  -3474,   1895,  -8010,
   -1425,    172,  -7397,  13409,
    1991,  -8594,  -5432,    803,
   -9947,   8886,   8038,    631,
   -7067,  10027, -17686,   7503,
    1029,  -2258,  12073,   2547,
     124,  -7464,   8158, -16350,
   11703,  -7261,   2331,   8955,
   -1498, -11837,    436,   1001,
   -4404,   4943,  -1019,  -1682,
   -8196,   8248,   4020,   2520,
   -8330,   9771, -14721,   6616,
    6797,   4168,  -2677,  -1282,
    2984, -11903,  13250,  -5914,
    4539,  -9709,   5605,  -4157,
    1196,    414,  -1844,   6829,
     996,  -6361,    291,  -1743,
   -5053,   4958, -10065,  11357,
    -239,   5296,  -4002,   6549,
   -7759,   5081,  -3534,  -4197,
   11020,  -4367,   7203,  -1483,
    1463, -12199,   8732, -14575,
    5728,   8290,  -3778,   8138,
    2605, -17236,  -4451,   5662,
   -6555,  10886,   9428,  -2558,
  -15041,  11709,  -2743,   7039,
   -6423,   6129,  -5125,  -3409,
   12231,  -5412,   8084,   1016,
   -1090,  -8606,   6032, -10019,
    5394,   -573,   -411,   -818,
   -4224,  14954,   7995, -18357,
   -6196,  10152,  -3780,   7658,
   11487,  -3340, -18317,  10566,
   -9883,   2691,  19433,   2931,
   -6631,    322,   2508,  -2977,
    3399,  -4473,   4358, -13046,
    6378,  14731,  -5363,   -154,
    -362,  -7155,  -1087,   5739,
     588,   5488,  14101, -12513,
   -7253,   6141,  -8150,   7150,
   15061,    727,  -5375,   2885,
   -4576,  -5911,  18469,  12137,
  -13433,   -549,    167,  -7805,
    4009,  18125,  -7132,      0,
    1224, -15712,  -5817,  28268,
   11401, -18961,   1859,    -21,
    4390,    -47,   4813,  -1187,
   11657,  -4773,   8154,  -1566,
     670,    207,   5302,   5964,
   -1476,  12776, -11152,   6077,
   -5463,   6548,  -5046,   6945,
   -3765,   6837,  -1787,    882,
    2967,  -2438,   6383,  -3800,
   11405,  -6203,  11120,  -2973,
    2719,   1422,  -2349,   3033,
    -210,    130,   2204,   -173,
    2303,   -502,   1165,    822,
    -314,   2602,  -1192,   1674,
     515,  -2895,   1934,  -2927,
    2213,  -2813,     15,   3450,
     259,   3649,  -7688,  10739,
    6774,   2571, -30173,  13249,
   -8620,   2863,    927,  -8391,
   13787,  -9309,   8384, -10026,
    8375,  -7916,   5738,  -6480,
    4550,  -7221,   3316,  -2219,
    -227,   3986,    589,  -3662,
   -5595,   6163, -15504,  15608,
    -922,   6242, -16414,   8057,
    9198,   3383, -11779,  -1618,
    4619,  -7603,   5367,  -8443,
    6096,  -4952,   4264,  -4402,
    3260,   -902,   2054, -10718,
    2320,  -1658,    284,   4577,
    4860,  -5182, -12795,  10669,
  -11505,  11365,  10414,   2019,
  -20023,   7692,   3114,  -3230,
    9680,  -1015,  -3499, -10179,
   10662,  -4487,   3093,   7551,
   -6554, -11138,   1158,  -4688,
   -1440,  11773,   4787,  -8849,
    2001,    183,   -587,   4415,
    -139,   3895,  -2297,   6643,
  -14745,   7076,   8045,   -977,
    1430,  -1707,   -556,  -6560,
    5285,  -7684,   4911,   5412,
   -6312,  -8278,    896,   9065,
    2345, -11796,   4150,   4736,
    3841,  -5037,  -3967,   7281,
   -3215,   7065,  -3527,   6349,
   -1467,   2323, -10970,   -453,
    9569,   -683,   1693,   1487,
   -3816,  -5716,   3004, -12214,
    7233,   1999,    583,  11258,
    1443, -18705,   3929,   2535,
   -1460,   5164,   2661,  -1483,
   -5137,   9022,   6700,  -1788,
  -21121,   9323,  -2822,   -781,
   18661,   3220, -14486,  -1035,
    5024,  -3086,   5100,    551,
   -1291, -10206,   6054,  -5406,
    1816,  13583,  -2774,    496,
    2330,  -8729,   2717,  -3981,
   -6991,  11254,   8503,  -3252,
   -2089,   3317,  -9594,   6607,
   -2977,   -306,  19036,   4563,
   -8805,    156,  -3795,  -9032,
    6074,  -2561,   1327,    174,
   -1663,  11889,  -3943,  -2461,
    2254,  -4942,   3418,  -2271,
    -135,   5728,   6370,  -2752,
    1436,   1017,  -2785,   3384,
   -2539,   3314,   -729,  -1713,
    7179,   -578,  -2136,  -3096,
    1350,   1770,   -790,   8027,
   -5027,  -1182,   -495,  -1966,
    1615,    568,   2960,   -215,
   -1684,   3965,  -3292,   5583,
   16904,  -8297,   7635,   -516,
  -19258,   4889,   2937,  -4257,
    7020,   -692,    726,    555,
    1872,   5088,  -3826,   3459,
   -3477,  -3849,    931,   -573,
     -17,   6372,   1013,   1552,
    5884,  -6786,    305,   1138,
   -3301,   4040,   2706,    -15,
   -2118,   2002,  -8194,  -2136,
    9308,  -6898,  13722,   5412,
   -7238,   8565, -10333,  -7696,
    3528,  -6670,   1379,   5874,
   -2759,  14999,   2251,  -5992,
    7242, -10572,    609,    354,
   -5662,   7232,  -1793,   2204,
    2352,  -1680,   6897,  -1840,
    -856,    462,  -2081,  -1666,
    2293,      6,    -37,   4591,
   -3521,   4656,  -3651,  -1017,
     591,  -4694,   2101,  -1409,
    2107,   -395,   2363,    436,
   -6232,   8837,   2633,    876,
   15921,  -6982,  -4893,   1515,
  -13771,    889,    646,  -7559,
   11713,   -814,   4077,  16771,
  -14852,  -1635,   -586, -11438,
    4638,  -1787,   1403,   3116,
     192,   5010,  -1720,   4989,
    4648,  -4950,   2519,  -3477,
   -4454,   2111,  -3478,   -238,
    1711,  -1417,   1358,   1025,
   -3116,   -273,   1260,   -555,
     722,  -1080,   1925,  -2799,
    1657,  10767,  -3903,   4578,
    1800, -11542,   1127,  -4723,
   -3358,   3124,  -7462,   7347,
    6025,  -2368,  16326,  -5503,
   -7154,   4317, -13929,   1163,
    1319,  -5346,   7319,  -3423,
    5672,   8662,  -6776,   1579,
   -1784,  -6529,    576,   2230,
    -826,   2336,   1970,  -4159,
    1136,  -1094,  -3002,   2302,
   -3642,   1114,    475,  -1395,
   12196,   -811,  -6058,   5236,
  -12402,   -376,    565,  -7467,
    8028,  -6104,   7146,   7974,
   -4583,  10607,  -3351, -13048,
    3087,  -8928,  -1674,   3432,
   -4536,   5438,  -1082,    938,
    3568,  -1776,   1439,    505,
   -2153,   2876,  -6822,   3115,
   -4908,  -1923,   3810,  -6460,
    9316,   -719,   1937,   8136,
   -7855,  -6583,   1556, -10699,
    2595,  -3478,  -3509,  11835,
   -1335,   4780,   8480, -10265,
   -1060,    -22,  -9021,   6766,
   -6237,   3830,  -1886,   -332,
    2016,  -1333,   -872,  -2660,
    2680,  -3821,   2704,    566,
   -1457,  -4893,   2060,  -3009,
    2941,  -4577,    907,  -2463,
    -599,   3050,   -295,   2982,
   -1427,   1776,  -6714,   4393,
   -9466,   4510,  -5077,    526,
    4163,  -2303,   3515,   1428,
   -6198,  -4057,   2545,  -6058,
    4244,  -3433,   2763,  -8511,
    4655,  -2474,   2739,   -856,
    2840,  -5611,  -2356,   1882,
   -9686,   9945,  -8468,   7037,
   -1036,   1402,  -2606,   1965,
   -2965,    610,  -6249,  -1185,
   -1997,  -4898,   4782,  -5809,
    6708,  -3304,   3105,  -3444,
    3179, -10474,   4531,    591,
     451,   3640,    316,   -149,
      75,  -2167,  -9311,   6365,
  -10610,   7326,  -5700,   2446,
    -576,    776,  -5311,  -1059,
     153,  -4899,   9351,   3338,
   -3968,   -568,   -746, -15592,
   10697, -10500,   7730,  -4197,
     930,   7781,  -1925,   3341,
    1334,  -7037, -10600,   9351,
   -5848,   3960,  -8742,   4547,
   -4177,    258,   5618,   -873,
   -3210,    887,   -107,   2173,
   -3403,  -6511,   6538,  -8678,
    9185,  -3193,   3962,   1100,
    1067,  -1478,   2192,  -7918,
   -3758,   4680,  -7352,   8501,
     377,  -1182,    694,    355,
  -12853,   5919,  -5435,    768,
    3652,  -2289,   5545,   1677,
      50,   4102,  -2880,  -4492,
    4151, -12754,   8204, -10158,
    4284,   2375,  -2353,  12983,
    2492,  -5580,   3915,  -9229,
  -14109,   8982, -12611,   8959,
    1766,    452,   5601,   -695,
     215,   4438,  -9122,   2991,
   -7074, -11850,  15232,  -4121,
    8043,   9726,  -2013,  -6731,
    5117, -12946,   2377,   1690,
   -4889,  10059,    522,  -4343,
   -4370,   3132,  -1253,    132,
   -2653,   1871,  -5465,   2150,
    2322,   1859,   -292,   3275,
    -270,   2557,   -447,  -2697,
    4306,  -2083,   3709, -11585,
    6198,  -4369,   -897,  10486,
   -3990,   4618,   -105,  -1736,
    1631,  -4859,  -1747,    372,
   -4954,   2769,   2607,    218,
    2801,    646,  -1031,   3802,
   -4109,    553,   1543,  -4699,
    8085,   1691,    665,  11647,
   -5766,   -179,   1528, -11134,
    1828,   -685,  -5719,  13554,
     120,   1488,  13974, -15099,
   -7183,   2223,  -6564,   1464,
   16079,  -6363,  17890,   4965,
  -17719,   7242,  -9285,  -5030,
    8019,  -5408,   7526,  16913,
   -8623,  17660,  -6632, -13627,
    1617,   1433,  -2575,    366,
   -3554,   4757,  -2397,   5048,
   18886, -13143,  18035, -10750,
   -6192,   2553,  -4465,   1510,
    3286,  -2908,  16694,  13092,
  -11076,  13543, -12644,  -3971,
     837,  -6064,   1552,    223,
   -2444,   2528,  -2570,    944,
     392,   -162,   1630,   -111,
    1196,    329,   2308,   -668,
    5062,   -910,   2540,   -758,
    3419,  -1509,   4634,    722,
   -2297,    727,  -1590,   2361,
   -1942,   1782,  -1407,   1062,
   -1726,    805,   -741,    -48,
     659,   -182,   1001,    370,
    1002,    214,   -263,   1766,
   -1031,   3406,  -4910,   4131,
   -3690,   2731,  -2273,   -114,
   -2614,  -5265,   4636,  -7093,
    5893, -15165,  10696,    115,
    1613, -15193,   3586,  -3679,
   -5936,  11956,  -5183,   4717,
   -5231,   4868,  -5719,   5073,
   -6484,   5575,  -6315,   4793,
   -4358,   1574,   -552,  -1412,
     980,  -4511,   3746,  -6904,
    5944,  -7531,   6586,  -6661,
    3884,  -6026,   3015,  -4273,
     184,    608,  -2757,   1879,
   -1543,   -899,  -7190,   6894,
   -7846,   7733,  -5973,   5465,
   -9073,   3061,  -1394,  -1433,
    2229,  -3494,   4659,  -4363,
    3851,  -4634,   2820, -13251,
    7735,   6184,    388, -11987,
    -107,   7584,   2274,  -7320,
   -1987,   -568, -13092,  12451,
    3801,   -656,  -3371,   3822,
  -10546,   4545,   2629,   1167,
   -5397,  -3058,   6964,  -5089,
    7962,   3822,  -3917,  -8600,
    4563,  -7009,   2212,   2721,
   -1289,   3545,   1803, -11876,
   -6440,  12394,   5205,  -4849,
   -2104,    768, -11991,   8549,
    7735,   1061,  -7511,   3397,
   -3805,  -1061,   5177,  -1622,
    2244,  -2401,    785,  -8375,
    5464,   -462,    752,   2098,
    1555,  -7697,   1558,    566,
   -2441,   5218,   3621,  -7041,
  -10741,  10884,   5332,   -497,
  -13062,   6264,    933,    569,
    9208,   4847, -13181,  -2371,
    2779,  -8363,  11379,   3130,
   -2190,  -5977,   3716,  -8181,
    2747,   7325,    217,  -7742,
    -373,   5483,    872,  -1574,
    -716,   -172,  -8073,   7638,
    -876,   2905,  -2660,   2379,
    6651,   5068, -20040,  -7756,
   18897,  -1309,   2452,   7038,
   -6932, -17122,   9854,   6172,
   -1724,   3213,   -434,  -5892,
   -1116,   1644,  -2080,   3456,
    2001,    197,   2893,   -600,
    1013,    910,  -5270,   3624,
    -102,   -102,   6103,   -463,
     658,   1803,  -3237,   -454,
     -51,  -8006,   6533,  15993,
   -7232,  -2836,    501,   -499,
    2101,  -7120,    243,   2096,
   -3399,   7064,  10697,  -9468,
   -7935,   4736,  -5048,   1729,
   23525,  -2140, -12769,   1142,
    1165,   -640,   4263,   3742,
   -4298,  -2390,   1281,  -1673,
     853,  16986,  -5973,  -8164,
    -577,   -197,  -3366,  10907,
    5860,  -7820,   6126,  -5618,
   -2004,   2563,   5692,  -2103,
   -2919,   -574,  22745,   3111,
  -18154,   3008,  -1126,  -1248,
    1946,    -91,   -544,    280,
   -1519,   1052,  -1235,    -98,
   -1451,   4193,  -2833,   5548,
     760,    377,   5486,  -4974,
    5395,  -2736,   1167,    287,
   -1666,   2301,  -3869,   2646,
    -819,   -323,   1537,  -1791,
    2477,  -2023,   2379,  -2202,
    1474,    -61,  -1111,   2067,
   -2524,   1744,   -575,  -1362,
    1100,  -1930,    899,    756,
     152,   1813,  -2864,   4305,
   -2407,   2323,  -2223,   2608,
   -3546,   2924,  -7551,  -5658,
    9922,  -3071,   3014,  -4558,
    2823,  -6524,   3902,  -3628,
    2144, -10282,   -821,  19962,
    2809, -11893,   3431,  -8214,
  -11302,  13134,  -6740,   7071,
   -7482,   5106,  -6062,   3686,
   -4268,   1660,   -752,  -2311,
    2865,  -4549,   3363,  -5420,
    5533,  -8547,   7281,  -9209,
    6658,  -6250,   3116,  -3563,
     272,  -1277,  -2149,   1629,
   -8243,   7550,  -6787,   6865,
   -4593,   4456, -12369,   7486,
   -7000,   4235,  -3866,  -1914,
    6636,  -1578,   1280,  -3234,
    -112, -17950,  13930, -10707,
    6710,   -273,    396,   6782,
    2939, -14760,  -1766,   5117,
   -5396,   7361,  -2243,   1686,
   -5094,   4404,  -9063,   5150,
   -4911,   2503,    112,  -1013,
    1854,  -1187,   2041,    114,
    -612,  -8650,   6881,  -1539,
    2217,   2882,   -410,   4076,
    1011,  -8200,   2644,  -7132,
   -6860,   9984,  -4233,   6366,
    9748,  -6215,    207,    244,
   -1944,   1281,  -2746,    179,
    1310,  -2412,   9259,   4045,
   -2936,   5647,  -6415,  -4735,
    2408,  -4015,   1666,   8490,
   -3680,   8606,   2059, -14628,
   -1072,   2594,  -1298,   4795,
    8327,  -5066,  -3024,   1711,
   -2634,   2152,   1684,     75,
   -3489,  -4429,  13757,    862,
    1208,  10146, -11689,  -8079,
    4990,  -7088,   2987,  12860,
   -4330,   7020,    666, -11338,
    -179,    658,  -3911,   7666,
    6892,  -5747,   3177,  -1899,
   -4533,   3518, -12390,   1522,
   19567,   -276,  -6095,    -57,
    -736,  -6502,  11588,  12191,
  -10635,  -4662,    785,  -9198,
    2624,   3649,  -2840,   9797,
    -636,   4328,   9441, -16815,
   -5949,   5270,  -3063,   4375,
    1422,    993,   3374,   1335,
    1554,   5003, -18468,  -1984,
    6245,  -8044,  13511,   3038,
   -2103,   7824,  -6606, -14892,
    6302,  -1987,   -451,   6576,
    -315,   3427,   7945, -15329,
   -5537,   4486, -11509,  11917,
    2542,   2389,  13865,  -2876,
  -14067,   4745,  -7391,  -5694,
   16164,  -1051,   1303,   6041,
   -7793,  -4334,   1223, -10610,
    4680,  14592,  -3208, -10304,
    2123,   -476,  -1255,   4441,
      13,   4224,  10305,  -9483,
   -7105,   5248,  -8151,   5683,
   -6960,    657,   7348,  -3596,
    6051,   1281,  -3347,   -109,
   -3225,  -8195,   5649,  -8790,
    5886,  20301,  -7205,    772,
    2897, -15132,   1731,   -409,
   -4312,   7013,    416,   2738,
    6672,  -5119, -14350,   7788,
    7441,   -202, -10715,   1692,
    2271,  -2810,   3686,  -3816,
    6337,   4389,  -5127,  -6365,
    3643,  -2459,   2509,  -2626,
    1219,   2066,    872,  -2588,
    2008,  -6354,  -7287,   9575,
   -4271,   5692,   6319,  -1908,
  -14883,   7334,  -1015,    974,
   -1045,  -3014,   8248,   3479,
  -10080, -10260,  10614,   -292,
     969,  -4659,   4332,  -9218,
    4683,  -1434,    560,   1916,
     517,  -3663,   -586,   1408,
   -4326,   4373, -12867,   9491,
   -9719,   5719,   4273,   -478,
    2348,   1564,  -8601,  -1769,
    -551, -11792,  16169,   -249,
    1768,   9229,  -5162, -10005,
    6656, -16983,   3984,   5475,
   -2431,   5882,   1786,  -3456,
   -3248,   2977,  -6373,   5733,
   -3433,   3801,  -3521,   4059,
   -8343,   1959,    569,    251,
    1558,    939,  -2455, -11212,
  -13192,   2004,  10746,  -1466,
  -15215,  -6323,  10935,   6137,
  -10407, -11931,   2958,  10235,
    4856,   4466,   -270,    463,
    1600,   -889,    875,     24,
    1547,   1115,   -860,    246,
    1309,   1320,   -469,  -2655,
     590,   3934,  -1747,  -1047,
    -248,    923,    920,    411,
    -985,    887,   1906,  -1316,
     455,  -1231,  10029,  -2652,
     156,   1022,  -8745,  -9151,
   -5542,   6316,   2655,  -7509,
   -8940,   3544,   5732,  -2984,
  -17591,  -2415,   7938,   1939,
   -4445,  -5534,   1544,   4348,
    3494,   1392,    990,   -376,
    -719,    769,    486,   -512,
    -515,    430,    276,    677,
   -1187,   -283,    630,    -58,
   -3393,    832,  -2606, -12687,
    5374,    292,   -522,  -7545,
   -8128,   -178,   7853,  -4256,
   -1638,   8866,   -677,  -2015,
   -9535,   8013,  -9765, -16029,
   -1442,   9634,   2389,  -9146,
   -5976,   4327,   4232,  -5291,
   -7574,  -2623,   4185,   -430,
    4865,    534,    902,   1543,
     480,  -1464,   -253,    875,
    1294,   -824,   -979,    434,
    1392,    371,  -1814,   1469,
   -1689,   4755,   7665,   5425,
     257,  -3038,   3407,   6621,
    2688,  -3607,  -2783,  -1302,
    -631,    505,   1268,    607,
     413,    583,   1797,   1036,
    -453,    273,   1478,   1186,
     439,    473,    -74,   1940,
    1104,   3395,    715,  -2913,
   -3217,  14169,   3779,  -3544,
   -1585,   3369,  13398,  -5394,
   12715,  14427,   1994,  -6446,
    2956,  13541,   8370,  -2542,
   -7120,  -3828,  -2905,   1165,
    3173,   2409,  -1492,    513,
    1327,   6889,   9950,  19697,
   -9533,  -7683,   7297,  16286,
    3850, -15187,   4093,  -2504,
     850,   -432,   3800,   1065,
     508,   -250,   1705,   3708,
    -589,    347,    -70,   3107,
    1965,   3417,   1636,   2173,
     -65,   2834,  12897,   5369,
   -5773,   2285,   7786,   7823,
   -3543,    -68,   -846,  -4075,
   -3552, -10328,   5302,   3900,
    2280,    444,  -3315,   1395,
    3313,   1287,  -3537,  -1187,
    2967,   2791,  -1977,  -2377,
     886,   2884,   3621,    852,
     881,   1475,   1330,    668,
     -35,   1119,   1512,    952,
     195,   -221,   1397,   2395,
    -347,    174,  -7557,   3402,
     548, -11758,  -4105,   5475,
    4186, -10882, -13373,  -1343,
   10036,     95, -12417,  -9592,
    7525,   6691,  11023,  10396,
    2427,  -3532,    -95,   8347,
    4725,  -2410,  -4627,   -701,
   -1877,   1222,   -609,   2174,
   -9286,   9759,   4545,  -6991,
    2491,  -3328,   1607,    -64,
    1896,  -2087,     -5,     68,
    1526,   -267,  -1514,   -313,
    2606,    866,  -1434,    392,
    7514,   8753,  -2581,  -4022,
     689,   7760,   3254,  -3659,
   -2990,   4810,   7008,   -283,
   -5273,  -2826,   -416,    509,
    -686,   -597,    378,    451,
    -552,   -673,   1643,   1547,
    -832,  -1472,    479,    215,
     502,  -1466,    364,   5835,
   11594,   5931,  -3937,  -5579,
    7242,  11066,   1008,  -9375,
     -73,  13564,   6983,  -7101,
   -8949,   -361,  -1523,  -4568,
   -9032,   -570,   2495,   2803,
   -6408,  -3347,  -2482,   9008,
   -9329,  -5689,   8903,  -9937,
    4603, -13055,   -955,   6288,
    2564,    -34,   -778,   -299,
    -453,    772,  -2565,   -709,
   -1219,    465,  -2052,    294,
   -1745,    592,  -2085,  11410,
   10410,  -2230,  -6591,    630,
   11276,   4409,  -7012,  -5616,
    9408,   8547,  -2256,  -7812,
    3273,  10099,   3509,  -5980,
   -5446,  -3471,  -1249,  -1080,
     273,   -775,  -1012,   -908,
     -69,    636,  -1259,    698,
   -2903,   2950,  -4390,  20009,
    3073, -19935,   -990,  -1014,
    3361,   -529,   1862,   -728,
     -99,    221,   1849,    639,
      27,   -447,   2942,   4398,
   14025,   5579,  -7942,    343,
    6693,  13235,   4769,  -5617,
   -1319,  13073,  12884,  -2506,
   -8602,   5723,  14554,   4691,
   -8489,  -7557,  -4261,  -3381,
    1530,   2226,  -1069,  -2035,
    -359,   3141,    560,   -955,
   -3274,   5507,   2646,   6780,
    9258,  -6359,    445,  -1268,
    2888,   2799,   -414,  -1255,
    1374,   2694,    980,   -542,
    -190,   3051,   1493,    615,
    -883,   1456,   2139,   1937,
    -842,     18,   1638,   2418,
     148,   -691,   1237,   2794,
    1299,  -1030,   -867,   2434,
    2681,  -1289,  -1782,    675,
    3970,    959,  -1589,  -1306,
    2606,   1827,    460,  -1809,
     503,   2263,   2163,  -1361,
    -891,  11882,    448,   6113,
   17886,   2614,  -6960,  -2486,
   14144,   8587,  -2132,  -6624,
    7916,   9488, -13149,  -1355,
     863,    486,   2146,   -776,
     147,   -129,   3035,   2126,
   -1267,   -358,   2735,   3310,
    -537,  -1178,   1444,   1799,
    8641,    166,  -4258,   2446,
    -769,   2370,   -708,   2101,
    -146,    945,    513,    297,
    1754,  -1029,   4026, -21884,
    1570,  16207,  -2353,    745,
   -2334,   4026,   1671,   -669,
   -1619,    366,   2902,    -68,
    -126,  -2830,   3534,   -761,
    3682, -13795, -13258,   9866,
    6341,   2682,    810,    962,
   -2004,   3854, -24737,   7328,
    9370,  -4783,  -3659,  -3345,
    8586,   -260,   4630,  -5415,
    2232,   -692,    224,  -2034,
     815,  -1001,   1710,   -686,
    -999,    -27,   1616,   1280,
    -870,  -1733,   3854,  21055,
   -1231, -10339,   -830,   5921,
    1837,  -3904,  -2256,   1568,
     297,    425,   -462,  -1635,
    2958,   2738,  -2000,  -2215,
    1189,   1079,   -263,  -1542,
     691,   1526,    782,  -1217,
     185,    426,    889,     38,
    -860,   -627,   -244,   -130,
    -872,   -682,    125,     75,
      83,   -938,   -365,     72,
     454,  -1437,   -960,   1106,
    -685,   -318,  -6082,   2794,
    1172,   -981,   2481,    524,
      76,  -2687,    993,    840,
    1207,  -2459,  -1254,    976,
    1720,  -1735,  -2027,   -310,
    -314,   -765,    435,  -1647,
   -2577,   1208,   -559,    286,
   -3212,  -4486,  -2192,   1893,
    1722,    106,   -686,     59,
    -644,   -177,    654,    836,
    -925,  -1267,   -217,    384,
      64,  -1885,    208,    335,
    1318,  -2968,   1322,  -8573,
  -16956,   1750,   5692,  -2775,
  -11697,  -6521,   6136,   3639,
   -7390, -12978,   1647,   6371,
    5150,    880,   2592,  -2608,
    1258,  12858,  -6107,  -3670,
   -3140,  -1408,   1717,    253,
   -1756,  -2572,    743,   3000,
    9423,  12465,   5165,  -6870,
   -6602,   -714,   -223,   -152,
      84,   3970,   7108,   2492,
   -2710,   -231,   5889,   4647,
   -1251,  -3308,   -766,   3323,
    6495,  -8614,  -3107,  -7817,
   -8907,   2990,   6900,   2429,
   -2145,    505,   2058,   1690,
   -2456,  -1377,    -33,   2787,
   -8178,  17903,   8612,  -5105,
     838,   9187,  10362,  -5965,
   -2353,   3086,  13795,   4770,
   -4338,  -4244,  -4032,  -4978,
   11243,  -2843,  -5668,   3349,
   -1789,   -401,  -1625,   2209,
      17,  -2936,  -5077,    444,
    2765,    760,  -5336,  -2386,
    1270,   4606,    856,   4034,
     210,  -3951,    665,  -6241,
   -4462,   1804,   4819,   1283,
     620,    195,    860,   -663,
    1695,  -5342,  -5943,   5358,
   -1436,  -5970,  -1789,   3087,
     801,  -5033,  -3697,   -320,
    3327,  -4116,  -7048,  -5964,
    3274,   4070, -16865, -12093,
    5336,   9874,    371,  -2834,
    -301,   3138,    275,  -3950,
   -3374,   1167,   2269,    483,
   -4292,   -776,  12833,   5818,
   -3569,  -5911,   4744,   9149,
      -1,  -7756,   -276,   9538,
    4875,  -4644,  -4163,   4961,
    7985,   -919,  -9110,  -2693,
   -2623,  -2176,    427,    825,
   -1243,  -2843,   -460,   1586,
     -27,  -2647,  -2483,   1271,
     877,  -2268,   3816,    739,
   -1636,    -99,   1070,   1112,
   -1567,  -1163,    180,   2392,
    -533,  -1049,  -1028,    985,
    1379,   -235,     89,  -3029,
   -4138,    185,     15,   2572,
    5467,   4000,  -2256,  -3159,
    2455,   4466,   1004,  -3897,
   -1000,  -1787,   8564,   -712,
   -3993,   -368,  -1889,  -1225,
    5981,   9612, -10400,  -1228,
    7817,   9933,  -1467,  -8230,
    -768,  -1329,   7100,  -1296,
   -3835,  13846,  12833,    339,
   -9594,  -6573,  -1774,  -1740,
    -578,   -890,    509,   -617,
     248,   -977,   7722,  13034,
    2404,  -6506,  -5977,   7319,
    8554,   -852,  -5513,   2407,
   12491,   6155,  -6313,  -5087,
    7278,  11303,    698,  -8892,
   -6131,  -2198,   -497,  -1210,
     189,  -1033,     54,   -853,
     199,  -1170,    745,  -1864,
    1306,  -1172,   7420,  12330,
  -11232,  -1961,  -1255,   -176,
     429,   -390,  -1238,   -409,
     898,    169,  -1390,   -553,
     543,    220,  -1585,     41,
   14964,  -3713,   3373,  16113,
    4145,  -5558,  -5139,  12009,
    3990,  -5532,   -754,   2047,
   13289,   6748,  -6255,  -4889,
   -5528,  -3432,   -485,   1529,
    -457,  -1616,   -626,   1511,
     446,  -1434,  -1169,   1236,
     509,  -1072,  -1148,  -1304,
    2561,   1101,   1162,   1605,
     107,  -1103,   -293,   1688,
    1368,  -1037,  -1287,   1059,
    2032,    -23,  -1932,  -2066,
   -1279,   4353,  13433,  10623,
   -3609,  -6589,   4532,  11792,
    3138,  -6574,  -3571,   9306,
    9872,  -1312,  -9353,   4105,
   11586,   3487,  -8085,  -5849,
    2081,   2917,  -1327,  -3197,
    6704,   1037,   7969,  -2456,
   -2652,   9837,   7474,  -1471,
   -8162,  -5481,  -3320,  -1670,
      44,  -2006,  -8317,   2355,
    1323,    668,  -5019, -12169,
   -4342,   4838,   3956,  -1096,
   -1230,   -520,   1167,   -598,
    -569,   -938,   -886,   -725,
   -1548,   -819,  -1325,    196,
   -2216,   -639,  -2780,   -587,
   -2738,  -9132,   1266, -12090,
  -17457,  -2001,   6403,  -1263,
  -13662, -10660,   2203,   3957,
   -1332,   6970,  -3140,     -1,
   -8675, -12451,  25107,   3112,
  -11254,   5970,  11987,   3280,
  -13668,  -3113,  10328,   8992,
   -7287,  -7799,   2632,    536,
   -1295,  -2211,  -4719,  -1468,
     363,  -2411,  -2838,   -969,
    1699,  -1224,  -2545,  -2140,
     881,    619,  -2730,  -2575,
   -1293,   3320, -15725,  -5359,
    2871, -16686,  -9962,   -584,
    7125,  -6836, -12995,  -5826,
    4608,   1836, -10581,   5489,
    5689,  -3974,   3453,  -1300,
   -1222,   4204,   2286,  -4170,
   -4461,   1812,   2535,   -217,
   -4907,     70,   1904,   2350,
   -5721,  -1481,  -2867,  -2951,
   -2747,    283,  -4154,  -1205,
   17470, -10746,  -2855,   7768,
   10217,   2556, -10432,     88,
    6815,   8910,  -9199, -12979,
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    5288,   4040,   4879,   3465,
    2603,   2523,   1002,   1902,
    1157,     70,   -689,  -1408,
    -311,  -2466,   -329,   -602,
   -5633,  -5747,  -3261,  -2025,
   -5281,  -8534,  -7112,  -4599,
   -5107,  -8787, -10354,  -7194,
   -5491,  -8857, -11966, -13285,
  -13577, -12460,  -9648,  -8543,
  -11078, -11991, -10638,  -9451,
  -11507, -13886, -14939, -11635,
   -9862, -10465, -13010,  -9943,
   -6431,  -8502,  -8862, -10021,
   -9689,  -9985,  -8175,  -8225,
   -6674,  -7209,  -6639,  -6057,
   -6506,  -6995,  -7583,  -6976,
   -7657,  -6247,  -5671,  -4032,
   -5921,  -5734,  -1798,  -1521,
   -4341,  -5528,  -4427,  -2100,
   -2026,  -3947,  -2982,    479,
    2845,   2121,    959,   1692,
    1941,   1803,   1776,   2264,
    2829,   4111,   3751,   4616,
    5105,   5538,   7830,   4573,
    3327,   3539,   4312,   5168,
    6920,   6142,   5483,   5295,
    7717,   7185,   8415,  11339,
    4585,   6272,   6733,   6387,
   10362,   9396,   7214,   8687,
    9738,   7897,   5539,   6560,
    9069,   9000,   6053,   5032,
    8664,   9097,   6129,   2727,
    2836,   3643,   3098,   4142,
    3313,   1178,    619,   1155,
    2035,    783,  -1663,  -2347,
     451,   1772,   -590,   -316,
     711,  -1066,  -1978,  -2142,
   -3274,  -3810,  -5114,  -4667,
   -4336,  -5982,  -6486,  -7740,
   -7751,  -8331,  -9853, -10048,
  -10256, -10152, -11208, -11762,
  -12081, -13152, -13168, -13095,
  -13660, -14463, -15817, -14511,
  -12373, -15411, -19914, -19343,
  -18441, -20226, -19839, -18879,
  -20050, -20708, -21024, -20932,
  -20279, -21827, -21654, -21947,
  -21546, -22401, -22559, -22643,
  -22594, -21683, -22322, -21958,
  -23284, -22879, -23804, -21983,
  -22466, -23231, -22715, -23139,
  -22282, -22917, -22920, -22375,
  -21656, -22068, -24462, -24642,
  -20835, -20902, -21396, -22941,
  -21582, -18451, -19490, -21006,
  -20850, -18514, -16317, -17854,
  -18706, -17603, -14851, -14101,
  -14640, -12755, -13759, -14578,
  -11802,  -9194,  -9954, -12009,
  -12878,  -8141,  -7270,  -8471,
   -9960,  -6763,  -8458,  -8474,
   -6635,  -6839,  -7492,  -5468,
   -4258,  -2635,  -2011,  -3560,
   -1716,  -4158,  -1249,  -3431,
    -336,  -2924,   6147,  -9065,
  -31441, -32767, -27125, -32354,
  -12193,  -5790, -10778,  18222,
    6946,  25350,  16697,  15253,
   17435,   3983,  10903,  -3797,
    -122,  -1112, -11155,  -1502,
   -3302,   -146,   4695,  -3906,
   10846,   8608,   8677,  11999,
    4429,  16644,   8937,   3827,
   11685,    910,   7899,   4077,
    4007,  10136,    752,   9082,
    6987,   6682,  12501,   3583,
   10435,   9611,   7120,  13197,
    3879,   9570,   6732,   4088,
   10357,   3103,   8257,   7093,
    4032,  10722,   3267,   7298,
    6766,   2644,   8559,    594,
    3825,   4477,   -310,   5068,
    -148,   2519,   2051,  -1876,
    7119,    300,    929,   1142,
   -2645,   3687,  -3138,  -1566,
   -1281,  -5592,  -1397,  -5438,
   -1696,  -2736,  -8755,  -2311,
   -5281,  -4895,  -5313, -11240,
   -3661,  -7649,  -9804,  -5690,
  -11548,  -6672, -10361, -10405,
   -6938, -13066,  -7733, -11229,
  -11972,  -9032, -14928, -10453,
  -13383, -14527, -10464, -15614,
  -10738, -12424, -14222, -11206,
  -16301, -11213, -13055, -15304,
  -11708, -16331, -11925, -13829,
  -16900, -12260, -16047, -12879,
  -12946, -15311,  -8934, -12030,
  -10722, -13137, -15356,  -7247,
  -11675, -11979, -13832, -13587,
   -5362, -13024, -12720,  -9919,
  -11073,  -6029,  -8086,  -4964,
   -6549, -10429,  -5116,  -6280,
   -4983,  -5640,  -8883,  -1852,
   -3784,  -3167,  -3520,  -4503,
     838,  -3566,  -1347,    269,
   -1792,   1978,    -59,    127,
    2989,    386,   4694,   2099,
    2959,   5669,   3811,   6860,
    5682,   5430,   8683,   7883,
    7626,   9030,   7331,  10847,
    8550,  12302,  12568,  11119,
   14533,  11539,  16232,  15567,
   14582,  18206,  15559,  17563,
   17648,  16894,  19843,  17303,
   20457,  20954,  19620,  23290,
   21082,  22875,  23967,  21895,
   25227,  22313,  24389,  25072,
   21972,  26087,  24532,  26556,
   26863,  24320,  28605,  26995,
   27663,  28316,  26175,  29720,
   27254,  27960,  28720,  26133,
   28847,  28057,  28388,  30406,
   27917,  30471,  28669,  28277,
   30547,  26766,  29913,  28219,
   28152,  28840,  25643,  27632,
   25383,  26619,  29358,  26488,
   26610,  25216,  26824,  28756,
   24063,  24384,  24911,  25308,
   25761,  19848,  22100,  24286,
   23814,  22708,  19410,  22861,
   22709,  20811,  19466,  18307,
   20469,  19953,  17332,  17221,
   16040,  19207,  18897,  16023,
   17420,  15269,  16653,  14892,
   12230,  14599,  12947,  13019,
   11652,   9888,  12765,  10253,
   10189,   8927,   7075,   9471,
    7007,   7961,   7740,   5636,
    6937,   4534,   4954,   4313,
    2264,   3713,   1651,   1924,
    1687,   -300,   1377,   -288,
    -278,    -52,  -2545,  -1666,
   -3635,  -3144,  -2882,  -5274,
   -4079,  -6265,  -5318,  -5063,
   -7496,  -6227,  -7725,  -7756,
   -8226,  -9001,  -8304,  -9890,
   -9744,  -9198, -10432, -10626,
  -11632, -11818, -10368, -11466,
  -12046, -11847, -11986, -13654,
  -13363, -11115, -13347, -15150,
  -13425, -12244, -11783, -14828,
  -15161, -11748, -11736, -12500,
  -14478, -13454, -10903, -11458,
  -11803, -11765, -12286, -10365,
  -11630, -10045,  -8358, -11291,
  -11315,  -9772,  -7291,  -9944,
  -10918,  -8358,  -7395,  -7307,
   -8250,  -8740,  -5541,  -5199,
   -6716,  -6928,  -5943,  -2770,
   -4136,  -5107,  -4414,  -2434,
   -1096,  -3392,  -3507,  -3777,
   -4259,  -2492,  -1206,   -579,
   -1311,  -1549,    280,   1432,
     888,    732,    979,   2832,
    2779,   1718,   2464,   4248,
    5992,   5128,   5571,   6345,
    6177,   6232,   7491,   7845,
    8032,  10776,  10757,   8822,
    9415,  11967,  12188,  10658,
   10816,  11065,  12586,  12792,
   13139,  14129,  13673,  14653,
   14738,  15093,  15602,  15694,
   16447,  16384,  16527,  17239,
   16821,  16530,  17620,  17442,
   16880,  17891,  19472,  19281,
   17628,  18015,  19177,  19805,
   18734,  18060,  19553,  20038,
   20398,  21554,  21691,  19755,
   19268,  20580,  21546,  20528,
   19746,  19495,  20903,  21121,
   19719,  19843,  20034,  21325,
   19532,  18417,  18807,  19098,
   19245,  19083,  18663,  19041,
   18900,  18430,  18251,  17994,
   19373,  17540,  16910,  18054,
   16817,  15896,  15135,  15108,
   15670,  14975,  15414,  14824,
   14343,  13783,  12670,  13035,
   12407,  12323,  12166,  11451,
   11354,  10625,   9981,   9824,
    9245,   8774,   8119,   8161,
    8234,   7114,   6594,   6309,
    5779,   5766,   4667,   4656,
    4439,   4484,   4869,   4523,
    3435,   1692,   1406,   2692,
    2399,     92,   -749,   -417,
    1070,  -1034,  -2622,  -2676,
   -1093,  -2973,  -7130,  -6852,
   -5387,  -4109,  -5805,  -7346,
   -7530,  -5900,  -6674,  -8605,
   -9919,  -9268,  -7830,  -9800,
  -10663, -10041,  -9925, -10395,
  -11808, -11878, -12149, -13038,
  -12833, -13606, -13756, -14053,
  -14785, -14561, -15486, -15418,
  -15612, -16132, -15138, -16276,
  -16776, -17166, -17013, -16553,
  -17687, -18267, -18417, -18145,
  -18038, -19186, -19412, -18611,
  -18791, -19021, -20324, -20267,
  -20535, -20696, -19324, -19601,
  -20444, -21835, -20688, -18887,
  -20208, -21082, -21240, -19516,
  -18509, -20461, -19272, -19918,
  -21808, -19048, -17757, -19742,
  -20129, -20272, -18851, -17786,
  -18715, -19173, -19153, -16857,
  -16904, -17591, -17817, -16019,
  -14817, -15688, -15454, -15153,
  -15287, -14501, -14113, -14274,
  -13505, -13400, -12786, -12751,
  -11980, -11182, -10652, -11505,
  -10027,  -8995,  -9513,  -8592,
   -7876,  -7688,  -8128,  -7239,
   -7979,  -7780,  -6105,  -4699,
   -4802,  -6320,  -5121,  -2885,
   -2268,  -1195,  -1188,  -1854,
   -2389,  -1520,    414,    -31,
     -43,    472,   1711,   2887,
    2200,   1870,   3116,   3861,
    3569,   3865,   4440,   5113,
    5601,   6333,   6358,   6396,
    7952,   8050,   7541,   7739,
    8968,  10079,   9950,  10974,
   11770,  11005,  11156,  11921,
   12485,  12348,  12043,  13282,
   13968,  14084,  13486,  13619,
   14938,  14748,  14744,  14545,
   14338,  15287,  15128,  16114,
   16341,  15960,  16442,  16276,
   16738,  16608,  16587,  16942,
   17036,  17067,  16873,  16859,
   18198,  17051,  17892,  16744,
   16229,  17605,  17305,  16878,
   16599,  16991,  17338,  16728,
   16460,  18190,  16058,  16497,
   16114,  16987,  15599,  16964,
   16117,  15146,  15279,  16932,
   15244,  14088,  14167,  14309,
   16367,  12557,  23737,  19846,
   18388,  16918,  13776,  14317,
   10368,  11932,   9314,   9525,
    9198,   8758,   9328,  10280,
    9690,  11033,  10134,  10545,
    8995,   8129,   7837,   6551,
    8280,   7712,   6372,   5692,
    4608,   5376,   4534,
};


const int16_t* sample_table[] = {
  smp_sample_data,
  smp_noise_sample,
};

const size_t smp_boundaries[] = {
       0,  17099,  20852,  30369,
   63050,  85807,  95952, 106297,
  117606, 128013,
};


const size_t* sample_boundary_table[] = {
  smp_boundaries,
};


}  // namespace elements
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