/*
 * Copyright 2013 The Android Open Source Project
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

//
// Teapot.inl
// Derived from WebGL sample
// https://github.com/KhronosGroup/WebGL/blob/master/sdk/demos/google/shiny-teapot/teapot-streams.js
//

float teapotPositions[] = { 17.83489990234375, 0, 30.573999404907227, 16.452699661254883, -7.000179767608643, 30.573999404907227,
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        0, 0, 40.12839889526367, 3.0849199295043945, -3.0849199295043945, 39.501399993896484,
        2.943150043487549, -2.943150043487549, 37.97869873046875, 1.782039999961853, -1.782039999961853, 36.09769821166992,
        1.8089599609375, -1.8089599609375, 34.39580154418945, 0, 0, 40.12839889526367,
        1.7077000141143799, -4.004499912261963, 39.501399993896484, 1.6290700435638428, -3.8207099437713623, 37.97869873046875,
        0.985912024974823, -2.314160108566284, 36.09769821166992, 1.0000300407409668, -2.3503799438476562, 34.39580154418945,
        0, 0, 40.12839889526367, 0, -4.339280128479004, 39.501399993896484,
        0, -4.140230178833008, 37.97869873046875, 0, -2.5080299377441406, 36.09769821166992,
        0, -2.547840118408203, 34.39580154418945, 0, 0, 40.12839889526367,
        0, 0, 40.12839889526367, -1.7077000141143799, -4.004499912261963, 39.501399993896484,
        0, -4.339280128479004, 39.501399993896484, -1.6290700435638428, -3.8207099437713623, 37.97869873046875,
        0, -4.140230178833008, 37.97869873046875, -0.985912024974823, -2.314160108566284, 36.09769821166992,
        0, -2.5080299377441406, 36.09769821166992, -1.0000300407409668, -2.3503799438476562, 34.39580154418945,
        0, -2.547840118408203, 34.39580154418945, 0, 0, 40.12839889526367,
        -3.0849199295043945, -3.0849199295043945, 39.501399993896484, -2.943150043487549, -2.943150043487549, 37.97869873046875,
        -1.782039999961853, -1.782039999961853, 36.09769821166992, -1.8089599609375, -1.8089599609375, 34.39580154418945,
        0, 0, 40.12839889526367, -4.004499912261963, -1.7077000141143799, 39.501399993896484,
        -3.8207099437713623, -1.6290700435638428, 37.97869873046875, -2.314160108566284, -0.985912024974823, 36.09769821166992,
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        -2.5080299377441406, 0, 36.09769821166992, -2.547840118408203, 0, 34.39580154418945,
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        -4.004499912261963, 1.7077000141143799, 39.501399993896484, -4.339280128479004, 0, 39.501399993896484,
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        -2.314160108566284, 0.985912024974823, 36.09769821166992, -2.5080299377441406, 0, 36.09769821166992,
        -2.3503799438476562, 1.0000300407409668, 34.39580154418945, -2.547840118408203, 0, 34.39580154418945,
        0, 0, 40.12839889526367, -3.0849199295043945, 3.0849199295043945, 39.501399993896484,
        -2.943150043487549, 2.943150043487549, 37.97869873046875, -1.782039999961853, 1.782039999961853, 36.09769821166992,
        -1.8089599609375, 1.8089599609375, 34.39580154418945, 0, 0, 40.12839889526367,
        -1.7077000141143799, 4.004499912261963, 39.501399993896484, -1.6290700435638428, 3.8207099437713623, 37.97869873046875,
        -0.985912024974823, 2.314160108566284, 36.09769821166992, -1.0000300407409668, 2.3503799438476562, 34.39580154418945,
        0, 0, 40.12839889526367, 0, 4.339280128479004, 39.501399993896484,
        0, 4.140230178833008, 37.97869873046875, 0, 2.5080299377441406, 36.09769821166992,
        0, 2.547840118408203, 34.39580154418945, 0, 0, 40.12839889526367,
        0, 0, 40.12839889526367, 1.7077000141143799, 4.004499912261963, 39.501399993896484,
        0, 4.339280128479004, 39.501399993896484, 1.6290700435638428, 3.8207099437713623, 37.97869873046875,
        0, 4.140230178833008, 37.97869873046875, 0.985912024974823, 2.314160108566284, 36.09769821166992,
        0, 2.5080299377441406, 36.09769821166992, 1.0000300407409668, 2.3503799438476562, 34.39580154418945,
        0, 2.547840118408203, 34.39580154418945, 0, 0, 40.12839889526367,
        3.0849199295043945, 3.0849199295043945, 39.501399993896484, 2.943150043487549, 2.943150043487549, 37.97869873046875,
        1.782039999961853, 1.782039999961853, 36.09769821166992, 1.8089599609375, 1.8089599609375, 34.39580154418945,
        0, 0, 40.12839889526367, 4.004499912261963, 1.7077000141143799, 39.501399993896484,
        3.8207099437713623, 1.6290700435638428, 37.97869873046875, 2.314160108566284, 0.985912024974823, 36.09769821166992,
        2.3503799438476562, 1.0000300407409668, 34.39580154418945, 0, 0, 40.12839889526367,
        4.339280128479004, 0, 39.501399993896484, 4.140230178833008, 0, 37.97869873046875,
        2.5080299377441406, 0, 36.09769821166992, 2.547840118408203, 0, 34.39580154418945,
        2.547840118408203, 0, 34.39580154418945, 2.3503799438476562, -1.0000300407409668, 34.39580154418945,
        5.361800193786621, -2.2813100814819336, 33.261199951171875, 5.812250137329102, 0, 33.261199951171875,
        9.695320129394531, -4.125110149383545, 32.484901428222656, 10.50979995727539, 0, 32.484901428222656,
        13.58810043334961, -5.781400203704834, 31.708599090576172, 14.729700088500977, 0, 31.708599090576172,
        15.27750015258789, -6.5001702308654785, 30.573999404907227, 16.56089973449707, 0, 30.573999404907227,
        1.8089599609375, -1.8089599609375, 34.39580154418945, 4.126699924468994, -4.126699924468994, 33.261199951171875,
        7.461979866027832, -7.461979866027832, 32.484901428222656, 10.458100318908691, -10.458100318908691, 31.708599090576172,
        11.758299827575684, -11.758299827575684, 30.573999404907227, 1.0000300407409668, -2.3503799438476562, 34.39580154418945,
        2.2813100814819336, -5.361800193786621, 33.261199951171875, 4.125110149383545, -9.695320129394531, 32.484901428222656,
        5.781400203704834, -13.58810043334961, 31.708599090576172, 6.5001702308654785, -15.27750015258789, 30.573999404907227,
        0, -2.547840118408203, 34.39580154418945, 0, -5.812250137329102, 33.261199951171875,
        0, -10.50979995727539, 32.484901428222656, 0, -14.729700088500977, 31.708599090576172,
        0, -16.56089973449707, 30.573999404907227, 0, -2.547840118408203, 34.39580154418945,
        -1.0000300407409668, -2.3503799438476562, 34.39580154418945, -2.2813100814819336, -5.361800193786621, 33.261199951171875,
        0, -5.812250137329102, 33.261199951171875, -4.125110149383545, -9.695320129394531, 32.484901428222656,
        0, -10.50979995727539, 32.484901428222656, -5.781400203704834, -13.58810043334961, 31.708599090576172,
        0, -14.729700088500977, 31.708599090576172, -6.5001702308654785, -15.27750015258789, 30.573999404907227,
        0, -16.56089973449707, 30.573999404907227, -1.8089599609375, -1.8089599609375, 34.39580154418945,
        -4.126699924468994, -4.126699924468994, 33.261199951171875, -7.461979866027832, -7.461979866027832, 32.484901428222656,
        -10.458100318908691, -10.458100318908691, 31.708599090576172, -11.758299827575684, -11.758299827575684, 30.573999404907227,
        -2.3503799438476562, -1.0000300407409668, 34.39580154418945, -5.361800193786621, -2.2813100814819336, 33.261199951171875,
        -9.695320129394531, -4.125110149383545, 32.484901428222656, -13.58810043334961, -5.781400203704834, 31.708599090576172,
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        -5.812250137329102, 0, 33.261199951171875, -10.50979995727539, 0, 32.484901428222656,
        -14.729700088500977, 0, 31.708599090576172, -16.56089973449707, 0, 30.573999404907227,
        -2.547840118408203, 0, 34.39580154418945, -2.3503799438476562, 1.0000300407409668, 34.39580154418945,
        -5.361800193786621, 2.2813100814819336, 33.261199951171875, -5.812250137329102, 0, 33.261199951171875,
        -9.695320129394531, 4.125110149383545, 32.484901428222656, -10.50979995727539, 0, 32.484901428222656,
        -13.58810043334961, 5.781400203704834, 31.708599090576172, -14.729700088500977, 0, 31.708599090576172,
        -15.27750015258789, 6.5001702308654785, 30.573999404907227, -16.56089973449707, 0, 30.573999404907227,
        -1.8089599609375, 1.8089599609375, 34.39580154418945, -4.126699924468994, 4.126699924468994, 33.261199951171875,
        -7.461979866027832, 7.461979866027832, 32.484901428222656, -10.458100318908691, 10.458100318908691, 31.708599090576172,
        -11.758299827575684, 11.758299827575684, 30.573999404907227, -1.0000300407409668, 2.3503799438476562, 34.39580154418945,
        -2.2813100814819336, 5.361800193786621, 33.261199951171875, -4.125110149383545, 9.695320129394531, 32.484901428222656,
        -5.781400203704834, 13.58810043334961, 31.708599090576172, -6.5001702308654785, 15.27750015258789, 30.573999404907227,
        0, 2.547840118408203, 34.39580154418945, 0, 5.812250137329102, 33.261199951171875,
        0, 10.50979995727539, 32.484901428222656, 0, 14.729700088500977, 31.708599090576172,
        0, 16.56089973449707, 30.573999404907227, 0, 2.547840118408203, 34.39580154418945,
        1.0000300407409668, 2.3503799438476562, 34.39580154418945, 2.2813100814819336, 5.361800193786621, 33.261199951171875,
        0, 5.812250137329102, 33.261199951171875, 4.125110149383545, 9.695320129394531, 32.484901428222656,
        0, 10.50979995727539, 32.484901428222656, 5.781400203704834, 13.58810043334961, 31.708599090576172,
        0, 14.729700088500977, 31.708599090576172, 6.5001702308654785, 15.27750015258789, 30.573999404907227,
        0, 16.56089973449707, 30.573999404907227, 1.8089599609375, 1.8089599609375, 34.39580154418945,
        4.126699924468994, 4.126699924468994, 33.261199951171875, 7.461979866027832, 7.461979866027832, 32.484901428222656,
        10.458100318908691, 10.458100318908691, 31.708599090576172, 11.758299827575684, 11.758299827575684, 30.573999404907227,
        2.3503799438476562, 1.0000300407409668, 34.39580154418945, 5.361800193786621, 2.2813100814819336, 33.261199951171875,
        9.695320129394531, 4.125110149383545, 32.484901428222656, 13.58810043334961, 5.781400203704834, 31.708599090576172,
        15.27750015258789, 6.5001702308654785, 30.573999404907227, 2.547840118408203, 0, 34.39580154418945,
        5.812250137329102, 0, 33.261199951171875, 10.50979995727539, 0, 32.484901428222656,
        14.729700088500977, 0, 31.708599090576172, 16.56089973449707, 0, 30.573999404907227 };

float teapotNormals[] = { -0.9667419791221619, 0, -0.25575199723243713, -0.8930140137672424, 0.3698819875717163, -0.2563450038433075,
        -0.8934370279312134, 0.36910200119018555, 0.2559970021247864, -0.9668239951133728, 0, 0.2554430067539215,
        -0.0838799998164177, 0.03550700098276138, 0.9958429932594299, -0.09205400198698044, 0, 0.9957540035247803,
        0.629721999168396, -0.2604379951953888, 0.7318620085716248, 0.6820489764213562, 0, 0.7313070297241211,
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        -0.06492599844932556, 0.06492500007152557, 0.9957759976387024, 0.48139700293540955, -0.48139700293540955, 0.7324709892272949,
        0.6148040294647217, -0.6148040294647217, 0.4939970076084137, -0.3698819875717163, 0.8930140137672424, -0.2563450038433075,
        -0.36910200119018555, 0.8934370279312134, 0.2559959888458252, -0.03550700098276138, 0.0838790014386177, 0.9958429932594299,
        0.26043900847435, -0.6297230124473572, 0.7318609952926636, 0.3325839936733246, -0.803725004196167, 0.4933690130710602,
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        0.967441976070404, -0.00810300000011921, 0.25296199321746826, 0.0934389978647232, -0.0012799999676644802, 0.9956240057945251,
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        0.8934370279312134, -0.36910200119018555, 0.2559970021247864, 0.967441976070404, -0.00810300000011921, 0.25296199321746826,
        0.0838799998164177, -0.03550700098276138, 0.9958429932594299, 0.0934389978647232, -0.0012799999676644802, 0.9956240057945251,
        -0.629721999168396, 0.2604379951953888, 0.7318620085716248, -0.6821659803390503, 0.0003429999924264848, 0.7311969995498657,
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        -0.6148040294647217, 0.6148040294647217, 0.4939970076084137, 0.3698819875717163, -0.8930140137672424, -0.2563450038433075,
        0.36910200119018555, -0.8934370279312134, 0.2559959888458252, 0.03550700098276138, -0.0838790014386177, 0.9958429932594299,
        -0.26043900847435, 0.6297230124473572, 0.7318609952926636, -0.3325839936733246, 0.803725004196167, 0.4933690130710602,
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        0, -0.09205400198698044, 0.9957540035247803, 0.2604379951953888, 0.629721999168396, 0.7318620085716248,
        0, 0.6820489764213562, 0.7313070297241211, 0.3325839936733246, 0.803725004196167, 0.4933690130710602,
        0, 0.8703010082244873, 0.4925200045108795, -0.6834070086479187, -0.6834070086479187, -0.2567310035228729,
        -0.6835309863090515, -0.6835309863090515, 0.25606799125671387, -0.06492500007152557, -0.06492599844932556, 0.9957759976387024,
        0.48139700293540955, 0.48139700293540955, 0.7324709892272949, 0.6148040294647217, 0.6148040294647217, 0.4939970076084137,
        -0.8930140137672424, -0.3698819875717163, -0.2563450038433075, -0.8934370279312134, -0.36910200119018555, 0.2559959888458252,
        -0.0838790014386177, -0.03550700098276138, 0.9958429932594299, 0.6297230124473572, 0.26043900847435, 0.7318609952926636,
        0.803725004196167, 0.3325839936733246, 0.4933690130710602, -0.9667419791221619, 0, -0.25575199723243713,
        -0.9668239951133728, 0, 0.2554430067539215, -0.09205400198698044, 0, 0.9957540035247803,
        0.6820489764213562, 0, 0.7313070297241211, 0.8703010082244873, 0, 0.4925200045108795,
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        0, 0.5266720056533813, 0.8500679731369019, 0.5517799854278564, 0.5518630146980286, 0.6252880096435547,
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        0.1595889925956726, 0.06596100330352783, 0.9849770069122314, 0.3504979908466339, 0.1447400003671646, 0.9253119826316833,
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        0.23658299446105957, 0, 0.9716110229492188, 0.17308400571346283, 0, 0.9849069714546204,
        0.37970298528671265, 0, 0.925108015537262, 0.5266720056533813, 0, 0.8500679731369019 };

float teapotTangents[] = { 0.012897999957203865, 0.998727023601532, -0.048757001757621765, 0.3861910104751587, 0.9210079908370972, -0.016421999782323837,
        0.38136398792266846, 0.9230089783668518, 0.000155999994603917, 0.012866999953985214, 0.9987300038337708, 0.04870200157165527,
        0.3750790059566498, 0.9061710238456726, -0.0007169999880716205, 0.19210100173950195, 0.9812139868736267, 0.01775900088250637,
        0.3782620131969452, 0.9142940044403076, -0.00011300000187475234, 0.10451500117778778, 0.9897350072860718, -0.09747499972581863,
        0.3655939996242523, 0.9257190227508545, 0.028463000431656837, 0.04767199978232384, 0.9953050017356873, -0.08423800021409988,
        0.7092679738998413, 0.7031199932098389, -0.016364000737667084, 0.7061989903450012, 0.7061989903450012, 0,
        0.6937360167503357, 0.6937360167503357, 0, 0.6997770071029663, 0.6997770071029663, 0,
        0.6924030184745789, 0.7150859832763672, 0.02822900004684925, 0.9243540167808533, 0.37810400128364563, -0.01657800003886223,
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        0.9142940044403076, 0.3782620131969452, 0.00011300000187475234, 0.9133660197257996, 0.39544400572776794, 0.028490999713540077,
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float  teapotBinormals[] = { 0.2554270029067993, -0.05043400079011917, -0.9655119776725769, 0.2302899956703186, -0.11379700154066086, -0.9664459824562073,
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        1, 0, 0.875, 0.75, 0, 1, 0.75, 0,
        0.875, 0.5, 0, 1, 0.5, 0, 0.875, 0.25,
        0, 1, 0.25, 0, 0.875, 0, 0, 1,
        0, 0, 0.75, 1, 0, 0.75, 0.75, 0,
        0.75, 0.5, 0, 0.75, 0.25, 0, 0.75, 0,
        0, 0.625, 1, 0, 0.625, 0.75, 0, 0.625,
        0.5, 0, 0.625, 0.25, 0, 0.625, 0, 0,
        0.5, 1, 0, 0.5, 0.75, 0, 0.5, 0.5,
        0, 0.5, 0.25, 0, 0.5, 0, 0, 0.5,
        1, 0, 0.375, 1, 0, 0.375, 0.75, 0,
        0.5, 0.75, 0, 0.375, 0.5, 0, 0.5, 0.5,
        0, 0.375, 0.25, 0, 0.5, 0.25, 0, 0.375,
        0, 0, 0.5, 0, 0, 0.25, 1, 0,
        0.25, 0.75, 0, 0.25, 0.5, 0, 0.25, 0.25,
        0, 0.25, 0, 0, 0.125, 1, 0, 0.125,
        0.75, 0, 0.125, 0.5, 0, 0.125, 0.25, 0,
        0.125, 0, 0, 0, 1, 0, 0, 0.75,
        0, 0, 0.5, 0, 0, 0.25, 0, 0,
        0, 0, 1, 1, 0, 0.875, 1, 0,
        0.875, 0.75, 0, 1, 0.75, 0, 0.875, 0.5,
        0, 1, 0.5, 0, 0.875, 0.25, 0, 1,
        0.25, 0, 0.875, 0, 0, 1, 0, 0,
        0.75, 1, 0, 0.75, 0.75, 0, 0.75, 0.5,
        0, 0.75, 0.25, 0, 0.75, 0, 0, 0.625,
        1, 0, 0.625, 0.75, 0, 0.625, 0.5, 0,
        0.625, 0.25, 0, 0.625, 0, 0, 0.5, 1,
        0, 0.5, 0.75, 0, 0.5, 0.5, 0, 0.5,
        0.25, 0, 0.5, 0, 0, 0.5, 1, 0,
        0.375, 1, 0, 0.375, 0.75, 0, 0.5, 0.75,
        0, 0.375, 0.5, 0, 0.5, 0.5, 0, 0.375,
        0.25, 0, 0.5, 0.25, 0, 0.375, 0, 0,
        0.5, 0, 0, 0.25, 1, 0, 0.25, 0.75,
        0, 0.25, 0.5, 0, 0.25, 0.25, 0, 0.25,
        0, 0, 0.125, 1, 0, 0.125, 0.75, 0,
        0.125, 0.5, 0, 0.125, 0.25, 0, 0.125, 0,
        0, 0, 1, 0, 0, 0.75, 0, 0,
        0.5, 0, 0, 0.25, 0, 0, 0, 0 };

uint16_t  teapotIndices[] = { 0, 1, 2, 2, 3, 0, 3, 2, 4, 4, 5, 3, 5, 4, 6, 6, 7, 5, 7, 6, 8, 8, 9, 7,
        1, 10, 11, 11, 2, 1, 2, 11, 12, 12, 4, 2, 4, 12, 13, 13, 6, 4, 6, 13, 14, 14, 8, 6,
        10, 15, 16, 16, 11, 10, 11, 16, 17, 17, 12, 11, 12, 17, 18, 18, 13, 12, 13, 18, 19, 19, 14, 13,
        15, 20, 21, 21, 16, 15, 16, 21, 22, 22, 17, 16, 17, 22, 23, 23, 18, 17, 18, 23, 24, 24, 19, 18,
        25, 26, 27, 27, 28, 25, 28, 27, 29, 29, 30, 28, 30, 29, 31, 31, 32, 30, 32, 31, 33, 33, 34, 32,
        26, 35, 36, 36, 27, 26, 27, 36, 37, 37, 29, 27, 29, 37, 38, 38, 31, 29, 31, 38, 39, 39, 33, 31,
        35, 40, 41, 41, 36, 35, 36, 41, 42, 42, 37, 36, 37, 42, 43, 43, 38, 37, 38, 43, 44, 44, 39, 38,
        40, 45, 46, 46, 41, 40, 41, 46, 47, 47, 42, 41, 42, 47, 48, 48, 43, 42, 43, 48, 49, 49, 44, 43,
        50, 51, 52, 52, 53, 50, 53, 52, 54, 54, 55, 53, 55, 54, 56, 56, 57, 55, 57, 56, 58, 58, 59, 57,
        51, 60, 61, 61, 52, 51, 52, 61, 62, 62, 54, 52, 54, 62, 63, 63, 56, 54, 56, 63, 64, 64, 58, 56,
        60, 65, 66, 66, 61, 60, 61, 66, 67, 67, 62, 61, 62, 67, 68, 68, 63, 62, 63, 68, 69, 69, 64, 63,
        65, 70, 71, 71, 66, 65, 66, 71, 72, 72, 67, 66, 67, 72, 73, 73, 68, 67, 68, 73, 74, 74, 69, 68,
        75, 76, 77, 77, 78, 75, 78, 77, 79, 79, 80, 78, 80, 79, 81, 81, 82, 80, 82, 81, 83, 83, 84, 82,
        76, 85, 86, 86, 77, 76, 77, 86, 87, 87, 79, 77, 79, 87, 88, 88, 81, 79, 81, 88, 89, 89, 83, 81,
        85, 90, 91, 91, 86, 85, 86, 91, 92, 92, 87, 86, 87, 92, 93, 93, 88, 87, 88, 93, 94, 94, 89, 88,
        90, 95, 96, 96, 91, 90, 91, 96, 97, 97, 92, 91, 92, 97, 98, 98, 93, 92, 93, 98, 99, 99, 94, 93,
        100, 101, 102, 102, 103, 100, 103, 102, 104, 104, 105, 103, 105, 104, 106, 106, 107, 105, 107, 106, 108, 108, 109, 107,
        101, 110, 111, 111, 102, 101, 102, 111, 112, 112, 104, 102, 104, 112, 113, 113, 106, 104, 106, 113, 114, 114, 108, 106,
        110, 115, 116, 116, 111, 110, 111, 116, 117, 117, 112, 111, 112, 117, 118, 118, 113, 112, 113, 118, 119, 119, 114, 113,
        115, 120, 121, 121, 116, 115, 116, 121, 122, 122, 117, 116, 117, 122, 123, 123, 118, 117, 118, 123, 124, 124, 119, 118,
        125, 126, 127, 127, 128, 125, 128, 127, 129, 129, 130, 128, 130, 129, 131, 131, 132, 130, 132, 131, 133, 133, 134, 132,
        126, 135, 136, 136, 127, 126, 127, 136, 137, 137, 129, 127, 129, 137, 138, 138, 131, 129, 131, 138, 139, 139, 133, 131,
        135, 140, 141, 141, 136, 135, 136, 141, 142, 142, 137, 136, 137, 142, 143, 143, 138, 137, 138, 143, 144, 144, 139, 138,
        140, 145, 146, 146, 141, 140, 141, 146, 147, 147, 142, 141, 142, 147, 148, 148, 143, 142, 143, 148, 149, 149, 144, 143,
        150, 151, 152, 152, 153, 150, 153, 152, 154, 154, 155, 153, 155, 154, 156, 156, 157, 155, 157, 156, 158, 158, 159, 157,
        151, 160, 161, 161, 152, 151, 152, 161, 162, 162, 154, 152, 154, 162, 163, 163, 156, 154, 156, 163, 164, 164, 158, 156,
        160, 165, 166, 166, 161, 160, 161, 166, 167, 167, 162, 161, 162, 167, 168, 168, 163, 162, 163, 168, 169, 169, 164, 163,
        165, 170, 171, 171, 166, 165, 166, 171, 172, 172, 167, 166, 167, 172, 173, 173, 168, 167, 168, 173, 174, 174, 169, 168,
        175, 176, 177, 177, 178, 175, 178, 177, 179, 179, 180, 178, 180, 179, 181, 181, 182, 180, 182, 181, 183, 183, 184, 182,
        176, 185, 186, 186, 177, 176, 177, 186, 187, 187, 179, 177, 179, 187, 188, 188, 181, 179, 181, 188, 189, 189, 183, 181,
        185, 190, 191, 191, 186, 185, 186, 191, 192, 192, 187, 186, 187, 192, 193, 193, 188, 187, 188, 193, 194, 194, 189, 188,
        190, 195, 196, 196, 191, 190, 191, 196, 197, 197, 192, 191, 192, 197, 198, 198, 193, 192, 193, 198, 199, 199, 194, 193,
        200, 201, 202, 202, 203, 200, 203, 202, 204, 204, 205, 203, 205, 204, 206, 206, 207, 205, 207, 206, 208, 208, 209, 207,
        201, 210, 211, 211, 202, 201, 202, 211, 212, 212, 204, 202, 204, 212, 213, 213, 206, 204, 206, 213, 214, 214, 208, 206,
        210, 215, 216, 216, 211, 210, 211, 216, 217, 217, 212, 211, 212, 217, 218, 218, 213, 212, 213, 218, 219, 219, 214, 213,
        215, 220, 221, 221, 216, 215, 216, 221, 222, 222, 217, 216, 217, 222, 223, 223, 218, 217, 218, 223, 224, 224, 219, 218,
        225, 226, 227, 227, 228, 225, 228, 227, 229, 229, 230, 228, 230, 229, 231, 231, 232, 230, 232, 231, 233, 233, 234, 232,
        226, 235, 236, 236, 227, 226, 227, 236, 237, 237, 229, 227, 229, 237, 238, 238, 231, 229, 231, 238, 239, 239, 233, 231,
        235, 240, 241, 241, 236, 235, 236, 241, 242, 242, 237, 236, 237, 242, 243, 243, 238, 237, 238, 243, 244, 244, 239, 238,
        240, 245, 246, 246, 241, 240, 241, 246, 247, 247, 242, 241, 242, 247, 248, 248, 243, 242, 243, 248, 249, 249, 244, 243,
        250, 251, 252, 252, 253, 250, 253, 252, 254, 254, 255, 253, 255, 254, 256, 256, 257, 255, 257, 256, 258, 258, 259, 257,
        251, 260, 261, 261, 252, 251, 252, 261, 262, 262, 254, 252, 254, 262, 263, 263, 256, 254, 256, 263, 264, 264, 258, 256,
        260, 265, 266, 266, 261, 260, 261, 266, 267, 267, 262, 261, 262, 267, 268, 268, 263, 262, 263, 268, 269, 269, 264, 263,
        265, 270, 271, 271, 266, 265, 266, 271, 272, 272, 267, 266, 267, 272, 273, 273, 268, 267, 268, 273, 274, 274, 269, 268,
        275, 276, 277, 277, 278, 275, 278, 277, 279, 279, 280, 278, 280, 279, 281, 281, 282, 280, 282, 281, 283, 283, 284, 282,
        276, 285, 286, 286, 277, 276, 277, 286, 287, 287, 279, 277, 279, 287, 288, 288, 281, 279, 281, 288, 289, 289, 283, 281,
        285, 290, 291, 291, 286, 285, 286, 291, 292, 292, 287, 286, 287, 292, 293, 293, 288, 287, 288, 293, 294, 294, 289, 288,
        290, 295, 296, 296, 291, 290, 291, 296, 297, 297, 292, 291, 292, 297, 298, 298, 293, 292, 293, 298, 299, 299, 294, 293,
        300, 301, 302, 302, 303, 300, 303, 302, 304, 304, 305, 303, 305, 304, 306, 306, 307, 305, 307, 306, 308, 308, 309, 307,
        301, 310, 311, 311, 302, 301, 302, 311, 312, 312, 304, 302, 304, 312, 313, 313, 306, 304, 306, 313, 314, 314, 308, 306,
        310, 315, 316, 316, 311, 310, 311, 316, 317, 317, 312, 311, 312, 317, 318, 318, 313, 312, 313, 318, 319, 319, 314, 313,
        315, 320, 321, 321, 316, 315, 316, 321, 322, 322, 317, 316, 317, 322, 323, 323, 318, 317, 318, 323, 324, 324, 319, 318,
        325, 326, 327, 327, 328, 325, 328, 327, 329, 329, 330, 328, 330, 329, 331, 331, 332, 330, 332, 331, 333, 333, 334, 332,
        326, 335, 336, 336, 327, 326, 327, 336, 337, 337, 329, 327, 329, 337, 338, 338, 331, 329, 331, 338, 339, 339, 333, 331,
        335, 340, 341, 341, 336, 335, 336, 341, 342, 342, 337, 336, 337, 342, 343, 343, 338, 337, 338, 343, 344, 344, 339, 338,
        340, 345, 346, 346, 341, 340, 341, 346, 347, 347, 342, 341, 342, 347, 348, 348, 343, 342, 343, 348, 349, 349, 344, 343,
        350, 351, 352, 352, 353, 350, 353, 352, 354, 354, 355, 353, 355, 354, 356, 356, 357, 355, 357, 356, 358, 358, 359, 357,
        351, 360, 361, 361, 352, 351, 352, 361, 362, 362, 354, 352, 354, 362, 363, 363, 356, 354, 356, 363, 364, 364, 358, 356,
        360, 365, 366, 366, 361, 360, 361, 366, 367, 367, 362, 361, 362, 367, 368, 368, 363, 362, 363, 368, 369, 369, 364, 363,
        365, 370, 371, 371, 366, 365, 366, 371, 372, 372, 367, 366, 367, 372, 373, 373, 368, 367, 368, 373, 374, 374, 369, 368,
        375, 376, 377, 377, 378, 375, 378, 377, 379, 379, 380, 378, 380, 379, 381, 381, 382, 380, 382, 381, 383, 383, 384, 382,
        376, 385, 386, 386, 377, 376, 377, 386, 387, 387, 379, 377, 379, 387, 388, 388, 381, 379, 381, 388, 389, 389, 383, 381,
        385, 390, 391, 391, 386, 385, 386, 391, 392, 392, 387, 386, 387, 392, 393, 393, 388, 387, 388, 393, 394, 394, 389, 388,
        390, 395, 396, 396, 391, 390, 391, 396, 397, 397, 392, 391, 392, 397, 398, 398, 393, 392, 393, 398, 399, 399, 394, 393,
        400, 401, 402, 402, 403, 400, 403, 402, 404, 404, 405, 403, 405, 404, 406, 406, 407, 405, 407, 406, 408, 408, 409, 407,
        401, 410, 411, 411, 402, 401, 402, 411, 412, 412, 404, 402, 404, 412, 413, 413, 406, 404, 406, 413, 414, 414, 408, 406,
        410, 415, 416, 416, 411, 410, 411, 416, 417, 417, 412, 411, 412, 417, 418, 418, 413, 412, 413, 418, 419, 419, 414, 413,
        415, 420, 421, 421, 416, 415, 416, 421, 422, 422, 417, 416, 417, 422, 423, 423, 418, 417, 418, 423, 424, 424, 419, 418,
        425, 426, 427, 427, 428, 425, 428, 427, 429, 429, 430, 428, 430, 429, 431, 431, 432, 430, 432, 431, 433, 433, 434, 432,
        426, 435, 436, 436, 427, 426, 427, 436, 437, 437, 429, 427, 429, 437, 438, 438, 431, 429, 431, 438, 439, 439, 433, 431,
        435, 440, 441, 441, 436, 435, 436, 441, 442, 442, 437, 436, 437, 442, 443, 443, 438, 437, 438, 443, 444, 444, 439, 438,
        440, 445, 446, 446, 441, 440, 441, 446, 447, 447, 442, 441, 442, 447, 448, 448, 443, 442, 443, 448, 449, 449, 444, 443,
        450, 451, 452, 452, 453, 450, 453, 452, 454, 454, 455, 453, 455, 454, 456, 456, 457, 455, 457, 456, 458, 458, 459, 457,
        451, 460, 461, 461, 452, 451, 452, 461, 462, 462, 454, 452, 454, 462, 463, 463, 456, 454, 456, 463, 464, 464, 458, 456,
        460, 465, 466, 466, 461, 460, 461, 466, 467, 467, 462, 461, 462, 467, 468, 468, 463, 462, 463, 468, 469, 469, 464, 463,
        465, 470, 471, 471, 466, 465, 466, 471, 472, 472, 467, 466, 467, 472, 473, 473, 468, 467, 468, 473, 474, 474, 469, 468,
        475, 476, 477, 477, 478, 475, 478, 477, 479, 479, 480, 478, 480, 479, 481, 481, 482, 480, 482, 481, 483, 483, 484, 482,
        476, 485, 486, 486, 477, 476, 477, 486, 487, 487, 479, 477, 479, 487, 488, 488, 481, 479, 481, 488, 489, 489, 483, 481,
        485, 490, 491, 491, 486, 485, 486, 491, 492, 492, 487, 486, 487, 492, 493, 493, 488, 487, 488, 493, 494, 494, 489, 488,
        490, 495, 496, 496, 491, 490, 491, 496, 497, 497, 492, 491, 492, 497, 498, 498, 493, 492, 493, 498, 499, 499, 494, 493,
        500, 501, 502, 502, 503, 500, 503, 502, 504, 504, 505, 503, 505, 504, 506, 506, 507, 505, 507, 506, 508, 508, 509, 507,
        501, 510, 511, 511, 502, 501, 502, 511, 512, 512, 504, 502, 504, 512, 513, 513, 506, 504, 506, 513, 514, 514, 508, 506,
        510, 515, 516, 516, 511, 510, 511, 516, 517, 517, 512, 511, 512, 517, 518, 518, 513, 512, 513, 518, 519, 519, 514, 513,
        515, 520, 521, 521, 516, 515, 516, 521, 522, 522, 517, 516, 517, 522, 523, 523, 518, 517, 518, 523, 524, 524, 519, 518,
        525, 526, 527, 527, 528, 525, 528, 527, 529, 529, 530, 528, 530, 529, 531, 531, 532, 530, 532, 531, 533, 533, 534, 532,
        526, 535, 536, 536, 527, 526, 527, 536, 537, 537, 529, 527, 529, 537, 538, 538, 531, 529, 531, 538, 539, 539, 533, 531,
        535, 540, 541, 541, 536, 535, 536, 541, 542, 542, 537, 536, 537, 542, 543, 543, 538, 537, 538, 543, 544, 544, 539, 538,
        540, 545, 546, 546, 541, 540, 541, 546, 547, 547, 542, 541, 542, 547, 548, 548, 543, 542, 543, 548, 549, 549, 544, 543,
        550, 551, 552, 552, 553, 550, 553, 552, 554, 554, 555, 553, 555, 554, 556, 556, 557, 555, 557, 556, 558, 558, 559, 557,
        551, 560, 561, 561, 552, 551, 552, 561, 562, 562, 554, 552, 554, 562, 563, 563, 556, 554, 556, 563, 564, 564, 558, 556,
        560, 565, 566, 566, 561, 560, 561, 566, 567, 567, 562, 561, 562, 567, 568, 568, 563, 562, 563, 568, 569, 569, 564, 563,
        565, 570, 571, 571, 566, 565, 566, 571, 572, 572, 567, 566, 567, 572, 573, 573, 568, 567, 568, 573, 574, 574, 569, 568,
        575, 576, 577, 577, 578, 575, 578, 577, 579, 579, 580, 578, 580, 579, 581, 581, 582, 580, 582, 581, 583, 583, 584, 582,
        576, 585, 586, 586, 577, 576, 577, 586, 587, 587, 579, 577, 579, 587, 588, 588, 581, 579, 581, 588, 589, 589, 583, 581,
        585, 590, 591, 591, 586, 585, 586, 591, 592, 592, 587, 586, 587, 592, 593, 593, 588, 587, 588, 593, 594, 594, 589, 588,
        590, 595, 596, 596, 591, 590, 591, 596, 597, 597, 592, 591, 592, 597, 598, 598, 593, 592, 593, 598, 599, 599, 594, 593,
        600, 601, 602, 602, 603, 600, 603, 602, 604, 604, 605, 603, 605, 604, 606, 606, 607, 605, 607, 606, 608, 608, 609, 607,
        601, 610, 611, 611, 602, 601, 602, 611, 612, 612, 604, 602, 604, 612, 613, 613, 606, 604, 606, 613, 614, 614, 608, 606,
        610, 615, 616, 616, 611, 610, 611, 616, 617, 617, 612, 611, 612, 617, 618, 618, 613, 612, 613, 618, 619, 619, 614, 613,
        615, 620, 621, 621, 616, 615, 616, 621, 622, 622, 617, 616, 617, 622, 623, 623, 618, 617, 618, 623, 624, 624, 619, 618,
        625, 626, 627, 627, 628, 625, 628, 627, 629, 629, 630, 628, 630, 629, 631, 631, 632, 630, 632, 631, 633, 633, 634, 632,
        626, 635, 636, 636, 627, 626, 627, 636, 637, 637, 629, 627, 629, 637, 638, 638, 631, 629, 631, 638, 639, 639, 633, 631,
        635, 640, 641, 641, 636, 635, 636, 641, 642, 642, 637, 636, 637, 642, 643, 643, 638, 637, 638, 643, 644, 644, 639, 638,
        640, 645, 646, 646, 641, 640, 641, 646, 647, 647, 642, 641, 642, 647, 648, 648, 643, 642, 643, 648, 649, 649, 644, 643,
        650, 651, 652, 652, 653, 650, 653, 652, 654, 654, 655, 653, 655, 654, 656, 656, 657, 655, 657, 656, 658, 658, 659, 657,
        651, 660, 661, 661, 652, 651, 652, 661, 662, 662, 654, 652, 654, 662, 663, 663, 656, 654, 656, 663, 664, 664, 658, 656,
        660, 665, 666, 666, 661, 660, 661, 666, 667, 667, 662, 661, 662, 667, 668, 668, 663, 662, 663, 668, 669, 669, 664, 663,
        665, 670, 671, 671, 666, 665, 666, 671, 672, 672, 667, 666, 667, 672, 673, 673, 668, 667, 668, 673, 674, 674, 669, 668,
        675, 676, 677, 677, 678, 675, 678, 677, 679, 679, 680, 678, 680, 679, 681, 681, 682, 680, 682, 681, 683, 683, 684, 682,
        676, 685, 686, 686, 677, 676, 677, 686, 687, 687, 679, 677, 679, 687, 688, 688, 681, 679, 681, 688, 689, 689, 683, 681,
        685, 690, 691, 691, 686, 685, 686, 691, 692, 692, 687, 686, 687, 692, 693, 693, 688, 687, 688, 693, 694, 694, 689, 688,
        690, 695, 696, 696, 691, 690, 691, 696, 697, 697, 692, 691, 692, 697, 698, 698, 693, 692, 693, 698, 699, 699, 694, 693,
        700, 701, 702, 702, 703, 700, 703, 702, 704, 704, 705, 703, 705, 704, 706, 706, 707, 705, 707, 706, 708, 708, 709, 707,
        701, 710, 711, 711, 702, 701, 702, 711, 712, 712, 704, 702, 704, 712, 713, 713, 706, 704, 706, 713, 714, 714, 708, 706,
        710, 715, 716, 716, 711, 710, 711, 716, 717, 717, 712, 711, 712, 717, 718, 718, 713, 712, 713, 718, 719, 719, 714, 713,
        715, 720, 721, 721, 716, 715, 716, 721, 722, 722, 717, 716, 717, 722, 723, 723, 718, 717, 718, 723, 724, 724, 719, 718,
        725, 726, 727, 727, 728, 725, 728, 727, 729, 729, 730, 728, 730, 729, 731, 731, 732, 730, 732, 731, 733, 733, 734, 732,
        726, 735, 736, 736, 727, 726, 727, 736, 737, 737, 729, 727, 729, 737, 738, 738, 731, 729, 731, 738, 739, 739, 733, 731,
        735, 740, 741, 741, 736, 735, 736, 741, 742, 742, 737, 736, 737, 742, 743, 743, 738, 737, 738, 743, 744, 744, 739, 738,
        740, 745, 746, 746, 741, 740, 741, 746, 747, 747, 742, 741, 742, 747, 748, 748, 743, 742, 743, 748, 749, 749, 744, 743,
        750, 751, 752, 752, 753, 750, 753, 752, 754, 754, 755, 753, 755, 754, 756, 756, 757, 755, 757, 756, 758, 758, 759, 757,
        751, 760, 761, 761, 752, 751, 752, 761, 762, 762, 754, 752, 754, 762, 763, 763, 756, 754, 756, 763, 764, 764, 758, 756,
        760, 765, 766, 766, 761, 760, 761, 766, 767, 767, 762, 761, 762, 767, 768, 768, 763, 762, 763, 768, 769, 769, 764, 763,
        765, 770, 771, 771, 766, 765, 766, 771, 772, 772, 767, 766, 767, 772, 773, 773, 768, 767, 768, 773, 774, 774, 769, 768,
        775, 776, 777, 777, 778, 775, 778, 777, 779, 779, 780, 778, 780, 779, 781, 781, 782, 780, 782, 781, 783, 783, 784, 782,
        776, 785, 786, 786, 777, 776, 777, 786, 787, 787, 779, 777, 779, 787, 788, 788, 781, 779, 781, 788, 789, 789, 783, 781,
        785, 790, 791, 791, 786, 785, 786, 791, 792, 792, 787, 786, 787, 792, 793, 793, 788, 787, 788, 793, 794, 794, 789, 788,
        790, 795, 796, 796, 791, 790, 791, 796, 797, 797, 792, 791, 792, 797, 798, 798, 793, 792, 793, 798, 799, 799, 794, 793 };