teapot.js

/**
 * teapot.js
 * 
 * @fileoverview Manages buffers, arrays, and other data related to teapot.
 * @author Po-Han Huang <phuang17@illinois.edu>
 */

/** Identification prefix for teapot shader. */
var TEAPOT_PREFIX = "teapot";

/** GL buffers for teapots. */
var teapotPositionBuffer;
var teapotIndexBuffer;
var teapotNormalBuffer;

/** Data array for teapots. */
var teapotPositionArray = [];
var teapotIndexArray = [];
var teapotNormalArray = [];

/** Shader program for teapots. */
var teapotShaderProgram;
/** Variable locations in shader program. */
var teapotLocations = {};
/** Texture of normal map. */
var normalTexture;

/** Model-to-world matrix of the teapot. */
var teapotModelMatrix = mat4.create();
/** Rotation angle of teapot. */
var teapotAngle = degToRad(200);
/** Quaternion of teapot's rotation. */
var teapotQuat = quat.create();
/** Rotation speed of teapot */
var teapotAngleStep = degToRad(-0.5);

/** Model-to-World scale of teapot */
var TEAPOT_SCALE = vec3.fromValues(0.15,0.15,0.15);
/** Model-to-World translation of teapot */
var TEAPOT_TRANSLATION = vec3.fromValues(0.0,-0.2,0.0);

/** Settings */
var lightEnable = 1.0;
var normalEnable = 1.0;
var reflectionEnable = 1.0;
var bumpiness = 25.0

/** Lighting parameters */
/** Parallel light source */
var LIGHT_DIRECTION = vec3.fromValues(-Math.cos(degToRad(40)), Math.sin(degToRad(40)), 0.0);
/** White ambient light when reflection is on/off. */
var ENV_AMBIENT_LIGHT_ON = vec3.fromValues(0.08, 0.08, 0.08);
var ENV_AMBIENT_LIGHT_OFF = vec3.fromValues(0.8, 0.8, 0.8);
/** Soft warm sunlight (RGB = 253,184,19) for diffuse light if light is enabled. */
var DIFFUSE_LIGHT_INIT = vec3.fromValues(0.2*253/255, 0.2*184/255, 0.2*19/255);
/** Soft warm sunlight (RGB = 253,184,19) for specular light if light is enabled. */
var SPECULAR_LIGHT_INIT = vec3.fromValues(1.0*253/255, 1.0*184/255, 1.0*19/255);

/** Environment ambient light (based on whether reflection is enabled).*/
var environment_ambient = ENV_AMBIENT_LIGHT_ON;
/** Actual light (subject to changed by interfaces. */
var ambient_light = vec3.clone(environment_ambient);
var diffuse_light = vec3.clone(DIFFUSE_LIGHT_INIT);
var specular_light = vec3.clone(SPECULAR_LIGHT_INIT);

/** Initialization of teapot.js */
function teapotInit(){

  /** Register shaders, draw calls, animate calls. */
  shaderPrefix.push(TEAPOT_PREFIX);
  shaderInit[TEAPOT_PREFIX] = teapotShaderInit;
  bufferInit[TEAPOT_PREFIX] = teapotBufferInit;
  drawFunctions[TEAPOT_PREFIX] = teapotDraw;
  animateFunctions[TEAPOT_PREFIX] = teapotAnimate;

  /** Initialize teapot and normal map. */
  teapotGenerateShape();
  setupNormalMap();

}

/** Initialize teapot's shader programs and variable locations. */
function teapotShaderInit(){
  teapotShaderProgram = shaderPrograms[TEAPOT_PREFIX];

  /** Attributes */
  teapotLocations["aVertexPosition"] = gl.getAttribLocation(teapotShaderProgram, "aVertexPosition");
  teapotLocations["aVertexNormal"] = gl.getAttribLocation(teapotShaderProgram, "aVertexNormal");

  /** Uniforms */
  teapotLocations["uPMatrix"] = gl.getUniformLocation(teapotShaderProgram, "uPMatrix");
  teapotLocations["uMVMatrix"] = gl.getUniformLocation(teapotShaderProgram, "uMVMatrix");
  teapotLocations["uModelMatrix"] = gl.getUniformLocation(teapotShaderProgram, "uModelMatrix");
  teapotLocations["uEnv"] = gl.getUniformLocation(teapotShaderProgram, "uEnv");
  teapotLocations["uNormalMap"] = gl.getUniformLocation(teapotShaderProgram, "uNormalMap");
  teapotLocations["uNormalEnable"] = gl.getUniformLocation(teapotShaderProgram, "uNormalEnable");
  teapotLocations["uReflectionEnable"] = gl.getUniformLocation(teapotShaderProgram, "uReflectionEnable");
  teapotLocations["uBumpiness"] = gl.getUniformLocation(teapotShaderProgram, "uBumpiness");

  teapotLocations["uViewOrigin"] = gl.getUniformLocation(teapotShaderProgram, "uViewOrigin");
  teapotLocations["uLightDirection"] = gl.getUniformLocation(teapotShaderProgram, "uLightDirection");
  teapotLocations["uAmbientLight"] = gl.getUniformLocation(teapotShaderProgram, "uAmbientLight");
  teapotLocations["uDiffuseLight"] = gl.getUniformLocation(teapotShaderProgram, "uDiffuseLight");
  teapotLocations["uSpecularLight"] = gl.getUniformLocation(teapotShaderProgram, "uSpecularLight");
}

/** Initialize teapot's buffer. */
function teapotBufferInit(){

  /** Create buffers. */
  teapotPositionBuffer = gl.createBuffer();
  teapotIndexBuffer = gl.createBuffer();
  teapotNormalBuffer = gl.createBuffer();

  /** Bind buffers. */
  teapotPositionBuffer.itemSize = 3;
  teapotPositionBuffer.numOfItems = teapotPositionArray.length / teapotPositionBuffer.itemSize;
  gl.bindBuffer(gl.ARRAY_BUFFER, teapotPositionBuffer);
  gl.bufferData(gl.ARRAY_BUFFER, new Float32Array(teapotPositionArray), gl.STATIC_DRAW);
  
  teapotIndexBuffer.itemSize = 1;
  teapotIndexBuffer.numOfItems = teapotIndexArray.length / teapotIndexBuffer.itemSize;
  gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, teapotIndexBuffer);
  gl.bufferData(gl.ELEMENT_ARRAY_BUFFER, new Int16Array(teapotIndexArray), gl.STATIC_DRAW);

  teapotNormalBuffer.itemSize = 3;
  teapotNormalBuffer.numOfItems = teapotNormalArray.length / teapotNormalBuffer.itemSize;
  gl.bindBuffer(gl.ARRAY_BUFFER, teapotNormalBuffer);
  gl.bufferData(gl.ARRAY_BUFFER, new Float32Array(teapotNormalArray), gl.STATIC_DRAW);
  
}

/** Airplane draw call */
function teapotDraw(){

  /** Update lights based on interface settings. */
  vec3.scale(ambient_light, environment_ambient, lightEnable);
  vec3.scale(diffuse_light, DIFFUSE_LIGHT_INIT, lightEnable);
  vec3.scale(specular_light, SPECULAR_LIGHT_INIT, lightEnable);

  /** Setup variables. */
  gl.useProgram(teapotShaderProgram);

  gl.bindBuffer(gl.ARRAY_BUFFER, teapotPositionBuffer);
  gl.enableVertexAttribArray(teapotLocations["aVertexPosition"]);
  gl.vertexAttribPointer(teapotLocations["aVertexPosition"], teapotPositionBuffer.itemSize, gl.FLOAT, false, 0, 0);
  
  gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, teapotIndexBuffer);
  
  gl.bindBuffer(gl.ARRAY_BUFFER, teapotNormalBuffer);
  gl.enableVertexAttribArray(teapotLocations["aVertexNormal"]);
  gl.vertexAttribPointer(teapotLocations["aVertexNormal"], teapotNormalBuffer.itemSize, gl.FLOAT, false, 0, 0);

  gl.uniformMatrix4fv(teapotLocations["uPMatrix"], false, pMatrix);
  gl.uniformMatrix4fv(teapotLocations["uMVMatrix"], false, mvMatrix);
  gl.uniformMatrix4fv(teapotLocations["uModelMatrix"], false, teapotModelMatrix);
  gl.uniform3fv(teapotLocations["uViewOrigin"], viewOrigin);
  gl.uniform1i(teapotLocations["uEnv"], 0);
  gl.uniform1i(teapotLocations["uNormalMap"], 1);
  gl.uniform1f(teapotLocations["uNormalEnable"], normalEnable);
  gl.uniform1f(teapotLocations["uReflectionEnable"], reflectionEnable);
  gl.uniform1f(teapotLocations["uBumpiness"], bumpiness);

  gl.uniform3fv(teapotLocations["uLightDirection"], LIGHT_DIRECTION);
  gl.uniform3fv(teapotLocations["uAmbientLight"], ambient_light);
  gl.uniform3fv(teapotLocations["uDiffuseLight"], diffuse_light);
  gl.uniform3fv(teapotLocations["uSpecularLight"], specular_light);

  /** Draw! */
  gl.drawElements(gl.TRIANGLES, teapotIndexBuffer.numOfItems, gl.UNSIGNED_SHORT, 0);

  /** Destructor */
  gl.disableVertexAttribArray(teapotLocations["aVertexPosition"]);
  gl.disableVertexAttribArray(teapotLocations["aVertexNormal"]);
  
}

/**
 * Airplane animate call
 *
 * @param {float} lapse timelapse since last frame in sec
 */
function teapotAnimate(){
  /** Update model-to-world matrix. */
  teapotAngle += teapotAngleStep;
  quat.setAxisAngle(teapotQuat, Y_AXIS, teapotAngle);
  mat4.fromRotationTranslationScale(teapotModelMatrix, teapotQuat, TEAPOT_TRANSLATION, TEAPOT_SCALE);
}

/** Generate teapot model. */
function teapotGenerateShape(){

  /** Generate vertices and indices. */
  teapotSetPositionAndIndex();

  /** Generate normals. */
  var summation = teapotNormalArray;
  var count = [];
  var numVertices = teapotPositionArray.length / 3;
  var numTriangles = teapotIndexArray.length / 3;
  var index = function(i,x){return 3*i+x;}

  /** Initialize accumulator. */
  for(var i = 0; i < numVertices * 3; i++){
    summation[i] = 0.0;
  }

  /** Initialize counter. */
  for(var i = 0; i < numVertices; i++){
    count[i] = 0;
  }

  /** Indices in obj file starts at 1, so fix it! */
  for(var i = 0; i < numTriangles; i++){
    teapotIndexArray[index(i,0)] -= 1;
    teapotIndexArray[index(i,1)] -= 1;
    teapotIndexArray[index(i,2)] -= 1;
  }

  /** Loop through all faces. */
  for(var i = 0; i < numTriangles; i++){
    var indices = [teapotIndexArray[index(i,0)], teapotIndexArray[index(i,1)], teapotIndexArray[index(i,2)]];
    var vertices = [vec3.fromValues(teapotPositionArray[index(indices[0],0)],
                                    teapotPositionArray[index(indices[0],1)],
                                    teapotPositionArray[index(indices[0],2)]),
                    vec3.fromValues(teapotPositionArray[index(indices[1],0)],
                                    teapotPositionArray[index(indices[1],1)],
                                    teapotPositionArray[index(indices[1],2)]),
                    vec3.fromValues(teapotPositionArray[index(indices[2],0)],
                                    teapotPositionArray[index(indices[2],1)],
                                    teapotPositionArray[index(indices[2],2)])
                    ];

    /** Calculate the normal of the face. */
    var v1 = vec3.create();
    var v2 = vec3.create();
    var normal = vec3.create();
    vec3.subtract(v1, vertices[1], vertices[0]);
    vec3.subtract(v2, vertices[2], vertices[0]);
    vec3.cross(normal, v1, v2);
    vec3.normalize(normal, normal);

    /** Update the normal of three vertices. */
    for(var v = 0; v < 3; v++){
      var origNormal = vec3.fromValues( summation[index(indices[v],0)],
                                        summation[index(indices[v],1)],
                                        summation[index(indices[v],2)]);
      var origCount = count[indices[v]];
      summation[index(indices[v],0)] = (origNormal[0] * origCount + normal[0]) / (origCount + 1.0);
      summation[index(indices[v],1)] = (origNormal[1] * origCount + normal[1]) / (origCount + 1.0);
      summation[index(indices[v],2)] = (origNormal[2] * origCount + normal[2]) / (origCount + 1.0);
      count[indices[v]] = origCount + 1;
    }
  }
}

/** Setup normal map. */
function setupNormalMap() {

  /** Set up texture. */
  normalTexture = gl.createTexture();
  gl.activeTexture(gl.TEXTURE1);
  gl.bindTexture(gl.TEXTURE_2D, normalTexture);

  /** Load normal map. */
  var img = new Image();
  img.src = normalMap;
  img.onload = function (){
    gl.activeTexture(gl.TEXTURE1);
    gl.texImage2D(gl.TEXTURE_2D, 0, gl.RGBA, gl.RGBA, gl.UNSIGNED_BYTE, img);
    gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MAG_FILTER, gl.LINEAR);
    gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MIN_FILTER, gl.LINEAR);
    gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_S, gl.CLAMP_TO_EDGE);
    gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_T, gl.CLAMP_TO_EDGE);
  }
}

/** Setup the vertices and indices of teapot.
 *
 *  This is extracted from teapot.obj included in the same directory.
 *  Provided on course website: https://courses.engr.illinois.edu/cs418/fa2016/MP/mp3.html
 */
function teapotSetPositionAndIndex(){
teapotPositionArray = [
1.38137,2.45469,-9.07128e-006,
1.4,2.4,-8.86918e-006,
1.35074,2.4,0.375917,
1.33276,2.45469,0.370913,
1.38426,2.4875,-9.19253e-006,
1.33555,2.4875,0.37169,
1.40312,2.49844,-9.23296e-006,
1.35376,2.49844,0.376756,
1.43241,2.4875,-9.19253e-006,
1.38201,2.4875,0.384619,
1.46655,2.45469,-9.07128e-006,
1.41495,2.45469,0.393787,
1.5,2.4,-8.86918e-006,
1.44722,2.4,0.402769,
1.21126,2.4,0.711398,
1.19514,2.45469,0.701929,
1.19764,2.4875,0.7034,
1.21396,2.49844,0.712986,
1.2393,2.4875,0.727866,
1.26884,2.45469,0.745216,
1.29778,2.4,0.762213,
0.994,2.4,0.993991,
0.98077,2.45469,0.980761,
0.982824,2.4875,0.982815,
0.996219,2.49844,0.99621,
1.01701,2.4875,1.017,
1.04125,2.45469,1.04124,
1.065,2.4,1.06499,
0.711407,2.4,1.21125,
0.701938,2.45469,1.19513,
0.703409,2.4875,1.19763,
0.712995,2.49844,1.21395,
0.727875,2.4875,1.23929,
0.745225,2.45469,1.26883,
0.762222,2.4,1.29777,
0.375926,2.40001,1.35073,
0.370922,2.45469,1.33275,
0.371699,2.4875,1.33554,
0.376765,2.49845,1.35375,
0.384628,2.4875,1.382,
0.393796,2.4547,1.41494,
0.402778,2.40001,1.44721,
0,2.40001,1.39999,
0,2.45469,1.38136,
0,2.4875,1.38425,
0,2.49845,1.40311,
0,2.48751,1.4324,
0,2.4547,1.46654,
0,2.40001,1.49999,
-0.375926,2.40001,1.35073,
-0.370922,2.45469,1.33275,
-0.371699,2.4875,1.33554,
-0.376765,2.49845,1.35375,
-0.384628,2.4875,1.382,
-0.393796,2.4547,1.41494,
-0.402778,2.40001,1.44721,
-0.711407,2.4,1.21125,
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-0.762222,2.4,1.29777,
-0.994,2.4,0.993991,
-0.98077,2.45469,0.980761,
-0.982824,2.4875,0.982815,
-0.996219,2.49844,0.99621,
-1.01701,2.4875,1.017,
-1.04125,2.45469,1.04124,
-1.065,2.4,1.06499,
-1.21126,2.4,0.711398,
-1.19514,2.45469,0.701929,
-1.19764,2.4875,0.7034,
-1.21396,2.49844,0.712986,
-1.2393,2.4875,0.727866,
-1.26884,2.45469,0.745216,
-1.29778,2.4,0.762213,
-1.35074,2.4,0.375917,
-1.33276,2.45469,0.370913,
-1.33555,2.4875,0.37169,
-1.35376,2.49844,0.376756,
-1.38201,2.4875,0.384619,
-1.41495,2.45469,0.393787,
-1.44722,2.4,0.402769,
-1.4,2.4,-8.86918e-006,
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-1.38426,2.4875,-9.19253e-006,
-1.40312,2.49844,-9.23296e-006,
-1.43241,2.4875,-9.19253e-006,
-1.46655,2.45469,-9.07128e-006,
-1.5,2.4,-8.86918e-006,
-1.35074,2.4,-0.375935,
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-1.33555,2.4875,-0.371708,
-1.35376,2.49844,-0.376774,
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-1.41495,2.45469,-0.393805,
-1.44722,2.4,-0.402787,
-1.21126,2.4,-0.711416,
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-1.19764,2.4875,-0.703418,
-1.21396,2.49844,-0.713004,
-1.2393,2.4875,-0.727884,
-1.26884,2.45469,-0.745234,
-1.29778,2.4,-0.762231,
-0.994,2.4,-0.994009,
-0.98077,2.45469,-0.980779,
-0.982824,2.4875,-0.982833,
-0.996219,2.49844,-0.996228,
-1.01701,2.4875,-1.01702,
-1.04125,2.45469,-1.04126,
-1.065,2.4,-1.06501,
-0.711407,2.4,-1.21127,
-0.701938,2.45469,-1.19515,
-0.703409,2.4875,-1.19765,
-0.712995,2.49844,-1.21397,
-0.727875,2.4875,-1.23931,
-0.745225,2.45469,-1.26885,
-0.762222,2.4,-1.29779,
-0.375926,2.4,-1.35075,
-0.370922,2.45468,-1.33277,
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-0.376765,2.49844,-1.35377,
-0.384628,2.48749,-1.38202,
-0.393796,2.45468,-1.41496,
-0.402778,2.39999,-1.44723,
0,2.39999,-1.40001,
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0,2.49843,-1.40313,
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0.376765,2.49844,-1.35377,
0.384628,2.48749,-1.38202,
0.393796,2.45468,-1.41496,
0.402778,2.39999,-1.44723,
0.711407,2.4,-1.21127,
0.701938,2.45469,-1.19515,
0.703409,2.4875,-1.19765,
0.712995,2.49844,-1.21397,
0.727875,2.4875,-1.23931,
0.745225,2.45469,-1.26885,
0.762222,2.4,-1.29779,
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0.996219,2.49844,-0.996228,
1.01701,2.4875,-1.01702,
1.04125,2.45469,-1.04126,
1.065,2.4,-1.06501,
1.21126,2.4,-0.711416,
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1.19764,2.4875,-0.703418,
1.21396,2.49844,-0.713004,
1.2393,2.4875,-0.727884,
1.26884,2.45469,-0.745234,
1.29778,2.4,-0.762231,
1.35074,2.4,-0.375935,
1.33276,2.45469,-0.370931,
1.33555,2.4875,-0.371708,
1.35376,2.49844,-0.376774,
1.38201,2.4875,-0.384637,
1.41495,2.45469,-0.393805,
1.44722,2.4,-0.402787,
1.62384,2.13785,-7.9004e-006,
1.56671,2.13785,0.436024,
1.74074,1.87778,-6.93932e-006,
1.67949,1.87778,0.467414,
1.84375,1.62187,-5.9936e-006,
1.77888,1.62188,0.495075,
1.92593,1.37222,-5.07103e-006,
1.85816,1.37222,0.517142,
1.98032,1.1309,-4.17923e-006,
1.91065,1.1309,0.53175,
2,0.9,-3.32594e-006,
1.92963,0.900002,0.537034,
1.40492,2.13785,0.825145,
1.50606,1.87778,0.884547,
1.59519,1.62188,0.936892,
1.66628,1.37222,0.978651,
1.71335,1.1309,1.0063,
1.73037,0.900004,1.0163,
1.15293,2.13785,1.15292,
1.23593,1.87778,1.23592,
1.30906,1.62187,1.30905,
1.36741,1.37223,1.3674,
1.40603,1.13091,1.40603,
1.42,0.900005,1.42,
0.825153,2.13786,1.40491,
0.884554,1.87779,1.50605,
0.936898,1.62189,1.59518,
0.978656,1.37223,1.66627,
1.0063,1.13091,1.71335,
1.0163,0.900006,1.73037,
0.436032,2.13786,1.5667,
0.467421,1.87779,1.67948,
0.495081,1.62188,1.77887,
0.517147,1.37223,1.85815,
0.531754,1.13091,1.91065,
0.537037,0.900007,1.92963,
0,2.13786,1.62383,
0,1.87779,1.74073,
0,1.62188,1.84374,
0,1.37223,1.92592,
0,1.13091,1.98032,
0,0.900007,2,
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-0.537037,0.900007,1.92963,
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-1.23593,1.87778,1.23592,
-1.30906,1.62187,1.30905,
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-1.40603,1.13091,1.40603,
-1.42,0.900005,1.42,
-1.40492,2.13785,0.825145,
-1.50606,1.87778,0.884547,
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431,425,424,
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425,431,432,
433,427,288,
288,294,433,
434,428,427,
427,433,434,
435,429,428,
428,434,435,
436,430,429,
429,435,436,
437,431,430,
430,436,437,
438,432,431,
431,437,438,
439,433,294,
294,300,439,
440,434,433,
433,439,440,
441,435,434,
434,440,441,
442,436,435,
435,441,442,
443,437,436,
436,442,443,
444,438,437,
437,443,444,
445,439,306,
300,306,439,
446,440,445,
439,445,440,
447,441,446,
440,446,441,
448,442,447,
441,447,442,
449,443,448,
442,448,443,
450,444,449,
443,449,444,
451,445,312,
306,312,445,
452,446,451,
445,451,446,
453,447,452,
446,452,447,
454,448,453,
447,453,448,
455,449,454,
448,454,449,
456,450,455,
449,455,450,
313,451,179,
312,179,451,
315,452,313,
451,313,452,
317,453,315,
452,315,453,
319,454,317,
453,317,454,
321,455,319,
454,319,455,
323,456,321,
455,321,456,
457,459,460,
461,460,459,
460,461,462,
463,462,461,
462,463,464,
465,464,463,
464,465,466,
467,466,465,
466,467,323,
456,323,467,
459,468,461,
469,461,468,
461,469,463,
470,463,469,
463,470,465,
471,465,470,
465,471,467,
472,467,471,
467,472,456,
450,456,472,
468,473,469,
474,469,473,
469,474,470,
475,470,474,
470,475,471,
476,471,475,
471,476,472,
477,472,476,
472,477,450,
444,450,477,
473,478,479,
479,474,473,
474,479,480,
480,475,474,
475,480,481,
481,476,475,
476,481,482,
482,477,476,
477,482,438,
438,444,477,
478,483,484,
484,479,478,
479,484,485,
485,480,479,
480,485,486,
486,481,480,
481,486,487,
487,482,481,
482,487,432,
432,438,482,
483,488,489,
489,484,483,
484,489,490,
490,485,484,
485,490,491,
491,486,485,
486,491,492,
492,487,486,
487,492,426,
426,432,487,
488,493,489,
494,489,493,
489,494,490,
495,490,494,
490,495,491,
496,491,495,
491,496,492,
497,492,496,
492,497,426,
420,426,497,
493,498,494,
499,494,498,
494,499,495,
500,495,499,
495,500,496,
501,496,500,
496,501,497,
502,497,501,
497,502,420,
414,420,502,
498,503,499,
504,499,503,
499,504,500,
505,500,504,
500,505,501,
506,501,505,
501,506,502,
507,502,506,
502,507,414,
408,414,507,
503,508,509,
509,504,503,
504,509,510,
510,505,504,
505,510,511,
511,506,505,
506,511,512,
512,507,506,
507,512,402,
402,408,507,
508,513,514,
514,509,508,
509,514,515,
515,510,509,
510,515,516,
516,511,510,
511,516,517,
517,512,511,
512,517,396,
396,402,512,
513,518,519,
519,514,513,
514,519,520,
520,515,514,
515,520,521,
521,516,515,
516,521,522,
522,517,516,
517,522,390,
390,396,517,
518,523,519,
524,519,523,
519,524,520,
525,520,524,
520,525,521,
526,521,525,
521,526,522,
527,522,526,
522,527,390,
384,390,527,
523,528,524,
529,524,528,
524,529,525,
530,525,529,
525,530,526,
531,526,530,
526,531,527,
532,527,531,
527,532,384,
378,384,532,
528,533,529,
534,529,533,
529,534,530,
535,530,534,
530,535,531,
536,531,535,
531,536,532,
537,532,536,
532,537,378,
372,378,537,
533,538,539,
539,534,533,
534,539,540,
540,535,534,
535,540,541,
541,536,535,
536,541,542,
542,537,536,
537,542,366,
366,372,537,
538,543,544,
544,539,538,
539,544,545,
545,540,539,
540,545,546,
546,541,540,
541,546,547,
547,542,541,
542,547,360,
360,366,542,
543,548,549,
549,544,543,
544,549,550,
550,545,544,
545,550,551,
551,546,545,
546,551,552,
552,547,546,
547,552,354,
354,360,547,
548,553,549,
554,549,553,
549,554,550,
555,550,554,
550,555,551,
556,551,555,
551,556,552,
557,552,556,
552,557,354,
348,354,557,
553,558,554,
559,554,558,
554,559,555,
560,555,559,
555,560,556,
561,556,560,
556,561,557,
562,557,561,
557,562,348,
342,348,562,
558,563,559,
564,559,563,
559,564,560,
565,560,564,
560,565,561,
566,561,565,
561,566,562,
567,562,566,
562,567,342,
336,342,567,
563,568,569,
569,564,563,
564,569,570,
570,565,564,
565,570,571,
571,566,565,
566,571,572,
572,567,566,
567,572,330,
330,336,567,
568,573,574,
574,569,568,
569,574,575,
575,570,569,
570,575,576,
576,571,570,
571,576,577,
577,572,571,
572,577,324,
324,330,572,
573,457,460,
460,574,573,
574,460,462,
462,575,574,
575,462,464,
464,576,575,
576,464,466,
466,577,576,
577,466,323,
323,324,577,
581,578,580,
579,580,578,
583,581,582,
580,582,581,
585,583,584,
582,584,583,
587,585,584,
584,586,587,
589,587,586,
586,588,589,
591,589,588,
588,590,591,
593,591,592,
590,592,591,
595,593,594,
592,594,593,
597,595,596,
594,596,595,
599,597,596,
596,598,599,
601,599,598,
598,600,601,
603,601,600,
600,602,603,
605,603,604,
602,604,603,
607,605,606,
604,606,605,
609,607,608,
606,608,607,
611,609,608,
608,610,611,
613,611,610,
610,612,613,
615,613,612,
612,614,615,
617,615,616,
614,616,615,
619,617,618,
616,618,617,
621,619,620,
618,620,619,
623,621,620,
620,622,623,
625,623,622,
622,624,625,
578,625,624,
624,579,578,
627,626,581,
578,581,626,
629,628,627,
626,627,628,
631,630,629,
628,629,630,
633,632,631,
630,631,632,
635,634,633,
632,633,634,
637,636,635,
634,635,636,
638,627,583,
581,583,627,
639,629,638,
627,638,629,
640,631,639,
629,639,631,
641,633,640,
631,640,633,
642,635,641,
633,641,635,
643,637,642,
635,642,637,
644,638,585,
583,585,638,
645,639,644,
638,644,639,
646,640,645,
639,645,640,
647,641,646,
640,646,641,
648,642,647,
641,647,642,
649,643,648,
642,648,643,
650,644,585,
585,587,650,
651,645,644,
644,650,651,
652,646,645,
645,651,652,
653,647,646,
646,652,653,
654,648,647,
647,653,654,
655,649,648,
648,654,655,
656,650,587,
587,589,656,
657,651,650,
650,656,657,
658,652,651,
651,657,658,
659,653,652,
652,658,659,
660,654,653,
653,659,660,
661,655,654,
654,660,661,
662,656,589,
589,591,662,
663,657,656,
656,662,663,
664,658,657,
657,663,664,
665,659,658,
658,664,665,
666,660,659,
659,665,666,
667,661,660,
660,666,667,
668,662,593,
591,593,662,
669,663,668,
662,668,663,
670,664,669,
663,669,664,
671,665,670,
664,670,665,
672,666,671,
665,671,666,
673,667,672,
666,672,667,
674,668,595,
593,595,668,
675,669,674,
668,674,669,
676,670,675,
669,675,670,
677,671,676,
670,676,671,
678,672,677,
671,677,672,
679,673,678,
672,678,673,
680,674,597,
595,597,674,
681,675,680,
674,680,675,
682,676,681,
675,681,676,
683,677,682,
676,682,677,
684,678,683,
677,683,678,
685,679,684,
678,684,679,
686,680,597,
597,599,686,
687,681,680,
680,686,687,
688,682,681,
681,687,688,
689,683,682,
682,688,689,
690,684,683,
683,689,690,
691,685,684,
684,690,691,
692,686,599,
599,601,692,
693,687,686,
686,692,693,
694,688,687,
687,693,694,
695,689,688,
688,694,695,
696,690,689,
689,695,696,
697,691,690,
690,696,697,
698,692,601,
601,603,698,
699,693,692,
692,698,699,
700,694,693,
693,699,700,
701,695,694,
694,700,701,
702,696,695,
695,701,702,
703,697,696,
696,702,703,
704,698,605,
603,605,698,
705,699,704,
698,704,699,
706,700,705,
699,705,700,
707,701,706,
700,706,701,
708,702,707,
701,707,702,
709,703,708,
702,708,703,
710,704,607,
605,607,704,
711,705,710,
704,710,705,
712,706,711,
705,711,706,
713,707,712,
706,712,707,
714,708,713,
707,713,708,
715,709,714,
708,714,709,
716,710,609,
607,609,710,
717,711,716,
710,716,711,
718,712,717,
711,717,712,
719,713,718,
712,718,713,
720,714,719,
713,719,714,
721,715,720,
714,720,715,
722,716,609,
609,611,722,
723,717,716,
716,722,723,
724,718,717,
717,723,724,
725,719,718,
718,724,725,
726,720,719,
719,725,726,
727,721,720,
720,726,727,
728,722,611,
611,613,728,
729,723,722,
722,728,729,
730,724,723,
723,729,730,
731,725,724,
724,730,731,
732,726,725,
725,731,732,
733,727,726,
726,732,733,
734,728,613,
613,615,734,
735,729,728,
728,734,735,
736,730,729,
729,735,736,
737,731,730,
730,736,737,
738,732,731,
731,737,738,
739,733,732,
732,738,739,
740,734,617,
615,617,734,
741,735,740,
734,740,735,
742,736,741,
735,741,736,
743,737,742,
736,742,737,
744,738,743,
737,743,738,
745,739,744,
738,744,739,
746,740,619,
617,619,740,
747,741,746,
740,746,741,
748,742,747,
741,747,742,
749,743,748,
742,748,743,
750,744,749,
743,749,744,
751,745,750,
744,750,745,
752,746,621,
619,621,746,
753,747,752,
746,752,747,
754,748,753,
747,753,748,
755,749,754,
748,754,749,
756,750,755,
749,755,750,
757,751,756,
750,756,751,
758,752,621,
621,623,758,
759,753,752,
752,758,759,
760,754,753,
753,759,760,
761,755,754,
754,760,761,
762,756,755,
755,761,762,
763,757,756,
756,762,763,
764,758,623,
623,625,764,
765,759,758,
758,764,765,
766,760,759,
759,765,766,
767,761,760,
760,766,767,
768,762,761,
761,767,768,
769,763,762,
762,768,769,
626,764,625,
625,578,626,
628,765,764,
764,626,628,
630,766,765,
765,628,630,
632,767,766,
766,630,632,
634,768,767,
767,632,634,
636,769,768,
768,634,636,
770,771,773,
772,773,771,
774,770,775,
773,775,770,
777,776,774,
774,775,777,
779,778,777,
776,777,778,
781,780,779,
778,779,780,
783,782,781,
780,781,782,
773,772,785,
784,785,772,
775,773,786,
785,786,773,
777,775,787,
786,787,775,
788,779,777,
777,787,788,
789,781,788,
779,788,781,
790,783,789,
781,789,783,
785,784,792,
791,792,784,
786,785,793,
792,793,785,
787,786,794,
793,794,786,
795,788,787,
787,794,795,
796,789,795,
788,795,789,
797,790,796,
789,796,790,
792,791,799,
798,799,791,
793,792,800,
799,800,792,
794,793,801,
800,801,793,
802,795,794,
794,801,802,
803,796,802,
795,802,796,
804,797,803,
796,803,797,
799,798,806,
805,806,798,
800,799,807,
806,807,799,
801,800,808,
807,808,800,
809,802,801,
801,808,809,
810,803,809,
802,809,803,
811,804,810,
803,810,804,
806,805,813,
812,813,805,
807,806,814,
813,814,806,
815,808,814,
807,814,808,
816,809,815,
808,815,809,
817,810,816,
809,816,810,
818,811,817,
810,817,811,
819,820,813,
813,812,819,
820,821,814,
814,813,820,
822,815,814,
814,821,822,
823,816,815,
815,822,823,
824,817,816,
816,823,824,
825,818,817,
817,824,825,
826,827,820,
820,819,826,
827,828,821,
821,820,827,
828,829,822,
822,821,828,
830,823,829,
822,829,823,
831,824,823,
823,830,831,
832,825,824,
824,831,832,
833,834,827,
827,826,833,
834,835,828,
828,827,834,
835,836,829,
829,828,835,
837,830,836,
829,836,830,
838,831,830,
830,837,838,
839,832,831,
831,838,839,
840,841,834,
834,833,840,
841,842,835,
835,834,841,
842,843,836,
836,835,842,
844,837,843,
836,843,837,
845,838,837,
837,844,845,
846,839,838,
838,845,846,
847,848,841,
841,840,847,
848,849,842,
842,841,848,
849,850,843,
843,842,849,
851,844,850,
843,850,844,
852,845,844,
844,851,852,
853,846,845,
845,852,853,
771,770,848,
848,847,771,
770,774,849,
849,848,770,
776,850,774,
849,774,850,
778,851,850,
850,776,778,
780,852,851,
851,778,780,
782,853,852,
852,780,782,
855,854,783,
782,783,854,
857,856,854,
854,855,857,
859,858,856,
856,857,859,
861,860,858,
858,859,861,
863,862,860,
860,861,863,
865,864,862,
862,863,865,
866,855,783,
783,790,866,
867,857,855,
855,866,867,
868,859,857,
857,867,868,
869,861,859,
859,868,869,
870,863,861,
861,869,870,
871,865,870,
863,870,865,
872,866,790,
790,797,872,
873,867,866,
866,872,873,
874,868,867,
867,873,874,
875,869,874,
868,874,869,
876,870,875,
869,875,870,
877,871,876,
870,876,871,
878,872,797,
797,804,878,
879,873,872,
872,878,879,
880,874,873,
873,879,880,
881,875,880,
874,880,875,
882,876,881,
875,881,876,
883,877,882,
876,882,877,
884,878,804,
804,811,884,
885,879,878,
878,884,885,
886,880,879,
879,885,886,
887,881,880,
880,886,887,
888,882,881,
881,887,888,
889,883,888,
882,888,883,
890,884,811,
811,818,890,
891,885,884,
884,890,891,
892,886,885,
885,891,892,
893,887,886,
886,892,893,
894,888,887,
887,893,894,
895,889,888,
888,894,895,
896,890,825,
818,825,890,
897,891,896,
890,896,891,
898,892,897,
891,897,892,
899,893,898,
892,898,893,
900,894,899,
893,899,894,
901,895,900,
894,900,895,
902,896,832,
825,832,896,
903,897,902,
896,902,897,
904,898,903,
897,903,898,
905,899,904,
898,904,899,
906,900,905,
899,905,900,
907,901,900,
900,906,907,
908,902,839,
832,839,902,
909,903,908,
902,908,903,
910,904,909,
903,909,904,
911,905,904,
904,910,911,
912,906,905,
905,911,912,
913,907,906,
906,912,913,
914,908,846,
839,846,908,
915,909,914,
908,914,909,
916,910,915,
909,915,910,
917,911,910,
910,916,917,
918,912,911,
911,917,918,
919,913,912,
912,918,919,
920,914,853,
846,853,914,
921,915,920,
914,920,915,
922,916,921,
915,921,916,
923,917,922,
916,922,917,
924,918,923,
917,923,918,
925,919,918,
918,924,925,
854,920,853,
853,782,854,
856,921,854,
920,854,921,
858,922,856,
921,856,922,
860,923,858,
922,858,923,
862,924,860,
923,860,924,
864,925,862,
924,862,925,
927,928,929,
929,926,927,
926,929,931,
931,930,926,
930,931,933,
933,932,930,
932,933,935,
935,934,932,
934,935,937,
937,936,934,
936,937,938,
939,938,937,
940,941,928,
929,928,941,
929,941,942,
942,931,929,
931,942,943,
943,933,931,
933,943,944,
944,935,933,
935,944,937,
945,937,944,
937,945,939,
946,939,945,
947,948,940,
941,940,948,
941,948,949,
949,942,941,
942,949,943,
950,943,949,
943,950,944,
951,944,950,
944,951,945,
952,945,951,
945,952,946,
953,946,952,
954,955,947,
948,947,955,
948,955,956,
956,949,948,
949,956,950,
957,950,956,
950,957,951,
958,951,957,
951,958,952,
959,952,958,
952,959,953,
960,953,959,
954,961,962,
962,955,954,
955,962,956,
963,956,962,
956,963,957,
964,957,963,
957,964,958,
965,958,964,
958,965,959,
966,959,965,
959,966,960,
967,960,966,
961,968,962,
969,962,968,
962,969,963,
970,963,969,
963,970,964,
971,964,970,
964,971,965,
972,965,971,
965,972,966,
973,966,972,
966,973,967,
974,967,973,
968,975,976,
976,969,968,
969,976,977,
977,970,969,
970,977,978,
978,971,970,
971,978,979,
979,972,971,
972,979,980,
980,973,972,
973,980,981,
981,974,973,
975,982,976,
983,976,982,
976,983,984,
984,977,976,
977,984,985,
985,978,977,
978,985,986,
986,979,978,
979,986,987,
987,980,979,
980,987,988,
988,981,980,
983,982,989,
989,990,983,
983,990,984,
991,984,990,
984,991,992,
992,985,984,
985,992,993,
993,986,985,
986,993,994,
994,987,986,
987,994,995,
995,988,987,
990,989,996,
996,997,990,
990,997,991,
998,991,997,
991,998,999,
999,992,991,
992,999,1000,
1000,993,992,
993,1000,1001,
1001,994,993,
994,1001,1002,
1002,995,994,
997,996,1003,
1003,1004,997,
997,1004,998,
1005,998,1004,
998,1005,999,
1006,999,1005,
999,1006,1000,
1007,1000,1006,
1000,1007,1008,
1008,1001,1000,
1001,1008,1009,
1009,1002,1001,
1003,927,1004,
926,1004,927,
1004,926,1005,
930,1005,926,
1005,930,1006,
932,1006,930,
1006,932,1007,
934,1007,932,
1007,934,1008,
936,1008,934,
1008,936,938,
938,1009,1008,
938,939,1010,
1011,1010,939,
1010,1011,1012,
1013,1012,1011,
1012,1013,1014,
1015,1014,1013,
1017,1016,1014,
1014,1015,1017,
1019,1018,1016,
1016,1017,1019,
1021,1020,1018,
1018,1019,1021,
939,946,1011,
1022,1011,946,
1011,1022,1013,
1023,1013,1022,
1013,1023,1015,
1024,1015,1023,
1025,1017,1015,
1015,1024,1025,
1026,1019,1017,
1017,1025,1026,
1027,1021,1019,
1019,1026,1027,
946,953,1022,
1028,1022,953,
1022,1028,1023,
1029,1023,1028,
1023,1029,1024,
1030,1024,1029,
1031,1025,1024,
1024,1030,1031,
1032,1026,1025,
1025,1031,1032,
1033,1027,1026,
1026,1032,1033,
953,960,1028,
1034,1028,960,
1028,1034,1029,
1035,1029,1034,
1029,1035,1030,
1036,1030,1035,
1037,1031,1030,
1030,1036,1037,
1038,1032,1031,
1031,1037,1038,
1039,1033,1032,
1032,1038,1039,
960,967,1034,
1040,1034,967,
1034,1040,1035,
1041,1035,1040,
1035,1041,1036,
1042,1036,1041,
1043,1037,1036,
1036,1042,1043,
1044,1038,1037,
1037,1043,1044,
1045,1039,1038,
1038,1044,1045,
967,974,1040,
1046,1040,974,
1040,1046,1041,
1047,1041,1046,
1041,1047,1042,
1048,1042,1047,
1049,1043,1042,
1042,1048,1049,
1050,1044,1043,
1043,1049,1050,
1051,1045,1044,
1044,1050,1051,
974,981,1052,
1052,1046,974,
1046,1052,1053,
1053,1047,1046,
1047,1053,1054,
1054,1048,1047,
1055,1049,1054,
1048,1054,1049,
1056,1050,1055,
1049,1055,1050,
1057,1051,1056,
1050,1056,1051,
981,988,1058,
1058,1052,981,
1052,1058,1059,
1059,1053,1052,
1053,1059,1060,
1060,1054,1053,
1061,1055,1060,
1054,1060,1055,
1062,1056,1061,
1055,1061,1056,
1063,1057,1062,
1056,1062,1057,
988,995,1064,
1064,1058,988,
1058,1064,1065,
1065,1059,1058,
1059,1065,1066,
1066,1060,1059,
1067,1061,1066,
1060,1066,1061,
1068,1062,1067,
1061,1067,1062,
1069,1063,1068,
1062,1068,1063,
995,1002,1070,
1070,1064,995,
1064,1070,1071,
1071,1065,1064,
1065,1071,1072,
1072,1066,1065,
1073,1067,1072,
1066,1072,1067,
1074,1068,1073,
1067,1073,1068,
1075,1069,1074,
1068,1074,1069,
1002,1009,1076,
1076,1070,1002,
1070,1076,1077,
1077,1071,1070,
1071,1077,1078,
1078,1072,1071,
1079,1073,1078,
1072,1078,1073,
1080,1074,1079,
1073,1079,1074,
1081,1075,1080,
1074,1080,1075,
1009,938,1010,
1010,1076,1009,
1076,1010,1012,
1012,1077,1076,
1077,1012,1014,
1014,1078,1077,
1016,1079,1014,
1078,1014,1079,
1018,1080,1016,
1079,1016,1080,
1020,1081,1018,
1080,1018,1081,
1082,1083,1084,
1084,1083,1093,
1093,1083,1098,
1098,1083,1103,
1103,1083,1108,
1108,1083,1113,
1113,1083,1118,
1118,1083,1123,
1123,1083,1128,
1128,1083,1133,
1133,1083,1138,
1138,1083,1143,
1143,1083,1148,
1148,1083,1153,
1153,1083,1158,
1158,1083,1163,
1163,1083,1168,
1168,1083,1173,
1173,1083,1178,
1178,1083,1183,
1183,1083,1188,
1188,1083,1193,
1193,1083,1198,
1198,1083,1082,
1086,1085,1084,
1082,1084,1085,
1088,1087,1085,
1085,1086,1088,
1090,1089,1087,
1087,1088,1090,
1092,1091,1089,
1089,1090,1092,
1094,1086,1093,
1084,1093,1086,
1095,1088,1086,
1086,1094,1095,
1096,1090,1088,
1088,1095,1096,
1097,1092,1090,
1090,1096,1097,
1099,1094,1098,
1093,1098,1094,
1100,1095,1094,
1094,1099,1100,
1101,1096,1095,
1095,1100,1101,
1102,1097,1096,
1096,1101,1102,
1104,1099,1098,
1098,1103,1104,
1105,1100,1104,
1099,1104,1100,
1106,1101,1105,
1100,1105,1101,
1107,1102,1106,
1101,1106,1102,
1109,1104,1103,
1103,1108,1109,
1110,1105,1109,
1104,1109,1105,
1111,1106,1110,
1105,1110,1106,
1112,1107,1111,
1106,1111,1107,
1114,1109,1108,
1108,1113,1114,
1115,1110,1114,
1109,1114,1110,
1116,1111,1115,
1110,1115,1111,
1117,1112,1116,
1111,1116,1112,
1119,1114,1118,
1113,1118,1114,
1120,1115,1114,
1114,1119,1120,
1121,1116,1115,
1115,1120,1121,
1122,1117,1116,
1116,1121,1122,
1124,1119,1123,
1118,1123,1119,
1125,1120,1119,
1119,1124,1125,
1126,1121,1120,
1120,1125,1126,
1127,1122,1121,
1121,1126,1127,
1129,1124,1128,
1123,1128,1124,
1130,1125,1124,
1124,1129,1130,
1131,1126,1125,
1125,1130,1131,
1132,1127,1126,
1126,1131,1132,
1134,1129,1128,
1128,1133,1134,
1135,1130,1134,
1129,1134,1130,
1136,1131,1135,
1130,1135,1131,
1137,1132,1136,
1131,1136,1132,
1139,1134,1133,
1133,1138,1139,
1140,1135,1139,
1134,1139,1135,
1141,1136,1140,
1135,1140,1136,
1142,1137,1141,
1136,1141,1137,
1144,1139,1138,
1138,1143,1144,
1145,1140,1144,
1139,1144,1140,
1146,1141,1145,
1140,1145,1141,
1147,1142,1146,
1141,1146,1142,
1149,1144,1148,
1143,1148,1144,
1150,1145,1144,
1144,1149,1150,
1151,1146,1145,
1145,1150,1151,
1152,1147,1146,
1146,1151,1152,
1154,1149,1153,
1148,1153,1149,
1155,1150,1149,
1149,1154,1155,
1156,1151,1150,
1150,1155,1156,
1157,1152,1151,
1151,1156,1157,
1159,1154,1158,
1153,1158,1154,
1160,1155,1154,
1154,1159,1160,
1161,1156,1155,
1155,1160,1161,
1162,1157,1156,
1156,1161,1162,
1164,1159,1158,
1158,1163,1164,
1165,1160,1164,
1159,1164,1160,
1166,1161,1165,
1160,1165,1161,
1167,1162,1166,
1161,1166,1162,
1169,1164,1163,
1163,1168,1169,
1170,1165,1169,
1164,1169,1165,
1171,1166,1170,
1165,1170,1166,
1172,1167,1171,
1166,1171,1167,
1174,1169,1168,
1168,1173,1174,
1175,1170,1174,
1169,1174,1170,
1176,1171,1175,
1170,1175,1171,
1177,1172,1176,
1171,1176,1172,
1179,1174,1178,
1173,1178,1174,
1180,1175,1174,
1174,1179,1180,
1181,1176,1175,
1175,1180,1181,
1182,1177,1176,
1176,1181,1182,
1184,1179,1183,
1178,1183,1179,
1185,1180,1179,
1179,1184,1185,
1186,1181,1180,
1180,1185,1186,
1187,1182,1181,
1181,1186,1187,
1189,1184,1188,
1183,1188,1184,
1190,1185,1184,
1184,1189,1190,
1191,1186,1185,
1185,1190,1191,
1192,1187,1186,
1186,1191,1192,
1194,1189,1188,
1188,1193,1194,
1195,1190,1194,
1189,1194,1190,
1196,1191,1195,
1190,1195,1191,
1197,1192,1196,
1191,1196,1192,
1199,1194,1193,
1193,1198,1199,
1200,1195,1199,
1194,1199,1195,
1201,1196,1200,
1195,1200,1196,
1202,1197,1201,
1196,1201,1197,
1085,1199,1198,
1198,1082,1085,
1087,1200,1085,
1199,1085,1200,
1089,1201,1087,
1200,1087,1201,
1091,1202,1089,
1201,1089,1202
];
}