2f:Ta83,class Matrix { constructor(data) { this.data = data; this.rows = data.length; this.cols = data[0].length; } toString() { return this.data.map((row) => row.join(" ")).join("\n"); } add(other) { if (this.rows !== other.rows || this.cols !== other.cols) { throw new Error("Matrices must have the same dimensions for addition"); } const result = []; for (let i = 0; i < this.rows; i++) { result.push([]); for (let j = 0; j < this.cols; j++) { result[i][j] = this.data[i][j] + other.data[i][j]; } } return new Matrix(result); } subtract(other) { if (this.rows !== other.rows || this.cols !== other.cols) { throw new Error("Matrices must have the same dimensions for subtraction"); } const result = []; for (let i = 0; i < this.rows; i++) { result.push([]); for (let j = 0; j < this.cols; j++) { result[i][j] = this.data[i][j] - other.data[i][j]; } } return new Matrix(result); } multiply(scalar) { const result = []; for (let i = 0; i < this.rows; i++) { result.push([]); for (let j = 0; j < this.cols; j++) { result[i][j] = this.data[i][j] * scalar; } } return new Matrix(result); } divide(scalar) { if (scalar === 0) { throw new Error("Division by zero is not allowed"); } const result = []; for (let i = 0; i < this.rows; i++) { result.push([]); for (let j = 0; j < this.cols; j++) { result[i][j] = this.data[i][j] / scalar; } } return new Matrix(result); } transpose() { const result = []; for (let i = 0; i < this.cols; i++) { result.push([]); for (let j = 0; j < this.rows; j++) { result[i][j] = this.data[j][i]; } } return new Matrix(result); } static identity(size) { const data = Array.from({ length: size }, (_, i) => Array.from({ length: size }, (_, j) => (i === j ? 1 : 0)) ); return new Matrix(data); } static listToMatrix(lst) { return new Matrix(lst); } static matrixMultiply(matrix1, matrix2) { if (matrix1.cols !== matrix2.rows) { throw new Error( "Number of columns in the first matrix must be equal to the number of rows in the second matrix" ); } const result = []; for (let i = 0; i < matrix1.rows; i++) { result.push([]); for (let j = 0; j < matrix2.cols; j++) { let sum = 0; for (let k = 0; k < matrix1.cols; k++) { sum += matrix1.data[i][k] * matrix2.data[k][j]; } result[i][j] = sum; } } return new Matrix(result); } }30:T742,class MagicSquare { static toMagicSquare(coords) { if (coords.length !== 8) { throw new Error( "Incomplete coordinates. You must set all 8 coordinates." ); } const m1 = new Matrix([ [1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1] ]).multiply(coords[0]); const m2 = new Matrix([ [1, 0, 0, -1], [0, -1, 1, 0], [0, 1, -1, 0], [-1, 0, 0, 1] ]).multiply(coords[1]); const m3 = new Matrix([ [1, -1, 0, 0], [-1, 1, 0, 0], [0, 0, -1, 1], [0, 0, 1, -1] ]).multiply(coords[2]); const m4 = new Matrix([ [1, 0, -1, 0], [0, -1, 0, 1], [-1, 0, 1, 0], [0, 1, 0, -1] ]).multiply(coords[3]); const m5 = new Matrix([ [0, 0, -1, 1], [0, 0, 1, -1], [1, -1, 0, 0], [-1, 1, 0, 0] ]).multiply(coords[4]); const m6 = new Matrix([ [0, -1, 0, 1], [1, 0, -1, 0], [0, 1, 0, -1], [-1, 0, 1, 0] ]).multiply(coords[5]); const m7 = new Matrix([ [0, 1, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 1, 0] ]).multiply(coords[6]); const m8 = new Matrix([ [0, 0, 0, 0], [1, 0, 0, -1], [-1, 0, 0, 1], [0, 0, 0, 0] ]).multiply(coords[7]); const result = m1.add(m2).add(m3).add(m4).add(m5).add(m6).add(m7).add(m8); return result; } static fromTarget(target) { const n = 4; target = Math.floor(target); // Generar coordenadas aleatorias, asegurándose de que sumen al objetivo const coords = Array.from({ length: 8 }, () => 0); while (coords.reduce((acc, val) => acc + val, 0) !== target) { coords.forEach((_, index) => { const randomValue = randomInt(-target, target); coords[index] = randomValue; }); } return coords; } }31:[] 2d:{"title":"Magic Square Experiment","cells":[{"id":0,"value":"# Magic Square Experiment","pinned":false,"hidden":false,"mode":"md"},{"id":45,"value":"$2f","pinned":true,"hidden":false,"mode":"ojs"},{"id":55,"value":"function randomInt(min, max) {\n return Math.floor(Math.random() * (max - min + 1)) + min;\n}","pinned":true,"hidden":false,"mode":"ojs"},{"id":50,"value":"$30","pinned":true,"hidden":false,"mode":"ojs"},{"id":80,"value":"coords = MagicSquare.fromTarget(3)","pinned":true,"hidden":false,"mode":"ojs"},{"id":122,"value":"data = Array(10)\n .fill(0)\n .map(() => MagicSquare.toMagicSquare(coords))","pinned":true,"hidden":false,"mode":"ojs"},{"id":169,"value":"## User coords Graph","pinned":false,"hidden":false,"mode":"md"},{"id":171,"value":"viewof rawCoords = Inputs.text({\n placeholder: \"Coords...\",\n value: \"21, 32, 4, 21, 3, 12, 3, 1\"\n})","pinned":true,"hidden":false,"mode":"ojs"},{"id":191,"value":"coords$ = rawCoords.split(\",\").map(Number).slice(0, 8)","pinned":false,"hidden":false,"mode":"ojs"},{"id":202,"value":"m = MagicSquare.toMagicSquare(coords$)","pinned":true,"hidden":false,"mode":"ojs"},{"id":204,"value":"mData = {\n const numberCounts = _.countBy(_.flattenDeep(m.data));\n return _.map(numberCounts, (count, number) => ({\n number: parseInt(number),\n frequency: count\n }));\n}","pinned":true,"hidden":false,"mode":"ojs"},{"id":269,"value":"Plot.plot({\n y: {\n reverse: true\n },\n color: {\n legend: true\n },\n marks: [\n Plot.auto(mData, {x: \"number\", y: \"frequency\", color: \"frequency\"})\n ]\n})","pinned":true,"hidden":false,"mode":"ojs"}],"files":"$W31","stdlib":"1","titling":"auto"}