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index.js
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36 lines (28 loc) · 936 Bytes
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/**
* @param {number} lineNumber - zero based.
* @return {number[]}
*/
const pascalTriangle = (lineNumber) => {
let rowArray = []; // Creando la matríz del tríangulo
if (lineNumber == 0) { // Exepción de 0
return rowArray = [1];
} if (lineNumber == 1) { // Exepción de 1
return rowArray = [1,1];
} else {
for (i = 0; i <= lineNumber; i++) {
let top = factorial(lineNumber); // n!
let k = factorial(i); // k!
let n = factorial(lineNumber - i); // (n-k)!
let combination = k * n; // (k!(n-k)!)
rowArray[i] = top / combination; // n!/(k!(n-k)!)
}
return rowArray;
}
}
const factorial = (n) => { // Función que determina el factoríal de un número
if (n === 0){ //Exepción de 0
return 1;
}
return n * factorial (n-1);
};
module.exports = pascalTriangle;