chore: Merge pull request #776 from raghhavtaneja/raghhavtaneja-patch-1

Create RodCutting.js

Author: raklaptudirm

Dynamic-Programming/RodCutting.js

@@ -0,0 +1,17 @@
+/*
+  * You are given a rod of 'n' length and an array of prices associated with all the lengths less than 'n'.
+  * Find the maximum profit possible by cutting the rod and selling the pieces.
+*/
+
+export function rodCut (prices, n) {
+  const memo = new Array(n + 1)
+  memo[0] = 0
+
+  for (let i = 1; i <= n; i++) {
+    let maxVal = Number.MIN_VALUE
+    for (let j = 0; j < i; j++) { maxVal = Math.max(maxVal, prices[j] + memo[i - j - 1]) }
+    memo[i] = maxVal
+  }
+
+  return memo[n]
+}

Dynamic-Programming/tests/RodCutting.test.js

@@ -0,0 +1,21 @@
+import { rodCut } from '../RodCutting'
+
+test('Test Case 1', () => {
+  expect(rodCut([1, 5, 8, 9, 10, 17, 17, 20], 8)).toBe(22)
+})
+
+test('Test Case 2', () => {
+  expect(rodCut([1, 5, 4, 2, 1, 11, 19, 12], 8)).toBe(20)
+})
+
+test('Test Case 3', () => {
+  expect(rodCut([1, 2, 1], 3)).toBe(3)
+})
+
+test('Test Case 4', () => {
+  expect(rodCut([5, 4, 3, 2, 1], 5)).toBe(25)
+})
+
+test('Test Case 5', () => {
+  expect(rodCut([3, 5, 8, 8, 10, 16, 14, 19], 8)).toBe(24)
+})