Contribute: Added algorithm for Unique Paths problem

Dynamic-Programming/UniquePaths.js

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+/**
+ * A Dynamic Programming based solution for calculating the number ways to travel from Top-Left of the matrix to Bottom-Right of the matrix
+ * https://leetcode.com/problems/unique-paths/
+ */
+
+// Return the number of unique paths, given the dimensions of rows and columns
+
+const uniquePaths = (rows, cols) => {
+ let dp = new Array(cols).fill(1)
+
+ for (let i = 1; i < rows; i++) {
+ const tmp = []
+
+ for (let j = 0; j < cols; j++) {
+ if (j === 0) {
+ tmp[j] = dp[j]
+ } else {
+ tmp[j] = tmp[j - 1] + dp[j]
+ }
+ }
+ dp = tmp
+ }
+ return dp.pop()
+}
+
+export { uniquePaths }

Dynamic-Programming/tests/UniquePaths.test.js

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+import { uniquePaths } from '../UniquePaths'
+
+test('Base Case 1', () => {
+ const rows = 3
+ const cols = 7
+ expect(uniquePaths(rows, cols)).toBe(28)
+})
+
+test('Base Case 2', () => {
+ const rows = 3
+ const cols = 2
+ expect(uniquePaths(rows, cols)).toBe(3)
+})
+
+test('Base Case 3', () => {
+ const rows = 8
+ const cols = 14
+ expect(uniquePaths(rows, cols)).toBe(77520)
+})