Added Minimum Cost Path Algorithm

Dynamic-Programming/MinimumCostPath.js

@@ -0,0 +1,37 @@
+// youtube Link -> https://www.youtube.com/watch?v=lBRtnuxg-gU
+
+const minCostPath = (matrix) => {
+  /*
+  Find the min cost path from top-left to bottom-right in matrix
+    >>> minCostPath([[2, 1], [3, 1], [4, 2]])
+    6
+  */
+  const n = matrix.length
+  const m = matrix[0].length
+
+  // Preprocessing first row
+  for (let i = 1; i < m; i++) {
+    matrix[0][i] += matrix[0][i - 1]
+  }
+
+  // Preprocessing first column
+  for (let i = 1; i < n; i++) {
+    matrix[i][0] += matrix[i - 1][0]
+  }
+
+  // Updating cost to current position
+  for (let i = 1; i < n; i++) {
+    for (let j = 1; j < m; j++) {
+      matrix[i][j] += Math.min(matrix[i - 1][j], matrix[i][j - 1])
+    }
+  }
+
+  return matrix[n - 1][m - 1]
+}
+
+const main = () => {
+  console.log(minCostPath([[2, 1], [3, 1], [4, 2]]))
+  console.log(minCostPath([[2, 1, 4], [2, 1, 3], [3, 2, 1]]))
+}
+
+main()