Runtime: 2720 ms (Top 33.33%) | Memory: 213.20 MB (Top 33.33%)

Author: AnasImloul

scripts/algorithms/M/Minimum Total Distance Traveled/Minimum Total Distance Traveled.js

@@ -0,0 +1,20 @@
+// Runtime: 2720 ms (Top 33.33%) | Memory: 213.20 MB (Top 33.33%)
+
+var minimumTotalDistance = function(robot, factory) {
+    robot.sort((a, b) => a - b);
+    factory.sort((a, b) => a[0] - b[0]);
+    let memo = {};
+    
+    const dp = function(i, j, k) {
+        if (memo[`${i} ${j} ${k}`]) return memo[`${i} ${j} ${k}`];
+        if (i === robot.length) return 0;
+        if (j === factory.length) return Infinity;
+        let distance1 = dp(i, j + 1, 0); 
+        let distance2 = factory[j][1] > k ? dp(i + 1, j, k + 1) + Math.abs(robot[i] - factory[j][0]) : Infinity;
+        const result = Math.min(distance1, distance2);
+        memo[`${i} ${j} ${k}`] = result;
+        return result;
+    }
+    
+    return dp(0, 0, 0);
+};