Create 3276-select-cells-in-grid-with-maximum-score.js

Author: everthis

3276-select-cells-in-grid-with-maximum-score.js

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+/**
+ * @param {number[][]} grid
+ * @return {number}
+ */
+var maxScore = function (grid) {
+  const n = grid.length
+  const m = grid[0].length
+  const values = []
+
+  for (let i = 0; i < n; i++) {
+    for (let j = 0; j < m; j++) {
+      values.push([grid[i][j], i, j])
+    }
+  }
+
+  values.sort((a, b) => b[0] - a[0])
+  const dp = {}
+
+  return recur(values, 0, 0, dp)
+}
+
+function recur(values, idx, mask_row, dp) {
+  const n = values.length
+  if (idx === n) return 0
+
+  const key = `${idx},${mask_row}`
+  if (key in dp) return dp[key]
+
+  let ans = 0
+  const row = values[idx][1]
+  if ((1 << row) & mask_row) {
+    ans += recur(values, idx + 1, mask_row, dp)
+  } else {
+    let j = idx
+    while (j < n && values[idx][0] === values[j][0]) j++
+
+    const ans1 = values[idx][0] + recur(values, j, mask_row | (1 << row), dp)
+    const ans2 = recur(values, idx + 1, mask_row, dp)
+
+    ans = Math.max(ans1, ans2)
+  }
+
+  dp[key] = ans
+  return ans
+}