Create 1473-paint-house-iii.js

Author: everthis

1473-paint-house-iii.js

@@ -0,0 +1,43 @@
+/**
+ * @param {number[]} houses
+ * @param {number[][]} cost
+ * @param {number} m
+ * @param {number} n
+ * @param {number} target
+ * @return {number}
+ */
+const minCost = function (houses, cost, m, n, target) {
+  const dp = Array(m)
+    .fill(null)
+    .map(() =>
+      Array(target)
+        .fill(null)
+        .map(() => Array(n + 1).fill(0))
+    )
+  function dfs(i, t, p) {
+    if (i === m && t === 0) {
+      return 0
+    } else if (t < 0 || m - i < t || (i === m && t > 0)) {
+      return Infinity
+    } else if (p > -1 && dp[i][t][p]) {
+      return dp[i][t][p]
+    } else {
+      let res = Infinity
+      if (houses[i]) {
+        const tmp = houses[i] !== p ? 1 : 0
+        res = dfs(i + 1, t - tmp, houses[i])
+      } else {
+        for (let k = 1; k <= n; k++) {
+          const tmp = k !== p ? 1 : 0
+          res = Math.min(res, cost[i][k - 1] + dfs(i + 1, t - tmp, k))
+        }
+      }
+      if (p > -1) {
+        dp[i][t][p] = res
+      }
+      return res
+    }
+  }
+  const answer = dfs(0, target, -1)
+  return answer === Infinity ? -1 : answer
+}