Create 08. Guess Number Higher or Lower II.py

02_Dynamic-Programming/09. DP on Grid/08. Guess Number Higher or Lower II.py

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+# https://leetcode.com/problems/guess-number-higher-or-lower-ii/
+# https://youtu.be/x--bMzT1Xhk
+
+class Solution:
+    def getMoneyAmount(self, n: int) -> int:
+        dp = [[-1]*(n+1) for _ in range(n+1)]
+        @lru_cache(None)
+
+        def solve(start, end):
+            if start >= end: return 0
+            ans = 2**31
+            if dp[start][end] != -1: return dp[start][end]
+            for i in range(start, end):
+                ans = min(ans, i + max(solve(start, i-1), solve(i+1, end)))
+            dp[start][end] = ans
+            return ans
+        # print(dp)
+        return solve(1, n)
+