Update guess-number-higher-or-lower-ii.cpp

Author: kamyu104

C++/guess-number-higher-or-lower-ii.cpp

@@ -2,6 +2,26 @@
 // Space: O(n^2)
 
 class Solution {
+public:
+    int getMoneyAmount(int n) {
+        vector<vector<int>> dp(n + 1, vector<int>(n + 1));  // dp[i][j]: min pay in [i+1, j+1)
+        for (int j = 0; j <= n; ++j) {
+            for (int i = j - 2; i >= 0; --i) {
+                dp[i][j] = numeric_limits<int>::max();
+                for (int k = i; k < j; ++k) {
+                    if (max(dp[i][k], dp[k + 1][j]) < dp[i][j] - (k + 1)) {
+                        dp[i][j] = (k + 1) + max(dp[i][k], dp[k + 1][j]);
+                    }
+                }
+            }
+        }
+        return dp[0][n];
+    }
+};
+
+// Time:  O(n^3)
+// Space: O(n^2)
+class Solution2 {
 public:
     int getMoneyAmount(int n) {
         vector<vector<int>> dp(n + 1, vector<int>(n + 1));  // dp[i][j]: min pay in [i+1, j+1)