Create minimum-score-triangulation-of-polygon.cpp

Author: kamyu104

C++/minimum-score-triangulation-of-polygon.cpp

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+// Time:  O(n^3)
+// Space: O(n^2)
+
+class Solution {
+public:
+    int minScoreTriangulation(vector<int>& A) {
+        vector<vector<int>> dp(A.size(), vector<int>(A.size()));
+        for (int p = 3; p <= A.size(); ++p) {
+            for (int i = 0; i + p - 1 < A.size(); ++i) {
+                int j = i + p - 1;
+                dp[i][j] = numeric_limits<int>::max();
+                for (int k = i + 1; k < j; ++k) {
+                    dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j] + A[i] * A[j] * A[k]);
+                }
+            }
+        }
+        return dp[0][A.size() - 1];
+    }
+};