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

Author: kamyu104

Python/minimum-score-triangulation-of-polygon.py

@@ -0,0 +1,17 @@
+# Time:  O(n^3)
+# Space: O(n^2)
+
+class Solution(object):
+    def minScoreTriangulation(self, A):
+        """
+        :type A: List[int]
+        :rtype: int
+        """
+        dp = [[0 for _ in xrange(len(A))] for _ in xrange(len(A))]
+        for p in xrange(3, len(A)+1):
+            for i in xrange(len(A)-p+1):
+                j = i+p-1;
+                dp[i][j] = float("inf")
+                for k in xrange(i+1, j):
+                    dp[i][j] = min(dp[i][j], dp[i][k]+dp[k][j] + A[i]*A[j]*A[k]);
+        return dp[0][-1]