Create maximum-array-hopping-score-i.py

Author: kamyu104

Python/maximum-array-hopping-score-i.py

@@ -0,0 +1,31 @@
+# Time:  O(n)
+# Space: O(1)
+
+# prefix sum, greedy
+class Solution(object):
+    def maxScore(self, nums):
+        """
+        :type nums: List[int]
+        :rtype: int
+        """
+        result = mx = 0
+        for i in reversed(xrange(1, len(nums))):
+            mx = max(mx, nums[i])
+            result += mx
+        return result
+
+
+# Time:  O(n^2)
+# Space: O(n)
+# dp
+class Solution2(object):
+    def maxScore(self, nums):
+        """
+        :type nums: List[int]
+        :rtype: int
+        """
+        dp = [0]*len(nums)
+        for i in xrange(1, len(nums)):
+            for j in xrange(i):
+                dp[i] = max(dp[i], dp[j]+(i-j)*nums[i])
+        return dp[-1]