1014.py

'''
Given an array A of positive integers, A[i] represents the value of the i-th sightseeing spot, and two sightseeing spots i and j have distance j - i between them.

The score of a pair (i < j) of sightseeing spots is (A[i] + A[j] + i - j) : the sum of the values of the sightseeing spots, minus the distance between them.

Return the maximum score of a pair of sightseeing spots.

 

Example 1:

Input: [8,1,5,2,6]
Output: 11
Explanation: i = 0, j = 2, A[i] + A[j] + i - j = 8 + 5 + 0 - 2 = 11
 

Note:

2 <= A.length <= 50000
1 <= A[i] <= 1000
'''
class Solution(object):
    def maxScoreSightseeingPair(self, A):
        """
        :type A: List[int]
        :rtype: int
        """
        prev_best, result = 0, 0
        for index in range(0, len(A)):
            result = max(result, A[index]-index+prev_best)
            prev_best = max(prev_best, A[index]+index)
        return result