Algorithm


Problem Name: 1014. Best Sightseeing Pair

You are given an integer array values where values[i] represents the value of the ith sightseeing spot. Two sightseeing spots i and j have a distance j - i between them.

The score of a pair (i < j) of sightseeing spots is values[i] + values[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: values = [8,1,5,2,6]
Output: 11
Explanation: i = 0, j = 2, values[i] + values[j] + i - j = 8 + 5 + 0 - 2 = 11

Example 2:

Input: values = [1,2]
Output: 2

 

Constraints:

  • 2 <= values.length <= 5 * 104
  • 1 <= values[i] <= 1000

Code Examples

#1 Code Example with Javascript Programming

Code - Javascript Programming


const maxScoreSightseeingPair = function(A) {
    let res = 0, cur = 0;
    for (let a of A) {
        res = Math.max(res, cur + a);
        cur = Math.max(cur, a) - 1;
    }
    return res;
};
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Input

x
+
cmd
values = [8,1,5,2,6]

Output

x
+
cmd
11

#2 Code Example with Python Programming

Code - Python Programming


class Solution:
    def maxScoreSightseeingPair(self, A: List[int]) -> int:
        pre, mx = 0, -float('inf')
        for j, a in enumerate(A):
            mx = max(mx, pre + a - j)
            pre = max(pre, a + j)
        return mx
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Input

x
+
cmd
values = [8,1,5,2,6]

Output

x
+
cmd
11
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