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1014. Best Sightseeing Pair

Description

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

Solutions

  • class Solution {
        public int maxScoreSightseeingPair(int[] values) {
            int ans = 0, mx = values[0];
            for (int j = 1; j < values.length; ++j) {
                ans = Math.max(ans, values[j] - j + mx);
                mx = Math.max(mx, values[j] + j);
            }
            return ans;
        }
    }
    
  • class Solution {
    public:
        int maxScoreSightseeingPair(vector<int>& values) {
            int ans = 0, mx = values[0];
            for (int j = 1; j < values.size(); ++j) {
                ans = max(ans, values[j] - j + mx);
                mx = max(mx, values[j] + j);
            }
            return ans;
        }
    };
    
  • class Solution:
        def maxScoreSightseeingPair(self, values: List[int]) -> int:
            ans, mx = 0, values[0]
            for j in range(1, len(values)):
                ans = max(ans, values[j] - j + mx)
                mx = max(mx, values[j] + j)
            return ans
    
    
  • func maxScoreSightseeingPair(values []int) (ans int) {
    	for j, mx := 1, values[0]; j < len(values); j++ {
    		ans = max(ans, values[j]-j+mx)
    		mx = max(mx, values[j]+j)
    	}
    	return
    }
    
  • function maxScoreSightseeingPair(values: number[]): number {
        let ans = 0;
        let mx = values[0];
        for (let j = 1; j < values.length; ++j) {
            ans = Math.max(ans, values[j] - j + mx);
            mx = Math.max(mx, values[j] + j);
        }
        return ans;
    }
    
    
  • impl Solution {
        pub fn max_score_sightseeing_pair(values: Vec<i32>) -> i32 {
            let mut ans = 0;
            let mut mx = 0;
            for (j, &x) in values.iter().enumerate() {
                ans = ans.max(mx + x - j as i32);
                mx = mx.max(x + j as i32);
            }
            ans
        }
    }
    
    

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