LeetCode 1014 Best Sightseeing Pair DP
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.
Solution
设 \(dp[j]\) 表示以 \(j\) 结尾的答案,转移方程:
\[dp[j] = \max_i(v[i]+v[j]+i-j)=v[j]-j+\max_i(v[i]+i) \]因此只需要维护每个位置结尾的 \(\max_i(v[i]+i)\)
点击查看代码
class Solution {
private:
int dp[50004];
int MAX = -1;
int add[50004];
public:
int maxScoreSightseeingPair(vector& values) {
int n = values.size();
if(n==2){return values[0]+values[1]-1;}
for(int i=0;i