Sicily 1176:Two Ends(dp)
#include<bits/stdc++.h> using namespace std; int main(){ int n; int t = 0; while(cin >> n && n){ int arr[n+1]; memset(arr, 0, sizeof(arr)); for(int i = 1; i <= n; i++)cin >> arr[i]; long long dp[n+1][n+1];//使用dp[i][j]表示从第j个开始长度为i的序列,先手赢后手的最大值 memset(dp, 0, sizeof(dp)); for(int i = 2; i <= n; i += 2){ for(int j = 1; j + i -1 <= n; j++){ if(i == 2){ dp[i][j] = abs(arr[j+1] - arr[j]); } else{ int ans1 = 0, ans2 = 0; if(arr[j+1] >= arr[j+i-1]){ // 假如先手取左端 ans1 = arr[j]-arr[j+1]+dp[i-2][j+2]; } else{ ans1 = arr[j]-arr[j+i-1]+dp[i-2][j+1]; } if(arr[j] >= arr[j+i-2]){ // 假如先手取右端 ans2 = arr[j+i-1] - arr[j] + dp[i-2][j+1]; } else{ ans2 = arr[j+i-1] - arr[j+i-2] + dp[i-2][j]; } dp[i][j] = max(ans1, ans2); } } } // for(int i = 2; i <= n; i += 2){ // for(int j = 1; j <= n; j++){ // cout << dp[i][j] << ' '; // } // cout << endl; // } printf("In game %d, the greedy strategy might lose by as many as %lld points.\n", ++t, dp[n][1]); } }