This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 3e3 + 100;
const int maxl = 11;
int n;
ll dp[maxn][maxn][2];
ll a[maxn][maxn];
long long max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W){
    n = N;
    for(int i = 0; i < M; i++){
        X[i]++; Y[i]++;
        a[X[i]][Y[i]] += W[i];
    }
    for(int i = 1; i <= n; i++){
        for(int j = 1; j <= n; j++){
            a[i][j] += a[i][j-1];
        }
    }
    for(int i = 0; i <= n + 1; i++){
        for(int j = 0; j <= n; j++){
            dp[i][j][0] = dp[i][j][1] = -(ll)1e18;
        }
    }
    dp[0][0][1] = dp[0][0][0] = 0;
    for(int i = 0; i <= n; i++){
        for(int j = 0; j <= n; j++){
            for(int k = 0; k <= n; k++){
                if(j <= k){
                    dp[i+1][k][1] = max(dp[i+1][k][1], dp[i][j][1] + a[i][k] - a[i][j]);
                }
                if(j >= k){
                    dp[i+1][k][0] = max(dp[i+1][k][0], dp[i][j][0] + a[i+1][j] - a[i+1][k]);
                }
                if(i){
                    dp[i+1][k][0] = max(dp[i+1][k][0], dp[i-1][j][1] + a[i-1][n] + a[i+1][n] - a[i-1][j] - a[i+1][k]);
                    dp[i+1][k][1] = max(dp[i+1][k][1], dp[i-1][j][0] + a[i][max(j, k)]);
                }
            }
        }
    }
    // for(int i = 1; i <= n; i++){
    //     for(int j = 0; j <= n; j++){
    //         cout << dp[i][j][0] << ' ';
    //     } cout << endl;
    //     for(int j = 0; j <= n; j++){
    //         cout << dp[i][j][1] << ' ';
    //     } cout << endl << endl;
    // }
    return max(dp[n+1][0][0], dp[n+1][0][1]);
}
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