This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
#define all(a) (a).begin(), (a).end()
#define replr(i, a, b) for (int i = int(a); i <= int(b); ++i)
#define reprl(i, a, b) for (int i = int(a); i >= int(b); --i)
#define rep(i, n) for (int i = 0; i < int(n); ++i)
#define mkp(a, b) make_pair(a, b)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<PII> VPI;
typedef vector<VI> VVI;
typedef vector<VVI> VVVI;
typedef vector<VPI> VVPI;
typedef pair<ll, ll> PLL;
typedef vector<ll> VL;
typedef vector<PLL> VPL;
typedef vector<VL> VVL;
typedef vector<VVL> VVVL;
typedef vector<VPL> VVPL;
template<class T> T setmax(T& a, T b) {if (a < b) return a = b; return a;}
template<class T> T setmin(T& a, T b) {if (a < b) return a; return a = b;}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template<class T>
using indset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#include "fish.h"
#define solvefor(a) if (a::check(N, M, X, Y, W)) return a::solve(N, M, X, Y, W);
namespace TEST1 {
    bool check(int N, int M, VI X, VI Y, VI W) {
        for (int x : X) if (x & 1) return false;
        return true;
    }
    ll solve(int N, int M, VI X, VI Y, VI W) {
        ll ans = 0;
        for (int x : W) ans += x;
        return ans;
    }
};
namespace TEST2 {
    bool check(int N, int M, VI X, VI Y, VI W) {
        for (int x : X) if (x > 1) return false;
        return true;
    }
    struct POINT {
        int x, y, w;
    };
    ll solve(int N, int M, VI X, VI Y, VI W) {
        if (N == 2) {
            ll sum[2]{};
            rep(i, M) sum[X[i]] += W[i];
            return max(sum[0], sum[1]);
        }
        vector<POINT> vec;
        rep(i, M) vec.pb({X[i], Y[i], W[i]});
        int n = vec.size();
        sort(all(vec), [](const POINT& a, const POINT& b){return make_tuple(a.y, -a.x, a.w) < make_tuple(b.y, -b.x, b.w);});
        ll sum = 0;
        rep(i, n) if (vec[i].x == 1) sum += vec[i].w;
        ll ans = sum;
        rep(i, n) {
            if (vec[i].x == 1) sum -= vec[i].w;
            else sum += vec[i].w;
            setmax(ans, sum);
        }
        return ans;
    }
};
namespace TEST3 {
    bool check(int N, int M, VI X, VI Y, VI W) {
        for (int x : Y) if (x != 0) return false;
        return true;
    }
    ll solve(int N, int M, VI X, VI Y, VI W) {
        int n = N+3;
        VL a(n+2);
        rep(i, M) a[X[i]+3] = W[i];
        VL dp(n);
        replr(i, 3, n-1) {
            dp[i] = dp[i-1];
            setmax(dp[i], dp[i-3] + a[i-1] + a[i+1]);
            setmax(dp[i], dp[i-2] + a[i+1]);
            setmax(dp[i], dp[i-1] - a[i] + a[i+1]);
        }
        return dp[n-1];
    }
};
namespace TEST4 {
    ll solve(int N, int M, VI X, VI Y, VI W) {
        int n = N+3;
        int m = N;
        VVL a(n+1, VL(m));
        rep(i, M) a[X[i]+3][Y[i]] = W[i];
        VVL dpvar(n, VL(m)); // mec, poqr
        VVL dpver(n, VL(m)); // poqr, mec
        VL dp2(n);
        replr(i, 3, n-1) {
            replr(k, 0, m-1) {
                replr(prevk, 0, k) {
                    ll sum = 0;
                    replr(l, 0, k) {
                        sum += a[i+1][l];
                        if (l <= prevk) sum -= a[i][l];
                        else sum += a[i-1][l];
                    }
                    setmax(dpver[i][k], dpver[i-1][prevk] + sum);
                }
                replr(prevk, k, m-1) {
                    ll sum = 0;
                    replr(l, 0, k) {
                        sum += a[i+1][l];
                        if (l <= k) sum -= a[i][l];
                        else sum += a[i-1][l];
                    }
                    setmax(dpvar[i][k], dpvar[i-1][prevk] + sum);
                    setmax(dpvar[i][k], dpver[i-1][prevk] + sum);
                }
                replr(prevk, 0, m-1) {
                    ll sum = 0;
                    replr(l, 0, k) {
                        sum += a[i+1][l];
                    }
                    setmax(dpver[i][k], dpvar[i-2][prevk] + sum);
                    setmax(dpver[i][k], dpver[i-2][prevk] + sum);
                }
                ll sum = 0;
                replr(l, 0, k) {
                    sum += a[i-1][l];
                    sum += a[i+1][l];
                }
                setmax(dpver[i][k], dp2[i-3] + sum);
                setmax(dp2[i], dpver[i][k]);
                setmax(dp2[i], dpvar[i][k]);
                setmax(dp2[i], dp2[i-1]);
            }
        }
        /*cout << "dpver" << endl;*/
        /*reprl(j, m-1, 0) {*/
        /*    replr(i, 3, n-1) cout << dpver[i][j] << " ";*/
        /*    cout << endl;*/
        /*}*/
        /*cout << endl;*/
        /*cout << "dpvar" << endl;*/
        /*reprl(j, m-1, 0) {*/
        /*    replr(i, 3, n-1) cout << dpvar[i][j] << " ";*/
        /*    cout << endl;*/
        /*}*/
        /*cout << endl;*/
        return dp2[n-1];
    }
};
mt19937 rng;
void stresstest() {
    rng = mt19937(chrono::steady_clock().now().time_since_epoch().count());
    int t = 20;
    while (t--) {
        int N, M;
        VI X, Y, W;
        N = 50;
        M = 10;
        X = Y = W = VI(M);
        for (int& x : X) x = rng()%N;
        for (int& x : W) x = rng()%10+1;
        int ans1 = TEST3::solve(N, M, X, Y, W);
        int ans2 = TEST4::solve(N, M, X, Y, W);
        if (ans1 != ans2) {
            cout << N << " " << M << endl;
            rep(i, M) cout << X[i] << " " << Y[i] << " " << W[i] << endl;
            cout << "answers" << endl;
            cout << ans1 << " " << ans2 << endl;
            abort();
        }
    }
}
ll max_weights(int N, int M, VI X, VI Y, VI W) {
    solvefor(TEST1);
    solvefor(TEST2);
    solvefor(TEST3);
    return TEST4::solve(N, M, X, Y, W);
    return -1;
}
| # | Verdict  | Execution time | Memory | Grader output | 
|---|
| Fetching results... | 
| # | Verdict  | Execution time | Memory | Grader output | 
|---|
| Fetching results... | 
| # | Verdict  | Execution time | Memory | Grader output | 
|---|
| Fetching results... | 
| # | Verdict  | Execution time | Memory | Grader output | 
|---|
| Fetching results... | 
| # | Verdict  | Execution time | Memory | Grader output | 
|---|
| Fetching results... | 
| # | Verdict  | Execution time | Memory | Grader output | 
|---|
| Fetching results... | 
| # | Verdict  | Execution time | Memory | Grader output | 
|---|
| Fetching results... | 
| # | Verdict  | Execution time | Memory | Grader output | 
|---|
| Fetching results... |