#include "fish.h"
#include <bits/stdc++.h>
#define pb push_back
using namespace std;
using ll = long long;
ll max_weights(int n, int m, vector<int> X, vector<int> Y, vector<int> W) {
vector<array<ll, 2>> a[n];
vector<ll> S[n];
ll SUM = 0;
for (int i = 0; i < m; ++i) a[X[i]].pb({Y[i], W[i]});
for (int i = 0; i < n; ++i) {
a[i].pb({-1, 0});
sort(a[i].begin(), a[i].end());
S[i] = {0};
for (auto &[y, w] : a[i]) {
if (y >= 0) {
S[i].pb(S[i].back() + w);
}
}
SUM += S[i].back();
}
if (n >= 300) {
return SUM;
}
ll dp[n][n][2];
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) dp[i][j][0] = dp[i][j][1] = 0;
}
for (int i = 0; i < n; ++i) dp[0][i][0] = dp[0][i][1] = 0;
auto sum = [&](int i, int h) {
array<ll, 2> cr = {h, (int)1e9};
return S[i][upper_bound(a[i].begin(), a[i].end(), cr) - a[i].begin() - 1];
};
ll mx = 0;
for (int i = 1; i < n; ++i) {
for (int h = 0; h < n; ++h) {
if (i == 1) dp[i][h][0] = sum(0, h);
for (int h2 = 0; h2 < n; ++h2) {
if (h2 <= h) {
dp[i][h][0] = max(sum(i-1, h) - sum(i-1, h2) + dp[i-1][h2][0], dp[i][h][0]);
}
if (h2 >= h) dp[i][h][1] = max(sum(i, h2) - sum(i, h) + dp[i-1][h2][1], dp[i][h][1]);
if (i >= 2) dp[i][h][0] = max(sum(i-1, max(h, h2)) + dp[i-2][h2][1] , dp[i][h][0]);
}
mx = max({mx, dp[i][h][0], dp[i][h][1]});
}
dp[i][n][0] = dp[i][n][1] = max({dp[i][n][0], dp[i][n][1]});
}
return mx;
}
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