#include "fish.h"
#include <bits/stdc++.h>
using namespace std;
#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 1e5+10, MOD = 1e9+7;
vector<pair<int, int>> fish[N];
vector<int> use[N];
ll max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w) {
for (int i = 0; i < m; i++) {
fish[x[i]].emplace_back(y[i], w[i]);
if (x[i]) use[x[i]-1].push_back(y[i]);
if (x[i] < n-1) use[x[i]+1].push_back(y[i]);
}
for (int i = 0; i < n; i++) {
use[i].push_back(-1);
sort(use[i].begin(), use[i].end());
sort(fish[i].begin(), fish[i].end());
}
vector<ll> prv_l{0}, prv_r{0};
vector<int> prv_h{-1};
vector<pair<int, int>> prv_fish;
for (int c = 0; c < n; c++) {
int k = sz(use[c]);
vector<ll> cur_l(k), cur_r(k);
auto cur_h = use[c];
auto cur_fish = fish[c];
vector<ll> ps_prv(sz(prv_fish));
vector<ll> ps_cur(sz(cur_fish));
for (int i = 0; i < sz(prv_fish); i++) {
ps_prv[i] = prv_fish[i].second;
if (i) ps_prv[i] += ps_prv[i-1];
}
for (int i = 0; i < sz(cur_fish); i++) {
ps_cur[i] = cur_fish[i].second;
if (i) ps_cur[i] += ps_cur[i-1];
}
ll mx_prv_l = *max_element(prv_l.begin(), prv_l.end());
for (int j = 0; j < sz(cur_h); j++) {
cur_r[j] = max(cur_r[j], mx_prv_l);
ll my_ps_prv = upper_bound(prv_fish.begin(), prv_fish.end(), pair<int, int>{cur_h[j], MOD}) - prv_fish.begin() - 1;
if (my_ps_prv < 0) my_ps_prv = 0;
else my_ps_prv = ps_prv[my_ps_prv];
for (int i = 0; i < sz(prv_h); i++) {
ll cost_prv = prv_r[i];
ll his_ps_prv = upper_bound(prv_fish.begin(), prv_fish.end(), pair<int, int>{prv_h[i], MOD}) - prv_fish.begin() - 1;
if (his_ps_prv < 0) his_ps_prv = 0;
else his_ps_prv = ps_prv[his_ps_prv];
cost_prv += max(my_ps_prv - his_ps_prv, 0LL);
/*
for (auto f : prv_fish) if (prv_h[i] < f.first && f.first <= cur_h[j])
cost_prv += f.second;
*/
cost_prv = max(cost_prv, prv_l[i]);
cur_r[j] = max(cur_r[j], cost_prv);
for (auto f : cur_fish) if (cur_h[j] < f.first && f.first <= prv_h[i])
cost_prv += f.second;
cur_l[j] = max(cur_l[j], cost_prv);
}
}
swap(prv_l, cur_l);
swap(prv_r, cur_r);
swap(prv_h, cur_h);
swap(prv_fish, cur_fish);
}
ll ans = 0;
for (ll x : prv_l) ans = max(ans, x);
for (ll x : prv_r) ans = max(ans, x);
return ans;
}
