#include "fish.h"
#include <bits/stdc++.h>
#define ii pair<int, int>
#define fi first
#define se second
#define inf 0x3f3f3f3f3f3f3f3f
using namespace std;
using ll = long long;
const ll mod=1e9+7;
struct segtree
{
vector<ll> nod;
void init(int n)
{
nod.assign(4*n+5, -inf);
}
void update(int id, int l, int r, int p, ll val)
{
if(l>p || r<p) return;
if(l==r) return void(nod[id]=max(nod[id], val));
int mid=(l+r)>>1;
update(id<<1, l, mid, p, val);
update(id<<1|1, mid+1, r, p, val);
nod[id]=max(nod[id<<1], nod[id<<1|1]);
}
ll get(int id, int l, int r, int u, int v)
{
if(l>=u && r<=v) return nod[id];
int mid=(l+r)>>1;
if(v<=mid) return get(id<<1, l, mid, u, v);
if(u>mid) return get(id<<1|1, mid+1, r, u, v);
return max(get(id<<1, l, mid, u, v), get(id<<1|1, mid+1, r, u, v));
}
};
ll max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w)
{
vector<vector<ii>> ve;
ve.assign(n, {});
for(int i = 0; i < m; i++)
ve[x[i]].emplace_back(y[i], w[i]);
segtree seg_up, seg_down;
seg_up.init(n+1);
seg_down.init(n+1);
ll zero=0;
for(int i = 0; i < n; i++)
{
sort(ve[i].begin(), ve[i].end());
vector<ll> dp_up, dp_down;
for(auto it:ve[i])
{
dp_up.emplace_back(seg_up.get(1, 0, n, 0, it.fi-1)+it.se);
dp_down.emplace_back(seg_down.get(1, 0, n, it.fi+1, n)+it.se);
}
seg_down.update(1, 0, n, n, max(seg_up.nod[1], zero));
ll sum=0;
for(int j = 0; j < dp_up.size(); j++)
{
sum+=ve[i][j].se;
dp_up[j]=max(dp_up[j], zero+sum);
}
for(int j = 1; j < dp_up.size(); j++)
dp_up[j]=max(dp_up[j], dp_up[j-1]+ve[i][j].se);
sum=0;
for(int j = 0; j < dp_up.size(); j++)
{
dp_up[j]=max(dp_up[j], dp_down[j]+sum);
zero=max(zero, dp_down[j]+sum);
sum+=ve[i][j].se;
}
for(int j = (int)dp_down.size()-2; j >= 0; j--)
dp_down[j]=max(dp_down[j], dp_down[j+1]+ve[i][j].se);
for(int j = 0; j < dp_up.size(); j++)
{
seg_up.update(1, 0, n, ve[i][j].fi, dp_up[j]);
seg_down.update(1, 0, n, ve[i][j].fi, dp_down[j]);
}
}
return max(zero, seg_down.nod[1]);
}
// int main()
// {
// ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// cout<<max_weights(5, 4, {0, 1, 4, 3}, {2, 1, 4, 3}, {5, 2, 1, 3});
// }
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