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 "fish.h"
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
using namespace std;
#define ll long long
#define pb push_back
#define F first
#define S second
#define all(v) v.begin(),v.end()
#define sz(s) (int)s.size()
#define lb lower_bound
#define ub upper_bound
const int MAX=2e5+10;
vector<pair<ll,ll>> y[MAX];
vector<ll> p[MAX];
vector<vector<ll>> dp[MAX];
vector<ll> can[MAX];
ll getSum(int x,ll l,ll r){
if(l>r)return 0;
int L=lb(all(y[x]),make_pair(l,0ll))-y[x].begin();
int R=ub(all(y[x]),make_pair(r+1,0ll))-y[x].begin()-1;
if(L<=R){
if(L==0)return p[x][R];
return p[x][R]-p[x][L-1];
}
return 0;
}
vector<vector<ll>> sumF[MAX];
vector<vector<ll>> sumB[MAX];
long long max_weights(int N, int M, vector<int> X, vector<int> Y,vector<int> W) {
// assert(N<=300);
int MX=0;
bool sub=1;
for(int i=0;i<M;i++){
X[i]++;
Y[i]++;
y[X[i]].pb({Y[i],i});
sub&=(X[i]%2==1);
MX=max(MX,X[i]);
}
if(sub){
ll ans=0;
for(int i=0;i<M;i++)ans+=W[i];
return ans;
}
if(MX<=2){
ll f=0,f1=0;
for(int i=0;i<M;i++){
if(X[i]%2)f+=W[i];
else f+=W[i-1];
}
return max(f,f1);
}
for(int i=1;i<=N;i++){
if(y[i].empty())continue;
sort(all(y[i]));
p[i].pb(W[y[i][0].S]);
for(int j=1;j<sz(y[i]);j++){
p[i].pb(p[i].back()+W[y[i][j].S]);
}
}
// cout<<y[5][0].F<<"\n";
can[0].pb(0);
can[N+1].pb(0);
for(int i=1;i<=N;i++){
can[i].pb(0);
if(i>0){
for(auto [x,b]:y[i-1])can[i].pb(x);
}
if(i+1<=N){
for(auto [x,b]:y[i+1])can[i].pb(x);
}
sort(all(can[i]));
can[i].erase(unique(all(can[i])),can[i].end());
}
for(int i=1;i<=N+1;i++){
dp[i].resize(sz(can[i]));
for(int j=0;j<sz(dp[i]);j++){
dp[i][j].resize(sz(can[i-1]));
for(int k=0;k<sz(can[i-1]);k++){
dp[i][j][k]=0;
}
}
}
for(int i=0;i<N;i++){
sumF[i].resize(sz(can[i]));
for(int j=0;j<sz(can[i]);j++){
sumF[i][j].resize(sz(can[i+1]));
for(int k=0;k<sz(can[i+1]);k++){
sumF[i][j][k]=getSum(i+1,can[i+1][k]+1,can[i][j]);
}
}
}
for(int i=1;i<=N+1;i++){
sumB[i].resize(sz(can[i]));
for(int j=0;j<sz(can[i]);j++){
sumB[i][j].resize(sz(can[i-1]));
for(int k=0;k<sz(can[i-1]);k++){
sumB[i][j][k]=getSum(i-1,can[i-1][k]+1,can[i][j]);
}
}
}
for(int i=1;i<=N;i++){
for(int j=0;j<sz(can[i]);j++){
for(int k=0;k<sz(can[i-1]);k++){
for(int f=0;f<sz(can[i+1]);f++){
ll nxt=dp[i][j][k];
{
nxt+=max(sumF[i-1][k][j],sumB[i+1][f][j]);
}
dp[i+1][f][j]=max(dp[i+1][f][j],nxt);
}
}
}
}
ll ans=0;
for(int j=0;j<sz(can[N]);j++)ans=max(ans,dp[N+1][0][j]);
return ans;
}
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