# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1160639 | guagua0407 | Arranging Tickets (JOI17_arranging_tickets) | C++20 | 0 ms | 328 KiB |
//#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int,int>
#define f first
#define s second
#define all(x) x.begin(),x.end()
#define _ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int dx[4]={0,0,1,-1};
int dy[4]={1,-1,0,0};
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
int main() {_
int n,m;
cin>>n>>m;
vector<ll> l(m),r(m),c(m);
vector<vector<int>> id(n+1);
vector<ll> pre(n+2);
for(int i=0;i<m;i++){
cin>>l[i]>>r[i]>>c[i];
if(l[i]>r[i]) swap(l[i],r[i]);
id[l[i]].push_back(i);
pre[l[i]]+=c[i];
pre[r[i]]-=c[i];
}
for(int i=1;i<=n;i++){
pre[i]+=pre[i-1];
}
int pos=max_element(all(pre))-pre.begin();
auto check=[&](ll ans){
priority_queue<pair<int,pair<int,ll>>> pq;
ll pt=pre[pos]-ans;
ll px=0;
vector<ll> pre2(n+2);
for(int i=1;i<=pos;i++){
for(auto v:id[i]){
pq.push({r[v],{v,c[v]}});
}
ll tp=(pre[i]+pt-ans+1)/2;
while(px<tp){
if(pq.empty()) return false;
auto v=pq.top();
pq.pop();
ll dif=min(v.s.s,tp-px);
px+=dif;
pre2[1]+=dif;
pre2[l[v.s.f]]-=2*dif;
pre2[r[v.s.f]]+=2*dif;
v.s.s-=dif;
if(v.s.s>0) pq.push(v);
}
}
ll sum=0;
for(int i=1;i<=n;i++){
sum+=pre2[i];
// cout<<i<<' '<<pre[i]+sum<<'\n';
if(pre[i]+sum>ans) return false;
}
return true;
};
ll L=0,R=*max_element(all(pre));
while(L<R){
ll mid=(L+R)/2;
if(check(mid)){
R=mid;
}
else{
L=mid+1;
}
}
cout<<L<<'\n';
return 0;
}
//maybe its multiset not set
//yeeorz
//diaoborz
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