#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
using ll=long long;
using pii=array<int,2>;
using tii=array<int,3>;
const ll inf=1e18;
const int N=2e5+5;
int n,m;
ll k,in[N],w[N],ans;
vector<pii> v[N];
tii a[N];
struct ST{
ll T[2*N],D[2*N];
void init(int nd,int l,int r){
if(l==r){
T[nd]=w[l];
D[nd]=0;
return;
}
int m=(l+r)>>1,ln=nd+1,rn=nd+2*(m-l+1);
init(ln,l,m); init(rn,m+1,r);
T[nd]=min(T[ln],T[rn]);
D[nd]=0;
}
void upd(int nd,int l,int r,int s,int e,ll v){
if(r<s||e<l) return;
if(s<=l&&r<=e){
T[nd]+=v;
D[nd]+=v;
return;
}
int m=(l+r)>>1,ln=nd+1,rn=nd+2*(m-l+1);
upd(ln,l,m,s,e,v); upd(rn,m+1,r,s,e,v);
T[nd]=min(T[ln],T[rn])+D[nd];
}
ll qry(int nd,int l,int r,int s,int e){
if(r<s||e<l) return 1e9;
if(s<=l&&r<=e) return T[nd];
int m=(l+r)>>1,ln=nd+1,rn=nd+2*(m-l+1);
return min(qry(ln,l,m,s,e),qry(rn,m+1,r,s,e))+D[nd];
}
}T;
ll Do(ll s){
if(s==2*k) return 1e18;
ll ret=s;
for(int i=1;i<=n;i++){
w[i]=(s-k+in[i])/2;
}
T.init(1,1,n);
for(int r=1;r<n;r++){
for(auto [l,d]: v[r]){
ll val=T.qry(1,1,n,l,r);
if(val==0) break;
val=min(val,(ll)d);
T.upd(1,1,n,l,r,-val);
ret-=val;
}
}
return ret;
}
int main(){
ios::sync_with_stdio(false); cin.tie(0);
cin>>n>>m;
for(int i=1;i<=m;i++){
cin>>a[i][0]>>a[i][1]>>a[i][2];
if(a[i][0]>a[i][1]) swap(a[i][0],a[i][1]);
in[a[i][0]]+=a[i][2];
in[a[i][1]]-=a[i][2];
v[a[i][1]-1].push_back({a[i][0],a[i][2]});
k+=a[i][2];
}
for(int i=1;i<=n;i++) in[i]+=in[i-1];
for(int i=1;i<=n;i++) sort(v[i].begin(),v[i].end(),greater<>());
ans=k;
for(ll L=k;L<=2*k-1;){
ll s=L+2,e=2*k-1,p=L+1;
ll v1=Do(L),v2=Do(L+1);
ans=min({ans,v1,v2});
while(s<=e){
ll m=(s+e)>>1;
ll v=Do(m);
ans=min(ans,v);
if(v==v1+(v2-v1)*(m-L)){
p=m;
s=m+1;
} else e=m-1;
}
L=p;
}
cout<<ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
2 ms |
4948 KB |
Output is correct |
6 |
Correct |
2 ms |
4948 KB |
Output is correct |
7 |
Correct |
2 ms |
4948 KB |
Output is correct |
8 |
Correct |
2 ms |
4948 KB |
Output is correct |
9 |
Correct |
2 ms |
4948 KB |
Output is correct |
10 |
Correct |
2 ms |
4948 KB |
Output is correct |
11 |
Correct |
2 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
2 ms |
4948 KB |
Output is correct |
15 |
Correct |
2 ms |
4948 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
2 ms |
4948 KB |
Output is correct |
6 |
Correct |
2 ms |
4948 KB |
Output is correct |
7 |
Correct |
2 ms |
4948 KB |
Output is correct |
8 |
Correct |
2 ms |
4948 KB |
Output is correct |
9 |
Correct |
2 ms |
4948 KB |
Output is correct |
10 |
Correct |
2 ms |
4948 KB |
Output is correct |
11 |
Correct |
2 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
2 ms |
4948 KB |
Output is correct |
15 |
Correct |
2 ms |
4948 KB |
Output is correct |
16 |
Correct |
76 ms |
4948 KB |
Output is correct |
17 |
Correct |
87 ms |
5052 KB |
Output is correct |
18 |
Correct |
74 ms |
4948 KB |
Output is correct |
19 |
Correct |
75 ms |
5052 KB |
Output is correct |
20 |
Correct |
78 ms |
5052 KB |
Output is correct |
21 |
Correct |
75 ms |
5048 KB |
Output is correct |
22 |
Correct |
89 ms |
5052 KB |
Output is correct |
23 |
Correct |
76 ms |
4948 KB |
Output is correct |
24 |
Incorrect |
71 ms |
5056 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
2 ms |
4948 KB |
Output is correct |
6 |
Correct |
2 ms |
4948 KB |
Output is correct |
7 |
Correct |
2 ms |
4948 KB |
Output is correct |
8 |
Correct |
2 ms |
4948 KB |
Output is correct |
9 |
Correct |
2 ms |
4948 KB |
Output is correct |
10 |
Correct |
2 ms |
4948 KB |
Output is correct |
11 |
Correct |
2 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
2 ms |
4948 KB |
Output is correct |
15 |
Correct |
2 ms |
4948 KB |
Output is correct |
16 |
Correct |
76 ms |
4948 KB |
Output is correct |
17 |
Correct |
87 ms |
5052 KB |
Output is correct |
18 |
Correct |
74 ms |
4948 KB |
Output is correct |
19 |
Correct |
75 ms |
5052 KB |
Output is correct |
20 |
Correct |
78 ms |
5052 KB |
Output is correct |
21 |
Correct |
75 ms |
5048 KB |
Output is correct |
22 |
Correct |
89 ms |
5052 KB |
Output is correct |
23 |
Correct |
76 ms |
4948 KB |
Output is correct |
24 |
Incorrect |
71 ms |
5056 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
2 ms |
4948 KB |
Output is correct |
6 |
Correct |
2 ms |
4948 KB |
Output is correct |
7 |
Correct |
2 ms |
4948 KB |
Output is correct |
8 |
Correct |
2 ms |
4948 KB |
Output is correct |
9 |
Correct |
2 ms |
4948 KB |
Output is correct |
10 |
Correct |
2 ms |
4948 KB |
Output is correct |
11 |
Correct |
2 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
2 ms |
4948 KB |
Output is correct |
15 |
Correct |
2 ms |
4948 KB |
Output is correct |
16 |
Correct |
76 ms |
4948 KB |
Output is correct |
17 |
Correct |
87 ms |
5052 KB |
Output is correct |
18 |
Correct |
74 ms |
4948 KB |
Output is correct |
19 |
Correct |
75 ms |
5052 KB |
Output is correct |
20 |
Correct |
78 ms |
5052 KB |
Output is correct |
21 |
Correct |
75 ms |
5048 KB |
Output is correct |
22 |
Correct |
89 ms |
5052 KB |
Output is correct |
23 |
Correct |
76 ms |
4948 KB |
Output is correct |
24 |
Incorrect |
71 ms |
5056 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
2 ms |
4948 KB |
Output is correct |
6 |
Correct |
2 ms |
4948 KB |
Output is correct |
7 |
Correct |
2 ms |
4948 KB |
Output is correct |
8 |
Correct |
2 ms |
4948 KB |
Output is correct |
9 |
Correct |
2 ms |
4948 KB |
Output is correct |
10 |
Correct |
2 ms |
4948 KB |
Output is correct |
11 |
Correct |
2 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
2 ms |
4948 KB |
Output is correct |
15 |
Correct |
2 ms |
4948 KB |
Output is correct |
16 |
Correct |
76 ms |
4948 KB |
Output is correct |
17 |
Correct |
87 ms |
5052 KB |
Output is correct |
18 |
Correct |
74 ms |
4948 KB |
Output is correct |
19 |
Correct |
75 ms |
5052 KB |
Output is correct |
20 |
Correct |
78 ms |
5052 KB |
Output is correct |
21 |
Correct |
75 ms |
5048 KB |
Output is correct |
22 |
Correct |
89 ms |
5052 KB |
Output is correct |
23 |
Correct |
76 ms |
4948 KB |
Output is correct |
24 |
Incorrect |
71 ms |
5056 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |