#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;
int in[N],w[N];
vector<int> v[N];
tii a[N];
struct ST{
int 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,int 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];
}
int 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;
bool ok2(int c,int d){
for(int i=1;i<=n;i++){
w[i]=c-m+in[i]+d;
if(w[i]<0) return false;
w[i]/=2;
}
T.init(1,1,n);
int ret=0;
for(int r=1;r<n;r++){
for(int l: v[r]){
if(T.qry(1,1,n,l,r)==0) break;
T.upd(1,1,n,l,r,-1);
ret++;
}
}
return ret>=d;
}
bool ok(int c){
for(int i=0;i<=n;i++) if(ok2(c,i)){
//debug(c,i);
return true;
}
return false;
}
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]);
for(int j=a[i][0];j<a[i][1];j++) in[j]++;
v[a[i][1]-1].emplace_back(a[i][0]);
}
for(int i=1;i<=n;i++) sort(v[i].begin(),v[i].end(),greater<>());
int L=1,R=m-1,ans=m;
while(L<=R){
int M=(L+R)>>1;
if(ok(M)){
ans=M;
R=M-1;
} else L=M+1;
}
cout<<ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4932 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
5028 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 |
5028 KB |
Output is correct |
10 |
Correct |
3 ms |
5024 KB |
Output is correct |
11 |
Correct |
3 ms |
5032 KB |
Output is correct |
12 |
Correct |
2 ms |
5032 KB |
Output is correct |
13 |
Correct |
3 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
3 ms |
5040 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4932 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
5028 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 |
5028 KB |
Output is correct |
10 |
Correct |
3 ms |
5024 KB |
Output is correct |
11 |
Correct |
3 ms |
5032 KB |
Output is correct |
12 |
Correct |
2 ms |
5032 KB |
Output is correct |
13 |
Correct |
3 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
3 ms |
5040 KB |
Output is correct |
16 |
Correct |
17 ms |
5072 KB |
Output is correct |
17 |
Correct |
17 ms |
4948 KB |
Output is correct |
18 |
Correct |
14 ms |
4948 KB |
Output is correct |
19 |
Correct |
20 ms |
5076 KB |
Output is correct |
20 |
Correct |
15 ms |
5028 KB |
Output is correct |
21 |
Correct |
25 ms |
5072 KB |
Output is correct |
22 |
Correct |
24 ms |
5032 KB |
Output is correct |
23 |
Correct |
13 ms |
5072 KB |
Output is correct |
24 |
Correct |
17 ms |
5076 KB |
Output is correct |
25 |
Correct |
30 ms |
5080 KB |
Output is correct |
26 |
Correct |
15 ms |
4948 KB |
Output is correct |
27 |
Correct |
14 ms |
5072 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4932 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
5028 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 |
5028 KB |
Output is correct |
10 |
Correct |
3 ms |
5024 KB |
Output is correct |
11 |
Correct |
3 ms |
5032 KB |
Output is correct |
12 |
Correct |
2 ms |
5032 KB |
Output is correct |
13 |
Correct |
3 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
3 ms |
5040 KB |
Output is correct |
16 |
Correct |
17 ms |
5072 KB |
Output is correct |
17 |
Correct |
17 ms |
4948 KB |
Output is correct |
18 |
Correct |
14 ms |
4948 KB |
Output is correct |
19 |
Correct |
20 ms |
5076 KB |
Output is correct |
20 |
Correct |
15 ms |
5028 KB |
Output is correct |
21 |
Correct |
25 ms |
5072 KB |
Output is correct |
22 |
Correct |
24 ms |
5032 KB |
Output is correct |
23 |
Correct |
13 ms |
5072 KB |
Output is correct |
24 |
Correct |
17 ms |
5076 KB |
Output is correct |
25 |
Correct |
30 ms |
5080 KB |
Output is correct |
26 |
Correct |
15 ms |
4948 KB |
Output is correct |
27 |
Correct |
14 ms |
5072 KB |
Output is correct |
28 |
Correct |
1935 ms |
5224 KB |
Output is correct |
29 |
Correct |
4680 ms |
5220 KB |
Output is correct |
30 |
Correct |
3580 ms |
5228 KB |
Output is correct |
31 |
Correct |
4866 ms |
5220 KB |
Output is correct |
32 |
Correct |
3945 ms |
5216 KB |
Output is correct |
33 |
Correct |
4842 ms |
5224 KB |
Output is correct |
34 |
Execution timed out |
6005 ms |
5204 KB |
Time limit exceeded |
35 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4932 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
5028 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 |
5028 KB |
Output is correct |
10 |
Correct |
3 ms |
5024 KB |
Output is correct |
11 |
Correct |
3 ms |
5032 KB |
Output is correct |
12 |
Correct |
2 ms |
5032 KB |
Output is correct |
13 |
Correct |
3 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
3 ms |
5040 KB |
Output is correct |
16 |
Correct |
17 ms |
5072 KB |
Output is correct |
17 |
Correct |
17 ms |
4948 KB |
Output is correct |
18 |
Correct |
14 ms |
4948 KB |
Output is correct |
19 |
Correct |
20 ms |
5076 KB |
Output is correct |
20 |
Correct |
15 ms |
5028 KB |
Output is correct |
21 |
Correct |
25 ms |
5072 KB |
Output is correct |
22 |
Correct |
24 ms |
5032 KB |
Output is correct |
23 |
Correct |
13 ms |
5072 KB |
Output is correct |
24 |
Correct |
17 ms |
5076 KB |
Output is correct |
25 |
Correct |
30 ms |
5080 KB |
Output is correct |
26 |
Correct |
15 ms |
4948 KB |
Output is correct |
27 |
Correct |
14 ms |
5072 KB |
Output is correct |
28 |
Correct |
1935 ms |
5224 KB |
Output is correct |
29 |
Correct |
4680 ms |
5220 KB |
Output is correct |
30 |
Correct |
3580 ms |
5228 KB |
Output is correct |
31 |
Correct |
4866 ms |
5220 KB |
Output is correct |
32 |
Correct |
3945 ms |
5216 KB |
Output is correct |
33 |
Correct |
4842 ms |
5224 KB |
Output is correct |
34 |
Execution timed out |
6005 ms |
5204 KB |
Time limit exceeded |
35 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
2 ms |
4932 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
5028 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 |
5028 KB |
Output is correct |
10 |
Correct |
3 ms |
5024 KB |
Output is correct |
11 |
Correct |
3 ms |
5032 KB |
Output is correct |
12 |
Correct |
2 ms |
5032 KB |
Output is correct |
13 |
Correct |
3 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
3 ms |
5040 KB |
Output is correct |
16 |
Correct |
17 ms |
5072 KB |
Output is correct |
17 |
Correct |
17 ms |
4948 KB |
Output is correct |
18 |
Correct |
14 ms |
4948 KB |
Output is correct |
19 |
Correct |
20 ms |
5076 KB |
Output is correct |
20 |
Correct |
15 ms |
5028 KB |
Output is correct |
21 |
Correct |
25 ms |
5072 KB |
Output is correct |
22 |
Correct |
24 ms |
5032 KB |
Output is correct |
23 |
Correct |
13 ms |
5072 KB |
Output is correct |
24 |
Correct |
17 ms |
5076 KB |
Output is correct |
25 |
Correct |
30 ms |
5080 KB |
Output is correct |
26 |
Correct |
15 ms |
4948 KB |
Output is correct |
27 |
Correct |
14 ms |
5072 KB |
Output is correct |
28 |
Correct |
1935 ms |
5224 KB |
Output is correct |
29 |
Correct |
4680 ms |
5220 KB |
Output is correct |
30 |
Correct |
3580 ms |
5228 KB |
Output is correct |
31 |
Correct |
4866 ms |
5220 KB |
Output is correct |
32 |
Correct |
3945 ms |
5216 KB |
Output is correct |
33 |
Correct |
4842 ms |
5224 KB |
Output is correct |
34 |
Execution timed out |
6005 ms |
5204 KB |
Time limit exceeded |
35 |
Halted |
0 ms |
0 KB |
- |