#include<iostream>
#include<vector>
#include<queue>
#include<algorithm>
#define ep emplace
#define eb emplace_back
#define fi first
#define se second
#define all(x) (x).begin(),(x).end()
using namespace std;
typedef long long ll;
typedef pair<int,int>pi;
typedef pair<ll,ll>pl;
const int inf=1e9+7;
const ll INF=1e18+7;
int n,m;
ll s[200010];
ll s2[200010];
vector<pl>qv[200010];
priority_queue<pl>pq;
inline bool able(int x,ll mx,vector<pair<pi,ll> >&v)
{
if(mx>=s[x])
return 1;
for(int i=0;i++<n;)
s2[i]=s[i]-s[i-1],qv[i].clear();
for(auto&t:v)
qv[t.fi.fi].eb(t.fi.se,t.se);
bool f=1;
ll c=0;
ll rev=s[x]-mx;
s2[0]=rev;
while(!pq.empty())
pq.pop();
for(int i=0;i++<n;)
{
s2[i]+=s2[i-1];
for(pl&t:qv[i])
pq.ep(t);
ll rn=s2[i]>mx?(s2[i]-mx+1)/2:0;
while(rn>0&&!pq.empty())
{
pl t=pq.top();
if(t.fi<i)
break;
pq.pop();
c+=min(t.se,rn);
s2[i]-=2*min(t.se,rn);
s2[t.fi+1]+=2*min(t.se,rn);
if(t.se<=rn)
rn-=t.se;
else
{
t.se-=rn;
rn=0;
pq.ep(t);
}
}
if(rn>0)
{
f=0;
break;
}
}
if(f&&c<=rev)
return 1;
for(int i=0;i++<n;)
s2[i]=s[i]-s[i-1];
f=1;
c=0;
rev=s[x]-mx+1;
s2[0]=rev;
while(!pq.empty())
pq.pop();
for(int i=0;i++<n;)
{
s2[i]+=s2[i-1];
for(pl&t:qv[i])
pq.ep(t);
ll rn=s2[i]>mx?(s2[i]-mx+1)/2:0;
while(rn>0&&!pq.empty())
{
pl t=pq.top();
if(t.fi<i)
break;
pq.pop();
c+=min(t.se,rn);
s2[i]-=2*min(t.se,rn);
s2[t.fi+1]+=2*min(t.se,rn);
if(t.se<=rn)
rn-=t.se;
else
{
t.se-=rn;
rn=0;
pq.ep(t);
}
}
if(rn>0)
{
f=0;
break;
}
}
if(f&&c<=rev)
return 1;
return 0;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin>>n>>m;
vector<pair<pi,ll> >it(m);
for(auto&t:it)
cin>>t.fi.fi>>t.fi.se>>t.se;
for(auto&t:it)
if(t.fi.fi>t.fi.se)
swap(t.fi.fi,t.fi.se);
for(auto&t:it)
s[t.fi.fi]+=t.se,s[t.fi.se--]-=t.se;
s[0]=0;
for(int i=0;i++<n;)
s[i]+=s[i-1];
ll m=-1;
int mi=-1,mj=-1;
for(int i=0;i++<n;)
{
if(s[i]>m)
m=s[i],mi=i;
if(s[i]==m)
mj=i;
}
ll l=0,r=INF;
vector<pair<pi,ll> >qv;
for(auto&t:it)
if(t.fi.fi<=mi&&t.fi.se>=mi)
qv.eb(t);
while(l<r)
{
ll mid=(l+r)/2;
if(able(mi,mid,qv))
r=mid;
else
l=mid+1;
}
ll l0=l;
l=0,r=INF;
qv.clear();
for(auto&t:it)
if(t.fi.fi<=mj&&t.fi.se>=mj)
qv.eb(t);
while(l<r)
{
ll mid=(l+r)/2;
if(able(mj,mid,qv))
r=mid;
else
l=mid+1;
}
cout<<min(l,l0)<<endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
7 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
8 ms |
4984 KB |
Output is correct |
5 |
Correct |
8 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
5112 KB |
Output is correct |
7 |
Correct |
7 ms |
4984 KB |
Output is correct |
8 |
Correct |
7 ms |
4984 KB |
Output is correct |
9 |
Correct |
7 ms |
4984 KB |
Output is correct |
10 |
Correct |
7 ms |
4984 KB |
Output is correct |
11 |
Correct |
7 ms |
5112 KB |
Output is correct |
12 |
Correct |
7 ms |
5112 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
7 ms |
5116 KB |
Output is correct |
15 |
Correct |
7 ms |
4988 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
7 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
8 ms |
4984 KB |
Output is correct |
5 |
Correct |
8 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
5112 KB |
Output is correct |
7 |
Correct |
7 ms |
4984 KB |
Output is correct |
8 |
Correct |
7 ms |
4984 KB |
Output is correct |
9 |
Correct |
7 ms |
4984 KB |
Output is correct |
10 |
Correct |
7 ms |
4984 KB |
Output is correct |
11 |
Correct |
7 ms |
5112 KB |
Output is correct |
12 |
Correct |
7 ms |
5112 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
7 ms |
5116 KB |
Output is correct |
15 |
Correct |
7 ms |
4988 KB |
Output is correct |
16 |
Correct |
7 ms |
5112 KB |
Output is correct |
17 |
Correct |
8 ms |
5112 KB |
Output is correct |
18 |
Correct |
7 ms |
5112 KB |
Output is correct |
19 |
Correct |
7 ms |
5112 KB |
Output is correct |
20 |
Correct |
8 ms |
5116 KB |
Output is correct |
21 |
Correct |
7 ms |
5112 KB |
Output is correct |
22 |
Correct |
7 ms |
5112 KB |
Output is correct |
23 |
Correct |
7 ms |
5112 KB |
Output is correct |
24 |
Correct |
7 ms |
5112 KB |
Output is correct |
25 |
Correct |
9 ms |
5112 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
5112 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
7 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
8 ms |
4984 KB |
Output is correct |
5 |
Correct |
8 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
5112 KB |
Output is correct |
7 |
Correct |
7 ms |
4984 KB |
Output is correct |
8 |
Correct |
7 ms |
4984 KB |
Output is correct |
9 |
Correct |
7 ms |
4984 KB |
Output is correct |
10 |
Correct |
7 ms |
4984 KB |
Output is correct |
11 |
Correct |
7 ms |
5112 KB |
Output is correct |
12 |
Correct |
7 ms |
5112 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
7 ms |
5116 KB |
Output is correct |
15 |
Correct |
7 ms |
4988 KB |
Output is correct |
16 |
Correct |
7 ms |
5112 KB |
Output is correct |
17 |
Correct |
8 ms |
5112 KB |
Output is correct |
18 |
Correct |
7 ms |
5112 KB |
Output is correct |
19 |
Correct |
7 ms |
5112 KB |
Output is correct |
20 |
Correct |
8 ms |
5116 KB |
Output is correct |
21 |
Correct |
7 ms |
5112 KB |
Output is correct |
22 |
Correct |
7 ms |
5112 KB |
Output is correct |
23 |
Correct |
7 ms |
5112 KB |
Output is correct |
24 |
Correct |
7 ms |
5112 KB |
Output is correct |
25 |
Correct |
9 ms |
5112 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
5112 KB |
Output is correct |
28 |
Correct |
11 ms |
5244 KB |
Output is correct |
29 |
Correct |
12 ms |
5240 KB |
Output is correct |
30 |
Correct |
13 ms |
5240 KB |
Output is correct |
31 |
Correct |
13 ms |
5240 KB |
Output is correct |
32 |
Correct |
16 ms |
5368 KB |
Output is correct |
33 |
Correct |
14 ms |
5240 KB |
Output is correct |
34 |
Correct |
13 ms |
5240 KB |
Output is correct |
35 |
Correct |
14 ms |
5240 KB |
Output is correct |
36 |
Correct |
13 ms |
5240 KB |
Output is correct |
37 |
Correct |
11 ms |
5240 KB |
Output is correct |
38 |
Correct |
8 ms |
5112 KB |
Output is correct |
39 |
Correct |
10 ms |
5240 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
7 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
8 ms |
4984 KB |
Output is correct |
5 |
Correct |
8 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
5112 KB |
Output is correct |
7 |
Correct |
7 ms |
4984 KB |
Output is correct |
8 |
Correct |
7 ms |
4984 KB |
Output is correct |
9 |
Correct |
7 ms |
4984 KB |
Output is correct |
10 |
Correct |
7 ms |
4984 KB |
Output is correct |
11 |
Correct |
7 ms |
5112 KB |
Output is correct |
12 |
Correct |
7 ms |
5112 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
7 ms |
5116 KB |
Output is correct |
15 |
Correct |
7 ms |
4988 KB |
Output is correct |
16 |
Correct |
7 ms |
5112 KB |
Output is correct |
17 |
Correct |
8 ms |
5112 KB |
Output is correct |
18 |
Correct |
7 ms |
5112 KB |
Output is correct |
19 |
Correct |
7 ms |
5112 KB |
Output is correct |
20 |
Correct |
8 ms |
5116 KB |
Output is correct |
21 |
Correct |
7 ms |
5112 KB |
Output is correct |
22 |
Correct |
7 ms |
5112 KB |
Output is correct |
23 |
Correct |
7 ms |
5112 KB |
Output is correct |
24 |
Correct |
7 ms |
5112 KB |
Output is correct |
25 |
Correct |
9 ms |
5112 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
5112 KB |
Output is correct |
28 |
Correct |
11 ms |
5244 KB |
Output is correct |
29 |
Correct |
12 ms |
5240 KB |
Output is correct |
30 |
Correct |
13 ms |
5240 KB |
Output is correct |
31 |
Correct |
13 ms |
5240 KB |
Output is correct |
32 |
Correct |
16 ms |
5368 KB |
Output is correct |
33 |
Correct |
14 ms |
5240 KB |
Output is correct |
34 |
Correct |
13 ms |
5240 KB |
Output is correct |
35 |
Correct |
14 ms |
5240 KB |
Output is correct |
36 |
Correct |
13 ms |
5240 KB |
Output is correct |
37 |
Correct |
11 ms |
5240 KB |
Output is correct |
38 |
Correct |
8 ms |
5112 KB |
Output is correct |
39 |
Correct |
10 ms |
5240 KB |
Output is correct |
40 |
Correct |
447 ms |
15212 KB |
Output is correct |
41 |
Correct |
380 ms |
15340 KB |
Output is correct |
42 |
Correct |
302 ms |
15212 KB |
Output is correct |
43 |
Correct |
602 ms |
14956 KB |
Output is correct |
44 |
Correct |
410 ms |
15212 KB |
Output is correct |
45 |
Correct |
704 ms |
14956 KB |
Output is correct |
46 |
Correct |
449 ms |
15084 KB |
Output is correct |
47 |
Correct |
360 ms |
15340 KB |
Output is correct |
48 |
Correct |
381 ms |
14828 KB |
Output is correct |
49 |
Correct |
216 ms |
13036 KB |
Output is correct |
50 |
Correct |
74 ms |
8952 KB |
Output is correct |
51 |
Correct |
211 ms |
12268 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
4984 KB |
Output is correct |
2 |
Correct |
7 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
8 ms |
4984 KB |
Output is correct |
5 |
Correct |
8 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
5112 KB |
Output is correct |
7 |
Correct |
7 ms |
4984 KB |
Output is correct |
8 |
Correct |
7 ms |
4984 KB |
Output is correct |
9 |
Correct |
7 ms |
4984 KB |
Output is correct |
10 |
Correct |
7 ms |
4984 KB |
Output is correct |
11 |
Correct |
7 ms |
5112 KB |
Output is correct |
12 |
Correct |
7 ms |
5112 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
7 ms |
5116 KB |
Output is correct |
15 |
Correct |
7 ms |
4988 KB |
Output is correct |
16 |
Correct |
7 ms |
5112 KB |
Output is correct |
17 |
Correct |
8 ms |
5112 KB |
Output is correct |
18 |
Correct |
7 ms |
5112 KB |
Output is correct |
19 |
Correct |
7 ms |
5112 KB |
Output is correct |
20 |
Correct |
8 ms |
5116 KB |
Output is correct |
21 |
Correct |
7 ms |
5112 KB |
Output is correct |
22 |
Correct |
7 ms |
5112 KB |
Output is correct |
23 |
Correct |
7 ms |
5112 KB |
Output is correct |
24 |
Correct |
7 ms |
5112 KB |
Output is correct |
25 |
Correct |
9 ms |
5112 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
5112 KB |
Output is correct |
28 |
Correct |
11 ms |
5244 KB |
Output is correct |
29 |
Correct |
12 ms |
5240 KB |
Output is correct |
30 |
Correct |
13 ms |
5240 KB |
Output is correct |
31 |
Correct |
13 ms |
5240 KB |
Output is correct |
32 |
Correct |
16 ms |
5368 KB |
Output is correct |
33 |
Correct |
14 ms |
5240 KB |
Output is correct |
34 |
Correct |
13 ms |
5240 KB |
Output is correct |
35 |
Correct |
14 ms |
5240 KB |
Output is correct |
36 |
Correct |
13 ms |
5240 KB |
Output is correct |
37 |
Correct |
11 ms |
5240 KB |
Output is correct |
38 |
Correct |
8 ms |
5112 KB |
Output is correct |
39 |
Correct |
10 ms |
5240 KB |
Output is correct |
40 |
Correct |
447 ms |
15212 KB |
Output is correct |
41 |
Correct |
380 ms |
15340 KB |
Output is correct |
42 |
Correct |
302 ms |
15212 KB |
Output is correct |
43 |
Correct |
602 ms |
14956 KB |
Output is correct |
44 |
Correct |
410 ms |
15212 KB |
Output is correct |
45 |
Correct |
704 ms |
14956 KB |
Output is correct |
46 |
Correct |
449 ms |
15084 KB |
Output is correct |
47 |
Correct |
360 ms |
15340 KB |
Output is correct |
48 |
Correct |
381 ms |
14828 KB |
Output is correct |
49 |
Correct |
216 ms |
13036 KB |
Output is correct |
50 |
Correct |
74 ms |
8952 KB |
Output is correct |
51 |
Correct |
211 ms |
12268 KB |
Output is correct |
52 |
Correct |
1186 ms |
15596 KB |
Output is correct |
53 |
Correct |
1006 ms |
17772 KB |
Output is correct |
54 |
Correct |
2203 ms |
17644 KB |
Output is correct |
55 |
Correct |
1174 ms |
17732 KB |
Output is correct |
56 |
Correct |
2362 ms |
17256 KB |
Output is correct |
57 |
Correct |
2442 ms |
17004 KB |
Output is correct |
58 |
Correct |
1413 ms |
17260 KB |
Output is correct |
59 |
Correct |
1065 ms |
17136 KB |
Output is correct |