#include <bits/stdc++.h>
#define ll long long
#define str string
#define ins insert
#define ld long double
#define pb push_back
#define pf push_front
#define pof pop_front()
#define pob pop_back()
#define lb lower_bound
#define ub upper_bound
#define endl "\n"
#define fr first
#define sc second
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define sz size()
#define vll vector<ll>
#define bc back()
#define arr array
#define pll vector<pair<ll,ll>>
using namespace std;/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<ll, null_type,less_equal<ll>, rb_tree_tag,tree_order_statistics_node_update>*/
template<class S,class T>
bool chmin(S &a,const T &b) {
return a>b?(a=b)==b:false;
}
template<class S,class T>
bool chmax(S &a,const T &b) {
return a<b?(a=b)==b:false;
}
//void fre(string s){freopen((s+".in").c_str(),"r",stdin);freopen((s+".out").c_str(),"w",stdout);}
void start(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
}
const ll inf=1e18;
const ll mod=998244353;
const ll N=2e5+7;
const ld eps=1e-9;
vll t(N*4),add(N*4);
vector<arr<ll,3>> a;
ll n,m;
void push(ll v,ll tl,ll tr){
if(tl!=tr){
add[v*2]+=add[v];
add[v*2+1]+=add[v];
}
t[v]+=add[v];
add[v]=0;
}
void upd(ll l,ll r,ll val,ll v=1,ll tl=1,ll tr=N){
push(v,tl,tr);
if(tl>r || tr<l)return;
if(l<=tl && tr<=r){
add[v]+=val;
push(v,tl,tr);
return;
}
ll tm=(tl+tr)/2;
upd(l,r,val,v*2,tl,tm);
upd(l,r,val,v*2+1,tm+1,tr);
t[v]=max(t[v*2],t[v*2+1]);
}
pair<ll,ll> get(ll id=0,ll v=1,ll tl=1,ll tr=N){
if(t[v]!=t[1])return {inf,-inf};
if(tl==tr){
if(id==0)return {tl,tl};
else if(id==1) return {tl,-inf};
return {inf,tl};
}
ll tm=(tl+tr)/2;
if(tl!=tr){
push(v*2,tl,tm);
push(v*2,tm+1,tr);
}
if(t[v*2]==t[1] && t[v*2+1]==t[1]){
if(id==1)return get(id,v*2,tl,tm);
else if(id==2)return get(id,v*2+1,tm+1,tr);
else return {get(1,v*2,tl,tm).fr,get(2,v*2+1,tm+1,tr).sc};
}
else if(t[v*2]==t[1])return get(id,v*2,tl,tm);
return get(id,v*2+1,tm+1,tr);
}
ll get2(ll l,ll r,ll v=1,ll tl=1,ll tr=N){
push(v,tl,tr);
if(l<=tl && tr<=r)return 0;
if(tl>r || tr<l)return t[v];
ll tm=(tl+tr)/2;
return max(get2(l,r,v*2,tl,tm),get2(l,r,v*2+1,tm+1,tr));
}
bool check(ll mid){
ll i;
for(i=1;i<4*N;i++)t[i]=add[i]=0;
for(i=0;i<m;i++){
upd(a[i][0],a[i][1]-1,a[i][2]);
}
pair<ll,ll> p=get(),p2;
for(i=0;i<m;i++){
if(a[i][0]<=p.fr && a[i][1]>p.sc){
ll x=get2(a[i][0],a[i][1]-1);
x=(t[1]-x)/2;
x=min(x,a[i][2]);
if(a[i][0]>1)upd(1,a[i][0]-1,x);
upd(a[i][1],n,x);
upd(a[i][0],a[i][1]-1,-x);
p2=get();
chmin(p.fr,p2.fr);
chmax(p.sc,p2.sc);
}
if(t[1]<=mid)return true;
}
return false;
}
void solve(){
ll i,j;
cin>>n>>m;
a.resize(m);
ll sum=0;
for(i=0;i<m;i++){
for(j=0;j<3;j++)cin>>a[i][j];
if(a[i][0]>a[i][1])swap(a[i][0],a[i][1]);
sum+=a[i][2];
}
sort(all(a));
ll l=0,r=sum;
while(l+1<r){
ll mid=(l+r)/2;
if(check(mid))r=mid;
else l=mid;
}
cout<<r<<endl;
}
signed main(){
start();
ll t=1;
//cin>>t;
while(t--) solve();
return 0;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12888 KB |
Output is correct |
2 |
Correct |
4 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
12892 KB |
Output is correct |
5 |
Correct |
4 ms |
12892 KB |
Output is correct |
6 |
Correct |
4 ms |
12888 KB |
Output is correct |
7 |
Correct |
4 ms |
12892 KB |
Output is correct |
8 |
Correct |
5 ms |
12892 KB |
Output is correct |
9 |
Correct |
5 ms |
12892 KB |
Output is correct |
10 |
Correct |
4 ms |
12892 KB |
Output is correct |
11 |
Correct |
4 ms |
12892 KB |
Output is correct |
12 |
Incorrect |
4 ms |
12892 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12888 KB |
Output is correct |
2 |
Correct |
4 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
12892 KB |
Output is correct |
5 |
Correct |
4 ms |
12892 KB |
Output is correct |
6 |
Correct |
4 ms |
12888 KB |
Output is correct |
7 |
Correct |
4 ms |
12892 KB |
Output is correct |
8 |
Correct |
5 ms |
12892 KB |
Output is correct |
9 |
Correct |
5 ms |
12892 KB |
Output is correct |
10 |
Correct |
4 ms |
12892 KB |
Output is correct |
11 |
Correct |
4 ms |
12892 KB |
Output is correct |
12 |
Incorrect |
4 ms |
12892 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12888 KB |
Output is correct |
2 |
Correct |
4 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
12892 KB |
Output is correct |
5 |
Correct |
4 ms |
12892 KB |
Output is correct |
6 |
Correct |
4 ms |
12888 KB |
Output is correct |
7 |
Correct |
4 ms |
12892 KB |
Output is correct |
8 |
Correct |
5 ms |
12892 KB |
Output is correct |
9 |
Correct |
5 ms |
12892 KB |
Output is correct |
10 |
Correct |
4 ms |
12892 KB |
Output is correct |
11 |
Correct |
4 ms |
12892 KB |
Output is correct |
12 |
Incorrect |
4 ms |
12892 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12888 KB |
Output is correct |
2 |
Correct |
4 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
12892 KB |
Output is correct |
5 |
Correct |
4 ms |
12892 KB |
Output is correct |
6 |
Correct |
4 ms |
12888 KB |
Output is correct |
7 |
Correct |
4 ms |
12892 KB |
Output is correct |
8 |
Correct |
5 ms |
12892 KB |
Output is correct |
9 |
Correct |
5 ms |
12892 KB |
Output is correct |
10 |
Correct |
4 ms |
12892 KB |
Output is correct |
11 |
Correct |
4 ms |
12892 KB |
Output is correct |
12 |
Incorrect |
4 ms |
12892 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12888 KB |
Output is correct |
2 |
Correct |
4 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
12892 KB |
Output is correct |
5 |
Correct |
4 ms |
12892 KB |
Output is correct |
6 |
Correct |
4 ms |
12888 KB |
Output is correct |
7 |
Correct |
4 ms |
12892 KB |
Output is correct |
8 |
Correct |
5 ms |
12892 KB |
Output is correct |
9 |
Correct |
5 ms |
12892 KB |
Output is correct |
10 |
Correct |
4 ms |
12892 KB |
Output is correct |
11 |
Correct |
4 ms |
12892 KB |
Output is correct |
12 |
Incorrect |
4 ms |
12892 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |