Submission #871808

# Submission time Handle Problem Language Result Execution time Memory
871808 2023-11-11T15:54:00 Z 1075508020060209tc Tug of War (BOI15_tug) C++14
0 / 100
349 ms 29960 KB
//#pragma GCC optimize ("O3")
#include<bits/stdc++.h>
//#include <bits/extc++.h>
//using namespace __gnu_pbds;
using namespace std;
#define int long long
#define X first
#define Y second
int lowbit(int x){return x&-x;}
int n;int K;
vector<int>e[500005];
int vis[500005];
int vise[500005];
int dgr[500005];
int ar[500005];int br[500005];int cr[500005];
int basea;
int baseb;
bitset<600005>dp;
bitset<600005>dp2;
bitset<600005>zer;
int tota;int totb;
int tp;
void dfs(int nw){
vis[nw]=1;
//cout<<nw<<"kk"<<endl;
int cnt=0;
for(int i=0;i<e[nw].size();i++){
    int id=e[nw][i];
    if(vise[id]){continue;}
    int v=nw^ar[id]^br[id];
    if(tp==0){
        tota+=cr[id];
    }else{
        totb+=cr[id];
    }
    vise[id]=1;

    tp^=1;
    cnt++;
    if(vis[v]){continue;}
    dfs(v);
}
if(cnt>=2){
    exit(cnt);
}

}

int uf[500005];
int usz[500005];
int ues[500005];

int fin(int x){
if(uf[x]==x){return x;}
uf[x]=fin(uf[x]);
return uf[x];
}
void mrg(int a,int b){
int pa=fin(a);int pb=fin(b);
ues[pa]++;
if(pa==pb){return;}
usz[pa]+=usz[pb];
ues[pa]+=ues[pb];
uf[pb]=pa;
}


signed main(){
cin>>n>>K;
int ftot=0;
for(int i=1;i<=n+n;i++){
    int a;int b;int c;
    cin>>a>>b>>c;
    b+=n;
    ar[i]=a;br[i]=b;cr[i]=c;
    ftot+=c;
    dgr[a]++;
    dgr[b]++;
    e[a].push_back(i);
    e[b].push_back(i);
}

for(int i=1;i<=n+n;i++){
    if(dgr[i]==0){
        cout<<"NO\n";return 0;
    }
}

for(int i=1;i<=n+n;i++){
    uf[i]=i;
    usz[i]=1;
    ues[i]=0;
}
for(int i=1;i<=n+n;i++){
    //if(vise[i]){continue;}
    mrg(ar[i],br[i]);
}
for(int i=1;i<=n+n;i++){
    //if(vis[i]){continue;}
    if( usz[fin(i)]!=ues[fin(i)] ){
        cout<<"NO\n";return 0;
    }
}


queue<int>q;
for(int i=1;i<=n+n;i++){
    if(dgr[i]==1){
        q.push(i);
        vise[e[i][0]]=1;
        if( i<=n ){
            basea+=cr[e[i][0]];
        }
        vis[i]=1;
    }
}
while(q.size()){
    int nw=q.front();
    q.pop();
    vis[nw]=1;
    for(int i=0;i<e[nw].size();i++){
        int id=e[nw][i];
        if(vise[id]){continue;}
        int v=ar[i]^br[i]^nw;
        dgr[v]--;
        if(dgr[v]==1){
            for(int j=0;j<e[v].size();j++){
                int idd=e[v][j];
                if(vise[idd]){continue;}
                if(v<=n){
                    basea+=cr[idd];
                }
                vise[idd]=1;
            }
            q.push(v);
        }
    }
}/*
cout<<basea<<"\n";
for(int i=1;i<=n+n;i++){
    cout<<vis[i]<<" ";
}cout<<endl;
for(int i=1;i<=n+n;i++){
    cout<<vise[i]<<" ";
}*/



vector<pair<int,int>>vc;

for(int i=1;i<=n;i++){
    if(vis[i]){continue;}
    tota=0;
    totb=0;
    tp=0;
    dfs(i);
    vc.push_back({tota,totb});
}
dp[basea]=1;
for(int i=0;i<vc.size();i++){
    dp2=(dp<<vc[i].first);
    dp2=(dp2|(dp<<vc[i].second));
    swap(dp,dp2);
    dp2=zer;
}
for(int i=0;i<=n*20;i++){
    if(dp[i]&&(abs(ftot-i-i)<=K)){
        cout<<"YES\n";return 0;
    }
}
cout<<"NO\n";

}

Compilation message

tug.cpp: In function 'void dfs(long long int)':
tug.cpp:27:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   27 | for(int i=0;i<e[nw].size();i++){
      |             ~^~~~~~~~~~~~~
tug.cpp: In function 'int main()':
tug.cpp:121:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  121 |     for(int i=0;i<e[nw].size();i++){
      |                 ~^~~~~~~~~~~~~
tug.cpp:127:26: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  127 |             for(int j=0;j<e[v].size();j++){
      |                         ~^~~~~~~~~~~~
tug.cpp:160:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  160 | for(int i=0;i<vc.size();i++){
      |             ~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 7 ms 24924 KB Output is correct
2 Correct 5 ms 24924 KB Output is correct
3 Correct 5 ms 24924 KB Output is correct
4 Correct 5 ms 25016 KB Output is correct
5 Correct 5 ms 25036 KB Output is correct
6 Correct 5 ms 25032 KB Output is correct
7 Correct 6 ms 24924 KB Output is correct
8 Correct 5 ms 24928 KB Output is correct
9 Correct 5 ms 25040 KB Output is correct
10 Correct 6 ms 25180 KB Output is correct
11 Correct 5 ms 25016 KB Output is correct
12 Correct 6 ms 24924 KB Output is correct
13 Correct 5 ms 25036 KB Output is correct
14 Correct 5 ms 24924 KB Output is correct
15 Correct 6 ms 24924 KB Output is correct
16 Correct 5 ms 24924 KB Output is correct
17 Correct 5 ms 24924 KB Output is correct
18 Correct 5 ms 25000 KB Output is correct
19 Correct 5 ms 24924 KB Output is correct
20 Correct 6 ms 24924 KB Output is correct
21 Correct 5 ms 20828 KB Output is correct
22 Runtime error 5 ms 28868 KB Execution failed because the return code was nonzero
23 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 24924 KB Output is correct
2 Correct 5 ms 24924 KB Output is correct
3 Correct 5 ms 24924 KB Output is correct
4 Correct 5 ms 25016 KB Output is correct
5 Correct 5 ms 25036 KB Output is correct
6 Correct 5 ms 25032 KB Output is correct
7 Correct 6 ms 24924 KB Output is correct
8 Correct 5 ms 24928 KB Output is correct
9 Correct 5 ms 25040 KB Output is correct
10 Correct 6 ms 25180 KB Output is correct
11 Correct 5 ms 25016 KB Output is correct
12 Correct 6 ms 24924 KB Output is correct
13 Correct 5 ms 25036 KB Output is correct
14 Correct 5 ms 24924 KB Output is correct
15 Correct 6 ms 24924 KB Output is correct
16 Correct 5 ms 24924 KB Output is correct
17 Correct 5 ms 24924 KB Output is correct
18 Correct 5 ms 25000 KB Output is correct
19 Correct 5 ms 24924 KB Output is correct
20 Correct 6 ms 24924 KB Output is correct
21 Correct 5 ms 20828 KB Output is correct
22 Runtime error 5 ms 28868 KB Execution failed because the return code was nonzero
23 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 343 ms 26464 KB Output is correct
2 Correct 16 ms 21596 KB Output is correct
3 Correct 349 ms 26388 KB Output is correct
4 Correct 16 ms 21648 KB Output is correct
5 Correct 337 ms 26460 KB Output is correct
6 Correct 16 ms 21528 KB Output is correct
7 Correct 336 ms 26328 KB Output is correct
8 Correct 16 ms 21596 KB Output is correct
9 Correct 331 ms 26460 KB Output is correct
10 Correct 16 ms 21592 KB Output is correct
11 Correct 334 ms 26460 KB Output is correct
12 Correct 16 ms 21592 KB Output is correct
13 Correct 344 ms 26396 KB Output is correct
14 Correct 333 ms 26460 KB Output is correct
15 Correct 16 ms 21592 KB Output is correct
16 Correct 328 ms 26460 KB Output is correct
17 Correct 16 ms 21596 KB Output is correct
18 Correct 313 ms 26472 KB Output is correct
19 Correct 16 ms 21604 KB Output is correct
20 Correct 320 ms 26424 KB Output is correct
21 Correct 16 ms 21596 KB Output is correct
22 Runtime error 17 ms 29960 KB Execution failed because the return code was nonzero
23 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 24924 KB Output is correct
2 Correct 5 ms 24924 KB Output is correct
3 Correct 5 ms 24924 KB Output is correct
4 Correct 5 ms 25016 KB Output is correct
5 Correct 5 ms 25036 KB Output is correct
6 Correct 5 ms 25032 KB Output is correct
7 Correct 6 ms 24924 KB Output is correct
8 Correct 5 ms 24928 KB Output is correct
9 Correct 5 ms 25040 KB Output is correct
10 Correct 6 ms 25180 KB Output is correct
11 Correct 5 ms 25016 KB Output is correct
12 Correct 6 ms 24924 KB Output is correct
13 Correct 5 ms 25036 KB Output is correct
14 Correct 5 ms 24924 KB Output is correct
15 Correct 6 ms 24924 KB Output is correct
16 Correct 5 ms 24924 KB Output is correct
17 Correct 5 ms 24924 KB Output is correct
18 Correct 5 ms 25000 KB Output is correct
19 Correct 5 ms 24924 KB Output is correct
20 Correct 6 ms 24924 KB Output is correct
21 Correct 5 ms 20828 KB Output is correct
22 Runtime error 5 ms 28868 KB Execution failed because the return code was nonzero
23 Halted 0 ms 0 KB -