Submission #871798

# Submission time Handle Problem Language Result Execution time Memory
871798 2023-11-11T15:40:53 Z 1075508020060209tc Tug of War (BOI15_tug) C++14
18 / 100
276 ms 30044 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;}
    if(tp==0){
        tota+=cr[id];
    }else{
        totb+=cr[id];
    }
    vise[id]=1;
    int v=nw^ar[id]^br[id];
    tp^=1;
    cnt++;
    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];
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;
    }
}

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]==0){
            cout<<"NO\n";return 0;
        }*/
        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]<<" ";
}*/

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;
    }
}

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:99:18: 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]
   99 |     for(int i=0;i<e[nw].size();i++){
      |                 ~^~~~~~~~~~~~~
tug.cpp:108:26: 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]
  108 |             for(int j=0;j<e[v].size();j++){
      |                         ~^~~~~~~~~~~~
tug.cpp:155:14: 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]
  155 | for(int i=0;i<vc.size();i++){
      |             ~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 24924 KB Output is correct
2 Correct 6 ms 24924 KB Output is correct
3 Correct 6 ms 24924 KB Output is correct
4 Correct 6 ms 25180 KB Output is correct
5 Correct 5 ms 24920 KB Output is correct
6 Correct 6 ms 25016 KB Output is correct
7 Correct 5 ms 24920 KB Output is correct
8 Correct 6 ms 24924 KB Output is correct
9 Correct 6 ms 24924 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 6 ms 25036 KB Output is correct
12 Correct 5 ms 24924 KB Output is correct
13 Correct 6 ms 24856 KB Output is correct
14 Correct 5 ms 25016 KB Output is correct
15 Correct 6 ms 24924 KB Output is correct
16 Correct 6 ms 25036 KB Output is correct
17 Correct 6 ms 24924 KB Output is correct
18 Correct 6 ms 24924 KB Output is correct
19 Correct 5 ms 24924 KB Output is correct
20 Correct 5 ms 25176 KB Output is correct
21 Correct 5 ms 20916 KB Output is correct
22 Correct 6 ms 29272 KB Output is correct
23 Correct 6 ms 29020 KB Output is correct
24 Correct 5 ms 24924 KB Output is correct
25 Correct 5 ms 24924 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 24924 KB Output is correct
2 Correct 6 ms 24924 KB Output is correct
3 Correct 6 ms 24924 KB Output is correct
4 Correct 6 ms 25180 KB Output is correct
5 Correct 5 ms 24920 KB Output is correct
6 Correct 6 ms 25016 KB Output is correct
7 Correct 5 ms 24920 KB Output is correct
8 Correct 6 ms 24924 KB Output is correct
9 Correct 6 ms 24924 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 6 ms 25036 KB Output is correct
12 Correct 5 ms 24924 KB Output is correct
13 Correct 6 ms 24856 KB Output is correct
14 Correct 5 ms 25016 KB Output is correct
15 Correct 6 ms 24924 KB Output is correct
16 Correct 6 ms 25036 KB Output is correct
17 Correct 6 ms 24924 KB Output is correct
18 Correct 6 ms 24924 KB Output is correct
19 Correct 5 ms 24924 KB Output is correct
20 Correct 5 ms 25176 KB Output is correct
21 Correct 5 ms 20916 KB Output is correct
22 Correct 6 ms 29272 KB Output is correct
23 Correct 6 ms 29020 KB Output is correct
24 Correct 5 ms 24924 KB Output is correct
25 Correct 5 ms 24924 KB Output is correct
26 Correct 56 ms 25300 KB Output is correct
27 Correct 14 ms 25176 KB Output is correct
28 Correct 58 ms 25180 KB Output is correct
29 Correct 14 ms 25180 KB Output is correct
30 Correct 56 ms 25180 KB Output is correct
31 Correct 14 ms 25180 KB Output is correct
32 Correct 56 ms 25180 KB Output is correct
33 Correct 14 ms 25268 KB Output is correct
34 Correct 11 ms 25180 KB Output is correct
35 Correct 14 ms 25180 KB Output is correct
36 Correct 58 ms 25296 KB Output is correct
37 Correct 14 ms 25176 KB Output is correct
38 Correct 55 ms 25176 KB Output is correct
39 Correct 15 ms 25276 KB Output is correct
40 Correct 56 ms 25180 KB Output is correct
41 Correct 14 ms 25520 KB Output is correct
42 Correct 56 ms 25176 KB Output is correct
43 Correct 14 ms 25180 KB Output is correct
44 Correct 55 ms 25180 KB Output is correct
45 Correct 14 ms 25432 KB Output is correct
46 Correct 56 ms 25180 KB Output is correct
47 Correct 7 ms 20824 KB Output is correct
48 Runtime error 8 ms 29276 KB Execution failed because the return code was nonzero
49 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 270 ms 26460 KB Output is correct
2 Correct 21 ms 21592 KB Output is correct
3 Correct 270 ms 26300 KB Output is correct
4 Correct 16 ms 21552 KB Output is correct
5 Correct 266 ms 26320 KB Output is correct
6 Correct 16 ms 21592 KB Output is correct
7 Correct 269 ms 26460 KB Output is correct
8 Correct 16 ms 21596 KB Output is correct
9 Correct 262 ms 26456 KB Output is correct
10 Correct 16 ms 21596 KB Output is correct
11 Correct 265 ms 26460 KB Output is correct
12 Correct 16 ms 21596 KB Output is correct
13 Correct 269 ms 26360 KB Output is correct
14 Correct 276 ms 26460 KB Output is correct
15 Correct 19 ms 21584 KB Output is correct
16 Correct 270 ms 26460 KB Output is correct
17 Correct 16 ms 21596 KB Output is correct
18 Correct 266 ms 26460 KB Output is correct
19 Correct 16 ms 21592 KB Output is correct
20 Correct 269 ms 26460 KB Output is correct
21 Correct 16 ms 21592 KB Output is correct
22 Runtime error 18 ms 30044 KB Execution failed because the return code was nonzero
23 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5 ms 24924 KB Output is correct
2 Correct 6 ms 24924 KB Output is correct
3 Correct 6 ms 24924 KB Output is correct
4 Correct 6 ms 25180 KB Output is correct
5 Correct 5 ms 24920 KB Output is correct
6 Correct 6 ms 25016 KB Output is correct
7 Correct 5 ms 24920 KB Output is correct
8 Correct 6 ms 24924 KB Output is correct
9 Correct 6 ms 24924 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 6 ms 25036 KB Output is correct
12 Correct 5 ms 24924 KB Output is correct
13 Correct 6 ms 24856 KB Output is correct
14 Correct 5 ms 25016 KB Output is correct
15 Correct 6 ms 24924 KB Output is correct
16 Correct 6 ms 25036 KB Output is correct
17 Correct 6 ms 24924 KB Output is correct
18 Correct 6 ms 24924 KB Output is correct
19 Correct 5 ms 24924 KB Output is correct
20 Correct 5 ms 25176 KB Output is correct
21 Correct 5 ms 20916 KB Output is correct
22 Correct 6 ms 29272 KB Output is correct
23 Correct 6 ms 29020 KB Output is correct
24 Correct 5 ms 24924 KB Output is correct
25 Correct 5 ms 24924 KB Output is correct
26 Correct 56 ms 25300 KB Output is correct
27 Correct 14 ms 25176 KB Output is correct
28 Correct 58 ms 25180 KB Output is correct
29 Correct 14 ms 25180 KB Output is correct
30 Correct 56 ms 25180 KB Output is correct
31 Correct 14 ms 25180 KB Output is correct
32 Correct 56 ms 25180 KB Output is correct
33 Correct 14 ms 25268 KB Output is correct
34 Correct 11 ms 25180 KB Output is correct
35 Correct 14 ms 25180 KB Output is correct
36 Correct 58 ms 25296 KB Output is correct
37 Correct 14 ms 25176 KB Output is correct
38 Correct 55 ms 25176 KB Output is correct
39 Correct 15 ms 25276 KB Output is correct
40 Correct 56 ms 25180 KB Output is correct
41 Correct 14 ms 25520 KB Output is correct
42 Correct 56 ms 25176 KB Output is correct
43 Correct 14 ms 25180 KB Output is correct
44 Correct 55 ms 25180 KB Output is correct
45 Correct 14 ms 25432 KB Output is correct
46 Correct 56 ms 25180 KB Output is correct
47 Correct 7 ms 20824 KB Output is correct
48 Runtime error 8 ms 29276 KB Execution failed because the return code was nonzero
49 Halted 0 ms 0 KB -