Submission #871797

# Submission time Handle Problem Language Result Execution time Memory
871797 2023-11-11T15:39:04 Z 1075508020060209tc Tug of War (BOI15_tug) C++14
18 / 100
290 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++;
    if(cnt==2){
        cout<<"NO\n";exit(0);
    }
    dfs(v);
}
}

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 6 ms 24920 KB Output is correct
2 Correct 5 ms 24924 KB Output is correct
3 Correct 6 ms 24924 KB Output is correct
4 Correct 6 ms 24924 KB Output is correct
5 Correct 5 ms 24920 KB Output is correct
6 Correct 6 ms 24924 KB Output is correct
7 Correct 7 ms 24924 KB Output is correct
8 Correct 6 ms 24924 KB Output is correct
9 Correct 6 ms 24924 KB Output is correct
10 Correct 7 ms 24924 KB Output is correct
11 Correct 5 ms 24924 KB Output is correct
12 Correct 6 ms 24924 KB Output is correct
13 Correct 6 ms 24924 KB Output is correct
14 Correct 6 ms 24924 KB Output is correct
15 Correct 5 ms 24924 KB Output is correct
16 Correct 6 ms 24924 KB Output is correct
17 Correct 6 ms 25040 KB Output is correct
18 Correct 6 ms 24924 KB Output is correct
19 Correct 6 ms 24924 KB Output is correct
20 Correct 6 ms 25040 KB Output is correct
21 Correct 5 ms 20828 KB Output is correct
22 Correct 6 ms 29124 KB Output is correct
23 Correct 6 ms 29128 KB Output is correct
24 Correct 6 ms 24924 KB Output is correct
25 Correct 5 ms 24996 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 24920 KB Output is correct
2 Correct 5 ms 24924 KB Output is correct
3 Correct 6 ms 24924 KB Output is correct
4 Correct 6 ms 24924 KB Output is correct
5 Correct 5 ms 24920 KB Output is correct
6 Correct 6 ms 24924 KB Output is correct
7 Correct 7 ms 24924 KB Output is correct
8 Correct 6 ms 24924 KB Output is correct
9 Correct 6 ms 24924 KB Output is correct
10 Correct 7 ms 24924 KB Output is correct
11 Correct 5 ms 24924 KB Output is correct
12 Correct 6 ms 24924 KB Output is correct
13 Correct 6 ms 24924 KB Output is correct
14 Correct 6 ms 24924 KB Output is correct
15 Correct 5 ms 24924 KB Output is correct
16 Correct 6 ms 24924 KB Output is correct
17 Correct 6 ms 25040 KB Output is correct
18 Correct 6 ms 24924 KB Output is correct
19 Correct 6 ms 24924 KB Output is correct
20 Correct 6 ms 25040 KB Output is correct
21 Correct 5 ms 20828 KB Output is correct
22 Correct 6 ms 29124 KB Output is correct
23 Correct 6 ms 29128 KB Output is correct
24 Correct 6 ms 24924 KB Output is correct
25 Correct 5 ms 24996 KB Output is correct
26 Correct 57 ms 25176 KB Output is correct
27 Correct 16 ms 25176 KB Output is correct
28 Correct 55 ms 25180 KB Output is correct
29 Correct 14 ms 25176 KB Output is correct
30 Correct 54 ms 25176 KB Output is correct
31 Correct 15 ms 25176 KB Output is correct
32 Correct 54 ms 25180 KB Output is correct
33 Correct 14 ms 25176 KB Output is correct
34 Correct 11 ms 25180 KB Output is correct
35 Correct 14 ms 25268 KB Output is correct
36 Correct 58 ms 25180 KB Output is correct
37 Correct 14 ms 25180 KB Output is correct
38 Correct 55 ms 25180 KB Output is correct
39 Correct 14 ms 25180 KB Output is correct
40 Correct 55 ms 25180 KB Output is correct
41 Correct 14 ms 25180 KB Output is correct
42 Correct 55 ms 25132 KB Output is correct
43 Correct 14 ms 25180 KB Output is correct
44 Correct 56 ms 25176 KB Output is correct
45 Correct 14 ms 25180 KB Output is correct
46 Correct 56 ms 25296 KB Output is correct
47 Correct 7 ms 20824 KB Output is correct
48 Incorrect 8 ms 29312 KB Output isn't correct
49 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 278 ms 26460 KB Output is correct
2 Correct 16 ms 21596 KB Output is correct
3 Correct 255 ms 26496 KB Output is correct
4 Correct 17 ms 21592 KB Output is correct
5 Correct 290 ms 26456 KB Output is correct
6 Correct 16 ms 21592 KB Output is correct
7 Correct 263 ms 26456 KB Output is correct
8 Correct 16 ms 21596 KB Output is correct
9 Correct 258 ms 26408 KB Output is correct
10 Correct 16 ms 21596 KB Output is correct
11 Correct 258 ms 26344 KB Output is correct
12 Correct 16 ms 21596 KB Output is correct
13 Correct 256 ms 26460 KB Output is correct
14 Correct 258 ms 26456 KB Output is correct
15 Correct 16 ms 21596 KB Output is correct
16 Correct 255 ms 26460 KB Output is correct
17 Correct 16 ms 21848 KB Output is correct
18 Correct 266 ms 26460 KB Output is correct
19 Correct 16 ms 21596 KB Output is correct
20 Correct 262 ms 26456 KB Output is correct
21 Correct 16 ms 21596 KB Output is correct
22 Incorrect 18 ms 30044 KB Output isn't correct
23 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 24920 KB Output is correct
2 Correct 5 ms 24924 KB Output is correct
3 Correct 6 ms 24924 KB Output is correct
4 Correct 6 ms 24924 KB Output is correct
5 Correct 5 ms 24920 KB Output is correct
6 Correct 6 ms 24924 KB Output is correct
7 Correct 7 ms 24924 KB Output is correct
8 Correct 6 ms 24924 KB Output is correct
9 Correct 6 ms 24924 KB Output is correct
10 Correct 7 ms 24924 KB Output is correct
11 Correct 5 ms 24924 KB Output is correct
12 Correct 6 ms 24924 KB Output is correct
13 Correct 6 ms 24924 KB Output is correct
14 Correct 6 ms 24924 KB Output is correct
15 Correct 5 ms 24924 KB Output is correct
16 Correct 6 ms 24924 KB Output is correct
17 Correct 6 ms 25040 KB Output is correct
18 Correct 6 ms 24924 KB Output is correct
19 Correct 6 ms 24924 KB Output is correct
20 Correct 6 ms 25040 KB Output is correct
21 Correct 5 ms 20828 KB Output is correct
22 Correct 6 ms 29124 KB Output is correct
23 Correct 6 ms 29128 KB Output is correct
24 Correct 6 ms 24924 KB Output is correct
25 Correct 5 ms 24996 KB Output is correct
26 Correct 57 ms 25176 KB Output is correct
27 Correct 16 ms 25176 KB Output is correct
28 Correct 55 ms 25180 KB Output is correct
29 Correct 14 ms 25176 KB Output is correct
30 Correct 54 ms 25176 KB Output is correct
31 Correct 15 ms 25176 KB Output is correct
32 Correct 54 ms 25180 KB Output is correct
33 Correct 14 ms 25176 KB Output is correct
34 Correct 11 ms 25180 KB Output is correct
35 Correct 14 ms 25268 KB Output is correct
36 Correct 58 ms 25180 KB Output is correct
37 Correct 14 ms 25180 KB Output is correct
38 Correct 55 ms 25180 KB Output is correct
39 Correct 14 ms 25180 KB Output is correct
40 Correct 55 ms 25180 KB Output is correct
41 Correct 14 ms 25180 KB Output is correct
42 Correct 55 ms 25132 KB Output is correct
43 Correct 14 ms 25180 KB Output is correct
44 Correct 56 ms 25176 KB Output is correct
45 Correct 14 ms 25180 KB Output is correct
46 Correct 56 ms 25296 KB Output is correct
47 Correct 7 ms 20824 KB Output is correct
48 Incorrect 8 ms 29312 KB Output isn't correct
49 Halted 0 ms 0 KB -