Submission #871815

# Submission time Handle Problem Language Result Execution time Memory
871815 2023-11-11T15:59:49 Z 1075508020060209tc Tug of War (BOI15_tug) C++14
18 / 100
331 ms 30556 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);
}//return;
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.tie(0);
ios_base::sync_with_stdio(0);    

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[id]^br[id]^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(int)':
tug.cpp:27:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<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:124:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  124 |     for(int i=0;i<e[nw].size();i++){
      |                 ~^~~~~~~~~~~~~
tug.cpp:130:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  130 |             for(int j=0;j<e[v].size();j++){
      |                         ~^~~~~~~~~~~~
tug.cpp:163:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  163 | for(int i=0;i<vc.size();i++){
      |             ~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 6 ms 25688 KB Output is correct
2 Correct 5 ms 25692 KB Output is correct
3 Correct 5 ms 25692 KB Output is correct
4 Correct 5 ms 25692 KB Output is correct
5 Correct 5 ms 25796 KB Output is correct
6 Correct 5 ms 25688 KB Output is correct
7 Correct 5 ms 25692 KB Output is correct
8 Correct 5 ms 25692 KB Output is correct
9 Correct 5 ms 25884 KB Output is correct
10 Correct 5 ms 25892 KB Output is correct
11 Correct 5 ms 25692 KB Output is correct
12 Correct 5 ms 25692 KB Output is correct
13 Correct 5 ms 25904 KB Output is correct
14 Correct 5 ms 25692 KB Output is correct
15 Correct 6 ms 25692 KB Output is correct
16 Correct 5 ms 25692 KB Output is correct
17 Correct 6 ms 25692 KB Output is correct
18 Correct 5 ms 25692 KB Output is correct
19 Correct 5 ms 25916 KB Output is correct
20 Correct 5 ms 25692 KB Output is correct
21 Correct 5 ms 21596 KB Output is correct
22 Correct 6 ms 29996 KB Output is correct
23 Correct 5 ms 29784 KB Output is correct
24 Correct 5 ms 25692 KB Output is correct
25 Correct 5 ms 25692 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 25688 KB Output is correct
2 Correct 5 ms 25692 KB Output is correct
3 Correct 5 ms 25692 KB Output is correct
4 Correct 5 ms 25692 KB Output is correct
5 Correct 5 ms 25796 KB Output is correct
6 Correct 5 ms 25688 KB Output is correct
7 Correct 5 ms 25692 KB Output is correct
8 Correct 5 ms 25692 KB Output is correct
9 Correct 5 ms 25884 KB Output is correct
10 Correct 5 ms 25892 KB Output is correct
11 Correct 5 ms 25692 KB Output is correct
12 Correct 5 ms 25692 KB Output is correct
13 Correct 5 ms 25904 KB Output is correct
14 Correct 5 ms 25692 KB Output is correct
15 Correct 6 ms 25692 KB Output is correct
16 Correct 5 ms 25692 KB Output is correct
17 Correct 6 ms 25692 KB Output is correct
18 Correct 5 ms 25692 KB Output is correct
19 Correct 5 ms 25916 KB Output is correct
20 Correct 5 ms 25692 KB Output is correct
21 Correct 5 ms 21596 KB Output is correct
22 Correct 6 ms 29996 KB Output is correct
23 Correct 5 ms 29784 KB Output is correct
24 Correct 5 ms 25692 KB Output is correct
25 Correct 5 ms 25692 KB Output is correct
26 Correct 68 ms 26096 KB Output is correct
27 Correct 14 ms 25944 KB Output is correct
28 Correct 67 ms 26092 KB Output is correct
29 Correct 14 ms 25944 KB Output is correct
30 Correct 68 ms 26096 KB Output is correct
31 Correct 14 ms 25948 KB Output is correct
32 Correct 68 ms 25948 KB Output is correct
33 Correct 14 ms 25944 KB Output is correct
34 Correct 10 ms 25948 KB Output is correct
35 Correct 16 ms 26096 KB Output is correct
36 Correct 66 ms 25948 KB Output is correct
37 Correct 14 ms 25944 KB Output is correct
38 Correct 67 ms 25948 KB Output is correct
39 Correct 15 ms 26132 KB Output is correct
40 Correct 70 ms 26096 KB Output is correct
41 Correct 14 ms 25948 KB Output is correct
42 Correct 66 ms 25948 KB Output is correct
43 Correct 14 ms 25948 KB Output is correct
44 Correct 67 ms 25948 KB Output is correct
45 Correct 14 ms 26088 KB Output is correct
46 Correct 75 ms 26096 KB Output is correct
47 Correct 6 ms 21852 KB Output is correct
48 Runtime error 9 ms 30044 KB Execution failed because the return code was nonzero
49 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 316 ms 26884 KB Output is correct
2 Correct 8 ms 22364 KB Output is correct
3 Correct 324 ms 26888 KB Output is correct
4 Correct 9 ms 22364 KB Output is correct
5 Correct 311 ms 26968 KB Output is correct
6 Correct 9 ms 22364 KB Output is correct
7 Correct 318 ms 26972 KB Output is correct
8 Correct 9 ms 22364 KB Output is correct
9 Correct 310 ms 26912 KB Output is correct
10 Correct 9 ms 22364 KB Output is correct
11 Correct 314 ms 26912 KB Output is correct
12 Correct 9 ms 22360 KB Output is correct
13 Correct 316 ms 26884 KB Output is correct
14 Correct 320 ms 26968 KB Output is correct
15 Correct 9 ms 22364 KB Output is correct
16 Correct 320 ms 26968 KB Output is correct
17 Correct 9 ms 22364 KB Output is correct
18 Correct 318 ms 26968 KB Output is correct
19 Correct 9 ms 22364 KB Output is correct
20 Correct 331 ms 26972 KB Output is correct
21 Correct 9 ms 22360 KB Output is correct
22 Runtime error 10 ms 30556 KB Execution failed because the return code was nonzero
23 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 25688 KB Output is correct
2 Correct 5 ms 25692 KB Output is correct
3 Correct 5 ms 25692 KB Output is correct
4 Correct 5 ms 25692 KB Output is correct
5 Correct 5 ms 25796 KB Output is correct
6 Correct 5 ms 25688 KB Output is correct
7 Correct 5 ms 25692 KB Output is correct
8 Correct 5 ms 25692 KB Output is correct
9 Correct 5 ms 25884 KB Output is correct
10 Correct 5 ms 25892 KB Output is correct
11 Correct 5 ms 25692 KB Output is correct
12 Correct 5 ms 25692 KB Output is correct
13 Correct 5 ms 25904 KB Output is correct
14 Correct 5 ms 25692 KB Output is correct
15 Correct 6 ms 25692 KB Output is correct
16 Correct 5 ms 25692 KB Output is correct
17 Correct 6 ms 25692 KB Output is correct
18 Correct 5 ms 25692 KB Output is correct
19 Correct 5 ms 25916 KB Output is correct
20 Correct 5 ms 25692 KB Output is correct
21 Correct 5 ms 21596 KB Output is correct
22 Correct 6 ms 29996 KB Output is correct
23 Correct 5 ms 29784 KB Output is correct
24 Correct 5 ms 25692 KB Output is correct
25 Correct 5 ms 25692 KB Output is correct
26 Correct 68 ms 26096 KB Output is correct
27 Correct 14 ms 25944 KB Output is correct
28 Correct 67 ms 26092 KB Output is correct
29 Correct 14 ms 25944 KB Output is correct
30 Correct 68 ms 26096 KB Output is correct
31 Correct 14 ms 25948 KB Output is correct
32 Correct 68 ms 25948 KB Output is correct
33 Correct 14 ms 25944 KB Output is correct
34 Correct 10 ms 25948 KB Output is correct
35 Correct 16 ms 26096 KB Output is correct
36 Correct 66 ms 25948 KB Output is correct
37 Correct 14 ms 25944 KB Output is correct
38 Correct 67 ms 25948 KB Output is correct
39 Correct 15 ms 26132 KB Output is correct
40 Correct 70 ms 26096 KB Output is correct
41 Correct 14 ms 25948 KB Output is correct
42 Correct 66 ms 25948 KB Output is correct
43 Correct 14 ms 25948 KB Output is correct
44 Correct 67 ms 25948 KB Output is correct
45 Correct 14 ms 26088 KB Output is correct
46 Correct 75 ms 26096 KB Output is correct
47 Correct 6 ms 21852 KB Output is correct
48 Runtime error 9 ms 30044 KB Execution failed because the return code was nonzero
49 Halted 0 ms 0 KB -