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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#325967 | #6315. 填数游戏 | littlecat# | 0 | 0ms | 0kb | C++14 | 3.4kb | 2024-02-12 06:15:08 | 2024-07-04 03:23:48 |
answer
//#define DEBUG
int TIMER=20;
#define TIME if(!TIMER--)exit(0);
#pragma GCC optimize("O3")
#include <iostream>
#include <vector>
using namespace std; const int mx=1000000; typedef pair<int,int> pi;
#define pb push_back
#define f first
#define s second
pi s1[mx],s2[mx]; bool sz1[mx],edge[mx]; vector<int> adj0[mx]; //initial sets
pi e[mx],es[mx]; vector<int> adj[mx]; //graph
int cntE,cntV; bool vis[mx]; //components
void dfs1(int c)
{
if(vis[c]) return; cntV++, cntE+=adj[c].size(), vis[c]=1;
for(int t:adj[c]) dfs1(e[t].f+e[t].s-c);
}
bool cycle[mx],cycledone; int cpar[mx], rt;
void dfs2(int c, int p)
{
cpar[c]=p; for(int t:adj[c])
{
int k=e[t].f+e[t].s-c; if(k==p) continue; if(cpar[k]==-1) dfs2(k,c); else if(!cycledone)
{rt=c,cycledone=1; while(1) {cycle[rt]=1; if(rt==k) break; rt=cpar[rt];}}
}
}
bool vis3[mx]; int cnt3;
void dfs3(int c, int p)
{
if(vis3[c]) return; vis3[c]=1; for(int t:adj[c])
{
int k=e[t].f+e[t].s-c; if(k==p) continue; dfs3(k,c);
if(!cycle[k]) cnt3+=k==es[t].f||k==es[t].s;
}
}
vector<int> cv, cn;
void getcycle(int c)
{
cn.pb(c); if(c==rt&&!cv.empty()) return; for(int t:adj[c])
{
int k=e[t].f+e[t].s-c;
if(cycle[k]&&!(!cv.empty()&&t==cv.back())) cv.pb(t), getcycle(k);
}
}
int solve()
{
#ifdef DEBUG
cout<<"Start\n"<<flush;
#endif
//note: swap m/n
int m,n,a,b,ans=0; cin>>m>>n;
for(int i=0; i<n; i++) adj0[i].clear(),adj[i].clear(), vis[i]=vis3[i]=0, cycle[i]=0, cpar[i]=-1;
for(int i=0; i<m; i++) edge[i]=1;
//input and delete |T|=1
{
for(int i=0; i<m; i++) {int c; cin>>c>>a; if(c==2) cin>>b; else b=0; s1[i]=pi(a-1,b-1);}
for(int i=0; i<m; i++) {int c; cin>>c>>a; if(c==2) cin>>b; else b=0; s2[i]=pi(a-1,b-1);
sz1[i]=2-c, adj0[a-1].pb(i); if(c==2) adj0[b-1].pb(i);}
vector<int> rm; for(int i=0; i<m; i++) if(sz1[i]) rm.pb(i);
while(!rm.empty())
{
int i=rm.back(); rm.pop_back(); if(!edge[i]) continue; if(s2[i].f==-1) return -1;
ans+=s2[i].f==s1[i].f||s2[i].f==s1[i].s;
#ifdef DEBUG
cout<<"Assign "<<i<<' '<<s2[i].f<<" ("<<s2[i].s<<")\n";
#endif
edge[i]=0; for(int j:adj0[s2[i].f]) {if(s2[j].f==s2[i].f) s2[j].f=s2[j].s; s2[j].s=-1, rm.pb(j);}
}
int E=0;
for(int i=0; i<m; i++) if(edge[i]) adj[s2[i].f].pb(E),adj[s2[i].s].pb(E), e[E]=s2[i],es[E++]=s1[i];
m=E;
}
#ifdef DEBUG
cout<<m<<' '<<ans<<'\n'; for(int i=0; i<m; i++) cout<<e[i].f<<' '<<e[i].s<<' '<<es[i].f<<' '<<es[i].s<<'\n';
for(int i=0; i<n; i++) {cout<<i<<'\t'; for(int t:adj[i]) cout<<t<<' '; cout<<'\n';} cout<<flush;
#endif
for(int i=0; i<n; i++) if(!vis[i])
{
//count edges
cntE=0, cntV=0, dfs1(i); if(cntE>2*cntV) return -1;
if(cntE==2*cntV)
{
//cycle with trees: explicit formula
cycledone=0, dfs2(i,-2);
cnt3=0, dfs3(rt,-1), ans+=cnt3;
cv.clear(), cn.clear(), getcycle(rt);
int A=0,B=0,C=0; for(int i=0; i<cn.size(); i++)
{
bool x1=cn[i]==e[cv[i]].f||cn[i]==e[cv[i]].s, x2=cn[i+1]==e[cv[i+1]].f||cn[i]==e[cv[i]].s;
if(x1&&x2) C++; else if(x1) A++; else if(x2) B++;
}
ans+=min(min(A,B)+C,(A+B+C)/2);
}
else
{
//tree with variable root: dp
throw(0);
}
}
return ans;
}
int main()
{
int T; cin.sync_with_stdio(0),cin.tie(0),cin>>T; while(T--) cout<<solve()<<'\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 0
Runtime Error
input:
20 9 10 2 5 2 2 4 3 1 3 2 4 10 2 1 7 2 1 2 2 5 3 1 6 2 2 7 2 5 4 2 4 3 2 3 9 2 10 4 2 3 1 2 1 2 2 8 7 2 2 6 2 2 7 9 10 2 2 5 2 2 8 2 7 2 2 4 7 2 6 7 2 10 9 2 9 3 2 5 7 2 1 5 2 2 1 2 8 7 2 7 10 2 4 3 2 6 5 2 9 8 2 2 3 2 6 7 2 5 4 9 10 2 2 7 2 4 10 2 5 6 2 2 6 2 9 8 2 7 5 2 3 6 2 6 3 2 7 6 2 7 8 2 5 4...
output:
result:
Test #2:
score: 0
Runtime Error
input:
20 9 10 2 4 7 2 6 10 2 9 3 2 5 6 2 7 6 2 3 2 2 4 6 2 8 1 2 3 8 2 8 7 2 10 6 2 3 4 2 5 6 2 6 7 2 1 2 2 4 5 2 8 9 2 3 2 10 10 2 2 1 2 3 7 2 6 10 2 3 4 2 7 4 2 3 4 1 5 2 8 3 2 1 4 2 6 9 2 2 1 2 2 3 2 2 6 2 4 5 2 7 4 2 4 3 2 6 5 2 10 3 2 8 4 2 9 2 10 10 2 9 8 2 7 3 2 1 2 2 10 5 1 6 2 3 2 2 4 10 2 9 1 2 ...
output:
result:
Test #3:
score: 0
Memory Limit Exceeded
input:
20 10 10 1 5 2 3 6 2 4 3 2 2 9 2 1 2 2 4 10 2 4 6 2 7 8 2 2 4 2 3 2 2 5 6 2 2 6 2 3 4 2 2 9 2 1 2 2 10 4 2 4 7 2 8 7 2 5 4 2 2 3 9 10 2 5 8 1 2 2 2 6 2 10 3 1 4 2 9 8 1 10 2 7 8 2 5 3 2 7 8 2 1 2 2 6 5 2 2 3 2 4 3 2 8 9 2 5 10 2 7 6 2 5 4 9 10 2 9 5 2 10 2 2 1 9 2 1 8 2 5 10 1 8 1 4 2 4 6 2 1 10 2 1...
output:
result:
Test #4:
score: 0
Runtime Error
input:
20 9 10 2 2 4 2 6 3 1 2 2 10 7 1 4 2 1 2 1 4 1 6 2 9 4 2 4 2 2 2 3 2 1 10 2 8 7 2 4 7 2 1 2 2 5 4 2 6 2 2 4 9 9 10 2 5 4 2 6 8 2 4 2 2 4 3 2 5 6 2 2 3 2 7 6 2 3 8 2 9 7 2 5 4 2 8 9 2 1 2 2 4 3 2 6 5 2 3 10 2 7 6 2 3 2 2 8 7 9 10 2 4 3 2 9 6 2 2 7 2 5 9 1 8 1 3 2 9 5 2 7 3 1 4 2 10 9 2 6 5 2 2 1 2 5 ...
output:
result:
Test #5:
score: 0
Memory Limit Exceeded
input:
20 10 10 2 7 3 2 6 2 1 3 2 1 4 2 3 4 1 1 2 5 4 2 1 8 1 4 2 4 8 2 7 6 2 3 2 2 8 3 2 10 4 2 5 4 2 6 1 2 5 6 2 1 2 2 9 4 2 4 3 10 10 2 2 1 1 4 2 10 3 2 2 4 1 6 2 5 9 2 6 9 1 2 2 3 8 1 2 2 2 10 2 8 4 2 4 3 2 1 2 2 6 5 2 5 4 2 9 6 2 3 2 2 7 3 2 1 2 9 10 2 9 3 1 6 2 2 1 2 9 4 1 4 2 8 1 2 8 6 1 5 1 7 2 3 2...
output:
result:
Test #6:
score: 0
Runtime Error
input:
1000 10 10 2 1 8 2 8 3 2 3 4 2 2 1 2 4 7 2 7 4 2 9 6 1 5 1 8 2 2 6 2 7 3 2 6 7 2 10 9 2 8 3 2 9 1 2 10 6 2 3 10 2 7 4 2 5 6 2 3 8 9 10 2 8 4 1 3 1 9 2 3 7 2 6 2 2 4 3 2 3 7 2 1 4 2 1 7 2 5 2 2 5 4 2 5 8 2 10 5 2 8 9 2 5 6 1 10 2 8 7 1 10 39 40 2 3 40 2 26 17 2 21 27 2 5 9 1 24 2 19 6 2 25 18 2 18 29...
output:
result:
Test #7:
score: 0
Runtime Error
input:
1000 10 10 2 2 6 1 2 1 3 1 5 2 9 10 2 6 7 1 7 2 4 8 2 9 4 1 10 2 2 1 2 3 2 2 4 3 2 5 4 2 6 5 2 7 6 2 7 8 2 9 8 2 10 9 2 10 1 9 10 2 1 2 2 2 3 1 7 1 4 2 1 6 2 7 6 2 7 3 2 4 9 2 1 9 2 2 1 2 3 2 2 4 3 2 4 5 2 6 5 2 6 7 2 8 7 2 9 8 2 9 1 9 10 2 1 7 1 10 2 3 6 2 9 5 2 5 4 1 6 2 8 7 2 8 9 2 9 8 2 1 2 2 2 ...
output:
result:
Test #8:
score: 0
Runtime Error
input:
1000 1 10 1 7 1 7 2 10 1 8 1 3 1 8 1 3 2 10 1 1 1 9 1 1 1 9 5 10 1 7 1 6 1 4 1 3 1 10 1 7 1 6 1 4 1 3 1 10 29 40 1 9 1 15 1 29 1 20 1 8 1 30 1 27 1 7 1 24 1 8 1 23 1 17 1 10 1 28 1 26 1 19 1 15 1 33 1 16 1 14 1 10 1 30 1 20 1 40 1 22 1 10 1 31 1 38 1 5 2 28 9 2 15 6 2 39 29 2 20 31 2 8 38 2 30 25 1 ...
output:
result:
Test #9:
score: 0
Runtime Error
input:
1000 5 10 1 7 2 9 8 2 1 4 1 3 2 2 9 1 7 2 9 8 2 1 4 1 3 2 2 9 6 10 2 3 6 2 2 5 2 6 3 2 2 5 2 8 9 1 4 2 6 3 2 5 2 2 6 3 2 5 2 2 9 8 1 4 8 10 1 8 2 5 6 2 5 6 2 3 8 2 9 7 2 7 9 1 4 1 10 1 8 2 6 5 2 6 5 2 8 3 2 7 9 2 7 9 1 4 1 10 6 10 1 9 1 4 1 3 2 7 1 1 5 2 1 6 1 9 1 4 1 3 2 7 1 1 5 2 1 6 6 10 2 6 1 2 ...
output:
result:
Test #10:
score: 0
Runtime Error
input:
1000 7 10 2 6 9 2 7 1 2 3 2 2 3 10 2 4 10 1 8 2 2 6 1 9 1 7 2 2 3 1 10 2 2 4 1 8 1 6 6 10 2 2 7 2 10 4 1 9 1 10 2 10 6 1 5 1 7 1 4 1 9 1 10 1 6 1 5 6 10 1 4 2 9 2 2 6 5 1 7 2 6 7 1 10 1 4 1 9 1 5 1 7 1 6 1 10 6 10 2 2 8 1 7 2 3 6 2 6 4 2 10 4 1 8 2 4 2 1 7 2 2 3 1 6 1 10 1 8 6 10 1 5 2 1 2 1 7 2 2 6...
output:
result:
Test #11:
score: 0
Runtime Error
input:
1000 5 10 1 1 2 6 5 1 5 2 9 7 1 8 2 1 2 1 6 2 1 3 1 7 1 8 7 10 1 8 2 4 7 2 8 5 1 10 2 2 9 1 7 1 6 1 8 1 4 1 5 1 10 1 9 1 7 1 6 5 10 2 2 5 2 4 9 2 9 8 2 9 10 1 6 1 5 1 4 1 8 1 9 1 6 6 10 2 2 5 2 10 7 1 4 2 6 4 1 8 2 5 7 1 5 1 10 1 4 1 6 1 8 1 7 5 10 2 7 8 2 3 1 1 6 1 1 1 8 1 7 2 1 3 1 6 2 1 2 1 8 5 1...
output:
result:
Test #12:
score: 0
Runtime Error
input:
1000 89 100 2 7 10 2 44 79 2 90 72 2 81 82 2 97 98 1 26 2 12 11 2 19 22 2 75 76 2 87 57 2 93 20 2 14 15 1 18 2 52 56 2 63 65 1 52 2 19 69 2 17 30 1 80 2 87 88 2 32 79 2 65 57 2 10 99 2 74 71 1 90 2 61 62 2 61 40 2 15 59 2 78 53 1 71 2 82 36 2 29 8 2 17 18 2 92 67 2 81 63 2 4 5 2 51 54 2 14 13 1 62 2...
output:
result:
Test #13:
score: 0
Runtime Error
input:
1000 94 100 2 52 4 1 59 1 47 1 59 2 42 94 2 12 13 2 71 87 2 60 59 2 57 47 2 94 70 1 64 2 12 27 2 77 94 2 50 35 1 5 2 70 58 2 64 56 2 67 68 2 21 29 1 26 2 100 73 2 92 93 1 73 2 71 72 2 38 36 2 50 20 1 74 2 47 87 1 4 1 76 2 92 99 2 82 64 2 48 49 2 15 14 2 38 69 1 51 2 55 42 1 68 1 45 2 21 16 1 30 2 91...
output:
result:
Test #14:
score: 0
Runtime Error
input:
1000 88 90 2 59 42 1 45 2 68 83 2 36 2 2 89 70 1 7 1 8 2 67 55 2 81 47 2 76 36 1 68 2 86 27 1 8 1 12 1 4 2 64 21 2 11 1 2 6 69 2 39 58 2 39 40 1 3 2 39 76 1 62 2 43 69 1 53 1 79 2 78 65 2 85 1 1 75 2 47 87 2 26 41 2 17 38 1 2 2 25 41 2 86 71 1 37 2 31 80 1 14 2 47 12 2 66 78 2 28 83 1 57 1 69 2 53 6...
output:
result:
Test #15:
score: 0
Runtime Error
input:
1000 86 90 1 2 2 2 79 2 4 89 2 55 4 2 12 6 2 6 70 2 7 9 2 8 39 2 30 10 2 10 35 2 70 8 2 12 13 1 13 2 14 35 2 15 21 2 42 16 1 28 1 18 1 19 2 75 20 2 21 5 2 81 22 2 55 23 2 24 19 1 25 1 62 1 27 1 28 2 59 29 2 31 30 2 32 31 1 32 1 33 1 35 1 35 2 36 70 2 85 29 2 39 38 1 39 1 40 2 18 41 1 42 2 84 44 2 44...
output:
result:
Test #16:
score: 0
Runtime Error
input:
1000 90 90 2 25 2 2 27 3 2 85 4 2 5 4 2 19 6 2 6 7 2 50 7 2 9 69 1 10 1 11 1 11 1 13 2 14 16 1 15 1 16 2 88 16 1 26 2 76 19 2 19 20 1 20 1 22 2 53 22 2 26 24 1 25 2 25 26 2 8 61 1 23 2 66 29 2 21 30 1 31 2 32 1 2 67 32 2 56 34 1 34 2 36 35 1 36 2 37 40 2 20 39 1 40 2 65 41 2 64 42 2 74 54 2 24 44 2 ...
output:
result:
Test #17:
score: 0
Runtime Error
input:
1000 76 90 1 3 1 83 1 67 1 28 1 17 1 63 1 16 1 13 1 27 1 75 1 12 1 85 1 19 1 40 1 30 1 32 1 58 1 20 1 83 1 72 1 50 1 11 1 53 1 39 1 3 1 58 1 71 1 31 1 6 1 35 1 20 1 62 1 43 1 63 1 32 1 51 1 55 1 73 1 33 1 8 1 34 1 21 1 55 1 44 1 50 1 81 1 84 1 88 1 65 1 53 1 28 1 40 1 14 1 77 1 4 1 87 1 13 1 89 1 11...
output:
result:
Test #18:
score: 0
Runtime Error
input:
1000 83 90 1 34 1 30 1 86 1 13 1 82 1 25 1 83 1 45 1 26 1 12 1 49 1 56 1 73 1 40 1 35 1 34 1 5 1 80 1 69 1 81 1 25 1 67 1 20 1 54 1 62 1 83 1 21 1 35 1 52 1 67 1 47 1 69 1 11 1 85 1 31 1 33 1 51 1 4 1 9 1 63 1 18 1 41 1 63 1 11 1 48 1 43 1 65 1 53 1 61 1 2 1 5 1 76 1 75 1 77 1 64 1 78 1 14 1 72 1 8 ...
output:
result:
Test #19:
score: 0
Runtime Error
input:
1000 62 90 1 59 2 46 10 2 85 2 2 79 41 2 34 88 2 49 7 2 66 19 2 77 75 2 26 86 2 68 13 2 71 85 2 11 29 2 65 74 2 80 19 2 87 48 2 17 27 2 21 46 1 44 2 30 27 1 20 2 86 58 2 85 40 2 40 36 2 1 27 2 74 44 1 72 2 14 12 2 18 29 2 39 33 2 66 19 2 90 60 2 47 62 2 52 90 2 12 80 2 68 75 2 51 29 2 1 57 1 61 2 43...
output:
result:
Test #20:
score: 0
Runtime Error
input:
1000 65 90 2 33 90 2 61 28 2 39 71 2 58 78 2 9 41 2 70 84 2 20 64 2 26 3 2 73 57 2 21 4 2 89 88 2 69 85 2 82 55 2 20 39 2 5 27 2 9 42 2 64 25 2 85 81 2 26 3 1 15 2 87 60 2 86 1 2 10 22 2 66 28 2 66 12 2 19 14 2 8 33 2 84 70 2 11 39 1 16 2 75 37 2 47 39 1 51 2 78 57 2 19 18 2 77 74 2 59 15 2 76 65 2 ...
output:
result:
Test #21:
score: 0
Runtime Error
input:
1000 76 90 2 15 3 2 61 68 2 35 15 2 67 86 1 36 1 40 2 13 12 2 30 37 2 14 64 2 29 68 2 15 14 2 17 25 2 11 12 2 79 13 2 62 7 2 35 1 2 42 71 2 33 38 1 85 2 47 17 2 39 37 2 60 6 1 77 1 57 2 39 29 1 71 2 30 47 2 30 33 2 64 79 2 42 77 2 45 38 2 33 1 2 75 76 2 18 26 1 18 2 57 56 2 19 55 2 7 81 2 53 19 2 56...
output:
result:
Test #22:
score: 0
Runtime Error
input:
1000 80 90 2 48 50 2 20 23 2 82 8 1 4 1 40 2 69 59 2 13 67 2 6 86 2 3 74 2 9 38 1 9 1 79 1 18 2 15 14 1 31 2 77 21 2 33 72 2 56 39 2 32 33 2 90 89 2 86 83 2 90 13 2 34 26 2 23 68 1 50 2 65 83 1 77 2 79 69 2 25 26 2 44 43 2 74 84 2 13 12 1 62 1 71 2 26 70 2 2 83 2 7 20 2 23 1 2 11 12 2 78 7 1 58 1 65...
output:
result:
Test #23:
score: 0
Runtime Error
input:
1000 82 90 2 36 58 2 64 41 2 1 12 2 6 90 2 50 15 2 30 27 2 42 87 2 89 33 2 47 28 1 70 1 17 1 20 2 33 62 2 31 7 2 4 69 2 83 37 2 55 36 2 35 32 2 29 11 1 57 2 53 52 2 9 53 2 88 66 1 21 1 22 2 28 39 2 11 12 1 5 2 78 56 2 59 57 2 63 8 2 85 62 2 84 16 2 48 49 2 7 61 2 3 9 1 4 1 50 1 80 2 62 43 2 77 50 2 ...
output:
result:
Test #24:
score: 0
Runtime Error
input:
1000 83 90 2 71 72 2 6 16 2 78 3 2 24 25 2 39 65 2 19 9 2 10 14 1 30 2 86 65 2 17 18 1 47 2 69 68 1 7 2 64 7 2 31 68 2 90 89 2 85 4 2 22 79 2 12 62 2 56 66 1 83 1 88 2 43 45 2 50 20 2 15 14 2 38 59 1 32 1 80 2 33 6 1 61 2 15 41 2 47 20 2 78 52 2 1 13 1 18 2 6 63 2 70 62 2 25 27 1 74 2 8 2 2 65 41 2 ...
output:
result:
Test #25:
score: 0
Runtime Error
input:
1000 80 90 2 66 52 2 74 17 2 42 71 2 59 58 2 86 21 1 81 2 25 63 1 52 1 1 1 25 2 2 22 1 89 1 39 1 28 2 78 85 2 67 76 1 85 2 30 31 2 12 13 2 25 38 1 33 2 38 71 1 9 2 62 61 1 16 1 54 2 52 66 2 5 15 2 14 13 2 69 3 2 70 66 2 37 25 2 21 27 2 34 6 2 44 85 2 12 33 1 75 2 51 53 2 4 45 2 39 82 1 26 1 15 2 46 ...