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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#89969#5250. Combination LocksGeorge_PloverAC ✓8ms3724kbC++142.8kb2023-03-21 21:30:412023-03-21 21:30:44

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-21 21:30:44]
  • 评测
  • 测评结果:AC
  • 用时:8ms
  • 内存:3724kb
  • [2023-03-21 21:30:41]
  • 提交

answer

#include <array>
#include <queue>
#include <cstdio>
#include <vector>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#define vint vector<int>
using namespace std;

const int MAXN = 2000,MAXM = 500001,INF=1000000000;
int lin[MAXM],to[MAXM],pre[MAXN],head[MAXN],tot=1,dis[MAXN],flow[MAXM],S,T,n,m;
queue<int>q;
void init(){
    tot=1;
    memset(pre,0,sizeof(pre));
}
void add(int x,int y,int z){
    //cout<<x<<"---"<<y<<endl;
    tot++;lin[tot]=pre[x];pre[x]=tot;to[tot]=y;flow[tot]=z;
    tot++;lin[tot]=pre[y];pre[y]=tot;to[tot]=x;flow[tot]=0;
}
bool BFS(){
    memset(dis,-1,sizeof(dis));
    memset(head,-1,sizeof(head));
    dis[S]=0;
    q.push(S);
    while(!q.empty()){
        int u=q.front();q.pop();
        for(int i=pre[u];i;i=lin[i]){
            int v=to[i];
            if(flow[i]&&dis[v]==-1){
                dis[v]=dis[u]+1;
                q.push(v);
            }
        }
    }
    return dis[T]!=-1;
}
int DFS(int u,int inflow){
    if(u==T||!inflow)return inflow;
    int ret=0;
    for(int i=(head[u]==-1?pre[u]:head[u]);i;i=lin[i]){
        int v=to[i];head[u]=i;
        if(dis[v]==dis[u]+1&&flow[i]){
            int dlt=DFS(v,min(inflow,flow[i]));
            flow[i]-=dlt;
            flow[i^1]+=dlt;
            inflow-=dlt;
            ret+=dlt;
            if(!inflow)return ret;
        }
    }
    return ret;
}
int maxflow(int start){
    int ans=0;
    while(BFS())
        ans+=DFS(S,start);
    return ans;
}
int vis[MAXN];
int bitcnt[MAXN];
char a[20],b[20],s[20];

int main(){
    int t;
    for(int i=1;i<MAXN;i++)bitcnt[i]=bitcnt[i-(i&-i)]^1;
    scanf("%d",&t);
    while(t--){
        init();
        scanf("%d%d",&n,&m);
        memset(vis,0,sizeof(vis));
        scanf("%s%s",a,b);
        int st=0;
        for(int i=0;i<n;i++){
            st|=((a[i]==b[i])<<i);
        }
        vis[st]=1;
        S=(1<<n);T=S+1;
        for(int i=1;i<=m;i++){
            scanf("%s",s);
            int x=0;
            for(int j=0;j<n;j++){
                x|=((s[j]=='=')<<j);
            }
            //cout<<x<<endl;
            vis[x]=1;
        }
        for(int i=0;i<(1<<n);i++){
            if(bitcnt[i])add(S,i,1);
            else add(i,T,1);
            if(!bitcnt[i] || vis[i])continue;
            for(int j=0;j<n;j++){
                int v = i^(1<<j);
                if(!vis[v])
                    add(i,v,1);
            }
        }


        int F=maxflow(INF);
        vis[st]=0;
        for(int i=0;i<n;i++){
            int v=st^(1<<i);
            if(!vis[v]){
                if(bitcnt[v]){
                    add(v,st,1);
                }
                else{
                    add(st,v,1);
                }
            }
        }
        int G=maxflow(INF);
        if(G){
            puts("Alice");
        }
        else{
            puts("Bob");
        }
    }


    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3472kb

input:

2
1 0
0
0
1 1
0
0
.

output:

Alice
Bob

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 2ms
memory: 3472kb

input:

8
2 0
00
00
2 1
00
00
..
2 1
00
00
=.
2 2
00
00
..
=.
2 1
00
00
.=
2 2
00
00
..
.=
2 2
00
00
=.
.=
2 3
00
00
..
=.
.=

output:

Alice
Alice
Bob
Alice
Bob
Alice
Bob
Bob

result:

ok 8 lines

Test #3:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

20
4 4
4714
5245
..=.
..==
.==.
==..
4 1
2697
1438
.=..
4 5
9255
0677
...=
..==
=..=
==.=
====
4 12
3292
7326
...=
..=.
..==
.=..
.=.=
.==.
=...
=..=
=.==
==..
==.=
====
4 9
8455
2536
...=
..==
.=..
.=.=
.==.
.===
=...
==..
===.
4 12
5755
1517
...=
..=.
..==
.=..
.=.=
.===
=..=
=.=.
=.==
==..
==.=
=...

output:

Alice
Bob
Alice
Bob
Bob
Alice
Bob
Bob
Alice
Alice
Bob
Alice
Alice
Bob
Bob
Bob
Bob
Bob
Bob
Bob

result:

ok 20 lines

Test #4:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

20
5 30
99942
90170
.....
....=
...==
..=..
..=.=
..==.
..===
.=...
.=..=
.=.=.
.=.==
.==..
.==.=
.===.
.====
=...=
=..=.
=..==
=.=..
=.=.=
=.==.
=.===
==...
==..=
==.=.
==.==
===..
===.=
====.
=====
5 14
11760
95480
...=.
...==
..=..
..=.=
.=...
.=..=
.====
=....
=...=
=.=..
=.==.
==...
==.==
=====...

output:

Bob
Alice
Alice
Alice
Alice
Bob
Bob
Bob
Alice
Alice
Alice
Bob
Alice
Alice
Alice
Alice
Alice
Alice
Alice
Bob

result:

ok 20 lines

Test #5:

score: 0
Accepted
time: 2ms
memory: 3464kb

input:

20
6 62
188256
588825
......
.....=
....=.
....==
...=..
...=.=
...==.
...===
..=...
..=..=
..=.=.
..=.==
..==..
..==.=
..===.
..====
.=....
.=...=
.=..=.
.=..==
.=.=..
.=.=.=
.=.==.
.=.===
.==..=
.==.=.
.==.==
.===..
.===.=
.=====
=.....
=....=
=...=.
=...==
=..=..
=..=.=
=..==.
=..===
=.=...
=.=.....

output:

Bob
Bob
Alice
Alice
Alice
Bob
Bob
Bob
Bob
Alice
Bob
Bob
Alice
Alice
Alice
Bob
Alice
Alice
Alice
Alice

result:

ok 20 lines

Test #6:

score: 0
Accepted
time: 3ms
memory: 3488kb

input:

20
7 34
1829551
8802318
....=.=
...=.==
...===.
..=..=.
..=..==
..=.==.
.=...==
.=..===
.=.=.=.
.=.==..
.==....
.==...=
.==.=.=
.==.===
.===.==
=.....=
=..=.=.
=..=.==
=..==..
=..==.=
=.=.=..
=.=.=.=
=.==..=
=.==.=.
=.===..
=.===.=
=.=====
==.....
==..===
==.==.=
===....
===..==
====.==
=====.=
7 56...

output:

Alice
Bob
Bob
Alice
Bob
Bob
Alice
Bob
Alice
Bob
Alice
Alice
Alice
Bob
Bob
Alice
Bob
Bob
Alice
Bob

result:

ok 20 lines

Test #7:

score: 0
Accepted
time: 3ms
memory: 3512kb

input:

20
8 101
98515990
35971617
......==
....==..
....==.=
...=.=..
...=.=.=
...=.==.
...==...
...==.==
...===..
...===.=
...====.
..=..=..
..=..==.
..=.=..=
..=.=.==
..=.==.=
..=.===.
..==...=
..==..==
..==.=..
..==.=.=
..===..=
.=...=..
.=...=.=
.=...===
.=..=...
.=..=..=
.=..==.=
.=..===.
.=..====
.=....

output:

Alice
Alice
Bob
Alice
Alice
Alice
Alice
Bob
Bob
Bob
Bob
Bob
Bob
Alice
Bob
Alice
Bob
Bob
Alice
Bob

result:

ok 20 lines

Test #8:

score: 0
Accepted
time: 5ms
memory: 3632kb

input:

20
9 280
799210637
072013670
.........
......=.=
......==.
.....=...
.....=..=
.....=.=.
.....===.
.....====
....=....
....=.==.
....==...
....==..=
....==.==
....=====
...=.....
...=....=
...=...==
...=..=..
...=..=.=
...=..==.
...=.=...
...=.=..=
...=.=.=.
...=.=.==
...=.==.=
...=.====
...==..=.
....

output:

Alice
Bob
Bob
Alice
Bob
Bob
Alice
Alice
Bob
Bob
Bob
Bob
Alice
Bob
Bob
Alice
Alice
Bob
Alice
Bob

result:

ok 20 lines

Test #9:

score: 0
Accepted
time: 2ms
memory: 3476kb

input:

20
3 0
000
000
3 1
000
000
...
3 1
000
000
=..
3 2
000
000
...
=..
3 1
000
000
.=.
3 2
000
000
...
.=.
3 2
000
000
=..
.=.
3 3
000
000
...
=..
.=.
3 1
000
000
==.
3 2
000
000
...
==.
3 2
000
000
=..
==.
3 3
000
000
...
=..
==.
3 2
000
000
.=.
==.
3 3
000
000
...
.=.
==.
3 3
000
000
=..
.=.
==.
3 4
0...

output:

Alice
Bob
Alice
Alice
Alice
Alice
Alice
Alice
Bob
Bob
Alice
Bob
Alice
Bob
Alice
Alice
Alice
Alice
Alice
Alice

result:

ok 20 lines

Test #10:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

20
3 2
000
000
.=.
..=
3 3
000
000
...
.=.
..=
3 3
000
000
=..
.=.
..=
3 4
000
000
...
=..
.=.
..=
3 2
000
000
==.
..=
3 3
000
000
...
==.
..=
3 3
000
000
=..
==.
..=
3 4
000
000
...
=..
==.
..=
3 3
000
000
.=.
==.
..=
3 4
000
000
...
.=.
==.
..=
3 4
000
000
=..
.=.
==.
..=
3 5
000
000
...
=..
.=.
=...

output:

Alice
Alice
Alice
Alice
Alice
Bob
Alice
Alice
Alice
Alice
Alice
Alice
Bob
Bob
Alice
Bob
Alice
Bob
Alice
Alice

result:

ok 20 lines

Test #11:

score: 0
Accepted
time: 2ms
memory: 3648kb

input:

20
3 2
000
000
==.
=.=
3 3
000
000
...
==.
=.=
3 3
000
000
=..
==.
=.=
3 4
000
000
...
=..
==.
=.=
3 3
000
000
.=.
==.
=.=
3 4
000
000
...
.=.
==.
=.=
3 4
000
000
=..
.=.
==.
=.=
3 5
000
000
...
=..
.=.
==.
=.=
3 2
000
000
..=
=.=
3 3
000
000
...
..=
=.=
3 3
000
000
=..
..=
=.=
3 4
000
000
...
=..
....

output:

Bob
Bob
Bob
Bob
Bob
Bob
Alice
Bob
Alice
Bob
Alice
Alice
Alice
Alice
Alice
Alice
Bob
Bob
Alice
Bob

result:

ok 20 lines

Test #12:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

20
3 4
000
000
.=.
==.
..=
=.=
3 5
000
000
...
.=.
==.
..=
=.=
3 5
000
000
=..
.=.
==.
..=
=.=
3 6
000
000
...
=..
.=.
==.
..=
=.=
3 1
000
000
.==
3 2
000
000
...
.==
3 2
000
000
=..
.==
3 3
000
000
...
=..
.==
3 2
000
000
.=.
.==
3 3
000
000
...
.=.
.==
3 3
000
000
=..
.=.
.==
3 4
000
000
...
=..
....

output:

Alice
Alice
Alice
Alice
Bob
Bob
Alice
Bob
Alice
Bob
Alice
Alice
Bob
Bob
Bob
Bob
Bob
Bob
Alice
Bob

result:

ok 20 lines

Test #13:

score: 0
Accepted
time: 2ms
memory: 3592kb

input:

20
3 2
000
000
..=
.==
3 3
000
000
...
..=
.==
3 3
000
000
=..
..=
.==
3 4
000
000
...
=..
..=
.==
3 3
000
000
.=.
..=
.==
3 4
000
000
...
.=.
..=
.==
3 4
000
000
=..
.=.
..=
.==
3 5
000
000
...
=..
.=.
..=
.==
3 3
000
000
==.
..=
.==
3 4
000
000
...
==.
..=
.==
3 4
000
000
=..
==.
..=
.==
3 5
000
0...

output:

Alice
Bob
Alice
Alice
Alice
Alice
Alice
Alice
Bob
Bob
Alice
Alice
Alice
Bob
Alice
Alice
Bob
Bob
Bob
Bob

result:

ok 20 lines

Test #14:

score: 0
Accepted
time: 1ms
memory: 3436kb

input:

20
3 3
000
000
.=.
=.=
.==
3 4
000
000
...
.=.
=.=
.==
3 4
000
000
=..
.=.
=.=
.==
3 5
000
000
...
=..
.=.
=.=
.==
3 3
000
000
==.
=.=
.==
3 4
000
000
...
==.
=.=
.==
3 4
000
000
=..
==.
=.=
.==
3 5
000
000
...
=..
==.
=.=
.==
3 4
000
000
.=.
==.
=.=
.==
3 5
000
000
...
.=.
==.
=.=
.==
3 5
000
000
=...

output:

Bob
Bob
Alice
Alice
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Alice
Bob
Alice
Bob
Alice
Alice

result:

ok 20 lines

Test #15:

score: 0
Accepted
time: 1ms
memory: 3464kb

input:

8
3 4
000
000
==.
..=
=.=
.==
3 5
000
000
...
==.
..=
=.=
.==
3 5
000
000
=..
==.
..=
=.=
.==
3 6
000
000
...
=..
==.
..=
=.=
.==
3 5
000
000
.=.
==.
..=
=.=
.==
3 6
000
000
...
.=.
==.
..=
=.=
.==
3 6
000
000
=..
.=.
==.
..=
=.=
.==
3 7
000
000
...
=..
.=.
==.
..=
=.=
.==

output:

Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob

result:

ok 8 lines

Test #16:

score: 0
Accepted
time: 8ms
memory: 3604kb

input:

20
10 815
4819325421
9470583705
.........=
........=.
.......=..
.......=.=
.......==.
.......===
......=...
......=..=
......=.=.
......=.==
......==..
......===.
......====
.....=....
.....=..==
.....=.=..
.....==...
.....==..=
.....==.=.
.....==.==
.....===..
.....===.=
.....====.
.....=====
.......

output:

Alice
Alice
Alice
Bob
Alice
Alice
Alice
Alice
Alice
Bob
Alice
Alice
Bob
Bob
Alice
Bob
Alice
Alice
Alice
Alice

result:

ok 20 lines

Test #17:

score: 0
Accepted
time: 5ms
memory: 3724kb

input:

20
10 7
9410870639
8237933369
.....=.=.=
...==.==..
..===....=
=..==..=.=
=..==.=.==
=.====.=.=
====.===.=
10 285
0225666838
4493031931
..........
.......=..
.......===
......==..
......==.=
......===.
.....=.=..
.....=.===
.....==...
.....==.==
.....===..
....=...=.
....=..===
....=.=...
....=.=..=...

output:

Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob
Bob

result:

ok 20 lines