QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#293934#5250. Combination LocksLaStataleBlue#AC ✓16ms3860kbC++233.2kb2023-12-29 23:53:552023-12-29 23:53:56

Judging History

你现在查看的是最新测评结果

  • [2023-12-29 23:53:56]
  • 评测
  • 测评结果:AC
  • 用时:16ms
  • 内存:3860kb
  • [2023-12-29 23:53:55]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

using pi = pair<int,int>;
#define sz(x) int((x).size())
template<class F> struct Dinic {
    struct Edge { int to, rev; F cap; };
    int N; vector<vector<Edge>> adj;
    void init(int _N) { N = _N; adj.resize(N); } //0-based
    pi ae(int a, int b, F cap, F rcap = 0) {
        assert(min(cap,rcap) >= 0); // saved me > once
        adj[a].push_back({b,sz(adj[b]),cap});
        adj[b].push_back({a,sz(adj[a])-1,rcap});
        return {a,sz(adj[a])-1};
    }
    F edgeFlow(pi loc) { // get flow along original edge
        const Edge& e = adj.at(loc.first).at(loc.second);
        return adj.at(e.to).at(e.rev).cap;
    }
    vector<int> lev, ptr;
    bool bfs(int s,int t){//level=shortest dist from source
        lev = ptr = vector<int>(N);
        lev[s] = 1; queue<int> q({s});
        while (sz(q)) { int u = q.front(); q.pop();
            for(auto& e: adj[u]) if (e.cap && !lev[e.to]) {
                q.push(e.to), lev[e.to] = lev[u]+1;
                if (e.to == t) return 1;
            }
        }
        return 0;
    }
    F dfs(int v, int t, F flo) {
        if (v == t) return flo;
        for (int& i = ptr[v]; i < sz(adj[v]); i++) {
            Edge& e = adj[v][i];
            if (lev[e.to]!=lev[v]+1||!e.cap) continue;
            if (F df = dfs(e.to,t,min(flo,e.cap))) {
                e.cap -= df; adj[e.to][e.rev].cap += df;
                return df; } // saturated $\geq1$ one edge
        }
        return 0;
    }
    F maxFlow(int s, int t) {
        F tot = 0; while (bfs(s,t)) while (F df =
            dfs(s,t,numeric_limits<F>::max())) tot += df;
        return tot;
    }
};

void solve(){
    int n,c;
    cin>>n>>c;
    
    string s,t;
    cin>>s>>t;
    
    int nodo=0;
    for(int i=0;i<n;i++){
        if(s[i]!=t[i])nodo+=(1<<i);
    }
    
    vector ok(1<<n,true);
    for(int i=0;i<c;i++){
        string s;
        cin>>s;
        int x=0;
        for(int j=0;j<n;j++)if(s[j]=='.')x+=(1<<j);
        ok[x]=false;
    }
    
    int source = (1<<n), sink = (1<<n)+1;
    Dinic<int> ds;
    ds.init(sink+1);
    
    for(int i=0;i<(1<<n);i++){
        if(!ok[i])continue;
        
        if(__builtin_popcount(i)%2==0){
            ds.ae(source,i,1);
            for(int j=0;j<n;j++){
                int to = i^(1<<j);
                if(!ok[to])continue;
                ds.ae(i,to,1);
            }
        }else{
            ds.ae(i,sink,1);
        }
    }
    
    int flow1 = ds.maxFlow(source,sink);
    ok[nodo]=false;
    
    ds = Dinic<int>();
    ds.init(sink+1);
    
    for(int i=0;i<(1<<n);i++){
        if(!ok[i])continue;
        
        if(__builtin_popcount(i)%2==0){
            ds.ae(source,i,1);
            for(int j=0;j<n;j++){
                int to = i^(1<<j);
                if(!ok[to])continue;
                ds.ae(i,to,1);
            }
        }else{
            ds.ae(i,sink,1);
        }
    }
    
    int flow2 = ds.maxFlow(source,sink);
    
    if(flow2==flow1)cout<<"Bob\n";
    else cout<<"Alice\n";
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    
    int t=1;
    cin>>t;
    for(int i=1;i<=t;i++)solve();
    
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3572kb

input:

2
1 0
0
0
1 1
0
0
.

output:

Alice
Bob

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 0ms
memory: 3568kb

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: 1ms
memory: 3512kb

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: 1ms
memory: 3584kb

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: 1ms
memory: 3472kb

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: 1ms
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: 3648kb

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: 6ms
memory: 3600kb

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: 0ms
memory: 3448kb

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: 0ms
memory: 3520kb

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: 0ms
memory: 3580kb

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: 0ms
memory: 3504kb

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: 1ms
memory: 3532kb

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: 3568kb

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: 0ms
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: 11ms
memory: 3744kb

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: 16ms
memory: 3860kb

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