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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#139355#5250. Combination LocksUNos_mariconesAC ✓8ms3892kbC++203.5kb2023-08-13 02:34:372023-08-13 02:34:42

Judging History

你现在查看的是最新测评结果

  • [2023-08-13 02:34:42]
  • 评测
  • 测评结果:AC
  • 用时:8ms
  • 内存:3892kb
  • [2023-08-13 02:34:37]
  • 提交

answer

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

#define ff    first
#define ss    second
#define pb    push_back

typedef long long    ll;
typedef pair<ll,ll>    ii;
typedef long double    lf;


mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

const ll SQ = 800;
const ll N = 3e5+5;
const ll mod = 1e9+7;
const ll oo = 1e18;

/// Complexity: O(|E|*|V|^2)
/// Tested: https://tinyurl.com/ya9rgoyk
struct edge { int v, cap, inv, flow; };
struct network {
  int n, s, t;
  vector<int> lvl;
  vector<vector<edge>> g;
  network(int n) : n(n), lvl(n), g(n) {}
  void add_edge(int u, int v, int c) {
//    cout << u << ' ' << v << ' ' << c << '\n';
    g[u].push_back({v, c, g[v].size(), 0});
    g[v].push_back({u, 0, g[u].size()-1, c});
  }
  bool bfs() {
    fill(lvl.begin(), lvl.end(), -1);
    queue<int> q;
    lvl[s] = 0;
    for(q.push(s); q.size(); q.pop()) {
      int u = q.front();
      for(auto &e : g[u]) {
        if(e.cap > 0 && lvl[e.v] == -1) {
          lvl[e.v] = lvl[u]+1;
          q.push(e.v);
        }
      }
    }
    return lvl[t] != -1;
  }
  int dfs(int u, int nf) {
    if(u == t) return nf;
    int res = 0;
    for(auto &e : g[u]) {
      if(e.cap > 0 && lvl[e.v] == lvl[u]+1) {
        int tf = dfs(e.v, min(nf, e.cap));
        res += tf; nf -= tf; e.cap -= tf;
        g[e.v][e.inv].cap += tf;
        g[e.v][e.inv].flow -= tf;
        e.flow += tf;
        if(nf == 0) return res;
      }
    }
    if(!res) lvl[u] = -1;
    return res;
  }
  int max_flow(int so, int si, int res = 0) {
    s = so; t = si;
    while(bfs()) res += dfs(s, INT_MAX);
    return res;
  }
};

int main(){
  #ifdef LOCAL
  freopen("input.txt","r",stdin);
  #endif // LOCAL
  ios_base::sync_with_stdio(0);
  cin.tie(0);cout.tie(0);

  int t; cin >> t;
  while (t--) {

    int n, c; cin >> n >> c;
    string s1, s2; cin >> s1 >> s2;
    int s = 0;
    for (int i = 0; i < n; ++i) {
      if (s1[i] == s2[i]) s ^= (1<<i);
    }

    vector <int> forb((1<<n));
    for (int i = 0; i < c; ++i) {
      string x; cin >> x;
      int rx = 0;
      for (int j = 0; j < n; ++j) {
        if (x[j] == '=') rx ^= (1<<j);
      }
      forb[rx] = 1;
    }

    int oness = __builtin_popcount(s);

    network net(2 + (1<<n));
    for (int i = 0; i < (1<<n); ++i) {
      int onesi = __builtin_popcount(i);
      if (onesi % 2 == oness % 2) {
        net.add_edge(0, i + 1, 1);
        for (int j = 0; j < n; ++j) {
          int cn = i ^ (1<<j);
          if (!forb[i] && !forb[cn]) {
            net.add_edge(i + 1, cn + 1, 1);
          }
        }
      }
      else net.add_edge(i + 1, 1 + (1<<n), 1);

    }

    net.max_flow(0, 1 + (1<<n));
    queue <int> q;
    q.push(s + 1);
    vector <int> visi(2 + (1<<n));
    visi[s + 1]=1;
//    oness = __builtin_popcount(s+1);
    while (q.size()) {
      int curr = q.front(); q.pop();
      for (auto &e : net.g[curr]) {
        if (e.v == 0 || e.v == 1 + (1<<n)) continue;
        int onesv = __builtin_popcount(e.v-1);
        if (((onesv % 2 == oness % 2 && e.cap == 0) || (onesv % 2 != oness % 2 && e.cap == 0)) && !visi[e.v]) {
          q.push(e.v);
          visi[e.v]=1;
        }
      }
    }
    int can = 1;
    for (auto &e : net.g[0]) {
//      cout << e.v << ' ' << e.cap << ' ' << visi[e.v] << '\n';
      if (e.cap && visi[e.v])
        can=0;
    }
    if (can) cout << "Alice\n";
    else cout << "Bob\n";
  }

  return 0;
}

详细

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: 1ms
memory: 3532kb

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: 3592kb

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: 3544kb

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: 3500kb

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: 2ms
memory: 3588kb

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: 5ms
memory: 3716kb

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: 3584kb

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: 3608kb

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: 1ms
memory: 3540kb

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: 1ms
memory: 3604kb

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: 3536kb

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: 3544kb

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: 3536kb

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: 3832kb

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: 7ms
memory: 3892kb

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