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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#203151#5250. Combination Locksucup-team288AC ✓5ms3644kbC++203.2kb2023-10-06 15:49:252023-10-06 15:49:26

Judging History

你现在查看的是最新测评结果

  • [2023-10-06 15:49:26]
  • 评测
  • 测评结果:AC
  • 用时:5ms
  • 内存:3644kb
  • [2023-10-06 15:49:25]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
using ll = long long;
#define pb emplace_back
#define X first
#define Y second
#define AI(i) begin(i), end(i)
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true);}
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true);}
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l++ << " \n"[l==r]; }
#else
#define DE(...) 0
#define debug(...) 0
#endif

const int MAX_N = 300010;

struct BipartiteMatching {
	int n, m;
	vector<vector<int>> adj;
	vector<int> l, r, dis, cur;
	BipartiteMatching(int n, int m) : n(n), m(m), adj(n), l(n, -1), r(m, -1), dis(n), cur(n) {}
	void addEdge(int u, int v) { adj[u].push_back(v); }
	void bfs(int rem) {
		vector<int> q;
		for (int i = 0; i < n; i++) {
			if (i == rem) {
				continue;
			}
			if (l[i] == -1) {
				dis[i] = 0;
				q.push_back(i);
			} else {
				dis[i] = -1;
			}
		}
		for (int i = 0; i < int(q.size()); i++) {
			int u = q[i];
			for (auto v : adj[u]) {
				if (r[v] != -1 && dis[r[v]] == -1) {
					dis[r[v]] = dis[u] + 1;
					q.push_back(r[v]);
				}
			}
		}
	}
	bool dfs(int u) {
		for (int &i = cur[u]; i < int(adj[u].size()); i++) {
			int v = adj[u][i];
			if (r[v] == -1 || dis[r[v]] == dis[u] + 1 && dfs(r[v])) {
				l[u] = v;
				r[v] = u;
				return true;
			}
		}
		return false;
	}
	int maxMatching(int rem) {
		fill(l.begin(), l.end(), -1);
		fill(r.begin(), r.end(), -1);
		int match = 0;
		while (true) {
			bfs(rem);
			int cnt = 0;
			fill(cur.begin(), cur.end(), 0);
			for (int i = 0; i < n; i++) {
				if (i == rem) {
					continue;
				}
				if (l[i] == -1) {
					cnt += dfs(i);
				}
			}
			if (cnt == 0) {
				break;
			}
			match += cnt;
		}
		return match;
	}
};

int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);

	int t;
	cin >> t;

	auto solve = [&]() {
		int n, m;
		cin >> n >> m;

		int S = 0;

		{
			string s, t;
			cin >> s >> t;
			for (int i = 0; i < n; i++) {
				S |= (s[i] != t[i]) << i;
			}
		}

		vector<int> ban(1 << n);
		for (int i = 0; i < m; i++) {
			string a;
			cin >> a;
			int s = 0;
			for (int j = 0; j < n; j++) {
				s |= (a[j] == '.') << j;
			}
			ban[s] = true;
		}

		vector<int> dis(1 << n, -1), q{S}, cnt(2), id(1 << n, -1);
		dis[S] = 0;
		for (int i = 0; i < int(q.size()); i++) {
			int u = q[i];
			id[u] = cnt[dis[u] % 2]++;
			for (int j = 0; j < n; j++) {
				int v = u ^ (1 << j);
				if (dis[v] == -1 && !ban[v]) {
					q.push_back(v);
					dis[v] = dis[u] + 1;
				}
			}
		}

		BipartiteMatching bm(cnt[0], cnt[1]);

		for (int s = 0; s < 1 << n; s++) {
			if (dis[s] % 2 != 0) {
				continue;
			}
			int u = id[s];
			for (int i = 0; i < n; i++) {
				int t = s ^ (1 << i);
				int v = id[t];
				if (v == -1) {
					continue;
				}
				bm.addEdge(u, v);
			}
		}

		bool alice = bm.maxMatching(-1) != bm.maxMatching(id[S]);
		cout << (alice ? "Alice" : "Bob") << '\n';
	};

	while (t--) {
		solve();
	}
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3516kb

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: 3444kb

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: 3428kb

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: 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: 3460kb

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: 3508kb

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: 1ms
memory: 3528kb

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: 2ms
memory: 3552kb

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: 3428kb

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: 1ms
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: 3488kb

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: 3448kb

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: 0ms
memory: 3552kb

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: 3484kb

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: 3476kb

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: 3ms
memory: 3540kb

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: 3644kb

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