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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
#307440#7. 主旋律oscaryang100 ✓894ms4148kbC++141.1kb2024-01-18 16:24:562024-01-18 16:24:58

Judging History

你现在查看的是最新测评结果

  • [2024-01-18 16:24:58]
  • 评测
  • 测评结果:100
  • 用时:894ms
  • 内存:4148kb
  • [2024-01-18 16:24:56]
  • 提交

answer

#include<bits/stdc++.h>

#define rep(i, a, b) for(int i = (a); i <= (b); ++i)

using namespace std;

const int N = 15, P = 1e9 + 7; 

inline void inc(int &x, int y) { x += y - P; x += (x >> 31) & P; }
inline void dec(int &x, int y) { x -= y; x += (x >> 31) & P; }

int n, m, all, f[1 << N], g[1 << N], cnt[1 << N], pw[N * N], to[N];

signed main() {
	cin >> n >> m; all = (1 << n) - 1;
	pw[0] = 1; rep(i, 1, n * n) pw[i] = 2ll * pw[i - 1] % P;
	
	for(int i = 1, u, v; i <= m; i++) {
                cin >> u >> v; --u; --v;
		to[u] |= 1 << v; 
	}
	
	g[0] = 1;
	rep(s, 1, all) {
		rep(i, 0, n - 1) if((s >> i) & 1) 
			cnt[s] += __builtin_popcount(to[i] & s);
		f[s] = pw[cnt[s]]; int x = s & -s;
		for(int t = (s - 1) & s; t; t = (t - 1) & s) if(t & x)
			dec(g[s], 1ll * f[t] * g[s ^ t] % P);
		for(int t = s, e = 0; t; t = (t - 1) & s, e = 0) {
			rep(i, 0, n - 1) if((t >> i) & 1) 
				e += __builtin_popcount(to[i] & (s ^ t));
			dec(f[s], 1ll * g[t] * pw[cnt[s ^ t] + e] % P);
		}
		inc(g[s], f[s]);
	}
	
	cout << f[all] << endl;
	return 0;
}

詳細信息

Test #1:

score: 10
Accepted
time: 0ms
memory: 3540kb

input:

5 15
4 3
4 2
2 5
2 1
1 2
5 1
3 2
4 1
1 4
5 4
3 4
5 3
2 3
1 5
3 1

output:

9390

result:

ok single line: '9390'

Test #2:

score: 10
Accepted
time: 1ms
memory: 3544kb

input:

5 18
4 3
4 2
2 5
2 1
1 2
5 1
3 2
4 1
1 4
5 4
3 4
5 3
2 3
1 5
3 1
1 3
5 2
2 4

output:

100460

result:

ok single line: '100460'

Test #3:

score: 10
Accepted
time: 1ms
memory: 3492kb

input:

8 35
5 1
8 7
7 8
7 6
6 1
2 5
6 5
8 2
7 2
7 5
3 1
6 3
2 3
5 2
8 5
8 3
6 8
2 1
1 6
2 6
7 3
2 4
3 5
3 2
3 7
7 1
8 4
3 4
3 6
6 4
2 7
4 6
6 7
7 4
8 1

output:

299463717

result:

ok single line: '299463717'

Test #4:

score: 10
Accepted
time: 1ms
memory: 3512kb

input:

8 40
5 1
8 7
7 8
7 6
6 1
2 5
6 5
8 2
7 2
7 5
3 1
6 3
2 3
5 2
8 5
8 3
6 8
2 1
1 6
2 6
7 3
2 4
3 5
3 2
3 7
7 1
8 4
3 4
3 6
6 4
2 7
4 6
6 7
7 4
8 1
1 2
4 8
5 8
4 3
5 7

output:

21156439

result:

ok single line: '21156439'

Test #5:

score: 10
Accepted
time: 0ms
memory: 3516kb

input:

8 45
5 1
8 7
7 8
7 6
6 1
2 5
6 5
8 2
7 2
7 5
3 1
6 3
2 3
5 2
8 5
8 3
6 8
2 1
1 6
2 6
7 3
2 4
3 5
3 2
3 7
7 1
8 4
3 4
3 6
6 4
2 7
4 6
6 7
7 4
8 1
1 2
4 8
5 8
4 3
5 7
2 8
1 5
3 8
1 3
4 1

output:

426670664

result:

ok single line: '426670664'

Test #6:

score: 10
Accepted
time: 3ms
memory: 3480kb

input:

10 65
5 10
1 8
7 8
6 2
5 7
9 2
4 7
3 7
1 6
3 10
7 9
8 4
7 1
5 2
1 7
4 2
8 3
8 1
3 9
8 2
2 10
4 3
9 10
5 3
3 8
3 4
6 10
4 8
4 5
5 8
9 5
9 6
10 2
10 5
6 1
2 1
9 4
7 10
5 6
10 7
10 8
5 9
9 7
9 8
4 10
8 9
7 2
2 7
10 1
7 3
6 8
7 6
9 1
6 5
2 4
6 3
2 9
8 10
10 9
8 5
4 1
6 9
2 3
1 3
1 9

output:

931896041

result:

ok single line: '931896041'

Test #7:

score: 10
Accepted
time: 3ms
memory: 3708kb

input:

10 70
5 10
1 8
7 8
6 2
5 7
9 2
4 7
3 7
1 6
3 10
7 9
8 4
7 1
5 2
1 7
4 2
8 3
8 1
3 9
8 2
2 10
4 3
9 10
5 3
3 8
3 4
6 10
4 8
4 5
5 8
9 5
9 6
10 2
10 5
6 1
2 1
9 4
7 10
5 6
10 7
10 8
5 9
9 7
9 8
4 10
8 9
7 2
2 7
10 1
7 3
6 8
7 6
9 1
6 5
2 4
6 3
2 9
8 10
10 9
8 5
4 1
6 9
2 3
1 3
1 9
5 4
1 5
5 1
10 4
10 6

output:

303656759

result:

ok single line: '303656759'

Test #8:

score: 10
Accepted
time: 864ms
memory: 3888kb

input:

15 130
7 10
9 12
4 6
1 10
14 9
4 8
8 9
4 3
15 9
3 9
1 8
2 15
8 4
13 7
3 5
14 13
6 2
14 6
8 3
4 2
8 13
9 2
6 13
12 11
6 4
11 8
15 5
3 8
10 8
15 7
15 6
12 15
8 12
13 9
12 9
8 15
11 6
6 7
10 4
2 8
11 12
7 9
7 12
14 1
5 8
10 9
3 7
7 13
11 9
11 10
1 5
1 3
2 1
2 7
10 1
10 15
7 14
5 6
6 1
15 10
5 15
15 8
5...

output:

717458968

result:

ok single line: '717458968'

Test #9:

score: 10
Accepted
time: 894ms
memory: 3852kb

input:

15 140
7 10
9 12
4 6
1 10
14 9
4 8
8 9
4 3
15 9
3 9
1 8
2 15
8 4
13 7
3 5
14 13
6 2
14 6
8 3
4 2
8 13
9 2
6 13
12 11
6 4
11 8
15 5
3 8
10 8
15 7
15 6
12 15
8 12
13 9
12 9
8 15
11 6
6 7
10 4
2 8
11 12
7 9
7 12
14 1
5 8
10 9
3 7
7 13
11 9
11 10
1 5
1 3
2 1
2 7
10 1
10 15
7 14
5 6
6 1
15 10
5 15
15 8
5...

output:

459157220

result:

ok single line: '459157220'

Test #10:

score: 10
Accepted
time: 852ms
memory: 4148kb

input:

15 150
7 10
9 12
4 6
1 10
14 9
4 8
8 9
4 3
15 9
3 9
1 8
2 15
8 4
13 7
3 5
14 13
6 2
14 6
8 3
4 2
8 13
9 2
6 13
12 11
6 4
11 8
15 5
3 8
10 8
15 7
15 6
12 15
8 12
13 9
12 9
8 15
11 6
6 7
10 4
2 8
11 12
7 9
7 12
14 1
5 8
10 9
3 7
7 13
11 9
11 10
1 5
1 3
2 1
2 7
10 1
10 15
7 14
5 6
6 1
15 10
5 15
15 8
5...

output:

663282473

result:

ok single line: '663282473'