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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#831067#7. 主旋律ORzyzRO100 ✓649ms4560kbC++142.1kb2024-12-25 10:09:302024-12-25 10:09:31

Judging History

你现在查看的是最新测评结果

  • [2024-12-25 10:09:31]
  • 评测
  • 测评结果:100
  • 用时:649ms
  • 内存:4560kb
  • [2024-12-25 10:09:30]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pr pair<int, int>
#define pb push_back
#define mid (l + r) / 2
#define ls num << 1
#define rs num << 1 | 1

inline int read() {
    int x = 0, m = 1;
    char ch = getchar();

    while (!isdigit(ch)) {
        if (ch == '-') m = -1;
        ch = getchar();
    }

    while (isdigit(ch)) {
        x = x * 10 + ch - 48;
        ch = getchar();
    }

    return x * m;
}

inline void write(int x) {
    if (x < 0) {
        putchar('-');
        write(-x);
        return;
    }

    if (x >= 10) write(x / 10);
    putchar(x % 10 + '0');
}

const int N = 15, M = (1 << 15), mod = 1e9 + 7;

int add(int x, int y) {
    return (x + y >= mod) ? (x + y - mod) : (x + y);
}

int sub(int x, int y) {
    return (x - y < 0) ? (x - y + mod) : (x - y);
}

void Add(int &x, int y) {
    x += y;
    if (x >= mod) x -= mod;
}

void Sub(int &x, int y) {
    x -= y;
    if (x < 0) x += mod;
}

int d[N], f[M], g[M], Pow[N * N * 2], pop[M], h[M];

signed main() {
    int n = read(), m = read();
    for (int i = 1; i <= m; i++) {
        int x = read() - 1, y = read() - 1;
        d[x] |= (1 << y);
    }
    Pow[0] = 1;
    for (int i = 1; i <= 2 * n * n; i++) Pow[i] = Pow[i - 1] * 2 % mod;
    f[0] = 1;
    for (int i = 0; i < (1 << n); i++) pop[i] = __builtin_popcount(i);
    g[0] = sub(0, 1);
    f[0] = h[0] = 1;
    for (int i = 1; i < (1 << n); i++) {
        int D = 0;
        for (int j = 0; j < n; j++) {
            if ((i >> j) & 1) D += pop[d[j] & i];
        }
        f[i] = Pow[D];
        for (int j = i; j; j = (j - 1) & i) {
            int x = i ^ j;
            D = 0;
            for (int y = 0; y < n; y++) if ((j >> y) & 1) D += pop[d[y] & x];
            Add(h[i], g[j] * Pow[D] % mod * h[x] % mod);
        }
        Sub(f[i], h[i]);
        Add(h[i], f[i]);
        int S = ((1 << n) - 1) ^ i;
        for (int j = S; ; j = (j - 1) & S) {
            Add(g[j ^ i], g[j] * sub(0, f[i]) % mod);
            if (!j) break;
        }
    }
    write(f[(1 << n) - 1]);
    putchar('\n');
}

Details

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Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3612kb

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: 0ms
memory: 3552kb

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: 3624kb

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: 3624kb

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: 3564kb

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: 2ms
memory: 3896kb

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: 2ms
memory: 3596kb

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: 645ms
memory: 4560kb

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: 645ms
memory: 4528kb

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: 649ms
memory: 4560kb

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'