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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
#518177#7. 主旋律complexor100 ✓77ms6100kbC++202.2kb2024-08-13 17:14:292024-08-13 17:14:29

Judging History

你现在查看的是最新测评结果

  • [2024-08-13 17:14:29]
  • 评测
  • 测评结果:100
  • 用时:77ms
  • 内存:6100kb
  • [2024-08-13 17:14:29]
  • 提交

answer

#include <bits/stdc++.h>
typedef long long LL;
typedef std::pair<int, int> pii;
typedef std::pair<LL, LL> pll;
typedef std::pair<LL, int> pli;
#define e_b emplace_back
#define MP std::make_pair
#define fi first
#define se second
int read()
{
    LL s = 0; int f = 1;
    char c = getchar();
    while (!(c >= '0' && c <= '9'))
        f ^= (c == '-'), c = getchar();
    while (c >= '0' && c <= '9')
        s = s * 10 + (c ^ 48), c = getchar();
    return f ? s : -s;
}
const int MAXN = 200005, inf = 0x3f3f3f3f;
const LL INF = 0x3f3f3f3f3f3f3f3fll;
const int MOD = 1e9 + 7;
auto fplus = [](int x, int y){ return x + y >= MOD ? x + y - MOD : x + y; };
auto fminus = [](int x, int y){ return x >= y ? x - y : x + MOD - y; };
auto Fplus = [](int &x, int y){ return x = fplus(x, y); };
auto Fminus = [](int &x, int y){ return x = fminus(x, y); };
int fpow(int x, int y)
{
    int res = 1;
    for (; y; y >>= 1, x = (LL)x * x % MOD)
        if (y & 1) res = (LL)res * x % MOD;
    return res;
}
template<typename T> 
T& Fmin(T &x, T y){ return x = x < y ? x : y; };
template<typename T> 
T& Fmax(T &x, T y){ return x = x < y ? y : x; };
int n, m, e[1 << 15][15], f[1 << 15], dp[1 << 15], cnt[1 << 15];
int pw[1000];
int main()
{
    n = read(), m = read();
    pw[0] = 1;
    for (int i = 1; i <= m; i++)    
    {
        pw[i] = fplus(pw[i - 1], pw[i - 1]);
        int u = read() - 1, v = read() - 1;
        e[1 << u][v]++;
    }
    for (int s = 1; s < (1 << n); s++)
    {
        int j = s & -s;
        if (j != s) for (int i = 0; i < n; i++) e[s][i] = e[s ^ j][i] + e[j][i];
    }
    for (int s = 1; s < (1 << n); s++)
    {
        for (int t = (s - 1) & s; ; t = (t - 1) & s)
        {
            int tt = s ^ t;
            int j = std::__lg(tt & -tt);
            cnt[tt] = cnt[tt ^ (1 << j)] + e[s][j];
            if (t & (s & -s)) Fminus(f[s], (LL)dp[t] * f[tt] % MOD);
            if (!t) break;
        }
        dp[s] = pw[cnt[s]];
        for (int t = s; t; t = (t - 1) & s)
            Fminus(dp[s], (LL)f[t] * pw[cnt[s] - cnt[t]] % MOD);
        Fplus(f[s], dp[s]);
    }
    printf("%d\n", dp[(1 << n) - 1]);
    return 0;
}

详细


Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3828kb

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: 5864kb

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: 3924kb

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: 0ms
memory: 3988kb

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: 1ms
memory: 3856kb

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: 1ms
memory: 3868kb

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: 1ms
memory: 4028kb

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: 77ms
memory: 6100kb

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: 73ms
memory: 6092kb

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: 74ms
memory: 6100kb

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'