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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#218350 | #7. 主旋律 | _LAP_ | 100 ✓ | 1822ms | 3860kb | C++14 | 1.4kb | 2023-10-18 07:30:15 | 2023-10-18 07:30:16 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int N = 15, Z = (1 << N), M = N * (N - 1), MOD = 1e9 + 7;
inline int Plus(int a, int b) {return a + b >= MOD ? a + b - MOD : a + b; }
inline int Minus(int a, int b) {return a - b < 0 ? a - b + MOD : a - b; }
int n, m, G[N], f[Z], g[2][Z];
inline int ways(int s, int t) {
int r = 0;
for(int i = 0; i < n; i ++)
if(s >> i & 1) r = Plus(r, __builtin_popcount(G[i] & t));
return r;
}
inline long long ksm(long long a, int b) {
long long r = 1;
while(b) {
if(b & 1) r = r * a % MOD;
b >>= 1, a = a * a % MOD;
}
return r;
}
int main() {
ios::sync_with_stdio(false), cin.tie(0);
cin >> n >> m;
for(int i = 1; i <= m; i ++) {
int a, b; cin >> a >> b; a --, b --;
G[a] |= (1 << b);
}
const int MASK = (1 << n) - 1;
g[0][0] = 1;
for(int mask = 1; mask <= MASK; mask ++) {
f[mask] = ksm(2, ways(mask, mask));
for(int st = (mask - 1) & mask; st; st = (st - 1) & mask) {
f[mask] = Minus(f[mask], Minus(g[1][st], g[0][st]) * ksm(2, Plus(ways(mask - st, mask - st), ways(mask - st, st))) % MOD);
if(!(st & (mask & -mask))) continue;
g[0][mask] = Plus(g[0][mask], 1ll * f[st] * g[1][mask - st] % MOD);
g[1][mask] = Plus(g[1][mask], 1ll * f[st] * g[0][mask - st] % MOD);
}
f[mask] = Minus(f[mask], Minus(g[1][mask], g[0][mask]));
g[1][mask] = Plus(g[1][mask], f[mask]);
}
cout << f[MASK] << '\n';
return 0;
}
詳細信息
Test #1:
score: 10
Accepted
time: 1ms
memory: 3508kb
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: 3540kb
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: 3488kb
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: 3416kb
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: 3420kb
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: 3432kb
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: 6ms
memory: 3440kb
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: 1819ms
memory: 3848kb
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: 1814ms
memory: 3804kb
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: 1822ms
memory: 3860kb
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'