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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 |
---|---|---|---|---|---|---|---|---|---|
#874972 | #9735. Japanese Bands | Andyqian7 | WA | 1676ms | 3584kb | C++26 | 3.1kb | 2025-01-28 22:26:31 | 2025-01-28 22:26:37 |
Judging History
answer
#include <bits/stdc++.h>
#define ppc __builtin_popcount
#define ctz __builtin_ctz
using namespace std;
const int P = 1e9 + 7;
int inv[21], vis[21], f[21], g[21];
int pre1[21], pre2[21], fac[21], ifac[21];
vector<int> G[21];
int C(int n, int m)
{
if (m < 0 || m > n)
return 0;
return 1ll * fac[n] * ifac[n - m] % P * ifac[m] % P;
}
int bfs(int s, int st)
{
queue<int> Q;
Q.push(s);
int cnt = 0;
vis[s] = 1;
while (Q.size())
{
int t = Q.front();
Q.pop();
cnt++;
for (int son : G[t])
{
if (st >> (son - 1) & 1)
continue;
if (vis[son] == vis[t])
return -1;
if (!vis[son])
{
Q.push(son);
vis[son] = 3 - vis[t];
}
}
}
return cnt;
}
int cal(int m, int st)
{
vector<int> v;
for (int j = 1; j <= m; j++)
{
vis[j] = 0;
}
for (int j = 1; j <= m; j++)
{
if (~st >> (j - 1) & 1 && !vis[j] && G[j].size())
{
v.push_back(bfs(j, st));
}
}
int odd = 0, base = ppc(st);
for (int x : v)
{
if (x == -1)
return 0;
odd += x & 1;
base += x >> 1;
}
int ev = v.size() - odd;
int ans = 0;
for (int ex = 0; ex <= odd; ex++)
{
// base+ex ones on the left side
// base+odd-ex ones ont the right side
ans = (ans + 1ll * C(odd, ex) * f[base + ex] % P * g[base + odd - ex]) % P;
}
return ans * (1ll << ev) % P;
}
int main()
{
fac[0] = fac[1] = ifac[0] = ifac[1] = inv[1] = 1;
for (int i = 2; i <= 20; i++)
{
fac[i] = 1ll * fac[i - 1] * i % P;
inv[i] = 1ll * (P - P / i) * inv[P % i] % P;
ifac[i] = 1ll * ifac[i - 1] * inv[i] % P;
}
int T;
cin >> T;
while (T--)
{
int n1, n2, m, k;
cin >> n1 >> n2 >> m >> k;
for (int i = 1; i <= m; i++)
G[i].clear();
for (int i = 1; i <= k; i++)
{
int a, b;
cin >> a >> b;
G[a].push_back(b);
G[b].push_back(a);
}
pre1[1] = pre2[1] = 1;
for (int i = 2; i <= m; i++)
{
pre1[i] = 1ll * pre1[i - 1] * (n1 - i + 1) % P * inv[i - 1] % P;
pre2[i] = 1ll * pre2[i - 1] * (n2 - i + 1) % P * inv[i - 1] % P;
}
int fr = 0;
for (int i = 1; i <= m; i++)
if (G[i].empty())
fr |= 1 << (i - 1);
for (int m1 = 0; m1 + ppc(fr) <= m; m1++)
{
f[m1] = g[m1] = 0;
for (int i = 0; i <= ppc(fr); i++)
{
f[m1] = (f[m1] + 1ll * C(ppc(fr), i) * pre1[m1 + i]) % P;
g[m1] = (g[m1] + 1ll * C(ppc(fr), i) * pre2[m1 + i]) % P;
}
}
int ans = 0;
for (int i = 0; i < 1 << m; i++)
{
if (i & fr)
continue;
ans = (ans + cal(m, i)) % P;
}
cout << ans << endl;
}
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3584kb
input:
3 2 3 3 3 2 3 1 1 2 3 2 2 2 1 1 1 1 1 10 2 1 2 1 3
output:
6 4 0
result:
ok 3 lines
Test #2:
score: -100
Wrong Answer
time: 1676ms
memory: 3456kb
input:
500 481199252 336470888 8 58 4 7 7 6 4 7 2 6 2 6 2 7 8 3 8 7 8 1 2 6 2 6 1 2 1 5 3 1 6 4 2 4 4 7 2 6 2 3 7 1 4 4 5 1 2 7 6 7 8 1 8 7 5 6 4 2 4 2 8 5 5 4 6 8 5 6 3 8 1 7 1 6 7 1 5 6 6 3 1 1 2 7 3 3 1 5 5 5 8 7 3 4 6 3 8 8 7 4 1 6 2 1 8 7 4 5 2 7 3 5 2 6 4 5 4 3 2 6 2 2 2 1 1 1 500330171 987581927 10 ...
output:
724920553 11 544161160 846759476 528107862 1 245313614 144990327 1 269113412 946380890 1 0 996348464 376698469 453289929 53346774 238565800 51241757 956196844 0 487514263 842710229 8376584 16 300260118 933415828 808801372 1 612901047 137099259 14974173 0 733717075 1 522718622 264859767 1 1 826436243...
result:
wrong answer 3rd lines differ - expected: '966099120', found: '544161160'