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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#446766 | #8526. Polygon II | ucup-team3678 | RE | 1ms | 3896kb | C++14 | 1.9kb | 2024-06-17 15:59:38 | 2024-06-17 15:59:39 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int N = 1005, M = 25, P = 1e9 + 7;
int jc[N], inv[N], pw[N], pw2[N];
int C(int x, int y) {
return 1ll * jc[x] * inv[y] % P * inv[x - y] % P;
}
int ksm(int x, int y = P - 2) {
int res = 1;
while (y) {
if (y & 1) res = 1ll * res * x % P;
x = 1ll * x * x % P;
y >>= 1;
}
return res;
}
int a[N], b[N], f[M][N];
signed main() {
int n, mx = 0; scanf("%d", &n);
for (int i = jc[0] = inv[0] = 1; i <= n; ++i) {
jc[i] = 1ll * jc[i - 1] * i % P;
inv[i] = (i == 1 ? 1 : 1ll * (P - P / i) * inv[P % i] % P);
}
pw2[0] = 1;
for (int i = 1; i <= n; ++i) {
inv[i] = 1ll * inv[i - 1] * inv[i] % P;
pw[i] = ksm(i, n);
pw2[i] = ksm((P + 1) >> 1, i);
}
for (int i = 1; i <= n; ++i) {
scanf("%d", &a[i]);
mx = max(mx, a[i]);
for (int j = 0; j < a[i]; ++j) ++b[j];
}
for (int i = 1; i <= n; ++i) {
int s = 0;
for (int j = 0; j < i; ++j) {
s = (s + ((j & 1) ? P - 1ll : 1ll) * C(n, j) % P * pw[i - j] % P * inv[n]) % P;
}
f[0][i - 1] = s;
}
for (int i = n - 1; i; --i) {
f[0][i] = (f[0][i] - f[0][i - 1] + P) % P;
}
for (int i = 1; i <= mx; ++i) {
for (int j = 0; j <= n; ++j) {
for (int k = 0; k <= b[i - 1] && k <= j * 2 + 1; ++k) {
f[i][j] = (f[i][j] + 1ll * C(b[i - 1], k) * pw2[b[i - 1]] % P * ((j * 2 - k >= 0 ? f[i - 1][j * 2 - k] : 0) + f[i - 1][j * 2 - k + 1])) % P;
}
}
}
int res = 1;
for (int i = 0; i <= mx; ++i) {
int t = (!i ? n : b[i - 1]) - b[i], S = 0;
for (int j = i; j < mx; ++j) S += b[j];
res = (res - 1ll * f[i][0] * pw2[S] % P * t % P + P) % P;
}
printf("%d\n", res);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3896kb
input:
3 0 2 0
output:
166666668
result:
ok 1 number(s): "166666668"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
3 0 0 0
output:
500000004
result:
ok 1 number(s): "500000004"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
3 5 6 7
output:
208333335
result:
ok 1 number(s): "208333335"
Test #4:
score: -100
Runtime Error
input:
3 0 25 50