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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 |
---|---|---|---|---|---|---|---|---|---|
#72874 | #4843. Infectious Disease | ckiseki# | TL | 165ms | 168852kb | C++20 | 2.3kb | 2023-01-19 19:11:48 | 2023-01-19 19:11:51 |
Judging History
answer
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
namespace {
constexpr int mod = 1'000'000'007;
constexpr int maxn = 14'000'000 + 5;
inline constexpr int mul(int64_t a, int64_t b) {
return static_cast<int>(a * b % mod);
}
inline constexpr int add(int a, int b) {
return a + b >= mod ? a + b - mod : a + b;
}
inline constexpr int qpow(int a, int64_t k) {
int r = 1 % mod;
while (k) {
if (k & 1) r = mul(r, a);
k >>= 1; a = mul(a, a);
}
return r;
}
int _inv[maxn], ifac[maxn], fac[maxn];
inline int inv(int a) {
if (a < maxn) return _inv[a];
return qpow(a, mod - 2);
}
inline int comb(int a, int b) {
if (b < 0 || a < b) return 0;
return mul(fac[a], mul(ifac[b], ifac[a - b]));
}
void pre() {
fac[0] = 1;
for (int i = 1; i < maxn; ++i)
fac[i] = mul(fac[i - 1], i);
ifac[maxn - 1] = qpow(fac[maxn - 1], mod - 2);
for (int i = maxn - 2; i >= 0; --i)
ifac[i] = mul(ifac[i + 1], i + 1);
for (int i = 1; i < maxn; ++i)
_inv[i] = mul(ifac[i], fac[i - 1]);
}
int dp[2][maxn];
} // namespace
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
pre();
int n, ans = 0; cin >> n;
int me = 0, he = 1;
dp[me][1] = 1;
int two = 1, three = 1;
for (int i = 0; true; ++i) {
bool alldone = true;
for (int j = 1; j <= two; ++j)
alldone &= dp[me][j] == 0;
if (alldone) break;
memset(dp[he], 0, sizeof(int) * (two * 2 + 1));
for (int j = 0; j <= two; j++) {
int &x = dp[he][min(j * 2, n - three)];
x = add(x, dp[me][j]);
}
swap(me, he);
memset(dp[he], 0, sizeof(int) * (two * 2 + 1));
int c = n - three;
int l = min(three * 2, n - three);
int iv = inv(comb(c, l));
for (int j = 0; j <= two * 2; j++) {
for (int k = 0; k <= j; k++) {
int coef = mul(comb(j, j - k), comb(c - j, l - (j - k)));
dp[he][k] = add(dp[he][k], mul(coef, dp[me][j]));
}
}
for (int j = 0; j <= two * 2; ++j)
dp[he][j] = mul(dp[he][j], iv);
swap(me, he);
three *= 3;
two *= 2;
for (int j = 1; j <= two; j++) {
ans = add(ans, dp[me][j]);
}
}
cout << add(ans, 1) << '\n';
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 160ms
memory: 168852kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 165ms
memory: 168216kb
input:
114
output:
505208013
result:
ok 1 number(s): "505208013"
Test #3:
score: -100
Time Limit Exceeded
input:
14000000