#include <bits/stdc++.h>
#define F first
#define S second
#define sz(x) int(x.size())
#define pb push_back
#define N 100005
#define M ll(1e9 + 7)
using namespace std;
typedef long double ld;
typedef long long ll;
typedef short int si;
ll fx(ll a, ll b) {return (a + b) % M;}
ll mx(ll a, ll b) {return (a * b) % M;}
ll binpow(ll a, ll b)
{
if (b == 0) return 1ll;
ll s = binpow(a, b / 2);
if (b % 2) return mx(mx(s, s), a);
return mx(s, s);
}
ll dp[351][351][2];
ll fact[351], binnom[351][351];
ll calc(ll n, ll k)
{
if (k == 0) return 1;
return mx(fact[n], binpow(mx(fact[n - k], fact[k]), M - 2));
}
int main()
{
ios_base::sync_with_stdio(0); istream::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n;
cin >> n;
fact[0] = 1;
fact[1] = 1;
for (ll i = 2; i <= n; i++) fact[i] = mx(fact[i - 1], i);
for (ll i = 0; i <= n; i++)
for (ll j = 0; j <= i; j++) binnom[i][j] = calc(i, j);
dp[0][n][0] = 1;
for (int i = 0; i < n; i++)
for (int j = 0; j <= n; j++)
for (int f = 0; f <= 1; f++)
{
for (int u = 0; u <= j; u++)
{
if (u == i + 1) dp[i + 1][j - u][1] = fx(dp[i + 1][j - u][1], mx(binnom[j][u], dp[i][j][f]));
else dp[i + 1][j - u][f] = fx(dp[i + 1][j - u][f], mx(binnom[j][u], dp[i][j][f]));
}
}
cout << dp[n][0][1] << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
512 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
512 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
512 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
512 KB |
Output is correct |
12 |
Correct |
5 ms |
512 KB |
Output is correct |
13 |
Correct |
5 ms |
512 KB |
Output is correct |
14 |
Correct |
5 ms |
512 KB |
Output is correct |
15 |
Correct |
5 ms |
512 KB |
Output is correct |
16 |
Correct |
5 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
512 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
512 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
512 KB |
Output is correct |
12 |
Correct |
5 ms |
512 KB |
Output is correct |
13 |
Correct |
5 ms |
512 KB |
Output is correct |
14 |
Correct |
5 ms |
512 KB |
Output is correct |
15 |
Correct |
5 ms |
512 KB |
Output is correct |
16 |
Correct |
5 ms |
512 KB |
Output is correct |
17 |
Correct |
103 ms |
2648 KB |
Output is correct |
18 |
Correct |
6 ms |
768 KB |
Output is correct |
19 |
Correct |
26 ms |
1664 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
126 ms |
2812 KB |
Output is correct |
22 |
Correct |
20 ms |
1536 KB |
Output is correct |
23 |
Correct |
6 ms |
896 KB |
Output is correct |
24 |
Correct |
35 ms |
1784 KB |
Output is correct |
25 |
Correct |
25 ms |
1664 KB |
Output is correct |
26 |
Correct |
44 ms |
1912 KB |
Output is correct |
27 |
Correct |
176 ms |
3176 KB |
Output is correct |
28 |
Correct |
178 ms |
3192 KB |
Output is correct |
29 |
Correct |
192 ms |
3172 KB |
Output is correct |
30 |
Correct |
185 ms |
3192 KB |
Output is correct |
31 |
Correct |
192 ms |
3336 KB |
Output is correct |
32 |
Correct |
180 ms |
3192 KB |
Output is correct |
33 |
Correct |
186 ms |
3192 KB |
Output is correct |
34 |
Correct |
191 ms |
3360 KB |
Output is correct |
35 |
Correct |
193 ms |
3192 KB |
Output is correct |
36 |
Correct |
186 ms |
3192 KB |
Output is correct |
37 |
Correct |
187 ms |
3192 KB |
Output is correct |