#include <bits/stdc++.h>
using namespace std;
#define fastIO ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL)
#define PI acos(-1.0)
#define FF first
#define SS second
#define eps 1e-3
// vector
#define pb push_back
#define sz(v) int((v).size())
#define all(v) (v).begin(), (v).end()
#define lb lower_bound
#define ub upper_bound
// bit
#define CNTBIT(x) __builtin_popcount(x)
#define ODDBIT(x) __builtin_parity(x)
#define MASK(i) (1ll<<(i))
#define BIT(x, i) (((x)>>(i))&1)
#define SUBSET(big, small) (((big)&(small))==(small))
#define MINBIT(x) (x)&(-x)
// typedef
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, int> ii;
typedef pair<int, ii> i3;
/* CODE BELOW */
const int N=350+7, M=17+1, K=243+1;
const int MOD=1e9+7;
const int oo=1e9+7;
int n, m, k, t;
int _dp[N][N][2];
int C[N][N];
int add(int a, int b) {
a+=b; if(a>=MOD) a-=MOD;
return a;
}
int mul(int a, int b) {
return (1LL*a*b)%MOD;
}
void upd(int &a, int b) {
a+=b; if(a>=MOD) a-=MOD;
}
signed main() {
//freopen("test.inp", "r", stdin);
//freopen("test.out", "w", stdout);
//fastIO;
scanf("%d", &n);
_dp[0][0][0]=1, C[0][0]=1;
for(int i=1;i<=n;i++) {
for(int j=1;j<=i;j++) {
C[i][j]=add(C[i-1][j], C[i-1][j-1]);
}
C[i][0]=1;
}
for(int i=1;i<=n;i++) {
for(int j=0;j<=n;j++) {
for(int k=0;k<=j;k++) {
if(i==k) {
upd(_dp[i][j][1], mul(add(_dp[i-1][j-k][0], _dp[i-1][j-k][1]), C[n+k-j][k]));
} else {
upd(_dp[i][j][1], mul(_dp[i-1][j-k][1], C[n+k-j][k]));
upd(_dp[i][j][0], mul(_dp[i-1][j-k][0], C[n+k-j][k]));
}
}
//printf("%d %d | %d %d\n", i, j, _dp[i][j][0], _dp[i][j][1]);
}
}
printf("%d", _dp[n][n][1]);
return 0;
}
/* stuff you should look for
- int overflow, array bounds
- special/edge cases (n=1?)
- do smth instead of nothing and stay organized
- WRITE STUFF DOWN
- DONT JUST STICK ON ONE APPROACH
*/
Compilation message
zapina.cpp: In function 'int main()':
zapina.cpp:52:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
52 | scanf("%d", &n);
| ~~~~~^~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
208 KB |
Output is correct |
2 |
Correct |
0 ms |
304 KB |
Output is correct |
3 |
Correct |
0 ms |
336 KB |
Output is correct |
4 |
Correct |
0 ms |
312 KB |
Output is correct |
5 |
Correct |
0 ms |
312 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
208 KB |
Output is correct |
2 |
Correct |
0 ms |
304 KB |
Output is correct |
3 |
Correct |
0 ms |
336 KB |
Output is correct |
4 |
Correct |
0 ms |
312 KB |
Output is correct |
5 |
Correct |
0 ms |
312 KB |
Output is correct |
6 |
Correct |
0 ms |
336 KB |
Output is correct |
7 |
Correct |
0 ms |
336 KB |
Output is correct |
8 |
Correct |
0 ms |
336 KB |
Output is correct |
9 |
Correct |
0 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
0 ms |
336 KB |
Output is correct |
12 |
Correct |
0 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
336 KB |
Output is correct |
14 |
Correct |
0 ms |
336 KB |
Output is correct |
15 |
Correct |
0 ms |
336 KB |
Output is correct |
16 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
208 KB |
Output is correct |
2 |
Correct |
0 ms |
304 KB |
Output is correct |
3 |
Correct |
0 ms |
336 KB |
Output is correct |
4 |
Correct |
0 ms |
312 KB |
Output is correct |
5 |
Correct |
0 ms |
312 KB |
Output is correct |
6 |
Correct |
0 ms |
336 KB |
Output is correct |
7 |
Correct |
0 ms |
336 KB |
Output is correct |
8 |
Correct |
0 ms |
336 KB |
Output is correct |
9 |
Correct |
0 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
0 ms |
336 KB |
Output is correct |
12 |
Correct |
0 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
336 KB |
Output is correct |
14 |
Correct |
0 ms |
336 KB |
Output is correct |
15 |
Correct |
0 ms |
336 KB |
Output is correct |
16 |
Correct |
1 ms |
336 KB |
Output is correct |
17 |
Correct |
56 ms |
1404 KB |
Output is correct |
18 |
Correct |
1 ms |
464 KB |
Output is correct |
19 |
Correct |
13 ms |
944 KB |
Output is correct |
20 |
Correct |
1 ms |
336 KB |
Output is correct |
21 |
Correct |
77 ms |
1444 KB |
Output is correct |
22 |
Correct |
9 ms |
848 KB |
Output is correct |
23 |
Correct |
1 ms |
464 KB |
Output is correct |
24 |
Correct |
17 ms |
976 KB |
Output is correct |
25 |
Correct |
12 ms |
976 KB |
Output is correct |
26 |
Correct |
29 ms |
1088 KB |
Output is correct |
27 |
Correct |
110 ms |
1636 KB |
Output is correct |
28 |
Correct |
110 ms |
1648 KB |
Output is correct |
29 |
Correct |
111 ms |
1692 KB |
Output is correct |
30 |
Correct |
110 ms |
1608 KB |
Output is correct |
31 |
Correct |
115 ms |
1740 KB |
Output is correct |
32 |
Correct |
114 ms |
1744 KB |
Output is correct |
33 |
Correct |
117 ms |
1740 KB |
Output is correct |
34 |
Correct |
114 ms |
1692 KB |
Output is correct |
35 |
Correct |
115 ms |
1732 KB |
Output is correct |
36 |
Correct |
116 ms |
1732 KB |
Output is correct |
37 |
Correct |
117 ms |
1832 KB |
Output is correct |