#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define int ll
int n,mod=1e9+7;
int comb[355][355];
int dp[355][355][2];
int dopow(int x, int y){
if(y==0){
return 1;
}
int z = dopow(x,y/2);
if(y%2){
return (((z*z)%mod)*x)%mod;
}
else{
return (z*z)%mod;
}
}
signed main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
for(int i=0;i<=n;i++){
comb[i][0] = 1;
for(int j=1;j<=i;j++){
comb[i][j] = comb[i][j-1]*(i-j+1LL);
comb[i][j] %= mod;
comb[i][j] *= dopow(j,mod-2);
comb[i][j] %= mod;
}
}
dp[0][n][0] = 1;
for(int i=0;i<=n-1;i++){
for(int j=0;j<=n;j++){
for(int k=0;k<=n;k++){
if(j>=k){
dp[i+1][j-k][1] += dp[i][j][1]*comb[j][k];
dp[i+1][j-k][1] %= mod;
if(k==i+1){
dp[i+1][j-k][1] += dp[i][j][0]*comb[j][k];
dp[i+1][j-k][1] %= mod;
}
else{
dp[i+1][j-k][0] += dp[i][j][0]*comb[j][k];
dp[i+1][j-k][0] %= mod;
}
}
}
}
}
cout << dp[n][0][1] << "\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
464 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
464 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
210 ms |
2664 KB |
Output is correct |
18 |
Correct |
2 ms |
724 KB |
Output is correct |
19 |
Correct |
46 ms |
1616 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
272 ms |
2764 KB |
Output is correct |
22 |
Correct |
31 ms |
1420 KB |
Output is correct |
23 |
Correct |
4 ms |
724 KB |
Output is correct |
24 |
Correct |
63 ms |
1720 KB |
Output is correct |
25 |
Correct |
42 ms |
1512 KB |
Output is correct |
26 |
Correct |
81 ms |
1924 KB |
Output is correct |
27 |
Correct |
391 ms |
3100 KB |
Output is correct |
28 |
Correct |
387 ms |
3140 KB |
Output is correct |
29 |
Correct |
395 ms |
3160 KB |
Output is correct |
30 |
Correct |
395 ms |
3104 KB |
Output is correct |
31 |
Correct |
396 ms |
3276 KB |
Output is correct |
32 |
Correct |
408 ms |
3104 KB |
Output is correct |
33 |
Correct |
422 ms |
3136 KB |
Output is correct |
34 |
Correct |
411 ms |
3192 KB |
Output is correct |
35 |
Correct |
422 ms |
3116 KB |
Output is correct |
36 |
Correct |
418 ms |
3128 KB |
Output is correct |
37 |
Correct |
426 ms |
3396 KB |
Output is correct |