#include<bits/stdc++.h>
using namespace std;
#define int long long
#define X first
#define Y second
const int mod=1e9+7;
int n;int m;
int dp[5010][5010];
int cn2(int x){
return ((x*(x-1))/2)%mod;
}
signed main(){
cin>>n>>m;
dp[0][m]=1;
for(int H=1;H<=n;H++){
for(int W=0;W<=m;W++){
dp[H][W]=dp[H-1][W];
dp[H][W]=(dp[H][W]+dp[H-1][W+1]*4*(W+1) )%mod;
dp[H][W]=(dp[H][W]+dp[H-1][W+2]*cn2(W+2))%mod;
if(H>=2){
dp[H][W]=(dp[H][W]+dp[H-2][W+1]*(W+1)%mod*(H-1))%mod;
}
}
}
int ans=0;
for(int i=0;i<=m-1;i++){
ans=(ans+dp[n][i])%mod;
}
cout<<ans<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
1064 KB |
Output is correct |
5 |
Correct |
1 ms |
596 KB |
Output is correct |
6 |
Correct |
1 ms |
1364 KB |
Output is correct |
7 |
Correct |
1 ms |
724 KB |
Output is correct |
8 |
Correct |
1 ms |
1364 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
1748 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
2 ms |
2228 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
1064 KB |
Output is correct |
5 |
Correct |
1 ms |
596 KB |
Output is correct |
6 |
Correct |
1 ms |
1364 KB |
Output is correct |
7 |
Correct |
1 ms |
724 KB |
Output is correct |
8 |
Correct |
1 ms |
1364 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
1748 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
2 ms |
2228 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
4 ms |
9652 KB |
Output is correct |
15 |
Correct |
52 ms |
55148 KB |
Output is correct |
16 |
Correct |
6 ms |
4052 KB |
Output is correct |
17 |
Correct |
16 ms |
12828 KB |
Output is correct |
18 |
Correct |
16 ms |
17104 KB |
Output is correct |
19 |
Correct |
66 ms |
63152 KB |
Output is correct |
20 |
Correct |
49 ms |
50844 KB |
Output is correct |
21 |
Correct |
32 ms |
33740 KB |
Output is correct |
22 |
Correct |
33 ms |
35500 KB |
Output is correct |
23 |
Correct |
21 ms |
27072 KB |
Output is correct |
24 |
Correct |
82 ms |
82768 KB |
Output is correct |
25 |
Correct |
62 ms |
62912 KB |
Output is correct |
26 |
Correct |
69 ms |
71448 KB |
Output is correct |
27 |
Correct |
83 ms |
79920 KB |
Output is correct |