#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;
const ll N=3e3+5;
const ll M=1e4+5;
const ll MOD=1e9+7;
const ld pi=acos(-1);
const ll MOD2=998244353;
const ll INF=(1LL<<60);
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define pb push_back
#define mp make_pair
#define X first
#define Y second
#define lwb lower_bound
#define SZ(a) (ll)a.size()
ll n,m,dp[N][N];
ll C(ll k){
if(k<2)return 0;
return (k*(k-1)%MOD)*((MOD+1)/2)%MOD;
}
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n>>m;
REP(i,n+1)dp[i][0]=1;REP(i,m+1)dp[0][i]=1;
REP1(i,n){
REP1(j,m){
dp[i][j]+=dp[i-1][j];
dp[i][j]+=dp[i-1][j-1]*j%MOD*4%MOD;
if(j>=2)dp[i][j]+=dp[i-1][j-2]*(C(j))%MOD;
if(i>=2)dp[i][j]+=dp[i-2][j-1]*(i-1)%MOD*j%MOD;
dp[i][j]%=MOD;
}
}
cout<<(dp[n][m]+MOD-1)%MOD<<"\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
512 KB |
Output is correct |
4 |
Correct |
1 ms |
1152 KB |
Output is correct |
5 |
Correct |
1 ms |
768 KB |
Output is correct |
6 |
Correct |
1 ms |
1408 KB |
Output is correct |
7 |
Correct |
1 ms |
896 KB |
Output is correct |
8 |
Correct |
2 ms |
1536 KB |
Output is correct |
9 |
Correct |
1 ms |
896 KB |
Output is correct |
10 |
Correct |
2 ms |
1792 KB |
Output is correct |
11 |
Correct |
0 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
2304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
512 KB |
Output is correct |
4 |
Correct |
1 ms |
1152 KB |
Output is correct |
5 |
Correct |
1 ms |
768 KB |
Output is correct |
6 |
Correct |
1 ms |
1408 KB |
Output is correct |
7 |
Correct |
1 ms |
896 KB |
Output is correct |
8 |
Correct |
2 ms |
1536 KB |
Output is correct |
9 |
Correct |
1 ms |
896 KB |
Output is correct |
10 |
Correct |
2 ms |
1792 KB |
Output is correct |
11 |
Correct |
0 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
2304 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
9728 KB |
Output is correct |
15 |
Correct |
106 ms |
55268 KB |
Output is correct |
16 |
Correct |
7 ms |
4096 KB |
Output is correct |
17 |
Correct |
24 ms |
12872 KB |
Output is correct |
18 |
Correct |
30 ms |
17144 KB |
Output is correct |
19 |
Correct |
125 ms |
63084 KB |
Output is correct |
20 |
Correct |
99 ms |
50972 KB |
Output is correct |
21 |
Correct |
68 ms |
33784 KB |
Output is correct |
22 |
Correct |
67 ms |
35448 KB |
Output is correct |
23 |
Correct |
39 ms |
27128 KB |
Output is correct |
24 |
Correct |
159 ms |
70904 KB |
Output is correct |
25 |
Correct |
136 ms |
61304 KB |
Output is correct |
26 |
Correct |
139 ms |
66680 KB |
Output is correct |
27 |
Correct |
158 ms |
68984 KB |
Output is correct |