#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define ll long long
ll mod=1000000007;
int inf=1000000007;
ll infl=1000000000000000007;
const int N=3007;
ll DP[N][N][2];
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
ll n,m;
cin>>n>>m;
DP[1][1][1]=m;
for(ll i=1;i<n;i++)
{
for(ll j=1;j<=min(n,m);j++)
{
DP[i+1][j+1][1]=(DP[i+1][j+1][1]+DP[i][j][0]*(m-j))%mod;
DP[i+1][j][0]=(DP[i+1][j][0]+DP[i][j][0]*j)%mod;
DP[i+1][j][0]=(DP[i+1][j][0]+DP[i][j][1]*j)%mod;
DP[i+1][j][1]=(DP[i+1][j][1]+DP[i][j][1]*(m-j))%mod;
}
}
ll ans=0;
for(ll j=1;j<=min(n,m);j++)
{
ans=(ans+(DP[n-1][j][0]+DP[n-1][j][1])*j)%mod;
}
cout<<ans;
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 | #include <bits/stdc++.h> using namespace std; #define endl '\n' #define st first #define nd second #define pb push_back #define sz(x) (int)(x).size() #define all(x) (x).begin(), (x).end() #define ll long long ll mod=1000000007; int inf=1000000007; ll infl=1000000000000000007; const int N=3007; ll DP[N][N][2]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); ll n,m; cin>>n>>m; DP[1][1][1]=m; for(ll i=1;i<n;i++) { for(ll j=1;j<=min(n,m);j++) { DP[i+1][j+1][1]=(DP[i+1][j+1][1]+DP[i][j][0]*(m-j))%mod; DP[i+1][j][0]=(DP[i+1][j][0]+DP[i][j][0]*j)%mod; DP[i+1][j][0]=(DP[i+1][j][0]+DP[i][j][1]*j)%mod; DP[i+1][j][1]=(DP[i+1][j][1]+DP[i][j][1]*(m-j))%mod; } } ll ans=0; for(ll j=1;j<=min(n,m);j++) { ans=(ans+(DP[n-1][j][0]+DP[n-1][j][1])*j)%mod; } cout<<ans; return 0; } |
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