#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MOD = 1e9+7;
const int N = 3005;
ll dp[N];
ll M[N];
int main(){
ios_base::sync_with_stdio(0);
ll n,m;
cin >> n >> m;
M[0] = 1;
for(int i=1; i<N; ++i){
M[i] = (M[i-1]*m)%MOD;
}
dp[0]=1;
dp[1]=0;
dp[2]=1;
for(int i=3; i<=n; ++i){
dp[i] = 0;
// cout << "I:" << i;
for(int x=0; x<=i-2; ++x){
// cout << "\n x:" << x << " i-x-2:" << i-x-2 << " dp[i-x-2]:" << dp[i-x-2] << " M[x]:" << M[x];
dp[i] += (dp[i-x-2] * M[x]) % MOD;
dp[i] %= MOD;
}
// cout << "\ndp:" << dp[i] << endl;
}
cout << (dp[n]*m)%MOD;
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 | #include <bits/stdc++.h> using namespace std; typedef long long ll; const int MOD = 1e9+7; const int N = 3005; ll dp[N]; ll M[N]; int main(){ ios_base::sync_with_stdio(0); ll n,m; cin >> n >> m; M[0] = 1; for(int i=1; i<N; ++i){ M[i] = (M[i-1]*m)%MOD; } dp[0]=1; dp[1]=0; dp[2]=1; for(int i=3; i<=n; ++i){ dp[i] = 0; // cout << "I:" << i; for(int x=0; x<=i-2; ++x){ // cout << "\n x:" << x << " i-x-2:" << i-x-2 << " dp[i-x-2]:" << dp[i-x-2] << " M[x]:" << M[x]; dp[i] += (dp[i-x-2] * M[x]) % MOD; dp[i] %= MOD; } // cout << "\ndp:" << dp[i] << endl; } cout << (dp[n]*m)%MOD; return 0; } |
English