#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; } |