#include #include #include #include #include #include #include #include #include #include using namespace std; #define MOD 1000000007 void resize_(long long& vec, vector::iterator begin_, vector::iterator end_, const long long& val){ vec = val; return; } template void resize_(vector& vec, vector::iterator begin_, vector::iterator end_, const U& val){ vec.resize(*begin_); for(int i=0; i void resize_(vector& vec, vector&& sz, const U& val){ resize_(vec, sz.begin(), sz.end(), val); } int main(){ int n; cin >> n; if(n==1){ cout << 1 << endl; return 0; }else if(n==2){ cout << 2 << endl; return 0; } vector>> dp; resize_(dp, {n+2, 2, 2}, 0); dp[0][0][0] = 2; for(int i=2; i>> dp_; resize_(dp_, {n+2,2,2}, 0); for(int k=0; k0) dp_[k-1][b][0] += dp[k][a][b] * (k-2); dp_[k ][b][1] += dp[k][a][b] * 1; dp_[k+1][b][1] += dp[k][a][b] * 1; if(k>0) dp_[k-1][0][0] += dp[k][a][b] * 1; dp_[k ][b][0] += dp[k][a][b] * (i+1-1-k); }else if(a && !b){ if(k>0) dp_[k-1][b][0] += dp[k][a][b] * (k-1); dp_[k ][b][1] += dp[k][a][b] * 1; dp_[k+1][b][1] += dp[k][a][b] * 1; dp_[k ][b][0] += dp[k][a][b] * (i+1-1-k); }else if(!a && b){ if(k>0) dp_[k-1][b][0] += dp[k][a][b] * (k-1); dp_[k+1][b][1] += dp[k][a][b] * 2; if(k>0) dp_[k-1][0][0] += dp[k][a][b] * 1; dp_[k ][b][0] += dp[k][a][b] * (i+1-2-k); }else if(!a && !b){ if(k>0) dp_[k-1][b][0] += dp[k][a][b] * k; dp_[k+1][b][1] += dp[k][a][b] * 2; dp_[k ][b][0] += dp[k][a][b] * (i+1-2-k); } } for(int k=0; k<=i; k++) for(int a=0; a<2; a++) for(int b=0; b<2; b++){ dp_[k][a][b] %= MOD; } swap(dp, dp_); } cout << dp[0][0][0] << endl; return 0; }