#include #include using namespace std; typedef long long ll; const ll MOD = 1e9 + 7; ll dp[2][1050][2]; ll solve(int n){ int curr = 0, next = 1; memset(dp[curr], 0, sizeof(dp[curr])); int segs = 2; dp[curr][0][0] = 1; for(int i=2;i<=n;i++){ memset(dp[next], 0, sizeof(dp[next])); for(int b=0;b<=segs;b++){ int s = segs - b; for(int p=0;p<=1;p++){ if(p > b)continue; int nb = b - p; int ns = segs - 2 - nb; if(ns < 0 || ns > s)continue; dp[next][b+1][1] += dp[curr][b][p]; dp[next][b+1][1] %= MOD; dp[next][b+1-p][1] += dp[curr][b][p]; dp[next][b+1-p][1] %= MOD; if(nb > 0){ dp[next][b-1][0] += (dp[curr][b][p] * nb) % MOD; dp[next][b-1][0] %= MOD; } if(ns > 0){ dp[next][b][0] += (dp[curr][b][p] * ns) % MOD; dp[next][b][0] %= MOD; } } } swap(curr, next); ++segs; } return dp[curr][0][0]; } int main(){ int N; cin >> N; cout << solve(N) << endl; return 0; }