import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Collections; import java.util.Comparator; import java.util.NoSuchElementException; public class Main { final long MOD=(long)1e9+7; long ADD(long a,long b) { return a+b>=MOD?a+b-MOD:a+b; } //t[i]==1 => p[i]>=X[i] :up //t[i]==0 => p[i]<=X[i] :dn void run() { FastScanner sc=new FastScanner(); PrintWriter pw=new PrintWriter(System.out); int N=sc.nextInt();//1<=N<=3000 int[] t=new int[N]; int[] X=new int[N]; ArrayList dn=new ArrayList<>(); ArrayList up=new ArrayList<>(); for (int i=0;i-v)); int p=0,q=dn.size(); for (int num=0;num0&&!(dn.get(q-1)>=num)) --q; for (int ups=0;ups<=num;++ups) { if (dp[num][ups]==0) continue; int dns=num-ups; if (p-ups>0) { dp[num+1][ups+1]=ADD(dp[num+1][ups+1],dp[num][ups]*(p-ups)%MOD); } if (q-(dn.size()-dns-1)>0) { dp[num+1][ups+0]=ADD(dp[num+1][ups+0],dp[num][ups]*(q-(dn.size()-dns-1))%MOD); } } } pw.println(dp[N][up.size()]); pw.close(); } void tr(Object...objects) {System.out.println(Arrays.deepToString(objects));} public static void main(String[] args) { new Main().run(); } } class FastScanner { private final InputStream in = System.in; private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; private boolean hasNextByte() { if (ptr < buflen) { return true; }else{ ptr = 0; try { buflen = in.read(buffer); } catch (IOException e) { e.printStackTrace(); } if (buflen <= 0) { return false; } } return true; } private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;} private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;} private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;} public boolean hasNext() { skipUnprintable(); return hasNextByte();} public String next() { if (!hasNext()) throw new NoSuchElementException(); StringBuilder sb = new StringBuilder(); int b = readByte(); while(isPrintableChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public long nextLong() { if (!hasNext()) throw new NoSuchElementException(); long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } if (b < '0' || '9' < b) { throw new NumberFormatException(); } while(true){ if ('0' <= b && b <= '9') { n *= 10; n += b - '0'; }else if(b == -1 || !isPrintableChar(b)){ return minus ? -n : n; }else{ throw new NumberFormatException(); } b = readByte(); } } public int nextInt() { return (int)nextLong(); } }