import java.io.InputStream; import java.io.IOException; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Comparator; import java.util.HashSet; import java.util.InputMismatchException; import java.util.NoSuchElementException; import java.math.BigInteger; public class Main{ static PrintWriter out; static InputReader ir; static void solve(){ int n=ir.nextInt(); int[] m=ir.nextIntArray(n); Arrays.fill(gr,-1); p=sieveOfEratosthenes(10000); int xor=0; for(int i=0;i=0) return gr[a]; HashSet pst=new HashSet<>(); for(int i=1;i<=Math.sqrt(a);i++){ if(a%i!=0) continue; if(p[i]) pst.add(i); if(p[a/i]) pst.add(a/i); } HashSet st=new HashSet<>(); for(int pp : pst){ st.add(grundy(a/pp)); if(((a/pp)%pp)==0) st.add(grundy(a/pp/pp)); } int g=0; while(st.contains(g)) g++; return gr[a]=g; } public static boolean[] sieveOfEratosthenes(int n){ boolean[] ret=new boolean[n+1]; Arrays.fill(ret,true); ret[0]=ret[1]=false; for(int i=2;i<=Math.sqrt(n);i++){ if(ret[i]){ for(int j=i+i;j<=n;j+=i){ ret[j]=false; } } } return ret; } public static void main(String[] args) throws Exception{ ir=new InputReader(System.in); out=new PrintWriter(System.out); solve(); out.flush(); } static class InputReader { private InputStream in; private byte[] buffer=new byte[1024]; private int curbuf; private int lenbuf; public InputReader(InputStream in) {this.in=in; this.curbuf=this.lenbuf=0;} public boolean hasNextByte() { if(curbuf>=lenbuf){ curbuf= 0; try{ lenbuf=in.read(buffer); }catch(IOException e) { throw new InputMismatchException(); } if(lenbuf<=0) return false; } return true; } private int readByte(){if(hasNextByte()) return buffer[curbuf++]; else return -1;} private boolean isSpaceChar(int c){return !(c>=33&&c<=126);} private void skip(){while(hasNextByte()&&isSpaceChar(buffer[curbuf])) curbuf++;} public boolean hasNext(){skip(); return hasNextByte();} public String next(){ if(!hasNext()) throw new NoSuchElementException(); StringBuilder sb=new StringBuilder(); int b=readByte(); while(!isSpaceChar(b)){ sb.appendCodePoint(b); b=readByte(); } return sb.toString(); } public int nextInt() { if(!hasNext()) throw new NoSuchElementException(); int c=readByte(); while (isSpaceChar(c)) c=readByte(); boolean minus=false; if (c=='-') { minus=true; c=readByte(); } int res=0; do{ if(c<'0'||c>'9') throw new InputMismatchException(); res=res*10+c-'0'; c=readByte(); }while(!isSpaceChar(c)); return (minus)?-res:res; } public long nextLong() { if(!hasNext()) throw new NoSuchElementException(); int c=readByte(); while (isSpaceChar(c)) c=readByte(); boolean minus=false; if (c=='-') { minus=true; c=readByte(); } long res = 0; do{ if(c<'0'||c>'9') throw new InputMismatchException(); res=res*10+c-'0'; c=readByte(); }while(!isSpaceChar(c)); return (minus)?-res:res; } public double nextDouble(){return Double.parseDouble(next());} public BigInteger nextBigInteger(){return new BigInteger(next());} public int[] nextIntArray(int n){ int[] a=new int[n]; for(int i=0;i