We have N integers. The i-th number is A_i.

\\{A_i\\} is said to be pairwise coprime when GCD(A_i,A_j)=1 holds for every pair (i, j) such that 1\leq i < j \leq N.

\\{A_i\\} is said to be setwise coprime when \\{A_i\\} is not pairwise coprime but GCD(A_1,\ldots,A_N)=1.

Determine if \\{A_i\\} is pairwise coprime, setwise coprime, or neither.

Here, GCD(\ldots) denotes greatest common divisor.

Constraints

* 2 \leq N \leq 10^6
* 1 \leq A_i\leq 10^6

Input

Input is given from Standard Input in the following format:


N
A_1 \ldots A_N


Output

If \\{A_i\\} is pairwise coprime, print `pairwise coprime`; if \\{A_i\\} is setwise coprime, print `setwise coprime`; if neither, print `not coprime`.

Examples

Input

3
3 4 5


Output

pairwise coprime


Input

3
6 10 15


Output

setwise coprime


Input

3
6 10 16


Output

not coprime
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.*;

public class Main {
	static final long MOD=1000000007;//998244353;
	public static void main(String[] args) {
		PrintWriter out = new PrintWriter(System.out);
		InputReader sc=new InputReader(System.in);
		int N=sc.nextInt();
		int[] A=sc.nextIntArray(N);
		boolean flag=false;
		int gcd=0;
		boolean ok=false;
		int[] count=new int[1000001];
		HashSet<Integer> hashSet=new HashSet<>();
		for (int i = 0; i < A.length; i++) {
			hashSet.add(A[i]);
		}
		boolean vg=false;
		outside:for (int i = 2; i < 1000001; i++) {
			boolean k=false;
			for (int j = i; j < count.length; j+=i) {
				if (k&&hashSet.contains(j)) {
					vg=true;
					break outside;
				}else if (hashSet.contains(j)) {
					k=true;
				}
			}
		}
		HashSet<Integer> hashSet2=new HashSet<>();
		for (int i = 0; i < A.length; i++) {
			if (A[i]==1) {
				continue;
			}
			if (hashSet2.contains(A[i])) {
				vg=true;
				break;
			}
			hashSet2.add(A[i]);
		}
		if (!vg) {
			System.out.println("pairwise coprime");
			return;
		}
		for (int i = 0; i < A.length; i++) {
			gcd=gcd(gcd, A[i]);
		}
		if (gcd==1) {
			flag=true;
		}
		if (flag) {
			System.out.println("setwise coprime");
		}else {
			System.out.println("not coprime");
		}
 	}
	static HashMap<Long, Long> PrimeFactrization(long k){
		HashMap<Long, Long> hashMap=new HashMap<>();
		for (long i = 2; i*i <= k; i++) {
			long count=0;
			if (k%i!=0) {
				continue;
			}
			while (k%i==0) {
				count++;
				k/=i;
			}
			if (hashMap.containsKey(i)) {
				hashMap.put(i,count);
			}
			else {
				hashMap.put(i, count);
			}
		}
		if (k!=1&&!hashMap.containsKey(k)) {
			hashMap.put(k, 1L);
		}
		return hashMap;
	}
	static int gcd(int a,int b) {
		if (b==0) {
			return a;
		}
		return gcd(b,a%b);
	}
	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 int[] nextIntArray(int n) {
			int[] a = new int[n];
			for (int i = 0; i < n; i++)
				a[i] = nextInt();
			return a;
		}
 
		public long[] nextLongArray(int n) {
			long[] a = new long[n];
			for (int i = 0; i < n; i++)
				a[i] = nextLong();
			return a;
		}
 
		public char[][] nextCharMap(int n, int m) {
			char[][] map = new char[n][m];
			for (int i = 0; i < n; i++)
				map[i] = next().toCharArray();
			return map;
		}
	}
	}
