Sasha grew up and went to first grade. To celebrate this event her mother bought her a multiplication table M with n rows and n columns such that M_{ij}=a_i ⋅ a_j where a_1, ..., a_n is some sequence of positive integers.

Of course, the girl decided to take it to school with her. But while she was having lunch, hooligan Grisha erased numbers on the main diagonal and threw away the array a_1, ..., a_n. Help Sasha restore the array!

Input

The first line contains a single integer n (3 ⩽ n ⩽ 10^3), the size of the table. 

The next n lines contain n integers each. The j-th number of the i-th line contains the number M_{ij} (1 ≤ M_{ij} ≤ 10^9). The table has zeroes on the main diagonal, that is, M_{ii}=0.

Output

In a single line print n integers, the original array a_1, ..., a_n (1 ≤ a_i ≤ 10^9). It is guaranteed that an answer exists. If there are multiple answers, print any.

Examples

Input


5
0 4 6 2 4
4 0 6 2 4
6 6 0 3 6
2 2 3 0 2
4 4 6 2 0


Output


2 2 3 1 2 

Input


3
0 99990000 99970002
99990000 0 99980000
99970002 99980000 0


Output


9999 10000 9998 
import java.io.*;
import java.util.*;
import java.math.*;
import java.lang.*;
 
import static java.lang.Math.*;

public class CF586b implements Runnable 
{
    static class InputReader 
    {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;
        private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

        public InputReader(InputStream stream) 
        {
            this.stream = stream;
        }
        
        public int read()
        {
            if (numChars==-1) 
                throw new InputMismatchException();
            
            if (curChar >= numChars) 
            {
                curChar = 0;
                try
                {
                    numChars = stream.read(buf);
                }
                catch (IOException e)
                {
                    throw new InputMismatchException();
                }
                
                if(numChars <= 0)               
                    return -1;
            }
            return buf[curChar++];
        }
     
        public String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
        public int nextInt() 
        {
            int c = read();
            
            while(isSpaceChar(c)) 
                c = read();
            
            int sgn = 1;
        
            if (c == '-') 
            {
                sgn = -1;
                c = read();
            }
            
            int res = 0;
            do
            {
                if(c<'0'||c>'9') 
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c)); 
        
            return res * sgn;
        }
        
        public long nextLong() 
        {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-')
            {
                sgn = -1;
                c = read();
            }
            long res = 0;
            
            do 
            {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
                return res * sgn;
        }
        
        public double nextDouble() 
        {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-')
            {
                sgn = -1;
                c = read();
            }
            double res = 0;
            while (!isSpaceChar(c) && c != '.') {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, nextInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            if (c == '.') 
            {
                c = read();
                double m = 1;
                while (!isSpaceChar(c))
                {
                    if (c == 'e' || c == 'E')
                        return res * Math.pow(10, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }
    
        public String readString() 
        {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do 
            {
                res.appendCodePoint(c);
                c = read();
            } 
            while (!isSpaceChar(c));
            
            return res.toString();
        }
     
        public boolean isSpaceChar(int c) 
        {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
     
        public String next()
        {
            return readString();
        }
        
        public interface SpaceCharFilter
        {
            public boolean isSpaceChar(int ch);
        }
    }
	
	public static void print2dArray(int arr[][], int n,int m)
	{
		for(int i=0;i<n;i++)
		{
			for(int j=0;j<m;j++)
			{
				System.out.print(arr[i][j]+" ");
			}
			System.out.println("");
		}
	}
	
	public static int[][] copy2dArray(int dup[][],int arr[][],int n,int m)
	{
		for(int i=0;i<n;i++)
		{
			for(int j=0;j<m;j++)
			{
				arr[i][j]=dup[i][j];
			}
		}
		return arr;
	}
	
	// if modulo is required set value accordingly
	public static long[][] matrixMultiply2dL(long t[][],long m[][])
	{
		long res[][]= new long[t.length][m[0].length];
		
		for(int i=0;i<t.length;i++)
		{
			for(int j=0;j<m[0].length;j++)
			{
				res[i][j]=0;
				for(int k=0;k<t[0].length;k++)
				{
					res[i][j]+=t[i][k]+m[k][j];
				}
			}
		}
		
		return res;
	}
	
	static long combination(long n,long r)
	{
		long ans=1;
		for(long i=0;i<r;i++)
		{
			ans=(ans*(n-i))/(i+1);
		}
		return ans;
	}
	
	
    public static void main(String args[]) throws Exception 
    {
        new Thread(null, new CF586b(),"CF586b",1<<27).start();
    }
	// **just change the name of class from Main to reuquired**
    public void run()
    {
        InputReader sc = new InputReader(System.in);
        PrintWriter w = new PrintWriter(System.out);
		int n=sc.nextInt();
		long m[][]= new long[n][n];
		long ans[]= new long[n];
		for(int i=0;i<n;i++)
		{
			for(int j=0;j<n;j++)
			{
				m[i][j]=sc.nextLong();
			}
		}
		for(int i=0;i<n-2;i++)
		{
			long temp = m[i][i+1];
			temp*=m[i][i+2];
			temp/=m[i+1][i+2];
			ans[i]=(long)Math.sqrt(temp);
		}
		long temp = m[n-2][n-1];
		temp*=m[n-3][n-1];
		temp/=m[n-3][n-2];
		ans[n-1]=(long)Math.sqrt(temp);
		ans[n-2]=m[n-2][n-1]/ans[n-1];
		for(int i=0;i<n;i++)
		{
			System.out.print(ans[i]+" ");
		}
        System.out.flush();
        w.close();
    }
}