Problem: Little X used to play a card game called "24 Game", but recently he has found it too easy. So he invented a new game.

Initially you have a sequence of n integers: 1, 2, ..., n. In a single step, you can pick two of them, let's denote them a and b, erase them from the sequence, and append to the sequence either a + b, or a - b, or a × b.

After n - 1 steps there is only one number left. Can you make this number equal to 24?

Input

The first line contains a single integer n (1 ≤ n ≤ 105).

Output

If it's possible, print "YES" in the first line. Otherwise, print "NO" (without the quotes).

If there is a way to obtain 24 as the result number, in the following n - 1 lines print the required operations an operation per line. Each operation should be in form: "a op b = c". Where a and b are the numbers you've picked at this operation; op is either "+", or "-", or "*"; c is the result of corresponding operation. Note, that the absolute value of c mustn't be greater than 1018. The result of the last operation must be equal to 24. Separate operator sign and equality sign from numbers with spaces.

If there are multiple valid answers, you may print any of them.

Examples

Input

1


Output

NO


Input

8


Output

YES
8 * 7 = 56
6 * 5 = 30
3 - 4 = -1
1 - 2 = -1
30 - -1 = 31
56 - 31 = 25
25 + -1 = 24

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
import java.math.*;
import java.awt.geom.*;

import static java.lang.Math.*;

public class Solution implements Runnable {
    
    
     
    
    public void solve() throws Exception {
    	
    	int n=sc.nextInt();
    	if(n<=3)
    	{
    		System.out.println("NO");
    		return;
    	}
    	System.out.println("YES");
    	if(n==4)
    	{
    		four();
    		return;
    	}
    	if(n==5)
    	{
    		five();
    		return;
    	}
    	if(n==6)
    	{
    		six();
    		return;
    	}
    	if(n==7)
    	{
    		seven();
    		return;
    	}
    	if(n>=8)
    	{
    		while(n>=8)
    		{
    			System.out.println(n+" - "+(n-1)+" = 1");
    			System.out.println("1 * 1 = 1");
    			n-=2;
    			
    		}
    		if(n==4)
    			four();
    		if(n==5)
    			five();
    		if(n==6)
    			six();
    		if(n==7)
    			seven();
    		return;
    	}
    		
    	
    	
    }
    public void four()
    {
    	
    	System.out.println("1 * 2 = 2");
    	System.out.println("2 * 3 = 6");
    	System.out.println("6 * 4 = 24");
    	
    }
    
    public void five()
    {
    	
    	System.out.println("5 - 1 = 4");
    	System.out.println("4 - 2 = 2");
    	System.out.println("4 * 2 = 8");
    	System.out.println("8 * 3 = 24");
    	
    	
    	
    }
     
    public void six()
    {
    	System.out.println("5 + 1 = 6");
    	System.out.println("6 - 6 = 0");
    	System.out.println("0 + 2 = 2");
    	System.out.println("2 * 3 = 6");
    	System.out.println("6 * 4 = 24");
    	
    }
    
    public void seven()
    {
    	System.out.println("7 - 6 = 1");
    	System.out.println("1 * 1 = 1");
    	five();
    	
    	
    }
    
    static Throwable uncaught;

    BufferedReader in;
    FastScanner sc;
    PrintWriter out;

    @Override
    public void run() {
        try {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
            sc = new FastScanner(in);
            solve();
        } catch (Throwable uncaught) {
            Solution.uncaught = uncaught;
        } finally {
            out.close();
        }
    }

    public static void main(String[] args) throws Throwable {
        Thread thread = new Thread(null, new Solution(), "", (1 << 26));
        thread.start();
        thread.join();
        if (Solution.uncaught != null) {
            throw Solution.uncaught;
        }
    }

}

class FastScanner {

    BufferedReader in;
    StringTokenizer st;

    public FastScanner(BufferedReader in) {
        this.in = in;
    }

    public String nextToken() throws Exception {
        while (st == null || !st.hasMoreTokens()) {
            st = new StringTokenizer(in.readLine());
        }
        return st.nextToken();
    }

    public int nextInt() throws Exception {
        return Integer.parseInt(nextToken());
    }

    public long nextLong() throws Exception {
        return Long.parseLong(nextToken());
    }

    public double nextDouble() throws Exception {
        return Double.parseDouble(nextToken());
    }

}