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.text.DecimalFormat;
import java.io.*;
import java.util.*;
import java.lang.reflect.Array;

/**
 * @author Mukesh Singh
 *
 */


public class AB {

    private InputStream input;
    private PrintStream output;
    private Scanner inputSc;

    public AB(InputStream input, PrintStream output) {
        this.input = input;
        this.output = output;
        init();
    }

    private void init() {
        inputSc = new Scanner(input);
    }

    static int lineToInt(String line) {
        return Integer.parseInt(line);
    }

    static long lineToLong(String line) {
        return Long.parseLong(line);
    }
    static double lineToDouble(String line) {
        return Double.parseDouble(line);
    }


    public void solve() 
	{
            solveTestCase();
    }

/**
 * @define global / instance variables 
 */

	HashMap<Integer,Integer> mat[] ;
	long dist[] ;
	int vec[] ;
	int par[] ;
	boolean isDone[] ;
	final long INF = 100000000000000000L ;
	double ar[];
/**
 * @solve test case 
 */
@SuppressWarnings("unchecked")
    private void solveTestCase() 
	{
		int i , j  , k , n , m , d , l ,b  , p , q , r;
		long N , M, K;
		int x1 , y1 , x2 , y2 ;
		int a1,a2,b1,b2,a ;
		DecimalFormat df = new DecimalFormat("#,###,##0.00");
        String str = inputSc.nextLine();
        String delims = "[ ]+";
		String tokens[] = str.split(delims);
		n = lineToInt(tokens[0]);
		if(  n <= 3 )
		{
			output.println("NO");
			return ;
		}
		output.println("YES");
		if(n == 4 )
		{
			output.println("1 * 2 = 2");
			output.println("3 * 2 = 6");
			output.println("6 * 4 = 24");
		}
		else if(n == 5 )
		{
			output.println("1 + 5 = 6");
			output.println("3 - 2 = 1");
			output.println("1 * 4 = 4");
			output.println("6 * 4 = 24");
		}
		else
		{
			output.println("1 + 2 = 3");
			output.println("3 - 3 = 0");
			output.println("6 * 4 = 24");
			output.println("0 * 5 = 0");
			for( i = 7 ; i <= n ; i++ )
				output.println(i+" * 0 = 0");
			output.println("0 + 24 = 24");
			
		}
		
	}

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) 
	{
		FileInputStream in = null;
      	FileOutputStream out = null;
		PrintStream ps = null ;
		InputStream is = null ;
		try 
		{
         	is = new FileInputStream("file.in");
         	out = new FileOutputStream("file.out");
			ps = new PrintStream(out);
        }
		catch ( Exception e )
		{}

        AB sd = new AB(System.in, System.out);
        sd.solve();
		try
		{
        if (is != null) 
		{
	      is.close();
	    }
       	if (out != null) {
           	out.close();
       	}
		if (ps != null) {
           	ps.close();
         }
      	}catch (Exception e){}

		//SquareDetector sd = new SquareDetector(System.in, System.out);
        //sd.solve();
    }
}