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.Scanner;

public class TwentyFourTest2 {

    /*
    现在有一个容器，里面有n个物品，编号为1-n,现在小q可以进行一些操作，
    每次取出任意两个数，可以把这两个数的编号相加，相减，相乘，
    问最后小q能否在n-1次操作后使得容器里的唯一一个物品的编号为24？

    最终结果为24 4*6 3*8

     */
    public static final String FOUR =
                        "2 * 4 = 8"+"\n"+
                    "3 * 8 = 24" + "\n"+
                    "1 * 24 = 24";

    public static final String FIVE =
                    "5 - 1 = 4\n"+
                    "4 - 2 = 2\n"+
                    "2 * 3 = 6\n"+
                    "6 * 4 = 24";


    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int n = scanner.nextInt();
        String result = getTwentyFour(n);
        System.out.println(result);
    }

    public static String getTwentyFour(int n){

        String result = "YES\n";
        StringBuilder builder = new StringBuilder(result);
        
        if(n<4){
            return "NO";
        }

        if(n==4){
            return builder.append(FOUR).toString();
        }

        if(n==5){
            return builder.append(FIVE).toString();
        }

        else {
            if(n % 2 == 0){
                for(int i = n;i > 5;i = i-2){
                    builder.append(i + " - " + (i-1) + " = 1\n");
                    builder.append("1 * 1 = 1\n");
                }
                builder.append(FOUR);
            }else{
                for(int i = n;i > 5;i = i-2){
                    builder.append(i + " - " + (i-1) + " = 1\n");
                    builder.append("1 * 1 = 1\n");
                }
                builder.append(FIVE);
            }

        }
        
        return builder.toString();
    }
    
}