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.io.IOException;
import java.io.FilterInputStream;
import java.util.Iterator;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedInputStream;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 * @author Zyflair Griffane
 */
public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputUtil in = new InputUtil(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		TaskA solver = new TaskA();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskA {
    public void solve(int testNumber, InputUtil in, PrintWriter out) {
        int n = in.nextInt();
        if (n < 4) {
            out.println("NO");
            return;
        }
        out.println("YES");

        int base = 4;
        if (((n - 4) & 1) == 1) {
            base++;
        }
        int ones = 0;
        for (int i = base + 1; i < n; i += 2) {
            out.println((i + 1) + " - " + i + " = 1");
            ones++;
        }
        if (base == 4) {
            out.println("4 * 3 = 12");
            out.println("12 * 2 = 24");
            out.println("24 * 1 = 24");
        }
        else {
            out.println("5 * 4 = 20");
            out.println("3 - 1 = 2");
            out.println("2 * 2 = 4");
            out.println("20 + 4 = 24");
        }
        while (ones --> 0) {
            out.println("24 * 1 = 24");
        }
    }
}

class InputUtil {

    JoltyScanner in;

    public InputUtil(InputStream istream) {
        in = new JoltyScanner(istream);
    }

    public String next() {
        return in.next();
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }

}

class JoltyScanner {
    public static final int BUFFER_SIZE = 1 << 16;
	public static final char NULL_CHAR = (char) -1;

	StringBuilder str = new StringBuilder();
	byte[] buffer = new byte[BUFFER_SIZE];
	boolean EOF_FLAG = false;
	int bufferIdx = 0, size = 0;
	char c = NULL_CHAR;
	BufferedInputStream in;

	public JoltyScanner(InputStream in) {
		this.in = new BufferedInputStream(in, BUFFER_SIZE);
	}

    public String next() {
		checkEOF();
		if (c == NULL_CHAR) {
			c = nextChar();
		}
		while (Character.isWhitespace(c)) {
			c = nextChar();
			checkEOF();
		}
		str.setLength(0);
		for (; !EOF_FLAG && !Character.isWhitespace(c); c = nextChar()) {
			str.append(c);
		}
		return str.toString();
	}

    public char nextChar() {
		if (EOF_FLAG) {
			return NULL_CHAR;
		}
		while (bufferIdx == size) {
			try {
				size = in.read(buffer);
				if (size == -1) {
					throw new Exception();
				}
			} catch (Exception e) {
				EOF_FLAG = true;
				return NULL_CHAR;
			}
			if (size == -1) {
				size = BUFFER_SIZE;
			}
			bufferIdx = 0;
		}
		return (char) buffer[bufferIdx++];
	}

    public void checkEOF() {
		if (EOF_FLAG) {
			throw new EndOfFileException();
		}
	}

	public class EndOfFileException extends RuntimeException {
	}
}