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.InputStream;
import java.io.PrintWriter;
import java.util.InputMismatchException;

public class Main {

	public static void main(String[] args) {
		// TaskA mSol = new TaskA();
		// TaskB mSol = new TaskB();
		TaskC mSol = new TaskC();
		// TaskD mSol = new TaskD();
		// TaskE mSol = new TaskE();
		mSol.solve();
		mSol.flush();
		mSol.close();
	}

}

class TaskC {

	public FasterScanner mFScanner;
	public PrintWriter mOut;
	public long N;

	public TaskC() {
		mFScanner = new FasterScanner();
		mOut = new PrintWriter(System.out);
	}

	public void solve() {

		N = mFScanner.nextInt();

		if (N <= 3) {
			mOut.println("NO");
			return;
		}

		mOut.println("YES");

		if (N == 4)
			solveFour();
		else if (N == 5)
			solveFive();
		else
			solveGeneral();
	}

	public void solveFour() {
		mOut.println("1 * 2 = 2");
		mOut.println("3 * 4 = 12");
		mOut.println("2 * 12 = 24");
	}

	public void solveFive() {
		mOut.println("3 * 5 = 15");
		mOut.println("2 * 4 = 8");
		mOut.println("15 + 8 = 23");
		mOut.println("1 + 23 = 24");
	}

	public void solveGeneral() {
		long num;
		long upperNum;
		long lowerNum;
		int ones;

		num = N;

		ones = 0;

		while (num > 5) {
			upperNum = num;
			lowerNum = num - 1;
			mOut.println(upperNum + " - " + lowerNum + " = "
					+ (upperNum - lowerNum));
			ones++;
			num -= 2;
		}
		int zeros = 0;

		while (ones > 1) {
			mOut.println("1 - 1 = 0");
			zeros++;
			ones -= 2;
		}

		while (zeros > 1) {
			mOut.println("0 + 0 = 0");
			zeros--;
		}

		if (ones == 1) {
			mOut.println(num + " * 1 = " + num);
		}

		if (zeros == 1)
			mOut.println(num + " + 0 = " + num);

		if (num == 4)
			solveFour();
		else if (num == 5)
			solveFive();

	}

	public void flush() {
		mOut.flush();
	}

	public void close() {
		mOut.close();
	}
}

class FasterScanner {
	private InputStream mIs;
	private byte[] buf = new byte[1024];
	private int curChar;
	private int numChars;

	public FasterScanner() {
		this(System.in);
	}

	public FasterScanner(InputStream is) {
		mIs = is;
	}

	public int read() {
		if (numChars == -1)
			throw new InputMismatchException();
		if (curChar >= numChars) {
			curChar = 0;
			try {
				numChars = mIs.read(buf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (numChars <= 0)
				return -1;
		}
		return buf[curChar++];
	}

	public String nextLine() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		StringBuilder res = new StringBuilder();
		do {
			res.appendCodePoint(c);
			c = read();
		} while (!isEndOfLine(c));
		return res.toString();
	}

	public String nextString() {
		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 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 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 boolean isSpaceChar(int c) {
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}

	public boolean isEndOfLine(int c) {
		return c == '\n' || c == '\r' || c == -1;
	}

}