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.*;
import java.util.*;


public class Main {
    public static void main(String args[]) {
        InputReader ir = new InputReader(System.in);

        int n = ir.nextInt();

        ArrayList<String> result = Solution.solve(n);

        OutputWriter ow = new OutputWriter(System.out);
        if (result.size() > 0) {
            ow.println("YES");
            for (String s: result) {
                ow.println(s);
            }
        } else {
            ow.println("NO");
        }
        ow.close();
    }
}


class Solution {
    public static ArrayList<String> solve(int n) {
        ArrayList<String> result = new ArrayList<String>();
        if (n < 4) {
            return result;
        } else if (n % 2 == 0) {
            result.add("1 * 2 = 2");
            result.add("2 * 3 = 6");
            result.add("6 * 4 = 24");
            for (int i = 5; i < n; i += 2) {
                result.add("" + (i + 1) + " - " + i + " = 1");
                result.add("24 * 1 = 24");
            }
        } else {
            result.add("5 - 2 = 3");
            result.add("3 - 1 = 2");
            result.add("3 * 2 = 6");
            result.add("6 * 4 = 24");
            for (int i = 6; i < n; i += 2) {
                result.add("" + (i + 1) + " - " + i + " = 1");
                result.add("24 * 1 = 24");
            }
        }

        return result;
    }
}


class InputReader {
    private InputStream stream;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;

    public InputReader(InputStream stream) {
        this.stream = stream;
    }

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

        return buf[curChar++];
    }

    public String readLine() {
        int c = read();
        while (isSpaceChar(c)) {
            c = read();
        }
        StringBuilder res = new StringBuilder();
        do {
            res.appendCodePoint(c);
            c = read();
        } while (c != '\n' && c != '\r' && c != -1);

        return res.toString();
    }

    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 & 15;
            c = read();
        } while (!isSpaceChar(c));

        return res * sgn;
    }

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


class OutputWriter {
    private PrintWriter writer;

    public OutputWriter(OutputStream stream) {
        writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(stream)));
    }

    public OutputWriter(OutputStream stream, int size) {
        writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(stream), size));
    }

    public OutputWriter(Writer writer) {
        this.writer = new PrintWriter(writer);
    }

    public void println(int x) {
        writer.println(x);
    }

    public void println(String s) {
        writer.println(s);
    }

    public void println(char[] c) {
        writer.println(c);
    }

    public void print(int x) {
        writer.print(x);
    }

    public void printSpace() {
        writer.print(" ");
    }

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