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 org.omg.PortableInterceptor.INACTIVE;

import java.io.*;
import java.util.*;
/**
 * Created by Алексей on 06/26/2016.
 */

import static java.lang.Math.max;
import static java.lang.Math.min;
import static java.lang.Math.random;
import static java.lang.Math.*;



public class TriangleEasy {
    public static void main(String [] args){
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        Integer readFromFile=new Integer(1);
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskD solver = new TaskD();
        solver.solve(1, in, out);
        out.close();
    }
    static class TaskD {
        public void solve(int testNumber, InputReader in, PrintWriter out) {
            int n = in.nextInt();
            if(n<4){
                out.println("NO");
                return;
            }
            out.println("YES");
            if(n%2==0){
                out.println("1 * 2 = 2");
                out.println("3 * 2 = 6");
                out.println("4 * 6 = 24");
                for(int i=5; i<=n; i+=2){
                    out.println(i+1+" - " + i+" = 1");
                    out.println(24+" * " + 1+" = 24");
                }
            }else{
                out.println("5 - 3 = 2");
                out.println("2 + 1 = 3");
                out.println("3 * 2 = 6");
                out.println("4 * 6 = 24");
                for(int i=6; i<=n; i+=2){
                    out.println(i+1+" - " + i+" = 1");
                    out.println(24+" * " + 1+" = 24");
                }
            }
        }
    }
    static class InputReader {
        BufferedReader br;
        StringTokenizer st;
        String st1;
        File file = new File("text.txt");
        public InputReader(InputStream in) {
            br = new BufferedReader(new InputStreamReader(in));
            st = null;
        }
        public InputReader(int i) {
            try {
                br  = new BufferedReader(
                        new InputStreamReader(new FileInputStream(file)));
            } catch (FileNotFoundException e1) {
                System.out.println("File is not find");
            }
            st = null;
        }
        public String next(){
            while (st==null || !st.hasMoreTokens()){
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return st.nextToken();
        }
        public String nextLine(){
            try {
                st1 = new String(br.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
            return st1;
        }
        public int nextInt()  {
            return Integer.parseInt(next());
        }
        public long nextLong(){
            return Long.parseLong(next());
        }
        public Double nextDouble(){
            return Double.parseDouble(next());
        }
        public Byte nextByte() {
            return Byte.parseByte(next());
        }
        private int idx;
        public Character nextChar() {
            if(st1==null) {
                st1 = next();
                idx = 0;
            }
            if(idx!=(st1.length())-1){
                return st1.charAt(idx++);
            }else{
                char  c= st1.charAt(idx);
                st1 = null;
                return c;
            }
        }
        public void newFile() {
            try {
                FileWriter write = new FileWriter(file);
                write.write(1);
                write.close();

            } catch (IOException e) {
                e.printStackTrace();
            }
        }
    }
}