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:
//package codeforces;

import java.io.*;
import java.util.*;

public class C {
    BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
    PrintWriter writer = new PrintWriter(System.out);
    StringTokenizer stringTokenizer;

    C() throws IOException {
//        reader = new BufferedReader(new FileReader("bridges.in"));
//        writer = new PrintWriter(new FileWriter("bridges.out"));
    }

    String next() throws IOException {
        while (stringTokenizer == null || !stringTokenizer.hasMoreTokens()) {
            stringTokenizer = new StringTokenizer(reader.readLine());
        }
        return stringTokenizer.nextToken();
    }

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

    long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    void solve() throws IOException {
        final int n = nextInt();
        abstract class Function {
            abstract String format();

            String format(int a, int b) {
                return String.format(format(), a, b, apply(a, b));
            }

            abstract int apply(int a, int b);
        }
        class MinusFunction extends Function {

            @Override
            String format() {
                return "%d - %d = %d";
            }

            @Override
            int apply(int a, int b) {
                return a - b;
            }
        }
        class MinusMinusFunction extends MinusFunction {
            @Override
            int apply(int a, int b) {
                return super.apply(b, a);
            }

            @Override
            String format(int a, int b) {
                return String.format(format(), b, a, apply(a, b));
            }
        }
        final Function[] functions = {
                new Function() {
                    @Override
                    String format() {
                        return "%d + %d = %d";
                    }

                    @Override
                    int apply(int a, int b) {
                        return a + b;
                    }
                },
                new Function() {
                    @Override
                    String format() {
                        return "%d * %d = %d";
                    }

                    @Override
                    int apply(int a, int b) {
                        return a * b;
                    }
                },
                new MinusFunction(),
                new MinusMinusFunction()
        };
        class Utils {
            List<String> foo() {
                int[] numbers = new int[n];
                for (int i = 1; i <= n; i++) {
                    numbers[i - 1] = i;
                }
                List<String> answer = new ArrayList<>();
                if (bar(numbers, answer)) {
                    answer.add("YES");
                } else {
                    answer.add("NO");
                }
                Collections.reverse(answer);
                return answer;
            }

            boolean bar(int[] numbers, List<String> answer) {
                if (numbers.length == 1) {
                    return numbers[0] == 24;
                }
                int[] baz = new int[numbers.length - 1];
                for (int i = 0; i < numbers.length; i++) {
                    for (int j = i + 1; j < numbers.length; j++) {
                        int o = 0;
                        for (int k = 0; k < numbers.length; k++) {
                            if (k == i || k == j) {
                                continue;
                            }
                            baz[o++] = numbers[k];
                        }
                        for (Function function : functions) {
                            baz[o] = function.apply(numbers[i], numbers[j]);
                            if (bar(baz, answer)) {
                                answer.add(function.format(numbers[i], numbers[j]));
                                return true;
                            }
                        }
                    }
                }
                return false;
            }

        }
        if (n < 6) {
            for (String s : new Utils().foo()) {
                writer.println(s);
            }
        } else {
            String[] foo = {
                    "YES",
                    "2 * 3 = 6",
                    "6 * 4 = 24",
                    "6 - 5 = 1",
                    "1 - 1 = 0"
            };
            for (String s : foo) {
                writer.println(s);
            }
            for(int i = 7; i <= n; i++) {
                writer.printf("%d * 0 = 0\n", i);
            }
            writer.println("24 + 0 = 24");
        }
        writer.close();
    }

    public static void main(String[] args) throws IOException {
        new C().solve();
    }
}