Problem:
Score : 300 points

Problem Statement

Sitting in a station waiting room, Joisino is gazing at her train ticket.

The ticket is numbered with four digits A, B, C and D in this order, each between 0 and 9 (inclusive).

In the formula A op1 B op2 C op3 D = 7, replace each of the symbols op1, op2 and op3 with + or - so that the formula holds.

The given input guarantees that there is a solution. If there are multiple solutions, any of them will be accepted.

Constraints

0≤A,B,C,D≤9

All input values are integers.

It is guaranteed that there is a solution.

Input

Input is given from Standard Input in the following format:

ABCD

Output

Print the formula you made, including the part =7.

Use the signs + and -.

Do not print a space between a digit and a sign.

Sample Input 1

1222

Sample Output 1

1+2+2+2=7

This is the only valid solution.

Sample Input 2

0290

Sample Output 2

0-2+9+0=7

0 - 2 + 9 - 0 = 7 is also a valid solution.

Sample Input 3

3242

Sample Output 3

3+2+4-2=7

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;

class Main {
	static Scanner sc = new Scanner(System.in);
	public static void main(String[] args) {
		
		String s = sc.next();
		int n = s.length() - 1;
		char[] a = new char[s.length()];
        int[] A = new int[s.length()];
        for(int i = 0; i < s.length(); i++){
          a[i] = s.charAt(i);
          A[i] = Character.getNumericValue(a[i]);
        }
		
		for (int i = 0; i < Math.pow(2,n); i++) {
		  int sum = A[0];
          String S = "";
          S += a[0];
          for(int j = 0; j < n; j++){
            if((i & (1 << j)) == 0){
              sum += A[j+1];
              S += '+';
              S += a[j+1];
            }else{
              sum -= A[j+1];
              S += '-';
              S += a[j+1];
            }
          }
          if(sum == 7){
            System.out.println(S + "=7");
            break;
          }
		}
      
	}
}