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.Scanner;

public class Main {

	public static void main(String[] arg) {
		Scanner scan = new Scanner(System.in);
		String s = scan.next();
		int n = s.length();
		for(int i = 0; i < (1 << n - 1); i++) {
	        long tmp = (int)s.charAt(0) - '0';
	        String result = "" + s.charAt(0);
	        for(int j = 1; j < n; j++) {
		        if((i & (1 << j-1)) != 0) {
		            tmp += (int)s.charAt(j) - '0';
		            if(j!=0)result += "+" + s.charAt(j);
		            else result += s.charAt(j);
	            } else {
	            	tmp -= (int)s.charAt(j) - '0';
		            if(j!=0)result += "-" + s.charAt(j);
		            else result += s.charAt(j);
	            }
		        //System.out.println("i:" + i + ",j:" + j);
		        //System.out.println(result);
		        //System.out.println("tmp:" + tmp);
	        }
	        if(tmp == 7){
	        	System.out.println(result + "=7");
		        break;
	        }
	    }
	}
}