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.*;
import java.math.*;
     
class Main{
    public static void main(String[] args) {
        
        try(Scanner sc = new Scanner(System.in)){

            String abcd = sc.next();

            int a = Integer.parseInt(abcd.substring(0, 1));
            int b = Integer.parseInt(abcd.substring(1, 2));
            int c = Integer.parseInt(abcd.substring(2, 3));
            int d = Integer.parseInt(abcd.substring(3, 4));

            StringBuilder sb = new StringBuilder();

            if(isSeven(a, b, c, d)){
                sb.append(a);
                sb.append("+").append(b);
                sb.append("+").append(c);
                sb.append("+").append(d);
                sb.append("=").append("7");
                
                System.out.println(sb.toString());
            } else if(isSeven(a, b, c, -d)){
                sb.append(a);
                sb.append("+").append(b);
                sb.append("+").append(c);
                sb.append("-").append(d);
                sb.append("=").append("7");
                
                System.out.println(sb.toString());
            } else if(isSeven(a, b, -c, d)){
                sb.append(a);
                sb.append("+").append(b);
                sb.append("-").append(c);
                sb.append("+").append(d);
                sb.append("=").append("7");
                
                System.out.println(sb.toString());
            } else if(isSeven(a, -b, c, d)){
                sb.append(a);
                sb.append("-").append(b);
                sb.append("+").append(c);
                sb.append("+").append(d);
                sb.append("=").append("7");
                
                System.out.println(sb.toString());
            } else if(isSeven(a, -b, c, -d)){
                sb.append(a);
                sb.append("-").append(b);
                sb.append("+").append(c);
                sb.append("-").append(d);
                sb.append("=").append("7");
                
                System.out.println(sb.toString());
            } else if(isSeven(a, -b, -c, d)){
                sb.append(a);
                sb.append("-").append(b);
                sb.append("-").append(c);
                sb.append("+").append(d);
                sb.append("=").append("7");
                
                System.out.println(sb.toString());
            } else if(isSeven(a, b, -c, -d)){
                sb.append(a);
                sb.append("+").append(b);
                sb.append("-").append(c);
                sb.append("-").append(d);
                sb.append("=").append("7");
                
                System.out.println(sb.toString());
            } else if(isSeven(a, -b, -c, -d)){
                sb.append(a);
                sb.append("-").append(b);
                sb.append("-").append(c);
                sb.append("-").append(d);
                sb.append("=").append("7");
                
                System.out.println(sb.toString());
            }
            

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

    private static boolean isSeven(int a, int b, int c, int d){
        if(a+b+c+d == 7) return true;
        else return false;
    }
}