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 Java (OpenJDK 11.0.6) (judge verdict: Runtime Error)

import java.util.*;
public class Main{
  public static void main(String[] args){
    Scanner sc=new Scanner(System.in);
    int a=sc.nextInt();
    int[] bcd=new int[3];
    for(int i=0;i<3;i++){
      bcd[i]=sc.nextInt();
    }
    for(int i=0;i<1<<3;i++){
      int sum=a;
      char[] pm=new char[3];
      for(int j=0;j<3;j++){
        if((1&(i>>j))==1){
          sum=sum-bcd[j];
          pm[j]='-';
        }
        else{
          sum=sum+bcd[j];
          pm[j]='+';
        }
      }
      if(sum==7){
        System.out.print(a);
        for(int j=0;j<3;j++){
          System.out.print(pm[j]+bcd[j]);
        }
        System.out.println("=7");
        break;
      }
    }
  }
}