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 C (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>

int main(void){
  int A;
  scanf("%d",&A);
  
  int a , b , c ,d;
  d = A%10;
  A = A/10;
  c = A%10;
  A = A/10;
  b = A%10;
  A = A/10;
  a = A;
  int ans = a;
  int i , j , k;
  int i1 ,j1 ,k1;
  for(i = 0;i < 2;i ++){
    for(j = 0;j < 2;j ++){
      for(k = 0;k < 2;k ++){
          if(i==0){
            ans += b;
          }
          if(i!=0){
            ans -= b;
          }
         if(j==0){
           ans += c;
         }
         if(j!=0){
          ans -= c;
         }
         if(k==0){
           ans += d;
         }
         if(k!=0){
          ans -= d;
        }
        if(ans == 7){
          i1 = i;
          j1 = j;
          k1 = k;
          i = 4;
          j = 4;
          k = 4;
        }
        else{
          ans = a;
        }
      }
    }
  }
 
  printf("%d",a);
  if(i1==0){
    putchar('+');
  }
  else{
    putchar('-');
  }
    printf("%d",b);
  if(j1==0){
    putchar('+');
  }
  else{
    putchar('-');
  }      
    printf("%d",c);
  if(k1==0){
    putchar('+');
  }
  else{
    putchar('-');
  }
  printf("%d=7",d);
  
  return 0;
}