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(){
  char n[4];
  int num[4],flag[3];
  int i,j,k,tmp;
  
  scanf("%s",&n);
  for(i=0;i<4;i++){
    num[i]=n[i]-'0';
  }
  
  for(i=0;i<2;i++){
    for(j=0;j<2;j++){
      for(k=0;k<2;k++){
        tmp=num[0];
        if(i%2==1){
          tmp+=num[1];
        } else {
          tmp-=num[1];
        }
        
        if(j%2==1){
          tmp+=num[2];
        } else {
          tmp-=num[2];
        }
        
        if(k%2==1){
          tmp+=num[3];
        } else {
          tmp-=num[3];
        }
        
        if(tmp==7){
          flag[0]=i;
          flag[1]=j;
          flag[2]=k;
        }
      }
    }
  }
  
  for(i=0;i<3;i++){
    printf("%d",num[i]);
    if(flag[i]==1){
      printf("+");
    } else {
      printf("-");
    }
  }
  printf("%d=7",num[3]);
}