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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;
 
int main() {
  string s;
  cin >> s;
  vector<int>v(4);
  for(int i = 0; i < 4; i++)v[i] = s[i] - '0';
  int wa;
  for(int i=0; i<(1 << 3); i++){
    wa=v[0];
  	for(int k=0; k<3; k++){
      if(i & 1<<k){wa+=v[k+1];}
      else {wa-=v[k+1];}
      cout << wa << endl;
    }
    if(wa==7){
      cout << v[0];
      for(int m=0; m<3;m++){
        if(i & 1<<m){cout << '+';}
        else {cout << '-';}
        cout << v[m+1];
      }
      cout << "=7" << endl;
      break;
    }
  }
}