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: Accepted)

#include <bits/stdc++.h>
using namespace std;

int main() {
  string S;
  cin>>S;
  vector<int>a(4);
  for(int i=0;i<4;i++){
    a.at(i)=S.at(i);
  }
  for(int i=0;i<8;i++){
    string ans;
    int sum=a.at(0)-'0';
    ans+=a.at(0);
    for(int j=0;j<3;j++){
      if(i&(1<<j)){
        sum+=a.at(j+1)-'0';
        ans+='+';
        ans+=a.at(j+1);
      }
      else{
        sum-=a.at(j+1)-'0';
        ans+='-';
        ans+=a.at(j+1);
      }
    }
    if(sum==7){
      cout<<ans<<"=7"<< endl;
      return 0;
    }
  }
}