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 <iostream>
using namespace std;
int main(void) {
  string s;
  cin >> s;
  int a = s[0] - '0', b = s[1] - '0', c = s[2] - '0', d = s[3] - '0';
  if (a + b + c + d == 7) {
    cout << a << "+" << b << "+" << c << "+" << d <<"=7" << endl;
  } else if (a + b + c - d == 7) {
    cout << a << "+" << b << "+" << c << "-" << d <<"=7" << endl;
  } else if (a + b - c + d == 7) {
    cout << a << "+" << b << "-" << c << "+" << d <<"=7" << endl;
  } else if (a + b - c - d == 7) {
    cout << a << "+" << b << "-" << c << "-" << d <<"=7" << endl;
  } else if (a - b + c + d == 7) {
    cout << a << "-" << b << "+" << c << "+" << d <<"=7" << endl;
  } else if (a - b + c - d == 7) {
    cout << a << "-" << b << "+" << c << "-" << d <<"=7" << endl;
  } else if (a - b - c + d == 7) {
    cout << a << "-" << b << "-" << c << "+" << d <<"=7" << endl;
  } else if (a - b - c - d == 7) {
    cout << a << "-" << b << "-" << c << "-" << d <<"=7" << endl;
  }
  return 0;
}