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 Python (3.8.2) (judge verdict: Accepted)

def main():
    s = input()
    op = ["-", "+"]

    for i in range(2 ** 3):
        lst = [0] * 3
        for j in range(3):
            if (i >> j) & 1 == 1:
                lst[2 - j] = 1

        res = int(s[0])
        for j in range(3):
            if lst[j] == 0:
                res -= int(s[j + 1])
            if lst[j] == 1:
                res += int(s[j + 1])
        if res == 7:
            print(f"{s[0]}{op[lst[0]]}{s[1]}{op[lst[1]]}{s[2]}{op[lst[2]]}{s[3]}=7")
            break


if __name__ == "__main__":
    main()