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 PyPy3 (2.4.0) (judge verdict: Accepted)

if __name__=='__main__':
    s = input()

    # bit全探索0-> -, 1-> +
    for i in range(1 << (len(s)-1)):
        bina = bin(i).replace('0b', '')
        bina = bina.zfill(len(s)-1)
        ans = int(s[0])
        ans_s = s[0]
        for j in range(len(bina)):
            if bina[j] == '1':
                ans_s += '+' + s[j+1]
                ans += int(s[j+1])
            else:
                ans_s += '-' + s[j+1]
                ans -= int(s[j+1])
        if ans == 7:
            print(ans_s + '=7')
            break