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)

# -*- coding: utf-8 -*-
nums = list(map(int, input()))

for n in range(3**2):
    ans = nums[0]
    ops = []
    for i in range(3):
        if 1 & (n >> i):
            ans += nums[i+1]
            ops.append('+')
        else:
            ans -= nums[i+1]
            ops.append('-')

    if ans == 7:
        b = ['%d%s' % (nums[i], ops[i]) for i in range(3)]
        b += ['%d' % nums[3]]
        print(''.join(b) + '=7')
        exit()