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: Wrong Answer)

import sys
import itertools


a, b, c, d = list(input())
print(a, b, c,d)

lst = ['-', '+']
for i, j, k in itertools.product(range(2), range(2), range(2)):
    ans = int(a)
    if i:
        ans += int(b)
    else:
        ans -= int(b)
    if j:
        ans += int(c)
    else:
        ans -= int(c)
    if k:
        ans += int(d)
    else:
        ans -= int(d)
        
    if ans == 7:
        print(a,lst[i],b,lst[j],c,lst[k],d,'=7',sep='')
        sys.exit()