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 (3.4.3) (judge verdict: Accepted)

# -*- coding: utf-8 -*-

s = input()
bitlist = []
for i in range(2**(len(s)-1)):
    bitlist.append([int(x) for x in list(bin(i)[2::].zfill(len(s)-1))])
for bit in bitlist:
    formula = s[0]
    ans = int(s[0])
    for i, sign in enumerate(bit):
        if sign == 0:#プラスとする
            formula += '+'
            ans += int(s[i+1])
        else:#マイナスとする
            formula += '-'
            ans -= int(s[i+1])
        formula += s[i+1]
    #print(formula)
    #print(ans)
    if ans == 7:
        print(formula + '=7')
        break