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)

n = [int(x) for x in input()]
o = len(n) - 1

op = []
for i in range(2**o):
    op = ["-", "-", "-"]
    for j in range(o):
        if (i >> j) & 1:
            op[o - 1 - j] = "+"
    
    sum = n[0]
    for m, s in zip(n[1:], op):
        if s == "+":
            sum += m
        else:
            sum -= m

    if sum == 7:
        break

ns = [str(x) for x in n]
res = ns[0]
for x,y in zip(op, ns[1:]):
    res += x + y

print(res + "=7")