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: Runtime Error)

ns = [int(n) for n in input()]

for i in range(0b000, 0b111 + 1):
    s = ns[0]
    if (i & 0b100) != 0:
        s += ns[1]
    else:
        s -= ns[1]

    if (i & 0b010) != 0:
        s += ns[2]
    else:
        s -= ns[2]

    if (i & 0b001) != 0:
        s += ns[3]
    else:
        s -= ns[3]

    if s == 7:
        ops = bin(i)
        ops = ops[2:]
        if len(ops) == 2:
            ops = '0' + ops

        ops = ['+' if a == '1' else '-' for a in ops]
        sns = [str(n) for n in ns]
        ans = sns[0] + ops[0] + sns[1] + ops[1] + sns[2] + ops[2] + sns[3] + '=7'
        break

print(ans)