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)

kippu = [int(i) for i in input().split()]

def judge(i, remaining, kigou):
    if i==4 and remaining==0:
        return True, kigou
    elif i==4 and remaining!=0:
        return False ,kigou
    else:
        temp_plus = remaining - kippu[i]
        temp_minus = remaining + kippu[i]
        kigou_plus = kigou + ['+'+str(kippu[i])]
        kigou_minus = kigou + ['-'+str(kippu[i])]
        
        judge_p_result, kigou_p_result = judge(i+1, temp_plus, kigou_plus)
        if judge_p_result:
            return judge_p_result, kigou_p_result
        
        judge_m_result, kigou_m_result = judge(i+1, temp_minus, kigou_minus)
        if judge_m_result:
            return judge_m_result, kigou_m_result

i=1
remaining=7-kippu[0]
kigou=[str(1)]
result, kigou = judge(i,remaining,kigou)
if result:
    print(''.join(kigou) + '=7')