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)

def inputs(num_of_input):
    ins = [input() for i in range(num_of_input)]
    return ins


def solve(inputs):
    nums = list(map(lambda x: int(x), inputs[0]))
    OPS = ["+", "-"]
    for temp_op1 in OPS:
        for temp_op2 in OPS:
            for temp_op3 in OPS:
                sum = nums[0]
                if temp_op1 == "+":
                    sum += nums[1]
                else:
                    sum -= nums[1]

                if temp_op2 == "+":
                    sum += nums[2]
                else:
                    sum -= nums[2]

                if temp_op3 == "+":
                    sum += nums[3]
                else:
                    sum -= nums[3]

                if sum == 7:
                    return "%d%s%d%s%d%s%d=7" % (
                        nums[0],
                        temp_op1,
                        nums[1],
                        temp_op2,
                        nums[2],
                        temp_op3,
                        nums[3],
                    )
    return ""


if __name__ == "__main__":
    ret = solve(inputs(1))
    print(ret)