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: Wrong Answer)

import copy


def main():
    A = list(input())
    AA = list(map(int, A))

    s = AA[0]
    A = copy.deepcopy(AA)
    A.pop(0)
    A = sorted(A)

    op = []
    for _ in range(3):
        if s < 7:
            s += A[-1]
            op.append(["+", A[-1]])
        else:
            s -= A[-1]
            op.append(["-", A[-1]])
        A.pop(-1)

    if s != 7:
        s == AA[0]
        A = copy.deepcopy(AA)
        A.pop(0)
        A = sorted(A)
        op = []
        for _ in range(3):
            if s <= 7:
                s += A[-1]
                op.append(["+", A[-1]])
            else:
                s -= A[-1]
                op.append(["-", A[-1]])
            A.pop(-1)

    ans = [str(AA[0])]
    for i in range(1, 4):
        for j in range(len(op)):
            if AA[i] == op[j][1]:
                ans.append(op[j][0] + str(op[j][1]))
                op.pop(j)
                break
    ans.append("=7")
    print(''.join(ans))


main()