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)

import sys

sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")

def main():
    otos=lambda x:"+" if x==1 else "-"
    abcd=int(input())
    abc,d=divmod(abcd,10)
    ab,c=divmod(abc,10)
    a,b=divmod(ab,10)
    for o1 in [1,-1]:
        for o2 in [1, -1]:
            for o3 in [1, -1]:
                s=a+o1*b+o2*c+o3*d
                if s==7:
                    ans=str(a)+otos(o1)+str(b)+otos(o2)+str(c)+otos(o3)+str(d)+"=7"
                    print(ans)
                    exit()

main()