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)

a,b,c,d=[int(i) for i in input()]
l=7-a
f=[-1,-1,-1]
for i in range(2):
    for j in range(2):
        for k in range(2):
            l_sub=l
            if i==0:
                l_sub-=(b)
            else:
                l_sub-=(-b)
            if j==0:
                l_sub-=(c)
            else:
                l_sub-=(-c)
            if k==0:
                l_sub-=(d)
            else:
                l_sub-=(-d)
            if l_sub==0:
                f=[i,j,k]
        if f!=[-1,-1,-1]:
            break
    if f!=[-1,-1,-1]:
        break
s=str(a)
if f[0]==0:
    s+="+"
else:
    s+="-"
s+=str(b)
if f[1]==0:
    s+="+"
else:
    s+="-"
s+=str(c)
if f[2]==0:
    s+="+"
else:
    s+="-"
s+=str(d)
s+="=7"

print(s)