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)


def f2(a,b,c,d,s):
    if a-b<7:
        if a-b+c<7:
            if a-b+c+d==7:
                s[1],s[3],s[5]="-","+","+"
        elif a-b+c>=7:
            if a-b+c-d==7:
                s[1],s[3],s[5]="-","+","-"
    elif a-b>=7:
        if a-b-c<7:
            if a-b+c+d==7:
                s[1],s[3],s[5]="-","-","+"
        elif a-b-c>=7:
            if a-b+c-d==7:
                s[1],s[3],s[5]="-","-","-"

def f1(a,b,c,d,s):
    if a+b<7:
        if a+b+c<7:
            if a+b+c+d==7:
                s[1],s[3],s[5]="+","+","+"
            elif a+b+c+d!=7:
                f2(a,b,c,d,s)
        elif a+b+c>=7:
            if a+b+c-d==7:
                s[1],s[3],s[5]="+","+","-"
            elif a+b+c-d!=7:
                f2(a,b,c,d,s)
    elif a+b>=7:
        if a+b-c<7:
            if a+b-c+d==7:
                s[1],s[3],s[5]="+","-","+"
            elif a+b-c+d!=7:
                f2(a,b,c,d,s)
        elif a+b-c>=7:
            if a+b-c-d==7:
                s[1],s[3],s[5]="+","-","-"
            elif a+b-c-d!=7:
                f2(a,b,c,d,s)



x=str(input())
ans=''

a=int(x[0])
b=int(x[1])
c=int(x[2])
d=int(x[3])

s=[a,"",b,"",c,"",d]

f1(a,b,c,d,s)

for x in s:
    ans+=str(x)

print(ans+"=7")