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)

s = list(input())

def calc(i, a, b):
  a ,b = int(a), int(b)
  if i==0:
    c = a+b
  elif i==1:
    c = a-b
  return c
 
def tag(t_list):
  t = []
  for p in t_list:
    if p==0:
        t.append('+')
    else:
        t.append('-')
  return(t)
    
for i in range(2):
  c = calc(i,s[0],s[1])
  for j in range(2):
    d = calc(j,c,s[2])
    for k in range(2):
      e = calc(k,d,s[3])
      if e == 7:
        t_list = [i,j,k]
        t = tag(t_list)
        print(s[0]+t[0]+s[1]+t[1]+s[2]+t[2]+s[3]+'=7')
        exit()