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 PyPy3 (2.4.0) (judge verdict: Accepted)

N=input()
A=int(N[0])
E=7-A
for i in range(8):
 F=["-","-","-"]
 B=int(N[1])
 C=int(N[2])
 D=int(N[3])
 for j in range(3):
  if ((i >> j) & 1):
   F[j]="+"
 if F[0]=="-":
  B*=-1
 if F[1]=="-":
  C*=-1
 if F[2]=="-":
  D*=-1
 if B+C+D==E:
  print(str(A)+str(F[0])+str(abs(B))+str(F[1])+str(abs(C))+str(F[2])+str(abs(D))+"=7")
  break