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 Ruby (2.3.3) (judge verdict: Accepted)

line = gets.chomp.chars.map(&:to_i)
first, second, third = 0, 0, 0

(1..7).each do |bit|
	first = (bit>>2 & 1 == 1 ? [1,"+"] : [-1,"-"] )
	second = (bit>>1 & 1 == 1 ? [1,"+"] : [-1,"-"] )
	third = (bit & 1 == 1 ? [1,"+"] : [-1,"-"] )

	if line[0] + line[1]*first[0] + line[2]*second[0] + line[3]*third[0] == 7
		print line[0], first[1], line[1], second[1], line[2], third[1], line[3], "=7"
		exit
	end
end