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)

n = list(map(int,list(input())))
limit = 7
d = [ [] for i in range(len(n))]
op = [ [] for i in range(len(n))]

for i,val in enumerate(n):
	if i == 0:
		d[0].append(n[0])
		op[0].append("")
	else:
		for j in d[i-1]:
			d[i].append(j+val)
			d[i].append(j-val)
		for j in op[i-1]:
			op[i].append(j + "+")
			op[i].append(j + "-")


_op = op[len(n)-1][d[len(n)-1].index(limit)]

s = ""
for i,val in enumerate(n):
	s += str(val)
	if i == len(n)-1:
		break
	else:
		s += _op[i]
s += "="+str(limit)
print(s)