Train Ticket

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.

Examples

Input

1222

Output

1+2+2+2=7

Input

0290

Output

0-2+9+0=7

Input

3242

Output

3+2+4-2=7

inputFormat

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

outputFormat

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.

Examples

Input

1222

Output

1+2+2+2=7

Input

0290

Output

0-2+9+0=7

Input

3242

Output

3+2+4-2=7

样例

1222

1+2+2+2=7