Three wise men named Caspar, Melchior and Balthazar went shopping in a local store to buy gifts for the birth of the son of a mutual friend, and found gold, frankincense, and myrrh. When they took their gifts to the cashier, she multiplied the prices of the items and found a total price of $65.52. But the wise men informed her that she had multiplied the numbers instead of adding them, and asked her to compute the total price again. With a blush on her cheeks the cashier recalculated the total price, but this time using addition instead of multiplication. To everyone's surprise, the cashier found exactly the same total price as with her first calculation. What were the individual prices of the three gifts?

Input

A number $$t \in \mathbb{R^+}$$ with two decimal digits, where $$t > 0$$.

Output

Determine three numbers $$a, b, c \in \mathbb{R^+}$$ with at most two decimal digits so that: \[\begin{cases} a + b + c = t \\ a \times b \times c = t \\ 0 < a \leq b \leq c \end{cases}\] We also guarantee that there's always a single combination for which the above conditions hold. Output the numbers found using the following template:

$a + $b + $c = $a x $b x $c = $t

All numbers must be represented with two decimal digits.

Example

Input:

65.52

Output:

$0.52 + $2.00 + $63.00 = $0.52 x $2.00 x $63.00 = $65.52