Find the product 2#11435

Find the product 2

1 second

128 megabytes

Very easy

For the given positive integer $n$ find the product

(1 + \frac{1}{1 ^{2}}) \cdot (1 + \frac{1}{2 ^{2}}) \cdot \dots \cdot (1 + \frac{1}{n ^{2}})

\left (1 + \dfrac{1}{1^2} \right ) \cdot \left (1 + \dfrac{1}{2^2} \right ) \cdot \ldots \cdot \left (1 + \dfrac{1}{n^2} \right )

Input

One integer $n (n \leq 1000)$ n\:(n \le 1000).

Print the value of the product with $6$ decimal digits.

Example 1

Loading

(1 + \frac{1}{1 ^{2}}) \cdot (1 + \frac{1}{2 ^{2}}) \cdot \dots \cdot (1 + \frac{1}{n ^{2}})

n (n \leq 1000)