Задачи

# Another Game

This is a simple but ancient game. You are supposed to write down the numbers 1, 2, 3, …, 2n – 1, 2n consecutively in clockwise order on the ground to form a circle, and then, to draw some straight line segments to connect them into number pairs. Every number must be connected to exactly one another. And, no two segments are allowed to intersect.

It’s still a simple game, isn’t it? But after you’ve written down the 2n numbers, can you tell me, how many different ways can you connect the numbers into pairs? Life is harder, right?

#### Input

Input contains an integer n (1 ≤ n ≤ 32).

#### Output

Print in a single line the number of ways to connect the 2n numbers into pairs.

Лимит времени 1 секунда
Лимит использования памяти 64 MiB
Входные данные #1
1

Выходные данные #1
1

Входные данные #3
3

Выходные данные #3
5

Источник IZHO 2019 Selection Contest, Dec. 29 2018, Baku