题目描述
Problem Statement
There is an iron bar of length L lying east-west. We will cut this bar at 11 positions to divide it into 12 bars. Here, each of the 12 resulting bars must have a positive integer length.
Find the number of ways to do this division. Two ways to do the division are considered different if and only if there is a position cut in only one of those ways.
Under the constraints of this problem, it can be proved that the answer is less than 2^{63}.
Input
Input is given from Standard Input in the following format:
L
Output
Print the number of ways to do the division.
Constraints
- $12 \le L \le 200$
- L is an integer.
Sample Input 1
12
Sample Output 1
1
There is only one way: to cut the bar into 12 bars of length 1 each.
Sample Input 2
13
Sample Output 2
12
Just one of the resulting bars will be of length 2. We have 12 options: one where the westmost bar is of length 2, one where the second bar from the west is of length 2, and so on.
Sample Input 3
17
Sample Output 3
4368
输入格式
见题面 Input 部分
输出格式
见题面 Output 部分