Train Problem II

墨蓝 2022-08-05 05:16 95阅读 0赞

# Train Problem II #

**Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)  
Total Submission(s): 6680    Accepted Submission(s): 3626**

Problem Description

As we all know the Train Problem I, the boss of the Ignatius Train Station want to know if all the trains come in strict-increasing order, how many orders that all the trains can get out of the railway.

Input

The input contains several test cases. Each test cases consists of a number N(1<=N<=100). The input is terminated by the end of file.

Output

For each test case, you should output how many ways that all the trains can get out of the railway.

Sample Input

1
    2
    3
    10

Sample Output

1
    2
    5
    16796
    
    
       
        Hint The result will be very large, so you may not process it by 32-bit integers.

import java.math.BigInteger;
    import java.util.Scanner;
    
    public class Main {
    
    	public static void main(String[] args)
    	{
    		int n;
    		Scanner cin=new Scanner(System.in);
    		BigInteger []k=new BigInteger[107];
    		k[0]=BigInteger.valueOf(1);
    		for(int i=1;i<=100;i++)
    		{
    			k[i]=BigInteger.valueOf(0);
    			for(int j=0;j<=i-1;j++)
    			{
    				k[i]=k[i].add(k[j].multiply(k[i-j-1]));
    			}
    		}
    		while (cin.hasNext())
    		{
    			n=cin.nextInt();
    			System.out.println(k[n]);
    		}
    	}
    
    }

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