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CSU1576: Catalan Square

Description

CSU1576: Catalan Square
CSU1576: Catalan Square

Input

CSU1576: Catalan Square

Output

CSU1576: Catalan Square

Sample Input

Sample Output

1      

HINT

Source

NCPC 2014

题目我没看,直接看公式和输出要求就开始做了,意思就是求公式。。

明显大数,java搞起

import java.util.*;
import java.math.*;
 
public class Main{
    BigInteger[] Cal = new BigInteger[6000];    
    void GetCal(){ 
           
        Cal[0]=BigInteger.ONE; 
        Cal[1]=BigInteger.ONE; 
           
        for(int i=2;i<=5100;i++) 
        { 
            BigInteger v1=BigInteger.valueOf(2*i*(2*i-1)); 
            BigInteger v2=BigInteger.valueOf(i*(i+1)); 
            Cal[i]=Cal[i-1].multiply(v1).divide(v2); 
        } 
    } 
     
    Main() 
    { 
        Scanner in = new Scanner(System.in); 
        int n=in.nextInt(); 
        GetCal(); 
        System.out.println(Cal[n+1]); 
    } 
       
    public static void main(String[] args) { 
        new Main(); 
    } 
}