杭电1023Train Problem II

Train Problem II

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 6995    Accepted Submission(s): 3786


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.

 
卡特兰数，附送大数卡特兰数模板
附代码：

#include<cstdio>
#include<cstring>
#define N 60
using namespace std;
int main()
{
int h[101][2*N+1],i,j,k,l,n;
memset(h,0,sizeof(h));
h[0][1]=1;h[1][1]=1;
for(i=2;i<=100;i++)
{
for(j=0;j<i;j++)
for(k=1;k<N;k++)
for(l=1;l<N;l++)
h[i][k+l-1]+=h[j][k]*h[i-j-1][l];
for(j=1;j<N;j++)
{
h[i][j+1]+=h[i][j]/10;
h[i][j]%=10;
}
}
while(scanf("%d",&n)!=EOF)
{
i=N;
while(h
[--i]==0);
for(j=i;j>0;j--)
printf("%d",h
[j]);
printf("\n");
}
return 0;
}