#include <stdio.h>
#include <stdlib.h>
#define MAXN 40
long long Catalan[MAXN];
long long CatalanCalc()
{
Catalan[0]=1;
Catalan[1]=1;
for(long long i = 2; i < MAXN; i++)
{
Catalan[i] = 0;
for(long long j = 0; j < i; j++)
Catalan[i] += (Catalan[j] * Catalan[i-1-j]);
}
}
long long CatalanCalc2()
{
Catalan[0]=1;
Catalan[1]=1;
for(long long i = 2; i < MAXN; i++)
{
Catalan[i] = Catalan[i-1] * (4 * i - 2) / (i + 1);
}
}
int main()
{
#define FILE_IN_OUT
#ifdef FILE_IN_OUT
freopen ("test.in","r",stdin);
freopen ("test.out","w",stdout);
#endif
int n;
//CatalanCalc();
CatalanCalc2();
while (scanf("%d",&n)!=EOF&&printf("%lld\n",Catalan[n]));
#ifdef FILE_IN_OUT
fclose(stdin);
fclose(stdout);
#endif
return 0;
}
卡特兰数的两种计算方法
最新推荐文章于 2025-05-08 21:39:19 发布