博客
关于我
Train Problem II(卡特兰数+大数乘除)
阅读量:628 次
发布时间:2019-03-13

本文共 1689 字,大约阅读时间需要 5 分钟。

Train Problem II

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 7539    Accepted Submission(s): 4062

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
12310
 

 

Sample Output
12516796
Hint
The result will be very large, so you may not process it by 32-bit integers.
 
题解:卡特兰数:h( n ) = ( ( 4*n-2 )/( n+1 )*h( n-1 ) );也可以用java,h(n)= h(0)*h(n-1) + h(1)*h(n-2) + + h(n-1)h(0) (其中n>=2);
这里用的大数;
代码:
#include
#include
#include
#include
#include
#include
using namespace std;const int INF=0x3f3f3f3f;#define mem(x,y) memset(x,y,sizeof(x))#define SI(x) scanf("%d",&x)#define PI(x) printf("%d",x)int N;//h( n ) = ( ( 4*n-2 )/( n+1 )*h( n-1 ) );int ans[110][110];void db(){ ans[0][0]=1; ans[0][1]=1; ans[1][0]=1; ans[1][1]=1; int len=1,yu=0; for(int i=2;i<=100;i++){ for(int j=1;j<=len;j++){ int t=ans[i-1][j]*(4*i-2)+yu; yu=t/10; ans[i][j]=t%10; } while(yu){ ans[i][++len]=yu%10; yu/=10; } for(int j=len;j>=1;j--){ int t=ans[i][j]+yu*10; ans[i][j]=t/(i+1); yu=t%(i+1); } while(!ans[i][len])len--; ans[i][0]=len; }}int main(){ mem(ans,0); db(); while(~SI(N)){ for(int i=ans[N][0];i>=1;i--)printf("%d",ans[N][i]); puts(""); } return 0;}

 

转载地址:http://fpeaz.baihongyu.com/

你可能感兴趣的文章
MariaDB的简单使用
查看>>
MaterialForm对tab页进行隐藏
查看>>
Member var and Static var.
查看>>
memcached高速缓存学习笔记001---memcached介绍和安装以及基本使用
查看>>
memcached高速缓存学习笔记003---利用JAVA程序操作memcached crud操作
查看>>
Memcached:Node.js 高性能缓存解决方案
查看>>
memcache、redis原理对比
查看>>
memset初始化高维数组为-1/0
查看>>
Metasploit CGI网关接口渗透测试实战
查看>>
Metasploit Web服务器渗透测试实战
查看>>
Moment.js常见用法总结
查看>>
MongoDB出现Error parsing command line: unrecognised option ‘--fork‘ 的解决方法
查看>>
mxGraph改变图形大小重置overlay位置
查看>>
MongoDB学习笔记(8)--索引及优化索引
查看>>
MQTT工作笔记0009---订阅主题和订阅确认
查看>>
ms sql server 2008 sp2更新异常
查看>>
MS UC 2013-0-Prepare Tool
查看>>
msbuild发布web应用程序
查看>>
MSB与LSB
查看>>
MSCRM调用外部JS文件
查看>>