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
mysql客户端工具使用
查看>>
MySQL密码忘记,怎么办?
查看>>
mysql对同一张表进行查询和赋值更新
查看>>
mysql导入数据库出现:Incorrect string value: '\xE7\x82\xB9\xE9\x92\x9F' for column 'chinese' at row 1...
查看>>
mysql导入(ibd文件)
查看>>
Mysql工作笔记006---Mysql服务器磁盘爆满了_java.sql.SQLException: Error writing file ‘tmp/MYfXO41p‘
查看>>
MySQL工具1:mysqladmin
查看>>
mysql常用命令
查看>>
MySQL常用命令
查看>>
mysql常用命令
查看>>
MySQL常用指令集
查看>>
mysql常用操作
查看>>
MySQL常用日期格式转换函数、字符串函数、聚合函数详
查看>>
MySQL常见架构的应用
查看>>
MySQL常见的三种存储引擎(InnoDB、MyISAM、MEMORY)
查看>>
MySQL常见约束条件
查看>>
MySQL常见错误
查看>>
MySQL常见错误分析与解决方法总结
查看>>
mysql并发死锁案例
查看>>
MySQL底层概述—1.InnoDB内存结构
查看>>