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报错ERROR 1045 (28000): Access denied for user ‘root‘@‘localhost‘
查看>>
Mysql报错Packet for query is too large问题解决
查看>>
mysql报错级别_更改MySQL日志错误级别记录非法登陆(Access denied)
查看>>
Mysql报错:too many connections
查看>>
MySQL报错:无法启动MySQL服务
查看>>
mysql授权用户,创建用户名密码,授权单个数据库,授权多个数据库
查看>>
mysql排序查询
查看>>
MySQL排序的艺术:你真的懂 Order By吗?
查看>>
MySQL排序的艺术:你真的懂 Order By吗?
查看>>
Mysql推荐书籍
查看>>
Mysql插入数据从指定选项中随机选择、插入时间从指定范围随机生成、Navicat使用存储过程模拟插入测试数据
查看>>
MYSQL搜索引擎
查看>>
mysql操作数据表的命令_MySQL数据表操作命令
查看>>
mysql操作日志记录查询_如何使用SpringBoot AOP 记录操作日志、异常日志?
查看>>
MySQL支持的事务隔离级别,以及悲观锁和乐观锁的原理和应用场景?
查看>>
mysql支持表情
查看>>
MySQL支撑百万级流量高并发的网站部署详解
查看>>
MySQL改动rootpassword的多种方法
查看>>
mysql数据分组索引_MYSQL之索引配置方法分类
查看>>
mysql数据取差,mysql屏蔽主外键关联关系
查看>>