一个出栈有多少种顺序的问题.一般都知道是Catalan数了. 问题是这个Catalan数非常大,故此须要使用高精度计算. 并且打表会速度快非常多.打表公式要熟记: Catalan数公式 Cn=C(2n,n) / (n+1); 递推公式 C(n ) = C(n-1)*(4*n-2) / (n+1) 高精度乘以一个整数和高精度除以一个整数的知识.这样还是使用整数数组比較好计算,假设使用string那么就不太好计算了,由于整数也可能是多位的. const int MAX_N = 101; short…

Train Problem II Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 4358    Accepted Submission(s): 2391 Problem Description As we all know the Train Problem I, the boss of the Ignatius Train Stati…

题目连接 http://acm.hdu.edu.cn/showproblem.php?pid=1212 Train Problem II 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 t…

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…

链接:传送门 题意:裸卡特兰数,但是必须用大数做 balabala:上交高精度模板题,增加一下熟悉度 /************************************************************************* > File Name: hdu1023.cpp > Author: WArobot > Blog: http://www.cnblogs.com/WArobot/ > Created Time: 2017年05月11日 星期四 19…

题意: 给出一个数字n,假设火车从1~n的顺序分别进站,求有多少种出站序列. 思路: 卡特兰数的经典例子.n<101,用递推式解决.需要使用到大数.n=100时大概有200位以下. #include <bits/stdc++.h> using namespace std; ; vector<string> vect; void _mult(string num1, string num2, string &result ) { reverse(num1.begin()…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1023 Train Problem II Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 12035    Accepted Submission(s): 6422 Problem Description As we all know the…

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 Stat…

卡特兰数: Catalan数 原理: 令h(1)＝1,h(0)=1,catalan数满足递归式: h(n)= h(1)*h(n-1) + h(2)*h(n-2) + ... + h(n-1)h(1) (其中n>=2) 另类递归式: h(n)=((4*n-2)/(n+1))*h(n-1); 该递推关系的解为: h(n+1)=C(2n,n)/(n+1) (n=1,2,3,...) 最典型的四类应用:(实质上却都一样,无非是递归等式的应用,就看你能不能分解问题写出递归式了) 1.括号化问题. 矩阵链乘…

火车进站出站的问题满足卡特兰数...卡特兰数的相关知识如下: 卡特兰数又称卡塔兰数,是组合数学中一个常出现在各种计数问题中出现的数列.由以比利时的数学家欧仁·查理·卡塔兰 (1814–1894)命名. 前几项为 (OEIS中的数列A000108): 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 176…