题目 题意:给你一个数字n,问你将1~n这n个数字,可以组成多少棵不同的二叉搜索树. 1,2,5,14--根据输出中的规律可以看出这是一个卡特兰数的序列.于是代用卡特兰数中的一个递推式: 因为输入可取到100,用无符号位计算最高可计算33个卡特兰数,所以可以用java中的大数 import java.math.BigInteger; import java.util.Scanner; public class Main { public static void main(String[] arg…

卡特兰数又称卡塔兰数,英文名Catalan number,是组合数学中一个常出现在各种计数问题中出现的数列. 以比利时的数学家欧仁·查理·卡塔兰 (1814–1894)的名字来命名,其前几项为(从第零项开始) : 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 656412042…

How Many Trees? Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 3952    Accepted Submission(s): 2238 Problem Description A binary search tree is a binary tree with root k such that any node v re…

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()…

裸的卡特兰数 C++#include<iostream> #include<cstdio> using namespace std; #define base 10000 #define len 100 void multiply(int a[],int max,int b) { ; ;i>=;i--) { array+=b*a[i]; a[i]=array%base; array/=base; } } void divide(int a[],int max,int b) {…

设50元的人为+1 100元的人为-1 满足前随意k个人的和大于等于0 卡特兰数 C(n+m, m)-C(n+m, m+1)*n!*m! import java.math.*; import java.util.*; public class Main { /** * @param args */ public static void main(String[] args) { Scanner sc = new Scanner(System.in); int cas = 1; while(tru…

How Many Trees? Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 3317    Accepted Submission(s): 1922 Problem Description A binary search tree is a binary tree with root k such that any node v r…

Brackets Problem Description We give the following inductive definition of a “regular brackets” sequence:● the empty sequence is a regular brackets sequence,● if s is a regular brackets sequence, then (s) are regular brackets sequences, and● if a and…

How Many Trees? Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 3382    Accepted Submission(s): 1960 Problem Description A binary search tree is a binary tree with root k such that any node v re…

Tree Maker Problem Description Tree Lover loves trees crazily. One day he invents an interesting game which is named Tree Maker. In this game, all trees are binary trees. Initially, there is a tree with only one vertex and a cursor on it. Tree Lover…