[HDU3240]Counting Binary Trees(不互质同余除法) Counting Binary TreesTime Limit: 6000/3000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 564 Accepted Submission(s): 184Problem Desc
题目地址:http://acm.hdu.edu.cn/showproblem.php?pid=3240 卡特兰数递推公式h(i)=h(i-1)*(4*i-2)/(i+1) 如果直接算每一步,然后modm的话,有错误,因为h(i-1)%m后,h(i-1)*(4*i-2)不一定能整除(i+1),所以不行。 其实只需要把答案看做两部分的乘积:一部分是与m互素的,这一部分的乘法直...
Counting Binary Trees Problem Description There are 5 distinct binary trees of 3 nodes: Let T(n) be the number of distinct non-empty binary trees of no more thannnodes, your task is to calculate T(n) modm. Input The input contains at most 10 test cases. Each case contains two integers...
There are 5 distinct binary trees of 3 nodes: Let T(n) be the number of distinct non-empty binary trees of no more than nnodes, your task is to calculate T(n) mod m. Input The input contains at most 10 test cases. Each case contains two integers n and m (1 <= n <= 100,00...
We investigate properties of binary (search) trees related to the "inorder" labelling of the nodes. Both permutation and uniform trees are considered. We give explicit formulas to count the number of interior, middle and final nodes (leaves) containing a specific label. Possible applications are...
Borel's triangle is an array of integers closely related to the classical Catalan numbers. In this paper we study combinatorial statistics counted by Borel's triangle. We present various combinatorial interpretations of Borel's triangle in terms of lattice paths, binary trees, and pattern avoiding ...
我们回忆块状链表的内容,可以配合做出相应的改变。比如,一开始我们用树状数组(Binary Indexed Trees)求逆序对,那么可以产生相应的块状树状数组。我们通过分块维护来降低维护的费用。 这样一来问题就变得比较简单了。需要说明的是,具体编写程序的时候需要在 的基础上加权分块,不然会出现TLE的问题。
The number of spanning trees of a graph $G$ is called the {\\em complexity} of $G$ and is denoted $c(G)$. Let C(n) denote the {\\em (binary) hypercube} of dimension $n$. A classical result in enumerative combinatorics (based on explicit diagonalization) states that $c(C(n))...
题目描述 Givenabinarysearchtree(BST), findthelowest common ancestor (LCA)oftwo givennodesin...definedbetween twonodesp and qasthelowestnodeinT thathasboth p and qasdescendants (where we 数据结构与算法 学习笔记(7):二叉树和树 definedasabinarytreeinwhichthedepthofthetwo subtreesofeverynodenever diff...
Both the left and right subtrees must also be binary search trees. Insert a sequence of numbers into an initially empty binary search tree. Then you are supposed to count the total number of nodes in the lowest 2 levels of the resulting tree. Input Specification: Each input file contains ...