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【代码】PAT(甲级)2024夏季考试A-4。

7-3 Postfix Expression (25 分) Given a syntax tree (binary), you are supposed to output the corresponding postfix expression, with parentheses reflecting the precedences of the operators. Input Specification: Each input file contains one test case. For each

7-4 Cartesian Tree (30 分) A Cartesian tree is a binary tree constructed from a sequence of distinct numbers. The tree is heap-ordered, and an inorder traversal returns the original sequence. For example, given the sequence { 8, 15, 3, 4, 1, 5, 12, 10, 18,

7-3Left-View of Binary Tree(25分) The left-view of a binary tree is a list of nodes obtained by looking at the tree from left hand side and from top down. For example, given a tree shown by the figure, its left-view is { 1, 2, 3, 4, 5 } Given the inorder a

1043 Is It a Binary Search Tree (25 分) A Binary Search Tree (BST) is recursively defined as a binary tree which has the following properties: The left subtree of a node contains only nodes with keys less than the node’s key. The right subtree of a node con

1066 Root of AVL Tree (25 分) An AVL tree is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they differ by more than one, rebalancing is done to restore this prope

1086 Tree Traversals Again (25 分) An inorder binary tree traversal can be implemented in a non-recursive way with a stack. For example, suppose that when a 6-node binary tree (with the keys numbered from 1 to 6) is traversed, the stack operations are: push

1094 The Largest Generation (25 分) A family hierarchy is usually presented by a pedigree tree where all the nodes on the same level belong to the same generation. Your task is to find the generation with the largest population. Input Specification: Each in

1099 Build A Binary Search Tree (30 分) A Binary Search Tree (BST) is recursively defined as a binary tree which has the following properties: The left subtree of a node contains only nodes with keys less than the node’s key. The right subtree of a node con

1103 Integer Factorization (30 分) The K−P factorization of a positive integer N is to write N as the sum of the P-th power of K positive integers. You are supposed to write a program to find the K−P factorization of N for any positive integers N, K and P.

1110 Complete Binary Tree (25 分) Given a tree, you are supposed to tell if it is a complete binary tree. Input Specification: Each input file contains one test case. For each case, the first line gives a positive integer N (≤20) which is the total number o

1115 Counting Nodes in a BST (30 分) A Binary Search Tree (BST) is recursively defined as a binary tree which has the following properties: The left subtree of a node contains only nodes with keys less than or equal to the node’s key. The right subtree of a

1119 Pre- and Post-order Traversals (30 分) Suppose that all the keys in a binary tree are distinct positive integers. A unique binary tree can be determined by a given pair of postorder and inorder traversal sequences, or preorder and inorder traversal seq

1123 Is It a Complete AVL Tree (30 分) An AVL tree is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they differ by more than one, rebalancing is done to restore t

1127 ZigZagging on a Tree (30 分) Suppose that all the keys in a binary tree are distinct positive integers. A unique binary tree can be determined by a given pair of postorder and inorder traversal sequences. And it is a simple standard routine to print th

1130 Infix Expression (25 分) Given a syntax tree (binary), you are supposed to output the corresponding infix expression, with parentheses reflecting the precedences of the operators. Input Specification: Each input file contains one test case. For each ca

1135 Is It A Red-Black Tree (30 分) There is a kind of balanced binary search tree named red-black tree in the data structure. It has the following 5 properties: (1) Every node is either red or black. (2) The root is black. (3) Every leaf (NULL) is black. (

1138 Postorder Traversal (25 分) Suppose that all the keys in a binary tree are distinct positive integers. Given the preorder and inorder traversal sequences, you are supposed to output the first number of the postorder traversal sequence of the correspond

1143 Lowest Common Ancestor (30 分) The lowest common ancestor (LCA) of two nodes U and V in a tree is the deepest node that has both U and V as descendants. A binary search tree (BST) is recursively defined as a binary tree which has the following properti

1146 Topological Order (25 分) This is a problem given in the Graduate Entrance Exam in 2018: Which of the following is NOT a topological order obtained from the given directed graph? Now you are supposed to write a program to test each of the options. Inp

1147 Heaps (30 分) In computer science, a heap is a specialized tree-based data structure that satisfies the heap property: if P is a parent node of C, then the key (the value) of P is either greater than or equal to (in a max heap) or less than or equal to

The lowest common ancestor (LCA) of two nodes U and V in a tree is the deepest node that has both U and V as descendants. Given any two nodes in a binary tree, you are supposed to find their LCA. Input Specification: Each input file contains one test case.

Structure of a Binary Tree (30分) 重复代码很多，可以修剪一下 #include<bits/stdc++.h> using namespace std; struct Node { int left,right; int level,parent; Node() { left=right=parent=-1; } } node[1005]; vector<int>in,post; void Level(int root) { queue&l

https://pintia.cn/problem-sets/994805342720868352/problems/1071785408849047552 1155 Heap Paths (30分) In computer science, a heap is a specialized tree-based data structure that satisfies the heap property: if P is a parent node of C, then the key (the valu

https://pintia.cn/problem-sets/994805342720868352/problems/994805365537882112 1102 Invert a Binary Tree (25分) The following is from Max Howell @twitter: Google: 90% of our engineers use the software you wrote (Homebrew), but you can’t invert a binary tree

1004 Counting Leaves (30分) A family hierarchy is usually presented by a pedigree tree. Your job is to count those family members who have no child. Input Specification: Each input file contains one test case. Each case starts with a line containing 0<N&

05-树9 Huffman Codes (30分) In 1953, David A. Huffman published his paper “A Method for the Construction of Minimum-Redundancy Codes”, and hence printed his name in the history of computer science. As a professor who gives the final exam problem on Huffman c

05-树8 File Transfer (25分) We have a network of computers and a list of bi-directional connections. Each of these connections allows a file transfer from one computer to another. Is it possible to send a file from any computer on the network to any other? I

05-树7 堆中的路径 (25分) 将一系列给定数字插入一个初始为空的小顶堆H[]。随后对任意给定的下标i，打印从H[i]到根结点的路径。 输入格式: 每组测试第1行包含2个正整数N和M(≤1000)，分别是插入元素的个数、以及需要打印的路径条数。下一行给出区间[-10000, 10000]内的N个要被插入一个初始为空的小顶堆的整数。最后一行给出M个下标。 输出格式: 对输入中给出的每个下标i，在一行中输出从H[i]到根结点的路径上的数据。数字间以1个空格分隔，行末不得有多余空格。 输入样例: 5 3 46

04-树7 二叉搜索树的操作集 (30分) Position Find( BinTree BST, ElementType X ) { if(!BST) { return NULL; } else { while(BST) { if(BST->Data<X) BST=BST->Right; else if(BST->Data>X) { BST=BST->Left; } else return BST; } re

04-树6 Complete Binary Search Tree (30分) A Binary Search Tree (BST) is recursively defined as a binary tree which has the following properties: The left subtree of a node contains only nodes with keys less than the node’s key. The right subtree of a node co

04-树5 Root of AVL Tree (25分) An AVL tree is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they differ by more than one, rebalancing is done to restore this prope

04-树4 是否同一棵二叉搜索树 (25分) 给定一个插入序列就可以唯一确定一棵二叉搜索树。然而，一棵给定的二叉搜索树却可以由多种不同的插入序列得到。例如分别按照序列{2, 1, 3}和{2, 3, 1}插入初始为空的二叉搜索树，都得到一样的结果。于是对于输入的各种插入序列，你需要判断它们是否能生成一样的二叉搜索树。 输入格式: 输入包含若干组测试数据。每组数据的第1行给出两个正整数N (≤10)和L，分别是每个序列插入元素的个数和需要检查的序列个数。第2行给出N个以空格分隔的正整数，作为初始插入序列。最后

03-树3 Tree Traversals Again (25分) An inorder binary tree traversal can be implemented in a non-recursive way with a stack. For example, suppose that when a 6-node binary tree (with the keys numbered from 1 to 6) is traversed, the stack operations are: push

03-树2 List Leaves (25分) Given a tree, you are supposed to list all the leaves in the order of top down, and left to right. Input Specification: Each input file contains one test case. For each case, the first line gives a positive integer N (≤10) which is

03-树1 树的同构 (25分) 给定两棵树T1和T2。如果T1可以通过若干次左右孩子互换就变成T2，则我们称两棵树是“同构”的。例如图1给出的两棵树就是同构的，因为我们把其中一棵树的结点A、B、G的左右孩子互换后，就得到另外一棵树。而图2就不是同构的。 图1 图2 现给定两棵树，请你判断它们是否是同构的。 输入格式: 输入给出2棵二叉树树的信息。对于每棵树，首先在一行中给出一个非负整数N (≤10)，即该树的结点数（此时假设结点从0到N−1编号）；随后N行，第i行对应编号第i个结点，给出该结点中存储的

二叉树的遍历操作 #include<iostream> #include<stack> #include<queue> using namespace std; typedef int ElementType; typedef struct TNode* Position; typedef Position BinTree; struct TNode { ElementType Data; BinTree Left; BinTree Right; }; //1