题目链接: http://codeforces.com/contest/675/problem/D 题意: 给你一系列点,叫你构造二叉搜索树,并且按输入顺序输出除根节点以外的所有节点的父亲. 题解: n有10^5,如果直接去建树,最会情况会O(n^2)t掉. 因此我们需要利用一些二叉搜索树的性质: 对于当前输入节点v,找出已经输入的最大的l和最小的r使得l<v<r. 由于输入v之前l和r中间是没有数的,所以l和r必定为祖先和后代的关系,如果不是的话,就会导致l和r中间还有数(l和r的公共祖先)…

D. Tree Construction 题目连接: http://www.codeforces.com/contest/675/problem/D Description During the programming classes Vasya was assigned a difficult problem. However, he doesn't know how to code and was unable to find the solution in the Internet, so…

Tree Construction Problem's Link ---------------------------------------------------------------------------- Mean: 给定n个数,按照构造Binary Search Tree的方式来构造BST树,按顺序输出每一个非root结点的父节点的值. analyse: 构造BST树最坏情况下时间复杂度为O(n),肯定会超时. 注意到只需要输出结点的父节点的值,不需要真的构造BST树. 插到第i…

题目链接:http://codeforces.com/problemset/problem/675/D 给你一个如题的二叉树,让你求出每个节点的父节点是多少. 用set来存储每个数,遍历到a[i]的时候查找比a[i]大的数的位置,然后插入,而父亲就是刚好比a[i]小的数或刚好大的数. 然后讨论是哪一个数. 比如给你3 1 2 ,如图 1的父亲是3 ,2的父亲是1. 那我其实只要找左边或右边出现最晚的数就行了,用pair的first表示a[i],second表示出现的顺序i. #include <…

Codeforces Round #499 (Div. 1) F. Tree 题目链接 \(\rm CodeForces\):https://codeforces.com/contest/1010/problem/F Solution 设\(v_i\)表示第\(i\)个点的果子数,设\(b_i=v_i-\sum_{x\in son}v_x\),显然依题意要满足\(b_i\geqslant 0\). 根据差分的性质我们可以得到\(\sum b_i=x\). 假设我们硬点树上剩下了\(m\)个点,则…

4.5 Implement a function to check if a binary tree is a binary search tree. LeetCode上的原题,请参见我之前的博客Validate Binary Search Tree 验证二叉搜索树.…

Problems     # Name     A Infinite Sequence standard input/output 1 s, 256 MB    x3509 B Restoring Painting standard input/output 1 s, 256 MB    x2519 C Money Transfers standard input/output 1 s, 256 MB    x724 D Tree Construction standard input/outp…

Given an array of numbers, verify whether it is the correct preorder traversal sequence of a binary search tree. You may assume each number in the sequence is unique. Follow up: Could you do it using only constant space complexity? 这道题让给了我们一个一维数组,让我们…

Implement an iterator over a binary search tree (BST). Your iterator will be initialized with the root node of a BST. Calling next() will return the next smallest number in the BST. Note: next() and hasNext() should run in average O(1) time and uses…

Two elements of a binary search tree (BST) are swapped by mistake. Recover the tree without changing its structure. Note:A solution using O(n) space is pretty straight forward. Could you devise a constant space solution? confused what "{1,#,2,3}"…