https://pintia.cn/problem-sets/994805342720868352/problems/994805407749357568
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 contains only nodes with keys greater than or equal to the node's key.
- Both the left and right subtrees must also be binary search trees.
A Complete Binary Tree (CBT) is a tree that is completely filled, with the possible exception of the bottom level, which is filled from left to right.
Now given a sequence of distinct non-negative integer keys, a unique BST can be constructed if it is required that the tree must also be a CBT. You are supposed to output the level order traversal sequence of this BST.
Input Specification:
Each input file contains one test case. For each case, the first line contains a positive integer N (≤1000). Then N distinct non-negative integer keys are given in the next line. All the numbers in a line are separated by a space and are no greater than 2000.
Output Specification:
For each test case, print in one line the level order traversal sequence of the corresponding complete binary search tree. All the numbers in a line must be separated by a space, and there must be no extra space at the end of the line.
Sample Input:
10
1 2 3 4 5 6 7 8 9 0
Sample Output:
6 3 8 1 5 7 9 0 2 4
代码:
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 10; int N; int a[maxn]; vector<int> level; void levelorder(int st, int en, int index) { if(st > en) return ; int n = en - st + 1; int l = log(n + 1) / log(2); int leave = n - (pow(2, l) - 1); int root = st + (pow(2, l - 1) - 1) + min((int)pow(2, l - 1), leave); level[index] = a[root]; levelorder(st, root - 1, 2 * index + 1); levelorder(root + 1, en, 2 * index + 2); } int main() { scanf("%d", &N); level.resize(N); for(int i = 0; i < N; i ++) scanf("%d", &a[i]); sort(a, a + N); levelorder(0, N - 1, 0); for(int i = 0; i < N; i ++) { printf("%d", level[i]); printf("%s", i != N - 1 ? " " : " "); } return 0; }
https://www.liuchuo.net/archives/2161
还是自己太菜了 打扰了!
FHFHFH