04-树6 Complete Binary Search Tree (30分)
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A Binary Search Tree (BST) is recursively defined as a binary tree which has the following properties:
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:
101 2 3 4 5 6 7 8 9 0
Sample Output:
6 3 8 1 5 7 9 0 2 4
参照别人代码,很妙
#include <stdio.h> #include <stdlib.h> int b[1005]; int j=0; int compare(const void * a, const void * b); void mid_tre(int root,int N,int a[]); int main(){ int N; int i=0; scanf("%d",&N); int a[N]; for(i=0;i<N;i++){ scanf("%d",&a[i]); } qsort(a,N,sizeof(int),compare); mid_tre(1,N,a); printf("%d",b[1]); for(i=2;i<=N;i++){ printf(" %d",b[i]); } } int compare(const void * a, const void * b) { return *(int *)a - *(int *)b; } void mid_tre(int root,int N,int a[]){ if(root<=N){ mid_tre(2*root,N,a); b[root]=a[j++]; mid_tre(2*root+1,N,a); } }
- 04-树6 Complete Binary Search Tree (30分)
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