04-树5 Complete Binary Search Tree
这题也是第二次做,本想第一次做时参考的算法会和老师讲的一样,不想老师讲的算法用在这题感觉还不如思雪园友的算法(http://www.cnblogs.com/sixue/archive/2015/04.html)来的简单,不过老师给的思路是一种挺通用的思路,可以用来解决一系列的问题,但我目前看着有点吃力。我坚持认为对全局变量的使用需十分谨慎,能不用就不用,所以为了不出现全局变量,就无辜多了一串参数。实现代码如下,题目在代码下方
#include <stdio.h>
#include <stdlib.h> int compare(const void * a, const void * b);
void inOrder(int * a, int n, int * in, int N); int main()
{
// freopen("in.txt", "r", stdin); // for test
int i, N, n;
scanf("%d", &N);
int a[N];
for(i = ; i < N; i++)
{
scanf("%d", &n);
a[i] = n;
} qsort(a, N, sizeof(int), compare);
int in[N + ];
inOrder(a, , in, N);
for(i = ; i <= N; i++)
{
printf("%d", in[i]);
if(i < N)
printf(" ");
else
printf("\n");
}
// fclose(stdin); // for test
return ;
} int compare(const void * a, const void * b)
{
return *(int *)a - *(int *)b;
} void inOrder(int * a, int n, int * in, int N)
{
static int i = ; if(n * <= N)
inOrder(a, * n, in, N);
in[n] = a[i++];
if(n * + <= N)
inOrder(a, n * + , in, N);
}
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
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