#include <stdio.h>
#include <stdlib.h>
typedef char ElementType;
typedef struct TNode *Position;
typedef Position BinTree;
struct TNode{
ElementType Data;
BinTree Left;
BinTree Right;
};
BinTree CreatBinTree(); /* 实现细节忽略 */
void InorderTraversal( BinTree BT );
void PreorderTraversal( BinTree BT );
void PostorderTraversal( BinTree BT );
void LevelorderTraversal( BinTree BT );
int main()
{
BinTree BT = CreatBinTree();
printf("Inorder:"); InorderTraversal(BT); printf("\n");
printf("Preorder:"); PreorderTraversal(BT); printf("\n");
printf("Postorder:"); PostorderTraversal(BT); printf("\n");
printf("Levelorder:"); LevelorderTraversal(BT); printf("\n");
return 0;
}
前序遍历,中序遍历和后序遍历用递归可以简单实现
层序遍历可以通过申请一个出队操作的队列实现
下面是代码
void InorderTraversal( BinTree BT )
{
if(BT){
if(BT->Left)
InorderTraversal(BT->Left);
printf(" %c",BT->Data);
if(BT->Right)
InorderTraversal(BT->Right);
}
}
void PreorderTraversal( BinTree BT )
{
if(BT){
printf(" %c",BT->Data);
if(BT->Left)
PreorderTraversal(BT->Left);
if(BT->Right)
PreorderTraversal(BT->Right);
}
}
void PostorderTraversal( BinTree BT )
{
if(BT){
if(BT->Left)
PostorderTraversal(BT->Left);
if(BT->Right)
PostorderTraversal(BT->Right);
printf(" %c",BT->Data);
}
}
void LevelorderTraversal( BinTree BT )
{
BinTree a[101];
int i,j;
a[0] = BT;
i = j = 0;
while(BT){
if(BT->Left){
a[++i] = BT->Left;
}
if(BT->Right){
a[++i] = BT->Right;
}
printf(" %c",BT->Data);
if(i == j){
break;
}
BT = a[++j];
}
}
层序遍历在队列的出栈操作上纠结了很久,想着定义一个队列来解决,但是我发现找不到结束的条件。。。没有整个树结点的个数。后来搜索才发现暴力解决,申请一个足够大不会溢出的数组就行
用两个变量i和j,分别指示队列中新元素插入的位置和新元素的父母结点
整个插入的结束条件就是当i = j时,即最后一个叶子结点