层序是采用队列的方式来遍历的
就比如说上面这颗树
他层序的就是:1 24 356
void LevelOrder(BTNode* root)
{
Que q;
QueueInit(&q);
if (root)
{
QueuePush(&q, root);
}
while (!QueueEmpty(&q))
{
BTNode* front = QueueFront(&q);
QueuePop(&q);
printf("%d ", front->val);
if (front->left)
{
QueuePush(&q, front->left);
}
if (front->right)
{
QueuePush(&q, front->right);
}
}
}
打印NULL ,这里front也会把NULL带进去
void LevelOrder(BTNode* root)
{
Que q;
QueueInit(&q);
if (root)
{
QueuePush(&q, root);
}
while (!QueueEmpty(&q))
{
BTNode* front = QueueFront(&q);
QueuePop(&q);
if (front)
{
printf("%d ", front->val);
QueuePush(&q, front->left);
QueuePush(&q, front->right);
}
else
{
printf("N ");
}
}
}
完整代码(栈和队列是复制前几篇的代码)
#pragma once
#include<stdio.h>
#include<stdlib.h>
#include<assert.h>
typedef int BinTreeType;
struct BinTreeNode
{
struct BinTreeNode* left;
struct BinTreeNode* right;
BinTreeType val;
};
typedef struct BinTreeNode BTNode;
BTNode* BuyBTNode(BinTreeType val);
BTNode* CreateTree();
void PreOrder(BTNode* root);
void InOrder(BTNode* root);
void PostOrder(BTNode* root);
int TreeSize(BTNode* root);
int MaxDepth(BTNode* root);
int TreeLevel(BTNode* root, int k);
BTNode* TreeFind(BTNode* root, int x);
int BinaryTreeLeafSize(BTNode* root);
#pragma once
#include<stdio.h>
#include<stdlib.h>
#include<assert.h>
#include<stdbool.h>
#include"BinTree.h"
typedef BTNode* QueueData;
struct QueueNode
{
QueueData val;
struct QueueNode* next;
};
typedef struct QueueNode QNode;
typedef struct Queue
{
QNode* phead;
QNode* ptail;
int size;
}Que;
void QueueInit(Que* pq);//队列初始化
void QueueDestroy(Que* pq);//队列销毁
void QueuePush(Que* pq,QueueData x);//入队列
void QueuePop(Que* pq);//出队列
QueueData QueueBack(Que* pq);
QueueData QueueFront(Que* pq);
bool QueueEmpty(Que* pq);
int QueueSize(Que* pq);
#define _CRT_SECURE_NO_WARNINGS 1
#include"BinTree.h"
BTNode* BuyBTNode(BinTreeType val)
{
BTNode* newnode = (BTNode*)malloc(sizeof(BTNode));
if (newnode == NULL)
{
perror("malloc fail!");
exit(1);
}
newnode->val = val;
newnode->left = NULL;
newnode->right = NULL;
return newnode;
}
BTNode* CreateTree()
{
BTNode* n1 = BuyBTNode(1);
BTNode* n2 = BuyBTNode(2);
BTNode* n3 = BuyBTNode(3);
BTNode* n4 = BuyBTNode(4);
BTNode* n5 = BuyBTNode(5);
BTNode* n6 = BuyBTNode(6);
n1->left = n2;
n1->right = n4;
n2->left = n3;
n2->right = NULL;
n3->left = NULL;
n3->right = NULL;
n4->left = n5;
n4->right = n6;
n5->left = NULL;
n5->right = NULL;
n6->left = NULL;
n6->right = NULL;
return n1;
}
void PreOrder(BTNode* root)
{
if (root == NULL)
{
printf("NULL ");
return ;
}
printf("%d ", root->val);
PreOrder(root->left);
PreOrder(root->right);
}
void InOrder(BTNode* root)
{
if (root == NULL)
{
printf("NULL ");
return;
}
InOrder(root->left);
printf("%d ", root->val);
InOrder(root->right);
}
void PostOrder(BTNode* root)
{
if (root == NULL)
{
printf("NULL ");
return;
}
PostOrder(root->left);
PostOrder(root->right);
printf("%d ", root->val);
}
int TreeSize(BTNode* root)
{
if (root == NULL)
{
return 0;
}
else
{
return TreeSize(root->left) + TreeSize(root->right)+1;
}
}
int MaxDepth(BTNode* root)
{
if (root == NULL)
{
return 0;
}
int leftDepth = MaxDepth(root->left);
int rightDepth = MaxDepth(root->left);
if (leftDepth > rightDepth)
{
return leftDepth + 1;
}
else
{
return rightDepth + 1;
}
}
int TreeLevel(BTNode* root, int k)
{
assert(k > 0);
if (root == NULL)
{
return 0;
}
if (k == 1)
{
return 1;
}
return TreeLevel(root->left, k - 1) + TreeLevel(root->right, k - 1);
}
BTNode* TreeFind(BTNode* root, int x)
{
if (root == NULL)
{
return NULL;
}
if (root->val == x)
{
return root;
}
BTNode* ret1 = TreeFind(root->left, x);
if (ret1)
{
return ret1;
}
return TreeFind(root->right, x);
}
int BinaryTreeLeafSize(BTNode* root)
{
if (root == NULL)
{
return 0;
}
if (BinaryTreeLeafSize(root->left) == NULL && BinaryTreeLeafSize(root->right) == NULL)
{
return 1;
}
return BinaryTreeLeafSize(root->left) + BinaryTreeLeafSize(root->right);
}
#define _CRT_SECURE_NO_WARNINGS 1
#include"queue.h"
void QueueInit(Que* pq)
{
assert(pq);
pq->phead = NULL;
pq->ptail = NULL;
pq->size = 0;
}
void QueueDestroy(Que* pq)
{
QNode* pcur = pq->phead;
while (pcur)
{
QNode* next = pcur->next;
free(pcur);
pcur = next;
}
pq->phead = pq->ptail = NULL;
pq->size = 0;
}
void QueuePush(Que* pq,QueueData x)
{
assert(pq);
QNode* newnode = (Que*)malloc(sizeof(QNode));
if (newnode == NULL)
{
perror("malloc fail");
exit(1);
}
newnode->val = x;
newnode->next = NULL;
if (pq->ptail)
{
pq->ptail->next = newnode;
pq->ptail = newnode;
}
else
{
pq->phead = pq->ptail = newnode;
}
pq->size++;
}
void QueuePop(Que* pq)
{
assert(pq->phead != NULL);
if (pq->phead->next == NULL)
{
free(pq->phead);
pq->phead =pq->ptail= NULL;
}
else
{
QNode* next = pq->phead->next;
free(pq->phead);
pq->phead = next;
}
pq->size--;
}
QueueData QueueFront(Que* pq)
{
assert(pq!=NULL);
assert(pq->phead != NULL);
return pq->phead->val;
}
QueueData QueueBack(Que* pq)
{
assert(pq!=NULL);
assert(pq->ptail != NULL);
return pq->ptail->val;
}
bool QueueEmpty(Que* pq)
{
return pq->phead == NULL;
}
int QueueSize(Que* pq)
{
assert(pq);
return pq->size;
}
#define _CRT_SECURE_NO_WARNINGS 1
#include"BinTree.h"
#include"queue.h"
void LevelOrder(BTNode* root)
{
Que q;
QueueInit(&q);
if (root)
{
QueuePush(&q, root);
}
while (!QueueEmpty(&q))
{
BTNode* front = QueueFront(&q);
QueuePop(&q);
if (front)
{
printf("%d ", front->val);
QueuePush(&q, front->left);
QueuePush(&q, front->right);
}
else
{
printf("N ");
}
}
}
int main()
{
BTNode* root= CreateTree();
//PreOrder(root);
printf("\n");
LevelOrder(root);
}