【C++】【十】二叉树
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【C++】【十】二叉树
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樹的基本概念:
樹具有遞歸性,非線性
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完全二叉樹 ?:所有節點都在
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舉例:
遞歸遍歷二叉樹:
#include <stdlib.h>
#include <stdio.h>
#include <iostream>
#include<string.h>typedef struct BinaryNode {char ch;struct BinaryNode* lchild;struct BinaryNode* rchild;
}binarynode;//遞歸遍歷
void Recursion(binarynode* root) {if (root == NULL) {return;}//遍歷左子樹Recursion(root->lchild);//遍歷右子樹Recursion(root->rchild);//先訪問根節點printf("%c", root->ch);
}void CreatBinaryTree() {binarynode node1 = { 'A',NULL,NULL };binarynode node2 = { 'B',NULL,NULL };binarynode node3 = { 'C',NULL,NULL };binarynode node4 = { 'D',NULL,NULL };binarynode node5 = { 'E',NULL,NULL };binarynode node6 = { 'F',NULL,NULL };binarynode node7 = { 'G',NULL,NULL };binarynode node8 = { 'H',NULL,NULL };// binarynode node9 = { 'I',NULL,NULL };//建立節點關系node1.lchild = &node2;node1.rchild = &node6;node2.rchild = &node3;node3.lchild = &node4;node3.rchild = &node5;node6.rchild = &node7;node7.lchild = &node8;//先序遍歷Recursion(&node1);
}int main()
{ CreatBinaryTree();printf("\n");system("pause");return 0
}
求葉子節點數:(葉子節點概念,無左孩子和右孩子)
// 求葉子節點數目
#include <stdlib.h>
#include <stdio.h>
#include <iostream>
#include<string.h>typedef struct BinaryNode {char ch;struct BinaryNode* lchild;struct BinaryNode* rchild;
}binarynode;void Recursion(binarynode* root) {if (root == NULL) {return;}printf("%c", root->ch);Recursion(root->lchild);Recursion(root->rchild);
}
binarynode* CopyBonaryTree(binarynode* root) {if (root == NULL) {return NULL;}binarynode* lchild = CopyBonaryTree(root->lchild);binarynode* rchild = CopyBonaryTree(root->rchild);binarynode* newnode = (binarynode*)malloc(sizeof(binarynode));newnode->ch = root->ch;newnode->lchild = lchild;newnode->rchild = rchild;return newnode;
}void Free_binaryTree(binarynode* root) {if (root != NULL) {return;}Free_binaryTree(root->lchild);Free_binaryTree(root->rchild);Free_binaryTree(root);
}void CreatBinaryTree() {binarynode node1 = { 'A',NULL,NULL };binarynode node2 = { 'B',NULL,NULL };binarynode node3 = { 'C',NULL,NULL };binarynode node4 = { 'D',NULL,NULL };binarynode node5 = { 'E',NULL,NULL };binarynode node6 = { 'F',NULL,NULL };binarynode node7 = { 'G',NULL,NULL };binarynode node8 = { 'H',NULL,NULL };// binarynode node9 = { 'I',NULL,NULL };//建立節點關系node1.lchild = &node2;node1.rchild = &node6;node2.rchild = &node3;node3.lchild = &node4;node3.rchild = &node5;node6.rchild = &node7;node7.lchild = &node8;binarynode* root = CopyBonaryTree(&node1);Recursion(root);Free_binaryTree(root);
}int main()
{CreatBinaryTree();printf("\n");system("pause");return 0;}
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