括号表示法字符串构造二叉树
原理如上图,下面的是简述:
当遇到字母的时候,直接入栈,而遇到“)”的时候出栈,其他的字符时做左右子树的标记,代码实现过程如下:
#include<iostream>
using namespace std;
#define MaxSize 100
struct BTnode { //节点的数据类型
char data;
BTnode *lnode, *rnode;
};
void Create(BTnode* &root, char *str) { //创建二叉树
BTnode *St[MaxSize], *p = root = NULL;
int k = 0, j = 0, top = -1;
char ch = str[j];
while (ch != '\0') {
switch (ch)
{
case '(': St[++top] = p; k = 1; break;
case ')': top--; break;
case ',': k = 2; break;
default:
p = new BTnode;
p->data = ch;
p->lnode = p->rnode = NULL;
if (root == NULL) root = p;
else k == 1 ? St[top]->lnode = p : St[top]->rnode = p;
}
ch = str[++j];
}
}
BTnode* Findnode(BTnode *root, char ch) { //查找某个节点
if (root == NULL) return NULL;
if (root->data == ch) return root;
BTnode *p = Findnode(root->lnode, ch);
return p != NULL ? p : Findnode(root->rnode, ch);
}
void Display(BTnode *root) { //输出整棵二叉树
if (root != NULL) printf("%c", root->data);
if (root->lnode != NULL || root->rnode != NULL) {
printf("(");
if (root->lnode != NULL) Display(root->lnode);
if (root->rnode != NULL) {
printf(",");
Display(root->rnode);
}
printf(")");
}
}
int main() {
BTnode *root = NULL;
char* str = "A(B(D(,G)),C(E,F))";
Create(root, str);
Display(root);
printf("\n");
return 0;
}