二叉排序树,是一种规整的二叉树。每个节点的左子树都小于他,每个节点的右子树都大于他。
二叉树的遍历:
void InOrderTree(BTree *b){ if( !b ) return; InOrderTree(b->lchild); printf("%d ",b->data); InOrderTree(b->rchild);}
二叉树的查找:
int searchTree(BTree *b,int key,BTree *f,BTree *&p){ if(!b){ p = f; return 0; } else if( key == b->data){ p = b; return 1; } else if(key > b->data) return searchTree(b->rchild,key,b,p); else return searchTree(b->lchild,key,b,p);}
二叉树的插入:
bool insertTree(BTree *b,int key){ BTree *p,*s; if(!searchTree(b,key,NULL,p)){ s = (BTree *)malloc(sizeof(BTree)); s->data = key; s->lchild = s->rchild = NULL; if(!b){ b = s; } else if(key < p->data){ p->lchild = s; }else{ p->rchild = s; } return true; }else return false;}
全部代码:
1 #include2 #include 3 typedef struct bTree{ 4 int data; 5 struct bTree *lchild,*rchild; 6 }BTree; 7 8 void initialTree(BTree *b); 9 bool insertTree(BTree *b,int key);10 int searchTree(BTree *b,int key,BTree *f,BTree *&p);11 void InOrderTree(BTree *b);12 13 int main(){14 BTree *b = (BTree *)malloc(sizeof(BTree));15 b->data = 5;16 b->lchild = b->rchild = NULL;17 initialTree(b);18 InOrderTree(b);19 getchar();20 return 0;21 }22 23 void InOrderTree(BTree *b){24 if( !b )25 return;26 InOrderTree(b->lchild);27 printf("%d ",b->data);28 InOrderTree(b->rchild);29 }30 31 void initialTree(BTree *b){32 insertTree(b,5);33 insertTree(b,3);34 insertTree(b,6);35 insertTree(b,2);36 insertTree(b,1);37 insertTree(b,8);38 }39 int searchTree(BTree *b,int key,BTree *f,BTree *&p){40 if(!b){41 p = f;42 printf("++%d\n",p->data);43 return 0;44 }45 else if( key == b->data){46 p = b;47 printf("--%d \n",p->data);48 printf("找到元素key:%d\n",key);49 return 1;50 }51 else if(key > b->data)52 return searchTree(b->rchild,key,b,p);53 else54 return searchTree(b->lchild,key,b,p);55 }56 bool insertTree(BTree *b,int key){57 BTree *p,*s;58 if(!searchTree(b,key,NULL,p)){59 printf("%d 没有出现在树中,可以插入在%d之后\n",key,p->data);60 s = (BTree *)malloc(sizeof(BTree));61 s->data = key;62 s->lchild = s->rchild = NULL;63 if(!b){64 b = s;65 }66 else if(key < p->data){67 p->lchild = s;68 }else{ 69 p->rchild = s;70 }71 return true;72 }else73 return false;74 }
运行示例: