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Tree/6-后缀数/后缀树.md diff --git a/Tree/7-B数/B树.md b/4 Tree/7-B数/B树.md similarity index 100% rename from Tree/7-B数/B树.md rename to 4 Tree/7-B数/B树.md diff --git a/Tree/8-二叉堆(优先队列)/heap.c b/4 Tree/8-二叉堆(优先队列)/heap.c similarity index 100% rename from Tree/8-二叉堆(优先队列)/heap.c rename to 4 Tree/8-二叉堆(优先队列)/heap.c diff --git a/Tree/README.md b/4 Tree/README.md similarity index 100% rename from Tree/README.md rename to 4 Tree/README.md diff --git a/Tree/huffman tree/赫夫曼编码.md b/4 Tree/huffman tree/赫夫曼编码.md similarity index 100% rename from Tree/huffman tree/赫夫曼编码.md rename to 4 Tree/huffman tree/赫夫曼编码.md diff --git a/4 Tree/二叉查找树.md b/4 Tree/二叉查找树.md new file mode 100644 index 0000000..6e23115 --- /dev/null +++ b/4 Tree/二叉查找树.md @@ -0,0 +1,109 @@ + +## 二叉查找树 + +二叉查找树（Binary search tree），也叫`有序二叉树(Ordered binary tree)`,`排序二叉树(Sorted binary tree)`。是指一个空树或者具有下列性质的二叉树： + + 1. 若任意节点的左子树不为空，则左子树上所有的节点值小于它的根节点值 + 2. 若任意节点的右子树不为空，则右子树上所有节点的值均大于它的根节点的值 + 3. 任意节点左右子树也为二叉查找树 + 4. 没有键值相等的节点 + + ``` + typedef int ElemType; + typedef struct BiSearchTree{ + ElemType key; + struct BiSearchTree *lChild; + struct BiSearchTree *rChild; + }BiSearchTree; + BiSearchTree *bisearch_tree_insert(BiSearchTree *tree,ElemType node); + int bisearch_tree_delete(BiSearchTree **tree,ElemType node); + int bisearch_tree_search(BiSearchTree *tree,ElemType node); + ``` + + +删除节点,需要重建排序树 + + 1) 删除节点是叶子节点（分支为0），结构不破坏 + 2）删除节点只有一个分支(分支为1)，结构也不破坏 + 3）删除节点有2个分支，此时删除节点 + +思路一： 选左子树的最大节点，或右子树最小节点替换 + +``` +int bisearch_tree_delete(BiSearchTree **tree,ElemType node){ + + if (NULL==tree) { + return -1; + } + // 查找删除目标节点 + BiSearchTree *target=*tree,*parent=NULL; + while (NULL!=target) { + if (nodekey) { + parent=target; + target=target->lChild; + }else if(node==target->key){ + break; + }else{ + parent=target; + target=target->rChild; + } + } + + if (NULL==target) { + printf("树为空，或想要删除的节点不存在\n"); + return -1; + } + //该节点为叶子节点，直接删除 + if (!target->rChild && !target->lChild) + { + if (NULL==parent) {////只有一个节点的二叉查找树 + *tree=NULL; + }else{ + if (target->key>parent->key) { + parent->rChild=NULL; + }else{ + parent->lChild=NULL; + } + + } + free(target);//父节点处理，不然野指针,造成崩溃 + } + + else if(!target->rChild){ //右子树空则只需重接它的左子树,用左子树替换掉当前要删除的节点 + BiSearchTree *del=target->lChild; + target->key = target->lChild->key; + target->lChild=target->lChild->lChild; + target->rChild=target->lChild->rChild; + + free(del); + } + else if(!target->lChild){ //左子树空只需重接它的右子树 + BiSearchTree *del=target->rChild; + target->key = target->rChild->key; + target->lChild=target->rChild->lChild; + target->rChild=target->rChild->rChild; + + free(del); + } + else{ //左右子树均不空，p，t 2个指针一前以后，将左子树最大的节点(肯定是一个最右的节点)替换到删除的节点后，还需要处理左子树最大节点的左子树 + + BiSearchTree *p=target,*t=target->lChild; + while (t->rChild) { + p = t; + t=t->rChild; + }// 找到左子树最大的，是删除节点的直接“前驱” + + target->key = t->key; + + if (p!=target) { + p->rChild = t->lChild; + }else{ + target->lChild = t->lChild; + } + + free(t); + } + return 0; + } +``` + diff --git a/Graph/README.md b/5 Graph/README.md similarity index 83% rename from Graph/README.md rename to 5 Graph/README.md index fe4b73f..cbc6d6f 100644 --- a/Graph/README.md +++ b/5 Graph/README.md @@ -23,5 +23,8 @@ A* 用于游戏编程和分布式计算 +## +* 二部图 +* 有向无环图 DAG diff --git a/Sort/8.c b/6 Sort/8.c similarity index 100% rename from Sort/8.c rename to 6 Sort/8.c diff --git a/Sort/README.md b/6 Sort/README.md similarity index 100% rename from Sort/README.md rename to 6 Sort/README.md diff --git a/Sort/bubblesort.gif b/6 Sort/bubblesort.gif similarity index 100% rename from Sort/bubblesort.gif rename to 6 Sort/bubblesort.gif diff --git a/Sort/heapsort.gif b/6 Sort/heapsort.gif similarity index 100% rename from Sort/heapsort.gif rename to 6 Sort/heapsort.gif diff --git a/Sort/insert_sort.c b/6 Sort/insert_sort.c similarity index 100% rename from Sort/insert_sort.c rename to 6 Sort/insert_sort.c diff --git a/Sort/mergesort.gif b/6 Sort/mergesort.gif similarity index 100% rename from Sort/mergesort.gif rename to 6 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