总结归纳头结点可以没有头指针必须有。访问整个链表是用过遍历头指针来进行的。这里没有特别的设置一个头指针因为当指针指向整个链表 L 时该指针的实现效果就是头指针。关于函数中引用的问题实际上对于带头结点的绝大部分操作是不需要引用的因为对于链表的任何操作传入的实际上都是头指针头结点通过头指针的遍历访问后继结点。所以无论是插入删除还是修改都不涉及头指针的改变。但如果是不带头指针的单链表操作就需要添加引用因为当插入或删除第一个位置的元素时会涉及头指针的修改此时的头指针就是链表的第一个元素。不带头结点的单链表即单链表的第一个结点就存储数据头指针也指向第一个结点带头结点的单链表第一个结点是头结点不存储数据从头结点的 next 开始存储头指针可以从头结点的 next 开始遍历。对于结点的前插操作找到对应位置的结点设新结点为该节点的后继结点将该结点的 data 后移至新结点的 data以此来模拟结点的后移并且时间复杂度为 O(1)我愿称之为“偷天换日”。如果采用尾插法创建单链表可以设置一个尾指针指向单链表末尾这样就不用每次都通过遍历找到最后一个结点但每插入一个都要更新尾指针。这样的时间复杂度为O(1)。在 DeleteNode 函数中删除指定结点存在一处 bug 当删除结点为最后一个结点时由于该结点没有后继结点该函数会报错初步认为只能通过 DeleteNextLNode函数删除p结点的后继结点来实现删除最后一个结点的操作。大多数情况下单链表的查询、插入、删除的平均时间复杂度都是O(n)因为要遍历头结点开始查找。但如果对指定结点进行插入和删除则时间复杂度为O(1)因为不需要再通过遍历找到指定的结点。要具体分析。如果不带头结点的单链表则对表头的操作插入和删除要特殊处理例如 List_HeadInsert头插法创建单链表、ListInsert按位序插入。每次插入后都要更新头指针而对于带头结点的单链表它的头指针指向永远是头结点只需要修改头结点的后继就可以完成插入。代码实现代码语言javascriptAI代码解释#include iostream #include stdio.h #include string using namespace std; // 单链表结点 struct LNode { int data; // 数据域 LNode *next; // 指针域 }; typedef LNode LNode; // LNode表示单链表的一个结点 typedef LNode *LinkList; // LinkList表示一个单链表 // 初始化单链表 void InitList(LinkList L) { L new LNode; // L (LNode *)malloc(sizeof(LNode)); L-next NULL; } // 判断单链表是否为空 bool Empty(LinkList L) { if (L-next NULL) { return true; } else { return false; } } // 获取单链表长度 int GetLength(LinkList L) { LNode *p L-next; int length 0; while (p ! NULL) { p p-next; length; } return length; } // 按位查找查找第i个结点 LNode *GetElem(LinkList L, int i) { if (i 0) { return NULL; // i值不合法 } LNode *p L; int j 0; while (p ! NULL j i) { p p-next; j; } return p; } // 按值查找查找数据域为e的结点 LNode *GetLNode(LinkList L, int e) { LNode *p L-next; while (p ! NULL p-data ! e) { p p-next; } return p; } // 头插法建立单链表 LinkList List_HeadInsert(LinkList L) { int e; cin e; while (e ! 9999) { LNode *s new LNode; s-data e; s-next L-next; L-next s; cin e; } return L; } // 尾插法建立单链表 LinkList List_TailInsert(LinkList L) { LNode *r L; // r为尾指针 int e; cin e; while (e ! 9999) { LNode *s new LNode; s-next r-next; s-data e; r-next s; r s; // 将r置为新的尾指针 cin e; } r-next NULL; // 尾指针的next置为NULL return L; } // 前插操作在p结点之前插入数据e bool InsertPriorNode(LNode *p, int e) { if (p NULL) { return false; } LNode *s new LNode; s-next p-next; s-data p-data; // 数据后移模拟结点后移 p-next s; p-data e; // 将前结点置为新插入的结点 return true; } // 后插操作在p结点之后插入数据e bool InsertNextNode(LNode *p, int e) { if (p NULL) { return false; } LNode *q new LNode; q-data e; q-next p-next; p-next q; return true; } // 按位序插入 bool InserstList(LinkList L, int i, int e) { if (i 1) { // i值不合法 return false; } LNode *p GetElem(L, i - 1); // 遍历查找i-1个结点 InsertNextNode(p, 5244); // 使用后插法 /* // 使用前插法达到同样效果 LNode *p GetElem(L, i); InsertPriorNode(p, 5244); */ return true; } // 删除p结点的后继结点 bool DeleteNextDNode(LNode *p) { if (p NULL || p-next NULL) { return false; } LNode *s new LNode; s p-next; p-next s-next; delete s; return true; } // 删除指定结点 bool DeleteNode(LNode *p) { if (p NULL) { return false; } LNode *s new LNode; s p-next; // q指向被删除结点 p-data s-data; // 数据前移模拟结点前移 p-next s-next; // 断开与被删除结点的联系 delete s; return true; } // 按位序删除 bool ListDelte(LinkList L, int i, int e) { if (i 1) { return false; } /* // 按结点删除实现同样效果 LNode *p GetElem(L, i); // 被删除结点 e p-data; DeleteNode(p); */ LNode *p GetElem(L, i - 1); e p-next-data; DeleteNextDNode(p); // 删除前一结点的后继结点 return true; } // 遍历单链表 void TraverseList(LinkList L) { if (L-next NULL) { return; } LNode *p L-next; // 指向头指针 while (p ! NULL) { cout p-data ; p p-next; } cout endl; } int main() { LinkList L; InitList(L); L List_TailInsert(L); // 尾插法 // L List_HeadInsert(L); // 头插法 TraverseList(L); InserstList(L, 1, 5244); TraverseList(L); int e -1; ListDelte(L, 3, e); cout 被删除的值 e endl; TraverseList(L); cout 长度 GetLength(L) endl; return 0; 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C++ 单链表（带头结点）
总结归纳头结点可以没有头指针必须有。访问整个链表是用过遍历头指针来进行的。这里没有特别的设置一个头指针因为当指针指向整个链表 L 时该指针的实现效果就是头指针。关于函数中引用的问题实际上对于带头结点的绝大部分操作是不需要引用的因为对于链表的任何操作传入的实际上都是头指针头结点通过头指针的遍历访问后继结点。所以无论是插入删除还是修改都不涉及头指针的改变。但如果是不带头指针的单链表操作就需要添加引用因为当插入或删除第一个位置的元素时会涉及头指针的修改此时的头指针就是链表的第一个元素。不带头结点的单链表即单链表的第一个结点就存储数据头指针也指向第一个结点带头结点的单链表第一个结点是头结点不存储数据从头结点的 next 开始存储头指针可以从头结点的 next 开始遍历。对于结点的前插操作找到对应位置的结点设新结点为该节点的后继结点将该结点的 data 后移至新结点的 data以此来模拟结点的后移并且时间复杂度为 O(1)我愿称之为“偷天换日”。如果采用尾插法创建单链表可以设置一个尾指针指向单链表末尾这样就不用每次都通过遍历找到最后一个结点但每插入一个都要更新尾指针。这样的时间复杂度为O(1)。在 DeleteNode 函数中删除指定结点存在一处 bug 当删除结点为最后一个结点时由于该结点没有后继结点该函数会报错初步认为只能通过 DeleteNextLNode函数删除p结点的后继结点来实现删除最后一个结点的操作。大多数情况下单链表的查询、插入、删除的平均时间复杂度都是O(n)因为要遍历头结点开始查找。但如果对指定结点进行插入和删除则时间复杂度为O(1)因为不需要再通过遍历找到指定的结点。要具体分析。如果不带头结点的单链表则对表头的操作插入和删除要特殊处理例如 List_HeadInsert头插法创建单链表、ListInsert按位序插入。每次插入后都要更新头指针而对于带头结点的单链表它的头指针指向永远是头结点只需要修改头结点的后继就可以完成插入。代码实现代码语言javascriptAI代码解释#include iostream #include stdio.h #include string using namespace std; // 单链表结点 struct LNode { int data; // 数据域 LNode *next; // 指针域 }; typedef LNode LNode; // LNode表示单链表的一个结点 typedef LNode *LinkList; // LinkList表示一个单链表 // 初始化单链表 void InitList(LinkList L) { L new LNode; // L (LNode *)malloc(sizeof(LNode)); L-next NULL; } // 判断单链表是否为空 bool Empty(LinkList L) { if (L-next NULL) { return true; } else { return false; } } // 获取单链表长度 int GetLength(LinkList L) { LNode *p L-next; int length 0; while (p ! NULL) { p p-next; length; } return length; } // 按位查找查找第i个结点 LNode *GetElem(LinkList L, int i) { if (i 0) { return NULL; // i值不合法 } LNode *p L; int j 0; while (p ! NULL j i) { p p-next; j; } return p; } // 按值查找查找数据域为e的结点 LNode *GetLNode(LinkList L, int e) { LNode *p L-next; while (p ! NULL p-data ! e) { p p-next; } return p; } // 头插法建立单链表 LinkList List_HeadInsert(LinkList L) { int e; cin e; while (e ! 9999) { LNode *s new LNode; s-data e; s-next L-next; L-next s; cin e; } return L; } // 尾插法建立单链表 LinkList List_TailInsert(LinkList L) { LNode *r L; // r为尾指针 int e; cin e; while (e ! 9999) { LNode *s new LNode; s-next r-next; s-data e; r-next s; r s; // 将r置为新的尾指针 cin e; } r-next NULL; // 尾指针的next置为NULL return L; } // 前插操作在p结点之前插入数据e bool InsertPriorNode(LNode *p, int e) { if (p NULL) { return false; } LNode *s new LNode; s-next p-next; s-data p-data; // 数据后移模拟结点后移 p-next s; p-data e; // 将前结点置为新插入的结点 return true; } // 后插操作在p结点之后插入数据e bool InsertNextNode(LNode *p, int e) { if (p NULL) { return false; } LNode *q new LNode; q-data e; q-next p-next; p-next q; return true; } // 按位序插入 bool InserstList(LinkList L, int i, int e) { if (i 1) { // i值不合法 return false; } LNode *p GetElem(L, i - 1); // 遍历查找i-1个结点 InsertNextNode(p, 5244); // 使用后插法 /* // 使用前插法达到同样效果 LNode *p GetElem(L, i); InsertPriorNode(p, 5244); */ return true; } // 删除p结点的后继结点 bool DeleteNextDNode(LNode *p) { if (p NULL || p-next NULL) { return false; } LNode *s new LNode; s p-next; p-next s-next; delete s; return true; } // 删除指定结点 bool DeleteNode(LNode *p) { if (p NULL) { return false; } LNode *s new LNode; s p-next; // q指向被删除结点 p-data s-data; // 数据前移模拟结点前移 p-next s-next; // 断开与被删除结点的联系 delete s; return true; } // 按位序删除 bool ListDelte(LinkList L, int i, int e) { if (i 1) { return false; } /* // 按结点删除实现同样效果 LNode *p GetElem(L, i); // 被删除结点 e p-data; DeleteNode(p); */ LNode *p GetElem(L, i - 1); e p-next-data; DeleteNextDNode(p); // 删除前一结点的后继结点 return true; } // 遍历单链表 void TraverseList(LinkList L) { if (L-next NULL) { return; } LNode *p L-next; // 指向头指针 while (p ! NULL) { cout p-data ; p p-next; } cout endl; } int main() { LinkList L; InitList(L); L List_TailInsert(L); // 尾插法 // L List_HeadInsert(L); // 头插法 TraverseList(L); InserstList(L, 1, 5244); TraverseList(L); int e -1; ListDelte(L, 3, e); cout 被删除的值 e endl; TraverseList(L); cout 长度 GetLength(L) endl; return 0; 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