PTA_2019春_023_Reversing Linked List

本文介绍了一种链表操作算法,即给定一个链表和一个常数K,将链表上的每K个元素进行反转。通过将链表分割成小链表,分别反转并重新连接,实现了链表的K个一反转。特别讨论了K为1和K等于链表长度的情况。

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Given a constant K and a singly linked list L, you are supposed to reverse the links of every K elements on L. For example, given L being 1→2→3→4→5→6, if K=3, then you must output 3→2→1→6→5→4; if K=4, you must output 4→3→2→1→5→6.

Input Specification:

Each input file contains one test case. For each case, the first line contains the address of the first node, a positive N (≤10​5​​) which is the total number of nodes, and a positive K (≤N) which is the length of the sublist to be reversed. The address of a node is a 5-digit nonnegative integer, and NULL is represented by -1.

Then N lines follow, each describes a node in the format:

Address Data Next

where Address is the position of the node, Data is an integer, and Next is the position of the next node.

Output Specification:

For each case, output the resulting ordered linked list. Each node occupies a line, and is printed in the same format as in the input.

Sample Input:

00100 6 4
00000 4 99999
00100 1 12309
68237 6 -1
33218 3 00000
99999 5 68237
12309 2 33218

Sample Output:

00000 4 33218
33218 3 12309
12309 2 00100
00100 1 99999
99999 5 68237
68237 6 -1

 简述:将给定链表按所给K值,每K个反转,最后不满足K个的不反转。

思路:1)将链表按每K个分割成小链表;

           2)每个小链表反转;

           3)将小链表连接起来,并将剩余的接上。

特别考虑:当K=1时,链表不变。K=N时,整体反转。

                  输入的节点中可能有部分不在链表上。

反思:将小链表连接起来时存在逻辑错误,导致链表并没有连起来。

                

/*此题本不难
  奈何愁三载 
  缘由我很菜
  前进向前看*/
#include<stdio.h>
#define MAXSIZE 100001
struct LNode {
	int Data;
	int Next;
};
int Reverse(struct LNode* Array, int K ,int Firstaddress ,int Number);
void PRT(struct LNode* Array, int Firstaddress);
int TrueNumber(struct LNode* Array, int Firstaddress);
int main() {
	/*将输入存入结构体数组中*/
	int Firstaddress, Number, K;
	int Address, Data, Next;
	scanf("%d %d %d", &Firstaddress, &Number, &K);
	struct LNode Array[MAXSIZE];
	for (int i = 0; i < Number; i++) {
		scanf("%d %d %d", &Address, &Data, &Next);
		Array[Address].Data = Data;
		Array[Address].Next = Next;
	}
	Number =  TrueNumber(Array,Firstaddress);/*除去多余的节点,返回链表真正的个数*/
	if(K<=Number&&K>1){
		Firstaddress = Reverse(Array, K, Firstaddress, Number);
	}
	PRT(Array, Firstaddress);
	return 0;
}
int Reverse(struct LNode* Array, int K,int Firstaddress ,int Number) {
	int Old_head, New_head, Temp;/*反转时需要*/ 
	int last_first;/*记录上一个循环最后一个点*/
	int last_first_label;/*第一次循环不需要*/ 
	Old_head = Firstaddress;
	New_head = -1;
	last_first_label = -1;
	for (int i = 0; i < Number / K; i++) {
		int j = 0;
		New_head = -1;
		/*以下实现反转*/
		while (j < K&&Old_head!=-1) {
			if (j == 0) last_first = Old_head;/*标记这个循环下的最后一个节点*/
			Temp = Array[Old_head].Next;
			Array[Old_head].Next = New_head;
			New_head = Old_head;
			Old_head = Temp;
			j++;
		}
		if (i == 0) Firstaddress = New_head;/*首地址*/
		if (last_first_label != -1) {
			Array[last_first_label].Next = New_head;
		}
		last_first_label=last_first;
	}/*结束时Old_head指向下一个节点*/
	if (Old_head == -1) return Firstaddress;/*此时节点个数正好被K整除*/
	else {/*将剩下节点直接接在顺序之后*/
		Array[last_first].Next = Old_head;
		return Firstaddress;
	}
}
void PRT(struct LNode* Array, int Firstaddress) {
	int address;
	address = Firstaddress;
	while (Array[address].Next!=-1) {
		printf("%05d %d %05d\n",address,Array[address].Data,Array[address].Next);
		address = Array[address].Next;
	}
	printf("%05d %d %d", address, Array[address].Data, Array[address].Next);
}
int TrueNumber(struct LNode* Array, int Firstaddress){
	int cnt = 0;
	int address;
	address = Firstaddress;
	while(address!=-1){
		address=Array[address].Next;
		cnt++;
	}
	return cnt;
}

 

### PTA 7-2 重排链表解法 对于PTA平台上的7-2重排链表题目,可以采用类似于LeetCode第143题的方法来解决这个问题。具体来说,在处理单链表 \(L\) 的时候,目标是将其重新排列成特定模式:\(L_0 \rightarrow L_n \rightarrow L_1 \rightarrow L_{n-1} \rightarrow L_2 \rightarrow L_{n-2}\ldots\)[^3]。 为了实现这一目标,通常会采取以下策略: #### 方法概述 1. **找到中间节点** 首先利用快慢指针技术定位到链表的中间位置。这一步骤有助于后续操作中的效率提升。 2. **反转后半部分链表** 找到中间节点之后,将链表从中点断开并单独对后面的部分执行翻转操作。这样做可以让后面的元素按照相反顺序连接起来。 3. **交替合并两段链表** 接下来就是把前一半未改变顺序的链表同已经反转过的另一半依次交错相连,从而形成最终所需的输出形式。 下面是具体的Python代码实现方式: ```python class ListNode: def __init__(self, val=0, next=None): self.val = val self.next = next def reorderList(head: ListNode) -> None: if not head or not head.next: return # Step 1: Find the middle of the list using slow and fast pointers. slow, fast = head, head while fast and fast.next: slow = slow.next fast = fast.next.next # Step 2: Reverse the second half of the linked list starting from 'slow'. prev, curr = None, slow while curr: temp_next = curr.next curr.next = prev prev = curr curr = temp_next # Now `prev` points to the last element (new start point after reversing). # Step 3: Merge two halves by alternating nodes between them. first_half, second_half = head, prev while second_half.next: tmp_first = first_half.next tmp_second = second_half.next first_half.next = second_half second_half.next = tmp_first first_half = tmp_first second_half = tmp_second ``` 此算法的时间复杂度主要取决于遍历次数以及每次遍历时的操作量级,整体时间复杂度大约为O(n),其中n代表链表长度;空间复杂度则保持在常数级别O(1),因为只用了有限数量额外变量存储临时状态信息。
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