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リンクリストの中央を削除します

単独でリンクされたリストを考えると、タスクはリストの中央ノードを削除することです。

Pythonでタプルを並べ替える
  • リストに偶数のノードが含まれている場合、2つの中央ノードがあります。この場合、2番目の中央ノードを削除します。
  • リンクされたリストが1つのノードのみで構成されている場合、NULLを返します。

例:



入力: LinkedList:1-> 2-> 3-> 4-> 5
出力: 1-> 2-> 4-> 5
説明:

リンクリストの中央を削除します

入力: LinkedList:2-> 4-> 6-> 7-> 5-> 1
出力: 2-> 4-> 6-> 5-> 1
説明:

リンクリストの中央を削除します

入力: LinkedList:7
出力:



コンテンツの表

[ナイーブアプローチ] 2パストラバーサルの使用-O(n)時間とO(1)スペース

このアプローチの背後にある基本的なアイデアは、最初にリンクリスト全体を通過して、ノードの総数をカウントすることです。ノードの総数がわかったら、インデックスにある中間ノードの位置を計算できます n/2 (ここで、nはノードの総数です)。その後、リンクされたリストをもう一度通過しますが、今回は中央のノードの直前に停止します。そこに着いたら、中央のノードの前にノードの次のポインターを変更して、中央のノードをスキップしてノードを直接指しています。

以下は、上記のアプローチの実装です。



C++
// C++ program to delete middle of a linked list #include    using namespace std; struct Node {  int data;  Node* next;  Node(int x){  data = x;  next = nullptr;  } }; // Function to delete middle node from linked list. Node* deleteMid(Node* head) {  // Edge case: return nullptr if there is only  // one node.  if (head->next == nullptr)  return nullptr;  int count = 0;  Node *p1 = head *p2 = head;  // First pass count the number of nodes  // in the linked list using 'p1'.  while (p1 != nullptr) {  count++;  p1 = p1->next;  }  // Get the index of the node to be deleted.  int middleIndex = count / 2;  // Second pass let 'p2' move toward the predecessor  // of the middle node.  for (int i = 0; i < middleIndex - 1; ++i)  p2 = p2->next;  // Delete the middle node and return 'head'.  p2->next = p2->next->next;  return head; } void printList(Node* head) {  Node* temp = head;  while (temp != nullptr) {  cout << temp->data << ' -> ';  temp = temp->next;  }  cout << 'nullptr' << endl; } int main() {  // Create a static hardcoded linked list:  // 1 -> 2 -> 3 -> 4 -> 5.  Node* head = new Node(1);  head->next = new Node(2);  head->next->next = new Node(3);  head->next->next->next = new Node(4);  head->next->next->next->next = new Node(5);  cout << 'Original Linked List: ';  printList(head);  // Delete the middle node.  head = deleteMid(head);  cout << 'Linked List after deleting the middle node: ';  printList(head);  return 0; } 
C
// C program to delete middle of a linked list #include  #include  struct Node {  int data;  struct Node* next; }; // Function to delete middle node from linked list. struct Node* deleteMid(struct Node* head) {  // Edge case: return NULL if there is only  // one node.  if (head->next == NULL)  return NULL;  int count = 0;  struct Node *p1 = head *p2 = head;  // First pass count the number of nodes  // in the linked list using 'p1'.  while (p1 != NULL) {  count++;  p1 = p1->next;  }  // Get the index of the node to be deleted.  int middleIndex = count / 2;  // Second pass let 'p2' move toward the predecessor  // of the middle node.  for (int i = 0; i < middleIndex - 1; ++i)  p2 = p2->next;  // Delete the middle node and return 'head'.  p2->next = p2->next->next;  return head; } void printList(struct Node* head) {  struct Node* temp = head;  while (temp != NULL) {  printf('%d -> ' temp->data);  temp = temp->next;  }  printf('NULLn'); } struct Node* newNode(int x) {  struct Node* temp =   (struct Node*)malloc(sizeof(struct Node));  temp->data = x;  temp->next = NULL;  return temp; } int main() {  // Create a static hardcoded linked list:  // 1 -> 2 -> 3 -> 4 -> 5.  struct Node* head = newNode(1);  head->next = newNode(2);  head->next->next = newNode(3);  head->next->next->next = newNode(4);  head->next->next->next->next = newNode(5);  printf('Original Linked List: ');  printList(head);  // Delete the middle node.  head = deleteMid(head);  printf('Linked List after deleting the middle node: ');  printList(head);  return 0; } 
Java
// Java program to delete middle of a linked list class Node {  int data;  Node next;  Node(int x) {  data = x;  next = null;  } } public class GfG {  // Function to delete middle node from linked list.  public static Node deleteMid(Node head) {  // Edge case: return null if there is only  // one node.  if (head.next == null)  return null;  int count = 0;  Node p1 = head p2 = head;  // First pass count the number of nodes  // in the linked list using 'p1'.  while (p1 != null) {  count++;  p1 = p1.next;  }  // Get the index of the node to be deleted.  int middleIndex = count / 2;  // Second pass let 'p2' move toward predecessor  // of the middle node.  for (int i = 0; i < middleIndex - 1; ++i)  p2 = p2.next;  // Delete the middle node and return 'head'.  p2.next = p2.next.next;  return head;  }  public static void printList(Node head) {  Node temp = head;  while (temp != null) {  System.out.print(temp.data + ' -> ');  temp = temp.next;  }  System.out.println('null');  }  public static void main(String[] args) {  // Create a static hardcoded linked list:  // 1 -> 2 -> 3 -> 4 -> 5.  Node head = new Node(1);  head.next = new Node(2);  head.next.next = new Node(3);  head.next.next.next = new Node(4);  head.next.next.next.next = new Node(5);  System.out.print('Original Linked List: ');  printList(head);  // Delete the middle node.  head = deleteMid(head);  System.out.print  ('Linked List after deleting the middle node: ');  printList(head);  } } 
Python
# Python3 program to delete middle of a linked list class Node: def __init__(self data): self.data = data self.next = None # Function to delete middle node from linked list. def deleteMid(head): # Edge case: return None if there is only # one node. if head.next is None: return None count = 0 p1 = head p2 = head # First pass count the number of nodes # in the linked list using 'p1'. while p1 is not None: count += 1 p1 = p1.next # Get the index of the node to be deleted. middleIndex = count // 2 # Second pass let 'p2' move toward the predecessor # of the middle node. for i in range(middleIndex - 1): p2 = p2.next # Delete the middle node and return 'head'. p2.next = p2.next.next return head def printList(head): temp = head while temp is not None: print(temp.data end=' -> ') temp = temp.next print('None') if __name__ == '__main__': # Create a static hardcoded linked list: # 1 -> 2 -> 3 -> 4 -> 5. head = Node(1) head.next = Node(2) head.next.next = Node(3) head.next.next.next = Node(4) head.next.next.next.next = Node(5) print('Original Linked List:' end=' ') printList(head) # Delete the middle node. head = deleteMid(head) print('Linked List after deleting the middle node:' end=' ') printList(head) 
C#
// C# program to delete middle of a linked list using System; class Node {  public int data;  public Node next;  public Node(int x) {  data = x;  next = null;  } } class GfG {  // Function to delete middle node from linked list.  static Node deleteMid(Node head) {  // Edge case: return null if there is only  // one node.  if (head.next == null)  return null;  int count = 0;  Node p1 = head p2 = head;  // First pass count the number of nodes  // in the linked list using 'p1'.  while (p1 != null) {  count++;  p1 = p1.next;  }  // Get the index of the node to be deleted.  int middleIndex = count / 2;  // Second pass let 'p2' move toward the predecessor  // of the middle node.  for (int i = 0; i < middleIndex - 1; ++i)  p2 = p2.next;  // Delete the middle node and return 'head'.  p2.next = p2.next.next;  return head;  }  static void printList(Node head) {  Node temp = head;  while (temp != null) {  Console.Write(temp.data + ' -> ');  temp = temp.next;  }  Console.WriteLine('null');  }  static void Main(string[] args) {  // Create a static hardcoded linked list:  // 1 -> 2 -> 3 -> 4 -> 5.  Node head = new Node(1);  head.next = new Node(2);  head.next.next = new Node(3);  head.next.next.next = new Node(4);  head.next.next.next.next = new Node(5);  Console.Write('Original Linked List: ');  printList(head);  // Delete the middle node.  head = deleteMid(head);  Console.Write  ('Linked List after deleting the middle node: ');  printList(head);  } } 
JavaScript
class Node {  constructor(data) {  this.data = data;  this.next = null;  } } // Function to delete middle node from linked list. function deleteMid(head) {  // Edge case: return null if there is only  // one node.  if (head.next === null)  return null;  let count = 0;  let p1 = head p2 = head;  // First pass count the number of nodes  // in the linked list using 'p1'.  while (p1 !== null) {  count++;  p1 = p1.next;  }  // Get the index of the node to be deleted.  let middleIndex = Math.floor(count / 2);  // Second pass let 'p2' move toward the predecessor  // of the middle node.  for (let i = 0; i < middleIndex - 1; ++i)  p2 = p2.next;  // Delete the middle node and return 'head'.  p2.next = p2.next.next;  return head; } function printList(head) {  let temp = head;  while (temp !== null) {  console.log(temp.data + ' -> ');  temp = temp.next;  }  console.log('null'); } // Create a static hardcoded linked list: // 1 -> 2 -> 3 -> 4 -> 5. let head = new Node(1); head.next = new Node(2); head.next.next = new Node(3); head.next.next.next = new Node(4); head.next.next.next.next = new Node(5); console.log('Original Linked List: '); printList(head); // Delete the middle node. head = deleteMid(head); console.log('Linked List after deleting the middle node: '); printList(head); 

出力
Original Linked List: 1 -> 2 -> 3 -> 4 -> 5 -> nullptr Linked List after deleting the middle node: 1 -> 2 -> 4 -> 5 -> nullptr 

時間の複雑さ: の上)。 リンクリストの2つのトラバーサルが必要です
補助スペース: O(1)。 余分なスペースは必要ありません。

[予想されるアプローチ]ゆっくりと高速のポインターを備えたワンパストラバーサル-O(n)時間とO(1)スペース

上記のソリューションでは、リンクリストの2つのトラバーサルが必要です。中央のノードは、1つのトラバーサルを使用して削除できます。アイデアは、2つのポインターを使用することです slow_ptr そして fast_ptr 。高速ポインターは一度に2つのノードを移動し、遅いポインターが一度に1つのノードを移動します。高速ポインターがリストの最後に到達すると、遅いポインターが中央のノードに配置されます。次に、中央のノードの前に来るノードを接続する必要があります( 前後 )中央のノードの後に​​来るノードへ。これにより、ミドルノードを効果的にスキップして、リストから削除します。

以下は、上記のアプローチの実装です

C++
// C++ program to delete middle of a linked list #include    using namespace std; struct Node {  int data;  Node* next;  Node(int x){  data = x;  next = nullptr;  } }; // Function to delete middle node from linked list struct Node* deleteMid(struct Node* head) {  // If the list is empty return NULL  if (head == NULL)  return NULL;  // If the list has only one node  // delete it and return NULL  if (head->next == NULL) {  delete head;  return NULL;  }  struct Node* prev = NULL;  struct Node* slow_ptr = head;  struct Node* fast_ptr = head;  // Move the fast pointer 2 nodes ahead  // and the slow pointer 1 node ahead  // until fast pointer reaches end of the list  while (fast_ptr != NULL && fast_ptr->next != NULL) {  fast_ptr = fast_ptr->next->next;   // Update prev to hold the previous   // slow pointer value  prev = slow_ptr;   slow_ptr = slow_ptr->next;   }  // At this point slow_ptr points to middle node  // Bypass the middle node  prev->next = slow_ptr->next;  // Delete the middle node  delete slow_ptr;   // Return the head of the modified list  return head; } void printList(struct Node* head) {  struct Node* temp = head;  while (temp != NULL) {  cout << temp->data << ' -> ';  temp = temp->next;  }  cout << 'NULL' << endl; } int main() {  // Create a static hardcoded linked list:  // 1 -> 2 -> 3 -> 4 -> 5  Node* head = new Node(1);  head->next = new Node(2);  head->next->next = new Node(3);  head->next->next->next = new Node(4);  head->next->next->next->next = new Node(5);  cout << 'Original Linked List: ';  printList(head);  // Delete the middle node  head = deleteMid(head);  cout << 'Linked List after deleting the middle node: ';  printList(head);  return 0; } 
C
// C program to delete middle of a linked list #include  #include  struct Node {  int data;  struct Node* next; }; // Function to delete middle node from linked list struct Node* deleteMid(struct Node* head) {  // If the list is empty return NULL  if (head == NULL)  return NULL;  // If the list has only one node  // delete it and return NULL  if (head->next == NULL) {  free(head);  return NULL;  }  struct Node* prev = NULL;  struct Node* slow_ptr = head;  struct Node* fast_ptr = head;  // Move the fast pointer 2 nodes ahead  // and the slow pointer 1 node ahead  // until fast pointer reaches end of the list  while (fast_ptr != NULL && fast_ptr->next != NULL) {  fast_ptr = fast_ptr->next->next;  // Update prev to hold the previous   // slow pointer value  prev = slow_ptr;  slow_ptr = slow_ptr->next;  }  // At this point slow_ptr points to middle node  // Bypass the middle node  prev->next = slow_ptr->next;  // Delete the middle node  free(slow_ptr);  // Return the head of the modified list  return head; } void printList(struct Node* head) {  struct Node* temp = head;  while (temp != NULL) {  printf('%d -> ' temp->data);  temp = temp->next;  }  printf('NULLn'); } struct Node* newNode(int x) {  struct Node* temp =   (struct Node*)malloc(sizeof(struct Node));  temp->data = x;  temp->next = NULL;  return temp; } int main() {  // Create a static hardcoded linked list:  // 1 -> 2 -> 3 -> 4 -> 5.  struct Node* head = newNode(1);  head->next = newNode(2);  head->next->next = newNode(3);  head->next->next->next = newNode(4);  head->next->next->next->next = newNode(5);  printf('Original Linked List: ');  printList(head);  // Delete the middle node.  head = deleteMid(head);  printf('Linked List after deleting the middle node: ');  printList(head);  return 0; } 
Java
// Java program to delete the middle of a linked list class Node {  int data;  Node next;  Node(int x) {  data = x;  next = null;  } } class GfG {  // Function to delete middle node from linked list  static Node deleteMid(Node head) {  // If the list is empty return null  if (head == null)  return null;  // If the list has only one node  // delete it and return null  if (head.next == null) {  return null;  }  Node prev = null;  Node slow_ptr = head;  Node fast_ptr = head;  // Move the fast pointer 2 nodes ahead  // and the slow pointer 1 node ahead  // until fast pointer reaches end of list  while (fast_ptr != null   && fast_ptr.next != null) {  fast_ptr = fast_ptr.next.next;  // Update prev to hold the previous   // slow pointer value  prev = slow_ptr;  slow_ptr = slow_ptr.next;  }  // At this pointslow_ptr points to middle node  // Bypass the middle node  prev.next = slow_ptr.next;  // Return the head of the modified list  return head;  }    static void printList(Node head) {  Node temp = head;  while (temp != null) {  System.out.print(temp.data + ' -> ');  temp = temp.next;  }  System.out.println('NULL');  }    public static void main(String[] args) {  // Create a static hardcoded linked list:  // 1 -> 2 -> 3 -> 4 -> 5  Node head = new Node(1);  head.next = new Node(2);  head.next.next = new Node(3);  head.next.next.next = new Node(4);  head.next.next.next.next = new Node(5);  System.out.print('Original Linked List: ');  printList(head);  // Delete the middle node  head = deleteMid(head);  System.out.print  ('Linked List after deleting the middle node: ');  printList(head);  } } 
Python
# Python program to delete the middle of a linked list class Node: def __init__(self data): self.data = data self.next = None # Function to delete middle node from linked list def deleteMid(head): # If the list is empty return None if head is None: return None # If the list has only one node # delete it and return None if head.next is None: return None prev = None slow_ptr = head fast_ptr = head # Move the fast pointer 2 nodes ahead # and the slow pointer 1 node ahead # until fast pointer reaches end of the list while fast_ptr is not None and fast_ptr.next is not None: fast_ptr = fast_ptr.next.next # Update prev to hold the previous # slow pointer value prev = slow_ptr slow_ptr = slow_ptr.next # At this point slow_ptr points to middle node # Bypass the middle node prev.next = slow_ptr.next # Return the head of the modified list return head def printList(head): temp = head while temp: print(temp.data end=' -> ') temp = temp.next print('NULL') if __name__ == '__main__': # Create a static hardcoded linked list: # 1 -> 2 -> 3 -> 4 -> 5 head = Node(1) head.next = Node(2) head.next.next = Node(3) head.next.next.next = Node(4) head.next.next.next.next = Node(5) print('Original Linked List: ' end='') printList(head) # Delete the middle node head = deleteMid(head) print('Linked List after deleting the middle node: ' end='') printList(head) 
C#
// C# program to delete middle of a linked list using System; class Node {  public int data;  public Node next;    public Node(int x) {  data = x;  next = null;  } } class GfG {  // Function to delete middle node from linked list  public static Node deleteMid(Node head) {  // If the list is empty return null  if (head == null)  return null;  // If the list has only one node  // delete it and return null  if (head.next == null) {  return null;  }  Node prev = null;  Node slow_ptr = head;  Node fast_ptr = head;  // Move the fast pointer 2 nodes ahead  // and the slow pointer 1 node ahead  // until fast pointer reaches end of the list  while (fast_ptr != null && fast_ptr.next != null) {  fast_ptr = fast_ptr.next.next;  // Update prev to hold the previous   // slow pointer value  prev = slow_ptr;  slow_ptr = slow_ptr.next;  }  // At this point slow_ptr points to middle node  // Bypass the middle node  prev.next = slow_ptr.next;  // Return the head of the modified list  return head;  }  // Function to print the linked list  public static void printList(Node head) {  Node temp = head;  while (temp != null) {  Console.Write(temp.data + ' -> ');  temp = temp.next;  }  Console.WriteLine('NULL');  }  public static void Main(string[] args) {  // Create a static hardcoded linked list:  // 1 -> 2 -> 3 -> 4 -> 5  Node head = new Node(1);  head.next = new Node(2);  head.next.next = new Node(3);  head.next.next.next = new Node(4);  head.next.next.next.next = new Node(5);  Console.Write('Original Linked List: ');  printList(head);  // Delete the middle node  head = deleteMid(head);  Console.Write  ('Linked List after deleting the middle node: ');  printList(head);  } } 
JavaScript
// javascript program to delete middle of a linked list class Node {  constructor(data)  {  this.data = data;  this.next = null;  } } // Function to delete the middle node from the linked list function deleteMid(head) {  // If the list is empty return null  if (head === null) {  return null;  }  // If the list has only one node delete it and return  // null  if (head.next === null) {  return null;  }  let prev = null;  let slow_ptr = head;  let fast_ptr = head;  // Move the fast pointer 2 nodes ahead  // and the slow pointer 1 node ahead  // until the fast pointer reaches the end of the list  while (fast_ptr !== null && fast_ptr.next !== null) {  fast_ptr = fast_ptr.next.next;  // Update prev to hold the previous slow pointer  // value  prev = slow_ptr;  slow_ptr = slow_ptr.next;  }  // At this point slow_ptr points to the middle node  // Bypass the middle node  prev.next = slow_ptr.next;  // Return the head of the modified list  return head; } function printList(head) {  let temp = head;  while (temp !== null) {  process.stdout.write(temp.data + ' -> ');  temp = temp.next;  }  console.log('null'); } // Create a static hardcoded linked list: // 1 -> 2 -> 3 -> 4 -> 5 let head = new Node(1); head.next = new Node(2); head.next.next = new Node(3); head.next.next.next = new Node(4); head.next.next.next.next = new Node(5); process.stdout.write('Original Linked List: '); printList(head); // Delete the middle node head = deleteMid(head); process.stdout.write(  'Linked List after deleting the middle node: '); printList(head); 

出力
Original Linked List: 1 -> 2 -> 3 -> 4 -> 5 -> NULL Linked List after deleting the middle node: 1 -> 2 -> 4 -> 5 -> NULL 

時間の複雑さ: の上)。 リンクリストの1つのトラバーサルのみが必要です
補助スペース: O(1)。 余分なスペースが必要ないため。

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関連記事:

  • リンクリストの中央を見つけます