다중 수준 연결 목록 평면화(깊이별)
여기에 추가로 연결된 목록이 주어지면 다음 각 노드에는 포인터가 있습니다. 어린이 별도의 목록을 가리킬 수도 있고 가리키지 않을 수도 있는 포인터입니다. 이러한 하위 목록에는 하나 이상 자신의 아이들이 생산하는 다단계 연결리스트. 주어진 머리 ~의 첫 번째 수준 목록의. 과제는 단조롭게 하다 모든 노드가 단일 레벨 연결리스트. 모든 노드가 해당 목록에 포함되도록 목록을 평면화합니다. 와야 해 첫 번째 그런 다음 노드의 두번째 수준 등등.
예:
입력:
산출: 1->4->6->2->5->7->3->8
설명: 다중 레벨 연결 리스트는 하위 포인터가 없으므로 평면화됩니다.
우리는 논의했습니다 다중 레벨 연결 리스트의 평면화 여기서 노드에는 아래쪽과 다음 두 개의 포인터가 있습니다. 이전 포스팅에서 우리는 단조롭게 하는 연결리스트 레벨별로. 항상 처리해야 할 때 연결 목록을 평면화하는 방법 아래쪽 포인터 모든 노드에서 다음 전에.
목차
[예상 접근 방식] 재귀를 활용 - O(n) 시간과 O(n) 공간
C++접근 방식은 재귀적으로 납작하게 하다 다단계 연결 각 노드와 그 하위 노드를 순회하여 나열합니다. 첫 번째 하위 목록을 평면화 재귀를 사용합니다. 하위 목록이 평면화되면 다음 노드 in the sequence. 순회하는 동안 참조 에 이전에 방문한 노드 그리고 이를 현재 노드에 연결합니다. 이 프로세스는 서로 다른 수준의 모든 노드가 하나의 방식으로 연결되도록 보장합니다. 단일 선형 목록 보존하면서 깊이 순서.
// A C++ program to flatten a multi- // linked list depth-wise #include using namespace std ; class Node { public : int data ; Node * next ; Node * down ; Node ( int x ) { data = x ; next = down = nullptr ; } }; void flattenList ( Node * curr Node *& prev ) { if ( curr == nullptr ) return ; // Add the current element to the list. if ( prev != nullptr ) prev -> next = curr ; prev = curr ; // Store the next pointer Node * next = curr -> next ; // Recursively add the bottom list flattenList ( curr -> down prev ); // Recursively add the next list flattenList ( next prev ); } void printList ( Node * head ) { Node * curr = head ; while ( curr != nullptr ) { cout < < curr -> data < < ' ' ; curr = curr -> next ; } cout < < endl ; } int main () { // Create a hard coded multi-linked list. // 5 -> 10 -> 19 -> 28 // | | // 7 22 // | | // 8 50 // | // 30 Node * head = new Node ( 5 ); head -> down = new Node ( 7 ); head -> down -> down = new Node ( 8 ); head -> down -> down -> down = new Node ( 30 ); head -> next = new Node ( 10 ); head -> next -> next = new Node ( 19 ); head -> next -> next -> down = new Node ( 22 ); head -> next -> next -> down -> down = new Node ( 50 ); head -> next -> next -> next = new Node ( 28 ); Node * prev = nullptr ; flattenList ( head prev ); printList ( head ); return 0 ; }
Java // A Java program to flatten a multi- // linked list depth-wise class Node { int data ; Node next down ; Node ( int x ) { data = x ; next = down = null ; } } class GfG { static void flattenList ( Node curr Node [] prev ) { if ( curr == null ) return ; // Add the current element to the list. if ( prev [ 0 ] != null ) prev [ 0 ] . next = curr ; prev [ 0 ] = curr ; // Store the next pointer Node next = curr . next ; // Recursively add the bottom list flattenList ( curr . down prev ); // Recursively add the next list flattenList ( next prev ); } static void printList ( Node head ) { Node curr = head ; while ( curr != null ) { System . out . print ( curr . data + ' ' ); curr = curr . next ; } System . out . println (); } public static void main ( String [] args ) { // Create a hard coded multi-linked list. // 5 -> 10 -> 19 -> 28 // | | // 7 22 // | | // 8 50 // | // 30 Node head = new Node ( 5 ); head . down = new Node ( 7 ); head . down . down = new Node ( 8 ); head . down . down . down = new Node ( 30 ); head . next = new Node ( 10 ); head . next . next = new Node ( 19 ); head . next . next . down = new Node ( 22 ); head . next . next . down . down = new Node ( 50 ); head . next . next . next = new Node ( 28 ); Node [] prev = new Node [ 1 ] ; flattenList ( head prev ); printList ( head ); } }
Python # A Python program to flatten a multi- # linked list depth-wise class Node : def __init__ ( self x ): self . data = x self . next = None self . down = None def flatten_list ( curr prev ): if curr is None : return # Add the current element to the list. if prev [ 0 ] is not None : prev [ 0 ] . next = curr prev [ 0 ] = curr # Store the next pointer next_node = curr . next # Recursively add the bottom list flatten_list ( curr . down prev ) # Recursively add the next list flatten_list ( next_node prev ) def print_list ( head ): curr = head while curr is not None : print ( curr . data end = ' ' ) curr = curr . next print () if __name__ == '__main__' : # Create a hard coded multi-linked list. # 5 -> 10 -> 19 -> 28 # | | # 7 22 # | | # 8 50 # | # 30 head = Node ( 5 ) head . down = Node ( 7 ) head . down . down = Node ( 8 ) head . down . down . down = Node ( 30 ) head . next = Node ( 10 ) head . next . next = Node ( 19 ) head . next . next . down = Node ( 22 ) head . next . next . down . down = Node ( 50 ) head . next . next . next = Node ( 28 ) prev = [ None ] flatten_list ( head prev ) print_list ( head )
C# // A C# program to flatten a multi- // linked list depth-wise using System ; class Node { public int data ; public Node next down ; public Node ( int x ) { data = x ; next = down = null ; } } class GfG { static void FlattenList ( Node curr ref Node prev ) { if ( curr == null ) return ; // Add the current element to the list. if ( prev != null ) prev . next = curr ; prev = curr ; // Store the next pointer Node next = curr . next ; // Recursively add the bottom list FlattenList ( curr . down ref prev ); // Recursively add the next list FlattenList ( next ref prev ); } static void PrintList ( Node head ) { Node curr = head ; while ( curr != null ) { Console . Write ( curr . data + ' ' ); curr = curr . next ; } Console . WriteLine (); } static void Main ( string [] args ) { // Create a hard coded multi-linked list. // 5 -> 10 -> 19 -> 28 // | | // 7 22 // | | // 8 50 // | // 30 Node head = new Node ( 5 ); head . down = new Node ( 7 ); head . down . down = new Node ( 8 ); head . down . down . down = new Node ( 30 ); head . next = new Node ( 10 ); head . next . next = new Node ( 19 ); head . next . next . down = new Node ( 22 ); head . next . next . down . down = new Node ( 50 ); head . next . next . next = new Node ( 28 ); Node prev = null ; FlattenList ( head ref prev ); PrintList ( head ); } }
JavaScript // A Javascript program to flatten a multi- // linked list depth-wise class Node { constructor ( x ) { this . data = x ; this . next = null ; this . down = null ; } } function flattenList ( curr prev ) { if ( curr === null ) return ; // Add the current element to the list. if ( prev [ 0 ] !== null ) prev [ 0 ]. next = curr ; prev [ 0 ] = curr ; // Store the next pointer let next = curr . next ; // Recursively add the bottom list flattenList ( curr . down prev ); // Recursively add the next list flattenList ( next prev ); } function printList ( head ) { let curr = head ; while ( curr !== null ) { console . log ( curr . data ); curr = curr . next ; } } // Create a hard coded multi-linked list. // 5 -> 10 -> 19 -> 28 // | | // 7 22 // | | // 8 50 // | // 30 let head = new Node ( 5 ); head . down = new Node ( 7 ); head . down . down = new Node ( 8 ); head . down . down . down = new Node ( 30 ); head . next = new Node ( 10 ); head . next . next = new Node ( 19 ); head . next . next . down = new Node ( 22 ); head . next . next . down . down = new Node ( 50 ); head . next . next . next = new Node ( 28 ); let prev = [ null ]; flattenList ( head prev ); printList ( head );
산출
5 7 8 30 10 19 22 50 28
[대체 접근 방식] 스택 사용 - O(n) 시간 및 O(n) 공간
C++접근 방식은 다음과 같습니다. 다단계 연결리스트 사용하여 스택 . 시작 미는 그만큼 헤드 노드 스택에. 그럼 동안 스택이 비어 있지 않습니다 팝 최상위 노드를 가져와 처리합니다. 각 노드에 대해 푸시 그것은 다음 및 아래쪽 포인터 (존재하는 경우) 스택에 추가합니다. 이 과정에서 현재 노드를 이전 노드에 연결 목록을 평평한 형태로 유지합니다. 순회는 모든 수준의 노드가 단일 수준 연결 목록 깊이 순서를 유지합니다.
// A C++ program to flatten a multi- // linked list depth-wise using stack #include using namespace std ; class Node { public : int data ; Node * next ; Node * down ; Node ( int x ) { data = x ; next = down = nullptr ; } }; void flattenList ( Node * head ) { if ( head == nullptr ) return ; stack < Node *> st ; st . push ( head ); Node * prev = nullptr ; while ( ! st . empty ()) { Node * curr = st . top (); st . pop (); // Push the next node first if ( curr -> next != nullptr ) st . push ( curr -> next ); // Push the bottom node into stack if ( curr -> down != nullptr ) st . push ( curr -> down ); // Add the current element to the list if ( prev != nullptr ) prev -> next = curr ; prev = curr ; } } void printList ( Node * head ) { Node * curr = head ; while ( curr != nullptr ) { cout < < curr -> data < < ' ' ; curr = curr -> next ; } cout < < endl ; } int main () { // Create a hard coded multi-linked list. // 5 -> 10 -> 19 -> 28 // | | // 7 22 // | | // 8 50 // | // 30 Node * head = new Node ( 5 ); head -> down = new Node ( 7 ); head -> down -> down = new Node ( 8 ); head -> down -> down -> down = new Node ( 30 ); head -> next = new Node ( 10 ); head -> next -> next = new Node ( 19 ); head -> next -> next -> down = new Node ( 22 ); head -> next -> next -> down -> down = new Node ( 50 ); head -> next -> next -> next = new Node ( 28 ); flattenList ( head ); printList ( head ); return 0 ; }
Java // A Java program to flatten a multi- // linked list depth-wise using stack import java.util.Stack ; class Node { int data ; Node next down ; Node ( int x ) { data = x ; next = down = null ; } } class GfG { static void flattenList ( Node head ) { if ( head == null ) return ; Stack < Node > stack = new Stack <> (); stack . push ( head ); Node prev = null ; while ( ! stack . isEmpty ()) { Node curr = stack . pop (); // Push the next node first if ( curr . next != null ) stack . push ( curr . next ); // Push the bottom node into stack if ( curr . down != null ) stack . push ( curr . down ); // Add the current element to the list if ( prev != null ) prev . next = curr ; prev = curr ; } } static void printList ( Node head ) { Node curr = head ; while ( curr != null ) { System . out . print ( curr . data + ' ' ); curr = curr . next ; } System . out . println (); } public static void main ( String [] args ) { // Create a hard coded multi-linked list. // 5 -> 10 -> 19 -> 28 // | | // 7 22 // | | // 8 50 // | // 30 Node head = new Node ( 5 ); head . down = new Node ( 7 ); head . down . down = new Node ( 8 ); head . down . down . down = new Node ( 30 ); head . next = new Node ( 10 ); head . next . next = new Node ( 19 ); head . next . next . down = new Node ( 22 ); head . next . next . down . down = new Node ( 50 ); head . next . next . next = new Node ( 28 ); flattenList ( head ); printList ( head ); } }
Python # A Python program to flatten a multi- # linked list depth-wise using stack class Node : def __init__ ( self x ): self . data = x self . next = None self . down = None def flatten_list ( head ): if head is None : return stack = [ head ] prev = None while stack : curr = stack . pop () # Push the next node first if curr . next : stack . append ( curr . next ) # Push the bottom node into stack if curr . down : stack . append ( curr . down ) # Add the current element to the list if prev : prev . next = curr prev = curr def print_list ( head ): curr = head while curr : print ( curr . data end = ' ' ) curr = curr . next print () if __name__ == '__main__' : # Create a hard coded multi-linked list. # 5 -> 10 -> 19 -> 28 # | | # 7 22 # | | # 8 50 # | # 30 head = Node ( 5 ) head . down = Node ( 7 ) head . down . down = Node ( 8 ) head . down . down . down = Node ( 30 ) head . next = Node ( 10 ) head . next . next = Node ( 19 ) head . next . next . down = Node ( 22 ) head . next . next . down . down = Node ( 50 ) head . next . next . next = Node ( 28 ) flatten_list ( head ) print_list ( head )
C# // A C# program to flatten a multi- // linked list depth-wise using stack using System ; using System.Collections.Generic ; class Node { public int data ; public Node next down ; public Node ( int x ) { data = x ; next = down = null ; } } class GfG { static void FlattenList ( Node head ) { if ( head == null ) return ; Stack < Node > stack = new Stack < Node > (); stack . Push ( head ); Node prev = null ; while ( stack . Count > 0 ) { Node curr = stack . Pop (); // Push the next node first if ( curr . next != null ) stack . Push ( curr . next ); // Push the bottom node into stack if ( curr . down != null ) stack . Push ( curr . down ); // Add the current element to the list if ( prev != null ) prev . next = curr ; prev = curr ; } } static void PrintList ( Node head ) { Node curr = head ; while ( curr != null ) { Console . Write ( curr . data + ' ' ); curr = curr . next ; } Console . WriteLine (); } static void Main ( string [] args ) { // Create a hard coded multi-linked list. // 5 -> 10 -> 19 -> 28 // | | // 7 22 // | | // 8 50 // | // 30 Node head = new Node ( 5 ); head . down = new Node ( 7 ); head . down . down = new Node ( 8 ); head . down . down . down = new Node ( 30 ); head . next = new Node ( 10 ); head . next . next = new Node ( 19 ); head . next . next . down = new Node ( 22 ); head . next . next . down . down = new Node ( 50 ); head . next . next . next = new Node ( 28 ); FlattenList ( head ); PrintList ( head ); } }
JavaScript // A Javascript program to flatten a multi- // linked list depth-wise using stack class Node { constructor ( x ) { this . data = x ; this . next = null ; this . down = null ; } } function flattenList ( head ) { if ( head === null ) return ; let stack = [ head ]; let prev = null ; while ( stack . length > 0 ) { let curr = stack . pop (); // Push the next node first if ( curr . next !== null ) stack . push ( curr . next ); // Push the bottom node into stack if ( curr . down !== null ) stack . push ( curr . down ); // Add the current element to the list if ( prev !== null ) prev . next = curr ; prev = curr ; } } function printList ( head ) { let curr = head ; while ( curr !== null ) { console . log ( curr . data ); curr = curr . next ; } } // Create a hard coded multi-linked list. // 5 -> 10 -> 19 -> 28 // | | // 7 22 // | | // 8 50 // | // 30 let head = new Node ( 5 ); head . down = new Node ( 7 ); head . down . down = new Node ( 8 ); head . down . down . down = new Node ( 30 ); head . next = new Node ( 10 ); head . next . next = new Node ( 19 ); head . next . next . down = new Node ( 22 ); head . next . next . down . down = new Node ( 50 ); head . next . next . next = new Node ( 28 ); flattenList ( head ); printList ( head );
산출
5 7 8 30 10 19 22 50 28
