programming python

Chuyển đổi cây nhị phân thành mảng Python

Đưa ra một Cây nhị phân, chuyển đổi nó thành Cây tìm kiếm nhị phân. Việc chuyển đổi phải được thực hiện theo cách giữ nguyên cấu trúc ban đầu của Cây nhị phân

ví dụ

Example 1
Input:
          10
         /  
        2    7
       / 
      8   4
Output:
          8
         /  
        4    10
       / 
      2   7


Example 2
Input:
          10
         /  
        30   15
       /      
      20       5
Output:
          15
         /  
       10    20
       /      
      5        30



Giải pháp
Sau đây là giải pháp 3 bước để chuyển đổi Cây nhị phân thành Cây tìm kiếm nhị phân.
1] Tạo một mảng tạm thời arr[] lưu trữ thứ tự duyệt của cây. Bước này mất O[n] thời gian.
2] Sắp xếp mảng tạm thời arr[]. Độ phức tạp về thời gian của bước này phụ thuộc vào thuật toán sắp xếp. Trong lần triển khai sau, Sắp xếp nhanh được sử dụng, mất [n^2] thời gian. Điều này có thể được thực hiện trong thời gian O[nLogn] bằng cách sử dụng Sắp xếp theo đống hoặc Sắp xếp hợp nhất.
3] Một lần nữa thực hiện duyệt cây theo thứ tự và sao chép từng phần tử mảng vào các nút của cây. Bước này mất O[n] thời gian.

Sau đây là triển khai C của phương pháp trên. Chức năng chính để chuyển đổi được đánh dấu trong đoạn mã sau

C

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
67

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
68

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
69

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
71

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
73

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
2

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
5

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
8

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
9

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
671

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
672
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
673

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
674 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
675
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
677
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
679
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
681

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____1684

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
687

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
690

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
693

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
695

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
698

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
700

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
702
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
703

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____1706

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____1708

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
709

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
711

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
713
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
715

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
719

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
722

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
725

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
726
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
727

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
709

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
730

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
732
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
733 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
674 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
735
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
733 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
674 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
738

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0_______1689 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
742
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
744
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1____1746

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
709

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
749

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
00
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
01

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
00
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
03

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
674 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
05
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
07
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
09
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
681

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____1684

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
719

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
18
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
690

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
23

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
25

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
28

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
30

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
32

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
35

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
37

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
709

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
40

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
674 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
42
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
44

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
47

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____1686
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
719

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
51
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
690

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
56

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
51
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
58

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
61

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
64

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0_______11 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
67____168 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
73

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
75

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
78

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
80 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
81
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
82
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
83

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
86

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
73

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
90

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
93

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
95 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
96

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
709

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
99

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6701____11 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6703

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0_______172 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6707____168 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6710

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16712

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16714

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16716

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6719

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
709

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6722

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
674 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6724
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6726

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
687

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
690

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16736

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16738

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6741

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16743
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6744
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6745
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6746

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6749

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6751

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
709

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6754

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
1 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6756

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
74

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
72 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6760

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16763

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6764
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6765

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6766
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6767

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6769

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
51____16771

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
18____16773

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6775

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6777

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16779

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6781

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16783

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6786

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6788

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16743
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6744
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6793
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6794

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6796

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
722

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
709

con trăn

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6802

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6804

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6805 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6806

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6809

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16811 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6812
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6813
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6814

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6813
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6817
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6819

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6813
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6822
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6824

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6813
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6827
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6824

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6831

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6811 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6833

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16836

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6839
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6840 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6824
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6842

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16847

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16849

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16852

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16854

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16857

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6859

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6861

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6811 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6863

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6839
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6840 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6824
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6842

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6872

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0_______1689 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6876
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6877 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6878
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6877 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6880

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6882

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6883

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6811 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6885

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16836

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6839
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6840 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6824
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6842

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6899

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6901

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6904

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16906____16818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6908
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6872
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6910

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16912____16872
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6914

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16917

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16919

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6921

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6811 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6923

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16926

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6839
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6840 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6824
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6842

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6937

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16939

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16941____16818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6943

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16946

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16948

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6950
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6952

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16954

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
720

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6957

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6959

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6962

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16964

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6966

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6811 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6968

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
686 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6839
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6840 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6824
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6842

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
688
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
689

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6978

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6980 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6981

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
0____16983

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6985

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6839
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6988
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6765
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6914

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6991
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6988
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6994
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6914

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6996
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6988
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6999
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6914

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7001
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6988
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7004
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6914

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7006
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6818 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6988
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7009
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6914

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7012

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7013

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
6980 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7016

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7017

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
70

Following is Inorder Traversal of the converted BST:
5 10 15 20 30
7019

/div>


đầu ra. 
Following is Inorder Traversal of the converted BST:
5 10 15 20 30

Chúng tôi sẽ đề cập đến một phương pháp khác cho vấn đề này, đó là chuyển đổi cây bằng cách sử dụng không gian bổ sung O[chiều cao của cây]

Vui lòng viết bình luận nếu bạn thấy bất cứ điều gì không chính xác hoặc bạn muốn chia sẻ thêm thông tin về chủ đề thảo luận ở trên

Làm cách nào để chuyển đổi cây tìm kiếm nhị phân thành mảng?

convertBTtoArray[] sẽ chuyển đổi cây nhị phân thành biểu diễn mảng của nó bằng cách duyệt qua cây và thêm các phần tử vào treeArray . createBST[] sẽ tạo cây tìm kiếm nhị phân tương ứng bằng cách chọn nút giữa của treeArray đã sắp xếp làm nút gốc.

Một cây có thể được biểu diễn dưới dạng mảng không?

Cây có thể được biểu diễn theo hai cách như liệt kê bên dưới. Biểu diễn nút động [Đại diện được liên kết]. Biểu diễn mảng [Biểu diễn tuần tự] .

Làm cách nào để chuyển cây nhị phân sang cây AVL?

Giải pháp hiệu quả . Vì chúng tôi sử dụng truyền tải theo thứ tự, nên mảng kết quả sẽ được sắp xếp. Ghi chú. Để tìm hiểu thêm về truyền tải theo thứ tự, hãy tham khảo liên kết này. store the values of all the tree's nodes in an array via in-order traversal of the tree. Since we use in-order traversal, the resulting array will be sorted. Note: To learn more about in-order traversal, refer to this link.

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