Check if a given array can represent preorder traversal of binary search tree

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Wonkyu Lee

Trace algorithm to check if a given array can represent preorder traversal of BST

Software

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: INT_MIN
Stack: 40
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: INT_MIN
Stack: 40, 30
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: INT_MIN
Stack: 40, 30, 20
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: INT_MIN 30
Stack: 40, 30, 20, 32
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 30
Stack: 40, 32
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 30 32
Stack: 40, 32, 35
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 32
Stack: 40, 35
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 32 40
Stack: 40, 35, 80
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 40
Stack: 80
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 40
Stack: 80, 70
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 40 70
Stack: 80, 70, 75
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 70
Stack: 80, 75
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 70
Stack: 80, 75, 73
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 70 80
Stack: 80, 75, 73, 100
40
/
30 80
/ /
20 32 70 100

35 75
/
73

Check if a given array can represent Preorder
Traversal of Binary Search Tree
Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100
Root: 80
Stack: 100
40
/
30 80
/ /
20 32 70 100

35 75
/
73

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Check if a given array can represent preorder traversal of binary search tree

1. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: INT_MIN Stack: 40 40 / 30 80 / / 20 32 70 100 35 75 / 73

2. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: INT_MIN Stack: 40, 30 40 / 30 80 / / 20 32 70 100 35 75 / 73

3. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: INT_MIN Stack: 40, 30, 20 40 / 30 80 / / 20 32 70 100 35 75 / 73

4. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: INT_MIN 30 Stack: 40, 30, 20, 32 40 / 30 80 / / 20 32 70 100 35 75 / 73

5. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 30 Stack: 40, 32 40 / 30 80 / / 20 32 70 100 35 75 / 73

6. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 30 32 Stack: 40, 32, 35 40 / 30 80 / / 20 32 70 100 35 75 / 73

7. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 32 Stack: 40, 35 40 / 30 80 / / 20 32 70 100 35 75 / 73

8. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 32 40 Stack: 40, 35, 80 40 / 30 80 / / 20 32 70 100 35 75 / 73

9. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 40 Stack: 80 40 / 30 80 / / 20 32 70 100 35 75 / 73

10. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 40 Stack: 80, 70 40 / 30 80 / / 20 32 70 100 35 75 / 73

11. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 40 70 Stack: 80, 70, 75 40 / 30 80 / / 20 32 70 100 35 75 / 73

12. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 70 Stack: 80, 75 40 / 30 80 / / 20 32 70 100 35 75 / 73

13. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 70 Stack: 80, 75, 73 40 / 30 80 / / 20 32 70 100 35 75 / 73

14. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 70 80 Stack: 80, 75, 73, 100 40 / 30 80 / / 20 32 70 100 35 75 / 73

15. Check if a given array can represent Preorder Traversal of Binary Search Tree Preorder: 40, 30, 20, 32, 35, 80, 70, 75, 73, 100 Root: 80 Stack: 100 40 / 30 80 / / 20 32 70 100 35 75 / 73

Check if a given array can represent preorder traversal of binary search tree

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