Tree Traversals (In-order, Pre-order and Post-order)

Dec 11, 2016Download as pptx, pdf3 likes3,089 views

Sometimes it’s confusing that what manner we have to follow for PRI-Oder, IN-Order, POSTER-Order Traversal. So now you can see how to do In-order, Pri-order and Post-order traversal in different manner. you will find shortcut technique for in-order, pri-order and post-order traversal.

Tree Traversals (In-order, Pre-order and Post-order)

How to Find PRI-ORDER, IN-ORDER, POST-ORDER
Traversal in TREE.
• As we all know there are certain rules (or manner) that we have to follow for Traversal
in tree.
• Pri-Order :- Root, Left, Right.
• In-Order :-Left, Root, Right.
• Post-Order :-Left, Right, Root .
• Sometimes it’s confusing that what manner we have to follow for PRI-Oder, IN-Order,
POSTER-Order Traversal.
• So now we see how to do In-order, Pri-order and Post-order traversal in different
manner.

Left, Right, Bottom side of NODE.
50Left-hand side of Node Right-hand side of Node
Bottom side of Node

For PRI-ORDER TRAVERSAL.
IF YOU ARE IN LEFT-HAND SIDE OF NODE THEN YOU
HAVE TO WRITE THAT VALUE IN OUTPUT.
50
Pri-Order:-
50

• IF YOU ARE IN BOTTOM OF THE NODE THEN YOU DON’T
HAVE TO WRITE ANYTHING IN OUTPUT.
50
Pri-Order:- NULL
PRI-ORDER TRAVERSAL

• IF YOU ARE IN RIGHT-HAND SIDE OF THE NODE THEN
ALSO YOU DON’T HAVE TO WRITE ANTHING IN OUTPUT.
50
Pri-Order:- NULL
PRI-ORDER TRAVERSAL

Now see how to follow this steps in TREE Traversal.

Draw one imaginary path around given TREE
Step 1:

35
20 45 9060
80
5050
PRI-ORDER:- .
20
35
45
80
60 90
IF YOU ARE IN LEFT HAND
SIDE OF NODE THEN YOU
HAVE TO WRITE THAT VALUE
IN OUTPUT

For IN-ORDER TRAVERSAL.
IF YOU ARE IN LEFT-HAND SIDE OF NODE THEN YOU
DON’T HAVE TO WRITE ANYTHING IN OUTPUT.
50
IN-Order:-NULL
50

• IF YOU ARE IN BOTTOM OF THE NODE THEN YOU HAVE
TO WRITE THAT VALUE IN OUTPUT.
50
IN-Order:-
50
IN-ORDER TRAVERSAL

• IF YOU ARE IN RIGHT-HAND SIDE OF THE NODE THEN
YOU DON’T HAVE TO WRITE ANYTHING IN OUTPUT.
50
IN-Order:- NULL
IN-ORDER TRAVERSAL

50
35
20 45 9060
80
Let’s see one example.
IF YOU ARE IN BOTTOM
SIDE OF NODE THEN YOU
HAVE TO WRITE THAT
VALUE IN OUTPUT
20
IN-ORDER:- .
35
45
50
60
80
90

For POST-ORDER TRAVERSAL.
IF YOU ARE IN LEFT-HAND SIDE OF NODE THEN YOU
DON’T HAVE TO WRITE THAT VALUE IN OUTPUT.
50
POST-Order:-NULL
50

• IF YOU ARE IN BOTTOM OF THE NODE THEN YOU DON’T
HAVE TO WRITE ANYTING IN OUTPUT.
50
POST-Order:-NULL
POST-ORDER TRAVERSAL

• IF YOU ARE IN RIGHT-HAND SIDE OF THE NODE THEN
YOU HAVE TO WRITE THAT VALUE IN OUTPUT.
50
POST-Order:-
50
POST-ORDER TRAVERSAL

50
35
20 45 9060
80
Let’s see one example.
Post-Order:- .
20
IF YOU ARE IN RIGHT-
HAND SIDE OF NODE
THEN YOU HAVE TO
WRITE THAT VALUE
IN OUTPUT
45
35
60 90
80
50

Conclusion
• PRI-ORDER :- Consider the value If you are in LEFT-HAND SIDE
of the NODE.
• IN-ORDER :- Consider the value if you are in BOTTOM SIDE
of the NODE
• POST-ORDER:- Consider the value If you are in RIGHT-HAND SIDE
of the NODE.
50
50
50

• Still if you have any queries then ask them on.
Email:-Upadhyayraj007@gmail.com

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Tree Traversals (In-order, Pre-order and Post-order)

2. How to Find PRI-ORDER, IN-ORDER, POST-ORDER Traversal in TREE. • As we all know there are certain rules (or manner) that we have to follow for Traversal in tree. • Pri-Order :- Root, Left, Right. • In-Order :-Left, Root, Right. • Post-Order :-Left, Right, Root . • Sometimes it’s confusing that what manner we have to follow for PRI-Oder, IN-Order, POSTER-Order Traversal. • So now we see how to do In-order, Pri-order and Post-order traversal in different manner.

4. Left, Right, Bottom side of NODE. 50Left-hand side of Node Right-hand side of Node Bottom side of Node

6. For PRI-ORDER TRAVERSAL. IF YOU ARE IN LEFT-HAND SIDE OF NODE THEN YOU HAVE TO WRITE THAT VALUE IN OUTPUT. 50 Pri-Order:- 50

7. • IF YOU ARE IN BOTTOM OF THE NODE THEN YOU DON’T HAVE TO WRITE ANYTHING IN OUTPUT. 50 Pri-Order:- NULL PRI-ORDER TRAVERSAL

8. • IF YOU ARE IN RIGHT-HAND SIDE OF THE NODE THEN ALSO YOU DON’T HAVE TO WRITE ANTHING IN OUTPUT. 50 Pri-Order:- NULL PRI-ORDER TRAVERSAL

9. Now see how to follow this steps in TREE Traversal.

10. 50 35 20 45 7060 80 Example.

11. Draw one imaginary path around given TREE Step 1:

12. 35 20 45 9060 80 5050 PRI-ORDER:- . 20 35 45 80 60 90 IF YOU ARE IN LEFT HAND SIDE OF NODE THEN YOU HAVE TO WRITE THAT VALUE IN OUTPUT

14. For IN-ORDER TRAVERSAL. IF YOU ARE IN LEFT-HAND SIDE OF NODE THEN YOU DON’T HAVE TO WRITE ANYTHING IN OUTPUT. 50 IN-Order:-NULL 50

15. • IF YOU ARE IN BOTTOM OF THE NODE THEN YOU HAVE TO WRITE THAT VALUE IN OUTPUT. 50 IN-Order:- 50 IN-ORDER TRAVERSAL

16. • IF YOU ARE IN RIGHT-HAND SIDE OF THE NODE THEN YOU DON’T HAVE TO WRITE ANYTHING IN OUTPUT. 50 IN-Order:- NULL IN-ORDER TRAVERSAL

17. 50 35 20 45 7060 80 Example.

18. Draw one imaginary path around given TREE Step 1:

19. 50 35 20 45 9060 80 Let’s see one example. IF YOU ARE IN BOTTOM SIDE OF NODE THEN YOU HAVE TO WRITE THAT VALUE IN OUTPUT 20 IN-ORDER:- . 35 45 50 60 80 90

21. For POST-ORDER TRAVERSAL. IF YOU ARE IN LEFT-HAND SIDE OF NODE THEN YOU DON’T HAVE TO WRITE THAT VALUE IN OUTPUT. 50 POST-Order:-NULL 50

22. • IF YOU ARE IN BOTTOM OF THE NODE THEN YOU DON’T HAVE TO WRITE ANYTING IN OUTPUT. 50 POST-Order:-NULL POST-ORDER TRAVERSAL

23. • IF YOU ARE IN RIGHT-HAND SIDE OF THE NODE THEN YOU HAVE TO WRITE THAT VALUE IN OUTPUT. 50 POST-Order:- 50 POST-ORDER TRAVERSAL

24. 50 35 20 45 7060 80 Example.

25. Draw one imaginary path around given TREE Step 1:

26. 50 35 20 45 9060 80 Let’s see one example. Post-Order:- . 20 IF YOU ARE IN RIGHT- HAND SIDE OF NODE THEN YOU HAVE TO WRITE THAT VALUE IN OUTPUT 45 35 60 90 80 50

27. Conclusion • PRI-ORDER :- Consider the value If you are in LEFT-HAND SIDE of the NODE. • IN-ORDER :- Consider the value if you are in BOTTOM SIDE of the NODE • POST-ORDER:- Consider the value If you are in RIGHT-HAND SIDE of the NODE. 50 50 50

28. • Still if you have any queries then ask them on. Email:-Upadhyayraj007@gmail.com

Tree Traversals (In-order, Pre-order and Post-order)

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