Puzzle of two brother and facebook 3d cube

1. Puzzle of two brother and
facebook-3D cube
Hup university
5-2-2018

2. Puzzle
• Sahil and Ritik are brothers. One day they were discussing who is
smarter. But gradually the discussion turned into an argument.
Mother came and tried to handle the situation. She gave them a
problem to solve and the one who will solve the problem first,
would be considered smarter than the other. The problem is
• :
In a group of 6 people, you might find some people are friends on
Facebook, or you might find that no one is friend on Facebook. The
brothers are supposed to prove that there is always a group of 3
people where either :
•
–All3 people are mutual friends on Facebook.
• –All3 people are strangers (i.e, no one is friend on Facebook).
• Can you help the brothers to reach to the solution ?

3. Solution using 3D Cube
• Since we want to find pointes of three
elements only, we can used xyz dimension
• Each layer will be a name of one person , and
we will find the relation of that person with
the others.
• We will find repetition points and position
they must be delete .
• When we find the 3 friends in each layer we
can find the not 3 friends too.

4. Layer one

5. Repetitions position
This position will
be delete for all
the layer

6. After delete repetition

7. Repetitions positionsThis position will
be delete for all
the layer
These positions
will be delete for
all the layer
Repetitions
positions

8. Layer1- After delete repetition

9. Layer1- Repetitions pointes

10. Layer1- After delete repetition
3 friends

11. Layer1- Repetitions pointes

12. Layer 1- After delete repetition

13. Layer 1- Repetitions pointes

14. Layer 1- Repetitions pointes

15. Layer 1- 3 friends

16. Layer1- Delete position from the cube

17. Layer 1- 3 friends

18. 3 friends3 friends3 friendsNot 3 friends

20. Layer 2- Not correct pointes

21. Layer 2 delete position in All the cube

22. Layer2- After delete

23. Layer 2- 3 friends

24. Layer3- delete not correct pointes

25. Layer 3 delete position in All the cube

26. Layer3- After delete

27. Layer 3- 3 friends

28. Layer 4- delete not correct pointes

29. Layer 4 delete position in All the cube

30. Layer4- 3 friends

31. Layer 4- 3 friends