One of my friend posted this question to me and I am unable to get 
anywhere. Could you guys please help 

A game of cards has 5 colors and 5 values. Thus a total of 25 cards are 
possible. Player 1 will choose n cards and tell you exactly , what all 
cards he has. Then he will spread cards in front of you with face downwards 
in random fashion.
So you know the card values but not the ordering. Player 1 will provide you 
2 types of hints , he can tell you what all cards have some color or he can 
tell you what all cards have some value. you need to tell the ordering of 
cards with the help of these hints.
challenge is to find out minimum number of hints to be provided by player 1 
so that you are able to make it for all cards.

e.g. say player chosen n=5 cards
and tells you the values

B1 Y1 W1 G1 R1

he can either tell you that what all cards are 1 (in this case all cards)
or can tell you different color like leftmost is color 'B" and next after 
'Y' and so on. So minimun hints in this case is 4

 
another example
if n=4
G4 R3 R4 B3

Here he can tell you the card 1st and 3rd are of  values 4 and cards 2 and 
3 are of color 'R'. This will be sufficient to infer the card values. so 
answer is 2


I am not interested in code , please suggest plain simple algorithms, if 
possible with arguments that why it is correct ?

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