abha


On Tue, Jul 1, 2014 at 9:45 PM, vikas <[email protected]> wrote:

> 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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-- 
Abha Awasthi

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