Doubt-2

In a tournament there are 64 competitors no two of whom are equal. Moreover in a game the better player always wins. If we need to award Gold, Silver and Bronze medals to the top three players of the tournament, how many matches must be played to decide the three positions?

#Logic

Easy Math Editor

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Comments

ok sure

Mohammed Imran - 1 year, 2 months ago

One very important thing you have forgotten to add in: you haven't specified which kind of playing you're using!

Now, if we're talking about playing like the "group stage" way (sorry I do not know words dedicated to the subject), you would have to take exactly 2016 matches to settle the winners (assuming that this game is completely skill-based).

If we're talking about playing the game like "knockout stage", we will need 63 games to pick the Gold medalist (along with the Silver medalist), and here you could either be lazy and just make another set of bronze medals, or you have to settle a match (third-place match), effectively making the number of games 64.

The takeaway? Details matter!

Steven Jim - 1 year, 2 months ago

All players play together

Mohammed Imran - 1 year, 2 months ago

That is not enough. Again, in what way do they play? Is it like a big arena where everyone would punch each other until one is awake and picked as the winner? (If then, jeez, you only need one match. And 63 ambulances, depending on how you see it.) Or are they playing like the ways I demonstrated above?

Again, you are making the exact mistake as you did in the previous posts: Sometimes you have to write down your idea good enough and have good restrictions to make the problem meaningful. If you can't, well, people won't understand.

Steven Jim - 1 year, 2 months ago

@Steven Jim – tat was only given to me by a professor

Mohammed Imran - 1 year, 2 months ago

@Mohammed Imran – Well then, take my answer and give it to him.

Steven Jim - 1 year, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$