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Hi,

I am new to the quizzes and also more or less new to ruby. I would
appreciate any comments on my "unrubyness", and thanks in advance. I prefer
1<<n to 2**n although I guess they are implemented similarly.

I am attaching my solution.
Let n be the number of participants and k be the power of 2 following n (or
n if it is a power of 2). Let pg2(k).
The tournament (in my code) is understood as a binary tree *of "expected"
matches* starting with the final (expected to be [1,2] the best against the
second-best). Assume we have computed all the matches up to level i-1 (i are the semi-finals, i0quarter-finals...), which are r *(i-1) matches:
m_1, ..., m_r (notice I start counting at 1). Let us compute the i-level
matches, which are 2**i, call them n_1,...,n_2r . The algorithm is:
Let  l l_1,...,l_2r)  m_11, m_12, m_21, m_22, ..., m_r2) the list of
players at level i-1 ordered as the matches say (i.e., in the semi-finals:
(1,4,2,5)

Let INDEX  **(i)+1
Let j
STEP:
Match n_j  l_j, OP_j] where l_j + OP_j  NDEX
j++
GOTO STEP unless j > 2r
return (n_1,...,n2r)

Actually, one can do a better ordering (which puts 1 at the top and 2 at the
bottom of every tree), which is what I have implemented.
In my code, the complete tournament is kept in memory as a list of
1 + 2 +... +2**p
matches. Different levels (i) can be distinguished by starting to count at
2**(i-1)-1

As you will see, the code looks somewhat hackish because there are too many
2** and off-by-one counts. However, I think this preserves the "natural"
structure of the data without using strong stuff like nested lists of
different lengths, etc... (And it is obviously more challenging to program
this way
:)

If you create a Tournament with a number, you get the numbers as the labels.
If you create it with a list, it is understood as an ordered (according to
rank) list of the participants. Labels (and emptpy spaces) are then given
the maximum length of the names.

Example:
one|
|-----|
four|     |
|-----
three|     |
|-----|
two|

(notice the "nice" 1-at the top 2-at the bottom ordering).

--
Pedro Fortuny Ayuso
C/Capuchinos 14, 1. 47006 Valladolid. SPAIN
http://pfortuny.sdf-eu.org

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Hi,<br><br>I am new to the quizzes and also more or less new to ruby. I would appreciate any comments on my &quot;unrubyness&quot;, and thanks in advance. I prefer 1&lt;&lt;n to 2**n although I guess they are implemented similarly.
<br><br>I am attaching my solution.<br>Let n be the number of participants and k be the power of 2 following n (or n if it is a power of 2). Let pg2(k).<br>The tournament (in my code) is understood as a binary tree *of &quot;expected&quot; matches* starting with the final (expected to be [1,2] the best against the second-best). Assume we have computed all the matches up to level i-1 (i are the semi-finals, i0quarter-finals...), which are r *(i-1) matches: m_1, ..., m_r (notice I start counting at 1). Let us compute the i-level matches, which are 2**i, call them n_1,...,n_2r . The algorithm is:
<br>Let&nbsp; l l_1,...,l_2r)  m_11, m_12, m_21, m_22, ..., m_r2) the list of players at level i-1 ordered as the matches say (i.e., in the semi-finals: (1,4,2,5)<br><br>Let INDEX  **(i)+1<br>Let j  <br>STEP:<br>&nbsp;Match n_j  l_j, OP_j] where l_j + OP_j  NDEX
<br>&nbsp;j++<br>&nbsp;GOTO STEP unless j &gt; 2r<br>return (n_1,...,n2r)<br><br>Actually, one can do a better ordering (which puts 1 at the top and 2 at the bottom of every tree), which is what I have implemented.<br>In my code, the complete tournament is kept in memory as a list of
<br>1 + 2 +... +2**p<br>matches. Different levels (i) can be distinguished by starting to count at 2**(i-1)-1<br><br>As you will see, the code looks somewhat hackish because there are too many 2** and off-by-one counts. However, I think this preserves the &quot;natural&quot; structure of the data without using strong stuff like nested lists of different lengths, etc... (And it is obviously more challenging to program this way
<br>:)<br><br>If you create a Tournament with a number, you get the numbers as the labels. If you create it with a list, it is understood as an ordered (according to rank) list of the participants. Labels (and emptpy spaces) are then given the maximum length of the names.
<br><br>Example:<br>&nbsp; one|&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <br>&nbsp;&nbsp;&nbsp;&nbsp; |-----|<br>&nbsp;four|&nbsp;&nbsp;&nbsp;&nbsp; |<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; |-----<br>three|&nbsp;&nbsp;&nbsp;&nbsp; |<br>&nbsp;&nbsp;&nbsp;&nbsp; |-----|<br>&nbsp; two|&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <br><br>(notice the &quot;nice&quot; 1-at the top 2-at the bottom ordering).<br><br><br>
-- <br>Pedro Fortuny Ayuso<br>C/Capuchinos 14, 1. 47006 Valladolid. SPAIN<br><a hrefttp://pfortuny.sdf-eu.org">http://pfortuny.sdf-eu.org</a>

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