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# st: Challenging problem.

 From "Victor Zammit" <[email protected]> To <[email protected]> Subject st: Challenging problem. Date Thu, 22 Mar 2012 14:23:27 +0100

```Dear Stata Users,

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The following is a table,representing the results five counts in a local election with 1352 valid ballots.
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The electing quota for a candidate was 320.Candidate #3,can_3,is elected in the first count,c1,
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with first preference.The extra votes,721-320 = 401,get distributed proportionately to
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```
can c1 c2 c3 c4 c5

can_1 295 423 423 320 320

can_2 20 39 58 90 0

can_3 721 320 320 320 320

can_4 253 442 320 320 320

can_5 63 102 203 270 356

n-t.v. 0 26 28 32 36

total 1352 1352 1352 1352 1352

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Subtracting c1 from c2, gives the proportinate amounts that were distributed to the other
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candidates and the proportionate amount of the non-transferable votes,n-t.v.,from which,can be
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derived the second prefernce that each candidate and non transferables ,receive.
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pref_2 = [[ c2-c1]/401] * 721, format pref_2 %3.0f .

can c1 c2 p_dist pref_2

can_1 295 423 128 230

can_2 20 39 19 34

can_3 721 320 0 0

can_4 253 442 189 340

can_5 63 102 39 70

n-t.v. 0 26 26 47

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The extra over 320 for can_4 and after that,can_1,are dealt with similarly.In the fourth count,
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the accumulation of 90 votes for can_2,are distributed directly on can_5 and n-t.v. .
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Given this information,is it possible to simulate the 1352 ballots?.I appreciate any feedback..
```
Victor Zammit

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```