Let us assume that KittyCats made no error and the OP results are correct.
We can see, from the OP results, that the first unknown is the person who came in with score 4 in the judging.
And we can see, from the OP results, that the unknown public-votes scores are 1, 4, 8 and 9.
So, that entrant had possible scores of 4+1=6, 4+4=8, 4+8=12 or 4+9=13.
4+9=13 we can eliminate since it requires KittyCats to have made an error and this entrant should have come in 2nd.
4+8=12 can also be eliminated since it requires KittyCats to have made an error and this entrant should have tied for 2nd.
4+4=8 can also be eliminated since it requires KiityCats to have made an error and this entrant should have tied for 3rd.
Therefore, the entrant scored 4 by the judging scored 1 in the public voting.
We can therefore extend the OP results as follows:
Code:
9+6=15 1st
8+7=15 1st
7+5=12 2nd
6+2=8 3rd
5+3=8 3rd
4+1=5 4th
Leaving six possible outcomes for the remaining three places.
Code:
3+4=7 4th 3+4=7 4th 3+8=11 4th 3+8=11 4th 3+9=12 4th 3+9=12 4th
2+8=10 4th 2+9=11 4th 2+4=8 5th 2+9=11 4th 2+4=6 5th 2+8=10 5th
1+9=10 4th 1+8=9 5th 1+9=10 5th 1+4=5 5th 1+8=9 5th 1+4=5 6th
None of these six violate the original assumption of no error by KittyCatS.
To propose any other results from this competition requires starting with the assumption that KittyCats did, in fact, make an error.
Given the length of this conversation, it seems reasonable that KittyCats would have re-validated their results and, since they have not posted any correction nor contacted the entrants about any correction, it is reasonable to assume that their follow-up posts that the results were, in fact, correct.
So the question is simple:
* do you want to insist that KittyCatS made an error, with no evidence they did, or
* are you willing to accept they did not when a complete analysis shows the results stated in the OP can be easily be correct?
You're free to stand by your unfounded insistence that KittyCats made an error.
I'm simply stating that starting with the assumption they are fair and honest and did not make an error is easily shown.