Life is a Test: A Series of Pony Logic Puzzles

by Brony_of_Brody

The Answer 16

Twilight needs to organise 12,186 matches.

In a tournament like this one, when one team loses they are out, so to produce one winner you'd need 12,186 matches to produce 12,186 losers.

Comments

[Andy Ray]

Well, if the loser is out... then...

12 187 = 8 192 + 2048 + 1024 + 512 + 256 + 128 + 16 + 8 + 2 + 1.
Match 1 leaves: 4096 + 1024 + 512 + 256 + 128 + 64 + 8 + 4 + (1 + 1);
Match 2 leaves: 2048 + 512 + 256 + 128 + 64 + 32 + 4 + 2 + 1;
Match 3 leaves: 1024 + 256 + 128 + 64 + 32 + 16 + 2 + (1 + 1);
Match 4 leaves: 512 + 128 + 64 + 32 + 16 + 8 + (1 + 1);
Match 5 leaves: 256 + 64 + 32 + 16 + 8 + 4 + 1;
Match 6 leaves: 128 + 32 + 16 + 8 + 4 + 2 + 1;
Match 7 leaves: 64 + 16 + 8 + 4 + 2 + (1 + 1);
Match 8 leaves: 32 + 8 + 4 + 2 + (1 + 1);
Match 9 leaves: 16 + 4 + 2 + (1 + 1);
Match 10 leaves: 8 + 2 + (1 + 1);
Match 11 leaves: 4 + (1 + 1);
Match 12 leaves: 2 + 1;
Match 13 leaves: 1 + 1;
Match 14 leaves: 1.

Am I right or what!