//------------------------------//
// The Friendship Games Has Too Much Money 
// Story: Life is a Test: A Series of Pony Logic Puzzles 
// by Brony_of_Brody 
//------------------------------//

The Friendship Games has come around again, and Twilight Sparkle has been asked to help organise the upcoming Hoofball Tournament, pitting all manner of creatures with hooves against one another for international glory.

This year, however, owing to a frankly irresponsible error on the part of the Canterlot Tax Office, the Games has an incredibly large budget for the year and Twilight discovers, to her astonishment, that they are allowing even amateur teams to compete this year, partially to promote the unity theme going on, and partially because all that money needs to go somewhere. Even the Cutie Mark Crusaders managed to pull together a team with the intent of competing against grown adults for the cup.

By allowing just anypony and everypony to compete if they can get a team together, Twilight discovers that there are exactly 12,187 teams competing in the tournament this year. After the poor alicorn princess has managed to come around from fainting (by Spike waving a first edition copy of Jeremy Brenthoof's works under her muzzle), she now has to get started organising the matches. 

The tournament is a simple knockout style competition, and with so many teams taking part, there's bound to be quite a lot of matches to play and little time to do it.

So, how many matches need to be played (byes do not counts as matches)?