# Risk tournament - math puzzle

The great Risk tournament is organized again. This year there are 1000 contestants. Each game in the tournament is played with 4 people. After each game, there will be one winner which goes to the next round. In the next round again groups of 4 players are formed. If one does not get an exact multiple of 4 in this way, some of the players in this round are selected randomly. These players can go to the following round automatically. In the end there will be one winner. How many games will be played?

# Cigarettes - logic puzzle

Two men are sitting around a round table. They both have an infinite amount of cigarettes. The men are going to play a game. Each turn they have to lie down one cigarette on the table. The rules are simple: two cigarettes may never touch each other and the game will end when it is impossible to add another cigarette. The one who lies down the last cigarette has won. Who will win this game (suppose that both players play the best possibly move), the one who starts the game or the one who plays the second cigarette? |

# Self Ref - math puzzle

Find a number ABCDEFGHIJ such that A is the count of how many 0's are in the number, B is the number of 1's, and so on.