Reference no: EM131121633
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The game starts out with n leprechauns. Each leprechaun starts out with a million dollars of gold (i.e., gi = 1,000,000). The player wants to trap as many of these leprechauns in a pit and steal their gold! The leprechauns are all in a row, with each leprechaun at location xi, a double precision floating point number. Initially, the first leprechaun is at x=0, the second at x=1,000,000, ...; i.e., xi = i*gi, i=0,1,2,....
At every iteration of the simulation, the leprechauns are processed in strict order from i=0,1,2,... The processing of a leprechaun involves these steps:
The leprechaun jumps to a new location xi + r * gi, where r is a random number between -1 and 1.
There is a pit located between -1,000 and 1,000. If -1000 < xi < 1000, then that leprechaun is trapped forever (does not participate in the game anymore) and all his gold is added to the player's score (the player starts with score=0).
If a leprechaun lands right on top of another (k), then the newly arrived leprechaun steals all the gold from k, and the bankrupt leprechaun k exits the game.
The leprechaun then steals half the gold from the nearest leprechauns to his right and left, if he indeed has both neighbours. (If the position moved to is either the largest or smallest value of all xi, then there is only one neighbour that is nearest. In this case he steals half the gold from this nearest neighbour).
The game ends after a fixed period of time (e.g., 20 seconds), at which point the final score is displayed.
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