Types of neutral kaon decays

Before you play the game, we must explain how someone should view the pictures and what everything on the pictures mean.

The blue area is called the "Barrel Veto" and is able to detect charged particles such as positrons (e+), pions, and electrons. Solid lines are used to show the different paths of the charged particles as they go into the "Barrel Veto" and are detected. In some of the decays, there will be neutrinos and antineutrinos given off (shown as thin solid line and a "v" type Greek letter called "nu"). These usually are undetected and can pass through the "Barrel Veto." The gammas (shown as dotted lines) pass through the red area called the "Preradiator" and initiate "showers." The EM in the yellow section stands for "electromagnetic". In the EM calorimeter, the remainder of each gamma "shower" is contained because the calorimeter is more dense and deeper. Gammas in the shower convert into electron pairs and the electrons radiate more gammas. The "EM shower" continues until all gammas have converted and all electrons and positrons have been collected. When gammas from unwanted events enter the "Barrel Veto," they will shower.
So here are the different decays that are used in the Game:

K neutral--> pi neutral(-->2 gammas), neutrino, antineutrino *
                       pi minus, positron (e+), neutrino
                       2 pi neutrals (--> 4 gammas)
                       pi plus, electron, neutrino
                       pi plus, pi minus
                       pi plus, pi minus, pi neutral (--> 2 gammas)

*(KOPIO decay)*