Busy beaver

The Busy Beaver Game consists of designing a halting, binary-alphabet Turing Machine which writes the most 1s on the tape, using only a limited set of states. The rules for the 2-state game are as follows: (i) the machine must have two states in addition to the halting state, and (ii) the tape starts with 0s only. As the player, you should conceive each state aiming for the maximum output of 1s on the tape while making sure the machine will halt eventually.

Busy beaver

The Busy Beaver Game consists of designing a halting, binary-alphabet Turing Machine which writes the most 1s on the tape, using only a limited set of states. The rules for the 2-state game are as follows: (i) the machine must have two states in addition to the halting state, and (ii) the tape starts with 0s only. As the player, you should conceive each state aiming for the maximum output of 1s on the tape while making sure the machine will halt eventually.