This is obviously improper. The valid strategy for this game unfolds as follows.
Step 1: Guess 11111.
Step 2: Replace all grey cells with 0s.
Thank you for your careful consideration.
If you start with 0's you save a small amount of electricity. 1's use up more electricity - any electronic engineer will agree.
If you start with 0's you save a small amount of electricity. 1's use up more electricity - any electronic engineer will agree.