Ran your strategy 162 times with autoit of which the following blocks came by: [128]: 150 times, [256]: 36 times, [512]: 13 times, [1024]: 0 times. Anyone else a good suggestion for an optimal "blind" strategy?
Also about your autoit "analysis" 36 + 150 + 13 != 162
Anyway managed to get to 1024 + 512 + 256 after that without random button mashing.