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Notes -
I can imagine a failure mode in that they could all discuss amongst themselves and agree to vote unanimously in favor of a painless method that creates gruesome results, in order to further discredit death penalty.
I'd say tell them that half of the people rounded up will be executed by the top method and the other half with the runner up. Do the executions one at a time, forcing the whole group to watch, alternating methods. After each two execution, have every one vote which one seemed to be the best, telling them that if either method gets a clear lead over the other (over 2/3 votes after at least 3 rounds / 6 executions), then everyone will get executed all at once with that method. Once that clear lead criteria is achieved, pardon everyone left.
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