Yes, exactly. In this situation, the 'right' thing to do is not stand there logically debating the correct moal action, it is to hack into the computer the night before and alter the scenario such that you can save everyone.

In other words, the correct moral answer is to use all available time trying to save everyone. Failing that, and with no time left for logical reasoning, the decision to save one over the other becomes emotional, illogical, instinctive, human...

The question is wrong.