This topic is all about the levels titled "We All Fall Down" (hereafter, WAFD) from the original games. These levels follow a simple formula and yet are highly sensitive to variations (just look at the versions where safe-fall distance is a little higher
), so I thought it might be fun to tweak the level in various ways and see what you can do.
Predictably, this idea arose from a discussion on IRC
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If there were unlimited lemmings, diggers, and time, how many lemmings could you save? (DOS physics)
The limiting factor here is the length of the platform. I propose the following setup to maximise the number of lemmings saved per column of platform removed:
- Release 11 lemmings at RR99 (intervals of 4 frames)
- First lemming digs at the second-to-last column. (If you dig at the last column, the next two lemmings have to dig here too and they go through the platform too quickly.)
- Second and third lemmings dig at the last column, to save themselves. (The first lemming still has a pixel at the left to hang on to.)
Three diggers - the first in the second-from-right column, and the next two in the rightmost column.This method saves 11 lemmings per 6 columns of platform, or 1.83 lemmings per column. If you start your digger at the extreme right, you only get 1.80 (9 per 5 columns). The overlap between the upper and lower platforms is 511 columns, so you can repeat this 85 times for 935 lemmings saved.
But we're not done yet. There's still one column left! You can dig on this and the digger will survive - but you can't do the second-last-column setup as before, and you lose a few frames at the end because the digger's range extends to the left of the lower platform. However, you can still save 9 lemmings with the above-mentioned method of digging right at the edge - the 9th lemming makes it just in time. (The 10th lemming in this setup gets there just too late to use the ledge - otherwise we'd use this setup all along and save 1030 lemmings!)
So in all we save 935 + 9 =
944 lemmings, using 258 diggers. The time taken is about 4 minutes 20 seconds.