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Possibilities I can think of: Hairy wasn't using any criteria per se to restrict, narrow-down, or sort his lists for his depth-first search.
XKCD has done this to emphasis the joke; a real depth-first algorithm should have some means of evaluating that the current branch is a dead end or unlikely to approach a solution.
There's no easy way to shed that speed other than slamming into the atmosphere and letting it slow you down, but the entry is about four times faster than the Space Shuttle or Apollo Earth reentries.
Only the Galileo probe has survived a Jupiter atmospheric entry.
Thanks to Rayleigh scattering, the sky would be blue, and objects far off in the distance would fade to blue just like they do on Earth.
But since Jupiter is so huge, we might not see the clouds disappear over the horizon; the towers might just fade off into the distance.
Trying to figure out what Jupiter's clouds would look like from those pictures is like using this to reconstruct these. Author Michael Carroll has done a lot of thinking about planetary atmospheres, and his book Drifting on Alien Winds vividly describes of what it would be like to descend through Jupiter's clouds.
There's certainly more science value in visiting Europa than in satisfying our curiosity about the Jovian sky.
We could, I guess, try to do the same thing with a submarine—by mounting a giant heat shield on the front—but it would probably qualify as the most Kerbal vehicle ever built. The best pictures we have of Jupiter's atmosphere are probably these carefully processed mosaics of the Great Red Spot, but they're still taken from very far away.
At those resolutions, a huge Earth thunderstorm would appear as roughly one pixel.
Here's a rough sketch of what you'd see as you descended through the clouds; for more, definitely check out his book.
Jupiter's upper atmosphere (the part we would see before we died) has three main layers—an upper layer of haze and ammonia clouds, similar to cirrostratus clouds on Earth.