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Link: <https://adventofcode.com/2023/day/17> <br> | ||
Author: Eric Wastl ([@ericwastl](https://twitter.com/ericwastl)) (2023) | ||
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--- | ||
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## --- Day 17: Clumsy Crucible --- | ||
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The lava starts flowing rapidly once the Lava Production Facility is operational. As you , the reindeer offers you a parachute, allowing you to quickly reach Gear Island. | ||
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As you descend, your bird's-eye view of Gear Island reveals why you had trouble finding anyone on your way up: half of Gear Island is empty, but the half below you is a giant factory city! | ||
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You land near the gradually-filling pool of lava at the base of your new **lavafall**. Lavaducts will eventually carry the lava throughout the city, but to make use of it immediately, Elves are loading it into large [crucibles](https://en.wikipedia.org/wiki/Crucible) on wheels. | ||
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The crucibles are top-heavy and pushed by hand. Unfortunately, the crucibles become very difficult to steer at high speeds, and so it can be hard to go in a straight line for very long. | ||
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To get Desert Island the machine parts it needs as soon as possible, you'll need to find the best way to get the crucible **from the lava pool to the machine parts factory**. To do this, you need to minimize **heat loss** while choosing a route that doesn't require the crucible to go in a **straight line** for too long. | ||
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Fortunately, the Elves here have a map (your puzzle input) that uses traffic patterns, ambient temperature, and hundreds of other parameters to calculate exactly how much heat loss can be expected for a crucible entering any particular city block. | ||
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For example: | ||
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``` | ||
2413432311323 | ||
3215453535623 | ||
3255245654254 | ||
3446585845452 | ||
4546657867536 | ||
1438598798454 | ||
4457876987766 | ||
3637877979653 | ||
4654967986887 | ||
4564679986453 | ||
1224686865563 | ||
2546548887735 | ||
4322674655533 | ||
``` | ||
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Each city block is marked by a single digit that represents the **amount of heat loss if the crucible enters that block**. The starting point, the lava pool, is the top-left city block; the destination, the machine parts factory, is the bottom-right city block. (Because you already start in the top-left block, you don't incur that block's heat loss unless you leave that block and then return to it.) | ||
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Because it is difficult to keep the top-heavy crucible going in a straight line for very long, it can move **at most three blocks** in a single direction before it must turn 90 degrees left or right. The crucible also can't reverse direction; after entering each city block, it may only turn left, continue straight, or turn right. | ||
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One way to **minimize heat loss** is this path: | ||
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``` | ||
2>>34^>>>1323 | ||
32v>>>35v5623 | ||
32552456v>>54 | ||
3446585845v52 | ||
4546657867v>6 | ||
14385987984v4 | ||
44578769877v6 | ||
36378779796v> | ||
465496798688v | ||
456467998645v | ||
12246868655<v 25465488877v5="" 43226746555v=""> | ||
</v> | ||
``` | ||
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This path never moves more than three consecutive blocks in the same direction and incurs a heat loss of only **`102`**. | ||
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Directing the crucible from the lava pool to the machine parts factory, but not moving more than three consecutive blocks in the same direction, **what is the least heat loss it can incur?** |
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