<ul><li>Today's Advent of Code 2024 Day 10 puzzle involves a 2D grid and multiple paths. Depth-first search is essential in solving this puzzle.</li><li>Every point on the map is a single-digit integer indicating its height, ranging from 0 to 9.</li><li>Each step along a trail must increase the height by exactly 1.</li><li>The functions 'parse' and 'find_trailheads' help in identifying trailheads and increasing the height by 1.</li><li>The algorithm starts at the root node and explores as far as possible along each branch before backtracking.</li><li>The climb function in this puzzle's case traverses by ascending one-height level at a time from a trailhead.</li><li>This depth-first search implementation returns all possible trails from each trailhead to the peak.</li><li>Part 1 requires us to find the total number of unique peak destinations reachable from all trailheads using the climb function.</li><li>Part 2 asks for the total number of unique trails between all trailhead-peak pairs, which is the sum of the number of trails for each key.</li><li>The code performs within a reasonable timeframe, reflecting valuable learning experience.</li></ul>

Climbing a depth-first search hill, Advent of Code 2024, day 10

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