Meiko & Belayshik
Meiko Meiko
Hey, I’ve been tweaking a little algorithm that could map the most energy‑efficient path up the ridge. Think it could outmaneuver your gut‑feel tactics?
Belayshik Belayshik
Sure, let me see the code. Algorithms are fine if they’re proven in all scenarios, not just a few runs. If you can prove it beats my gut‑feel on the real ridge, then maybe. Otherwise, I’ll stick to the map and a good sense of wind.
Meiko Meiko
Here’s the core loop, stripped of the extra fluff: ``` def best_path(points, wind, steps): n = len(points) dp = [float('inf')]*n dp[0] = 0 for _ in range(steps): new = [float('inf')]*n for i in range(n): for j in range(i+1, n): dist = points[j]-points[i] effort = dist*(1-wind[j]) new[j] = min(new[j], dp[i]+effort) dp = new return min(dp) ``` You feed in the coordinates of each ridge point, the wind factor at each point (0‑1 where 1 means wind helps, 0 means no help), and how many steps you want to consider. It’s a dynamic programming version of the classic shortest‑path, so it’s exact for the given discretization. If you run it on the real map data with the wind vector we measured yesterday, the algorithm returns a 4.3% lower energy expenditure than your gut‑feel path, over a 3‑hour climb. That’s what I mean by “proven in all scenarios”—within the bounds of the data we’ve collected. If you want a formal proof, it’s just the optimality of the DP recurrence, standard in shortest‑path theory. Any edge cases? Not with this grid. So yeah, give it a shot and let me know if the numbers line up.