Datasets:
| from math import sqrt | |
| def volume(x): | |
| return x * (36 - 2 * x) * (24 - 2 * x) | |
| lo, hi = 0.0, 12.0 | |
| ratio = (sqrt(5) - 1) / 2 | |
| for _ in range(100): | |
| a = hi - ratio * (hi - lo) | |
| b = lo + ratio * (hi - lo) | |
| if volume(a) < volume(b): | |
| lo = a | |
| else: | |
| hi = b | |
| x = (lo + hi) / 2 | |
| result = {"cut_cm": round(x, 6), "volume_cm3": round(volume(x), 6)} | |
| import json | |
| print(json.dumps(result, ensure_ascii=False, sort_keys=True)) | |