Datasets:
File size: 438 Bytes
93237a0 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | 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))
|