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minimum-cuts-to-divide-a-circle.py
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# 2481. Minimum Cuts to Divide a Circle
# 🟢 Easy
#
# https://leetcode.com/problems/minimum-cuts-to-divide-a-circle/
#
# Tags: Math - Geometry
import timeit
# If n == 1, we do not need to cut, otherwise, if the number is uneven
# we need to make n radial cuts, but if n is uneven, we can make edge
# to edge cuts, diametral, and we only need n // 2 of them.
#
# Time complexity: O(1)
# Space complexity: O(1)
#
# Runtime: 59 ms, faster than 40.00%
# Memory Usage: 13.9 MB, less than 20.00%
class Solution:
def numberOfCuts(self, n: int) -> int:
if n % 2:
return n if n != 1 else 0
return n // 2
def test():
executors = [Solution]
tests = [
[1, 0],
[3, 3],
[4, 2],
]
for executor in executors:
start = timeit.default_timer()
for _ in range(1):
for col, t in enumerate(tests):
sol = executor()
result = sol.numberOfCuts(t[0])
exp = t[1]
assert result == exp, (
f"\033[93m» {result} <> {exp}\033[91m for"
+ f" test {col} using \033[1m{executor.__name__}"
)
stop = timeit.default_timer()
used = str(round(stop - start, 5))
cols = "{0:20}{1:10}{2:10}"
res = cols.format(executor.__name__, used, "seconds")
print(f"\033[92m» {res}\033[0m")
test()