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euler/python/e231.py
T
2026-07-18 08:44:42 -04:00

26 lines
720 B
Python

from lib_prime import prime_factors_count
from collections import defaultdict
def sum_factors(n: int, k: int) -> int:
factors_num = defaultdict(int)
for i in range(n - k + 1, n + 1):
for factor, count in prime_factors_count(i).items():
factors_num[factor] += count
for i in range(2, k + 1):
for factor, count in prime_factors_count(i).items():
factors_num[factor] -= count
return sum(factor * count for factor, count in factors_num.items())
def euler_231():
assert sum_factors(10, 3) == 14
return sum_factors(20 * 10**6, 15 * 10**6)
if __name__ == "__main__":
solution = euler_231()
print(f"e231.py: {solution}")
# assert(solution == 0)