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perf: keep Euler 135 arithmetic integral #14990

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perf: keep Euler 135 arithmetic integral #14990

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6 changes: 4 additions & 2 deletions project_euler/problem_135/sol1.py
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Original file line number Diff line number Diff line change
Expand Up @@ -35,11 +35,13 @@ def solution(limit: int = 1000000) -> int:
frequency = [0] * limit
for first_term in range(1, limit):
for n in range(first_term, limit, first_term):
common_difference = first_term + n / first_term
# n is generated as a multiple of first_term, so keep this path
# entirely integral instead of creating a float for every pair.
common_difference = first_term + n // first_term
if common_difference % 4: # d must be divisible by 4
continue
else:
common_difference /= 4
common_difference //= 4
if (
first_term > common_difference
and first_term < 4 * common_difference
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