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euler033.py
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euler033.py
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from euler import timer, gcd
from decimal import Decimal
@timer
def euler33():
nominators = 1
denominators = 1
for a in range(10, 100):
for b in range(a + 1, 100):
if a % 10 == 0 and b % 10 == 0:
continue
value = Decimal(a) / Decimal(b)
a_str = str(a)
b_str = str(b)
a0 = int(a_str[0])
b0 = int(b_str[0])
a1 = int(a_str[1])
b1 = int(b_str[1])
if b0 == 0 or b1 == 0:
continue
if Decimal(a0) / Decimal(b0) == value and a1 == b1:
nominators *= a
denominators *= b
if Decimal(a0) / Decimal(b1) == value and a1 == b0:
nominators *= a
denominators *= b
if Decimal(a1) / Decimal(b0) == value and a0 == b1:
nominators *= a
denominators *= b
if Decimal(a1) / Decimal(b1) == value and a0 == b0:
nominators *= a
denominators *= b
denominators //= gcd(nominators, denominators)
print(denominators)
euler33()