# problem 26
# recipricol cycles

"""
A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given:

1/2	 = 0.5
1/3	 = 0.(3)
1/4	 = 0.25
1/5	 = 0.2
1/6	 = 0.1(6)
1/7	 = 0.(142857)
1/8	 = 0.125
1/9  = 0.(1)
1/10 = 0.1
Where 0.1(6) means 0.166666..., and has a 1-digit recurring cycle. It can be seen that 1/7 has a 6-digit recurring cycle.

Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part.
"""
import decimal
decimal.getcontext().prec = 100
print(decimal.Decimal(1/999), decimal.Decimal(1/998))

cycle_length 0
while x:
    break
# problem 26
# recipricol cycles

"""
A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given:

1/2	 = 0.5
1/3	 = 0.(3)
1/4	 = 0.25
1/5	 = 0.2
1/6	 = 0.1(6)
1/7	 = 0.(142857)
1/8	 = 0.125
1/9  = 0.(1)
1/10 = 0.1
Where 0.1(6) means 0.166666..., and has a 1-digit recurring cycle. It can be seen that 1/7 has a 6-digit recurring cycle.

Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part.
"""
import decimal
decimal.getcontext().prec = 100
print(decimal.Decimal(1/999), decimal.Decimal(1/998))

cycle_length 0
while x:
    break
# problem 26 # recipricol cycles A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given:  1/2	 = 0.5 1/3	 = 0.(3) 1/4	 = 0.25 1/5	 = 0.2 1/6	 = 0.1(6) 1/7	 = 0.(142857) 1/8	 = 0.125 1/9  = 0.(1) 1/10 = 0.1 Where 0.1(6) means 0.166666..., and has a 1-digit recurring cycle. It can be seen that 1/7 has a 6-digit recurring cycle.  Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part.