USING: kernel math math.parser project-euler.common sequences ;
IN: project-euler.057
-! https://projecteuler.net/index.php?section=problems&id=57
+! https://projecteuler.net/problem=57
! DESCRIPTION
! -----------
-! It is possible to show that the square root of two can be expressed
-! as an infinite continued fraction.
+! It is possible to show that the square root of two can be
+! expressed as an infinite continued fraction.
! √ 2 = 1 + 1/(2 + 1/(2 + 1/(2 + ... ))) = 1.414213...
! 1 + 1/(2 + 1/(2 + 1/2)) = 17/12 = 1.41666...
! 1 + 1/(2 + 1/(2 + 1/(2 + 1/2))) = 41/29 = 1.41379...
-! The next three expansions are 99/70, 239/169, and 577/408, but the
-! eighth expansion, 1393/985, is the first example where the number of
-! digits in the numerator exceeds the number of digits in the
-! denominator.
+! The next three expansions are 99/70, 239/169, and 577/408, but
+! the eighth expansion, 1393/985, is the first example where the
+! number of digits in the numerator exceeds the number of digits
+! in the denominator.
-! In the first one-thousand expansions, how many fractions contain a
-! numerator with more digits than denominator?
+! In the first one-thousand expansions, how many fractions
+! contain a numerator with more digits than denominator?
! SOLUTION
! --------