Solution to Project Euler problem 36

db4
Aaron Schaefer 2008-01-29 13:31:06 -05:00
parent 7b74afd043
commit f86f36794f
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! Copyright (c) 2008 Aaron Schaefer.
! See http://factorcode.org/license.txt for BSD license.
USING: combinators.lib kernel math.parser math.ranges sequences ;
IN: project-euler.036
! http://projecteuler.net/index.php?section=problems&id=36
! DESCRIPTION
! -----------
! The decimal number, 585 = 1001001001 (binary), is palindromic in both bases.
! Find the sum of all numbers, less than one million, which are palindromic in
! base 10 and base 2.
! (Please note that the palindromic number, in either base, may not include
! leading zeros.)
! SOLUTION
! --------
! Only check odd numbers since the binary number must begin and end with 1
<PRIVATE
: palindrome? ( str -- ? )
dup reverse = ;
: both-bases? ( n -- ? )
{ [ dup number>string palindrome? ]
[ dup >bin palindrome? ] } && nip ;
PRIVATE>
: euler036 ( -- answer )
1 1000000 2 <range> [ both-bases? ] subset sum ;
! [ euler036 ] 100 ave-time
! 3891 ms run / 173 ms GC ave time - 100 trials
MAIN: euler036

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@ -10,8 +10,9 @@ USING: definitions io io.files kernel math.parser sequences vocabs
project-euler.021 project-euler.022 project-euler.023 project-euler.024 project-euler.021 project-euler.022 project-euler.023 project-euler.024
project-euler.025 project-euler.026 project-euler.027 project-euler.028 project-euler.025 project-euler.026 project-euler.027 project-euler.028
project-euler.029 project-euler.030 project-euler.031 project-euler.032 project-euler.029 project-euler.030 project-euler.031 project-euler.032
project-euler.033 project-euler.034 project-euler.035 project-euler.067 project-euler.033 project-euler.034 project-euler.035 project-euler.036
project-euler.134 project-euler.169 project-euler.173 project-euler.175 ; project-euler.067 project-euler.134 project-euler.169 project-euler.173
project-euler.175 ;
IN: project-euler IN: project-euler
<PRIVATE <PRIVATE