solved project euler 089 ftw

db4
Doug Coleman 2009-11-06 01:49:33 -06:00
parent 5f33a3e44b
commit 9e939a4dad
5 changed files with 1054 additions and 1 deletions

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@ -17,7 +17,7 @@ CONSTANT: roman-values
ERROR: roman-range-error n ;
: roman-range-check ( n -- n )
dup 1 3999 between? [ roman-range-error ] unless ;
dup 1 10000 between? [ roman-range-error ] unless ;
: roman-digit-index ( ch -- n )
1string roman-digits index ; inline

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USING: project-euler.089 tools.test ;
IN: project-euler.089.tests
[ 743 ] [ euler089 ] unit-test

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! Copyright (c) 2009 Doug Coleman.
! See http://factorcode.org/license.txt for BSD license.
USING: io.encodings.ascii io.files kernel math
project-euler.common roman sequences ;
IN: project-euler.089
! http://projecteuler.net/index.php?section=problems&id=089
! DESCRIPTION
! -----------
! The rules for writing Roman numerals allow for many ways of writing
! each number (see FAQ: Roman Numerals). However, there is always a
! "best" way of writing a particular number.
! For example, the following represent all of the legitimate ways of
! writing the number sixteen:
! IIIIIIIIIIIIIIII
! VIIIIIIIIIII
! VVIIIIII
! XIIIIII
! VVVI
! XVI
! The last example being considered the most efficient, as it uses
! the least number of numerals.
! The 11K text file, roman.txt (right click and 'Save Link/Target As...'),
! contains one thousand numbers written in valid, but not necessarily
! minimal, Roman numerals; that is, they are arranged in descending units
! and obey the subtractive pair rule (see FAQ for the definitive rules
! for this problem).
! Find the number of characters saved by writing each of these in their minimal form.
! SOLUTION
! --------
: euler089 ( -- n )
"resource:extra/project-euler/089/roman.txt" ascii file-lines
[ ] [ [ roman> >roman ] map ] bi
[ [ length ] map-sum ] bi@ - ;
! [ euler089 ] 100 ave-time
! 14 ms ave run time - 0.27 SD (100 trials)
SOLUTION: euler089

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Doug Coleman

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