Improve project-euler.150

db4
Eric Mertens 2008-04-16 10:30:03 -07:00
parent 3483317cfb
commit a25c7e1842
1 changed files with 27 additions and 29 deletions

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@ -1,46 +1,44 @@
USING: kernel math math.ranges math.parser sequences io locals namespaces ; ! Copyright (c) 2008 Eric Mertens
! See http://factorcode.org/license.txt for BSD license.
USING: kernel math sequences locals ;
IN: project-euler.150 IN: project-euler.150
: next-t ( t -- t' ) <PRIVATE
615949 * 797807 + 1 20 shift rem ; inline
: next-s ( t -- s ) ! sequence helper functions
1 19 shift - ; inline
: generate ( -- seq )
0 500500 [ drop next-t dup next-s ] map nip ;
: start-index ( i -- n )
dup 1- * 2/ ; inline
: partial-sums ( seq -- seq ) : partial-sums ( seq -- seq )
0 [ + ] accumulate swap suffix ; inline 0 [ + ] accumulate swap suffix ; inline
: as-triangle ( i seq -- slices ) : generate ( n quot -- seq )
swap [1,b] [ [ start-index dup ] keep + rot <slice> ] with map ; [ drop ] swap compose map ; inline
: sums-triangle ( -- seqs ) : map-infimum ( seq quot -- min )
1000 generate as-triangle [ partial-sums ] map ; [ min ] compose 0 swap reduce ; inline
SYMBOL: best
: check-best ( i -- ) ! triangle generator functions
best [ min ] change ; inline
: next ( t -- new-t s )
615949 * 797807 + 1 20 shift mod dup 1 19 shift - ; inline
: sums-triangle ( -- seq )
0 1000 [ 1+ [ next ] generate partial-sums ] map nip ;
PRIVATE>
:: (euler150) ( m -- n ) :: (euler150) ( m -- n )
[ [let | table [ sums-triangle ] | [let | table [ sums-triangle ] |
0 best set
m [| x | m [| x |
x 1+ [| y | x 1+ [| y |
1000 x - [| z | m x - [| z |
x z + table nth x z + table nth
[ y z + 1+ swap nth ] [ y swap nth ] bi - [ y z + 1+ swap nth ]
] map partial-sums infimum check-best [ y swap nth ] bi -
] each ] map partial-sums infimum
] each ] map-infimum
] ] map-infimum
best get ] with-scope ; ] ;
: euler150 ( -- n ) : euler150 ( -- n )
1000 (euler150) ; 1000 (euler150) ;