]> gitweb.factorcode.org Git - factor.git/commitdiff
Solution to Project Euler problem 62
authorGuillaume Nargeot <killy971@gmail.com>
Mon, 26 Oct 2009 12:17:06 +0000 (21:17 +0900)
committerGuillaume Nargeot <killy971@gmail.com>
Mon, 26 Oct 2009 12:17:06 +0000 (21:17 +0900)
extra/project-euler/062/062-tests.factor [new file with mode: 0644]
extra/project-euler/062/062.factor [new file with mode: 0644]
extra/project-euler/062/authors.txt [new file with mode: 0644]
extra/project-euler/project-euler.factor

diff --git a/extra/project-euler/062/062-tests.factor b/extra/project-euler/062/062-tests.factor
new file mode 100644 (file)
index 0000000..d8e0b96
--- /dev/null
@@ -0,0 +1,4 @@
+USING: project-euler.062 tools.test ;
+IN: project-euler.062.tests
+
+[ 127035954683 ] [ euler062 ] unit-test
diff --git a/extra/project-euler/062/062.factor b/extra/project-euler/062/062.factor
new file mode 100644 (file)
index 0000000..037cdc1
--- /dev/null
@@ -0,0 +1,54 @@
+! Copyright (c) 2009 Guillaume Nargeot.
+! See http://factorcode.org/license.txt for BSD license.
+USING: arrays assocs hashtables kernel math math.functions
+project-euler.common sequences sorting ;
+IN: project-euler.062
+
+! http://projecteuler.net/index.php?section=problems&id=062
+
+! DESCRIPTION
+! -----------
+
+! The cube, 41063625 (345^3), can be permuted to produce two
+! other cubes: 56623104 (384^3) and 66430125 (405^3). In
+! fact, 41063625 is the smallest cube which has exactly three
+! permutations of its digits which are also cube.
+
+! Find the smallest cube for which exactly five permutations of
+! its digits are cube.
+
+
+! SOLUTION
+! --------
+
+<PRIVATE
+
+: cube ( n -- n^3 ) 3 ^ ; inline
+: >key ( n -- k ) cube number>digits natural-sort ; inline
+: has-entry? ( n assoc -- ? ) [ >key ] dip key? ; inline
+
+: (euler062) ( n assoc -- n )
+    2dup has-entry? [
+        2dup [ >key ] dip
+        [ dup 0 swap [ 1 + ] change-nth ] change-at
+        2dup [ >key ] dip at first 5 =
+        [ 
+            [ >key ] dip at second
+        ] [
+            [ 1 + ] dip (euler062)
+        ] if
+    ] [
+        2dup 1 pick cube 2array -rot
+        [ >key ] dip set-at [ 1 + ] dip
+        (euler062)
+    ] if ;
+
+PRIVATE>
+
+: euler062 ( -- answer )
+    1 1 <hashtable> (euler062) ;
+
+! [ euler062 ] 100 ave-time
+! 78 ms ave run time - 0.9 SD (100 trials)
+
+SOLUTION: euler062
diff --git a/extra/project-euler/062/authors.txt b/extra/project-euler/062/authors.txt
new file mode 100644 (file)
index 0000000..6eb6698
--- /dev/null
@@ -0,0 +1 @@
+Guillaume Nargeot
index e64bd618522f3b2c8b541134e5b1f4fe318a3916..66f42968273d3fd6466e88cbf088d04efa9e9cdd 100644 (file)
@@ -16,16 +16,16 @@ USING: definitions io io.files io.pathnames kernel math math.parser
     project-euler.045 project-euler.046 project-euler.047 project-euler.048
     project-euler.049 project-euler.051 project-euler.052 project-euler.053
     project-euler.054 project-euler.055 project-euler.056 project-euler.057
-    project-euler.058 project-euler.059 project-euler.063 project-euler.065
-    project-euler.067 project-euler.069 project-euler.071 project-euler.072
-    project-euler.073 project-euler.074 project-euler.075 project-euler.076
-    project-euler.079 project-euler.081 project-euler.085 project-euler.092
-    project-euler.097 project-euler.099 project-euler.100 project-euler.102
-    project-euler.112 project-euler.116 project-euler.117 project-euler.124
-    project-euler.134 project-euler.148 project-euler.150 project-euler.151
-    project-euler.164 project-euler.169 project-euler.173 project-euler.175
-    project-euler.186 project-euler.188 project-euler.190 project-euler.203
-    project-euler.215 ;
+    project-euler.058 project-euler.059 project-euler.062 project-euler.063
+    project-euler.065 project-euler.067 project-euler.069 project-euler.071
+    project-euler.072 project-euler.073 project-euler.074 project-euler.075
+    project-euler.076 project-euler.079 project-euler.081 project-euler.085
+    project-euler.092 project-euler.097 project-euler.099 project-euler.100
+    project-euler.102 project-euler.112 project-euler.116 project-euler.117
+    project-euler.124 project-euler.134 project-euler.148 project-euler.150
+    project-euler.151 project-euler.164 project-euler.169 project-euler.173
+    project-euler.175 project-euler.186 project-euler.188 project-euler.190
+    project-euler.203 project-euler.215 ;
 IN: project-euler
 
 <PRIVATE