From 6a293786a67d88948a7ff1d1f180a65f65838af5 Mon Sep 17 00:00:00 2001 From: Neil Smith Date: Thu, 2 Mar 2017 11:30:45 +0000 Subject: [PATCH] Done puzzle 42 --- euler42.ipynb | 350 +++++++++++++++++++++++++++++++++++++++++++++++++ p042_words.txt | 1 + 2 files changed, 351 insertions(+) create mode 100644 euler42.ipynb create mode 100644 p042_words.txt diff --git a/euler42.ipynb b/euler42.ipynb new file mode 100644 index 0000000..5695b97 --- /dev/null +++ b/euler42.ipynb @@ -0,0 +1,350 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[\"A\", \"ABILITY\", \"ABLE\", \"ABOUT\", \"ABOVE\", \"ABSENCE\", \"ABSOLUTELY\", \"ACADEMIC\", \"ACCEPT\", \"ACCESS\", \"ACCIDENT\"]" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "words = File.read(\"p042_words.txt\").split(\",\").map {|w| w[1..-2]}\n", + "words[0..10]" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + ":grow" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "require 'singleton'\n", + "\n", + "class TriangleN\n", + " include Enumerable\n", + " include Singleton\n", + "\n", + " def initialize\n", + " @tns = [1]\n", + " end\n", + " \n", + " def is_triangle?(n)\n", + " self.grow(n)\n", + " @tns.include?(n)\n", + " end\n", + " \n", + " def grow(n)\n", + " while n > @tns[-1]\n", + " @tns += [(@tns.length+1) * (@tns.length+2) / 2]\n", + " end\n", + " end\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "#" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "trins = TriangleN.instance" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "true" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "trins.is_triangle? 10" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "false" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "trins.is_triangle? 11" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + ":triangle_sum?" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "class String\n", + " \n", + " @@triangles = TriangleN.instance\n", + " \n", + " def to_nums\n", + " self.chars.map {|c| c.ord - 'A'.ord + 1}\n", + " end\n", + " \n", + " def num_sum\n", + " self.to_nums.sum\n", + " end\n", + " \n", + " def triangle_sum?\n", + " @@triangles.is_triangle?(self.num_sum)\n", + " end\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[19, 11, 25]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"SKY\".to_nums" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "55" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"SKY\".num_sum" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "true" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "trins.is_triangle? \"SKY\".num_sum" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "true" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"SKY\".triangle_sum?" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "162" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "words.select {|w| w.triangle_sum?}.length" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[\"A\", \"ABILITY\", \"ABOVE\", \"ACCOMPANY\", \"ACHIEVEMENT\", \"AGENCY\", \"AGREE\", \"AIR\", \"ALREADY\", \"AN\", \"ANCIENT\", \"APPARENT\", \"APPOINT\", \"APPROACH\", \"ASSUME\", \"AT\", \"ATMOSPHERE\", \"BAG\", \"BAND\", \"BANK\", \"BAR\", \"BEAT\", \"BELONG\", \"BENEATH\", \"BONE\", \"BOTH\", \"BRIDGE\", \"BUILDING\", \"BURN\", \"CALL\", \"CAPACITY\", \"CAREFUL\", \"CASE\", \"CHILD\", \"CIVIL\", \"CLOSELY\", \"COME\", \"CONFIDENCE\", \"CONFIRM\", \"CONSERVATIVE\", \"CONSTRUCTION\", \"CONTENT\", \"COULD\", \"CURRENTLY\", \"DECISION\", \"DEFINITION\", \"DEMOCRATIC\", \"DEPUTY\", \"DESPITE\", \"DISTINCTION\", \"EAST\", \"EDGE\", \"EDUCATIONAL\", \"EFFECT\", \"EQUIPMENT\", \"EVENT\", \"FACE\", \"FAIL\", \"FAMILY\", \"FEEL\", \"FIELD\", \"FIGURE\", \"FLOOR\", \"FREEDOM\", \"FUND\", \"FUTURE\", \"GENTLEMAN\", \"GREY\", \"GROWTH\", \"HAIR\", \"HAPPY\", \"HAVE\", \"HERE\", \"HIS\", \"IF\", \"INCIDENT\", \"INCREASED\", \"INCREASINGLY\", \"INDIVIDUAL\", \"INSTRUMENT\", \"INTEND\", \"INTENTION\", \"IS\", \"LAW\", \"LEADER\", \"LEAVE\", \"LENGTH\", \"LESS\", \"LITTLE\", \"LOVELY\", \"MAN\", \"MATCH\", \"MERELY\", \"MILK\", \"MISTAKE\", \"MOVE\", \"MUCH\", \"NEED\", \"NOTICE\", \"OBJECT\", \"OBJECTIVE\", \"OF\", \"OIL\", \"ONLY\", \"OTHER\", \"OURSELVES\", \"PART\", \"PASS\", \"PATH\", \"PERFORM\", \"PRISON\", \"PRIVATE\", \"PROBABLY\", \"PROCEDURE\", \"QUALITY\", \"QUESTION\", \"RANGE\", \"READ\", \"REAL\", \"RELIEF\", \"REMOVE\", \"REPRESENT\", \"REQUEST\", \"RESPOND\", \"RIDE\", \"SAMPLE\", \"SAY\", \"SEAT\", \"SECURITY\", \"SINGLE\", \"SKY\", \"SOIL\", \"SOLICITOR\", \"SONG\", \"SOUTHERN\", \"SPIRIT\", \"START\", \"SUGGESTION\", \"TALL\", \"TAX\", \"THEORY\", \"THREATEN\", \"THROUGHOUT\", \"TITLE\", \"TOOTH\", \"TOTALLY\", \"TRAVEL\", \"TYPE\", \"UNABLE\", \"UNDERSTAND\", \"UPON\", \"USE\", \"VARIOUS\", \"VARY\", \"VIDEO\", \"WAGE\", \"WARM\", \"WATCH\", \"WE\", \"WHILST\", \"WIDELY\", \"WOMAN\"]" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "words.select {|w| w.triangle_sum?}" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "\"#\"" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "trins.inspect" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Ruby 2.4.0", + "language": "ruby", + "name": "ruby" + }, + "language_info": { + "file_extension": ".rb", + "mimetype": "application/x-ruby", + "name": "ruby", + "version": "2.4.0" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/p042_words.txt b/p042_words.txt new file mode 100644 index 0000000..7177624 --- /dev/null +++ b/p042_words.txt @@ -0,0 +1 @@ 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\ No newline at end of file -- 2.34.1