From a03caab39b9f670fd70ddc0b1da5d1e14c36fca5 Mon Sep 17 00:00:00 2001 From: Neil Smith Date: Tue, 14 Feb 2017 11:25:11 +0000 Subject: [PATCH 1/1] Done puzzle 30 --- euler30.ipynb | 323 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 323 insertions(+) create mode 100644 euler30.ipynb diff --git a/euler30.ipynb b/euler30.ipynb new file mode 100644 index 0000000..081dca9 --- /dev/null +++ b/euler30.ipynb @@ -0,0 +1,323 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Object" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "include Math" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "642" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "125.to_s.each_char.map {|d| d.to_i ** 4}.sum" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1634" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1634.to_s.each_char.map {|d| d.to_i ** 4}.sum" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "5.470182551532643" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log10(5) + 5 * log10(9)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0: -Infinity =?= 1\n", + "1: 4.771212547196624 =?= 2\n", + "2: 5.0722425428606055 =?= 3\n", + "3: 5.248333801916287 =?= 4\n", + "4: 5.373272538524587 =?= 5\n", + "5: 5.470182551532643 =?= 6\n", + "6: 5.549363797580268 =?= 7\n", + "7: 5.616310587210881 =?= 8\n", + "8: 5.674302534188568 =?= 9\n", + "9: 5.7254550566359494 =?= 10\n" + ] + }, + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "10.times do |n|\n", + " puts \"#{n}: #{log10(n) + 5 * log10(9)} =?= #{n+1}\"\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + ":digit_power_sum" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def digit_power_sum(n, p)\n", + " n.to_s.each_char.map {|d| d.to_i ** p}.sum\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "(2..10^6)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "642" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "digit_power_sum(125, 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1634" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "digit_power_sum(1634, 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[1634, 8208, 9474]" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(2..10000).select {|n| digit_power_sum(n, 4) == n}" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 4150, 4151, 54748, 92727, 93084, 194979]" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1..10**6).select {|n| digit_power_sum(n, 5) == n}" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 4150, 4151, 54748, 92727, 93084, 194979]" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1..10**7).select {|n| digit_power_sum(n, 5) == n}" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "443839" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(2..10**6).select {|n| digit_power_sum(n, 5) == n}.sum" + ] + }, + { + "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 +} -- 2.34.1