260 lines
196 KiB
HTML
260 lines
196 KiB
HTML
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<!DOCTYPE html>
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<html>
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<head>
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<meta charset="utf-8" />
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<title>EulerProblem067</title>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
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<style type="text/css">
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/*!
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*
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* Twitter Bootstrap
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*
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*//*! normalize.css v3.0.2 | MIT License | git.io/normalize */html{font-family:sans-serif;-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%}body{margin:0}article,aside,details,figcaption,figure,footer,header,hgroup,main,menu,nav,section,summary{display:block}audio,canvas,progress,video{display:inline-block;vertical-align:baseline}audio:not([controls]){display:none;height:0}[hidden],template{display:none}a{background-color:transparent}a:active,a:hover{outline:0}abbr[title]{border-bottom:1px dotted}b,strong{font-weight:bold}dfn{font-style:italic}h1{font-size:2em;margin:.67em 0}mark{background:#ff0;color:#000}small{font-size:80%}sub,sup{font-size:75%;line-height:0;position:relative;vertical-align:baseline}sup{top:-0.5em}sub{bottom:-0.25em}img{border:0}svg:not(:root){overflow:hidden}figure{margin:1em 40px}hr{-moz-box-sizing:content-box;box-sizing:content-box;height:0}pre{overflow:auto}code,kbd,pre,samp{font-family:monospace,monospace;font-size:1em}button,input,optgroup,select,textarea{color:inherit;font:inherit;margin:0}button{overflow:visible}button,select{text-transform:none}button,html input[type="button"],input[type="reset"],input[type="submit"]{-webkit-appearance:button;cursor:pointer}button[disabled],html input[disabled]{cursor:default}button::-moz-focus-inner,input::-moz-focus-inner{border:0;padding:0}input{line-height:normal}input[type="checkbox"],input[type="radio"]{box-sizing:border-box;padding:0}input[type="number"]::-webkit-inner-spin-button,input[type="number"]::-webkit-outer-spin-button{height:auto}input[type="search"]{-webkit-appearance:textfield;-moz-box-sizing:content-box;-webkit-box-sizing:content-box;box-sizing:content-box}input[type="search"]::-webkit-search-cancel-button,input[type="search"]::-webkit-search-decoration{-webkit-appearance:none}fieldset{border:1px solid #c0c0c0;margin:0 2px;padding:.35em .625em .75em}legend{border:0;padding:0}textarea{overflow:auto}optgroup{font-weight:bold}table{border-collapse:collapse;border-spacing:0}td,th{padding:0}/*! Source: https://github.com/h5bp/html5-boilerplate/blob/master/src/css/main.css */@media print{*,*:before,*:after{background:transparent !important;color:#000 !important;box-shadow:none !important;text-shadow:none !important}a,a:visited{text-decoration:underline}a[href]:after{content:" (" attr(href) ")"}abbr[title]:after{content:" (" attr(title) ")"}a[href^="#"]:after,a[href^="javascript:"]:after{content:""}pre,blockquote{border:1px solid #999;page-break-inside:avoid}thead{display:table-header-group}tr,img{page-break-inside:avoid}img{max-width:100% !important}p,h2,h3{orphans:3;widows:3}h2,h3{page-break-after:avoid}select{background:#fff !important}.navbar{display:none}.btn>.caret,.dropup>.btn>.caret{border-top-color:#000 !important}.label{border:1px solid #000}.table{border-collapse:collapse !important}.table td,.table th{background-color:#fff !important}.table-bordered th,.table-bordered td{border:1px solid #ddd !important}}@font-face{font-family:'Glyphicons Halflings';src:url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot');src:url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot?#iefix') format('embedded-opentype'),url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff') format('woff'),url('../components/bootstrap/fonts/glyphicons-halflings-regular.ttf') format('truetype'),url('../components/bootstrap/fonts/glyphicons-halflings-regular.svg#glyphicons_halflingsregular') format('svg')}.glyphicon{position:relative;top:1px;display:inline-block;font-family:'Glyphicons Halflings';font-style:normal;font-weight:normal;line-height:1;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}.glyphicon-asterisk:before{content:"\2a"}.glyphicon-plus:before{content:"\2b"}.glyphicon-euro:before,.glyphicon-eur:before{content:"\20ac"}.glyphicon-minus:before{content:"\2212"}.glyphicon-cloud:before{content:"\2601"}.glyphicon-envelope:before{content:"\2709"}.glyphicon-pencil:before{content:"\270f"}.glyphicon-glass:before{content:"\e001"}.glyphicon-music:before{content:"\e002"}.glyphicon-search:before{content:
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*
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* Font Awesome
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*
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*//*!
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* Font Awesome 4.3.0 by @davegandy - http://fontawesome.io - @fontawesome
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* License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
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*/@font-face{font-family:'FontAwesome';src:url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.3.0');src:url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.3.0') format('embedded-opentype'),url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.3.0') format('woff2'),url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.3.0') format('woff'),url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.3.0') format('truetype'),url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.3.0#fontawesomeregular') format('svg');font-weight:normal;font-style:normal}.fa{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0)}.fa-lg{font-size:1.33333333em;line-height:.75em;vertical-align:-15%}.fa-2x{font-size:2em}.fa-3x{font-size:3em}.fa-4x{font-size:4em}.fa-5x{font-size:5em}.fa-fw{width:1.28571429em;text-align:center}.fa-ul{padding-left:0;margin-left:2.14285714em;list-style-type:none}.fa-ul>li{position:relative}.fa-li{position:absolute;left:-2.14285714em;width:2.14285714em;top:.14285714em;text-align:center}.fa-li.fa-lg{left:-1.85714286em}.fa-border{padding:.2em .25em .15em;border:solid .08em #eee;border-radius:.1em}.pull-right{float:right}.pull-left{float:left}.fa.pull-left{margin-right:.3em}.fa.pull-right{margin-left:.3em}.fa-spin{-webkit-animation:fa-spin 2s infinite linear;animation:fa-spin 2s infinite linear}.fa-pulse{-webkit-animation:fa-spin 1s infinite steps(8);animation:fa-spin 1s infinite steps(8)}@-webkit-keyframes fa-spin{0%{-webkit-transform:rotate(0deg);transform:rotate(0deg)}100%{-webkit-transform:rotate(359deg);transform:rotate(359deg)}}@keyframes fa-spin{0%{-webkit-transform:rotate(0deg);transform:rotate(0deg)}100%{-webkit-transform:rotate(359deg);transform:rotate(359deg)}}.fa-rotate-90{filter:progid:DXImageTransform.Microsoft.BasicImage(rotation=1);-webkit-transform:rotate(90deg);-ms-transform:rotate(90deg);transform:rotate(90deg)}.fa-rotate-180{filter:progid:DXImageTransform.Microsoft.BasicImage(rotation=2);-webkit-transform:rotate(180deg);-ms-transform:rotate(180deg);transform:rotate(180deg)}.fa-rotate-270{filter:progid:DXImageTransform.Microsoft.BasicImage(rotation=3);-webkit-transform:rotate(270deg);-ms-transform:rotate(270deg);transform:rotate(270deg)}.fa-flip-horizontal{filter:progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1);-webkit-transform:scale(-1, 1);-ms-transform:scale(-1, 1);transform:scale(-1, 1)}.fa-flip-vertical{filter:progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1);-webkit-transform:scale(1, -1);-ms-transform:scale(1, -1);transform:scale(1, -1)}:root .fa-rotate-90,:root .fa-rotate-180,:root .fa-rotate-270,:root .fa-flip-horizontal,:root .fa-flip-vertical{filter:none}.fa-stack{position:relative;display:inline-block;width:2em;height:2em;line-height:2em;vertical-align:middle}.fa-stack-1x,.fa-stack-2x{position:absolute;left:0;width:100%;text-align:center}.fa-stack-1x{line-height:inherit}.fa-stack-2x{font-size:2em}.fa-inverse{color:#fff}.fa-glass:before{content:"\f000"}.fa-music:before{content:"\f001"}.fa-search:before{content:"\f002"}.fa-envelope-o:before{content:"\f003"}.fa-heart:before{content:"\f004"}.fa-star:before{content:"\f005"}.fa-star-o:before{content:"\f006"}.fa-user:before{content:"\f007"}.fa-film:before{content:"\f008"}.fa-th-large:before{content:"\f009"}.fa-th:before{content:"\f00a"}.fa-th-list:before{content:"\f00b"}.fa-check:before{content:"\f00c"}.fa-remove:before,.fa-close:before,.fa-times:before{content:"\f00d"}.fa-search-plus:before{content:"\f00e"}.fa-search-minus:before{content:"\f010"}.fa-power-off:before{content:"\f011"}.fa-signal:before{content:"\f012"}.fa-gear:before,.fa-cog:before{content:"\f013"}.fa-trash-o:before{content:"\f014"}.fa-home:before{content:"\f015"}.fa-file-o:before{content:"\f016"}.fa-clock-o:before{content:"\f017"}.fa-road:before{content:"\f018"}.fa-download:before{content:"\f019"}.fa-arrow-circle-o-down:befo
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*
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* IPython base
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*
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*/.modal.fade .modal-dialog{-webkit-transform:translate(0, 0);-ms-transform:translate(0, 0);-o-transform:translate(0, 0);transform:translate(0, 0)}code{color:#000}pre{font-size:inherit;line-height:inherit}label{font-weight:normal}.border-box-sizing{box-sizing:border-box;-moz-box-sizing:border-box;-webkit-box-sizing:border-box}.corner-all{border-radius:2px}.no-padding{padding:0}.hbox{display:-webkit-box;-webkit-box-orient:horizontal;-webkit-box-align:stretch;display:-moz-box;-moz-box-orient:horizontal;-moz-box-align:stretch;display:box;box-orient:horizontal;box-align:stretch;display:flex;flex-direction:row;align-items:stretch}.hbox>*{-webkit-box-flex:0;-moz-box-flex:0;box-flex:0;flex:none}.vbox{display:-webkit-box;-webkit-box-orient:vertical;-webkit-box-align:stretch;display:-moz-box;-moz-box-orient:vertical;-moz-box-align:stretch;display:box;box-orient:vertical;box-align:stretch;display:flex;flex-direction:column;align-items:stretch}.vbox>*{-webkit-box-flex:0;-moz-box-flex:0;box-flex:0;flex:none}.hbox.reverse,.vbox.reverse,.reverse{-webkit-box-direction:reverse;-moz-box-direction:reverse;box-direction:reverse;flex-direction:row-reverse}.hbox.box-flex0,.vbox.box-flex0,.box-flex0{-webkit-box-flex:0;-moz-box-flex:0;box-flex:0;flex:none;width:auto}.hbox.box-flex1,.vbox.box-flex1,.box-flex1{-webkit-box-flex:1;-moz-box-flex:1;box-flex:1;flex:1}.hbox.box-flex,.vbox.box-flex,.box-flex{-webkit-box-flex:1;-moz-box-flex:1;box-flex:1;flex:1}.hbox.box-flex2,.vbox.box-flex2,.box-flex2{-webkit-box-flex:2;-moz-box-flex:2;box-flex:2;flex:2}.box-group1{-webkit-box-flex-group:1;-moz-box-flex-group:1;box-flex-group:1}.box-group2{-webkit-box-flex-group:2;-moz-box-flex-group:2;box-flex-group:2}.hbox.start,.vbox.start,.start{-webkit-box-pack:start;-moz-box-pack:start;box-pack:start;justify-content:flex-start}.hbox.end,.vbox.end,.end{-webkit-box-pack:end;-moz-box-pack:end;box-pack:end;justify-content:flex-end}.hbox.center,.vbox.center,.center{-webkit-box-pack:center;-moz-box-pack:center;box-pack:center;justify-content:center}.hbox.baseline,.vbox.baseline,.baseline{-webkit-box-pack:baseline;-moz-box-pack:baseline;box-pack:baseline;justify-content:baseline}.hbox.stretch,.vbox.stretch,.stretch{-webkit-box-pack:stretch;-moz-box-pack:stretch;box-pack:stretch;justify-content:stretch}.hbox.align-start,.vbox.align-start,.align-start{-webkit-box-align:start;-moz-box-align:start;box-align:start;align-items:flex-start}.hbox.align-end,.vbox.align-end,.align-end{-webkit-box-align:end;-moz-box-align:end;box-align:end;align-items:flex-end}.hbox.align-center,.vbox.align-center,.align-center{-webkit-box-align:center;-moz-box-align:center;box-align:center;align-items:center}.hbox.align-baseline,.vbox.align-baseline,.align-baseline{-webkit-box-align:baseline;-moz-box-align:baseline;box-align:baseline;align-items:baseline}.hbox.align-stretch,.vbox.align-stretch,.align-stretch{-webkit-box-align:stretch;-moz-box-align:stretch;box-align:stretch;align-items:stretch}div.error{margin:2em;text-align:center}div.error>h1{font-size:500%;line-height:normal}div.error>p{font-size:200%;line-height:normal}div.traceback-wrapper{text-align:left;max-width:800px;margin:auto}body{background-color:#fff;position:absolute;left:0;right:0;top:0;bottom:0;overflow:visible}#header{display:none;background-color:#fff;position:relative;z-index:100}#header #header-container{padding-bottom:5px;padding-top:5px;box-sizing:border-box;-moz-box-sizing:border-box;-webkit-box-sizing:border-box}#header .header-bar{width:100%;height:1px;background:#e7e7e7;margin-bottom:-1px}@media print{#header{display:none !important}}#header-spacer{width:100%;visibility:hidden}@media print{#header-spacer{display:none}}#ipython_notebook{padding-left:0;padding-top:1px;padding-bottom:1px}@media (max-width:991px){#ipython_notebook{margin-left:10px}}#noscript{width:auto;padding-top:16px;padding-bottom:16px;text-align:center;font-size:22px;color:red;font-weight:bold}#ipython_notebook img{height:28px}#site{width:100%;display:none;box-sizing:border-box;-moz-box-sizing:border-box;-webkit-box-sizing:border-box;overflow:auto}@med
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*
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* IPython auth
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*
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*/.center-nav{display:inline-block;margin-bottom:-4px}/*!
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*
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* IPython tree view
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*
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*/.alternate_upload{background-color:none;display:inline}.alternate_upload.form{padding:0;margin:0}.alternate_upload input.fileinput{display:inline;opacity:0;z-index:2;width:12ex;margin-right:-12ex}.alternate_upload .btn-upload{height:22px}ul#tabs{margin-bottom:4px}ul#tabs a{padding-top:6px;padding-bottom:4px}ul.breadcrumb a:focus,ul.breadcrumb a:hover{text-decoration:none}ul.breadcrumb i.icon-home{font-size:16px;margin-right:4px}ul.breadcrumb span{color:#5e5e5e}.list_toolbar{padding:4px 0 4px 0;vertical-align:middle}.list_toolbar .tree-buttons{padding-top:1px}.dynamic-buttons{padding-top:3px;display:inline-block}.list_toolbar [class*="span"]{min-height:24px}.list_header{font-weight:bold;background-color:#eee}.list_placeholder{font-weight:bold;padding-top:4px;padding-bottom:4px;padding-left:7px;padding-right:7px}.list_container{margin-top:4px;margin-bottom:20px;border:1px solid #ddd;border-radius:2px}.list_container>div{border-bottom:1px solid #ddd}.list_container>div:hover .list-item{background-color:red}.list_container>div:last-child{border:none}.list_item:hover .list_item{background-color:#ddd}.list_item a{text-decoration:none}.list_item:hover{background-color:#fafafa}.action_col{text-align:right}.list_header>div,.list_item>div{padding-top:4px;padding-bottom:4px;padding-left:7px;padding-right:7px;line-height:22px}.list_header>div input,.list_item>div input{margin-right:7px;margin-left:14px;vertical-align:baseline;line-height:22px;position:relative;top:-1px}.list_header>div .item_link,.list_item>div .item_link{margin-left:-1px;vertical-align:baseline;line-height:22px}.new-file input[type=checkbox]{visibility:hidden}.item_name{line-height:22px;height:24px}.item_icon{font-size:14px;color:#5e5e5e;margin-right:7px;margin-left:7px;line-height:22px;vertical-align:baseline}.item_buttons{line-height:1em;margin-left:-5px}.item_buttons .btn-group,.item_buttons .input-group{float:left}.item_buttons>.btn,.item_buttons>.btn-group,.item_buttons>.input-group{margin-left:5px}.item_buttons .btn{min-width:13ex}.item_buttons .running-indicator{padding-top:4px;color:#5cb85c}.toolbar_info{height:24px;line-height:24px}input.nbname_input,input.engine_num_input{padding-top:3px;padding-bottom:3px;height:22px;line-height:14px;margin:0}input.engine_num_input{width:60px}.highlight_text{color:blue}#project_name{display:inline-block;padding-left:7px;margin-left:-2px}#project_name>.breadcrumb{padding:0;margin-bottom:0;background-color:transparent;font-weight:bold}#tree-selector{padding-right:0}#button-select-all{min-width:50px}#select-all{margin-left:7px;margin-right:2px}.menu_icon{margin-right:2px}.tab-content .row{margin-left:0;margin-right:0}.folder_icon:before{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0);content:"\f114"}.folder_icon:before.pull-left{margin-right:.3em}.folder_icon:before.pull-right{margin-left:.3em}.notebook_icon:before{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0);content:"\f02d";position:relative;top:-1px}.notebook_icon:before.pull-left{margin-right:.3em}.notebook_icon:before.pull-right{margin-left:.3em}.running_notebook_icon:before{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0);content:"\f02d";position:relative;top:-1px;color:#5cb85c}.running_notebook_icon:before.pull-left{margin-right:.3em}.running_notebook_icon:before.pull-right{margin-left:.3em}.file_icon:before{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0);content:"\f016";position:relative;top:-2px}.file_icon:before.pull-left{margin-right:.3em}.file_icon:before.pull-right
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*
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* IPython text editor webapp
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*
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*/.selected-keymap i.fa{padding:0 5px}.selected-keymap i.fa:before{content:"\f00c"}#mode-menu{overflow:auto;max-height:20em}.edit_app #header{-webkit-box-shadow:0 0 12px 1px rgba(87,87,87,0.2);box-shadow:0 0 12px 1px rgba(87,87,87,0.2)}.edit_app #menubar .navbar{margin-bottom:-1px}.dirty-indicator{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0);width:20px}.dirty-indicator.pull-left{margin-right:.3em}.dirty-indicator.pull-right{margin-left:.3em}.dirty-indicator-dirty{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0);width:20px}.dirty-indicator-dirty.pull-left{margin-right:.3em}.dirty-indicator-dirty.pull-right{margin-left:.3em}.dirty-indicator-clean{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0);width:20px}.dirty-indicator-clean.pull-left{margin-right:.3em}.dirty-indicator-clean.pull-right{margin-left:.3em}.dirty-indicator-clean:before{display:inline-block;font:normal normal normal 14px/1 FontAwesome;font-size:inherit;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;transform:translate(0, 0);content:"\f00c"}.dirty-indicator-clean:before.pull-left{margin-right:.3em}.dirty-indicator-clean:before.pull-right{margin-left:.3em}#filename{font-size:16pt;display:table;padding:0 5px}#current-mode{padding-left:5px;padding-right:5px}#texteditor-backdrop{padding-top:20px;padding-bottom:20px}@media not print{#texteditor-backdrop{background-color:#eee}}@media print{#texteditor-backdrop #texteditor-container .CodeMirror-gutter,#texteditor-backdrop #texteditor-container .CodeMirror-gutters{background-color:#fff}}@media not print{#texteditor-backdrop #texteditor-container .CodeMirror-gutter,#texteditor-backdrop #texteditor-container .CodeMirror-gutters{background-color:#fff}}@media not print{#texteditor-backdrop #texteditor-container{padding:0;background-color:#fff;-webkit-box-shadow:0 0 12px 1px rgba(87,87,87,0.2);box-shadow:0 0 12px 1px rgba(87,87,87,0.2)}}/*!
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*
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* IPython notebook
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<h1 id="Euler-Problem-67">Euler Problem 67<a class="anchor-link" href="#Euler-Problem-67">¶</a></h1><p>By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bottom is 23.</p>
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<pre><code> 3
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7 4
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2 4 6
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8 5 9 3</code></pre>
|
||
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<p>That is, 3 + 7 + 4 + 9 = 23.</p>
|
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<p>Find the maximum total from top to bottom in triangle.txt (right click and 'Save Link/Target As...'), a 15K text file containing a triangle with one-hundred rows.</p>
|
||
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<p>NOTE: This is a much more difficult version of Problem 18. It is not possible to try every route to solve this problem, as there are 299 altogether! If you could check one trillion (1012) routes every second it would take over twenty billion years to check them all. There is an efficient algorithm to solve it. ;o)</p>
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<div class="text_cell_render border-box-sizing rendered_html">
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<p>So let's hope our solution is good. I have saved the triangle in a file EulerProblem067.txt in the same directory as this notebook.</p>
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<div class="prompt input_prompt">In [1]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">find_greatest_path_sum_in_triangle_string</span><span class="p">(</span><span class="n">ts</span><span class="p">):</span>
|
||
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<span class="kn">from</span> <span class="nn">functools</span> <span class="k">import</span> <span class="n">reduce</span>
|
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<span class="n">xss</span> <span class="o">=</span> <span class="p">[</span><span class="nb">list</span><span class="p">(</span><span class="nb">map</span><span class="p">(</span><span class="nb">int</span><span class="p">,</span> <span class="n">xs</span><span class="o">.</span><span class="n">split</span><span class="p">()))</span> <span class="k">for</span> <span class="n">xs</span> <span class="ow">in</span> <span class="n">ts</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s2">"</span><span class="se">\n</span><span class="s2">"</span><span class="p">)</span> <span class="k">if</span> <span class="n">xs</span><span class="p">]</span>
|
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<span class="n">xss</span><span class="o">.</span><span class="n">reverse</span><span class="p">()</span>
|
||
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<span class="n">r</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">xs</span><span class="p">,</span> <span class="n">ys</span><span class="p">:</span> <span class="p">[</span><span class="nb">max</span><span class="p">([</span><span class="n">xs</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">+</span> <span class="n">ys</span><span class="p">[</span><span class="n">i</span><span class="p">],</span> <span class="n">xs</span><span class="p">[</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">ys</span><span class="p">[</span><span class="n">i</span><span class="p">]])</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">ys</span><span class="p">))]</span>
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<span class="k">return</span> <span class="n">reduce</span><span class="p">(</span><span class="n">r</span><span class="p">,</span> <span class="n">xss</span><span class="p">[</span><span class="mi">1</span><span class="p">:],</span> <span class="n">xss</span><span class="p">[</span><span class="mi">0</span><span class="p">])[</span><span class="mi">0</span><span class="p">]</span>
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<span class="k">with</span> <span class="nb">open</span><span class="p">(</span><span class="s1">'EulerProblem067.txt'</span><span class="p">,</span> <span class="s1">'r'</span><span class="p">)</span> <span class="k">as</span> <span class="n">f</span><span class="p">:</span>
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<span class="n">triangle_string</span> <span class="o">=</span> <span class="n">f</span><span class="o">.</span><span class="n">read</span><span class="p">()</span>
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<span class="nb">print</span><span class="p">(</span><span class="n">find_greatest_path_sum_in_triangle_string</span><span class="p">(</span><span class="n">triangle_string</span><span class="p">))</span>
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</pre></div>
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<div class="output">
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<div class="output_area"><div class="prompt"></div>
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<div class="output_subarea output_stream output_stdout output_text">
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<pre>7273
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</pre>
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<p>Well, that was fast.</p>
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