.markdown-body hr::after,.markdown-body::after{clear:both}.loopLine,.messageLine0{marker-end:"url(#arrowhead)"}@font-face{font-family:octicons-link;src:url(data:font/woff;charset=utf-8;base64,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) format('woff')}.markdown-body{-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%;color:#24292e;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Helvetica,Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol";line-height:1.5;word-wrap:break-word}.markdown-body .pl-c{color:#6a737d}.markdown-body .pl-c1,.markdown-body .pl-s .pl-v{color:#005cc5}.markdown-body .pl-e,.markdown-body .pl-en{color:#6f42c1}.markdown-body .pl-s .pl-s1,.markdown-body .pl-smi{color:#24292e}.markdown-body .pl-ent{color:#22863a}.markdown-body .pl-k{color:#d73a49}.markdown-body .pl-pds,.markdown-body .pl-s,.markdown-body .pl-s .pl-pse .pl-s1,.markdown-body .pl-sr,.markdown-body .pl-sr .pl-cce,.markdown-body .pl-sr .pl-sra,.markdown-body .pl-sr .pl-sre{color:#032f62}.markdown-body .pl-smw,.markdown-body .pl-v{color:#e36209}.markdown-body .pl-bu{color:#b31d28}.markdown-body .pl-ii{color:#fafbfc;background-color:#b31d28}.markdown-body .pl-c2{color:#fafbfc;background-color:#d73a49}.markdown-body .pl-c2::before{content:"^M"}.markdown-body .pl-sr .pl-cce{font-weight:700;color:#22863a}.markdown-body .pl-ml{color:#735c0f}.markdown-body .pl-mh,.markdown-body .pl-mh .pl-en,.markdown-body .pl-ms{font-weight:700;color:#005cc5}.markdown-body .pl-mi{font-style:italic;color:#24292e}.markdown-body .pl-mb{font-weight:700;color:#24292e}.markdown-body .pl-md{color:#b31d28;background-color:#ffeef0}.markdown-body .pl-mi1{color:#22863a;background-color:#f0fff4}.markdown-body .pl-mc{color:#e36209;background-color:#ffebda}.markdown-body .pl-mi2{color:#f6f8fa;background-color:#005cc5}.markdown-body .pl-mdr{font-weight:700;color:#6f42c1}.markdown-body .pl-ba{color:#586069}.markdown-body .pl-sg{color:#959da5}.markdown-body .pl-corl{text-decoration:underline;color:#032f62}.markdown-body .octicon{display:inline-block;fill:currentColor;vertical-align:text-bottom}.markdown-body hr::after,.markdown-body hr::before,.markdown-body::after,.markdown-body::before{display:table;content:""}.markdown-body a{background-color:transparent;-webkit-text-decoration-skip:objects;color:#0366d6;text-decoration:none}.markdown-body a:active,.markdown-body a:hover{outline-width:0}.markdown-body h1{margin:.67em 0}.markdown-body img{border-style:none}.markdown-body svg:not(:root){overflow:hidden}.markdown-body hr{box-sizing:content-box}.markdown-body input{font:inherit;margin:0;overflow:visible;font-family:inherit;font-size:inherit;line-height:inherit}.markdown-body [type=checkbox]{box-sizing:border-box;padding:0}.markdown-body *{box-sizing:border-box}.markdown-body a:hover{text-decoration:underline}.markdown-body strong{font-weight:600}.markdown-body td,.markdown-body th{padding:0}.markdown-body blockquote{margin:0}.markdown-body ol ol,.markdown-body ul ol{list-style-type:lower-roman}.markdown-body ol ol ol,.markdown-body ol ul ol,.markdown-body ul ol ol,.markdown-body ul ul ol{list-style-type:lower-alpha}.markdown-body .task-list-item,ul.table-of-contents{list-style-type:none}.markdown-body dd{margin-left:0}.markdown-body code{font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace}.markdown-body pre{font:12px SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;word-wrap:normal}.markdown-body .pl-0{padding-left:0!important}.markdown-body .pl-1{padding-left:4px!important}.markdown-body .pl-2{padding-left:8px!important}.markdown-body .pl-3{padding-left:16px!important}.markdown-body .pl-4{padding-left:24px!important}.markdown-body .pl-5{padding-left:32px!important}.markdown-body .pl-6{padding-left:40px!important}.markdown-body>:first-child{margin-top:0!important}.markdown-body>:last-child{margin-bottom:0!important}.markdown-body a:not([href]){color:inherit;text-decoration:none}.markdown-body .anchor{float:left;padding-right:4px;margin-left:-20px;line-height:1}.markdown-body .anchor:focus{outline:0}.markdown-body blockquote,.markdown-body dl,.markdown-body ol,.markdown-body p,.markdown-body pre,.markdown-body table,.markdown-body ul{margin-top:0;margin-bottom:16px}.markdown-body hr{overflow:hidden;background:#e1e4e8;height:.25em;padding:0;margin:24px 0;border:0}.markdown-body blockquote{padding:0 1em;color:#6a737d;border-left:.25em solid #dfe2e5}.markdown-body h1,.markdown-body h2{padding-bottom:.3em;border-bottom:1px solid #eaecef}.markdown-body blockquote>:first-child{margin-top:0}.markdown-body blockquote>:last-child{margin-bottom:0}.markdown-body h1,.markdown-body h2,.markdown-body h3,.markdown-body h4,.markdown-body h5,.markdown-body h6{margin-top:24px;margin-bottom:16px;font-weight:600;line-height:1.25}.markdown-body h1 .octicon-link,.markdown-body h2 .octicon-link,.markdown-body h3 .octicon-link,.markdown-body h4 .octicon-link,.markdown-body h5 .octicon-link,.markdown-body h6 .octicon-link{color:#1b1f23;vertical-align:middle;visibility:hidden}.markdown-body h1:hover .anchor,.markdown-body h2:hover .anchor,.markdown-body h3:hover .anchor,.markdown-body h4:hover .anchor,.markdown-body h5:hover .anchor,.markdown-body h6:hover .anchor{text-decoration:none}.markdown-body h1:hover .anchor .octicon-link,.markdown-body h2:hover .anchor .octicon-link,.markdown-body h3:hover .anchor .octicon-link,.markdown-body h4:hover .anchor .octicon-link,.markdown-body h5:hover .anchor .octicon-link,.markdown-body h6:hover .anchor .octicon-link{visibility:visible}.markdown-body h6{color:#6a737d}.markdown-body ol,.markdown-body ul{padding-left:2em}.markdown-body ol ol,.markdown-body ol ul,.markdown-body ul ol,.markdown-body ul ul{margin-top:0;margin-bottom:0}.markdown-body li>p{margin-top:16px}.markdown-body li+li{margin-top:.25em}.markdown-body dl{padding:0}.markdown-body dl dt{padding:0;margin-top:16px;font-size:1em;font-style:italic;font-weight:600}.markdown-body dl dd{padding:0 16px;margin-bottom:16px}.markdown-body table th{font-weight:600}.markdown-body table td,.markdown-body table th{padding:6px 13px;border:1px solid #dfe2e5}.markdown-body table tr{background-color:#fff;border-top:1px solid #c6cbd1}.markdown-body table tr:nth-child(2n){background-color:#f6f8fa}.markdown-body img{max-width:100%;box-sizing:content-box;background-color:#fff}.markdown-body code{padding:.2em 0;margin:0;font-size:85%;background-color:rgba(27,31,35,.05);border-radius:3px}.markdown-body code::after,.markdown-body code::before{letter-spacing:-.2em;content:"\00a0"}.markdown-body pre>code{padding:0;margin:0;font-size:100%;word-break:normal;white-space:pre;background:0 0;border:0}.markdown-body .highlight{margin-bottom:16px}.markdown-body .highlight pre{margin-bottom:0;word-break:normal}.markdown-body .highlight pre,.markdown-body pre{padding:16px;overflow:auto;font-size:85%;line-height:1.45;background-color:#f6f8fa;border-radius:3px}.markdown-body pre code{display:inline;max-width:auto;padding:0;margin:0;overflow:visible;line-height:inherit;word-wrap:normal;background-color:transparent;border:0}.markdown-body pre code::after,.markdown-body pre code::before{content:normal}.markdown-body .full-commit .btn-outline:not(:disabled):hover{color:#005cc5;border-color:#005cc5}.markdown-body kbd{display:inline-block;padding:3px 5px;font:11px SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;line-height:10px;color:#444d56;vertical-align:middle;background-color:#fafbfc;border:1px solid #d1d5da;border-bottom-color:#c6cbd1;border-radius:3px;box-shadow:inset 0 -1px 0 #c6cbd1}.node text,.noteText,div.mermaidTooltip{font-family:'trebuchet ms',verdana,arial}.markdown-body :checked+.radio-label{position:relative;z-index:1;border-color:#0366d6}.markdown-body .task-list-item+.task-list-item{margin-top:3px}.markdown-body .task-list-item input{margin:0 .2em .25em -1.6em;vertical-align:middle}.markdown-body hr{border-bottom-color:#eee}.hljs{display:block;overflow-x:auto;padding:.5em;color:#333;background:#f8f8f8}.hljs-comment,.hljs-quote{color:#998;font-style:italic}.hljs-keyword,.hljs-selector-tag,.hljs-subst{color:#333;font-weight:700}.hljs-literal,.hljs-number,.hljs-tag .hljs-attr,.hljs-template-variable,.hljs-variable{color:teal}.hljs-doctag,.hljs-string{color:#d14}.hljs-section,.hljs-selector-id,.hljs-title{color:#900;font-weight:700}.hljs-subst{font-weight:400}.hljs-class .hljs-title,.hljs-type{color:#458;font-weight:700}.hljs-attribute,.hljs-name,.hljs-tag{color:navy;font-weight:400}.hljs-meta,.hljs-strong{font-weight:700}.hljs-link,.hljs-regexp{color:#009926}.hljs-bullet,.hljs-symbol{color:#990073}.hljs-built_in,.hljs-builtin-name{color:#0086b3}.hljs-meta{color:#999}.hljs-deletion{background:#fdd}.hljs-addition{background:#dfd}.hljs-emphasis{font-style:italic}.mermaid .label{color:#333}.node circle,.node ellipse,.node polygon,.node rect{fill:#ECECFF;stroke:#CCF;stroke-width:1px}.edgePath .path{stroke:#333}.edgeLabel{background-color:#e8e8e8}.cluster rect{fill:#ffffde!important;rx:4!important;stroke:#aa3!important;stroke-width:1px!important}.cluster text{fill:#333}.actor{stroke:#CCF;fill:#ECECFF}text.actor{fill:#000;stroke:none}.actor-line{stroke:grey}.messageLine0,.messageLine1{stroke-width:1.5;stroke-dasharray:"2 2";stroke:#333}#arrowhead{fill:#333}#crosshead path{fill:#333!important;stroke:#333!important}.messageText{fill:#333;stroke:none}.labelBox{stroke:#CCF;fill:#ECECFF}.labelText,.loopText{fill:#000;stroke:none}.loopLine{stroke-width:2;stroke-dasharray:"2 2";stroke:#CCF}.note{stroke:#aa3;fill:#fff5ad}.noteText{fill:#000;stroke:none;font-size:14px}.section{stroke:none;opacity:.2}.section0{fill:rgba(102,102,255,.49)}.section2{fill:#fff400}.section1,.section3{fill:#fff;opacity:.2}.sectionTitle0,.sectionTitle1,.sectionTitle2,.sectionTitle3{fill:#333}.sectionTitle{text-anchor:start;font-size:11px;text-height:14px}.grid .tick{stroke:#d3d3d3;opacity:.3;shape-rendering:crispEdges}.grid path{stroke-width:0}.today{fill:none;stroke:red;stroke-width:2px}.task{stroke-width:2}.taskText{text-anchor:middle;font-size:11px}.taskTextOutsideRight{fill:#000;text-anchor:start;font-size:11px}.taskTextOutsideLeft{fill:#000;text-anchor:end;font-size:11px}.taskText0,.taskText1,.taskText2,.taskText3{fill:#fff}.task0,.task1,.task2,.task3{fill:#8a90dd;stroke:#534fbc}.taskTextOutside0,.taskTextOutside1,.taskTextOutside2,.taskTextOutside3{fill:#000}.active0,.active1,.active2,.active3{fill:#bfc7ff;stroke:#534fbc}.activeText0,.activeText1,.activeText2,.activeText3{fill:#000!important}.done0,.done1,.done2,.done3{stroke:grey;fill:#d3d3d3;stroke-width:2}.doneText0,.doneText1,.doneText2,.doneText3{fill:#000!important}.crit0,.crit1,.crit2,.crit3{stroke:#f88;fill:red;stroke-width:2}.activeCrit0,.activeCrit1,.activeCrit2,.activeCrit3{stroke:#f88;fill:#bfc7ff;stroke-width:2}.doneCrit0,.doneCrit1,.doneCrit2,.doneCrit3{stroke:#f88;fill:#d3d3d3;stroke-width:2;cursor:pointer;shape-rendering:crispEdges}.activeCritText0,.activeCritText1,.activeCritText2,.activeCritText3,.doneCritText0,.doneCritText1,.doneCritText2,.doneCritText3{fill:#000!important}.titleText{text-anchor:middle;font-size:18px;fill:#000}.node text{font-size:14px}div.mermaidTooltip{position:absolute;text-align:center;max-width:200px;padding:2px;font-size:12px;background:#ffffde;border:1px solid #aa3;border-radius:2px;pointer-events:none;z-index:100}@font-face{font-family:KaTeX_AMS;src:url(fonts/KaTeX_AMS-Regular.eot);src:url(fonts/KaTeX_AMS-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_AMS-Regular.woff2) format('woff2'),url(fonts/KaTeX_AMS-Regular.woff) format('woff'),url(fonts/KaTeX_AMS-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Caligraphic;src:url(fonts/KaTeX_Caligraphic-Bold.eot);src:url(fonts/KaTeX_Caligraphic-Bold.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Caligraphic-Bold.woff2) format('woff2'),url(fonts/KaTeX_Caligraphic-Bold.woff) format('woff'),url(fonts/KaTeX_Caligraphic-Bold.ttf) format('truetype');font-weight:700;font-style:normal}@font-face{font-family:KaTeX_Caligraphic;src:url(fonts/KaTeX_Caligraphic-Regular.eot);src:url(fonts/KaTeX_Caligraphic-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Caligraphic-Regular.woff2) format('woff2'),url(fonts/KaTeX_Caligraphic-Regular.woff) format('woff'),url(fonts/KaTeX_Caligraphic-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Fraktur;src:url(fonts/KaTeX_Fraktur-Bold.eot);src:url(fonts/KaTeX_Fraktur-Bold.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Fraktur-Bold.woff2) format('woff2'),url(fonts/KaTeX_Fraktur-Bold.woff) format('woff'),url(fonts/KaTeX_Fraktur-Bold.ttf) format('truetype');font-weight:700;font-style:normal}@font-face{font-family:KaTeX_Fraktur;src:url(fonts/KaTeX_Fraktur-Regular.eot);src:url(fonts/KaTeX_Fraktur-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Fraktur-Regular.woff2) format('woff2'),url(fonts/KaTeX_Fraktur-Regular.woff) format('woff'),url(fonts/KaTeX_Fraktur-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Main;src:url(fonts/KaTeX_Main-Bold.eot);src:url(fonts/KaTeX_Main-Bold.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Main-Bold.woff2) format('woff2'),url(fonts/KaTeX_Main-Bold.woff) format('woff'),url(fonts/KaTeX_Main-Bold.ttf) format('truetype');font-weight:700;font-style:normal}@font-face{font-family:KaTeX_Main;src:url(fonts/KaTeX_Main-Italic.eot);src:url(fonts/KaTeX_Main-Italic.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Main-Italic.woff2) format('woff2'),url(fonts/KaTeX_Main-Italic.woff) format('woff'),url(fonts/KaTeX_Main-Italic.ttf) format('truetype');font-weight:400;font-style:italic}@font-face{font-family:KaTeX_Main;src:url(fonts/KaTeX_Main-Regular.eot);src:url(fonts/KaTeX_Main-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Main-Regular.woff2) format('woff2'),url(fonts/KaTeX_Main-Regular.woff) format('woff'),url(fonts/KaTeX_Main-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Math;src:url(fonts/KaTeX_Math-Italic.eot);src:url(fonts/KaTeX_Math-Italic.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Math-Italic.woff2) format('woff2'),url(fonts/KaTeX_Math-Italic.woff) format('woff'),url(fonts/KaTeX_Math-Italic.ttf) format('truetype');font-weight:400;font-style:italic}@font-face{font-family:KaTeX_SansSerif;src:url(fonts/KaTeX_SansSerif-Regular.eot);src:url(fonts/KaTeX_SansSerif-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_SansSerif-Regular.woff2) format('woff2'),url(fonts/KaTeX_SansSerif-Regular.woff) format('woff'),url(fonts/KaTeX_SansSerif-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Script;src:url(fonts/KaTeX_Script-Regular.eot);src:url(fonts/KaTeX_Script-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Script-Regular.woff2) format('woff2'),url(fonts/KaTeX_Script-Regular.woff) format('woff'),url(fonts/KaTeX_Script-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Size1;src:url(fonts/KaTeX_Size1-Regular.eot);src:url(fonts/KaTeX_Size1-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Size1-Regular.woff2) format('woff2'),url(fonts/KaTeX_Size1-Regular.woff) format('woff'),url(fonts/KaTeX_Size1-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Size2;src:url(fonts/KaTeX_Size2-Regular.eot);src:url(fonts/KaTeX_Size2-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Size2-Regular.woff2) format('woff2'),url(fonts/KaTeX_Size2-Regular.woff) format('woff'),url(fonts/KaTeX_Size2-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Size3;src:url(fonts/KaTeX_Size3-Regular.eot);src:url(fonts/KaTeX_Size3-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Size3-Regular.woff2) format('woff2'),url(fonts/KaTeX_Size3-Regular.woff) format('woff'),url(fonts/KaTeX_Size3-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Size4;src:url(fonts/KaTeX_Size4-Regular.eot);src:url(fonts/KaTeX_Size4-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Size4-Regular.woff2) format('woff2'),url(fonts/KaTeX_Size4-Regular.woff) format('woff'),url(fonts/KaTeX_Size4-Regular.ttf) format('truetype');font-weight:400;font-style:normal}@font-face{font-family:KaTeX_Typewriter;src:url(fonts/KaTeX_Typewriter-Regular.eot);src:url(fonts/KaTeX_Typewriter-Regular.eot#iefix) format('embedded-opentype'),url(fonts/KaTeX_Typewriter-Regular.woff2) format('woff2'),url(fonts/KaTeX_Typewriter-Regular.woff) format('woff'),url(fonts/KaTeX_Typewriter-Regular.ttf) format('truetype');font-weight:400;font-style:normal}.katex-display{display:block;margin:1em 0;text-align:center}.katex .base,.katex .katex-html,.katex .strut{display:inline-block}.katex-display>.katex{display:inline-block;text-align:initial}.katex{font:400 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;white-space:nowrap;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important}.katex .katex-mathml{position:absolute;clip:rect(1px,1px,1px,1px);padding:0;border:0;height:1px;width:1px;overflow:hidden}.katex .base,.katex .vlist,.katex .vlist>span{position:relative}.katex .mathrm{font-style:normal}.katex .mainit,.katex .mathit,.katex .textit{font-style:italic}.katex .mathit{font-family:KaTeX_Math}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .amsrm,.katex .mathbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak{font-family:KaTeX_Fraktur}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr{font-family:KaTeX_Script}.katex .mathsf{font-family:KaTeX_SansSerif}.katex .mainit,.katex .mainrm{font-family:KaTeX_Main}.katex .mainrm{font-style:normal}.katex .mord+.mop{margin-left:.16667em}.katex .mord+.mbin{margin-left:.22222em}.katex .mord+.mrel{margin-left:.27778em}.katex .mop+.mop,.katex .mop+.mord,.katex .mord+.minner{margin-left:.16667em}.katex .mop+.mrel{margin-left:.27778em}.katex .mop+.minner{margin-left:.16667em}.katex .mbin+.minner,.katex .mbin+.mop,.katex .mbin+.mopen,.katex .mbin+.mord{margin-left:.22222em}.katex .mrel+.minner,.katex .mrel+.mop,.katex .mrel+.mopen,.katex .mrel+.mord{margin-left:.27778em}.katex .mclose+.mop{margin-left:.16667em}.katex .mclose+.mbin{margin-left:.22222em}.katex .mclose+.mrel{margin-left:.27778em}.katex .mclose+.minner,.katex .minner+.mop,.katex .minner+.mord,.katex .mpunct+.mclose,.katex .mpunct+.minner,.katex .mpunct+.mop,.katex .mpunct+.mopen,.katex .mpunct+.mord,.katex .mpunct+.mpunct,.katex .mpunct+.mrel{margin-left:.16667em}.katex .minner+.mbin{margin-left:.22222em}.katex .minner+.mrel{margin-left:.27778em}.katex .minner+.minner,.katex .minner+.mopen,.katex .minner+.mpunct{margin-left:.16667em}.katex .mbin.mtight,.katex .mclose.mtight,.katex .minner.mtight,.katex .mop.mtight,.katex .mopen.mtight,.katex .mord.mtight,.katex .mpunct.mtight,.katex .mrel.mtight{margin-left:0}.katex .mclose+.mop.mtight,.katex .minner+.mop.mtight,.katex .mop+.mop.mtight,.katex .mop+.mord.mtight,.katex .mord+.mop.mtight{margin-left:.16667em}.katex .vlist-t{display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;vertical-align:bottom}.katex .vlist>span{display:block;height:0}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;vertical-align:bottom;font-size:1px;width:2px}.katex .fontsize-ensurer,.katex .llap>.fix,.katex .mfrac .frac-line,.katex .mspace,.katex .mtable .arraycolsep,.katex .mtable .vertical-separator,.katex .nulldelimiter,.katex .rlap>.fix,.katex .rule,.katex .sizing{display:inline-block}.katex .msupsub{text-align:left}.katex .accent>.vlist-t,.katex .mfrac>span>span,.katex .mtable .col-align-c>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .mfrac .frac-line{width:100%;border-bottom-style:solid}.katex .mspace.negativethinspace{margin-left:-.16667em}.katex .mspace.thinspace{width:.16667em}.katex .mspace.negativemediumspace{margin-left:-.22222em}.katex .mspace.mediumspace{width:.22222em}.katex .mspace.thickspace{width:.27778em}.katex .mspace.sixmuspace{width:.333333em}.katex .mspace.eightmuspace{width:.444444em}.katex .mspace.enspace{width:.5em}.katex .mspace.twelvemuspace{width:.666667em}.katex .mspace.quad{width:1em}.katex .mspace.qquad{width:2em}.katex .llap,.katex .rlap{width:0;position:relative}.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .llap>.inner{right:0}.katex .rlap>.inner{left:0}.katex .katex-logo .a{font-size:.75em;margin-left:-.32em;position:relative;top:-.2em}.katex .katex-logo .t{margin-left:-.23em}.katex .katex-logo .e{margin-left:-.1667em;position:relative;top:.2155em}.katex .katex-logo .x{margin-left:-.125em}.katex .rule{border:0 solid;position:relative}.katex .overline .overline-line,.katex .underline .underline-line{display:inline-block;width:100%;border-bottom-style:solid}.katex .sqrt>.root{margin-left:.27777778em;margin-right:-.55555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.83333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.16666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.66666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.45666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.71428571em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.85714286em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.14285714em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571429em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857143em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71428571em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714286em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857143em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96285714em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55428571em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.55555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.66666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.77777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.88888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.11111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.30444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.41666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.58333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.66666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.83333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72833333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.34722222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.41666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.48611111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.55555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.69444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.83333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.44027778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.28935185em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.34722222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.40509259em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.46296296em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.52083333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.69444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.83333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.20023148em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981481em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108004em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.28929605em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.33751205em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.38572806em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.43394407em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216008em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.57859209em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.69431051em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.83317261em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.19961427em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.20096463em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.24115756em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.28135048em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.32154341em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.36173633em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.40192926em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.48231511em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.57877814em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.69453376em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.83360129em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent .accent-body>span{width:0}.katex .accent .accent-body.accent-vec>span{position:relative;left:.326em}.katex .accent .accent-body.accent-hungarian>span{position:relative;left:.25em}.katex .mtable .vertical-separator{margin:0 -.025em;border-right:.05em solid #000}.katex .stretchy,.katex svg{width:100%;display:block}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex .mover,.katex .munder,.katex .x-arrow,div.mermaid{text-align:center}.katex svg{position:absolute}.katex svg path{fill:currentColor}.katex svg line{stroke:currentColor}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .x-arrow-pad{padding:0 .5em}.katex .boxpad{padding:0 .3em}.katex .fbox{box-sizing:border-box;border:.04em solid #000}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap+.mbin,.katex .cancel-lap+.mord,.katex .cancel-lap+.msupsub,.katex .mbin+.cancel-lap,.katex .mord+.cancel-lap{margin-left:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}body{margin:0;padding:0}.markdown-body{min-width:256px;max-width:978px;margin:0 auto;padding:20px;font-size:14px}.markdown-body h1{font-size:2.25em}.markdown-body h2{font-size:1.75em}.markdown-body h3{font-size:1.5em}.markdown-body h4{font-size:1.25em}.markdown-body h5,.markdown-body h6{font-size:1em}div.mermaid svg{height:auto}hr.footnotes-sep{margin:64px 0 32px;height:1px}.footnotes{font-size:90%;padding-left:16px}li.footnote-item>p{margin:8px 0}.danger,.info,.success,.warning{padding:15px;margin-bottom:20px;border:1px solid transparent;border-radius:4px}.danger>p:last-child,.info>p:last-child,.success>p:last-child,.warning>p:last-child{margin-bottom:0}.success{color:#3c763d;background-color:#dff0d8;border-color:#d6e9c6}.info{color:#31708f;background-color:#d9edf7;border-color:#bce8f1}.warning{color:#8a6d3b;background-color:#fcf8e3;border-color:#faebcc}.danger{color:#a94442;background-color:#f2dede;border-color:#ebccd1}abbr[title]{cursor:help;border-bottom:1px dotted #777}ul.table-of-contents li{margin:4px 0}.markdown-body table{border-spacing:0;border-collapse:collapse;width:auto;display:table;}.markdown-body table td,.markdown-body table th{word-break:break-all} 数据库技术进行优化,包括给字段加索引,设置唯一性约束等等; 查询过滤工作在数据库语句中做,不要放在代码中完成(看情况); 如果要一次查询出集合的数量,使用count函数,而不是len函数,但是如果后面还需要到集合,那就用len,因为count还需要进行一次数据库的操作; 避免过多的使用count和exists函数; 如果需要查询对象的外键,则使用外键字段而不是使用关联的外键的对象的主键; 如果想要查询其他表的数据,则加上select_related(ForeignKey字段名,其实就是主动联表查询,性能也会下降),如果有多个,则在括号中加上; 加only参数是从查询结果中只取某个字段,而另外一个defer方法则是从查询结果中排除某个字段; 不要获取你不需要的东西,可以通过values和value_list实现; 在任何位置使用QuerySet.exists()或者QuerySet.count()都会导致额外的查询; 不要做无所谓的排序,排序并非没有代价,每个排序的字段都是数据库必须执行的操作; 如果要插入多条数据,则使用bulk_create来批量插入,减少sql查询的数量; 对于缓存的QuerySet对象使用with标签,可以让数据被缓存起来使用; 使用QuerySet.extra明确的指出要查询的字段; 批量的更新和删除则使用Queryset.update和delete函数,但是更新操作注意对象的缓存; 使用QuerySet.Iterator迭代大数据; 当你获得一个queryset的时候,django会缓存下来,保存在内存中,如果需要对queryset进行多次的循环,那么这种缓存无可厚非; 如果想判断是否存在外键,只需要判断外键的id即可; 不要在循环中查询,而是提前取出,并且做好映射关系,这样在循环中直接通过字典的形式获取到; 当计算出一个QuerySet的时候,如果还需要进行多次循环的话,则可以先保留着这个缓存,但是如果只是使用一次的话,没有必要使用到缓存; 参考:orm优化
例子:
a.b_id # 正确
a.b.id # 错误比如:a表存在外键b表
a.b.all() # 错误
values返回的是字典数组,比如:[{'key1': value1, 'key2': value2}, {'key1': value3, 'key2': value4}]
value_list返回的是tuple数组 [('value1', 'value2'), ('value3', 'value4')]
value_list+flat=True返回的是数组 ['value1', ...]# Don't waste a query if you are using the queryset
books = Book.objects.filter(..)
if len(books) > 5:
do_stuff_with_books(books)
# If you aren't using the queryset use count
books = Book.objects.filter(..)
if books.count() > 5:
do_some_stuff()
# But never
if len(Book.objects.filter(..)) > 5:
do_some_stuff()
但是如果你只需要进行一次的循环,那么其实并不需要缓存,这个使用就可以使用iterator;比如:
for book in Books.objects.all().iterator():
do_stuff(book)
python优化:
http://www.atjiang.com/2scoopsdjango1.8-24-finding-and-reducing-bottlenecks/
相关文章
- 09-17django全文检索模块的使用
- 09-17Django学习day2——Django安装与环境配置
- 09-17django 开发经验
- 09-17Django搭建个人博客系列: 环境准备及简单的博客系统搭建
- 09-17django_models_一对一关系
- 09-17【deeplearning.ai】深度学习(4):优化神经网络(2)
- 09-17Django:表结构发生变化需要执行命令
- 09-17批量数据插入优化
- 09-17itest work 开源接口测试&敏捷测试管理平台 9.5.0 GA_u1,优化及修复关键 BUG
- 09-17F5 吴静涛F5 吴静涛:从四个维度看TCP协议优化:从四个维度看TCP协议优化