:root{--h1-color: #FA8F83;--task-container-color: #b5b3b3;--loading-color1: #FFF0E7;--loading-color2: #f5cab0;--loading-color3: #b6a093;--loading-color4: #0000ff;--plan-starter-color-background: #FFF;--plan-starter-color-hover: #F8F8FC;--plan-starter-color: #333;--plan-developer-color-background: #000;--plan-developer-color-hover: #333;--plan-developer-color: #e3edf4;--plan-pro-color-background: #ffc400;--plan-pro-color-hover: #f3d975;--plan-pro-color: #000;--plan-basic-color-background: #B31F93;--plan-basic-color-hover: #cf6cb9;--plan-basic-color: #FFF;--primary-color: #000;--primary-button-color: #0A0D60;--primary-button-color-hover: #FFF;--primary-button-color-border: #0A0D60;--primary-button-color-border-hover: #0A0D60;--primary-button-color-background: transparent;--primary-button-color-background-hover: #0A0D60;--button-border-color: #e4e4ef;--button-background-color: #FFF;--button-background-color-hover: #f9f9f9;--button-color: #333;--button-color-hover: #FFF;--panel-color: #f9f9f9;--panel-color-user: #FFF0E7;--panel-color-user-fine-tuning: #dfdfdf;--header-color: #F0F0F0;--header-background-color: #FFF;--header-border-color: #F0F0F0;--menu-color: #0A0D60;--menu-active-color:#0A0D60;--menu-active-background-color: #E5D8D0;--menu-hover-color: #E5D8D0;--font-color: #0A0D60;--background-color: #FFF;--sidebar-background-color: #FFF0E7;--sidebar-border-color: #FFF0E7;--sidebar-width: 235px;--input-background-color: #F1F2F2;--input-background-color-hover: #F1F2F2;--input-background-color-focus: #e9ebf3;--input-border-color: #F1F2F2;--input-border-color-focus: #e9ebf3;--highlight-color: #b31f93;--disabled-color: rgb(183 183 192);--footnote-color: rgb(183 183 192);--error-background-color: #1c1c1c;--error-color: red;--info-background-color: #c8e6f3;--info-link-color: #2580F0;--link-box-background-color: #d5d5d5;--max-width: 670px;--width: 90vw }@media (min-width: 421px){:root{--width: 75vw}}@media (min-width: 721px){:root{--width: 65vw}}@media (min-width: 1024px){:root{--width: 82vw}}.dark-theme{--h1-color: #FA8F83;--task-container-color: #b5b3b3;--loading-color1: #FFF0E7;--loading-color2: #f5cab0;--loading-color3: #b6a093;--loading-color4: #0000ff;--plan-starter-color-background: #FFF;--plan-starter-color-hover: #F8F8FC;--plan-starter-color: #333;--plan-developer-color-background: #000;--plan-developer-color-hover: #333;--plan-developer-color: #e3edf4;--plan-pro-color-background: #ffc400;--plan-pro-color-hover: #f3d975;--plan-pro-color: #000;--plan-basic-color-background: #B31F93;--plan-basic-color-hover: #cf6cb9;--plan-basic-color: #FFF;--primary-color: #000;--primary-button-color: #0A0D60;--primary-button-color-hover: #FFF;--primary-button-color-border: #0A0D60;--primary-button-color-border-hover: #0A0D60;--primary-button-color-background: transparent;--primary-button-color-background-hover: #0A0D60;--button-border-color: #e4e4ef;--button-background-color: #FFF;--button-background-color-hover: #f9f9f9;--button-color: #333;--button-color-hover: #FFF;--panel-color: #f9f9f9;--panel-color-user: #FFF0E7;--panel-color-user-fine-tuning: #dfdfdf;--header-color: #F0F0F0;--header-background-color: #FFF;--header-border-color: #F0F0F0;--menu-color: #0A0D60;--menu-active-color:#0A0D60;--menu-active-background-color: #E5D8D0;--menu-hover-color: #E5D8D0;--font-color: #0A0D60;--background-color: #FFF;--sidebar-background-color: #FFF0E7;--sidebar-border-color: #FFF0E7;--sidebar-width: 235px;--input-background-color: #F1F2F2;--input-background-color-hover: #F1F2F2;--input-background-color-focus: #e9ebf3;--input-border-color: #F1F2F2;--input-border-color-focus: #e9ebf3;--highlight-color: #b31f93;--disabled-color: rgb(183 183 192);--footnote-color: rgb(183 183 192);--error-background-color: #1c1c1c;--error-color: red;--info-background-color: #c8e6f3;--info-link-color: #2580F0;--link-box-background-color: #d5d5d5}[class^=icon-],[class*=" icon-"]{width:32px;height:32px;background-repeat:no-repeat;background-size:contain;margin-right:10px;display:inline-block;vertical-align:middle}.icon-embeddings{background-image:url(/assets/images/material-icons/star_24dp_E8EAED_FILL0_wght400_GRAD0_opsz24.svg)}.icon-system{background-image:url("data:image/svg+xml;utf8,%3Csvg viewBox=%22221.535 189.224 127.323 127.932%22 xmlns=%22http://www.w3.org/2000/svg%22%3E%3Cdefs%3E%3CclipPath id=%22a%22%3E%3Cpath fill=%22currentColor%22 transform=%22translate(3 3)%22 d=%22M0 0h24v24H0z%22/%3E%3C/clipPath%3E%3C/defs%3E%3Crect x=%22221.072%22 y=%22189.128%22 width=%22128%22 height=%22128%22 style=%22fill: currentColor; stroke: currentColor; stroke-width: 0px; visibility: hidden;%22/%3E%3Cg clip-path=%22url(%23a)%22 transform=%22matrix(6.659535, 0, 0, 6.659535, 185.174635, 153.238142)%22%3E%3Cpath d=%22M13.5 9a.5.5 0 0 1 .482.368l.448 1.641a6.5 6.5 0 0 0 4.56 4.561l1.642.448a.5.5 0 0 1 0 .964l-1.641.448a6.5 6.5 0 0 0-4.561 4.56l-.448 1.642a.5.5 0 0 1-.964 0l-.448-1.641a6.5 6.5 0 0 0-4.56-4.561l-1.642-.448a.5.5 0 0 1 0-.964l1.641-.448a6.5 6.5 0 0 0 4.561-4.56l.448-1.642A.5.5 0 0 1 13.5 9Z%22 style=%22fill: currentColor;%22/%3E%3C/g%3E%3C/svg%3E")}.dark-theme .icon-system{background-image:url("data:image/svg+xml;utf8,%3Csvg viewBox=%22221.535 189.224 127.323 127.932%22 xmlns=%22http://www.w3.org/2000/svg%22%3E%3Cdefs%3E%3CclipPath id=%22a%22%3E%3Cpath fill=%22white%22 transform=%22translate(3 3)%22 d=%22M0 0h24v24H0z%22/%3E%3C/clipPath%3E%3C/defs%3E%3Crect x=%22221.072%22 y=%22189.128%22 width=%22128%22 height=%22128%22 style=%22fill: white; stroke: white; stroke-width: 0px; visibility: hidden;%22/%3E%3Cg clip-path=%22url(%23a)%22 transform=%22matrix(6.659535, 0, 0, 6.659535, 185.174635, 153.238142)%22%3E%3Cpath d=%22M13.5 9a.5.5 0 0 1 .482.368l.448 1.641a6.5 6.5 0 0 0 4.56 4.561l1.642.448a.5.5 0 0 1 0 .964l-1.641.448a6.5 6.5 0 0 0-4.561 4.56l-.448 1.642a.5.5 0 0 1-.964 0l-.448-1.641a6.5 6.5 0 0 0-4.56-4.561l-1.642-.448a.5.5 0 0 1 0-.964l1.641-.448a6.5 6.5 0 0 0 4.561-4.56l.448-1.642A.5.5 0 0 1 13.5 9Z%22 style=%22fill: white;%22/%3E%3C/g%3E%3C/svg%3E")}.icon-k1{background-image:url(/assets/images/katey-icon.svg)}.dark-theme .icon-k1{background-image:url(/assets/images/katey-icon.svg)}.icon-openai{background-image:url(/assets/images/openai.svg)}.icon-gemini{background-image:url(/assets/images/gemini.svg)}.icon-metaai{background-image:url(/assets/images/meta.svg)}.loader{width:0;height:10px;border-radius:2px;background:linear-gradient(90deg,var(--loading-color1),var(--loading-color2),var(--loading-color1),var(--loading-color2));background-size:400% 100%;animation:colorChange 5s linear infinite;margin:5px}.loader.l1{animation:colorChange 5s linear infinite,widthChange90 .5s ease-out forwards}.loader.l2{animation:colorChange 5s linear infinite,widthChange90 .6s ease-out forwards}.loader.l3{animation:colorChange 5s linear infinite,widthChange70 .7s ease-out forwards}@keyframes colorChange{0%{background-position:0% 0%}50%{background-position:100% 0%}to{background-position:0% 0%}}@keyframes widthChange90{0%{width:0}to{width:95%}}@keyframes widthChange70{0%{width:0}to{width:70%}}.btn{display:flex;align-items:center;width:auto!important;border:1px solid var(--button-border-color)!important;background-color:var(--button-background-color)!important;color:var(--button-color)!important;height:35px!important;border-radius:7px;padding:5px;margin:0;cursor:pointer}.btn:not(:disabled):hover{background-color:var(--button-background-color-hover)!important}.btn.btn-big{width:100%!important;height:56px!important;display:flex;align-items:center;justify-content:center;text-align:center;font-size:16px}.btn.btn-rounded{border-radius:30px!important}.btn.btn-no-border{border:none!important;background-color:transparent!important}.btn.btn-no-border:hover{color:var(--button-color-hover)!important;background-color:transparent!important}.btn.btn-dash-border{border:1px dashed var(--button-border-color)!important;background-color:transparent!important}.btn.btn-upgrade{background-color:var(--plan-pro-color-background)!important;color:var(--plan-pro-color)!important}.btn.btn-upgrade:hover{background-color:var(--plan-pro-color-hover)!important}.btn.btn-primary{background-color:var(--primary-button-color-background)!important;color:var(--primary-button-color)!important;border:2px solid var(--primary-button-color-border)!important}.btn.btn-primary:hover{background-color:var(--primary-button-color-background-hover)!important;color:var(--primary-button-color-hover)!important}.btn.btn-center{height:60px!important;display:flex;flex-direction:column;align-items:center;justify-content:center;margin:5px!important}.btn.btn-center [class^=icon-],.btn.btn-center [class*=" icon-"]{margin:0 0 5px!important}.btn:disabled{background-color:var(--input-border-color)!important;color:#a3a9b4!important;cursor:not-allowed}.btn .button-content{display:flex;justify-content:space-between;align-items:center;width:100%}.social-button{height:56px!important;display:flex;align-items:center;justify-content:center;width:100%;background:#fff;border:1px solid var(--primary-button-color-border);font-size:16px;padding:15px;border-radius:30px;cursor:pointer}.social-button mat-icon{margin-right:5px}.social-button:hover{background:#f5f5f5}.spinner-border{display:inline-block;width:20px;height:20px;border:3px solid rgba(0,0,0,.3);border-radius:50%;border-top-color:red;animation:spin 1s ease-in-out infinite}@keyframes spin{to{transform:rotate(360deg)}}.error{background-color:transparent;color:var(--error-color)}.error .buttons{display:flex;flex-direction:row;justify-content:left;margin-top:20px}.error .buttons button{margin-right:10px}.viewport{display:flex;flex-direction:column;padding:0 0 20px;margin-top:0;width:var(--width);max-width:var(--max-width)}.viewport .form{display:flex;flex-direction:column;border-radius:10px;margin:10px 0 0;padding:20px;width:auto;height:auto;background-color:var(--panel-color)}.viewport .form input[type=password],.viewport .form input[type=number],.viewport .form input[type=text],.viewport .form input[type=email],.viewport .form textarea{width:auto;margin-bottom:20px}.row{display:flex;flex-direction:row}.space-between{justify-content:space-between}.center{justify-content:center}.right{justify-content:right}.fill-space{flex:1;display:flex;align-items:center;justify-content:center}.pill{vertical-align:super;background-color:var(--plan-pro-color-background);color:var(--plan-pro-color);border-radius:15px;font-size:11px;margin-left:-5px;padding:5px}.setup{border:3px solid var(--highlight-color)}.setup .btn{margin:10px 2px;padding:0 10px}.plan-basic-border{border:3px solid var(--plan-basic-color-background)}.plan-pro-border{border:3px solid var(--plan-pro-color-background)}.info{padding:10px;background-color:var(--info-background-color);border-radius:15px;display:flex;flex-direction:row}.info a{color:var(--info-link-color)}.info .icon{margin-right:10px}.content{position:relative;margin-top:0;padding-top:0}.content header{position:-webkit-sticky;position:sticky;top:0;left:0;width:100%;background-color:var(--background-color)}.content header .search{margin:0;width:100%}.content header .search input[type=text]{margin:20px 0;box-sizing:border-box;width:100%}.content header .search button{position:absolute;right:10px;top:25px}.content .list ul{list-style:none;margin:0;padding:0}.content .list ul li{display:flex;justify-content:space-between;align-items:center;border:1px solid var(--input-border-color);border-radius:5px;margin:15px 0;height:auto;padding:5px 10px;font-size:15px}.content .list ul li .left-content{display:flex;flex-direction:row;justify-content:flex-start}.content .list ul li:hover{background-color:var(--button-color-hover);color:var(--font-color)}.content .list ul li a{color:var(--font-color);padding:3px}.logo{z-index:1000;width:auto;padding:10px}.logo a{flex-direction:row;justify-content:left;display:flex;color:var(--primary-color);text-decoration:none;align-items:center}.logo a .icon{display:inline-block;height:32px;width:183px;color:var(--primary-color)!important;margin-top:5px;position:relative}.logo a .icon:before{content:"";position:absolute;top:0;left:0;height:100%;width:100%;background-image:url(/assets/images/kc-logo-oat-blue.svg);background-size:contain;background-repeat:no-repeat}.logo a .title{display:none;font-size:18px;padding:0;margin:0 0 0 5px}.logo a .title span{color:var(--font-color)}@media screen and (min-width: 421px){.logo a .title{display:inline-block}}html,body{padding:0;--mat-tab-header-active-label-text-color: var(--primary-color) !important;--mat-menu-item-label-text-size: 14px;--mat-badge-background-color: var(--plan-pro-color-background);--mat-badge-text-color: var(--plan-pro-color);height:100%;margin:0;font-family:DM Sans,sans-serif;font-size:14px;line-height:22.12px;overflow:hidden}h1,h2,h3,h4,h5,h6{padding:0;font-size:24px!important;color:var(--h1-color)}h1{font-size:32px!important;font-family:"Young Serif",serif;font-weight:400}h1.page-title{margin-top:30px!important;position:relative}a{color:var(--primary-color);text-decoration:underline}a:hover{color:var(--primary-color)}pre{background:#111;padding:20px;border-radius:5px;overflow-x:auto}pre::-webkit-scrollbar{width:10px!important}pre::-webkit-scrollbar-track{background:var(--background-color);border-radius:10px!important}pre::-webkit-scrollbar-thumb{background:#333131!important;border-radius:10px!important}pre::-webkit-scrollbar-thumb:hover{background:#3f3c3c!important}pre[class*=language-]{background:#111!important;position:relative}pre[class*=language-] .copy-button{font-size:12px;background-color:#585555;border-radius:5px;color:#fff;border:none;padding:5px;margin:0;cursor:pointer;position:absolute;top:0;right:0;display:none}pre[class*=language-] .copy-button:before{content:"content_copy";font-family:Material Icons;display:inline-block;vertical-align:middle;margin-right:5px}pre[class*=language-]:hover .copy-button{display:block}code[class*=language-],pre[class*=language-]{font-size:14px!important}p{font-size:18px;line-height:26px}ul li,ol li{margin-bottom:10px;font-size:18px;line-height:26px}input[type=number],input[type=text],input[type=password],input[type=email],select,textarea{border-radius:10px;font-size:14px;background-color:var(--input-background-color);line-height:24px;color:var(--font-color);padding:10px;outline:none;border:1px solid var(--input-border-color);resize:none}input[type=number]:hover,input[type=text]:hover,input[type=password]:hover,input[type=email]:hover,select:hover,textarea:hover{background-color:var(--input-background-color-hover)}input[type=number]:focus,input[type=text]:focus,input[type=password]:focus,input[type=email]:focus,select:focus,textarea:focus{outline:none!important}select{-webkit-appearance:none;-moz-appearance:none;appearance:none;background-image:url('data:image/svg+xml;utf8,<svg fill="currentColor" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M7 10l5 5 5-5z"/></svg>');background-repeat:no-repeat;background-position:right .7em top 50%,0 0;background-size:1.5em auto}.dark-theme select{background-image:url('data:image/svg+xml;utf8,<svg fill="white" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M7 10l5 5 5-5z"/></svg>')}textarea{resize:vertical}textarea::-webkit-scrollbar{width:10px!important;border-radius:10px!important}textarea::-webkit-scrollbar-track{background:var(--input-background-color);border-radius:10px!important}textarea::-webkit-scrollbar-thumb{background:#333131!important;border-radius:10px!important;cursor:pointer}textarea::-webkit-scrollbar-thumb:hover{background:#3f3c3c!important}.bg{background-color:var(--background-color)}code[class*=language-],pre[class*=language-]{color:#f8f8f2;background:0 0;text-shadow:0 1px rgba(0,0,0,.3);font-family:Consolas,Monaco,Andale Mono,Ubuntu Mono,monospace;font-size:1em;text-align:left;white-space:pre;word-spacing:normal;word-break:normal;word-wrap:normal;line-height:1.5;-moz-tab-size:4;-o-tab-size:4;tab-size:4;-webkit-hyphens:none;-moz-hyphens:none;-ms-hyphens:none;hyphens:none}pre[class*=language-]{padding:1em;margin:.5em 0;overflow:auto;border-radius:.3em}:not(pre)>code[class*=language-],pre[class*=language-]{background:#272822}:not(pre)>code[class*=language-]{padding:.1em;border-radius:.3em;white-space:normal}.token.cdata,.token.comment,.token.doctype,.token.prolog{color:#8292a2}.token.punctuation{color:#f8f8f2}.token.namespace{opacity:.7}.token.constant,.token.deleted,.token.property,.token.symbol,.token.tag{color:#f92672}.token.boolean,.token.number{color:#ae81ff}.token.attr-name,.token.builtin,.token.char,.token.inserted,.token.selector,.token.string{color:#a6e22e}.language-css .token.string,.style .token.string,.token.entity,.token.operator,.token.url,.token.variable{color:#f8f8f2}.token.atrule,.token.attr-value,.token.class-name,.token.function{color:#e6db74}.token.keyword{color:#66d9ef}.token.important,.token.regex{color:#fd971f}.token.bold,.token.important{font-weight:700}.token.italic{font-style:italic}.token.entity{cursor:help}@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url("./media/KaTeX_AMS-Regular-U6PRYMIZ.woff2") format("woff2"),url("./media/KaTeX_AMS-Regular-CYEKBG2K.woff") format("woff"),url("./media/KaTeX_AMS-Regular-JKX5W2C4.ttf") format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url("./media/KaTeX_Caligraphic-Bold-5QL5CMTE.woff2") format("woff2"),url("./media/KaTeX_Caligraphic-Bold-WZ3QSGD3.woff") format("woff"),url("./media/KaTeX_Caligraphic-Bold-ZTS3R3HK.ttf") format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url("./media/KaTeX_Caligraphic-Regular-KX5MEWCF.woff2") format("woff2"),url("./media/KaTeX_Caligraphic-Regular-3LKEU76G.woff") format("woff"),url("./media/KaTeX_Caligraphic-Regular-A7XRTZ5Q.ttf") format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url("./media/KaTeX_Fraktur-Bold-2QVFK6NQ.woff2") format("woff2"),url("./media/KaTeX_Fraktur-Bold-T4SWXBMT.woff") format("woff"),url("./media/KaTeX_Fraktur-Bold-WGHVTYOR.ttf") format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url("./media/KaTeX_Fraktur-Regular-2PEIFJSJ.woff2") format("woff2"),url("./media/KaTeX_Fraktur-Regular-PQMHCIK6.woff") format("woff"),url("./media/KaTeX_Fraktur-Regular-5U4OPH2X.ttf") format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url("./media/KaTeX_Main-Bold-YP5VVQRP.woff2") format("woff2"),url("./media/KaTeX_Main-Bold-2GA4IZIN.woff") format("woff"),url("./media/KaTeX_Main-Bold-W5FBVCZM.ttf") format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url("./media/KaTeX_Main-BoldItalic-N4V3DX7S.woff2") format("woff2"),url("./media/KaTeX_Main-BoldItalic-4P4C7HJH.woff") format("woff"),url("./media/KaTeX_Main-BoldItalic-ODMLBJJQ.ttf") format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url("./media/KaTeX_Main-Italic-RELBIK7M.woff2") format("woff2"),url("./media/KaTeX_Main-Italic-SASNQFN2.woff") format("woff"),url("./media/KaTeX_Main-Italic-I43T2HSR.ttf") format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url("./media/KaTeX_Main-Regular-ARRPAO67.woff2") format("woff2"),url("./media/KaTeX_Main-Regular-P5I74A2A.woff") format("woff"),url("./media/KaTeX_Main-Regular-W74P5G27.ttf") format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url("./media/KaTeX_Math-BoldItalic-K4WTGH3J.woff2") format("woff2"),url("./media/KaTeX_Math-BoldItalic-6EBV3DK5.woff") format("woff"),url("./media/KaTeX_Math-BoldItalic-VB447A4D.ttf") format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url("./media/KaTeX_Math-Italic-6KGCHLFN.woff2") format("woff2"),url("./media/KaTeX_Math-Italic-KKK3USB2.woff") format("woff"),url("./media/KaTeX_Math-Italic-SON4MRCA.ttf") format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url("./media/KaTeX_SansSerif-Bold-RRNVJFFW.woff2") format("woff2"),url("./media/KaTeX_SansSerif-Bold-X5M5EMOD.woff") format("woff"),url("./media/KaTeX_SansSerif-Bold-STQ6RXC7.ttf") format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url("./media/KaTeX_SansSerif-Italic-HMPFTM52.woff2") format("woff2"),url("./media/KaTeX_SansSerif-Italic-PSN4QKYX.woff") format("woff"),url("./media/KaTeX_SansSerif-Italic-WTBAZBGY.ttf") format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url("./media/KaTeX_SansSerif-Regular-XIQ62X4E.woff2") format("woff2"),url("./media/KaTeX_SansSerif-Regular-OQCII6EP.woff") format("woff"),url("./media/KaTeX_SansSerif-Regular-2TL3USAE.ttf") format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url("./media/KaTeX_Script-Regular-APUWIHLP.woff2") format("woff2"),url("./media/KaTeX_Script-Regular-A5IFOEBS.woff") format("woff"),url("./media/KaTeX_Script-Regular-72OLXYNA.ttf") format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url("./media/KaTeX_Size1-Regular-5LRUTBFT.woff2") format("woff2"),url("./media/KaTeX_Size1-Regular-4HRHTS65.woff") format("woff"),url("./media/KaTeX_Size1-Regular-7K6AASVL.ttf") format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url("./media/KaTeX_Size2-Regular-LELKET5D.woff2") format("woff2"),url("./media/KaTeX_Size2-Regular-K5ZHAIS6.woff") format("woff"),url("./media/KaTeX_Size2-Regular-222HN3GT.ttf") format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url("./media/KaTeX_Size3-Regular-WQRQ47UD.woff2") format("woff2"),url("./media/KaTeX_Size3-Regular-TLFPAHDE.woff") format("woff"),url("./media/KaTeX_Size3-Regular-UFCO6WCA.ttf") format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url("./media/KaTeX_Size4-Regular-CDMV7U5C.woff2") format("woff2"),url("./media/KaTeX_Size4-Regular-PKMWZHNC.woff") format("woff"),url("./media/KaTeX_Size4-Regular-7PGNVPQK.ttf") format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url("./media/KaTeX_Typewriter-Regular-VBYJ4NRC.woff2") format("woff2"),url("./media/KaTeX_Typewriter-Regular-MJMFSK64.woff") format("woff"),url("./media/KaTeX_Typewriter-Regular-3F5K6SQ6.ttf") format("truetype")}.katex{font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.21"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.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;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.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:.8333333333em}.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:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.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:1.6666666667em}.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:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.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:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.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:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.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:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.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:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.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:.4166666667em}.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:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.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:.8333333333em}.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:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.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:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.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:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.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:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.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:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.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{display:inline-block;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>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.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 svg{fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}
