.kbd[data-astro-cid-b7nr5quv]{display:inline-flex!important;align-items:center!important;justify-content:center!important;background-color:#e5e7eb!important;color:#111827!important;border:1px solid #9ca3af!important;border-radius:.2rem!important;padding:0 .25rem!important;font-family:ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,Liberation Mono,Courier New,monospace!important;font-size:.7rem!important;font-weight:700!important;min-width:1.25rem!important;height:18px!important;box-shadow:0 1px #0000001a!important;line-height:1.4!important;margin:0!important}.dark .kbd[data-astro-cid-b7nr5quv]{background-color:#2d3748;color:#000;border-color:#4a5568;font-weight:800;text-shadow:none}.hint-item[data-astro-cid-b7nr5quv]{transition:transform .15s ease-in-out,background-color .15s ease-in-out!important;box-shadow:0 1px 3px #0003!important}.hint-item[data-astro-cid-b7nr5quv]:hover{transform:translateY(-1px)!important;background-color:#9ca3af!important}.dark .hint-item[data-astro-cid-b7nr5quv]{background-color:#4a5568;border-color:#6b7280}.dark .hint-item[data-astro-cid-b7nr5quv]:hover{background-color:#4a5568}.dark .hint-separator[data-astro-cid-b7nr5quv]{color:#a0aec0}.dark .hint-action[data-astro-cid-b7nr5quv]{color:#e2e8f0!important;font-weight:500}.hints-container[data-astro-cid-ewhp3pbs]{transition:height .3s ease-in-out}.hints-wrapper[data-astro-cid-ewhp3pbs]{display:flex}.hints-label[data-astro-cid-ewhp3pbs]{white-space:nowrap;transition:opacity .3s ease-in-out}.hints-container .hint,.hints-container .hint-item{pointer-events:none!important;user-select:none!important;cursor:default!important;-webkit-touch-callout:none!important;-webkit-user-select:none!important;-khtml-user-select:none!important;-moz-user-select:none!important;-ms-user-select:none!important}.hints-container .hint,.hints-container .hint:hover,.hints-container .hint:focus,.hints-container .hint:focus-within,.hints-container .hint:active,.hints-container .hint:visited,.hints-container .hint *,.hints-container .hint *:hover,.hints-container .hint *:focus,.hints-container .hint *:active,.hints-container .hint-item,.hints-container .hint-item:hover,.hints-container .hint-item:focus,.hints-container .hint-item:active,.hints-container .hint-item[data-astro-cid]:hover,.hints-container .hint-item[data-astro-cid-b7nr5quv]:hover{color:inherit!important;background-color:inherit!important;border-color:inherit!important;box-shadow:none!important;filter:none!important;transform:none!important;opacity:1!important;text-decoration:none!important;outline:none!important;scale:1!important;background-image:none!important;transition:none!important;animation:none!important}.hints-container .hint-item[data-astro-cid-b7nr5quv]:hover,.hints-container .hint-item[data-astro-cid]:hover,.hints-container [class^=hint-item][data-astro-cid]:hover{background-color:inherit!important}.hints-container [data-astro-cid]:hover,.hints-container [data-astro-cid-b7nr5quv]:hover,.hints-container [data-astro-cid] *:hover{background-color:inherit!important;color:inherit!important}.calculator-card[data-astro-cid-5yrcm5uu]{cursor:default;margin-top:0!important}.chevron-icon[data-astro-cid-5yrcm5uu]{will-change:transform;transition:transform .25s ease-in-out;transform-origin:center}.summary[data-astro-cid-5yrcm5uu][aria-expanded=true] .chevron-icon[data-astro-cid-5yrcm5uu]{transform:rotate(180deg)}.summary[data-astro-cid-5yrcm5uu][aria-expanded=false] .chevron-icon[data-astro-cid-5yrcm5uu]{transform:rotate(0)}.content[data-astro-cid-5yrcm5uu]{max-height:0;opacity:0;transition:max-height .25s ease-in-out,opacity .25s ease-in-out;overflow:hidden}.content[data-astro-cid-5yrcm5uu].expanded{opacity:1;overflow:visible}@keyframes pulse-badge{0%,to{transform:scale(1)}50%{transform:scale(2)}}.pulse-animation[data-astro-cid-5yrcm5uu]{animation:pulse-badge .4s ease-in-out}.rounded-checkbox[data-astro-cid-5yrcm5uu]{height:1rem;width:1rem;transition-property:color,background-color,border-color,text-decoration-color,fill,stroke;transition-duration:.2s;transition-timing-function:cubic-bezier(.4,0,.2,1)}.calculator-card[data-astro-cid-5yrcm5uu] button[data-astro-cid-5yrcm5uu],.calculator-card[data-astro-cid-5yrcm5uu] input[data-astro-cid-5yrcm5uu][type=checkbox]{cursor:pointer}.calculator-card[data-astro-cid-5yrcm5uu] h2[data-astro-cid-5yrcm5uu],.calculator-card[data-astro-cid-5yrcm5uu] .drag-handle[data-astro-cid-5yrcm5uu],.calculator-card[data-astro-cid-5yrcm5uu] .summary[data-astro-cid-5yrcm5uu],.calculator-card[data-astro-cid-5yrcm5uu] label[data-astro-cid-5yrcm5uu],.calculator-card[data-astro-cid-5yrcm5uu] button[data-astro-cid-5yrcm5uu]:not(.copy-result-btn),.calculator-card[data-astro-cid-5yrcm5uu] .round-checkbox-group[data-astro-cid-5yrcm5uu]{user-select:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}.drag-handle[data-astro-cid-5yrcm5uu]{touch-action:none;transition:all .2s;cursor:grab;width:30px;height:30px;display:flex;flex-direction:column;justify-content:center;align-items:center;border-radius:4px}.drag-handle[data-astro-cid-5yrcm5uu]:hover{background-color:#0000000d}.dark .drag-handle[data-astro-cid-5yrcm5uu]:hover{background-color:#ffffff0d}.drag-handle[data-astro-cid-5yrcm5uu]:active,.sortable-chosen[data-astro-cid-5yrcm5uu] .drag-handle[data-astro-cid-5yrcm5uu]{cursor:grabbing;background-color:#0000001a}.dark .drag-handle[data-astro-cid-5yrcm5uu]:active,.dark .sortable-chosen[data-astro-cid-5yrcm5uu] .drag-handle[data-astro-cid-5yrcm5uu]{background-color:#ffffff1a}.sortable-ghost{opacity:.6!important;background-color:#87cefa26!important;border:1px dashed #87cefa!important}.sortable-chosen{box-shadow:0 0 15px #3b82f64d!important;z-index:10!important}.sortable-drag{cursor:grabbing!important;opacity:.9!important}@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular.BQhdFMY1.woff2) format("woff2"),url(/assets/KaTeX_AMS-Regular.DMm9YOAa.woff) format("woff"),url(/assets/KaTeX_AMS-Regular.DRggAlZN.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Caligraphic-Bold.Dq_IR9rO.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Bold.BEiXGLvX.woff) format("woff"),url(/assets/KaTeX_Caligraphic-Bold.ATXxdsX0.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Caligraphic-Regular.Di6jR-x-.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Regular.CTRA-rTL.woff) format("woff"),url(/assets/KaTeX_Caligraphic-Regular.wX97UBjC.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Fraktur-Bold.CL6g_b3V.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Bold.BsDP51OF.woff) format("woff"),url(/assets/KaTeX_Fraktur-Bold.BdnERNNW.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Fraktur-Regular.CTYiF6lA.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Regular.Dxdc4cR9.woff) format("woff"),url(/assets/KaTeX_Fraktur-Regular.CB_wures.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Main-Bold.Cx986IdX.woff2) format("woff2"),url(/assets/KaTeX_Main-Bold.Jm3AIy58.woff) format("woff"),url(/assets/KaTeX_Main-Bold.waoOVXN0.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Main-BoldItalic.DxDJ3AOS.woff2) format("woff2"),url(/assets/KaTeX_Main-BoldItalic.SpSLRI95.woff) format("woff"),url(/assets/KaTeX_Main-BoldItalic.DzxPMmG6.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Main-Italic.NWA7e6Wa.woff2) format("woff2"),url(/assets/KaTeX_Main-Italic.BMLOBm91.woff) format("woff"),url(/assets/KaTeX_Main-Italic.3WenGoN9.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Main-Regular.B22Nviop.woff2) format("woff2"),url(/assets/KaTeX_Main-Regular.Dr94JaBh.woff) format("woff"),url(/assets/KaTeX_Main-Regular.ypZvNtVU.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Math-BoldItalic.CZnvNsCZ.woff2) format("woff2"),url(/assets/KaTeX_Math-BoldItalic.iY-2wyZ7.woff) format("woff"),url(/assets/KaTeX_Math-BoldItalic.B3XSjfu4.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Math-Italic.t53AETM-.woff2) format("woff2"),url(/assets/KaTeX_Math-Italic.DA0__PXp.woff) format("woff"),url(/assets/KaTeX_Math-Italic.flOr_0UB.ttf) format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/assets/KaTeX_SansSerif-Bold.D1sUS0GD.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Bold.DbIhKOiC.woff) format("woff"),url(/assets/KaTeX_SansSerif-Bold.CFMepnvq.ttf) format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/assets/KaTeX_SansSerif-Italic.C3H0VqGB.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Italic.DN2j7dab.woff) format("woff"),url(/assets/KaTeX_SansSerif-Italic.YYjJ1zSn.ttf) format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/assets/KaTeX_SansSerif-Regular.DDBCnlJ7.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Regular.CS6fqUqJ.woff) format("woff"),url(/assets/KaTeX_SansSerif-Regular.BNo7hRIc.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Script-Regular.D3wIWfF6.woff2) format("woff2"),url(/assets/KaTeX_Script-Regular.D5yQViql.woff) format("woff"),url(/assets/KaTeX_Script-Regular.C5JkGWo-.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size1-Regular.mCD8mA8B.woff2) format("woff2"),url(/assets/KaTeX_Size1-Regular.C195tn64.woff) format("woff"),url(/assets/KaTeX_Size1-Regular.Dbsnue_I.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size2-Regular.Dy4dx90m.woff2) format("woff2"),url(/assets/KaTeX_Size2-Regular.oD1tc_U0.woff) format("woff"),url(/assets/KaTeX_Size2-Regular.B7gKUWhC.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size3-Regular.gV2CO0n9.woff2) format("woff2"),url(/assets/KaTeX_Size3-Regular.CTq5MqoE.woff) format("woff"),url(/assets/KaTeX_Size3-Regular.DgpXs0kz.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size4-Regular.Dl5lxZxV.woff2) format("woff2"),url(/assets/KaTeX_Size4-Regular.BF-4gkZK.woff) format("woff"),url(/assets/KaTeX_Size4-Regular.DWFBv043.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Typewriter-Regular.CO6r4hn1.woff2) format("woff2"),url(/assets/KaTeX_Typewriter-Regular.C0xS9mPB.woff) format("woff"),url(/assets/KaTeX_Typewriter-Regular.D3Ib7_Hf.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:-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}.input-wrapper[data-astro-cid-rcnrijza]{display:flex;align-items:center;max-width:var(--max-width, 125px);width:100%}.hidden-text[data-astro-cid-rcnrijza]{position:absolute;visibility:hidden;white-space:pre;font-family:inherit;font-size:inherit;letter-spacing:normal;padding:8px;min-width:var(--initial-width, 100px)}.expandable-input[data-astro-cid-rcnrijza]{width:var(--initial-width, 100px);min-width:var(--initial-width, 100px);max-width:100%;transition:width .2s ease;text-align:center;cursor:text;border:none;outline:none;background:transparent}.elipsis-left[data-astro-cid-rcnrijza],.elipsis-right[data-astro-cid-rcnrijza]{font-weight:400;padding:0;display:none;position:relative;top:5px;opacity:.8}.input-container[data-astro-cid-rcnrijza]{position:relative;max-width:var(--max-width, 125px);width:100%}#original-value-equation[data-astro-cid-2ml7hhvj]{overflow-x:auto;padding-bottom:.5rem}#original-value-equation[data-astro-cid-2ml7hhvj].overflow{cursor:grab}#original-value-equation[data-astro-cid-2ml7hhvj].overflow:active{cursor:grabbing}.tip-input-container[data-astro-cid-b4b5jh7j]{position:relative}#tip-dropdown[data-astro-cid-b4b5jh7j]{max-height:200px;overflow-y:auto;box-shadow:0 4px 6px -1px #0000001a,0 2px 4px -1px #0000000f}#tip-input[data-astro-cid-b4b5jh7j]{padding-right:2rem}#tip-dropdown[data-astro-cid-b4b5jh7j]{transform-origin:top;transition:transform .15s ease-out,opacity .15s ease-out;opacity:0;transform:scaleY(.8)}#tip-dropdown[data-astro-cid-b4b5jh7j]:not(.hidden){opacity:1;transform:scaleY(1)}#split-dropdown[data-astro-cid-b4b5jh7j]{max-height:200px;overflow-y:auto;box-shadow:0 4px 6px -1px #0000001a,0 2px 4px -1px #0000000f;transform-origin:top;transition:transform .15s ease-out,opacity .15s ease-out;opacity:0;transform:scaleY(.8)}#split-dropdown[data-astro-cid-b4b5jh7j]:not(.hidden){opacity:1;transform:scaleY(1)}#percentage-equation[data-astro-cid-jxuclcvz]{overflow-x:auto;padding-bottom:1rem}#percentage-equation[data-astro-cid-jxuclcvz].overflow{cursor:grab}#percentage-equation[data-astro-cid-jxuclcvz].overflow:active{cursor:grabbing}section[data-astro-cid-av4muyj3][id$=-section]{margin:0!important;padding:0!important}body,html{cursor:default}.panel-slide-down[data-astro-cid-av4muyj3]{animation:slide-down .3s ease-out forwards}.panel-slide-up[data-astro-cid-av4muyj3]{animation:slide-up .3s ease-in forwards}@keyframes slide-down{0%{opacity:0;transform:translateY(-15px)}to{opacity:1;transform:translateY(0)}}@keyframes slide-up{0%{opacity:1;transform:translateY(0)}to{opacity:0;transform:translateY(-15px)}}.paste-btn-highlight{animation:paste-btn-glow 1s ease-in-out}@keyframes paste-btn-glow{0%{box-shadow:0 0 #3b82f600;transform:scale(1)}30%{box-shadow:0 0 10px #3b82f699;transform:scale(1.1)}to{box-shadow:0 0 #3b82f600;transform:scale(1)}}
