:root{--Fx5:#636363;--RhZ:#e8e8e8b5;--fgc:#dbdbdbb5;--cpT:pinger-frames-white;--nZ6:#6194bf;--Sdl:#0782ea;--yAh:#5ab0ff;--Rpy:#d9d9d9;--fIE:#d3d3d3;--cOY:#5878ff;--Auc:#fff;--v1S:#0056ff;--eSC:gray;--ZSL:#000;--gtH:#000;--Rt1:#f3f3f3;--h2P:#eeeeee;--iMf:inherit;--ldd:#1111fc;--CyO:inherit;--hzV:#7d7d7d;--lo1:#4c4cff;--asp:#1111fc;--DCY:#989898;--_EI:#d8d8d8;--qWN:darkred;--d9R:#f5f5f5;--Q1J:#d7d7d7;--Qct:#5151ff;--hbw:#1c1c1c;--FO0:royalblue;--prB:#f8e1e1;--ajK:red;--u9K:#6d6c6c}body.tb{--Fx5:#9f9e9e;--RhZ:#1d1d1db5;--fgc:#373737b5;--cpT:pinger-frames-black;--nZ6:#547b9c;--Sdl:#0b69b7;--yAh:#415ae0;--Rpy:#2b315b;--fIE:#2b315b;--cOY:#6678c7;--Auc:#202124;--v1S:#6989e8;--eSC:#555555;--ZSL:#d6d6d6;--gtH:#e1e1e1;--Rt1:#2c2c2c;--h2P:#363636;--iMf:#a4a4a4;--ldd:#6375de;--CyO:#9e9e9e;--hzV:#868686;--lo1:#4c5690;--asp:#4c5690;--DCY:#adadad;--_EI:#828282;--qWN:#bb4f4f;--d9R:#2b2d2c;--Q1J:#3e3e3e;--Qct:#5c6ccc;--hbw:#d0cee5;--FO0:#6375de;--prB:#402929;--ajK:#cf2828;--u9K:#9c9b9b}.chng-style,.trig-style{color:var(--Fx5)!important}.antider-a{color:#6c8bb3}.antider-b{color:#5555e4}.b-lim,.t-lim{position:relative;z-index:1}.arg-is,.b-lim,.t-lim{border:1px solid var(--fgc)!important;background-color:var(--RhZ);cursor:pointer}.arg-is{padding:0 6px}.b-lim,.t-lim{padding:0 10px}.katex-display.fleqn .katex-html .base:first-child{padding-bottom:5px}.pinger{animation-iteration-count:10;animation-timing-function:cubic-bezier(1.0,0,0,1.0);animation-duration:0.4s;animation-name:var(--cpT)}.point-to-left::after{position:absolute!important;right:-9px;font-size:1.5em;content:"\261A";animation-name:blinker;animation-iteration-count:1;animation-timing-function:cubic-bezier(1.0,0,0,1.0);animation-duration:2s}@keyframes pinger-frames-white{from{box-shadow:0 0 5px 1px #b3465f}to{box-shadow:0 0 4px 5px #b3465f}}@keyframes pinger-frames-black{from{box-shadow:0 0 5px 1px #afafaf}to{box-shadow:0 0 4px 5px #afafaf}}@keyframes blinker{from{opacity:1}to{opacity:0}}#link-on-check{-webkit-tap-highlight-color:#0000}.int-link{position:relative;color:var(--nZ6)!important;z-index:1;cursor:pointer}.int-link:hover{color:var(--Sdl)!important}.int-link::after{position:absolute!important;top:125%;left:20%;width:100px;font-size:0.9em;content:"\2192"}.cursor-default{cursor:default!important}.tex-index{position:absolute;top:-12px;left:-6px}.sub-func-color,.int-func-color{border:solid;border-width:1px 1px 1px 5px}.sub-func-color{background:var(--yAh);border-color:var(--yAh)}.int-func-color{background:green;border:solid green}.delimsizinginner{font-weight:400}#math-canvas .ktxt{padding-left:0}#math-canvas .ktx.forced{font-family:'Roboto',sans-serif;font-size:1.1em;letter-spacing:1px}#allscales{font-size:90%;top:0}.scale{font-size:1.1em;padding:2px 5px;border-style:solid;border-color:var(--Rpy)}#allscales>span.allscales-select{background-color:var(--fIE)!important}#link-on-solve{color:var(--cOY);padding:8px 20px;border-radius:2px 2px 0 0;border:0;background:var(--Auc)}#link-on-solve:hover{color:var(--v1S)!important}.tex-equ-blur{color:var(--eSC)}.tex-equ-focus{color:var(--ZSL)}.high-blur{opacity:0.2}#math-canvas-container{display:flex;flex-direction:column;margin:0 20px}#math-canvas{flex-grow:1;font-size:1em;font-family:'Roboto',sans-serif;color:var(--gtH);padding:0 10px 10px 10px;background:var(--Auc);border-radius:0 0 5px 5px;overflow-x:auto}.kcanvas{flex-grow:1;padding:10px 10px 10px 20px;background:var(--Auc)}#math-canvas .kexport{display:flex;align-items:center;justify-content:center;border-width:0;padding:5px}#math-canvas .kexport>div{border-radius:10px;padding:8px 16px;background:var(--Rt1);cursor:pointer}#math-canvas .kexport>div:hover{color:var(--cOY)}.step{border:solid var(--h2P);border-width:0 0 1px 0}.step>div{padding:10px 8px;border-style:solid;border-width:0 0 0 3px}.kmethod.new-step>*,.step.new-step~*{animation-name:faded-appear;animation-duration:0.4s;animation-iteration-count:1;animation-timing-function:cubic-bezier(0.47,0,1,0.11)}.kmethod>.c-row{align-items:center}.kmethod>.c-row>.txt{text-align:center}@keyframes faded-appear{from{opacity:0.4}to{opacity:1}}.ktx,.kxx{padding:6px;white-space:nowrap}#math-canvas .kbx>.ktx,#math-canvas .kbx>.kxx{overflow-x:visible;overflow-y:visible}#math-canvas .kbx>.c-row>.ktx,#math-canvas .kbx>.c-row>.kxx{overflow-x:auto;overflow-y:hidden}#math-canvas .ktx,#math-canvas .kxx{overflow-x:auto;overflow-y:hidden}.c-row.keq>.ktx:nth-child(2){overflow:hidden!important}.ktx>.katex-display{margin:0}.ktx>.katex-display .gray{color:var(--u9K)}.ktx.lktx{padding-left:0}.no-ovrflw{overflow-x:visible!important;overflow-y:visible!important}.txt{color:var(--iMf);align-self:center;padding:2px 6px;flex-shrink:4;font-size:1.05em;max-width:400px;line-height:1.6}.txt.repeat-op{padding:6px;max-width:inherit;line-height:1.3}.txt.ltxt{padding-left:0}.txt .katex{color:var(--gtH);padding:0 4px}.txt .katex-display{margin:0;padding:1em 0}.txt .katex-html{font-size:0.9em}.txt>p{margin:0;padding:8px 0;text-align:start;text-indent:1em}.txt>p.noindent{text-indent:0em}.blue{color:var(--ldd)!important}details.more{align-self:center;font-family:'Roboto',sans-serif;color:var(--CyO);border:1px solid #d1d1d1;border-radius:4px;box-sizing:border-box;padding:8px 16px 0;margin:0 -4px;margin-bottom:6px}details[open].more{color:inherit;max-width:min(550px, 100%);overflow:auto}.more>summary{font-family:'Roboto',sans-serif;font-size:1em;margin:-8px -8px 0;padding:8px;white-space:nowrap;cursor:pointer;user-select:none;-webkit-tap-highlight-color:#0000}details[open].more>summary{margin:-8px 0 0;border-bottom:1px solid #d1d1d1}.pr0{padding-right:0}.pl0{padding-left:0}#math-canvas .cr-st{border:0}#math-canvas .lightblue{color:#5969c3}.cr-in .ktx{font-size:1.05em}.ktx.hktx{font-size:1.05em}.keq{font-size:1.05em;margin-top:12px;border:solid gray;border-width:0 2px 0 0}.kee{font-size:1.05em;margin-top:12px}.c-col.cr-in{border-width:0}.c-col.cr-bn{border-width:0 1px 0 0;border-color:var(--h2P)}#math-canvas .cr-g,#math-canvas .math-links{border-width:0 0 1px 3px;border-radius:0 0 0 10px}.cr-g{border-color:var(--hzV)}.cr-gg{border-color:var(--hzV)}.cr-iq{border-color:brown}.cr-lb{border-color:brown}.cr-cs{border-color:brown}.cr-gn{border-color:green}.cr-ar{border-color:brown}.cr-cn{border-color:brown}.cr-un{border-color:brown}.cr-cr{border-color:green}#math-canvas .cr-ln{border-width:0 0 1px 3px;border-radius:0 0 0 10px}.cr-ln,.cr-ll{border-color:var(--lo1)}.cr-ct{border-color:var(--asp)}.cr-er{border-color:brown}.c-col{display:flex;flex-direction:column}#math-canvas .kbx{display:flex;flex-direction:column;max-width:min(850px, 95%);min-width:100px;align-self:center;box-sizing:border-box;border:1px solid var(--DCY);border-radius:8px;box-shadow:0 1px 1px var(--_EI);padding:4px 10px;overflow-x:auto;overflow-y:hidden}.c-row{flex-grow:1;display:flex;flex-direction:row;align-items:center;justify-content:center}.step>div>div{text-align:center}.green,.txt.green{color:green}.darkgreen,.txt.darkgreen{color:green}.brown,.txt.brown{color:brown}.gray,.txt.gray{color:gray}.olive,.txt.olive{color:olive}.darkred,.txt.darkred{color:var(--qWN)}.teal,.txt.teal{color:teal}.ksmall{font-size:90%}.ktiny{font-size:80%}.kbr{margin:6px}.kkbr{margin:20px}.kgth{padding-top:7px}.kbg{padding-bottom:5px}.ktx::-webkit-scrollbar-track,.kbx::-webkit-scrollbar-track{background-color:var(--d9R);border-radius:16px}.ktx::-webkit-scrollbar-thumb,.kbx::-webkit-scrollbar-thumb{background-color:var(--Q1J)}.ktx::-webkit-scrollbar,.kbx::-webkit-scrollbar{height:14px;background:var(--Auc)}.step>.kmethod{padding:0;border-color:var(--Qct)}.step>.kmethod.forced-step-0:first-child>div>div:last-child{display:flex}.step>.kmethod.forced-step-0:first-child>div>div:last-child::after{align-self:center;padding-left:4px;background-image:url('/https/mathdf.com/logo/various-steps-blue.svg');background-repeat:no-repeat;background-size:contain;background-position:right bottom;height:0.8em;width:0.8em;content:""}.step>.kmethod>div>div{text-decoration:underline}#math-canvas .step>.kmethod>div:hover{color:var(--hbw)}#math-canvas .kmethod>div{color:var(--FO0);text-align:right;cursor:pointer}.step>.kmethod .txt{color:inherit}.kmethod>div:first-child::before{content:"\2023  "}.kmethod .txt{padding-top:10px;padding-bottom:10px}.khline{margin:6px 0;border:solid var(--h2P);border-width:2px 0 0 0}.math-links{display:flex;flex-wrap:wrap;align-items:center;justify-content:center}.math-links{display:flex;flex-wrap:wrap;align-items:center;justify-content:center;border-color:#5969c3}.math-links>a{margin:10px;color:#5969c3}.math-links>a:hover{margin-bottom:9px;border-bottom:1px dashed}#math-canvas .c-inh{color:inherit}.export-link,.export-link-def{-webkit-tap-highlight-color:#0000}.pointer-color{font-size:0.95em;margin-right:5px;padding:2px;border:dashed;border-color:var(--prB)!important;border-width:0 0 1px 0}.p-up::after,.p-down::after{position:absolute;font-size:0.5em;color:var(--ajK)}.p-up::after{bottom:0;content:"\2193"}.p-down::after{top:2px;content:"\2191"}.mat-link .mopen,.mat-link .mclose{font-weight:400}.partg{color:brown}.partf{color:#808080}.partfd{color:#5555e4}@media screen and (max-width:800px){#math-canvas .ktx,#math-canvas .kxx{overflow-x:visible;overflow-y:visible}.c-col.cr-bn{border-width:0}.c-row .no-ovrflw{padding:0!important}.step>.c-col>.c-row{flex-grow:1;display:flex;margin-left:auto;margin-right:auto;flex-direction:row;align-items:center}}@media screen and (max-width:800px){#math-canvas-container{margin:0}#math-canvas{padding:4px 0 4px 2px}#math-canvas .kexport{align-items:center}.kcanvas{padding:10px}.ktx::-webkit-scrollbar,.kbx::-webkit-scrollbar,details[open].more::-webkit-scrollbar{height:2px}#math-canvas .kbx{padding:2px 10px}details[open].more{padding:8px 8px 0}.keq{border-width:0}}@media screen and (max-width:500px){.step>div{padding:10px 3px}}@media screen and (min-width:1400px){.keq{border-width:0 3px 0 0}}