:root{--blue:#007bff;--indigo:#6610f2;--purple:#6f42c1;--pink:#e83e8c;--red:#dc3545;--orange:#fd7e14;--yellow:#ffc107;--green:#28a745;--teal:#20c997;--cyan:#17a2b8;--white:#fff;--gray:#6c757d;--gray-dark:#343a40;--primary:#007bff;--secondary:#6c757d;--success:#28a745;--info:#17a2b8;--warning:#ffc107;--danger:#dc3545;--light:#f8f9fa;--dark:#343a40;--breakpoint-xs:0;--breakpoint-sm:576px;--breakpoint-md:768px;--breakpoint-lg:992px;--breakpoint-xl:1200px;--font-family-sans-serif:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";--font-family-monospace:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace}*,::after,::before{box-sizing:border-box}html{font-family:sans-serif;line-height:1.15;-webkit-text-size-adjust:100%;-webkit-tap-highlight-color:transparent}article,aside,figcaption,figure,footer,header,hgroup,main,nav,section{display:block}body{margin:0;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-size:1rem;font-weight:400;line-height:1.5;color:#212529;text-align:left;background-color:#fff}[tabindex="-1"]:focus:not(:focus-visible){outline:0!important}hr{box-sizing:content-box;height:0;overflow:visible}h1,h2,h3,h4,h5,h6{margin-top:0;margin-bottom:.5rem}p{margin-top:0;margin-bottom:1rem}abbr[data-original-title],abbr[title]{text-decoration:underline;-webkit-text-decoration:underline dotted;text-decoration:underline dotted;cursor:help;border-bottom:0;-webkit-text-decoration-skip-ink:none;text-decoration-skip-ink:none}address{margin-bottom:1rem;font-style:normal;line-height:inherit}dl,ol,ul{margin-top:0;margin-bottom:1rem}ol ol,ol ul,ul ol,ul ul{margin-bottom:0}dt{font-weight:700}dd{margin-bottom:.5rem;margin-left:0}blockquote{margin:0 0 1rem}b,strong{font-weight:bolder}small{font-size:80%}sub,sup{position:relative;font-size:75%;line-height:0;vertical-align:baseline}sub{bottom:-.25em}sup{top:-.5em}a{color:#007bff;text-decoration:none;background-color:transparent}a:hover{color:#0056b3;text-decoration:underline}a:not([href]):not([class]){color:inherit;text-decoration:none}a:not([href]):not([class]):hover{color:inherit;text-decoration:none}code,kbd,pre,samp{font-family:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace;font-size:1em}pre{margin-top:0;margin-bottom:1rem;overflow:auto;-ms-overflow-style:scrollbar}figure{margin:0 0 1rem}img{vertical-align:middle;border-style:none}svg{overflow:hidden;vertical-align:middle}table{border-collapse:collapse}caption{padding-top:.75rem;padding-bottom:.75rem;color:#6c757d;text-align:left;caption-side:bottom}th{text-align:inherit;text-align:-webkit-match-parent}label{display:inline-block;margin-bottom:.5rem}button{border-radius:0}button:focus{outline:1px dotted;outline:5px auto -webkit-focus-ring-color}button,input,optgroup,select,textarea{margin:0;font-family:inherit;font-size:inherit;line-height:inherit}button,input{overflow:visible}button,select{text-transform:none}[role=button]{cursor:pointer}select{word-wrap:normal}[type=button],[type=reset],[type=submit],button{-webkit-appearance:button}[type=button]:not(:disabled),[type=reset]:not(:disabled),[type=submit]:not(:disabled),button:not(:disabled){cursor:pointer}[type=button]::-moz-focus-inner,[type=reset]::-moz-focus-inner,[type=submit]::-moz-focus-inner,button::-moz-focus-inner{padding:0;border-style:none}input[type=checkbox],input[type=radio]{box-sizing:border-box;padding:0}textarea{overflow:auto;resize:vertical}fieldset{min-width:0;padding:0;margin:0;border:0}legend{display:block;width:100%;max-width:100%;padding:0;margin-bottom:.5rem;font-size:1.5rem;line-height:inherit;color:inherit;white-space:normal}progress{vertical-align:baseline}[type=number]::-webkit-inner-spin-button,[type=number]::-webkit-outer-spin-button{height:auto}[type=search]{outline-offset:-2px;-webkit-appearance:none}[type=search]::-webkit-search-decoration{-webkit-appearance:none}::-webkit-file-upload-button{font:inherit;-webkit-appearance:button}output{display:inline-block}summary{display:list-item;cursor:pointer}template{display:none}[hidden]{display:none!important}.h1,.h2,.h3,.h4,.h5,.h6,h1,h2,h3,h4,h5,h6{margin-bottom:.5rem;font-weight:500;line-height:1.2}.h1,h1{font-size:2.5rem}.h2,h2{font-size:2rem}.h3,h3{font-size:1.75rem}.h4,h4{font-size:1.5rem}.h5,h5{font-size:1.25rem}.h6,h6{font-size:1rem}.lead{font-size:1.25rem;font-weight:300}.display-1{font-size:6rem;font-weight:300;line-height:1.2}.display-2{font-size:5.5rem;font-weight:300;line-height:1.2}.display-3{font-size:4.5rem;font-weight:300;line-height:1.2}.display-4{font-size:3.5rem;font-weight:300;line-height:1.2}hr{margin-top:1rem;margin-bottom:1rem;border:0;border-top:1px solid rgba(0,0,0,.1)}.small,small{font-size:80%;font-weight:400}.mark,mark{padding:.2em;background-color:#fcf8e3}.list-unstyled{padding-left:0;list-style:none}.list-inline{padding-left:0;list-style:none}.list-inline-item{display:inline-block}.list-inline-item:not(:last-child){margin-right:.5rem}.initialism{font-size:90%;text-transform:uppercase}.blockquote{margin-bottom:1rem;font-size:1.25rem}.blockquote-footer{display:block;font-size:80%;color:#6c757d}.blockquote-footer::before{content:"— "}.img-fluid{max-width:100%;height:auto}.img-thumbnail{padding:.25rem;background-color:#fff;border:1px solid #dee2e6;border-radius:.25rem;max-width:100%;height:auto}.figure{display:inline-block}.figure-img{margin-bottom:.5rem;line-height:1}.figure-caption{font-size:90%;color:#6c757d}code{font-size:87.5%;color:#e83e8c;word-wrap:break-word}a>code{color:inherit}kbd{padding:.2rem .4rem;font-size:87.5%;color:#fff;background-color:#212529;border-radius:.2rem}kbd kbd{padding:0;font-size:100%;font-weight:700}pre{display:block;font-size:87.5%;color:#212529}pre code{font-size:inherit;color:inherit;word-break:normal}.pre-scrollable{max-height:340px;overflow-y:scroll}.container,.container-fluid,.container-lg,.container-md,.container-sm,.container-xl{width:100%;padding-right:15px;padding-left:15px;margin-right:auto;margin-left:auto}@media(min-width:576px){.container,.container-sm{max-width:540px}}@media(min-width:768px){.container,.container-md,.container-sm{max-width:720px}}@media(min-width:992px){.container,.container-lg,.container-md,.container-sm{max-width:960px}}@media(min-width:1200px){.container,.container-lg,.container-md,.container-sm,.container-xl{max-width:1140px}}.row{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;margin-right:-15px;margin-left:-15px}.no-gutters{margin-right:0;margin-left:0}.no-gutters>.col,.no-gutters>[class*=col-]{padding-right:0;padding-left:0}.col,.col-1,.col-10,.col-11,.col-12,.col-2,.col-3,.col-4,.col-5,.col-6,.col-7,.col-8,.col-9,.col-auto,.col-lg,.col-lg-1,.col-lg-10,.col-lg-11,.col-lg-12,.col-lg-2,.col-lg-3,.col-lg-4,.col-lg-5,.col-lg-6,.col-lg-7,.col-lg-8,.col-lg-9,.col-lg-auto,.col-md,.col-md-1,.col-md-10,.col-md-11,.col-md-12,.col-md-2,.col-md-3,.col-md-4,.col-md-5,.col-md-6,.col-md-7,.col-md-8,.col-md-9,.col-md-auto,.col-sm,.col-sm-1,.col-sm-10,.col-sm-11,.col-sm-12,.col-sm-2,.col-sm-3,.col-sm-4,.col-sm-5,.col-sm-6,.col-sm-7,.col-sm-8,.col-sm-9,.col-sm-auto,.col-xl,.col-xl-1,.col-xl-10,.col-xl-11,.col-xl-12,.col-xl-2,.col-xl-3,.col-xl-4,.col-xl-5,.col-xl-6,.col-xl-7,.col-xl-8,.col-xl-9,.col-xl-auto{position:relative;width:100%;padding-right:15px;padding-left:15px}.col{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.row-cols-1>*{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.row-cols-2>*{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.row-cols-3>*{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.row-cols-4>*{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.row-cols-5>*{-ms-flex:0 0 20%;flex:0 0 20%;max-width:20%}.row-cols-6>*{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-first{-ms-flex-order:-1;order:-1}.order-last{-ms-flex-order:13;order:13}.order-0{-ms-flex-order:0;order:0}.order-1{-ms-flex-order:1;order:1}.order-2{-ms-flex-order:2;order:2}.order-3{-ms-flex-order:3;order:3}.order-4{-ms-flex-order:4;order:4}.order-5{-ms-flex-order:5;order:5}.order-6{-ms-flex-order:6;order:6}.order-7{-ms-flex-order:7;order:7}.order-8{-ms-flex-order:8;order:8}.order-9{-ms-flex-order:9;order:9}.order-10{-ms-flex-order:10;order:10}.order-11{-ms-flex-order:11;order:11}.order-12{-ms-flex-order:12;order:12}.offset-1{margin-left:8.333333%}.offset-2{margin-left:16.666667%}.offset-3{margin-left:25%}.offset-4{margin-left:33.333333%}.offset-5{margin-left:41.666667%}.offset-6{margin-left:50%}.offset-7{margin-left:58.333333%}.offset-8{margin-left:66.666667%}.offset-9{margin-left:75%}.offset-10{margin-left:83.333333%}.offset-11{margin-left:91.666667%}@media(min-width:576px){.col-sm{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.row-cols-sm-1>*{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.row-cols-sm-2>*{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.row-cols-sm-3>*{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.row-cols-sm-4>*{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.row-cols-sm-5>*{-ms-flex:0 0 20%;flex:0 0 20%;max-width:20%}.row-cols-sm-6>*{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-sm-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-sm-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-sm-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-sm-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-sm-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-sm-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-sm-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-sm-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-sm-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-sm-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-sm-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-sm-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-sm-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-sm-first{-ms-flex-order:-1;order:-1}.order-sm-last{-ms-flex-order:13;order:13}.order-sm-0{-ms-flex-order:0;order:0}.order-sm-1{-ms-flex-order:1;order:1}.order-sm-2{-ms-flex-order:2;order:2}.order-sm-3{-ms-flex-order:3;order:3}.order-sm-4{-ms-flex-order:4;order:4}.order-sm-5{-ms-flex-order:5;order:5}.order-sm-6{-ms-flex-order:6;order:6}.order-sm-7{-ms-flex-order:7;order:7}.order-sm-8{-ms-flex-order:8;order:8}.order-sm-9{-ms-flex-order:9;order:9}.order-sm-10{-ms-flex-order:10;order:10}.order-sm-11{-ms-flex-order:11;order:11}.order-sm-12{-ms-flex-order:12;order:12}.offset-sm-0{margin-left:0}.offset-sm-1{margin-left:8.333333%}.offset-sm-2{margin-left:16.666667%}.offset-sm-3{margin-left:25%}.offset-sm-4{margin-left:33.333333%}.offset-sm-5{margin-left:41.666667%}.offset-sm-6{margin-left:50%}.offset-sm-7{margin-left:58.333333%}.offset-sm-8{margin-left:66.666667%}.offset-sm-9{margin-left:75%}.offset-sm-10{margin-left:83.333333%}.offset-sm-11{margin-left:91.666667%}}@media(min-width:768px){.col-md{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.row-cols-md-1>*{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.row-cols-md-2>*{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.row-cols-md-3>*{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.row-cols-md-4>*{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.row-cols-md-5>*{-ms-flex:0 0 20%;flex:0 0 20%;max-width:20%}.row-cols-md-6>*{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-md-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-md-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-md-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-md-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-md-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-md-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-md-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-md-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-md-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-md-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-md-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-md-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-md-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-md-first{-ms-flex-order:-1;order:-1}.order-md-last{-ms-flex-order:13;order:13}.order-md-0{-ms-flex-order:0;order:0}.order-md-1{-ms-flex-order:1;order:1}.order-md-2{-ms-flex-order:2;order:2}.order-md-3{-ms-flex-order:3;order:3}.order-md-4{-ms-flex-order:4;order:4}.order-md-5{-ms-flex-order:5;order:5}.order-md-6{-ms-flex-order:6;order:6}.order-md-7{-ms-flex-order:7;order:7}.order-md-8{-ms-flex-order:8;order:8}.order-md-9{-ms-flex-order:9;order:9}.order-md-10{-ms-flex-order:10;order:10}.order-md-11{-ms-flex-order:11;order:11}.order-md-12{-ms-flex-order:12;order:12}.offset-md-0{margin-left:0}.offset-md-1{margin-left:8.333333%}.offset-md-2{margin-left:16.666667%}.offset-md-3{margin-left:25%}.offset-md-4{margin-left:33.333333%}.offset-md-5{margin-left:41.666667%}.offset-md-6{margin-left:50%}.offset-md-7{margin-left:58.333333%}.offset-md-8{margin-left:66.666667%}.offset-md-9{margin-left:75%}.offset-md-10{margin-left:83.333333%}.offset-md-11{margin-left:91.666667%}}@media(min-width:992px){.col-lg{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.row-cols-lg-1>*{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.row-cols-lg-2>*{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.row-cols-lg-3>*{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.row-cols-lg-4>*{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.row-cols-lg-5>*{-ms-flex:0 0 20%;flex:0 0 20%;max-width:20%}.row-cols-lg-6>*{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-lg-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-lg-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-lg-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-lg-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-lg-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-lg-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-lg-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-lg-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-lg-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-lg-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-lg-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-lg-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-lg-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-lg-first{-ms-flex-order:-1;order:-1}.order-lg-last{-ms-flex-order:13;order:13}.order-lg-0{-ms-flex-order:0;order:0}.order-lg-1{-ms-flex-order:1;order:1}.order-lg-2{-ms-flex-order:2;order:2}.order-lg-3{-ms-flex-order:3;order:3}.order-lg-4{-ms-flex-order:4;order:4}.order-lg-5{-ms-flex-order:5;order:5}.order-lg-6{-ms-flex-order:6;order:6}.order-lg-7{-ms-flex-order:7;order:7}.order-lg-8{-ms-flex-order:8;order:8}.order-lg-9{-ms-flex-order:9;order:9}.order-lg-10{-ms-flex-order:10;order:10}.order-lg-11{-ms-flex-order:11;order:11}.order-lg-12{-ms-flex-order:12;order:12}.offset-lg-0{margin-left:0}.offset-lg-1{margin-left:8.333333%}.offset-lg-2{margin-left:16.666667%}.offset-lg-3{margin-left:25%}.offset-lg-4{margin-left:33.333333%}.offset-lg-5{margin-left:41.666667%}.offset-lg-6{margin-left:50%}.offset-lg-7{margin-left:58.333333%}.offset-lg-8{margin-left:66.666667%}.offset-lg-9{margin-left:75%}.offset-lg-10{margin-left:83.333333%}.offset-lg-11{margin-left:91.666667%}}@media(min-width:1200px){.col-xl{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.row-cols-xl-1>*{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.row-cols-xl-2>*{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.row-cols-xl-3>*{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.row-cols-xl-4>*{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.row-cols-xl-5>*{-ms-flex:0 0 20%;flex:0 0 20%;max-width:20%}.row-cols-xl-6>*{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-xl-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-xl-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-xl-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-xl-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-xl-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-xl-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-xl-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-xl-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-xl-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-xl-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-xl-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-xl-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-xl-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-xl-first{-ms-flex-order:-1;order:-1}.order-xl-last{-ms-flex-order:13;order:13}.order-xl-0{-ms-flex-order:0;order:0}.order-xl-1{-ms-flex-order:1;order:1}.order-xl-2{-ms-flex-order:2;order:2}.order-xl-3{-ms-flex-order:3;order:3}.order-xl-4{-ms-flex-order:4;order:4}.order-xl-5{-ms-flex-order:5;order:5}.order-xl-6{-ms-flex-order:6;order:6}.order-xl-7{-ms-flex-order:7;order:7}.order-xl-8{-ms-flex-order:8;order:8}.order-xl-9{-ms-flex-order:9;order:9}.order-xl-10{-ms-flex-order:10;order:10}.order-xl-11{-ms-flex-order:11;order:11}.order-xl-12{-ms-flex-order:12;order:12}.offset-xl-0{margin-left:0}.offset-xl-1{margin-left:8.333333%}.offset-xl-2{margin-left:16.666667%}.offset-xl-3{margin-left:25%}.offset-xl-4{margin-left:33.333333%}.offset-xl-5{margin-left:41.666667%}.offset-xl-6{margin-left:50%}.offset-xl-7{margin-left:58.333333%}.offset-xl-8{margin-left:66.666667%}.offset-xl-9{margin-left:75%}.offset-xl-10{margin-left:83.333333%}.offset-xl-11{margin-left:91.666667%}}.table{width:100%;margin-bottom:1rem;color:#212529}.table td,.table th{padding:.75rem;vertical-align:top;border-top:1px solid #dee2e6}.table thead th{vertical-align:bottom;border-bottom:2px solid #dee2e6}.table tbody+tbody{border-top:2px solid #dee2e6}.table-sm td,.table-sm th{padding:.3rem}.table-bordered{border:1px solid #dee2e6}.table-bordered td,.table-bordered th{border:1px solid #dee2e6}.table-bordered thead td,.table-bordered thead th{border-bottom-width:2px}.table-borderless tbody+tbody,.table-borderless td,.table-borderless th,.table-borderless thead th{border:0}.table-striped tbody tr:nth-of-type(odd){background-color:rgba(0,0,0,.05)}.table-hover tbody tr:hover{color:#212529;background-color:rgba(0,0,0,.075)}.table-primary,.table-primary>td,.table-primary>th{background-color:#b8daff}.table-primary tbody+tbody,.table-primary td,.table-primary th,.table-primary thead th{border-color:#7abaff}.table-hover .table-primary:hover{background-color:#9fcdff}.table-hover .table-primary:hover>td,.table-hover .table-primary:hover>th{background-color:#9fcdff}.table-secondary,.table-secondary>td,.table-secondary>th{background-color:#d6d8db}.table-secondary tbody+tbody,.table-secondary td,.table-secondary th,.table-secondary thead th{border-color:#b3b7bb}.table-hover .table-secondary:hover{background-color:#c8cbcf}.table-hover .table-secondary:hover>td,.table-hover .table-secondary:hover>th{background-color:#c8cbcf}.table-success,.table-success>td,.table-success>th{background-color:#c3e6cb}.table-success tbody+tbody,.table-success td,.table-success th,.table-success thead th{border-color:#8fd19e}.table-hover .table-success:hover{background-color:#b1dfbb}.table-hover .table-success:hover>td,.table-hover .table-success:hover>th{background-color:#b1dfbb}.table-info,.table-info>td,.table-info>th{background-color:#bee5eb}.table-info tbody+tbody,.table-info td,.table-info th,.table-info thead th{border-color:#86cfda}.table-hover .table-info:hover{background-color:#abdde5}.table-hover .table-info:hover>td,.table-hover .table-info:hover>th{background-color:#abdde5}.table-warning,.table-warning>td,.table-warning>th{background-color:#ffeeba}.table-warning tbody+tbody,.table-warning td,.table-warning th,.table-warning thead th{border-color:#ffdf7e}.table-hover .table-warning:hover{background-color:#ffe8a1}.table-hover .table-warning:hover>td,.table-hover .table-warning:hover>th{background-color:#ffe8a1}.table-danger,.table-danger>td,.table-danger>th{background-color:#f5c6cb}.table-danger tbody+tbody,.table-danger td,.table-danger th,.table-danger thead th{border-color:#ed969e}.table-hover .table-danger:hover{background-color:#f1b0b7}.table-hover .table-danger:hover>td,.table-hover .table-danger:hover>th{background-color:#f1b0b7}.table-light,.table-light>td,.table-light>th{background-color:#fdfdfe}.table-light tbody+tbody,.table-light td,.table-light th,.table-light thead th{border-color:#fbfcfc}.table-hover .table-light:hover{background-color:#ececf6}.table-hover .table-light:hover>td,.table-hover .table-light:hover>th{background-color:#ececf6}.table-dark,.table-dark>td,.table-dark>th{background-color:#c6c8ca}.table-dark tbody+tbody,.table-dark td,.table-dark th,.table-dark thead th{border-color:#95999c}.table-hover .table-dark:hover{background-color:#b9bbbe}.table-hover .table-dark:hover>td,.table-hover .table-dark:hover>th{background-color:#b9bbbe}.table-active,.table-active>td,.table-active>th{background-color:rgba(0,0,0,.075)}.table-hover .table-active:hover{background-color:rgba(0,0,0,.075)}.table-hover .table-active:hover>td,.table-hover .table-active:hover>th{background-color:rgba(0,0,0,.075)}.table .thead-dark th{color:#fff;background-color:#343a40;border-color:#454d55}.table .thead-light th{color:#495057;background-color:#e9ecef;border-color:#dee2e6}.table-dark{color:#fff;background-color:#343a40}.table-dark td,.table-dark th,.table-dark thead th{border-color:#454d55}.table-dark.table-bordered{border:0}.table-dark.table-striped tbody tr:nth-of-type(odd){background-color:rgba(255,255,255,.05)}.table-dark.table-hover tbody tr:hover{color:#fff;background-color:rgba(255,255,255,.075)}@media(max-width:575.98px){.table-responsive-sm{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive-sm>.table-bordered{border:0}}@media(max-width:767.98px){.table-responsive-md{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive-md>.table-bordered{border:0}}@media(max-width:991.98px){.table-responsive-lg{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive-lg>.table-bordered{border:0}}@media(max-width:1199.98px){.table-responsive-xl{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive-xl>.table-bordered{border:0}}.table-responsive{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive>.table-bordered{border:0}.form-control{display:block;width:100%;height:calc(1.5em + .75rem + 2px);padding:.375rem .75rem;font-size:1rem;font-weight:400;line-height:1.5;color:#495057;background-color:#fff;background-clip:padding-box;border:1px solid #ced4da;border-radius:.25rem;transition:border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media(prefers-reduced-motion:reduce){.form-control{transition:none}}.form-control::-ms-expand{background-color:transparent;border:0}.form-control:-moz-focusring{color:transparent;text-shadow:0 0 0 #495057}.form-control:focus{color:#495057;background-color:#fff;border-color:#80bdff;outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.form-control::-webkit-input-placeholder{color:#6c757d;opacity:1}.form-control::-moz-placeholder{color:#6c757d;opacity:1}.form-control:-ms-input-placeholder{color:#6c757d;opacity:1}.form-control::-ms-input-placeholder{color:#6c757d;opacity:1}.form-control::placeholder{color:#6c757d;opacity:1}.form-control:disabled,.form-control[readonly]{background-color:#e9ecef;opacity:1}input[type=date].form-control,input[type=datetime-local].form-control,input[type=month].form-control,input[type=time].form-control{-webkit-appearance:none;-moz-appearance:none;appearance:none}select.form-control:focus::-ms-value{color:#495057;background-color:#fff}.form-control-file,.form-control-range{display:block;width:100%}.col-form-label{padding-top:calc(.375rem + 1px);padding-bottom:calc(.375rem + 1px);margin-bottom:0;font-size:inherit;line-height:1.5}.col-form-label-lg{padding-top:calc(.5rem + 1px);padding-bottom:calc(.5rem + 1px);font-size:1.25rem;line-height:1.5}.col-form-label-sm{padding-top:calc(.25rem + 1px);padding-bottom:calc(.25rem + 1px);font-size:.875rem;line-height:1.5}.form-control-plaintext{display:block;width:100%;padding:.375rem 0;margin-bottom:0;font-size:1rem;line-height:1.5;color:#212529;background-color:transparent;border:solid transparent;border-width:1px 0}.form-control-plaintext.form-control-lg,.form-control-plaintext.form-control-sm{padding-right:0;padding-left:0}.form-control-sm{height:calc(1.5em + .5rem + 2px);padding:.25rem .5rem;font-size:.875rem;line-height:1.5;border-radius:.2rem}.form-control-lg{height:calc(1.5em + 1rem + 2px);padding:.5rem 1rem;font-size:1.25rem;line-height:1.5;border-radius:.3rem}select.form-control[multiple],select.form-control[size]{height:auto}textarea.form-control{height:auto}.form-group{margin-bottom:1rem}.form-text{display:block;margin-top:.25rem}.form-row{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;margin-right:-5px;margin-left:-5px}.form-row>.col,.form-row>[class*=col-]{padding-right:5px;padding-left:5px}.form-check{position:relative;display:block;padding-left:1.25rem}.form-check-input{position:absolute;margin-top:.3rem;margin-left:-1.25rem}.form-check-input:disabled~.form-check-label,.form-check-input[disabled]~.form-check-label{color:#6c757d}.form-check-label{margin-bottom:0}.form-check-inline{display:-ms-inline-flexbox;display:inline-flex;-ms-flex-align:center;align-items:center;padding-left:0;margin-right:.75rem}.form-check-inline .form-check-input{position:static;margin-top:0;margin-right:.3125rem;margin-left:0}.valid-feedback{display:none;width:100%;margin-top:.25rem;font-size:80%;color:#28a745}.valid-tooltip{position:absolute;top:100%;left:0;z-index:5;display:none;max-width:100%;padding:.25rem .5rem;margin-top:.1rem;font-size:.875rem;line-height:1.5;color:#fff;background-color:rgba(40,167,69,.9);border-radius:.25rem}.is-valid~.valid-feedback,.is-valid~.valid-tooltip,.was-validated :valid~.valid-feedback,.was-validated :valid~.valid-tooltip{display:block}.form-control.is-valid,.was-validated .form-control:valid{border-color:#28a745;padding-right:calc(1.5em + .75rem);background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='8' height='8' viewBox='0 0 8 8'%3e%3cpath fill='%2328a745' d='M2.3 6.73L.6 4.53c-.4-1.04.46-1.4 1.1-.8l1.1 1.4 3.4-3.8c.6-.63 1.6-.27 1.2.7l-4 4.6c-.43.5-.8.4-1.1.1z'/%3e%3c/svg%3e");background-repeat:no-repeat;background-position:right calc(.375em + .1875rem) center;background-size:calc(.75em + .375rem) calc(.75em + .375rem)}.form-control.is-valid:focus,.was-validated .form-control:valid:focus{border-color:#28a745;box-shadow:0 0 0 .2rem rgba(40,167,69,.25)}.was-validated textarea.form-control:valid,textarea.form-control.is-valid{padding-right:calc(1.5em + .75rem);background-position:top calc(.375em + .1875rem) right calc(.375em + .1875rem)}.custom-select.is-valid,.was-validated .custom-select:valid{border-color:#28a745;padding-right:calc(.75em + 2.3125rem);background:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='4' height='5' viewBox='0 0 4 5'%3e%3cpath fill='%23343a40' d='M2 0L0 2h4zm0 5L0 3h4z'/%3e%3c/svg%3e") no-repeat right .75rem center/8px 10px,url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='8' height='8' viewBox='0 0 8 8'%3e%3cpath fill='%2328a745' d='M2.3 6.73L.6 4.53c-.4-1.04.46-1.4 1.1-.8l1.1 1.4 3.4-3.8c.6-.63 1.6-.27 1.2.7l-4 4.6c-.43.5-.8.4-1.1.1z'/%3e%3c/svg%3e") #fff no-repeat center right 1.75rem/calc(.75em + .375rem) calc(.75em + .375rem)}.custom-select.is-valid:focus,.was-validated .custom-select:valid:focus{border-color:#28a745;box-shadow:0 0 0 .2rem rgba(40,167,69,.25)}.form-check-input.is-valid~.form-check-label,.was-validated .form-check-input:valid~.form-check-label{color:#28a745}.form-check-input.is-valid~.valid-feedback,.form-check-input.is-valid~.valid-tooltip,.was-validated .form-check-input:valid~.valid-feedback,.was-validated .form-check-input:valid~.valid-tooltip{display:block}.custom-control-input.is-valid~.custom-control-label,.was-validated .custom-control-input:valid~.custom-control-label{color:#28a745}.custom-control-input.is-valid~.custom-control-label::before,.was-validated .custom-control-input:valid~.custom-control-label::before{border-color:#28a745}.custom-control-input.is-valid:checked~.custom-control-label::before,.was-validated .custom-control-input:valid:checked~.custom-control-label::before{border-color:#34ce57;background-color:#34ce57}.custom-control-input.is-valid:focus~.custom-control-label::before,.was-validated .custom-control-input:valid:focus~.custom-control-label::before{box-shadow:0 0 0 .2rem rgba(40,167,69,.25)}.custom-control-input.is-valid:focus:not(:checked)~.custom-control-label::before,.was-validated .custom-control-input:valid:focus:not(:checked)~.custom-control-label::before{border-color:#28a745}.custom-file-input.is-valid~.custom-file-label,.was-validated .custom-file-input:valid~.custom-file-label{border-color:#28a745}.custom-file-input.is-valid:focus~.custom-file-label,.was-validated .custom-file-input:valid:focus~.custom-file-label{border-color:#28a745;box-shadow:0 0 0 .2rem rgba(40,167,69,.25)}.invalid-feedback{display:none;width:100%;margin-top:.25rem;font-size:80%;color:#dc3545}.invalid-tooltip{position:absolute;top:100%;left:0;z-index:5;display:none;max-width:100%;padding:.25rem .5rem;margin-top:.1rem;font-size:.875rem;line-height:1.5;color:#fff;background-color:rgba(220,53,69,.9);border-radius:.25rem}.is-invalid~.invalid-feedback,.is-invalid~.invalid-tooltip,.was-validated :invalid~.invalid-feedback,.was-validated :invalid~.invalid-tooltip{display:block}.form-control.is-invalid,.was-validated .form-control:invalid{border-color:#dc3545;padding-right:calc(1.5em + .75rem);background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='12' height='12' fill='none' stroke='%23dc3545' viewBox='0 0 12 12'%3e%3ccircle cx='6' cy='6' r='4.5'/%3e%3cpath stroke-linejoin='round' d='M5.8 3.6h.4L6 6.5z'/%3e%3ccircle cx='6' cy='8.2' r='.6' fill='%23dc3545' stroke='none'/%3e%3c/svg%3e");background-repeat:no-repeat;background-position:right calc(.375em + .1875rem) center;background-size:calc(.75em + .375rem) calc(.75em + .375rem)}.form-control.is-invalid:focus,.was-validated .form-control:invalid:focus{border-color:#dc3545;box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.was-validated textarea.form-control:invalid,textarea.form-control.is-invalid{padding-right:calc(1.5em + .75rem);background-position:top calc(.375em + .1875rem) right calc(.375em + .1875rem)}.custom-select.is-invalid,.was-validated .custom-select:invalid{border-color:#dc3545;padding-right:calc(.75em + 2.3125rem);background:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='4' height='5' viewBox='0 0 4 5'%3e%3cpath fill='%23343a40' d='M2 0L0 2h4zm0 5L0 3h4z'/%3e%3c/svg%3e") no-repeat right .75rem center/8px 10px,url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='12' height='12' fill='none' stroke='%23dc3545' viewBox='0 0 12 12'%3e%3ccircle cx='6' cy='6' r='4.5'/%3e%3cpath stroke-linejoin='round' d='M5.8 3.6h.4L6 6.5z'/%3e%3ccircle cx='6' cy='8.2' r='.6' fill='%23dc3545' stroke='none'/%3e%3c/svg%3e") #fff no-repeat center right 1.75rem/calc(.75em + .375rem) calc(.75em + .375rem)}.custom-select.is-invalid:focus,.was-validated .custom-select:invalid:focus{border-color:#dc3545;box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.form-check-input.is-invalid~.form-check-label,.was-validated .form-check-input:invalid~.form-check-label{color:#dc3545}.form-check-input.is-invalid~.invalid-feedback,.form-check-input.is-invalid~.invalid-tooltip,.was-validated .form-check-input:invalid~.invalid-feedback,.was-validated .form-check-input:invalid~.invalid-tooltip{display:block}.custom-control-input.is-invalid~.custom-control-label,.was-validated .custom-control-input:invalid~.custom-control-label{color:#dc3545}.custom-control-input.is-invalid~.custom-control-label::before,.was-validated .custom-control-input:invalid~.custom-control-label::before{border-color:#dc3545}.custom-control-input.is-invalid:checked~.custom-control-label::before,.was-validated .custom-control-input:invalid:checked~.custom-control-label::before{border-color:#e4606d;background-color:#e4606d}.custom-control-input.is-invalid:focus~.custom-control-label::before,.was-validated .custom-control-input:invalid:focus~.custom-control-label::before{box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.custom-control-input.is-invalid:focus:not(:checked)~.custom-control-label::before,.was-validated .custom-control-input:invalid:focus:not(:checked)~.custom-control-label::before{border-color:#dc3545}.custom-file-input.is-invalid~.custom-file-label,.was-validated .custom-file-input:invalid~.custom-file-label{border-color:#dc3545}.custom-file-input.is-invalid:focus~.custom-file-label,.was-validated .custom-file-input:invalid:focus~.custom-file-label{border-color:#dc3545;box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.form-inline{display:-ms-flexbox;display:flex;-ms-flex-flow:row wrap;flex-flow:row wrap;-ms-flex-align:center;align-items:center}.form-inline .form-check{width:100%}@media(min-width:576px){.form-inline label{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;-ms-flex-pack:center;justify-content:center;margin-bottom:0}.form-inline .form-group{display:-ms-flexbox;display:flex;-ms-flex:0 0 auto;flex:0 0 auto;-ms-flex-flow:row wrap;flex-flow:row wrap;-ms-flex-align:center;align-items:center;margin-bottom:0}.form-inline .form-control{display:inline-block;width:auto;vertical-align:middle}.form-inline .form-control-plaintext{display:inline-block}.form-inline .custom-select,.form-inline .input-group{width:auto}.form-inline .form-check{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;-ms-flex-pack:center;justify-content:center;width:auto;padding-left:0}.form-inline .form-check-input{position:relative;-ms-flex-negative:0;flex-shrink:0;margin-top:0;margin-right:.25rem;margin-left:0}.form-inline .custom-control{-ms-flex-align:center;align-items:center;-ms-flex-pack:center;justify-content:center}.form-inline .custom-control-label{margin-bottom:0}}.btn{display:inline-block;font-weight:400;color:#212529;text-align:center;vertical-align:middle;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;background-color:transparent;border:1px solid transparent;padding:.375rem .75rem;font-size:1rem;line-height:1.5;border-radius:.25rem;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media(prefers-reduced-motion:reduce){.btn{transition:none}}.btn:hover{color:#212529;text-decoration:none}.btn.focus,.btn:focus{outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.btn.disabled,.btn:disabled{opacity:.65}.btn:not(:disabled):not(.disabled){cursor:pointer}a.btn.disabled,fieldset:disabled a.btn{pointer-events:none}.btn-primary{color:#fff;background-color:#007bff;border-color:#007bff}.btn-primary:hover{color:#fff;background-color:#0069d9;border-color:#0062cc}.btn-primary.focus,.btn-primary:focus{color:#fff;background-color:#0069d9;border-color:#0062cc;box-shadow:0 0 0 .2rem rgba(38,143,255,.5)}.btn-primary.disabled,.btn-primary:disabled{color:#fff;background-color:#007bff;border-color:#007bff}.btn-primary:not(:disabled):not(.disabled).active,.btn-primary:not(:disabled):not(.disabled):active,.show>.btn-primary.dropdown-toggle{color:#fff;background-color:#0062cc;border-color:#005cbf}.btn-primary:not(:disabled):not(.disabled).active:focus,.btn-primary:not(:disabled):not(.disabled):active:focus,.show>.btn-primary.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(38,143,255,.5)}.btn-secondary{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-secondary:hover{color:#fff;background-color:#5a6268;border-color:#545b62}.btn-secondary.focus,.btn-secondary:focus{color:#fff;background-color:#5a6268;border-color:#545b62;box-shadow:0 0 0 .2rem rgba(130,138,145,.5)}.btn-secondary.disabled,.btn-secondary:disabled{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-secondary:not(:disabled):not(.disabled).active,.btn-secondary:not(:disabled):not(.disabled):active,.show>.btn-secondary.dropdown-toggle{color:#fff;background-color:#545b62;border-color:#4e555b}.btn-secondary:not(:disabled):not(.disabled).active:focus,.btn-secondary:not(:disabled):not(.disabled):active:focus,.show>.btn-secondary.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(130,138,145,.5)}.btn-success{color:#fff;background-color:#28a745;border-color:#28a745}.btn-success:hover{color:#fff;background-color:#218838;border-color:#1e7e34}.btn-success.focus,.btn-success:focus{color:#fff;background-color:#218838;border-color:#1e7e34;box-shadow:0 0 0 .2rem rgba(72,180,97,.5)}.btn-success.disabled,.btn-success:disabled{color:#fff;background-color:#28a745;border-color:#28a745}.btn-success:not(:disabled):not(.disabled).active,.btn-success:not(:disabled):not(.disabled):active,.show>.btn-success.dropdown-toggle{color:#fff;background-color:#1e7e34;border-color:#1c7430}.btn-success:not(:disabled):not(.disabled).active:focus,.btn-success:not(:disabled):not(.disabled):active:focus,.show>.btn-success.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(72,180,97,.5)}.btn-info{color:#fff;background-color:#17a2b8;border-color:#17a2b8}.btn-info:hover{color:#fff;background-color:#138496;border-color:#117a8b}.btn-info.focus,.btn-info:focus{color:#fff;background-color:#138496;border-color:#117a8b;box-shadow:0 0 0 .2rem rgba(58,176,195,.5)}.btn-info.disabled,.btn-info:disabled{color:#fff;background-color:#17a2b8;border-color:#17a2b8}.btn-info:not(:disabled):not(.disabled).active,.btn-info:not(:disabled):not(.disabled):active,.show>.btn-info.dropdown-toggle{color:#fff;background-color:#117a8b;border-color:#10707f}.btn-info:not(:disabled):not(.disabled).active:focus,.btn-info:not(:disabled):not(.disabled):active:focus,.show>.btn-info.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(58,176,195,.5)}.btn-warning{color:#212529;background-color:#ffc107;border-color:#ffc107}.btn-warning:hover{color:#212529;background-color:#e0a800;border-color:#d39e00}.btn-warning.focus,.btn-warning:focus{color:#212529;background-color:#e0a800;border-color:#d39e00;box-shadow:0 0 0 .2rem rgba(222,170,12,.5)}.btn-warning.disabled,.btn-warning:disabled{color:#212529;background-color:#ffc107;border-color:#ffc107}.btn-warning:not(:disabled):not(.disabled).active,.btn-warning:not(:disabled):not(.disabled):active,.show>.btn-warning.dropdown-toggle{color:#212529;background-color:#d39e00;border-color:#c69500}.btn-warning:not(:disabled):not(.disabled).active:focus,.btn-warning:not(:disabled):not(.disabled):active:focus,.show>.btn-warning.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(222,170,12,.5)}.btn-danger{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-danger:hover{color:#fff;background-color:#c82333;border-color:#bd2130}.btn-danger.focus,.btn-danger:focus{color:#fff;background-color:#c82333;border-color:#bd2130;box-shadow:0 0 0 .2rem rgba(225,83,97,.5)}.btn-danger.disabled,.btn-danger:disabled{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-danger:not(:disabled):not(.disabled).active,.btn-danger:not(:disabled):not(.disabled):active,.show>.btn-danger.dropdown-toggle{color:#fff;background-color:#bd2130;border-color:#b21f2d}.btn-danger:not(:disabled):not(.disabled).active:focus,.btn-danger:not(:disabled):not(.disabled):active:focus,.show>.btn-danger.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(225,83,97,.5)}.btn-light{color:#212529;background-color:#f8f9fa;border-color:#f8f9fa}.btn-light:hover{color:#212529;background-color:#e2e6ea;border-color:#dae0e5}.btn-light.focus,.btn-light:focus{color:#212529;background-color:#e2e6ea;border-color:#dae0e5;box-shadow:0 0 0 .2rem rgba(216,217,219,.5)}.btn-light.disabled,.btn-light:disabled{color:#212529;background-color:#f8f9fa;border-color:#f8f9fa}.btn-light:not(:disabled):not(.disabled).active,.btn-light:not(:disabled):not(.disabled):active,.show>.btn-light.dropdown-toggle{color:#212529;background-color:#dae0e5;border-color:#d3d9df}.btn-light:not(:disabled):not(.disabled).active:focus,.btn-light:not(:disabled):not(.disabled):active:focus,.show>.btn-light.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(216,217,219,.5)}.btn-dark{color:#fff;background-color:#343a40;border-color:#343a40}.btn-dark:hover{color:#fff;background-color:#23272b;border-color:#1d2124}.btn-dark.focus,.btn-dark:focus{color:#fff;background-color:#23272b;border-color:#1d2124;box-shadow:0 0 0 .2rem rgba(82,88,93,.5)}.btn-dark.disabled,.btn-dark:disabled{color:#fff;background-color:#343a40;border-color:#343a40}.btn-dark:not(:disabled):not(.disabled).active,.btn-dark:not(:disabled):not(.disabled):active,.show>.btn-dark.dropdown-toggle{color:#fff;background-color:#1d2124;border-color:#171a1d}.btn-dark:not(:disabled):not(.disabled).active:focus,.btn-dark:not(:disabled):not(.disabled):active:focus,.show>.btn-dark.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(82,88,93,.5)}.btn-outline-primary{color:#007bff;border-color:#007bff}.btn-outline-primary:hover{color:#fff;background-color:#007bff;border-color:#007bff}.btn-outline-primary.focus,.btn-outline-primary:focus{box-shadow:0 0 0 .2rem rgba(0,123,255,.5)}.btn-outline-primary.disabled,.btn-outline-primary:disabled{color:#007bff;background-color:transparent}.btn-outline-primary:not(:disabled):not(.disabled).active,.btn-outline-primary:not(:disabled):not(.disabled):active,.show>.btn-outline-primary.dropdown-toggle{color:#fff;background-color:#007bff;border-color:#007bff}.btn-outline-primary:not(:disabled):not(.disabled).active:focus,.btn-outline-primary:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-primary.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(0,123,255,.5)}.btn-outline-secondary{color:#6c757d;border-color:#6c757d}.btn-outline-secondary:hover{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-outline-secondary.focus,.btn-outline-secondary:focus{box-shadow:0 0 0 .2rem rgba(108,117,125,.5)}.btn-outline-secondary.disabled,.btn-outline-secondary:disabled{color:#6c757d;background-color:transparent}.btn-outline-secondary:not(:disabled):not(.disabled).active,.btn-outline-secondary:not(:disabled):not(.disabled):active,.show>.btn-outline-secondary.dropdown-toggle{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-outline-secondary:not(:disabled):not(.disabled).active:focus,.btn-outline-secondary:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-secondary.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(108,117,125,.5)}.btn-outline-success{color:#28a745;border-color:#28a745}.btn-outline-success:hover{color:#fff;background-color:#28a745;border-color:#28a745}.btn-outline-success.focus,.btn-outline-success:focus{box-shadow:0 0 0 .2rem rgba(40,167,69,.5)}.btn-outline-success.disabled,.btn-outline-success:disabled{color:#28a745;background-color:transparent}.btn-outline-success:not(:disabled):not(.disabled).active,.btn-outline-success:not(:disabled):not(.disabled):active,.show>.btn-outline-success.dropdown-toggle{color:#fff;background-color:#28a745;border-color:#28a745}.btn-outline-success:not(:disabled):not(.disabled).active:focus,.btn-outline-success:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-success.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(40,167,69,.5)}.btn-outline-info{color:#17a2b8;border-color:#17a2b8}.btn-outline-info:hover{color:#fff;background-color:#17a2b8;border-color:#17a2b8}.btn-outline-info.focus,.btn-outline-info:focus{box-shadow:0 0 0 .2rem rgba(23,162,184,.5)}.btn-outline-info.disabled,.btn-outline-info:disabled{color:#17a2b8;background-color:transparent}.btn-outline-info:not(:disabled):not(.disabled).active,.btn-outline-info:not(:disabled):not(.disabled):active,.show>.btn-outline-info.dropdown-toggle{color:#fff;background-color:#17a2b8;border-color:#17a2b8}.btn-outline-info:not(:disabled):not(.disabled).active:focus,.btn-outline-info:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-info.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(23,162,184,.5)}.btn-outline-warning{color:#ffc107;border-color:#ffc107}.btn-outline-warning:hover{color:#212529;background-color:#ffc107;border-color:#ffc107}.btn-outline-warning.focus,.btn-outline-warning:focus{box-shadow:0 0 0 .2rem rgba(255,193,7,.5)}.btn-outline-warning.disabled,.btn-outline-warning:disabled{color:#ffc107;background-color:transparent}.btn-outline-warning:not(:disabled):not(.disabled).active,.btn-outline-warning:not(:disabled):not(.disabled):active,.show>.btn-outline-warning.dropdown-toggle{color:#212529;background-color:#ffc107;border-color:#ffc107}.btn-outline-warning:not(:disabled):not(.disabled).active:focus,.btn-outline-warning:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-warning.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(255,193,7,.5)}.btn-outline-danger{color:#dc3545;border-color:#dc3545}.btn-outline-danger:hover{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-outline-danger.focus,.btn-outline-danger:focus{box-shadow:0 0 0 .2rem rgba(220,53,69,.5)}.btn-outline-danger.disabled,.btn-outline-danger:disabled{color:#dc3545;background-color:transparent}.btn-outline-danger:not(:disabled):not(.disabled).active,.btn-outline-danger:not(:disabled):not(.disabled):active,.show>.btn-outline-danger.dropdown-toggle{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-outline-danger:not(:disabled):not(.disabled).active:focus,.btn-outline-danger:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-danger.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(220,53,69,.5)}.btn-outline-light{color:#f8f9fa;border-color:#f8f9fa}.btn-outline-light:hover{color:#212529;background-color:#f8f9fa;border-color:#f8f9fa}.btn-outline-light.focus,.btn-outline-light:focus{box-shadow:0 0 0 .2rem rgba(248,249,250,.5)}.btn-outline-light.disabled,.btn-outline-light:disabled{color:#f8f9fa;background-color:transparent}.btn-outline-light:not(:disabled):not(.disabled).active,.btn-outline-light:not(:disabled):not(.disabled):active,.show>.btn-outline-light.dropdown-toggle{color:#212529;background-color:#f8f9fa;border-color:#f8f9fa}.btn-outline-light:not(:disabled):not(.disabled).active:focus,.btn-outline-light:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-light.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(248,249,250,.5)}.btn-outline-dark{color:#343a40;border-color:#343a40}.btn-outline-dark:hover{color:#fff;background-color:#343a40;border-color:#343a40}.btn-outline-dark.focus,.btn-outline-dark:focus{box-shadow:0 0 0 .2rem rgba(52,58,64,.5)}.btn-outline-dark.disabled,.btn-outline-dark:disabled{color:#343a40;background-color:transparent}.btn-outline-dark:not(:disabled):not(.disabled).active,.btn-outline-dark:not(:disabled):not(.disabled):active,.show>.btn-outline-dark.dropdown-toggle{color:#fff;background-color:#343a40;border-color:#343a40}.btn-outline-dark:not(:disabled):not(.disabled).active:focus,.btn-outline-dark:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-dark.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(52,58,64,.5)}.btn-link{font-weight:400;color:#007bff;text-decoration:none}.btn-link:hover{color:#0056b3;text-decoration:underline}.btn-link.focus,.btn-link:focus{text-decoration:underline}.btn-link.disabled,.btn-link:disabled{color:#6c757d;pointer-events:none}.btn-group-lg>.btn,.btn-lg{padding:.5rem 1rem;font-size:1.25rem;line-height:1.5;border-radius:.3rem}.btn-group-sm>.btn,.btn-sm{padding:.25rem .5rem;font-size:.875rem;line-height:1.5;border-radius:.2rem}.btn-block{display:block;width:100%}.btn-block+.btn-block{margin-top:.5rem}input[type=button].btn-block,input[type=reset].btn-block,input[type=submit].btn-block{width:100%}.fade{transition:opacity .15s linear}@media(prefers-reduced-motion:reduce){.fade{transition:none}}.fade:not(.show){opacity:0}.collapse:not(.show){display:none}.collapsing{position:relative;height:0;overflow:hidden;transition:height .35s ease}@media(prefers-reduced-motion:reduce){.collapsing{transition:none}}.dropdown,.dropleft,.dropright,.dropup{position:relative}.dropdown-toggle{white-space:nowrap}.dropdown-toggle::after{display:inline-block;margin-left:.255em;vertical-align:.255em;content:"";border-top:.3em solid;border-right:.3em solid transparent;border-bottom:0;border-left:.3em solid transparent}.dropdown-toggle:empty::after{margin-left:0}.dropdown-menu{position:absolute;top:100%;left:0;z-index:1000;display:none;float:left;min-width:10rem;padding:.5rem 0;margin:.125rem 0 0;font-size:1rem;color:#212529;text-align:left;list-style:none;background-color:#fff;background-clip:padding-box;border:1px solid rgba(0,0,0,.15);border-radius:.25rem}.dropdown-menu-left{right:auto;left:0}.dropdown-menu-right{right:0;left:auto}@media(min-width:576px){.dropdown-menu-sm-left{right:auto;left:0}.dropdown-menu-sm-right{right:0;left:auto}}@media(min-width:768px){.dropdown-menu-md-left{right:auto;left:0}.dropdown-menu-md-right{right:0;left:auto}}@media(min-width:992px){.dropdown-menu-lg-left{right:auto;left:0}.dropdown-menu-lg-right{right:0;left:auto}}@media(min-width:1200px){.dropdown-menu-xl-left{right:auto;left:0}.dropdown-menu-xl-right{right:0;left:auto}}.dropup .dropdown-menu{top:auto;bottom:100%;margin-top:0;margin-bottom:.125rem}.dropup .dropdown-toggle::after{display:inline-block;margin-left:.255em;vertical-align:.255em;content:"";border-top:0;border-right:.3em solid transparent;border-bottom:.3em solid;border-left:.3em solid transparent}.dropup .dropdown-toggle:empty::after{margin-left:0}.dropright .dropdown-menu{top:0;right:auto;left:100%;margin-top:0;margin-left:.125rem}.dropright .dropdown-toggle::after{display:inline-block;margin-left:.255em;vertical-align:.255em;content:"";border-top:.3em solid transparent;border-right:0;border-bottom:.3em solid transparent;border-left:.3em solid}.dropright .dropdown-toggle:empty::after{margin-left:0}.dropright .dropdown-toggle::after{vertical-align:0}.dropleft .dropdown-menu{top:0;right:100%;left:auto;margin-top:0;margin-right:.125rem}.dropleft .dropdown-toggle::after{display:inline-block;margin-left:.255em;vertical-align:.255em;content:""}.dropleft .dropdown-toggle::after{display:none}.dropleft .dropdown-toggle::before{display:inline-block;margin-right:.255em;vertical-align:.255em;content:"";border-top:.3em solid transparent;border-right:.3em solid;border-bottom:.3em solid transparent}.dropleft .dropdown-toggle:empty::after{margin-left:0}.dropleft .dropdown-toggle::before{vertical-align:0}.dropdown-menu[x-placement^=bottom],.dropdown-menu[x-placement^=left],.dropdown-menu[x-placement^=right],.dropdown-menu[x-placement^=top]{right:auto;bottom:auto}.dropdown-divider{height:0;margin:.5rem 0;overflow:hidden;border-top:1px solid #e9ecef}.dropdown-item{display:block;width:100%;padding:.25rem 1.5rem;clear:both;font-weight:400;color:#212529;text-align:inherit;white-space:nowrap;background-color:transparent;border:0}.dropdown-item:focus,.dropdown-item:hover{color:#16181b;text-decoration:none;background-color:#f8f9fa}.dropdown-item.active,.dropdown-item:active{color:#fff;text-decoration:none;background-color:#007bff}.dropdown-item.disabled,.dropdown-item:disabled{color:#6c757d;pointer-events:none;background-color:transparent}.dropdown-menu.show{display:block}.dropdown-header{display:block;padding:.5rem 1.5rem;margin-bottom:0;font-size:.875rem;color:#6c757d;white-space:nowrap}.dropdown-item-text{display:block;padding:.25rem 1.5rem;color:#212529}.btn-group,.btn-group-vertical{position:relative;display:-ms-inline-flexbox;display:inline-flex;vertical-align:middle}.btn-group-vertical>.btn,.btn-group>.btn{position:relative;-ms-flex:1 1 auto;flex:1 1 auto}.btn-group-vertical>.btn:hover,.btn-group>.btn:hover{z-index:1}.btn-group-vertical>.btn.active,.btn-group-vertical>.btn:active,.btn-group-vertical>.btn:focus,.btn-group>.btn.active,.btn-group>.btn:active,.btn-group>.btn:focus{z-index:1}.btn-toolbar{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-pack:start;justify-content:flex-start}.btn-toolbar .input-group{width:auto}.btn-group>.btn-group:not(:first-child),.btn-group>.btn:not(:first-child){margin-left:-1px}.btn-group>.btn-group:not(:last-child)>.btn,.btn-group>.btn:not(:last-child):not(.dropdown-toggle){border-top-right-radius:0;border-bottom-right-radius:0}.btn-group>.btn-group:not(:first-child)>.btn,.btn-group>.btn:not(:first-child){border-top-left-radius:0;border-bottom-left-radius:0}.dropdown-toggle-split{padding-right:.5625rem;padding-left:.5625rem}.dropdown-toggle-split::after,.dropright .dropdown-toggle-split::after,.dropup .dropdown-toggle-split::after{margin-left:0}.dropleft .dropdown-toggle-split::before{margin-right:0}.btn-group-sm>.btn+.dropdown-toggle-split,.btn-sm+.dropdown-toggle-split{padding-right:.375rem;padding-left:.375rem}.btn-group-lg>.btn+.dropdown-toggle-split,.btn-lg+.dropdown-toggle-split{padding-right:.75rem;padding-left:.75rem}.btn-group-vertical{-ms-flex-direction:column;flex-direction:column;-ms-flex-align:start;align-items:flex-start;-ms-flex-pack:center;justify-content:center}.btn-group-vertical>.btn,.btn-group-vertical>.btn-group{width:100%}.btn-group-vertical>.btn-group:not(:first-child),.btn-group-vertical>.btn:not(:first-child){margin-top:-1px}.btn-group-vertical>.btn-group:not(:last-child)>.btn,.btn-group-vertical>.btn:not(:last-child):not(.dropdown-toggle){border-bottom-right-radius:0;border-bottom-left-radius:0}.btn-group-vertical>.btn-group:not(:first-child)>.btn,.btn-group-vertical>.btn:not(:first-child){border-top-left-radius:0;border-top-right-radius:0}.btn-group-toggle>.btn,.btn-group-toggle>.btn-group>.btn{margin-bottom:0}.btn-group-toggle>.btn input[type=checkbox],.btn-group-toggle>.btn input[type=radio],.btn-group-toggle>.btn-group>.btn input[type=checkbox],.btn-group-toggle>.btn-group>.btn input[type=radio]{position:absolute;clip:rect(0,0,0,0);pointer-events:none}.input-group{position:relative;display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-align:stretch;align-items:stretch;width:100%}.input-group>.custom-file,.input-group>.custom-select,.input-group>.form-control,.input-group>.form-control-plaintext{position:relative;-ms-flex:1 1 auto;flex:1 1 auto;width:1%;min-width:0;margin-bottom:0}.input-group>.custom-file+.custom-file,.input-group>.custom-file+.custom-select,.input-group>.custom-file+.form-control,.input-group>.custom-select+.custom-file,.input-group>.custom-select+.custom-select,.input-group>.custom-select+.form-control,.input-group>.form-control+.custom-file,.input-group>.form-control+.custom-select,.input-group>.form-control+.form-control,.input-group>.form-control-plaintext+.custom-file,.input-group>.form-control-plaintext+.custom-select,.input-group>.form-control-plaintext+.form-control{margin-left:-1px}.input-group>.custom-file .custom-file-input:focus~.custom-file-label,.input-group>.custom-select:focus,.input-group>.form-control:focus{z-index:3}.input-group>.custom-file .custom-file-input:focus{z-index:4}.input-group>.custom-select:not(:last-child),.input-group>.form-control:not(:last-child){border-top-right-radius:0;border-bottom-right-radius:0}.input-group>.custom-select:not(:first-child),.input-group>.form-control:not(:first-child){border-top-left-radius:0;border-bottom-left-radius:0}.input-group>.custom-file{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center}.input-group>.custom-file:not(:last-child) .custom-file-label,.input-group>.custom-file:not(:last-child) .custom-file-label::after{border-top-right-radius:0;border-bottom-right-radius:0}.input-group>.custom-file:not(:first-child) .custom-file-label{border-top-left-radius:0;border-bottom-left-radius:0}.input-group-append,.input-group-prepend{display:-ms-flexbox;display:flex}.input-group-append .btn,.input-group-prepend .btn{position:relative;z-index:2}.input-group-append .btn:focus,.input-group-prepend .btn:focus{z-index:3}.input-group-append .btn+.btn,.input-group-append .btn+.input-group-text,.input-group-append .input-group-text+.btn,.input-group-append .input-group-text+.input-group-text,.input-group-prepend .btn+.btn,.input-group-prepend .btn+.input-group-text,.input-group-prepend .input-group-text+.btn,.input-group-prepend .input-group-text+.input-group-text{margin-left:-1px}.input-group-prepend{margin-right:-1px}.input-group-append{margin-left:-1px}.input-group-text{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;padding:.375rem .75rem;margin-bottom:0;font-size:1rem;font-weight:400;line-height:1.5;color:#495057;text-align:center;white-space:nowrap;background-color:#e9ecef;border:1px solid #ced4da;border-radius:.25rem}.input-group-text input[type=checkbox],.input-group-text input[type=radio]{margin-top:0}.input-group-lg>.custom-select,.input-group-lg>.form-control:not(textarea){height:calc(1.5em + 1rem + 2px)}.input-group-lg>.custom-select,.input-group-lg>.form-control,.input-group-lg>.input-group-append>.btn,.input-group-lg>.input-group-append>.input-group-text,.input-group-lg>.input-group-prepend>.btn,.input-group-lg>.input-group-prepend>.input-group-text{padding:.5rem 1rem;font-size:1.25rem;line-height:1.5;border-radius:.3rem}.input-group-sm>.custom-select,.input-group-sm>.form-control:not(textarea){height:calc(1.5em + .5rem + 2px)}.input-group-sm>.custom-select,.input-group-sm>.form-control,.input-group-sm>.input-group-append>.btn,.input-group-sm>.input-group-append>.input-group-text,.input-group-sm>.input-group-prepend>.btn,.input-group-sm>.input-group-prepend>.input-group-text{padding:.25rem .5rem;font-size:.875rem;line-height:1.5;border-radius:.2rem}.input-group-lg>.custom-select,.input-group-sm>.custom-select{padding-right:1.75rem}.input-group>.input-group-append:last-child>.btn:not(:last-child):not(.dropdown-toggle),.input-group>.input-group-append:last-child>.input-group-text:not(:last-child),.input-group>.input-group-append:not(:last-child)>.btn,.input-group>.input-group-append:not(:last-child)>.input-group-text,.input-group>.input-group-prepend>.btn,.input-group>.input-group-prepend>.input-group-text{border-top-right-radius:0;border-bottom-right-radius:0}.input-group>.input-group-append>.btn,.input-group>.input-group-append>.input-group-text,.input-group>.input-group-prepend:first-child>.btn:not(:first-child),.input-group>.input-group-prepend:first-child>.input-group-text:not(:first-child),.input-group>.input-group-prepend:not(:first-child)>.btn,.input-group>.input-group-prepend:not(:first-child)>.input-group-text{border-top-left-radius:0;border-bottom-left-radius:0}.custom-control{position:relative;z-index:1;display:block;min-height:1.5rem;padding-left:1.5rem;-webkit-print-color-adjust:exact;color-adjust:exact}.custom-control-inline{display:-ms-inline-flexbox;display:inline-flex;margin-right:1rem}.custom-control-input{position:absolute;left:0;z-index:-1;width:1rem;height:1.25rem;opacity:0}.custom-control-input:checked~.custom-control-label::before{color:#fff;border-color:#007bff;background-color:#007bff}.custom-control-input:focus~.custom-control-label::before{box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.custom-control-input:focus:not(:checked)~.custom-control-label::before{border-color:#80bdff}.custom-control-input:not(:disabled):active~.custom-control-label::before{color:#fff;background-color:#b3d7ff;border-color:#b3d7ff}.custom-control-input:disabled~.custom-control-label,.custom-control-input[disabled]~.custom-control-label{color:#6c757d}.custom-control-input:disabled~.custom-control-label::before,.custom-control-input[disabled]~.custom-control-label::before{background-color:#e9ecef}.custom-control-label{position:relative;margin-bottom:0;vertical-align:top}.custom-control-label::before{position:absolute;top:.25rem;left:-1.5rem;display:block;width:1rem;height:1rem;pointer-events:none;content:"";background-color:#fff;border:#adb5bd solid 1px}.custom-control-label::after{position:absolute;top:.25rem;left:-1.5rem;display:block;width:1rem;height:1rem;content:"";background:no-repeat 50%/50% 50%}.custom-checkbox .custom-control-label::before{border-radius:.25rem}.custom-checkbox .custom-control-input:checked~.custom-control-label::after{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='8' height='8' viewBox='0 0 8 8'%3e%3cpath fill='%23fff' d='M6.564.75l-3.59 3.612-1.538-1.55L0 4.26l2.974 2.99L8 2.193z'/%3e%3c/svg%3e")}.custom-checkbox .custom-control-input:indeterminate~.custom-control-label::before{border-color:#007bff;background-color:#007bff}.custom-checkbox .custom-control-input:indeterminate~.custom-control-label::after{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='4' height='4' viewBox='0 0 4 4'%3e%3cpath stroke='%23fff' d='M0 2h4'/%3e%3c/svg%3e")}.custom-checkbox .custom-control-input:disabled:checked~.custom-control-label::before{background-color:rgba(0,123,255,.5)}.custom-checkbox .custom-control-input:disabled:indeterminate~.custom-control-label::before{background-color:rgba(0,123,255,.5)}.custom-radio .custom-control-label::before{border-radius:50%}.custom-radio .custom-control-input:checked~.custom-control-label::after{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='12' height='12' viewBox='-4 -4 8 8'%3e%3ccircle r='3' fill='%23fff'/%3e%3c/svg%3e")}.custom-radio .custom-control-input:disabled:checked~.custom-control-label::before{background-color:rgba(0,123,255,.5)}.custom-switch{padding-left:2.25rem}.custom-switch .custom-control-label::before{left:-2.25rem;width:1.75rem;pointer-events:all;border-radius:.5rem}.custom-switch .custom-control-label::after{top:calc(.25rem + 2px);left:calc(-2.25rem + 2px);width:calc(1rem - 4px);height:calc(1rem - 4px);background-color:#adb5bd;border-radius:.5rem;transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out,-webkit-transform .15s ease-in-out;transition:transform .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;transition:transform .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out,-webkit-transform .15s ease-in-out}@media(prefers-reduced-motion:reduce){.custom-switch .custom-control-label::after{transition:none}}.custom-switch .custom-control-input:checked~.custom-control-label::after{background-color:#fff;-webkit-transform:translateX(.75rem);transform:translateX(.75rem)}.custom-switch .custom-control-input:disabled:checked~.custom-control-label::before{background-color:rgba(0,123,255,.5)}.custom-select{display:inline-block;width:100%;height:calc(1.5em + .75rem + 2px);padding:.375rem 1.75rem .375rem .75rem;font-size:1rem;font-weight:400;line-height:1.5;color:#495057;vertical-align:middle;background:#fff url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='4' height='5' viewBox='0 0 4 5'%3e%3cpath fill='%23343a40' d='M2 0L0 2h4zm0 5L0 3h4z'/%3e%3c/svg%3e") no-repeat right .75rem center/8px 10px;border:1px solid #ced4da;border-radius:.25rem;-webkit-appearance:none;-moz-appearance:none;appearance:none}.custom-select:focus{border-color:#80bdff;outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.custom-select:focus::-ms-value{color:#495057;background-color:#fff}.custom-select[multiple],.custom-select[size]:not([size="1"]){height:auto;padding-right:.75rem;background-image:none}.custom-select:disabled{color:#6c757d;background-color:#e9ecef}.custom-select::-ms-expand{display:none}.custom-select:-moz-focusring{color:transparent;text-shadow:0 0 0 #495057}.custom-select-sm{height:calc(1.5em + .5rem + 2px);padding-top:.25rem;padding-bottom:.25rem;padding-left:.5rem;font-size:.875rem}.custom-select-lg{height:calc(1.5em + 1rem + 2px);padding-top:.5rem;padding-bottom:.5rem;padding-left:1rem;font-size:1.25rem}.custom-file{position:relative;display:inline-block;width:100%;height:calc(1.5em + .75rem + 2px);margin-bottom:0}.custom-file-input{position:relative;z-index:2;width:100%;height:calc(1.5em + .75rem + 2px);margin:0;opacity:0}.custom-file-input:focus~.custom-file-label{border-color:#80bdff;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.custom-file-input:disabled~.custom-file-label,.custom-file-input[disabled]~.custom-file-label{background-color:#e9ecef}.custom-file-input:lang(en)~.custom-file-label::after{content:"Browse"}.custom-file-input~.custom-file-label[data-browse]::after{content:attr(data-browse)}.custom-file-label{position:absolute;top:0;right:0;left:0;z-index:1;height:calc(1.5em + .75rem + 2px);padding:.375rem .75rem;font-weight:400;line-height:1.5;color:#495057;background-color:#fff;border:1px solid #ced4da;border-radius:.25rem}.custom-file-label::after{position:absolute;top:0;right:0;bottom:0;z-index:3;display:block;height:calc(1.5em + .75rem);padding:.375rem .75rem;line-height:1.5;color:#495057;content:"Browse";background-color:#e9ecef;border-left:inherit;border-radius:0 .25rem .25rem 0}.custom-range{width:100%;height:1.4rem;padding:0;background-color:transparent;-webkit-appearance:none;-moz-appearance:none;appearance:none}.custom-range:focus{outline:0}.custom-range:focus::-webkit-slider-thumb{box-shadow:0 0 0 1px #fff,0 0 0 .2rem rgba(0,123,255,.25)}.custom-range:focus::-moz-range-thumb{box-shadow:0 0 0 1px #fff,0 0 0 .2rem rgba(0,123,255,.25)}.custom-range:focus::-ms-thumb{box-shadow:0 0 0 1px #fff,0 0 0 .2rem rgba(0,123,255,.25)}.custom-range::-moz-focus-outer{border:0}.custom-range::-webkit-slider-thumb{width:1rem;height:1rem;margin-top:-.25rem;background-color:#007bff;border:0;border-radius:1rem;-webkit-transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;-webkit-appearance:none;appearance:none}@media(prefers-reduced-motion:reduce){.custom-range::-webkit-slider-thumb{-webkit-transition:none;transition:none}}.custom-range::-webkit-slider-thumb:active{background-color:#b3d7ff}.custom-range::-webkit-slider-runnable-track{width:100%;height:.5rem;color:transparent;cursor:pointer;background-color:#dee2e6;border-color:transparent;border-radius:1rem}.custom-range::-moz-range-thumb{width:1rem;height:1rem;background-color:#007bff;border:0;border-radius:1rem;-moz-transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;-moz-appearance:none;appearance:none}@media(prefers-reduced-motion:reduce){.custom-range::-moz-range-thumb{-moz-transition:none;transition:none}}.custom-range::-moz-range-thumb:active{background-color:#b3d7ff}.custom-range::-moz-range-track{width:100%;height:.5rem;color:transparent;cursor:pointer;background-color:#dee2e6;border-color:transparent;border-radius:1rem}.custom-range::-ms-thumb{width:1rem;height:1rem;margin-top:0;margin-right:.2rem;margin-left:.2rem;background-color:#007bff;border:0;border-radius:1rem;-ms-transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;appearance:none}@media(prefers-reduced-motion:reduce){.custom-range::-ms-thumb{-ms-transition:none;transition:none}}.custom-range::-ms-thumb:active{background-color:#b3d7ff}.custom-range::-ms-track{width:100%;height:.5rem;color:transparent;cursor:pointer;background-color:transparent;border-color:transparent;border-width:.5rem}.custom-range::-ms-fill-lower{background-color:#dee2e6;border-radius:1rem}.custom-range::-ms-fill-upper{margin-right:15px;background-color:#dee2e6;border-radius:1rem}.custom-range:disabled::-webkit-slider-thumb{background-color:#adb5bd}.custom-range:disabled::-webkit-slider-runnable-track{cursor:default}.custom-range:disabled::-moz-range-thumb{background-color:#adb5bd}.custom-range:disabled::-moz-range-track{cursor:default}.custom-range:disabled::-ms-thumb{background-color:#adb5bd}.custom-control-label::before,.custom-file-label,.custom-select{transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media(prefers-reduced-motion:reduce){.custom-control-label::before,.custom-file-label,.custom-select{transition:none}}.nav{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;padding-left:0;margin-bottom:0;list-style:none}.nav-link{display:block;padding:.5rem 1rem}.nav-link:focus,.nav-link:hover{text-decoration:none}.nav-link.disabled{color:#6c757d;pointer-events:none;cursor:default}.nav-tabs{border-bottom:1px solid #dee2e6}.nav-tabs .nav-item{margin-bottom:-1px}.nav-tabs .nav-link{border:1px solid transparent;border-top-left-radius:.25rem;border-top-right-radius:.25rem}.nav-tabs .nav-link:focus,.nav-tabs .nav-link:hover{border-color:#e9ecef #e9ecef #dee2e6}.nav-tabs .nav-link.disabled{color:#6c757d;background-color:transparent;border-color:transparent}.nav-tabs .nav-item.show .nav-link,.nav-tabs .nav-link.active{color:#495057;background-color:#fff;border-color:#dee2e6 #dee2e6 #fff}.nav-tabs .dropdown-menu{margin-top:-1px;border-top-left-radius:0;border-top-right-radius:0}.nav-pills .nav-link{border-radius:.25rem}.nav-pills .nav-link.active,.nav-pills .show>.nav-link{color:#fff;background-color:#007bff}.nav-fill .nav-item,.nav-fill>.nav-link{-ms-flex:1 1 auto;flex:1 1 auto;text-align:center}.nav-justified .nav-item,.nav-justified>.nav-link{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;text-align:center}.tab-content>.tab-pane{display:none}.tab-content>.active{display:block}.navbar{position:relative;display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-align:center;align-items:center;-ms-flex-pack:justify;justify-content:space-between;padding:.5rem 1rem}.navbar .container,.navbar .container-fluid,.navbar .container-lg,.navbar .container-md,.navbar .container-sm,.navbar .container-xl{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-align:center;align-items:center;-ms-flex-pack:justify;justify-content:space-between}.navbar-brand{display:inline-block;padding-top:.3125rem;padding-bottom:.3125rem;margin-right:1rem;font-size:1.25rem;line-height:inherit;white-space:nowrap}.navbar-brand:focus,.navbar-brand:hover{text-decoration:none}.navbar-nav{display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;padding-left:0;margin-bottom:0;list-style:none}.navbar-nav .nav-link{padding-right:0;padding-left:0}.navbar-nav .dropdown-menu{position:static;float:none}.navbar-text{display:inline-block;padding-top:.5rem;padding-bottom:.5rem}.navbar-collapse{-ms-flex-preferred-size:100%;flex-basis:100%;-ms-flex-positive:1;flex-grow:1;-ms-flex-align:center;align-items:center}.navbar-toggler{padding:.25rem .75rem;font-size:1.25rem;line-height:1;background-color:transparent;border:1px solid transparent;border-radius:.25rem}.navbar-toggler:focus,.navbar-toggler:hover{text-decoration:none}.navbar-toggler-icon{display:inline-block;width:1.5em;height:1.5em;vertical-align:middle;content:"";background:no-repeat center center;background-size:100% 100%}@media(max-width:575.98px){.navbar-expand-sm>.container,.navbar-expand-sm>.container-fluid,.navbar-expand-sm>.container-lg,.navbar-expand-sm>.container-md,.navbar-expand-sm>.container-sm,.navbar-expand-sm>.container-xl{padding-right:0;padding-left:0}}@media(min-width:576px){.navbar-expand-sm{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand-sm .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand-sm .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-sm .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand-sm>.container,.navbar-expand-sm>.container-fluid,.navbar-expand-sm>.container-lg,.navbar-expand-sm>.container-md,.navbar-expand-sm>.container-sm,.navbar-expand-sm>.container-xl{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand-sm .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand-sm .navbar-toggler{display:none}}@media(max-width:767.98px){.navbar-expand-md>.container,.navbar-expand-md>.container-fluid,.navbar-expand-md>.container-lg,.navbar-expand-md>.container-md,.navbar-expand-md>.container-sm,.navbar-expand-md>.container-xl{padding-right:0;padding-left:0}}@media(min-width:768px){.navbar-expand-md{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand-md .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand-md .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-md .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand-md>.container,.navbar-expand-md>.container-fluid,.navbar-expand-md>.container-lg,.navbar-expand-md>.container-md,.navbar-expand-md>.container-sm,.navbar-expand-md>.container-xl{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand-md .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand-md .navbar-toggler{display:none}}@media(max-width:991.98px){.navbar-expand-lg>.container,.navbar-expand-lg>.container-fluid,.navbar-expand-lg>.container-lg,.navbar-expand-lg>.container-md,.navbar-expand-lg>.container-sm,.navbar-expand-lg>.container-xl{padding-right:0;padding-left:0}}@media(min-width:992px){.navbar-expand-lg{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand-lg .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand-lg .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-lg .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand-lg>.container,.navbar-expand-lg>.container-fluid,.navbar-expand-lg>.container-lg,.navbar-expand-lg>.container-md,.navbar-expand-lg>.container-sm,.navbar-expand-lg>.container-xl{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand-lg .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand-lg .navbar-toggler{display:none}}@media(max-width:1199.98px){.navbar-expand-xl>.container,.navbar-expand-xl>.container-fluid,.navbar-expand-xl>.container-lg,.navbar-expand-xl>.container-md,.navbar-expand-xl>.container-sm,.navbar-expand-xl>.container-xl{padding-right:0;padding-left:0}}@media(min-width:1200px){.navbar-expand-xl{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand-xl .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand-xl .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-xl .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand-xl>.container,.navbar-expand-xl>.container-fluid,.navbar-expand-xl>.container-lg,.navbar-expand-xl>.container-md,.navbar-expand-xl>.container-sm,.navbar-expand-xl>.container-xl{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand-xl .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand-xl .navbar-toggler{display:none}}.navbar-expand{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand>.container,.navbar-expand>.container-fluid,.navbar-expand>.container-lg,.navbar-expand>.container-md,.navbar-expand>.container-sm,.navbar-expand>.container-xl{padding-right:0;padding-left:0}.navbar-expand .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand .navbar-nav .dropdown-menu{position:absolute}.navbar-expand .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand>.container,.navbar-expand>.container-fluid,.navbar-expand>.container-lg,.navbar-expand>.container-md,.navbar-expand>.container-sm,.navbar-expand>.container-xl{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand .navbar-toggler{display:none}.navbar-light .navbar-brand{color:rgba(0,0,0,.9)}.navbar-light .navbar-brand:focus,.navbar-light .navbar-brand:hover{color:rgba(0,0,0,.9)}.navbar-light .navbar-nav .nav-link{color:rgba(0,0,0,.5)}.navbar-light .navbar-nav .nav-link:focus,.navbar-light .navbar-nav .nav-link:hover{color:rgba(0,0,0,.7)}.navbar-light .navbar-nav .nav-link.disabled{color:rgba(0,0,0,.3)}.navbar-light .navbar-nav .active>.nav-link,.navbar-light .navbar-nav .nav-link.active,.navbar-light .navbar-nav .nav-link.show,.navbar-light .navbar-nav .show>.nav-link{color:rgba(0,0,0,.9)}.navbar-light .navbar-toggler{color:rgba(0,0,0,.5);border-color:rgba(0,0,0,.1)}.navbar-light .navbar-toggler-icon{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='30' height='30' viewBox='0 0 30 30'%3e%3cpath stroke='rgba%280, 0, 0, 0.5%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}.navbar-light .navbar-text{color:rgba(0,0,0,.5)}.navbar-light .navbar-text a{color:rgba(0,0,0,.9)}.navbar-light .navbar-text a:focus,.navbar-light .navbar-text a:hover{color:rgba(0,0,0,.9)}.navbar-dark .navbar-brand{color:#fff}.navbar-dark .navbar-brand:focus,.navbar-dark .navbar-brand:hover{color:#fff}.navbar-dark .navbar-nav .nav-link{color:rgba(255,255,255,.5)}.navbar-dark .navbar-nav .nav-link:focus,.navbar-dark .navbar-nav .nav-link:hover{color:rgba(255,255,255,.75)}.navbar-dark .navbar-nav .nav-link.disabled{color:rgba(255,255,255,.25)}.navbar-dark .navbar-nav .active>.nav-link,.navbar-dark .navbar-nav .nav-link.active,.navbar-dark .navbar-nav .nav-link.show,.navbar-dark .navbar-nav .show>.nav-link{color:#fff}.navbar-dark .navbar-toggler{color:rgba(255,255,255,.5);border-color:rgba(255,255,255,.1)}.navbar-dark .navbar-toggler-icon{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' width='30' height='30' viewBox='0 0 30 30'%3e%3cpath stroke='rgba%28255, 255, 255, 0.5%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}.navbar-dark .navbar-text{color:rgba(255,255,255,.5)}.navbar-dark .navbar-text a{color:#fff}.navbar-dark .navbar-text a:focus,.navbar-dark .navbar-text a:hover{color:#fff}.card{position:relative;display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;min-width:0;word-wrap:break-word;background-color:#fff;background-clip:border-box;border:1px solid rgba(0,0,0,.125);border-radius:.25rem}.card>hr{margin-right:0;margin-left:0}.card>.list-group{border-top:inherit;border-bottom:inherit}.card>.list-group:first-child{border-top-width:0;border-top-left-radius:calc(.25rem - 1px);border-top-right-radius:calc(.25rem - 1px)}.card>.list-group:last-child{border-bottom-width:0;border-bottom-right-radius:calc(.25rem - 1px);border-bottom-left-radius:calc(.25rem - 1px)}.card>.card-header+.list-group,.card>.list-group+.card-footer{border-top:0}.card-body{-ms-flex:1 1 auto;flex:1 1 auto;min-height:1px;padding:1.25rem}.card-title{margin-bottom:.75rem}.card-subtitle{margin-top:-.375rem;margin-bottom:0}.card-text:last-child{margin-bottom:0}.card-link:hover{text-decoration:none}.card-link+.card-link{margin-left:1.25rem}.card-header{padding:.75rem 1.25rem;margin-bottom:0;background-color:rgba(0,0,0,.03);border-bottom:1px solid rgba(0,0,0,.125)}.card-header:first-child{border-radius:calc(.25rem - 1px) calc(.25rem - 1px) 0 0}.card-footer{padding:.75rem 1.25rem;background-color:rgba(0,0,0,.03);border-top:1px solid rgba(0,0,0,.125)}.card-footer:last-child{border-radius:0 0 calc(.25rem - 1px) calc(.25rem - 1px)}.card-header-tabs{margin-right:-.625rem;margin-bottom:-.75rem;margin-left:-.625rem;border-bottom:0}.card-header-pills{margin-right:-.625rem;margin-left:-.625rem}.card-img-overlay{position:absolute;top:0;right:0;bottom:0;left:0;padding:1.25rem;border-radius:calc(.25rem - 1px)}.card-img,.card-img-bottom,.card-img-top{-ms-flex-negative:0;flex-shrink:0;width:100%}.card-img,.card-img-top{border-top-left-radius:calc(.25rem - 1px);border-top-right-radius:calc(.25rem - 1px)}.card-img,.card-img-bottom{border-bottom-right-radius:calc(.25rem - 1px);border-bottom-left-radius:calc(.25rem - 1px)}.card-deck .card{margin-bottom:15px}@media(min-width:576px){.card-deck{display:-ms-flexbox;display:flex;-ms-flex-flow:row wrap;flex-flow:row wrap;margin-right:-15px;margin-left:-15px}.card-deck .card{-ms-flex:1 0 0%;flex:1 0 0%;margin-right:15px;margin-bottom:0;margin-left:15px}}.card-group>.card{margin-bottom:15px}@media(min-width:576px){.card-group{display:-ms-flexbox;display:flex;-ms-flex-flow:row wrap;flex-flow:row wrap}.card-group>.card{-ms-flex:1 0 0%;flex:1 0 0%;margin-bottom:0}.card-group>.card+.card{margin-left:0;border-left:0}.card-group>.card:not(:last-child){border-top-right-radius:0;border-bottom-right-radius:0}.card-group>.card:not(:last-child) .card-header,.card-group>.card:not(:last-child) .card-img-top{border-top-right-radius:0}.card-group>.card:not(:last-child) .card-footer,.card-group>.card:not(:last-child) .card-img-bottom{border-bottom-right-radius:0}.card-group>.card:not(:first-child){border-top-left-radius:0;border-bottom-left-radius:0}.card-group>.card:not(:first-child) .card-header,.card-group>.card:not(:first-child) .card-img-top{border-top-left-radius:0}.card-group>.card:not(:first-child) .card-footer,.card-group>.card:not(:first-child) .card-img-bottom{border-bottom-left-radius:0}}.card-columns .card{margin-bottom:.75rem}@media(min-width:576px){.card-columns{-webkit-column-count:3;-moz-column-count:3;column-count:3;-webkit-column-gap:1.25rem;-moz-column-gap:1.25rem;column-gap:1.25rem;orphans:1;widows:1}.card-columns .card{display:inline-block;width:100%}}.accordion{overflow-anchor:none}.accordion>.card{overflow:hidden}.accordion>.card:not(:last-of-type){border-bottom:0;border-bottom-right-radius:0;border-bottom-left-radius:0}.accordion>.card:not(:first-of-type){border-top-left-radius:0;border-top-right-radius:0}.accordion>.card>.card-header{border-radius:0;margin-bottom:-1px}.breadcrumb{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;padding:.75rem 1rem;margin-bottom:1rem;list-style:none;background-color:#e9ecef;border-radius:.25rem}.breadcrumb-item{display:-ms-flexbox;display:flex}.breadcrumb-item+.breadcrumb-item{padding-left:.5rem}.breadcrumb-item+.breadcrumb-item::before{display:inline-block;padding-right:.5rem;color:#6c757d;content:"/"}.breadcrumb-item+.breadcrumb-item:hover::before{text-decoration:underline}.breadcrumb-item+.breadcrumb-item:hover::before{text-decoration:none}.breadcrumb-item.active{color:#6c757d}.pagination{display:-ms-flexbox;display:flex;padding-left:0;list-style:none;border-radius:.25rem}.page-link{position:relative;display:block;padding:.5rem .75rem;margin-left:-1px;line-height:1.25;color:#007bff;background-color:#fff;border:1px solid #dee2e6}.page-link:hover{z-index:2;color:#0056b3;text-decoration:none;background-color:#e9ecef;border-color:#dee2e6}.page-link:focus{z-index:3;outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.page-item:first-child .page-link{margin-left:0;border-top-left-radius:.25rem;border-bottom-left-radius:.25rem}.page-item:last-child .page-link{border-top-right-radius:.25rem;border-bottom-right-radius:.25rem}.page-item.active .page-link{z-index:3;color:#fff;background-color:#007bff;border-color:#007bff}.page-item.disabled .page-link{color:#6c757d;pointer-events:none;cursor:auto;background-color:#fff;border-color:#dee2e6}.pagination-lg .page-link{padding:.75rem 1.5rem;font-size:1.25rem;line-height:1.5}.pagination-lg .page-item:first-child .page-link{border-top-left-radius:.3rem;border-bottom-left-radius:.3rem}.pagination-lg .page-item:last-child .page-link{border-top-right-radius:.3rem;border-bottom-right-radius:.3rem}.pagination-sm .page-link{padding:.25rem .5rem;font-size:.875rem;line-height:1.5}.pagination-sm .page-item:first-child .page-link{border-top-left-radius:.2rem;border-bottom-left-radius:.2rem}.pagination-sm .page-item:last-child .page-link{border-top-right-radius:.2rem;border-bottom-right-radius:.2rem}.badge{display:inline-block;padding:.25em .4em;font-size:75%;font-weight:700;line-height:1;text-align:center;white-space:nowrap;vertical-align:baseline;border-radius:.25rem;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media(prefers-reduced-motion:reduce){.badge{transition:none}}a.badge:focus,a.badge:hover{text-decoration:none}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}.badge-pill{padding-right:.6em;padding-left:.6em;border-radius:10rem}.badge-primary{color:#fff;background-color:#007bff}a.badge-primary:focus,a.badge-primary:hover{color:#fff;background-color:#0062cc}a.badge-primary.focus,a.badge-primary:focus{outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.5)}.badge-secondary{color:#fff;background-color:#6c757d}a.badge-secondary:focus,a.badge-secondary:hover{color:#fff;background-color:#545b62}a.badge-secondary.focus,a.badge-secondary:focus{outline:0;box-shadow:0 0 0 .2rem rgba(108,117,125,.5)}.badge-success{color:#fff;background-color:#28a745}a.badge-success:focus,a.badge-success:hover{color:#fff;background-color:#1e7e34}a.badge-success.focus,a.badge-success:focus{outline:0;box-shadow:0 0 0 .2rem rgba(40,167,69,.5)}.badge-info{color:#fff;background-color:#17a2b8}a.badge-info:focus,a.badge-info:hover{color:#fff;background-color:#117a8b}a.badge-info.focus,a.badge-info:focus{outline:0;box-shadow:0 0 0 .2rem rgba(23,162,184,.5)}.badge-warning{color:#212529;background-color:#ffc107}a.badge-warning:focus,a.badge-warning:hover{color:#212529;background-color:#d39e00}a.badge-warning.focus,a.badge-warning:focus{outline:0;box-shadow:0 0 0 .2rem rgba(255,193,7,.5)}.badge-danger{color:#fff;background-color:#dc3545}a.badge-danger:focus,a.badge-danger:hover{color:#fff;background-color:#bd2130}a.badge-danger.focus,a.badge-danger:focus{outline:0;box-shadow:0 0 0 .2rem rgba(220,53,69,.5)}.badge-light{color:#212529;background-color:#f8f9fa}a.badge-light:focus,a.badge-light:hover{color:#212529;background-color:#dae0e5}a.badge-light.focus,a.badge-light:focus{outline:0;box-shadow:0 0 0 .2rem rgba(248,249,250,.5)}.badge-dark{color:#fff;background-color:#343a40}a.badge-dark:focus,a.badge-dark:hover{color:#fff;background-color:#1d2124}a.badge-dark.focus,a.badge-dark:focus{outline:0;box-shadow:0 0 0 .2rem rgba(52,58,64,.5)}.jumbotron{padding:2rem 1rem;margin-bottom:2rem;background-color:#e9ecef;border-radius:.3rem}@media(min-width:576px){.jumbotron{padding:4rem 2rem}}.jumbotron-fluid{padding-right:0;padding-left:0;border-radius:0}.alert{position:relative;padding:.75rem 1.25rem;margin-bottom:1rem;border:1px solid transparent;border-radius:.25rem}.alert-heading{color:inherit}.alert-link{font-weight:700}.alert-dismissible{padding-right:4rem}.alert-dismissible .close{position:absolute;top:0;right:0;z-index:2;padding:.75rem 1.25rem;color:inherit}.alert-primary{color:#004085;background-color:#cce5ff;border-color:#b8daff}.alert-primary hr{border-top-color:#9fcdff}.alert-primary .alert-link{color:#002752}.alert-secondary{color:#383d41;background-color:#e2e3e5;border-color:#d6d8db}.alert-secondary hr{border-top-color:#c8cbcf}.alert-secondary .alert-link{color:#202326}.alert-success{color:#155724;background-color:#d4edda;border-color:#c3e6cb}.alert-success hr{border-top-color:#b1dfbb}.alert-success .alert-link{color:#0b2e13}.alert-info{color:#0c5460;background-color:#d1ecf1;border-color:#bee5eb}.alert-info hr{border-top-color:#abdde5}.alert-info .alert-link{color:#062c33}.alert-warning{color:#856404;background-color:#fff3cd;border-color:#ffeeba}.alert-warning hr{border-top-color:#ffe8a1}.alert-warning .alert-link{color:#533f03}.alert-danger{color:#721c24;background-color:#f8d7da;border-color:#f5c6cb}.alert-danger hr{border-top-color:#f1b0b7}.alert-danger .alert-link{color:#491217}.alert-light{color:#818182;background-color:#fefefe;border-color:#fdfdfe}.alert-light hr{border-top-color:#ececf6}.alert-light .alert-link{color:#686868}.alert-dark{color:#1b1e21;background-color:#d6d8d9;border-color:#c6c8ca}.alert-dark hr{border-top-color:#b9bbbe}.alert-dark .alert-link{color:#040505}@-webkit-keyframes progress-bar-stripes{from{background-position:1rem 0}to{background-position:0 0}}@keyframes progress-bar-stripes{from{background-position:1rem 0}to{background-position:0 0}}.progress{display:-ms-flexbox;display:flex;height:1rem;overflow:hidden;line-height:0;font-size:.75rem;background-color:#e9ecef;border-radius:.25rem}.progress-bar{display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;-ms-flex-pack:center;justify-content:center;overflow:hidden;color:#fff;text-align:center;white-space:nowrap;background-color:#007bff;transition:width .6s ease}@media(prefers-reduced-motion:reduce){.progress-bar{transition:none}}.progress-bar-striped{background-image:linear-gradient(45deg,rgba(255,255,255,.15) 25%,transparent 25%,transparent 50%,rgba(255,255,255,.15) 50%,rgba(255,255,255,.15) 75%,transparent 75%,transparent);background-size:1rem 1rem}.progress-bar-animated{-webkit-animation:progress-bar-stripes 1s linear infinite;animation:progress-bar-stripes 1s linear infinite}@media(prefers-reduced-motion:reduce){.progress-bar-animated{-webkit-animation:none;animation:none}}.media{display:-ms-flexbox;display:flex;-ms-flex-align:start;align-items:flex-start}.media-body{-ms-flex:1;flex:1}.list-group{display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;padding-left:0;margin-bottom:0;border-radius:.25rem}.list-group-item-action{width:100%;color:#495057;text-align:inherit}.list-group-item-action:focus,.list-group-item-action:hover{z-index:1;color:#495057;text-decoration:none;background-color:#f8f9fa}.list-group-item-action:active{color:#212529;background-color:#e9ecef}.list-group-item{position:relative;display:block;padding:.75rem 1.25rem;background-color:#fff;border:1px solid rgba(0,0,0,.125)}.list-group-item:first-child{border-top-left-radius:inherit;border-top-right-radius:inherit}.list-group-item:last-child{border-bottom-right-radius:inherit;border-bottom-left-radius:inherit}.list-group-item.disabled,.list-group-item:disabled{color:#6c757d;pointer-events:none;background-color:#fff}.list-group-item.active{z-index:2;color:#fff;background-color:#007bff;border-color:#007bff}.list-group-item+.list-group-item{border-top-width:0}.list-group-item+.list-group-item.active{margin-top:-1px;border-top-width:1px}.list-group-horizontal{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal>.list-group-item:first-child{border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal>.list-group-item:last-child{border-top-right-radius:.25rem;border-bottom-left-radius:0}.list-group-horizontal>.list-group-item.active{margin-top:0}.list-group-horizontal>.list-group-item+.list-group-item{border-top-width:1px;border-left-width:0}.list-group-horizontal>.list-group-item+.list-group-item.active{margin-left:-1px;border-left-width:1px}@media(min-width:576px){.list-group-horizontal-sm{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal-sm>.list-group-item:first-child{border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal-sm>.list-group-item:last-child{border-top-right-radius:.25rem;border-bottom-left-radius:0}.list-group-horizontal-sm>.list-group-item.active{margin-top:0}.list-group-horizontal-sm>.list-group-item+.list-group-item{border-top-width:1px;border-left-width:0}.list-group-horizontal-sm>.list-group-item+.list-group-item.active{margin-left:-1px;border-left-width:1px}}@media(min-width:768px){.list-group-horizontal-md{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal-md>.list-group-item:first-child{border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal-md>.list-group-item:last-child{border-top-right-radius:.25rem;border-bottom-left-radius:0}.list-group-horizontal-md>.list-group-item.active{margin-top:0}.list-group-horizontal-md>.list-group-item+.list-group-item{border-top-width:1px;border-left-width:0}.list-group-horizontal-md>.list-group-item+.list-group-item.active{margin-left:-1px;border-left-width:1px}}@media(min-width:992px){.list-group-horizontal-lg{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal-lg>.list-group-item:first-child{border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal-lg>.list-group-item:last-child{border-top-right-radius:.25rem;border-bottom-left-radius:0}.list-group-horizontal-lg>.list-group-item.active{margin-top:0}.list-group-horizontal-lg>.list-group-item+.list-group-item{border-top-width:1px;border-left-width:0}.list-group-horizontal-lg>.list-group-item+.list-group-item.active{margin-left:-1px;border-left-width:1px}}@media(min-width:1200px){.list-group-horizontal-xl{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal-xl>.list-group-item:first-child{border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal-xl>.list-group-item:last-child{border-top-right-radius:.25rem;border-bottom-left-radius:0}.list-group-horizontal-xl>.list-group-item.active{margin-top:0}.list-group-horizontal-xl>.list-group-item+.list-group-item{border-top-width:1px;border-left-width:0}.list-group-horizontal-xl>.list-group-item+.list-group-item.active{margin-left:-1px;border-left-width:1px}}.list-group-flush{border-radius:0}.list-group-flush>.list-group-item{border-width:0 0 1px}.list-group-flush>.list-group-item:last-child{border-bottom-width:0}.list-group-item-primary{color:#004085;background-color:#b8daff}.list-group-item-primary.list-group-item-action:focus,.list-group-item-primary.list-group-item-action:hover{color:#004085;background-color:#9fcdff}.list-group-item-primary.list-group-item-action.active{color:#fff;background-color:#004085;border-color:#004085}.list-group-item-secondary{color:#383d41;background-color:#d6d8db}.list-group-item-secondary.list-group-item-action:focus,.list-group-item-secondary.list-group-item-action:hover{color:#383d41;background-color:#c8cbcf}.list-group-item-secondary.list-group-item-action.active{color:#fff;background-color:#383d41;border-color:#383d41}.list-group-item-success{color:#155724;background-color:#c3e6cb}.list-group-item-success.list-group-item-action:focus,.list-group-item-success.list-group-item-action:hover{color:#155724;background-color:#b1dfbb}.list-group-item-success.list-group-item-action.active{color:#fff;background-color:#155724;border-color:#155724}.list-group-item-info{color:#0c5460;background-color:#bee5eb}.list-group-item-info.list-group-item-action:focus,.list-group-item-info.list-group-item-action:hover{color:#0c5460;background-color:#abdde5}.list-group-item-info.list-group-item-action.active{color:#fff;background-color:#0c5460;border-color:#0c5460}.list-group-item-warning{color:#856404;background-color:#ffeeba}.list-group-item-warning.list-group-item-action:focus,.list-group-item-warning.list-group-item-action:hover{color:#856404;background-color:#ffe8a1}.list-group-item-warning.list-group-item-action.active{color:#fff;background-color:#856404;border-color:#856404}.list-group-item-danger{color:#721c24;background-color:#f5c6cb}.list-group-item-danger.list-group-item-action:focus,.list-group-item-danger.list-group-item-action:hover{color:#721c24;background-color:#f1b0b7}.list-group-item-danger.list-group-item-action.active{color:#fff;background-color:#721c24;border-color:#721c24}.list-group-item-light{color:#818182;background-color:#fdfdfe}.list-group-item-light.list-group-item-action:focus,.list-group-item-light.list-group-item-action:hover{color:#818182;background-color:#ececf6}.list-group-item-light.list-group-item-action.active{color:#fff;background-color:#818182;border-color:#818182}.list-group-item-dark{color:#1b1e21;background-color:#c6c8ca}.list-group-item-dark.list-group-item-action:focus,.list-group-item-dark.list-group-item-action:hover{color:#1b1e21;background-color:#b9bbbe}.list-group-item-dark.list-group-item-action.active{color:#fff;background-color:#1b1e21;border-color:#1b1e21}.close{float:right;font-size:1.5rem;font-weight:700;line-height:1;color:#000;text-shadow:0 1px 0 #fff;opacity:.5}.close:hover{color:#000;text-decoration:none}.close:not(:disabled):not(.disabled):focus,.close:not(:disabled):not(.disabled):hover{opacity:.75}button.close{padding:0;background-color:transparent;border:0}a.close.disabled{pointer-events:none}.toast{-ms-flex-preferred-size:350px;flex-basis:350px;max-width:350px;font-size:.875rem;background-color:rgba(255,255,255,.85);background-clip:padding-box;border:1px solid rgba(0,0,0,.1);box-shadow:0 .25rem .75rem rgba(0,0,0,.1);opacity:0;border-radius:.25rem}.toast:not(:last-child){margin-bottom:.75rem}.toast.showing{opacity:1}.toast.show{display:block;opacity:1}.toast.hide{display:none}.toast-header{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;padding:.25rem .75rem;color:#6c757d;background-color:rgba(255,255,255,.85);background-clip:padding-box;border-bottom:1px solid rgba(0,0,0,.05);border-top-left-radius:calc(.25rem - 1px);border-top-right-radius:calc(.25rem - 1px)}.toast-body{padding:.75rem}.modal-open{overflow:hidden}.modal-open .modal{overflow-x:hidden;overflow-y:auto}.modal{position:fixed;top:0;left:0;z-index:1050;display:none;width:100%;height:100%;overflow:hidden;outline:0}.modal-dialog{position:relative;width:auto;margin:.5rem;pointer-events:none}.modal.fade .modal-dialog{transition:-webkit-transform .3s ease-out;transition:transform .3s ease-out;transition:transform .3s ease-out,-webkit-transform .3s ease-out;-webkit-transform:translate(0,-50px);transform:translate(0,-50px)}@media(prefers-reduced-motion:reduce){.modal.fade .modal-dialog{transition:none}}.modal.show .modal-dialog{-webkit-transform:none;transform:none}.modal.modal-static .modal-dialog{-webkit-transform:scale(1.02);transform:scale(1.02)}.modal-dialog-scrollable{display:-ms-flexbox;display:flex;max-height:calc(100% - 1rem)}.modal-dialog-scrollable .modal-content{max-height:calc(100vh - 1rem);overflow:hidden}.modal-dialog-scrollable .modal-footer,.modal-dialog-scrollable .modal-header{-ms-flex-negative:0;flex-shrink:0}.modal-dialog-scrollable .modal-body{overflow-y:auto}.modal-dialog-centered{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;min-height:calc(100% - 1rem)}.modal-dialog-centered::before{display:block;height:calc(100vh - 1rem);height:-webkit-min-content;height:-moz-min-content;height:min-content;content:""}.modal-dialog-centered.modal-dialog-scrollable{-ms-flex-direction:column;flex-direction:column;-ms-flex-pack:center;justify-content:center;height:100%}.modal-dialog-centered.modal-dialog-scrollable .modal-content{max-height:none}.modal-dialog-centered.modal-dialog-scrollable::before{content:none}.modal-content{position:relative;display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;width:100%;pointer-events:auto;background-color:#fff;background-clip:padding-box;border:1px solid rgba(0,0,0,.2);border-radius:.3rem;outline:0}.modal-backdrop{position:fixed;top:0;left:0;z-index:1040;width:100vw;height:100vh;background-color:#000}.modal-backdrop.fade{opacity:0}.modal-backdrop.show{opacity:.5}.modal-header{display:-ms-flexbox;display:flex;-ms-flex-align:start;align-items:flex-start;-ms-flex-pack:justify;justify-content:space-between;padding:1rem 1rem;border-bottom:1px solid #dee2e6;border-top-left-radius:calc(.3rem - 1px);border-top-right-radius:calc(.3rem - 1px)}.modal-header .close{padding:1rem 1rem;margin:-1rem -1rem -1rem auto}.modal-title{margin-bottom:0;line-height:1.5}.modal-body{position:relative;-ms-flex:1 1 auto;flex:1 1 auto;padding:1rem}.modal-footer{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-align:center;align-items:center;-ms-flex-pack:end;justify-content:flex-end;padding:.75rem;border-top:1px solid #dee2e6;border-bottom-right-radius:calc(.3rem - 1px);border-bottom-left-radius:calc(.3rem - 1px)}.modal-footer>*{margin:.25rem}.modal-scrollbar-measure{position:absolute;top:-9999px;width:50px;height:50px;overflow:scroll}@media(min-width:576px){.modal-dialog{max-width:500px;margin:1.75rem auto}.modal-dialog-scrollable{max-height:calc(100% - 3.5rem)}.modal-dialog-scrollable .modal-content{max-height:calc(100vh - 3.5rem)}.modal-dialog-centered{min-height:calc(100% - 3.5rem)}.modal-dialog-centered::before{height:calc(100vh - 3.5rem);height:-webkit-min-content;height:-moz-min-content;height:min-content}.modal-sm{max-width:300px}}@media(min-width:992px){.modal-lg,.modal-xl{max-width:800px}}@media(min-width:1200px){.modal-xl{max-width:1140px}}.tooltip{position:absolute;z-index:1070;display:block;margin:0;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-style:normal;font-weight:400;line-height:1.5;text-align:left;text-align:start;text-decoration:none;text-shadow:none;text-transform:none;letter-spacing:normal;word-break:normal;word-spacing:normal;white-space:normal;line-break:auto;font-size:.875rem;word-wrap:break-word;opacity:0}.tooltip.show{opacity:.9}.tooltip .arrow{position:absolute;display:block;width:.8rem;height:.4rem}.tooltip .arrow::before{position:absolute;content:"";border-color:transparent;border-style:solid}.bs-tooltip-auto[x-placement^=top],.bs-tooltip-top{padding:.4rem 0}.bs-tooltip-auto[x-placement^=top] .arrow,.bs-tooltip-top .arrow{bottom:0}.bs-tooltip-auto[x-placement^=top] .arrow::before,.bs-tooltip-top .arrow::before{top:0;border-width:.4rem .4rem 0;border-top-color:#000}.bs-tooltip-auto[x-placement^=right],.bs-tooltip-right{padding:0 .4rem}.bs-tooltip-auto[x-placement^=right] .arrow,.bs-tooltip-right .arrow{left:0;width:.4rem;height:.8rem}.bs-tooltip-auto[x-placement^=right] .arrow::before,.bs-tooltip-right .arrow::before{right:0;border-width:.4rem .4rem .4rem 0;border-right-color:#000}.bs-tooltip-auto[x-placement^=bottom],.bs-tooltip-bottom{padding:.4rem 0}.bs-tooltip-auto[x-placement^=bottom] .arrow,.bs-tooltip-bottom .arrow{top:0}.bs-tooltip-auto[x-placement^=bottom] .arrow::before,.bs-tooltip-bottom .arrow::before{bottom:0;border-width:0 .4rem .4rem;border-bottom-color:#000}.bs-tooltip-auto[x-placement^=left],.bs-tooltip-left{padding:0 .4rem}.bs-tooltip-auto[x-placement^=left] .arrow,.bs-tooltip-left .arrow{right:0;width:.4rem;height:.8rem}.bs-tooltip-auto[x-placement^=left] .arrow::before,.bs-tooltip-left .arrow::before{left:0;border-width:.4rem 0 .4rem .4rem;border-left-color:#000}.tooltip-inner{max-width:200px;padding:.25rem .5rem;color:#fff;text-align:center;background-color:#000;border-radius:.25rem}.popover{position:absolute;top:0;left:0;z-index:1060;display:block;max-width:276px;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-style:normal;font-weight:400;line-height:1.5;text-align:left;text-align:start;text-decoration:none;text-shadow:none;text-transform:none;letter-spacing:normal;word-break:normal;word-spacing:normal;white-space:normal;line-break:auto;font-size:.875rem;word-wrap:break-word;background-color:#fff;background-clip:padding-box;border:1px solid rgba(0,0,0,.2);border-radius:.3rem}.popover .arrow{position:absolute;display:block;width:1rem;height:.5rem;margin:0 .3rem}.popover .arrow::after,.popover .arrow::before{position:absolute;display:block;content:"";border-color:transparent;border-style:solid}.bs-popover-auto[x-placement^=top],.bs-popover-top{margin-bottom:.5rem}.bs-popover-auto[x-placement^=top]>.arrow,.bs-popover-top>.arrow{bottom:calc(-.5rem - 1px)}.bs-popover-auto[x-placement^=top]>.arrow::before,.bs-popover-top>.arrow::before{bottom:0;border-width:.5rem .5rem 0;border-top-color:rgba(0,0,0,.25)}.bs-popover-auto[x-placement^=top]>.arrow::after,.bs-popover-top>.arrow::after{bottom:1px;border-width:.5rem .5rem 0;border-top-color:#fff}.bs-popover-auto[x-placement^=right],.bs-popover-right{margin-left:.5rem}.bs-popover-auto[x-placement^=right]>.arrow,.bs-popover-right>.arrow{left:calc(-.5rem - 1px);width:.5rem;height:1rem;margin:.3rem 0}.bs-popover-auto[x-placement^=right]>.arrow::before,.bs-popover-right>.arrow::before{left:0;border-width:.5rem .5rem .5rem 0;border-right-color:rgba(0,0,0,.25)}.bs-popover-auto[x-placement^=right]>.arrow::after,.bs-popover-right>.arrow::after{left:1px;border-width:.5rem .5rem .5rem 0;border-right-color:#fff}.bs-popover-auto[x-placement^=bottom],.bs-popover-bottom{margin-top:.5rem}.bs-popover-auto[x-placement^=bottom]>.arrow,.bs-popover-bottom>.arrow{top:calc(-.5rem - 1px)}.bs-popover-auto[x-placement^=bottom]>.arrow::before,.bs-popover-bottom>.arrow::before{top:0;border-width:0 .5rem .5rem .5rem;border-bottom-color:rgba(0,0,0,.25)}.bs-popover-auto[x-placement^=bottom]>.arrow::after,.bs-popover-bottom>.arrow::after{top:1px;border-width:0 .5rem .5rem .5rem;border-bottom-color:#fff}.bs-popover-auto[x-placement^=bottom] .popover-header::before,.bs-popover-bottom .popover-header::before{position:absolute;top:0;left:50%;display:block;width:1rem;margin-left:-.5rem;content:"";border-bottom:1px solid #f7f7f7}.bs-popover-auto[x-placement^=left],.bs-popover-left{margin-right:.5rem}.bs-popover-auto[x-placement^=left]>.arrow,.bs-popover-left>.arrow{right:calc(-.5rem - 1px);width:.5rem;height:1rem;margin:.3rem 0}.bs-popover-auto[x-placement^=left]>.arrow::before,.bs-popover-left>.arrow::before{right:0;border-width:.5rem 0 .5rem .5rem;border-left-color:rgba(0,0,0,.25)}.bs-popover-auto[x-placement^=left]>.arrow::after,.bs-popover-left>.arrow::after{right:1px;border-width:.5rem 0 .5rem .5rem;border-left-color:#fff}.popover-header{padding:.5rem .75rem;margin-bottom:0;font-size:1rem;background-color:#f7f7f7;border-bottom:1px solid #ebebeb;border-top-left-radius:calc(.3rem - 1px);border-top-right-radius:calc(.3rem - 1px)}.popover-header:empty{display:none}.popover-body{padding:.5rem .75rem;color:#212529}.carousel{position:relative}.carousel.pointer-event{-ms-touch-action:pan-y;touch-action:pan-y}.carousel-inner{position:relative;width:100%;overflow:hidden}.carousel-inner::after{display:block;clear:both;content:""}.carousel-item{position:relative;display:none;float:left;width:100%;margin-right:-100%;-webkit-backface-visibility:hidden;backface-visibility:hidden;transition:-webkit-transform .6s ease-in-out;transition:transform .6s ease-in-out;transition:transform .6s ease-in-out,-webkit-transform .6s ease-in-out}@media(prefers-reduced-motion:reduce){.carousel-item{transition:none}}.carousel-item-next,.carousel-item-prev,.carousel-item.active{display:block}.active.carousel-item-right,.carousel-item-next:not(.carousel-item-left){-webkit-transform:translateX(100%);transform:translateX(100%)}.active.carousel-item-left,.carousel-item-prev:not(.carousel-item-right){-webkit-transform:translateX(-100%);transform:translateX(-100%)}.carousel-fade .carousel-item{opacity:0;transition-property:opacity;-webkit-transform:none;transform:none}.carousel-fade .carousel-item-next.carousel-item-left,.carousel-fade .carousel-item-prev.carousel-item-right,.carousel-fade .carousel-item.active{z-index:1;opacity:1}.carousel-fade .active.carousel-item-left,.carousel-fade .active.carousel-item-right{z-index:0;opacity:0;transition:opacity 0s .6s}@media(prefers-reduced-motion:reduce){.carousel-fade .active.carousel-item-left,.carousel-fade .active.carousel-item-right{transition:none}}.carousel-control-next,.carousel-control-prev{position:absolute;top:0;bottom:0;z-index:1;display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;-ms-flex-pack:center;justify-content:center;width:15%;color:#fff;text-align:center;opacity:.5;transition:opacity .15s ease}@media(prefers-reduced-motion:reduce){.carousel-control-next,.carousel-control-prev{transition:none}}.carousel-control-next:focus,.carousel-control-next:hover,.carousel-control-prev:focus,.carousel-control-prev:hover{color:#fff;text-decoration:none;outline:0;opacity:.9}.carousel-control-prev{left:0}.carousel-control-next{right:0}.carousel-control-next-icon,.carousel-control-prev-icon{display:inline-block;width:20px;height:20px;background:no-repeat 50%/100% 100%}.carousel-control-prev-icon{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' fill='%23fff' width='8' height='8' viewBox='0 0 8 8'%3e%3cpath d='M5.25 0l-4 4 4 4 1.5-1.5L4.25 4l2.5-2.5L5.25 0z'/%3e%3c/svg%3e")}.carousel-control-next-icon{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' fill='%23fff' width='8' height='8' viewBox='0 0 8 8'%3e%3cpath d='M2.75 0l-1.5 1.5L3.75 4l-2.5 2.5L2.75 8l4-4-4-4z'/%3e%3c/svg%3e")}.carousel-indicators{position:absolute;right:0;bottom:0;left:0;z-index:15;display:-ms-flexbox;display:flex;-ms-flex-pack:center;justify-content:center;padding-left:0;margin-right:15%;margin-left:15%;list-style:none}.carousel-indicators li{box-sizing:content-box;-ms-flex:0 1 auto;flex:0 1 auto;width:30px;height:3px;margin-right:3px;margin-left:3px;text-indent:-999px;cursor:pointer;background-color:#fff;background-clip:padding-box;border-top:10px solid transparent;border-bottom:10px solid transparent;opacity:.5;transition:opacity .6s ease}@media(prefers-reduced-motion:reduce){.carousel-indicators li{transition:none}}.carousel-indicators .active{opacity:1}.carousel-caption{position:absolute;right:15%;bottom:20px;left:15%;z-index:10;padding-top:20px;padding-bottom:20px;color:#fff;text-align:center}@-webkit-keyframes spinner-border{to{-webkit-transform:rotate(360deg);transform:rotate(360deg)}}@keyframes spinner-border{to{-webkit-transform:rotate(360deg);transform:rotate(360deg)}}.spinner-border{display:inline-block;width:2rem;height:2rem;vertical-align:text-bottom;border:.25em solid currentColor;border-right-color:transparent;border-radius:50%;-webkit-animation:spinner-border .75s linear infinite;animation:spinner-border .75s linear infinite}.spinner-border-sm{width:1rem;height:1rem;border-width:.2em}@-webkit-keyframes spinner-grow{0%{-webkit-transform:scale(0);transform:scale(0)}50%{opacity:1;-webkit-transform:none;transform:none}}@keyframes spinner-grow{0%{-webkit-transform:scale(0);transform:scale(0)}50%{opacity:1;-webkit-transform:none;transform:none}}.spinner-grow{display:inline-block;width:2rem;height:2rem;vertical-align:text-bottom;background-color:currentColor;border-radius:50%;opacity:0;-webkit-animation:spinner-grow .75s linear infinite;animation:spinner-grow .75s linear infinite}.spinner-grow-sm{width:1rem;height:1rem}.align-baseline{vertical-align:baseline!important}.align-top{vertical-align:top!important}.align-middle{vertical-align:middle!important}.align-bottom{vertical-align:bottom!important}.align-text-bottom{vertical-align:text-bottom!important}.align-text-top{vertical-align:text-top!important}.bg-primary{background-color:#007bff!important}a.bg-primary:focus,a.bg-primary:hover,button.bg-primary:focus,button.bg-primary:hover{background-color:#0062cc!important}.bg-secondary{background-color:#6c757d!important}a.bg-secondary:focus,a.bg-secondary:hover,button.bg-secondary:focus,button.bg-secondary:hover{background-color:#545b62!important}.bg-success{background-color:#28a745!important}a.bg-success:focus,a.bg-success:hover,button.bg-success:focus,button.bg-success:hover{background-color:#1e7e34!important}.bg-info{background-color:#17a2b8!important}a.bg-info:focus,a.bg-info:hover,button.bg-info:focus,button.bg-info:hover{background-color:#117a8b!important}.bg-warning{background-color:#ffc107!important}a.bg-warning:focus,a.bg-warning:hover,button.bg-warning:focus,button.bg-warning:hover{background-color:#d39e00!important}.bg-danger{background-color:#dc3545!important}a.bg-danger:focus,a.bg-danger:hover,button.bg-danger:focus,button.bg-danger:hover{background-color:#bd2130!important}.bg-light{background-color:#f8f9fa!important}a.bg-light:focus,a.bg-light:hover,button.bg-light:focus,button.bg-light:hover{background-color:#dae0e5!important}.bg-dark{background-color:#343a40!important}a.bg-dark:focus,a.bg-dark:hover,button.bg-dark:focus,button.bg-dark:hover{background-color:#1d2124!important}.bg-white{background-color:#fff!important}.bg-transparent{background-color:transparent!important}.border{border:1px solid #dee2e6!important}.border-top{border-top:1px solid #dee2e6!important}.border-right{border-right:1px solid #dee2e6!important}.border-bottom{border-bottom:1px solid #dee2e6!important}.border-left{border-left:1px solid #dee2e6!important}.border-0{border:0!important}.border-top-0{border-top:0!important}.border-right-0{border-right:0!important}.border-bottom-0{border-bottom:0!important}.border-left-0{border-left:0!important}.border-primary{border-color:#007bff!important}.border-secondary{border-color:#6c757d!important}.border-success{border-color:#28a745!important}.border-info{border-color:#17a2b8!important}.border-warning{border-color:#ffc107!important}.border-danger{border-color:#dc3545!important}.border-light{border-color:#f8f9fa!important}.border-dark{border-color:#343a40!important}.border-white{border-color:#fff!important}.rounded-sm{border-radius:.2rem!important}.rounded{border-radius:.25rem!important}.rounded-top{border-top-left-radius:.25rem!important;border-top-right-radius:.25rem!important}.rounded-right{border-top-right-radius:.25rem!important;border-bottom-right-radius:.25rem!important}.rounded-bottom{border-bottom-right-radius:.25rem!important;border-bottom-left-radius:.25rem!important}.rounded-left{border-top-left-radius:.25rem!important;border-bottom-left-radius:.25rem!important}.rounded-lg{border-radius:.3rem!important}.rounded-circle{border-radius:50%!important}.rounded-pill{border-radius:50rem!important}.rounded-0{border-radius:0!important}.clearfix::after{display:block;clear:both;content:""}.d-none{display:none!important}.d-inline{display:inline!important}.d-inline-block{display:inline-block!important}.d-block{display:block!important}.d-table{display:table!important}.d-table-row{display:table-row!important}.d-table-cell{display:table-cell!important}.d-flex{display:-ms-flexbox!important;display:flex!important}.d-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}@media(min-width:576px){.d-sm-none{display:none!important}.d-sm-inline{display:inline!important}.d-sm-inline-block{display:inline-block!important}.d-sm-block{display:block!important}.d-sm-table{display:table!important}.d-sm-table-row{display:table-row!important}.d-sm-table-cell{display:table-cell!important}.d-sm-flex{display:-ms-flexbox!important;display:flex!important}.d-sm-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}@media(min-width:768px){.d-md-none{display:none!important}.d-md-inline{display:inline!important}.d-md-inline-block{display:inline-block!important}.d-md-block{display:block!important}.d-md-table{display:table!important}.d-md-table-row{display:table-row!important}.d-md-table-cell{display:table-cell!important}.d-md-flex{display:-ms-flexbox!important;display:flex!important}.d-md-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}@media(min-width:992px){.d-lg-none{display:none!important}.d-lg-inline{display:inline!important}.d-lg-inline-block{display:inline-block!important}.d-lg-block{display:block!important}.d-lg-table{display:table!important}.d-lg-table-row{display:table-row!important}.d-lg-table-cell{display:table-cell!important}.d-lg-flex{display:-ms-flexbox!important;display:flex!important}.d-lg-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}@media(min-width:1200px){.d-xl-none{display:none!important}.d-xl-inline{display:inline!important}.d-xl-inline-block{display:inline-block!important}.d-xl-block{display:block!important}.d-xl-table{display:table!important}.d-xl-table-row{display:table-row!important}.d-xl-table-cell{display:table-cell!important}.d-xl-flex{display:-ms-flexbox!important;display:flex!important}.d-xl-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}@media print{.d-print-none{display:none!important}.d-print-inline{display:inline!important}.d-print-inline-block{display:inline-block!important}.d-print-block{display:block!important}.d-print-table{display:table!important}.d-print-table-row{display:table-row!important}.d-print-table-cell{display:table-cell!important}.d-print-flex{display:-ms-flexbox!important;display:flex!important}.d-print-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}.embed-responsive{position:relative;display:block;width:100%;padding:0;overflow:hidden}.embed-responsive::before{display:block;content:""}.embed-responsive .embed-responsive-item,.embed-responsive embed,.embed-responsive iframe,.embed-responsive object,.embed-responsive video{position:absolute;top:0;bottom:0;left:0;width:100%;height:100%;border:0}.embed-responsive-21by9::before{padding-top:42.857143%}.embed-responsive-16by9::before{padding-top:56.25%}.embed-responsive-4by3::before{padding-top:75%}.embed-responsive-1by1::before{padding-top:100%}.flex-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-center{-ms-flex-align:center!important;align-items:center!important}.align-items-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}@media(min-width:576px){.flex-sm-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-sm-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-sm-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-sm-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-sm-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-sm-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-sm-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-sm-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-sm-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-sm-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-sm-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-sm-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-sm-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-sm-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-sm-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-sm-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-sm-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-sm-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-sm-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-sm-center{-ms-flex-align:center!important;align-items:center!important}.align-items-sm-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-sm-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-sm-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-sm-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-sm-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-sm-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-sm-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-sm-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-sm-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-sm-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-sm-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-sm-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-sm-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-sm-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}}@media(min-width:768px){.flex-md-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-md-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-md-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-md-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-md-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-md-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-md-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-md-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-md-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-md-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-md-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-md-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-md-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-md-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-md-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-md-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-md-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-md-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-md-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-md-center{-ms-flex-align:center!important;align-items:center!important}.align-items-md-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-md-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-md-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-md-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-md-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-md-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-md-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-md-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-md-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-md-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-md-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-md-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-md-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-md-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}}@media(min-width:992px){.flex-lg-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-lg-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-lg-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-lg-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-lg-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-lg-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-lg-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-lg-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-lg-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-lg-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-lg-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-lg-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-lg-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-lg-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-lg-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-lg-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-lg-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-lg-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-lg-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-lg-center{-ms-flex-align:center!important;align-items:center!important}.align-items-lg-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-lg-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-lg-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-lg-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-lg-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-lg-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-lg-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-lg-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-lg-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-lg-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-lg-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-lg-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-lg-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-lg-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}}@media(min-width:1200px){.flex-xl-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-xl-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-xl-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-xl-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-xl-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-xl-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-xl-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-xl-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-xl-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-xl-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-xl-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-xl-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-xl-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-xl-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-xl-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-xl-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-xl-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-xl-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-xl-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-xl-center{-ms-flex-align:center!important;align-items:center!important}.align-items-xl-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-xl-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-xl-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-xl-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-xl-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-xl-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-xl-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-xl-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-xl-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-xl-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-xl-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-xl-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-xl-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-xl-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}}.float-left{float:left!important}.float-right{float:right!important}.float-none{float:none!important}@media(min-width:576px){.float-sm-left{float:left!important}.float-sm-right{float:right!important}.float-sm-none{float:none!important}}@media(min-width:768px){.float-md-left{float:left!important}.float-md-right{float:right!important}.float-md-none{float:none!important}}@media(min-width:992px){.float-lg-left{float:left!important}.float-lg-right{float:right!important}.float-lg-none{float:none!important}}@media(min-width:1200px){.float-xl-left{float:left!important}.float-xl-right{float:right!important}.float-xl-none{float:none!important}}.user-select-all{-webkit-user-select:all!important;-moz-user-select:all!important;-ms-user-select:all!important;user-select:all!important}.user-select-auto{-webkit-user-select:auto!important;-moz-user-select:auto!important;-ms-user-select:auto!important;user-select:auto!important}.user-select-none{-webkit-user-select:none!important;-moz-user-select:none!important;-ms-user-select:none!important;user-select:none!important}.overflow-auto{overflow:auto!important}.overflow-hidden{overflow:hidden!important}.position-static{position:static!important}.position-relative{position:relative!important}.position-absolute{position:absolute!important}.position-fixed{position:fixed!important}.position-sticky{position:-webkit-sticky!important;position:sticky!important}.fixed-top{position:fixed;top:0;right:0;left:0;z-index:1030}.fixed-bottom{position:fixed;right:0;bottom:0;left:0;z-index:1030}@supports((position:-webkit-sticky) or (position:sticky)){.sticky-top{position:-webkit-sticky;position:sticky;top:0;z-index:1020}}.sr-only{position:absolute;width:1px;height:1px;padding:0;margin:-1px;overflow:hidden;clip:rect(0,0,0,0);white-space:nowrap;border:0}.sr-only-focusable:active,.sr-only-focusable:focus{position:static;width:auto;height:auto;overflow:visible;clip:auto;white-space:normal}.shadow-sm{box-shadow:0 .125rem .25rem rgba(0,0,0,.075)!important}.shadow{box-shadow:0 .5rem 1rem rgba(0,0,0,.15)!important}.shadow-lg{box-shadow:0 1rem 3rem rgba(0,0,0,.175)!important}.shadow-none{box-shadow:none!important}.w-25{width:25%!important}.w-50{width:50%!important}.w-75{width:75%!important}.w-100{width:100%!important}.w-auto{width:auto!important}.h-25{height:25%!important}.h-50{height:50%!important}.h-75{height:75%!important}.h-100{height:100%!important}.h-auto{height:auto!important}.mw-100{max-width:100%!important}.mh-100{max-height:100%!important}.min-vw-100{min-width:100vw!important}.min-vh-100{min-height:100vh!important}.vw-100{width:100vw!important}.vh-100{height:100vh!important}.m-0{margin:0!important}.mt-0,.my-0{margin-top:0!important}.mr-0,.mx-0{margin-right:0!important}.mb-0,.my-0{margin-bottom:0!important}.ml-0,.mx-0{margin-left:0!important}.m-1{margin:.25rem!important}.mt-1,.my-1{margin-top:.25rem!important}.mr-1,.mx-1{margin-right:.25rem!important}.mb-1,.my-1{margin-bottom:.25rem!important}.ml-1,.mx-1{margin-left:.25rem!important}.m-2{margin:.5rem!important}.mt-2,.my-2{margin-top:.5rem!important}.mr-2,.mx-2{margin-right:.5rem!important}.mb-2,.my-2{margin-bottom:.5rem!important}.ml-2,.mx-2{margin-left:.5rem!important}.m-3{margin:1rem!important}.mt-3,.my-3{margin-top:1rem!important}.mr-3,.mx-3{margin-right:1rem!important}.mb-3,.my-3{margin-bottom:1rem!important}.ml-3,.mx-3{margin-left:1rem!important}.m-4{margin:1.5rem!important}.mt-4,.my-4{margin-top:1.5rem!important}.mr-4,.mx-4{margin-right:1.5rem!important}.mb-4,.my-4{margin-bottom:1.5rem!important}.ml-4,.mx-4{margin-left:1.5rem!important}.m-5{margin:3rem!important}.mt-5,.my-5{margin-top:3rem!important}.mr-5,.mx-5{margin-right:3rem!important}.mb-5,.my-5{margin-bottom:3rem!important}.ml-5,.mx-5{margin-left:3rem!important}.p-0{padding:0!important}.pt-0,.py-0{padding-top:0!important}.pr-0,.px-0{padding-right:0!important}.pb-0,.py-0{padding-bottom:0!important}.pl-0,.px-0{padding-left:0!important}.p-1{padding:.25rem!important}.pt-1,.py-1{padding-top:.25rem!important}.pr-1,.px-1{padding-right:.25rem!important}.pb-1,.py-1{padding-bottom:.25rem!important}.pl-1,.px-1{padding-left:.25rem!important}.p-2{padding:.5rem!important}.pt-2,.py-2{padding-top:.5rem!important}.pr-2,.px-2{padding-right:.5rem!important}.pb-2,.py-2{padding-bottom:.5rem!important}.pl-2,.px-2{padding-left:.5rem!important}.p-3{padding:1rem!important}.pt-3,.py-3{padding-top:1rem!important}.pr-3,.px-3{padding-right:1rem!important}.pb-3,.py-3{padding-bottom:1rem!important}.pl-3,.px-3{padding-left:1rem!important}.p-4{padding:1.5rem!important}.pt-4,.py-4{padding-top:1.5rem!important}.pr-4,.px-4{padding-right:1.5rem!important}.pb-4,.py-4{padding-bottom:1.5rem!important}.pl-4,.px-4{padding-left:1.5rem!important}.p-5{padding:3rem!important}.pt-5,.py-5{padding-top:3rem!important}.pr-5,.px-5{padding-right:3rem!important}.pb-5,.py-5{padding-bottom:3rem!important}.pl-5,.px-5{padding-left:3rem!important}.m-n1{margin:-.25rem!important}.mt-n1,.my-n1{margin-top:-.25rem!important}.mr-n1,.mx-n1{margin-right:-.25rem!important}.mb-n1,.my-n1{margin-bottom:-.25rem!important}.ml-n1,.mx-n1{margin-left:-.25rem!important}.m-n2{margin:-.5rem!important}.mt-n2,.my-n2{margin-top:-.5rem!important}.mr-n2,.mx-n2{margin-right:-.5rem!important}.mb-n2,.my-n2{margin-bottom:-.5rem!important}.ml-n2,.mx-n2{margin-left:-.5rem!important}.m-n3{margin:-1rem!important}.mt-n3,.my-n3{margin-top:-1rem!important}.mr-n3,.mx-n3{margin-right:-1rem!important}.mb-n3,.my-n3{margin-bottom:-1rem!important}.ml-n3,.mx-n3{margin-left:-1rem!important}.m-n4{margin:-1.5rem!important}.mt-n4,.my-n4{margin-top:-1.5rem!important}.mr-n4,.mx-n4{margin-right:-1.5rem!important}.mb-n4,.my-n4{margin-bottom:-1.5rem!important}.ml-n4,.mx-n4{margin-left:-1.5rem!important}.m-n5{margin:-3rem!important}.mt-n5,.my-n5{margin-top:-3rem!important}.mr-n5,.mx-n5{margin-right:-3rem!important}.mb-n5,.my-n5{margin-bottom:-3rem!important}.ml-n5,.mx-n5{margin-left:-3rem!important}.m-auto{margin:auto!important}.mt-auto,.my-auto{margin-top:auto!important}.mr-auto,.mx-auto{margin-right:auto!important}.mb-auto,.my-auto{margin-bottom:auto!important}.ml-auto,.mx-auto{margin-left:auto!important}@media(min-width:576px){.m-sm-0{margin:0!important}.mt-sm-0,.my-sm-0{margin-top:0!important}.mr-sm-0,.mx-sm-0{margin-right:0!important}.mb-sm-0,.my-sm-0{margin-bottom:0!important}.ml-sm-0,.mx-sm-0{margin-left:0!important}.m-sm-1{margin:.25rem!important}.mt-sm-1,.my-sm-1{margin-top:.25rem!important}.mr-sm-1,.mx-sm-1{margin-right:.25rem!important}.mb-sm-1,.my-sm-1{margin-bottom:.25rem!important}.ml-sm-1,.mx-sm-1{margin-left:.25rem!important}.m-sm-2{margin:.5rem!important}.mt-sm-2,.my-sm-2{margin-top:.5rem!important}.mr-sm-2,.mx-sm-2{margin-right:.5rem!important}.mb-sm-2,.my-sm-2{margin-bottom:.5rem!important}.ml-sm-2,.mx-sm-2{margin-left:.5rem!important}.m-sm-3{margin:1rem!important}.mt-sm-3,.my-sm-3{margin-top:1rem!important}.mr-sm-3,.mx-sm-3{margin-right:1rem!important}.mb-sm-3,.my-sm-3{margin-bottom:1rem!important}.ml-sm-3,.mx-sm-3{margin-left:1rem!important}.m-sm-4{margin:1.5rem!important}.mt-sm-4,.my-sm-4{margin-top:1.5rem!important}.mr-sm-4,.mx-sm-4{margin-right:1.5rem!important}.mb-sm-4,.my-sm-4{margin-bottom:1.5rem!important}.ml-sm-4,.mx-sm-4{margin-left:1.5rem!important}.m-sm-5{margin:3rem!important}.mt-sm-5,.my-sm-5{margin-top:3rem!important}.mr-sm-5,.mx-sm-5{margin-right:3rem!important}.mb-sm-5,.my-sm-5{margin-bottom:3rem!important}.ml-sm-5,.mx-sm-5{margin-left:3rem!important}.p-sm-0{padding:0!important}.pt-sm-0,.py-sm-0{padding-top:0!important}.pr-sm-0,.px-sm-0{padding-right:0!important}.pb-sm-0,.py-sm-0{padding-bottom:0!important}.pl-sm-0,.px-sm-0{padding-left:0!important}.p-sm-1{padding:.25rem!important}.pt-sm-1,.py-sm-1{padding-top:.25rem!important}.pr-sm-1,.px-sm-1{padding-right:.25rem!important}.pb-sm-1,.py-sm-1{padding-bottom:.25rem!important}.pl-sm-1,.px-sm-1{padding-left:.25rem!important}.p-sm-2{padding:.5rem!important}.pt-sm-2,.py-sm-2{padding-top:.5rem!important}.pr-sm-2,.px-sm-2{padding-right:.5rem!important}.pb-sm-2,.py-sm-2{padding-bottom:.5rem!important}.pl-sm-2,.px-sm-2{padding-left:.5rem!important}.p-sm-3{padding:1rem!important}.pt-sm-3,.py-sm-3{padding-top:1rem!important}.pr-sm-3,.px-sm-3{padding-right:1rem!important}.pb-sm-3,.py-sm-3{padding-bottom:1rem!important}.pl-sm-3,.px-sm-3{padding-left:1rem!important}.p-sm-4{padding:1.5rem!important}.pt-sm-4,.py-sm-4{padding-top:1.5rem!important}.pr-sm-4,.px-sm-4{padding-right:1.5rem!important}.pb-sm-4,.py-sm-4{padding-bottom:1.5rem!important}.pl-sm-4,.px-sm-4{padding-left:1.5rem!important}.p-sm-5{padding:3rem!important}.pt-sm-5,.py-sm-5{padding-top:3rem!important}.pr-sm-5,.px-sm-5{padding-right:3rem!important}.pb-sm-5,.py-sm-5{padding-bottom:3rem!important}.pl-sm-5,.px-sm-5{padding-left:3rem!important}.m-sm-n1{margin:-.25rem!important}.mt-sm-n1,.my-sm-n1{margin-top:-.25rem!important}.mr-sm-n1,.mx-sm-n1{margin-right:-.25rem!important}.mb-sm-n1,.my-sm-n1{margin-bottom:-.25rem!important}.ml-sm-n1,.mx-sm-n1{margin-left:-.25rem!important}.m-sm-n2{margin:-.5rem!important}.mt-sm-n2,.my-sm-n2{margin-top:-.5rem!important}.mr-sm-n2,.mx-sm-n2{margin-right:-.5rem!important}.mb-sm-n2,.my-sm-n2{margin-bottom:-.5rem!important}.ml-sm-n2,.mx-sm-n2{margin-left:-.5rem!important}.m-sm-n3{margin:-1rem!important}.mt-sm-n3,.my-sm-n3{margin-top:-1rem!important}.mr-sm-n3,.mx-sm-n3{margin-right:-1rem!important}.mb-sm-n3,.my-sm-n3{margin-bottom:-1rem!important}.ml-sm-n3,.mx-sm-n3{margin-left:-1rem!important}.m-sm-n4{margin:-1.5rem!important}.mt-sm-n4,.my-sm-n4{margin-top:-1.5rem!important}.mr-sm-n4,.mx-sm-n4{margin-right:-1.5rem!important}.mb-sm-n4,.my-sm-n4{margin-bottom:-1.5rem!important}.ml-sm-n4,.mx-sm-n4{margin-left:-1.5rem!important}.m-sm-n5{margin:-3rem!important}.mt-sm-n5,.my-sm-n5{margin-top:-3rem!important}.mr-sm-n5,.mx-sm-n5{margin-right:-3rem!important}.mb-sm-n5,.my-sm-n5{margin-bottom:-3rem!important}.ml-sm-n5,.mx-sm-n5{margin-left:-3rem!important}.m-sm-auto{margin:auto!important}.mt-sm-auto,.my-sm-auto{margin-top:auto!important}.mr-sm-auto,.mx-sm-auto{margin-right:auto!important}.mb-sm-auto,.my-sm-auto{margin-bottom:auto!important}.ml-sm-auto,.mx-sm-auto{margin-left:auto!important}}@media(min-width:768px){.m-md-0{margin:0!important}.mt-md-0,.my-md-0{margin-top:0!important}.mr-md-0,.mx-md-0{margin-right:0!important}.mb-md-0,.my-md-0{margin-bottom:0!important}.ml-md-0,.mx-md-0{margin-left:0!important}.m-md-1{margin:.25rem!important}.mt-md-1,.my-md-1{margin-top:.25rem!important}.mr-md-1,.mx-md-1{margin-right:.25rem!important}.mb-md-1,.my-md-1{margin-bottom:.25rem!important}.ml-md-1,.mx-md-1{margin-left:.25rem!important}.m-md-2{margin:.5rem!important}.mt-md-2,.my-md-2{margin-top:.5rem!important}.mr-md-2,.mx-md-2{margin-right:.5rem!important}.mb-md-2,.my-md-2{margin-bottom:.5rem!important}.ml-md-2,.mx-md-2{margin-left:.5rem!important}.m-md-3{margin:1rem!important}.mt-md-3,.my-md-3{margin-top:1rem!important}.mr-md-3,.mx-md-3{margin-right:1rem!important}.mb-md-3,.my-md-3{margin-bottom:1rem!important}.ml-md-3,.mx-md-3{margin-left:1rem!important}.m-md-4{margin:1.5rem!important}.mt-md-4,.my-md-4{margin-top:1.5rem!important}.mr-md-4,.mx-md-4{margin-right:1.5rem!important}.mb-md-4,.my-md-4{margin-bottom:1.5rem!important}.ml-md-4,.mx-md-4{margin-left:1.5rem!important}.m-md-5{margin:3rem!important}.mt-md-5,.my-md-5{margin-top:3rem!important}.mr-md-5,.mx-md-5{margin-right:3rem!important}.mb-md-5,.my-md-5{margin-bottom:3rem!important}.ml-md-5,.mx-md-5{margin-left:3rem!important}.p-md-0{padding:0!important}.pt-md-0,.py-md-0{padding-top:0!important}.pr-md-0,.px-md-0{padding-right:0!important}.pb-md-0,.py-md-0{padding-bottom:0!important}.pl-md-0,.px-md-0{padding-left:0!important}.p-md-1{padding:.25rem!important}.pt-md-1,.py-md-1{padding-top:.25rem!important}.pr-md-1,.px-md-1{padding-right:.25rem!important}.pb-md-1,.py-md-1{padding-bottom:.25rem!important}.pl-md-1,.px-md-1{padding-left:.25rem!important}.p-md-2{padding:.5rem!important}.pt-md-2,.py-md-2{padding-top:.5rem!important}.pr-md-2,.px-md-2{padding-right:.5rem!important}.pb-md-2,.py-md-2{padding-bottom:.5rem!important}.pl-md-2,.px-md-2{padding-left:.5rem!important}.p-md-3{padding:1rem!important}.pt-md-3,.py-md-3{padding-top:1rem!important}.pr-md-3,.px-md-3{padding-right:1rem!important}.pb-md-3,.py-md-3{padding-bottom:1rem!important}.pl-md-3,.px-md-3{padding-left:1rem!important}.p-md-4{padding:1.5rem!important}.pt-md-4,.py-md-4{padding-top:1.5rem!important}.pr-md-4,.px-md-4{padding-right:1.5rem!important}.pb-md-4,.py-md-4{padding-bottom:1.5rem!important}.pl-md-4,.px-md-4{padding-left:1.5rem!important}.p-md-5{padding:3rem!important}.pt-md-5,.py-md-5{padding-top:3rem!important}.pr-md-5,.px-md-5{padding-right:3rem!important}.pb-md-5,.py-md-5{padding-bottom:3rem!important}.pl-md-5,.px-md-5{padding-left:3rem!important}.m-md-n1{margin:-.25rem!important}.mt-md-n1,.my-md-n1{margin-top:-.25rem!important}.mr-md-n1,.mx-md-n1{margin-right:-.25rem!important}.mb-md-n1,.my-md-n1{margin-bottom:-.25rem!important}.ml-md-n1,.mx-md-n1{margin-left:-.25rem!important}.m-md-n2{margin:-.5rem!important}.mt-md-n2,.my-md-n2{margin-top:-.5rem!important}.mr-md-n2,.mx-md-n2{margin-right:-.5rem!important}.mb-md-n2,.my-md-n2{margin-bottom:-.5rem!important}.ml-md-n2,.mx-md-n2{margin-left:-.5rem!important}.m-md-n3{margin:-1rem!important}.mt-md-n3,.my-md-n3{margin-top:-1rem!important}.mr-md-n3,.mx-md-n3{margin-right:-1rem!important}.mb-md-n3,.my-md-n3{margin-bottom:-1rem!important}.ml-md-n3,.mx-md-n3{margin-left:-1rem!important}.m-md-n4{margin:-1.5rem!important}.mt-md-n4,.my-md-n4{margin-top:-1.5rem!important}.mr-md-n4,.mx-md-n4{margin-right:-1.5rem!important}.mb-md-n4,.my-md-n4{margin-bottom:-1.5rem!important}.ml-md-n4,.mx-md-n4{margin-left:-1.5rem!important}.m-md-n5{margin:-3rem!important}.mt-md-n5,.my-md-n5{margin-top:-3rem!important}.mr-md-n5,.mx-md-n5{margin-right:-3rem!important}.mb-md-n5,.my-md-n5{margin-bottom:-3rem!important}.ml-md-n5,.mx-md-n5{margin-left:-3rem!important}.m-md-auto{margin:auto!important}.mt-md-auto,.my-md-auto{margin-top:auto!important}.mr-md-auto,.mx-md-auto{margin-right:auto!important}.mb-md-auto,.my-md-auto{margin-bottom:auto!important}.ml-md-auto,.mx-md-auto{margin-left:auto!important}}@media(min-width:992px){.m-lg-0{margin:0!important}.mt-lg-0,.my-lg-0{margin-top:0!important}.mr-lg-0,.mx-lg-0{margin-right:0!important}.mb-lg-0,.my-lg-0{margin-bottom:0!important}.ml-lg-0,.mx-lg-0{margin-left:0!important}.m-lg-1{margin:.25rem!important}.mt-lg-1,.my-lg-1{margin-top:.25rem!important}.mr-lg-1,.mx-lg-1{margin-right:.25rem!important}.mb-lg-1,.my-lg-1{margin-bottom:.25rem!important}.ml-lg-1,.mx-lg-1{margin-left:.25rem!important}.m-lg-2{margin:.5rem!important}.mt-lg-2,.my-lg-2{margin-top:.5rem!important}.mr-lg-2,.mx-lg-2{margin-right:.5rem!important}.mb-lg-2,.my-lg-2{margin-bottom:.5rem!important}.ml-lg-2,.mx-lg-2{margin-left:.5rem!important}.m-lg-3{margin:1rem!important}.mt-lg-3,.my-lg-3{margin-top:1rem!important}.mr-lg-3,.mx-lg-3{margin-right:1rem!important}.mb-lg-3,.my-lg-3{margin-bottom:1rem!important}.ml-lg-3,.mx-lg-3{margin-left:1rem!important}.m-lg-4{margin:1.5rem!important}.mt-lg-4,.my-lg-4{margin-top:1.5rem!important}.mr-lg-4,.mx-lg-4{margin-right:1.5rem!important}.mb-lg-4,.my-lg-4{margin-bottom:1.5rem!important}.ml-lg-4,.mx-lg-4{margin-left:1.5rem!important}.m-lg-5{margin:3rem!important}.mt-lg-5,.my-lg-5{margin-top:3rem!important}.mr-lg-5,.mx-lg-5{margin-right:3rem!important}.mb-lg-5,.my-lg-5{margin-bottom:3rem!important}.ml-lg-5,.mx-lg-5{margin-left:3rem!important}.p-lg-0{padding:0!important}.pt-lg-0,.py-lg-0{padding-top:0!important}.pr-lg-0,.px-lg-0{padding-right:0!important}.pb-lg-0,.py-lg-0{padding-bottom:0!important}.pl-lg-0,.px-lg-0{padding-left:0!important}.p-lg-1{padding:.25rem!important}.pt-lg-1,.py-lg-1{padding-top:.25rem!important}.pr-lg-1,.px-lg-1{padding-right:.25rem!important}.pb-lg-1,.py-lg-1{padding-bottom:.25rem!important}.pl-lg-1,.px-lg-1{padding-left:.25rem!important}.p-lg-2{padding:.5rem!important}.pt-lg-2,.py-lg-2{padding-top:.5rem!important}.pr-lg-2,.px-lg-2{padding-right:.5rem!important}.pb-lg-2,.py-lg-2{padding-bottom:.5rem!important}.pl-lg-2,.px-lg-2{padding-left:.5rem!important}.p-lg-3{padding:1rem!important}.pt-lg-3,.py-lg-3{padding-top:1rem!important}.pr-lg-3,.px-lg-3{padding-right:1rem!important}.pb-lg-3,.py-lg-3{padding-bottom:1rem!important}.pl-lg-3,.px-lg-3{padding-left:1rem!important}.p-lg-4{padding:1.5rem!important}.pt-lg-4,.py-lg-4{padding-top:1.5rem!important}.pr-lg-4,.px-lg-4{padding-right:1.5rem!important}.pb-lg-4,.py-lg-4{padding-bottom:1.5rem!important}.pl-lg-4,.px-lg-4{padding-left:1.5rem!important}.p-lg-5{padding:3rem!important}.pt-lg-5,.py-lg-5{padding-top:3rem!important}.pr-lg-5,.px-lg-5{padding-right:3rem!important}.pb-lg-5,.py-lg-5{padding-bottom:3rem!important}.pl-lg-5,.px-lg-5{padding-left:3rem!important}.m-lg-n1{margin:-.25rem!important}.mt-lg-n1,.my-lg-n1{margin-top:-.25rem!important}.mr-lg-n1,.mx-lg-n1{margin-right:-.25rem!important}.mb-lg-n1,.my-lg-n1{margin-bottom:-.25rem!important}.ml-lg-n1,.mx-lg-n1{margin-left:-.25rem!important}.m-lg-n2{margin:-.5rem!important}.mt-lg-n2,.my-lg-n2{margin-top:-.5rem!important}.mr-lg-n2,.mx-lg-n2{margin-right:-.5rem!important}.mb-lg-n2,.my-lg-n2{margin-bottom:-.5rem!important}.ml-lg-n2,.mx-lg-n2{margin-left:-.5rem!important}.m-lg-n3{margin:-1rem!important}.mt-lg-n3,.my-lg-n3{margin-top:-1rem!important}.mr-lg-n3,.mx-lg-n3{margin-right:-1rem!important}.mb-lg-n3,.my-lg-n3{margin-bottom:-1rem!important}.ml-lg-n3,.mx-lg-n3{margin-left:-1rem!important}.m-lg-n4{margin:-1.5rem!important}.mt-lg-n4,.my-lg-n4{margin-top:-1.5rem!important}.mr-lg-n4,.mx-lg-n4{margin-right:-1.5rem!important}.mb-lg-n4,.my-lg-n4{margin-bottom:-1.5rem!important}.ml-lg-n4,.mx-lg-n4{margin-left:-1.5rem!important}.m-lg-n5{margin:-3rem!important}.mt-lg-n5,.my-lg-n5{margin-top:-3rem!important}.mr-lg-n5,.mx-lg-n5{margin-right:-3rem!important}.mb-lg-n5,.my-lg-n5{margin-bottom:-3rem!important}.ml-lg-n5,.mx-lg-n5{margin-left:-3rem!important}.m-lg-auto{margin:auto!important}.mt-lg-auto,.my-lg-auto{margin-top:auto!important}.mr-lg-auto,.mx-lg-auto{margin-right:auto!important}.mb-lg-auto,.my-lg-auto{margin-bottom:auto!important}.ml-lg-auto,.mx-lg-auto{margin-left:auto!important}}@media(min-width:1200px){.m-xl-0{margin:0!important}.mt-xl-0,.my-xl-0{margin-top:0!important}.mr-xl-0,.mx-xl-0{margin-right:0!important}.mb-xl-0,.my-xl-0{margin-bottom:0!important}.ml-xl-0,.mx-xl-0{margin-left:0!important}.m-xl-1{margin:.25rem!important}.mt-xl-1,.my-xl-1{margin-top:.25rem!important}.mr-xl-1,.mx-xl-1{margin-right:.25rem!important}.mb-xl-1,.my-xl-1{margin-bottom:.25rem!important}.ml-xl-1,.mx-xl-1{margin-left:.25rem!important}.m-xl-2{margin:.5rem!important}.mt-xl-2,.my-xl-2{margin-top:.5rem!important}.mr-xl-2,.mx-xl-2{margin-right:.5rem!important}.mb-xl-2,.my-xl-2{margin-bottom:.5rem!important}.ml-xl-2,.mx-xl-2{margin-left:.5rem!important}.m-xl-3{margin:1rem!important}.mt-xl-3,.my-xl-3{margin-top:1rem!important}.mr-xl-3,.mx-xl-3{margin-right:1rem!important}.mb-xl-3,.my-xl-3{margin-bottom:1rem!important}.ml-xl-3,.mx-xl-3{margin-left:1rem!important}.m-xl-4{margin:1.5rem!important}.mt-xl-4,.my-xl-4{margin-top:1.5rem!important}.mr-xl-4,.mx-xl-4{margin-right:1.5rem!important}.mb-xl-4,.my-xl-4{margin-bottom:1.5rem!important}.ml-xl-4,.mx-xl-4{margin-left:1.5rem!important}.m-xl-5{margin:3rem!important}.mt-xl-5,.my-xl-5{margin-top:3rem!important}.mr-xl-5,.mx-xl-5{margin-right:3rem!important}.mb-xl-5,.my-xl-5{margin-bottom:3rem!important}.ml-xl-5,.mx-xl-5{margin-left:3rem!important}.p-xl-0{padding:0!important}.pt-xl-0,.py-xl-0{padding-top:0!important}.pr-xl-0,.px-xl-0{padding-right:0!important}.pb-xl-0,.py-xl-0{padding-bottom:0!important}.pl-xl-0,.px-xl-0{padding-left:0!important}.p-xl-1{padding:.25rem!important}.pt-xl-1,.py-xl-1{padding-top:.25rem!important}.pr-xl-1,.px-xl-1{padding-right:.25rem!important}.pb-xl-1,.py-xl-1{padding-bottom:.25rem!important}.pl-xl-1,.px-xl-1{padding-left:.25rem!important}.p-xl-2{padding:.5rem!important}.pt-xl-2,.py-xl-2{padding-top:.5rem!important}.pr-xl-2,.px-xl-2{padding-right:.5rem!important}.pb-xl-2,.py-xl-2{padding-bottom:.5rem!important}.pl-xl-2,.px-xl-2{padding-left:.5rem!important}.p-xl-3{padding:1rem!important}.pt-xl-3,.py-xl-3{padding-top:1rem!important}.pr-xl-3,.px-xl-3{padding-right:1rem!important}.pb-xl-3,.py-xl-3{padding-bottom:1rem!important}.pl-xl-3,.px-xl-3{padding-left:1rem!important}.p-xl-4{padding:1.5rem!important}.pt-xl-4,.py-xl-4{padding-top:1.5rem!important}.pr-xl-4,.px-xl-4{padding-right:1.5rem!important}.pb-xl-4,.py-xl-4{padding-bottom:1.5rem!important}.pl-xl-4,.px-xl-4{padding-left:1.5rem!important}.p-xl-5{padding:3rem!important}.pt-xl-5,.py-xl-5{padding-top:3rem!important}.pr-xl-5,.px-xl-5{padding-right:3rem!important}.pb-xl-5,.py-xl-5{padding-bottom:3rem!important}.pl-xl-5,.px-xl-5{padding-left:3rem!important}.m-xl-n1{margin:-.25rem!important}.mt-xl-n1,.my-xl-n1{margin-top:-.25rem!important}.mr-xl-n1,.mx-xl-n1{margin-right:-.25rem!important}.mb-xl-n1,.my-xl-n1{margin-bottom:-.25rem!important}.ml-xl-n1,.mx-xl-n1{margin-left:-.25rem!important}.m-xl-n2{margin:-.5rem!important}.mt-xl-n2,.my-xl-n2{margin-top:-.5rem!important}.mr-xl-n2,.mx-xl-n2{margin-right:-.5rem!important}.mb-xl-n2,.my-xl-n2{margin-bottom:-.5rem!important}.ml-xl-n2,.mx-xl-n2{margin-left:-.5rem!important}.m-xl-n3{margin:-1rem!important}.mt-xl-n3,.my-xl-n3{margin-top:-1rem!important}.mr-xl-n3,.mx-xl-n3{margin-right:-1rem!important}.mb-xl-n3,.my-xl-n3{margin-bottom:-1rem!important}.ml-xl-n3,.mx-xl-n3{margin-left:-1rem!important}.m-xl-n4{margin:-1.5rem!important}.mt-xl-n4,.my-xl-n4{margin-top:-1.5rem!important}.mr-xl-n4,.mx-xl-n4{margin-right:-1.5rem!important}.mb-xl-n4,.my-xl-n4{margin-bottom:-1.5rem!important}.ml-xl-n4,.mx-xl-n4{margin-left:-1.5rem!important}.m-xl-n5{margin:-3rem!important}.mt-xl-n5,.my-xl-n5{margin-top:-3rem!important}.mr-xl-n5,.mx-xl-n5{margin-right:-3rem!important}.mb-xl-n5,.my-xl-n5{margin-bottom:-3rem!important}.ml-xl-n5,.mx-xl-n5{margin-left:-3rem!important}.m-xl-auto{margin:auto!important}.mt-xl-auto,.my-xl-auto{margin-top:auto!important}.mr-xl-auto,.mx-xl-auto{margin-right:auto!important}.mb-xl-auto,.my-xl-auto{margin-bottom:auto!important}.ml-xl-auto,.mx-xl-auto{margin-left:auto!important}}.stretched-link::after{position:absolute;top:0;right:0;bottom:0;left:0;z-index:1;pointer-events:auto;content:"";background-color:rgba(0,0,0,0)}.text-monospace{font-family:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace!important}.text-justify{text-align:justify!important}.text-wrap{white-space:normal!important}.text-nowrap{white-space:nowrap!important}.text-truncate{overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.text-left{text-align:left!important}.text-right{text-align:right!important}.text-center{text-align:center!important}@media(min-width:576px){.text-sm-left{text-align:left!important}.text-sm-right{text-align:right!important}.text-sm-center{text-align:center!important}}@media(min-width:768px){.text-md-left{text-align:left!important}.text-md-right{text-align:right!important}.text-md-center{text-align:center!important}}@media(min-width:992px){.text-lg-left{text-align:left!important}.text-lg-right{text-align:right!important}.text-lg-center{text-align:center!important}}@media(min-width:1200px){.text-xl-left{text-align:left!important}.text-xl-right{text-align:right!important}.text-xl-center{text-align:center!important}}.text-lowercase{text-transform:lowercase!important}.text-uppercase{text-transform:uppercase!important}.text-capitalize{text-transform:capitalize!important}.font-weight-light{font-weight:300!important}.font-weight-lighter{font-weight:lighter!important}.font-weight-normal{font-weight:400!important}.font-weight-bold{font-weight:700!important}.font-weight-bolder{font-weight:bolder!important}.font-italic{font-style:italic!important}.text-white{color:#fff!important}.text-primary{color:#007bff!important}a.text-primary:focus,a.text-primary:hover{color:#0056b3!important}.text-secondary{color:#6c757d!important}a.text-secondary:focus,a.text-secondary:hover{color:#494f54!important}.text-success{color:#28a745!important}a.text-success:focus,a.text-success:hover{color:#19692c!important}.text-info{color:#17a2b8!important}a.text-info:focus,a.text-info:hover{color:#0f6674!important}.text-warning{color:#ffc107!important}a.text-warning:focus,a.text-warning:hover{color:#ba8b00!important}.text-danger{color:#dc3545!important}a.text-danger:focus,a.text-danger:hover{color:#a71d2a!important}.text-light{color:#f8f9fa!important}a.text-light:focus,a.text-light:hover{color:#cbd3da!important}.text-dark{color:#343a40!important}a.text-dark:focus,a.text-dark:hover{color:#121416!important}.text-body{color:#212529!important}.text-muted{color:#6c757d!important}.text-black-50{color:rgba(0,0,0,.5)!important}.text-white-50{color:rgba(255,255,255,.5)!important}.text-hide{font:0/0 a;color:transparent;text-shadow:none;background-color:transparent;border:0}.text-decoration-none{text-decoration:none!important}.text-break{word-break:break-word!important;word-wrap:break-word!important}.text-reset{color:inherit!important}.visible{visibility:visible!important}.invisible{visibility:hidden!important}@media print{*,::after,::before{text-shadow:none!important;box-shadow:none!important}a:not(.btn){text-decoration:underline}abbr[title]::after{content:" (" attr(title) ")"}pre{white-space:pre-wrap!important}blockquote,pre{border:1px solid #adb5bd;page-break-inside:avoid}thead{display:table-header-group}img,tr{page-break-inside:avoid}h2,h3,p{orphans:3;widows:3}h2,h3{page-break-after:avoid}@page{size:a3}body{min-width:992px!important}.container{min-width:992px!important}.navbar{display:none}.badge{border:1px solid #000}.table{border-collapse:collapse!important}.table td,.table th{background-color:#fff!important}.table-bordered td,.table-bordered th{border:1px solid #dee2e6!important}.table-dark{color:inherit}.table-dark tbody+tbody,.table-dark td,.table-dark th,.table-dark thead th{border-color:#dee2e6}.table .thead-dark th{color:inherit;border-color:#dee2e6}}h1{font-size:130%;font-weight:600}h2{font-size:105%;font-weight:600}h3{font-size:105%;font-weight:600}.max-width-1400{max-width:1400px}span.cursor-pointer{cursor:pointer}a.navbar-brand{font-size:1.75rem;color:#fff}img#m4u-logo{position:relative;top:-2.5px}span.hidden-link{color:#008000;color:#007bff}span.hidden-link:hover{color:#0056b3;text-decoration:underline;cursor:pointer}span.pointer{cursor:pointer}.input-validation-error{border-color:#dc3545}.input-validation-error:focus{border-color:#dc3545;box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.field-validation-error{width:100%;color:#dc3545;font-size:80%;margin-top:.25rem}.validation-summary-errors{color:#dc3545}.validation-summary-errors>ul{margin-top:.8rem;margin-bottom:.8rem;padding:0;list-style-type:none}.overflow-x-auto{overflow-x:auto;-webkit-overflow-scrolling:touch}div.border-black{border:1px solid #000;border-radius:4px}.pl-0{padding-left:0}.pr-0{padding-right:0}ul.list-style-none{list-style:none}.btn-success-with-transition{border-color:#28a745;color:#fff;background-color:#28a745;transition:.5s ease-in-out}input[type="button"].btn-m4u-link,a[href^="#"],a.chapters,button.btn-m4u-link{font-size:90%;color:#007bff;cursor:pointer;background-color:transparent;border:0;padding:0;border-bottom:1px dotted #007bff;border-radius:0;margin-bottom:5px}input[type="button"]:hover.btn-m4u-link,a[href^="#"]:hover,a.chapters:hover,button.btn-m4u-link:hover{color:#0056b3;border-bottom:1px dotted #0056b3;text-decoration:none}input[type="button"].btn-red-cross{font-size:90%;color:#ff6464;border-bottom:0}input[type="button"].btn-red-cross:hover{font-size:90%;color:#f00;border-bottom:0}span.m4u-card-text{font-size:80%;line-height:1pt}span.m4u-card-text:hover{color:#00f}.m4u-card{border:1px solid #c0c0c0;border-radius:5px;padding:10px}.m4u-card:hover{border:1px solid #00f;cursor:pointer}span.text-underline{text-decoration:underline}.mathlocal{font-style:italic}.mathUnknownFuncLocal{font-family:times new roman;font-size:18px;font-style:italic;margin-right:4px}.mathfunclocal{font-family:times new roman;font-size:18px}.mathExpLocal{font-family:Times New Roman;font-size:140%;font-weight:bolder;font-style:italic;margin-right:2px}.mathOpLocal{font-size:100%;margin-left:2px;margin-right:3px}.mathDiffLocal{font-family:Times New Roman;font-size:120%;font-style:italic;margin:0 2px 0 0}.mathIndefIntLocal{font-family:Times New Roman;font-size:250%;position:relative;top:6pt}.mathmatrixlocal{font-family:Times New Roman;font-size:140%;font-style:italic}.mathvarlocal{font-family:Times New Roman;font-style:italic}.mathnumlocal{font-family:Times New Roman;font-style:normal}.mathBracketLocal{font-size:100%}.mathEqParamDeriv{margin:0 3px 0 3px}sub>.mathnumlocal{font-family:verdana;font-size:100%}sup>.mathnumlocal{font-style:normal}.definition{border:1px solid #c4c4c4;border-radius:5px;border-top-color:#007bff;border-top-width:5px;background-color:#f5f5f5;padding:10px}footer{font-size:90%}footer>p{margin-bottom:5px}.breadcrumb{background-color:transparent;padding:0}.breadcrumb-item{font-size:90%}.lh-25pt{line-height:25pt}.pt-20{padding-top:20px}.top-5-5px{top:5.5px!important}.top-10px{top:12px!important}.mr-3px{margin-right:3px}.icon{display:inline-block;background-color:transparent;background-repeat:no-repeat;position:relative}.icon-user{width:20px;height:18px;background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 448 512'%3E%3Cpath d='M224 256c70.7 0 128-57.3 128-128S294.7 0 224 0 96 57.3 96 128s57.3 128 128 128zm89.6 32h-16.7c-22.2 10.2-46.9 16-72.9 16s-50.6-5.8-72.9-16h-16.7C60.2 288 0 348.2 0 422.4V464c0 26.5 21.5 48 48 48h352c26.5 0 48-21.5 48-48v-41.6c0-74.2-60.2-134.4-134.4-134.4z' fill='%23fff'/%3E%3C/svg%3E");top:3px}.flag{width:24px;height:18px;top:4.9px}.flag-ru{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 512 512'%3E%3Cpath fill='%23f0f0f0' d='M0 85.33v341.332h512V85.33z'/%3E%3Cpath fill='%230052b4' d='M0 85.333h512V426.67H0z'/%3E%3Cpath fill='%23f0f0f0' d='M0 85.333h512v113.775H0z'/%3E%3Cpath fill='%23d80027' d='M0 312.884h512v113.775H0z'/%3E%3C/svg%3E")}.flag-us{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 512 512'%3E%3Cpath fill='%23f0f0f0' d='M0 85.331h512v341.337H0z'/%3E%3Cg fill='%23d80027'%3E%3Cpath d='M0 127.994h512v42.663H0zM0 213.331h512v42.663H0zM0 298.657h512v42.663H0zM0 383.994h512v42.663H0z'/%3E%3C/g%3E%3Cpath fill='%232e52b2' d='M0 85.331h256v183.797H0z'/%3E%3Cg fill='%23f0f0f0'%3E%3Cpath d='M99.822 160.624l-4.123 12.684H82.363l10.791 7.835-4.123 12.683 10.791-7.835 10.784 7.835-4.122-12.683 10.791-7.835h-13.337zM103.938 219.08l-4.116-12.683-4.123 12.683H82.363l10.791 7.836-4.123 12.683 10.791-7.836 10.784 7.836-4.122-12.683 10.791-7.836zM47.577 219.08l-4.117-12.683-4.123 12.683H26.001l10.791 7.836-4.123 12.683 10.791-7.836 10.785 7.836-4.122-12.683 10.789-7.836zM43.46 160.624l-4.123 12.684H26.001l10.791 7.835-4.123 12.683 10.791-7.835 10.785 7.835-4.122-12.683 10.789-7.835H47.577zM99.822 114.85l-4.123 12.685H82.363l10.791 7.836-4.123 12.683 10.791-7.836 10.784 7.836-4.122-12.683 10.791-7.836h-13.337zM43.46 114.85l-4.123 12.685H26.001l10.791 7.836-4.123 12.683 10.791-7.836 10.785 7.836-4.122-12.683 10.789-7.836H47.577zM156.183 160.624l-4.122 12.684h-13.336l10.79 7.835-4.121 12.683 10.789-7.835 10.786 7.835-4.123-12.683 10.791-7.835h-13.336zM160.301 219.08l-4.118-12.683-4.122 12.683h-13.336l10.79 7.836-4.121 12.683 10.789-7.836 10.786 7.836-4.123-12.683 10.791-7.836zM216.663 219.08l-4.117-12.683-4.123 12.683h-13.335l10.789 7.836-4.122 12.683 10.791-7.836 10.785 7.836-4.123-12.683 10.791-7.836zM212.546 160.624l-4.123 12.684h-13.335l10.789 7.835-4.122 12.683 10.791-7.835 10.785 7.835-4.123-12.683 10.791-7.835h-13.336zM156.183 114.85l-4.122 12.685h-13.336l10.79 7.836-4.121 12.683 10.789-7.836 10.786 7.836-4.123-12.683 10.791-7.836h-13.336zM212.546 114.85l-4.123 12.685h-13.335l10.789 7.836-4.122 12.683 10.791-7.836 10.785 7.836-4.123-12.683 10.791-7.836h-13.336z'/%3E%3C/g%3E%3C/svg%3E")}.icon-theory-size{width:20px;height:18px;top:4px}.icon-theory{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 487.865 487.865'%3E%3Cpath d='M425.974 0H96.025C74.447 0 56.892 17.555 56.892 39.133V444.69c0 21.748 16.166 39.782 37.11 42.741.62.275 1.302.435 2.023.435.361 0 .712-.042 1.052-.115.99.068 1.985.115 2.991.115h325.905a5 5 0 005-5V5a4.998 4.998 0 00-4.999-5zm-5 10v58.267H96.025c-2.191 0-4.324-.251-6.378-.712V10.712A29.096 29.096 0 0196.025 10h324.949zM79.647 15.054v48.159c-7.694-5.25-12.756-14.084-12.756-24.08.001-9.996 5.063-18.83 12.756-24.079zm21.378 462.811v-29.126c0-2.762-2.238-5-5-5s-5 2.238-5 5v27.863c-13.911-3.948-24.134-16.755-24.134-31.913V65.226a39.323 39.323 0 0013.014 9.552c.644 2.018 2.511 3.489 4.742 3.489a4.96 4.96 0 002.896-.937c1.143.254 2.304.455 3.482.606v330.779c0 2.762 2.238 5 5 5s5-2.238 5-5V78.267h319.948v399.599H101.025zm1.377-450.11a5 5 0 015-5h295.815c2.762 0 5 2.238 5 5s-2.238 5-5 5H107.402a5 5 0 01-5-5zm0 22.769a5 5 0 015-5h295.815c2.762 0 5 2.238 5 5s-2.238 5-5 5H107.402a5 5 0 01-5-5zm287.067 139.144a5 5 0 01-5 5H193.202v131.536a5 5 0 01-9.569 2.031l-32.813-73.827h-22.351c-2.762 0-5-2.238-5-5s2.238-5 5-5h25.6a5 5 0 014.569 2.969l24.564 55.268V189.668a5 5 0 015-5h196.267a5 5 0 015 5zm-153.601 59.739v3.534h12.067c2.762 0 5 2.238 5 5s-2.238 5-5 5h-12.067v32.434c0 12.167-9.899 22.066-22.066 22.066-2.762 0-5-2.238-5-5s2.238-5 5-5c6.653 0 12.066-5.413 12.066-12.066v-32.434h-5.933c-2.762 0-5-2.238-5-5s2.238-5 5-5h5.933v-3.534c0-21.578 17.556-39.133 39.134-39.133 2.762 0 5 2.238 5 5s-2.238 5-5 5c-16.064 0-29.134 13.07-29.134 29.133zm42.667 17.068c0 13.687 14.177 21.069 14.319 21.142 2.454 1.251 3.443 4.255 2.202 6.713a4.999 4.999 0 01-4.464 2.751c-.75 0-1.512-.17-2.229-.528-.81-.405-19.829-10.149-19.829-30.077 0-19.927 19.02-29.672 19.829-30.077a5 5 0 014.488 8.936c-.243.125-14.316 7.504-14.316 21.14zm102.401-.107c0 19.928-19.021 29.672-19.83 30.077a5.001 5.001 0 01-4.488-8.937c.25-.129 14.318-7.507 14.318-21.141 0-13.686-14.178-21.069-14.32-21.142-2.454-1.251-3.443-4.255-2.202-6.713s4.231-3.452 6.692-2.223c.809.407 19.83 10.152 19.83 30.079zm-35.599-13.425l-13.531 13.532 13.531 13.532a4.998 4.998 0 01-3.535 8.535 4.98 4.98 0 01-3.535-1.465l-13.531-13.532-13.531 13.532c-.976.977-2.256 1.465-3.535 1.465s-2.56-.488-3.535-1.465a4.998 4.998 0 010-7.07l13.531-13.532-13.531-13.532a4.998 4.998 0 010-7.07 4.998 4.998 0 017.07 0l13.531 13.532 13.531-13.532a4.998 4.998 0 017.07 0 4.998 4.998 0 010 7.07z' fill='%23fff'/%3E%3C/svg%3E")}.icon-account-login-size{width:20px;height:20px;top:9.5px}.icon-account-login{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='8' height='8'%3E%3Cpath d='M3 0v1h4v5H3v1h5V0H3zm1 2v1H0v1h4v1l2-1.5L4 2z'/%3E%3C/svg%3E")}.icon-account-logout-size{width:20px;height:20px;top:9.5px}.icon-account-logout{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='8' height='8'%3E%3Cpath d='M3 0v1h4v5H3v1h5V0H3zM2 2L0 3.5 2 5V4h4V3H2V2z'/%3E%3C/svg%3E")}.icon-account-pencil-size{width:15px;height:20px;top:6px}.icon-account-pencil{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='15' height='20'%3E%3Cpath fill-rule='evenodd' d='M0 12v3h3l8-8-3-3-8 8zm3 2H1v-2h1v1h1v1zm10.3-9.3L12 6 9 3l1.3-1.3a.996.996 0 011.41 0l1.59 1.59c.39.39.39 1.02 0 1.41z'/%3E%3C/svg%3E")}.icon-calculator-white-size{width:32px;height:32px;left:10px;top:10px}.icon-calculator-white-18-size{width:18px;height:18px;left:1px;top:3.5px}.icon-calculator-white{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 1000 1000' fill='%23fff'%3E%3Cpath d='M886.8 990H113.2C56.4 990 10 943.6 10 886.8V113.2C10 56.4 56.4 10 113.2 10h773.7C943.6 10 990 56.4 990 113.2v773.7c0 56.7-46.4 103.1-103.2 103.1zM680.5 835.3h77.4v-51.6h-77.4v51.6zM396.8 242.1h-77.4v-77.4H242v77.4h-77.4v77.4H242v77.4h77.4v-77.4h77.4v-77.4zm0 541.6l-51.6-51.6 51.6-51.6-51.6-51.6-51.6 51.6-51.6-51.6-51.6 51.6 51.6 51.6-51.6 54.2 51.6 51.6 49-51.6 51.6 51.6 54.2-54.2zm438.5-541.6H603.2v77.4h232.1v-77.4zM680.5 603.2v51.6h77.4v-51.6h-77.4zm154.8 77.3H603.2v77.4h232.1v-77.4z'/%3E%3C/svg%3E")}.icon-18-size{position:relative;top:3px;width:18px;height:18px}.icon-calculator-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M14.1 0H3.9C3 0 2.3.8 2.3 1.7v14.6c0 .9.7 1.7 1.6 1.7H14c.9 0 1.7-.8 1.7-1.7V1.7C15.7.8 15 0 14.1 0zM4.5 7.3c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1c0 .3-.3.6-.6.6H5.1c-.3 0-.6-.3-.6-.6V7.3zm0 3.4c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1c0 .3-.3.6-.6.6H5.1c-.3 0-.6-.3-.6-.6v-1.1zm5.6 4.5c0 .3-.3.6-.6.6H5.1c-.3 0-.6-.3-.6-.6v-1.1c0-.3.3-.6.6-.6h4.5c.3 0 .6.3.6.6v1.1zm0-3.4c0 .3-.3.6-.6.6H8.4c-.3 0-.6-.3-.6-.6v-1.1c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm0-3.4c0 .3-.2.6-.5.6H8.4c-.3 0-.5-.3-.5-.6V7.3c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm3.4 6.8c0 .3-.3.6-.6.6h-1.1c-.3 0-.6-.3-.6-.6v-1.1c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm0-3.4c0 .3-.3.6-.6.6h-1.1c-.3 0-.6-.3-.6-.6v-1.1c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm0-3.4c0 .3-.3.6-.6.6h-1.1c-.3 0-.6-.3-.6-.6V7.3c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm0-3.3c0 .3-.3.6-.6.6H5.1c-.3 0-.6-.3-.6-.6V2.8c0-.3.3-.6.6-.6H13c.3 0 .6.3.6.6v2.3z'/%3E%3C/svg%3E")}.nav-link:hover>.icon-calculator-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M14.1 0H3.9C3 0 2.3.8 2.3 1.7v14.6c0 .9.7 1.7 1.6 1.7H14c.9 0 1.7-.8 1.7-1.7V1.7C15.7.8 15 0 14.1 0zM4.5 7.3c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1c0 .3-.3.6-.6.6H5.1c-.3 0-.6-.3-.6-.6V7.3zm0 3.4c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1c0 .3-.3.6-.6.6H5.1c-.3 0-.6-.3-.6-.6v-1.1zm5.6 4.5c0 .3-.3.6-.6.6H5.1c-.3 0-.6-.3-.6-.6v-1.1c0-.3.3-.6.6-.6h4.5c.3 0 .6.3.6.6v1.1zm0-3.4c0 .3-.3.6-.6.6H8.4c-.3 0-.6-.3-.6-.6v-1.1c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm0-3.4c0 .3-.2.6-.5.6H8.4c-.3 0-.5-.3-.5-.6V7.3c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm3.4 6.8c0 .3-.3.6-.6.6h-1.1c-.3 0-.6-.3-.6-.6v-1.1c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm0-3.4c0 .3-.3.6-.6.6h-1.1c-.3 0-.6-.3-.6-.6v-1.1c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm0-3.4c0 .3-.3.6-.6.6h-1.1c-.3 0-.6-.3-.6-.6V7.3c0-.3.3-.6.6-.6h1.1c.3 0 .6.3.6.6v1.1zm0-3.3c0 .3-.3.6-.6.6H5.1c-.3 0-.6-.3-.6-.6V2.8c0-.3.3-.6.6-.6H13c.3 0 .6.3.6.6v2.3z' style='fill:%23007bff'/%3E%3C/svg%3E")}.icon-chart-simple-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M6.7 1.9C6.7.9 7.5 0 8.4 0h1.1c.9 0 1.7.9 1.7 1.9V16c0 1.1-.8 1.9-1.7 1.9H8.4c-.9 0-1.7-.9-1.7-1.9V1.9zM1.1 9.6c0-1.1.8-1.9 1.7-1.9h1.1c.9 0 1.7.9 1.7 1.9V16c0 1.1-.8 1.9-1.7 1.9H2.8c-.9 0-1.7-.9-1.7-1.9V9.6zm14.1-7c.9 0 1.7.9 1.7 1.9v11.6c0 1.1-.8 1.9-1.7 1.9h-1.1c-.9 0-1.7-.9-1.7-1.9V4.5c0-1.1.8-1.9 1.7-1.9h1.1z'/%3E%3C/svg%3E")}.nav-link:hover>.icon-chart-simple-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M6.7 1.9C6.7.9 7.5 0 8.4 0h1.1c.9 0 1.7.9 1.7 1.9V16c0 1.1-.8 1.9-1.7 1.9H8.4c-.9 0-1.7-.9-1.7-1.9V1.9zM1.1 9.6c0-1.1.8-1.9 1.7-1.9h1.1c.9 0 1.7.9 1.7 1.9V16c0 1.1-.8 1.9-1.7 1.9H2.8c-.9 0-1.7-.9-1.7-1.9V9.6zm14.1-7c.9 0 1.7.9 1.7 1.9v11.6c0 1.1-.8 1.9-1.7 1.9h-1.1c-.9 0-1.7-.9-1.7-1.9V4.5c0-1.1.8-1.9 1.7-1.9h1.1z' style='fill:%23007bff'/%3E%3C/svg%3E")}.icon-cube-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M8.2.1c.5-.2 1-.2 1.5 0l6.8 2.4c.9.4 1.5 1.2 1.5 2.2v8.6c0 1-.6 1.8-1.5 2.1l-6.8 2.4c-.5.2-1 .2-1.5 0l-6.8-2.4C.6 15.1 0 14.3 0 13.3V4.7c0-1 .6-1.8 1.5-2.1L8.2.1zM9 2.3 2.9 4.5 9 6.7l6.1-2.2L9 2.3zm1.1 13 5.6-2V6.6l-5.6 2v6.7z'/%3E%3C/svg%3E")}.nav-link:hover>.icon-cube-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M8.2.1c.5-.2 1-.2 1.5 0l6.8 2.4c.9.4 1.5 1.2 1.5 2.2v8.6c0 1-.6 1.8-1.5 2.1l-6.8 2.4c-.5.2-1 .2-1.5 0l-6.8-2.4C.6 15.1 0 14.3 0 13.3V4.7c0-1 .6-1.8 1.5-2.1L8.2.1zM9 2.3 2.9 4.5 9 6.7l6.1-2.2L9 2.3zm1.1 13 5.6-2V6.6l-5.6 2v6.7z' style='fill:%23007bff'/%3E%3C/svg%3E")}.icon-book-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M16.7 11.8V1.7C16.7.8 16 0 15.1 0H4.6C2.7 0 1.3 1.5 1.3 3.4v11.3c0 1.9 1.5 3.4 3.3 3.4h11.1c.6 0 1.1-.5 1.1-1.1 0-.4-.2-.8-.6-1v-2.9c.3-.3.5-.8.5-1.3zM6.2 4.5h6.6c.3 0 .6.3.6.6s-.2.6-.6.6H6.2c-.3 0-.5-.3-.5-.6s.2-.6.5-.6zm0 2.3h6.6c.3 0 .6.3.6.6s-.2.6-.6.6H6.2c-.3 0-.5-.3-.5-.6s.2-.6.5-.6zm8.3 9H4.6c-.6 0-1.1-.5-1.1-1.1s.5-1.1 1.1-1.1h9.9v2.2z'/%3E%3C/svg%3E")}.nav-link:hover>.icon-book-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M16.7 11.8V1.7C16.7.8 16 0 15.1 0H4.6C2.7 0 1.3 1.5 1.3 3.4v11.3c0 1.9 1.5 3.4 3.3 3.4h11.1c.6 0 1.1-.5 1.1-1.1 0-.4-.2-.8-.6-1v-2.9c.3-.3.5-.8.5-1.3zM6.2 4.5h6.6c.3 0 .6.3.6.6s-.2.6-.6.6H6.2c-.3 0-.5-.3-.5-.6s.2-.6.5-.6zm0 2.3h6.6c.3 0 .6.3.6.6s-.2.6-.6.6H6.2c-.3 0-.5-.3-.5-.6s.2-.6.5-.6zm8.3 9H4.6c-.6 0-1.1-.5-1.1-1.1s.5-1.1 1.1-1.1h9.9v2.2z' style='fill:%23007bff'/%3E%3C/svg%3E")}.icon-graduation-cap-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='m17.5 5.2-8-3.3c-.4-.2-.8-.2-1.2 0L.5 5.2c-.3.1-.5.4-.5.7 0 .3.2.6.5.7l1.7.7c-.4.6-.6 1.1-.8 1.8-.3.1-.5.5-.5.9 0 .3.1.6.3.8l-.7 4.8c0 .3.2.6.4.6h1.6c.3 0 .5-.3.4-.6l-.7-4.8c.2-.2.3-.5.3-.8 0-.3-.1-.6-.4-.8.4-.5.6-1.1.9-1.5l5.4 2.2c.4.2.8.2 1.2 0l8-3.3c.2-.1.4-.4.4-.7 0-.3-.2-.6-.5-.7zm-7.6 5.7c-.3.1-.6.2-.9.2-.3 0-.6-.1-.9-.2L4 9.2l-.4 4.6c0 1.3 2.4 2.4 5.4 2.4 3 0 5.4-1.1 5.4-2.4L14 9.2l-4.1 1.7z'/%3E%3C/svg%3E")}.nav-link:hover>.icon-graduation-cap-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='m17.5 5.2-8-3.3c-.4-.2-.8-.2-1.2 0L.5 5.2c-.3.1-.5.4-.5.7 0 .3.2.6.5.7l1.7.7c-.4.6-.6 1.1-.8 1.8-.3.1-.5.5-.5.9 0 .3.1.6.3.8l-.7 4.8c0 .3.2.6.4.6h1.6c.3 0 .5-.3.4-.6l-.7-4.8c.2-.2.3-.5.3-.8 0-.3-.1-.6-.4-.8.4-.5.6-1.1.9-1.5l5.4 2.2c.4.2.8.2 1.2 0l8-3.3c.2-.1.4-.4.4-.7 0-.3-.2-.6-.5-.7zm-7.6 5.7c-.3.1-.6.2-.9.2-.3 0-.6-.1-.9-.2L4 9.2l-.4 4.6c0 1.3 2.4 2.4 5.4 2.4 3 0 5.4-1.1 5.4-2.4L14 9.2l-4.1 1.7z' style='fill:%23007bff'/%3E%3C/svg%3E")}.icon-info-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M11.2 15.6h-1.1V7.2C10.1 6.5 9.6 6 9 6H6.8c-.7 0-1.2.5-1.2 1.2s.5 1.2 1.1 1.2h1.1v7.2h-1c-.6 0-1.1.5-1.1 1.2S6.2 18 6.8 18h4.5c.6 0 1.1-.5 1.1-1.2s-.5-1.2-1.2-1.2zM9 3.6c.9 0 1.7-.8 1.7-1.8S9.9 0 9 0 7.3.8 7.3 1.8 8.1 3.6 9 3.6z'/%3E%3C/svg%3E")}.nav-link:hover>.icon-info-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M11.2 15.6h-1.1V7.2C10.1 6.5 9.6 6 9 6H6.8c-.7 0-1.2.5-1.2 1.2s.5 1.2 1.1 1.2h1.1v7.2h-1c-.6 0-1.1.5-1.1 1.2S6.2 18 6.8 18h4.5c.6 0 1.1-.5 1.1-1.2s-.5-1.2-1.2-1.2zM9 3.6c.9 0 1.7-.8 1.7-1.8S9.9 0 9 0 7.3.8 7.3 1.8 8.1 3.6 9 3.6z' style='fill:%23007bff'/%3E%3C/svg%3E")}.icon-user-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M9 9c2.5 0 4.5-2 4.5-4.5S11.5 0 9 0 4.5 2 4.5 4.5 6.5 9 9 9zm1.8 1.7H7.2c-3.4 0-6.1 2.7-6.1 6.1 0 .7.5 1.2 1.2 1.2h13.3c.7 0 1.2-.5 1.2-1.2.1-3.4-2.7-6.1-6-6.1z'/%3E%3C/svg%3E")}.nav-link:hover>.icon-user-menu,.nav-item:hover>.icon-user-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M9 9c2.5 0 4.5-2 4.5-4.5S11.5 0 9 0 4.5 2 4.5 4.5 6.5 9 9 9zm1.8 1.7H7.2c-3.4 0-6.1 2.7-6.1 6.1 0 .7.5 1.2 1.2 1.2h13.3c.7 0 1.2-.5 1.2-1.2.1-3.4-2.7-6.1-6-6.1z' style='fill:%23007bff'/%3E%3C/svg%3E")}.icon-login-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M6.8 0v2.6h9v12.9h-9V18H18V0H6.8zM9 5.1v2.6H0v2.6h9v2.6L13.5 9 9 5.1z'/%3E%3C/svg%3E")}.nav-link:hover>.icon-login-menu,.nav-item:hover>.icon-login-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M6.8 0v2.6h9v12.9h-9V18H18V0H6.8zM9 5.1v2.6H0v2.6h9v2.6L13.5 9 9 5.1z' style='fill:%23007bff'/%3E%3C/svg%3E")}.icon-about-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M9 0C4 0 0 4 0 9s4 9 9 9 9-4 9-9-4-9-9-9zm0 4.5c.6 0 1.1.5 1.1 1.1S9.6 6.8 9 6.8s-1.1-.6-1.1-1.2.5-1.1 1.1-1.1zm1.4 9H7.6c-.5 0-.8-.4-.8-.8s.4-.8.8-.8h.6V9.6h-.3c-.5 0-.9-.4-.9-.9s.4-.8.8-.8H9c.5 0 .8.4.8.8v3.1h.6c.5 0 .8.4.8.8s-.3.9-.8.9z'/%3E%3C/svg%3E")}.nav-item:hover>.icon-about-menu{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' xml:space='preserve' style='enable-background:new 0 0 18 18' viewBox='0 0 18 18'%3E%3Cpath d='M9 0C4 0 0 4 0 9s4 9 9 9 9-4 9-9-4-9-9-9zm0 4.5c.6 0 1.1.5 1.1 1.1S9.6 6.8 9 6.8s-1.1-.6-1.1-1.2.5-1.1 1.1-1.1zm1.4 9H7.6c-.5 0-.8-.4-.8-.8s.4-.8.8-.8h.6V9.6h-.3c-.5 0-.9-.4-.9-.9s.4-.8.8-.8H9c.5 0 .8.4.8.8v3.1h.6c.5 0 .8.4.8.8s-.3.9-.8.9z' style='fill:%23007bff'/%3E%3C/svg%3E")}.ad-foxford{width:506px;height:90px;display:inline-block;background-color:transparent;background-repeat:no-repeat;border:1px solid #c4c4c4;border-radius:4px;background-image:url("/imgs/ad/foxford/ege/foxford-506x90-radius-ege.jpg")}@media all and (min-width:690px){.ad-foxford{width:600px;height:90px;background-image:url("/imgs/ad/foxford/ege/foxford-600x90-radius-ege.jpg")}}@media all and (min-width:820px){.ad-foxford{width:728px;height:90px;background-image:url("/imgs/ad/foxford/ege/foxford-728x90-radius-ege.jpg")}}button.btn-m4u-link:focus{border:0}html,body{overflow-x:hidden}body{padding-top:56px}.navbar-light .navbar-nav .nav-link:hover{color:rgba(255,255,255,.85)}.ph-menu-ru{padding-right:0!important;padding-left:1.2rem!important}.ph-menu-en{padding-right:0!important;padding-left:1.9rem!important}@media all and (min-width:767.98px) and (max-width:900px){.ph-menu-ru{margin-right:15px!important}}@media all and (max-width:767.98px){.ph-menu-ru,.ph-menu-en{padding-left:0!important}}@media all and (min-width:767.98px) and (max-width:800px){.ph-menu-en{padding-left:1.2rem!important}}.navbar-nav .dropdown-menu{float:left}.text-menu-ru,.text-menu-en{color:#000!important;font-size:100%}@media all and (min-width:767.98px) and (max-width:975px){.text-menu-ru{font-size:90%}}@media all and (min-width:767.98px) and (max-width:900px){.text-menu-ru{display:none}.mr-20-px-gt-768-ls-900-ru{margin-right:40px}}.nav-link{padding-bottom:.2rem}.nav-link:hover>.text-menu-ru,.nav-link:hover>.text-menu-en,.nav-item:hover>span{color:#007bff!important}.hamburger{display:none;width:24px;height:28px;position:relative;cursor:pointer;margin-top:5px;margin-left:5px}.hamburger span{display:block;position:absolute;height:2px;width:100%;background-color:#9a9da0;background-color:#fff;border-radius:0;left:0;transform:rotate(0deg);transition:.25s ease-in-out}.hamburger span:nth-child(1){top:5px}.hamburger span:nth-child(2),.hamburger span:nth-child(3){top:13px}.hamburger span:nth-child(4){top:21px}@media all and (max-width:767.98px){.offcanvas-collapse{left:100%;top:53px;width:100%;bottom:0;padding-right:1rem;padding-left:1rem;visibility:hidden;position:fixed;-ms-overflow-y:auto;background-color:#fff}.open.offcanvas-collapse{left:0;visibility:visible}.hamburger{display:inline-block}}.nav-scroller{height:2.75rem;position:relative;z-index:2;overflow-y:hidden}.nav-scroller .nav{display:-ms-flexbox;display:flex;-ms-flex-wrap:nowrap;flex-wrap:nowrap;padding-bottom:1rem;margin-top:-1px;overflow-x:auto;color:rgba(255,255,255,.75);text-align:center;white-space:nowrap;-webkit-overflow-scrolling:touch}.nav-underline .nav-link{color:#6c757d;padding-top:.75rem;padding-bottom:.75rem;font-size:.875rem}.nav-underline .nav-link:hover{color:#007bff}.nav-underline .active{color:#343a40;font-weight:500}.text-white-50{color:rgba(255,255,255,.5)}.bg-purple{background-color:#6f42c1}.border-bottom{border-bottom-color:#e5e5e5;border-bottom-width:1px;border-bottom-style:solid}.box-shadow{box-shadow:0 .25rem .75rem rgba(0,0,0,.05)}.lh-125{line-height:1.25}.hamburger-open span:nth-child(1){top:18px;width:0;left:50%}.hamburger-open span:nth-child(2){transform:rotate(45deg)}.hamburger-open span:nth-child(3){transform:rotate(-45deg)}.hamburger-open span:nth-child(4){top:18px;width:0;left:50%}.navbar-brand{padding-top:0;padding-bottom:0;font-size:1.8rem}.navbar{padding-top:.35rem;padding-bottom:.35rem}img#m4u-logo{display:inline}@media all and (min-width:767.98px){li.item-hidden-lg{display:none}.navbar{padding-left:0;padding-right:0}}@media all and (max-width:767.98px){li.item-hidden-xs{display:none}}.inline-block{display:inline-block}li.pointer{cursor:pointer}@media all and (max-width:280px){span.hidden-ls{display:none}}.pt-10{padding-top:10px}.outline-color-white{outline-color:#fff!important}.auto-hide{position:fixed;z-index:200;top:0;left:0;width:100%;height:56px;-webkit-transition:-webkit-transform .5s;transition:-webkit-transform .5s;transition:transform .5s;transition:transform .5s,-webkit-transform .5s}.auto-hide.is-hidden{-webkit-transform:translateY(-100%);-ms-transform:translateY(-100%);transform:translateY(-100%)}.formula{display:inline-block;background-color:transparent;background-repeat:no-repeat;position:relative}input[type="text"].expression,input[type="text"].m4uFunc{width:298px}input[type="text"].hidden,select.hidden,span.hidden,td.hidden{display:none}div.serviceResult{margin-top:30px;background-color:#fff;padding:2.5rem 3.5rem 2.5rem 3.5rem;box-shadow:0 .25rem .75rem rgba(0,0,0,.05);border:1px solid #e6e6e6}@media all and (max-width:992px){div.serviceResult{padding:2.5rem 2rem 2.5rem 2rem}}@media all and (max-width:458px){div.serviceResult{padding:2.5rem .5rem 2.5rem .5rem}}select.variable{font-family:Times New Roman;font-size:120%;font-style:italic;cursor:pointer}input[type="button"].hidden,div.hidden{display:none}input[type="button"].btn-var{background-color:#b6ff00}div.simple-error{margin-bottom:0;width:100%;text-align:left}.black{color:#000}.green{color:#008000}.error-color{color:#970707}.bg-error{background-color:#fee!important}.bg-error-border{border:1px solid #c88787;border-radius:4px}div.input-error{width:100%;padding:7px 10px 7px 10px;font-size:14px;color:#970707}div.input-error>h2{margin-bottom:0}div.input-error>p{margin-bottom:0;text-align:justify}div.input-error>ul{color:#008000;text-align:justify}div.input-error>ul>li{list-style-type:disc}div.input-error>ul>li>a{color:#00f}span.attention{color:#8d0707}div.vk-error{color:#dc3545;font-size:80%;font-weight:600}div.matrix{border-left:1px solid #000;border-right:1px solid #000;border-radius:8px;padding:5px}div.overflow-x-auto{overflow-x:auto}img.vector-abbr-A{position:relative;top:-4px}img.vector-abbr-B{position:relative;top:-6px}img.vector-abbr-C{position:relative;top:-4px}.inputFuncsArea{margin:0;resize:none;border-width:1px;border-color:#b2b3b3}input[type="button"].plotOptionsButton{width:25px;height:25px;font-family:Times New Roman;font-size:110%;text-align:center;border:1px solid #b2b3b3;padding:0;margin:5px 0 0 0}input[type="button"].plotOptionsButton:hover{cursor:pointer}#showGrid,#track{margin:5px 5px 0 0;border:1px solid #b2b3b3}.minMax{width:50px;border:1px solid #b2b3b3}div#dInputBasic{display:none}div#reLink{clear:both}div.opacity-50{opacity:.5;filter:alpha(Opacity=50)}.h-25px{height:25px!important}.h-27px{height:27px!important}.h-30px{height:30px!important}.pb-5px{padding-bottom:5px!important}div.steps,div.expr{margin:10px 0}hr{background-color:#c4c4c4}.combo-select-input-right{position:relative;left:-6px;border-bottom-left-radius:0!important;border-top-left-radius:0!important}.l-minus-11px{position:relative;left:-11px}.l-minus-16px{position:relative;left:-16px}.l-minus-20px{position:relative;left:-20px}.no-right-radius{border-bottom-right-radius:0!important;border-top-right-radius:0!important}.no-left-border{border-left:0}.no-right-border{border-right:0!important}.no-left-radius{border-bottom-left-radius:0!important;border-top-left-radius:0!important}.combo-input-select-left{border-bottom-right-radius:0!important;border-top-right-radius:0!important}.pt-0px{padding-top:0}.pb-0px{padding-bottom:0}img.svg-responsive{width:100%}img.svg-series-fourier-plot{max-width:500px;max-height:375px}img.svg-range{max-width:380px;max-height:250px}img.svg-arbitrary-equation-plot{max-width:380px;max-height:225px}img.svg-inequality-plot{max-width:380px;max-height:215px}img.svg-extremum-plot{max-width:370px;max-height:215px}img.svg-inflection-plot{max-width:360px;max-height:150px}img.svg-rowreduced{max-width:326.52px;max-height:128.456px}img.svg-matrix{max-width:354.712px;max-height:128.456px}img.svg-nlse-plot{max-width:378px;max-height:190px}img.svg-matrix-a{max-width:361.792px;max-height:128.456px}img.svg-matrix-inverse{max-width:436.568px;max-height:132.184px}img.svg-inequality-system-numberline{max-width:377px;max-height:82px}img.svg-inequality-system-solution{max-width:377px;max-height:43px}img.svg-parabola-plot{max-width:360px;max-height:150px}img.svg-improper-int-plot{max-width:360px;max-height:230px}img.svg-vector-field-plot{max-width:274px;max-height:273px}img.responsive{width:100%}img.grad-3d-plot{max-width:379px;height:209px}img.svg-defint-plot{max-width:253px;max-height:184px}img.svg-area-between-cross-plot{max-width:360px;max-height:216px}img.svg-area-between-not-cross-plot{max-width:286px;max-height:216px}img.svg-differential-plot{max-width:360px;max-height:230px}img.svg-volume-of-solid-plot-fx{max-width:360px;max-height:234px}img.svg-volume-of-solid-plot-x-3d{max-width:360px;max-height:360px}img.svg-volume-of-solid-plot-gy{max-width:285px;max-height:230px}img.svg-volume-of-solid-plot-y-3d{max-width:285px;max-height:260px}img.svg-discontinuity-removable-plot{max-width:360px;max-height:216px}img.svg-discontinuity-jump-plot{max-width:360px;max-height:216px}img.svg-discontinuity-infinity-plot{max-width:360px;max-height:190px}img.svg-function-zeros-plot{max-width:361px;max-height:200px}img.svg-vectors-orthogonality-definition{max-width:100px;max-height:100px}img.svg-numerical-newton-plot{max-width:360px;max-height:234px}img.svg-intercepts-plot{max-width:305px;max-height:190px}img.svg-def-int-double-domain{max-width:200px;max-height:200px}div#calcicon{position:fixed;bottom:70px;cursor:pointer;height:52px;width:52px;right:7px;background-color:#007bff;border-radius:30px;box-shadow:0 0 31px -6px rgba(0,0,0,.75);display:none;z-index:1000}.icon-action{display:inline-block;background-color:transparent;position:relative;background-repeat:no-repeat}.icon-random-size{width:24px;height:24px}.icon-random{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='24' height='24'%3E%3Cpath fill='%23007BFF' fill-rule='evenodd' d='M20.753 15.22c.33.293.33.767 0 1.06l-2.813 2.5c-.527.469-1.44.14-1.44-.53V17h-2.067a.448.448 0 01-.308-.12l-2.48-2.361 1.874-1.786 1.856 1.767H16.5v-1.25c0-.67.912-1 1.44-.53l2.813 2.5zM3.422 9.5C3.189 9.5 3 9.332 3 9.125v-1.75C3 7.168 3.189 7 3.422 7h3.895c.117 0 .228.043.308.12l2.48 2.362-1.874 1.785L6.375 9.5H3.422zm13.078 0h-1.125l-7.75 7.38a.448.448 0 01-.308.12H3.422C3.189 17 3 16.832 3 16.625v-1.75c0-.207.189-.375.422-.375h2.953l7.75-7.38a.448.448 0 01.308-.12H16.5V5.75c0-.67.912-1 1.44-.53l2.813 2.5c.33.293.33.767 0 1.06l-2.813 2.5c-.527.469-1.44.14-1.44-.53V9.5z'/%3E%3C/svg%3E")}.icon-random:hover{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='24' height='24'%3E%3Cpath fill='%230056B3' fill-rule='evenodd' d='M20.753 15.22c.33.293.33.767 0 1.06l-2.813 2.5c-.527.469-1.44.14-1.44-.53V17h-2.067a.448.448 0 01-.308-.12l-2.48-2.361 1.874-1.786 1.856 1.767H16.5v-1.25c0-.67.912-1 1.44-.53l2.813 2.5zM3.422 9.5C3.189 9.5 3 9.332 3 9.125v-1.75C3 7.168 3.189 7 3.422 7h3.895c.117 0 .228.043.308.12l2.48 2.362-1.874 1.785L6.375 9.5H3.422zm13.078 0h-1.125l-7.75 7.38a.448.448 0 01-.308.12H3.422C3.189 17 3 16.832 3 16.625v-1.75c0-.207.189-.375.422-.375h2.953l7.75-7.38a.448.448 0 01.308-.12H16.5V5.75c0-.67.912-1 1.44-.53l2.813 2.5c.33.293.33.767 0 1.06l-2.813 2.5c-.527.469-1.44.14-1.44-.53V9.5z'/%3E%3C/svg%3E")}.icon-clear-button-mr{margin-right:15px}.icon-clear-size{width:20px;height:24px;top:2px}.icon-clear-enabled{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='20' height='20'%3E%3Cstyle%3E.color%7Bstroke:%23007BFF;fill:%23007BFF%7D%3C/style%3E%3Cpath stroke-width='3' d='M5 5l10 10M5 15L15 5' class='color'/%3E%3C/svg%3E")}.icon-clear-enabled:hover{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='20' height='20'%3E%3Cstyle%3E.color%7Bstroke:%230056B3;fill:%230056B3%7D%3C/style%3E%3Cpath stroke-width='3' d='M5 5l10 10M5 15L15 5' class='color'/%3E%3C/svg%3E")}.icon-clear-disabled{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='20' height='20'%3E%3Cstyle%3E.color%7Bstroke:%23C0C0C0;fill:%23C0C0C0%7D%3C/style%3E%3Cpath stroke-width='3' d='M5 5l10 10M5 15L15 5' class='color'/%3E%3C/svg%3E")}.icon-link-size{width:24px;height:24px;top:2px}.icon-link-enabled{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='22' height='20' viewBox='0 0 16 16'%3E%3Cpath fill='%23007BFF' fill-rule='evenodd' stroke='%23007BFF' d='M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z'/%3E%3C/svg%3E")}.icon-link-enabled:hover{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='22' height='20' viewBox='0 0 16 16'%3E%3Cpath fill='%230056B3' fill-rule='evenodd' stroke='%230056B3' d='M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z'/%3E%3C/svg%3E")}.icon-link-disabled{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='22' height='20' viewBox='0 0 16 16'%3E%3Cpath fill='%23C0C0C0' fill-rule='evenodd' stroke='%23C0C0C0' d='M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z'/%3E%3C/svg%3E")}.icon-checked-ok-size{width:24px;height:24px;top:-3px}.icon-checked-ok-enabled{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='24' height='24' viewBox='0 0 14 16'%3E%3Cpath stroke='%23007BFF' fill='%23007BFF' fill-rule='evenodd' d='M12 5l-8 8-4-4 1.5-1.5L4 10l6.5-6.5L12 5z'/%3E%3C/svg%3E")}.icon-checked-ok-enabled:hover{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='24' height='24' viewBox='0 0 14 16'%3E%3Cpath stroke='%230056B3' fill='%230056B3' fill-rule='evenodd' d='M12 5l-8 8-4-4 1.5-1.5L4 10l6.5-6.5L12 5z'/%3E%3C/svg%3E")}.icon-checked-ok-disabled{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='24' height='24' viewBox='0 0 14 16'%3E%3Cpath stroke='%23C0C0C0' fill='%23C0C0C0' fill-rule='evenodd' d='M12 5l-8 8-4-4 1.5-1.5L4 10l6.5-6.5L12 5z'/%3E%3C/svg%3E")}.icon-hourglass-size{width:24px;height:24px}.icon-hourglass{background-image:url("data:image/svg+xml,%3Csvg data-name='Layer 1' xmlns='http://www.w3.org/2000/svg' width='24' height='24' viewBox='0 0 64 64'%3E%3Cpath stroke='%23007BFF' fill='%23007BFF' d='M25.9 35.34c-5.26 2.43-8.57 7.83-9.46 12.95a6.49 6.49 0 01-2.64 4.37 4 4 0 00-1.8 3.65A4.12 4.12 0 0016.18 60h31.64A4.12 4.12 0 0052 56.31a4 4 0 00-1.78-3.65 6.63 6.63 0 01-2.66-4.46c-.9-5-4.15-10.32-9.28-12.78a3.85 3.85 0 01-1.82-1.62 3.73 3.73 0 011.65-5.15c5.26-2.43 8.57-7.83 9.46-12.95a6.49 6.49 0 012.64-4.37A4 4 0 0052 7.69 4.12 4.12 0 0047.82 4H16.18A4.12 4.12 0 0012 7.69a4 4 0 001.78 3.65 6.63 6.63 0 012.66 4.46c.9 5 4.15 10.32 9.28 12.78a3.85 3.85 0 011.82 1.62 3.73 3.73 0 01-1.64 5.14zM25.64 18a3.16 3.16 0 01-3.06-2.28c-.1-.35-.17-.69-.23-1a13.88 13.88 0 00-.89-3 1.18 1.18 0 011.1-1.72h18.88a1.18 1.18 0 011.1 1.64 13.89 13.89 0 00-.89 3c-.06.34-.14.68-.23 1A3.16 3.16 0 0138.36 18zm2.78 22.79A9.55 9.55 0 0031.93 38h.14a9.55 9.55 0 003.51 2.79 10.87 10.87 0 015 5.32A1.31 1.31 0 0139.43 48H24.57a1.31 1.31 0 01-1.18-1.89 10.87 10.87 0 015.03-5.32z'/%3E%3C/svg%3E")}.icon-16{width:16px;height:16px;top:4.8px}.icon-plus-square{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 448 512'%3E%3Cpath d='M400 32H48C21.5 32 0 53.5 0 80v352c0 26.5 21.5 48 48 48h352c26.5 0 48-21.5 48-48V80c0-26.5-21.5-48-48-48zm-32 252c0 6.6-5.4 12-12 12h-92v92c0 6.6-5.4 12-12 12h-56c-6.6 0-12-5.4-12-12v-92H92c-6.6 0-12-5.4-12-12v-56c0-6.6 5.4-12 12-12h92v-92c0-6.6 5.4-12 12-12h56c6.6 0 12 5.4 12 12v92h92c6.6 0 12 5.4 12 12v56z' fill='%23007bff' stroke='%23007bff'/%3E%3C/svg%3E")}.icon-minus-square{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 448 512'%3E%3Cpath d='M400 32H48C21.5 32 0 53.5 0 80v352c0 26.5 21.5 48 48 48h352c26.5 0 48-21.5 48-48V80c0-26.5-21.5-48-48-48zM92 296c-6.6 0-12-5.4-12-12v-56c0-6.6 5.4-12 12-12h264c6.6 0 12 5.4 12 12v56c0 6.6-5.4 12-12 12H92z' fill='%23007bff' stroke='%23007bff'/%3E%3C/svg%3E")}div.sbs-link>a{border:0}div.sbs-link>a:hover{border:0}div.sbs-link>a>img{position:relative;top:-1px;margin-right:2px}.border-none{border:0!important}span.font-80-percents{font-size:80%}.bg-nested{background-color:#fafafa}img#calcScroll{position:absolute;top:10px;left:10px;height:32px;width:32px;right:7px}.inner-step-level-1{border:1px solid rgba(0,0,0,.25);background-color:rgba(0,0,0,.01)}.inner-step-level-1>div:first-child{background-color:rgba(0,0,0,.06);border-bottom:1px solid rgba(0,0,0,.25)}.inner-step-level-2{border:1px solid rgba(0,0,0,.5);background-color:rgba(0,0,0,.02)}.inner-step-level-2>div:first-child{background-color:rgba(0,0,0,.09);border-bottom:1px solid rgba(0,0,0,.5)}.inner-step-level-3{border:1px solid rgba(0,0,0,.74);background-color:rgba(0,0,0,.03)}.inner-step-level-3>div:first-child{background-color:rgba(0,0,0,.12);border-bottom:1px solid rgba(0,0,0,.75)}.vertical-align-middle{vertical-align:middle}input[type="text"].inline-block{display:inline-block}.w-75px{width:75px!important}.gooey{position:relative;top:50%;left:50%;width:142px;height:40px;margin:0 0 0 -71px;background:#fff;filter:contrast(20)}.gooey .dot{position:absolute;width:16px;height:16px;top:0;left:15px;background:#000;border-radius:50%;transform:translateX(0);animation:dot 2.8s infinite}.gooey .dots{transform:translateX(0);margin-top:12px;margin-left:31px;animation:dots 2.8s infinite}.gooey .dots span{display:block;float:left;width:16px;height:16px;margin-left:16px;background:#000;border-radius:50%}@-moz-keyframes dot{50%{transform:translateX(96px)}}@-webkit-keyframes dot{50%{transform:translateX(96px)}}@-o-keyframes dot{50%{transform:translateX(96px);}}@keyframes dot{50%{transform:translateX(96px)}}@-moz-keyframes dots{50%{transform:translateX(-31px)}}@-webkit-keyframes dots{50%{transform:translateX(-31px)}}@-o-keyframes dots{50%{transform:translateX(-31px);}}@keyframes dots{50%{transform:translateX(-31px)}}.spinner{width:108px;height:60px;text-align:center;font-size:10px}.spinner>div{background-color:#007bff;height:100%;width:6px;display:inline-block;margin:0 3px 0 0;-webkit-animation:sk-stretchdelay 1.7s infinite ease-in-out;animation:sk-stretchdelay 1.7s infinite ease-in-out}.spinner .rect2{-webkit-animation-delay:-1.6s;animation-delay:-1.6s}.spinner .rect3{-webkit-animation-delay:-1.5s;animation-delay:-1.5s}.spinner .rect4{-webkit-animation-delay:-1.4s;animation-delay:-1.4s}.spinner .rect5{-webkit-animation-delay:-1.3s;animation-delay:-1.3s}.spinner .rect6{-webkit-animation-delay:-1.2s;animation-delay:-1.2s}.spinner .rect7{-webkit-animation-delay:-1.1s;animation-delay:-1.1s}.spinner .rect8{-webkit-animation-delay:-1s;animation-delay:-1s}.spinner .rect9{-webkit-animation-delay:-.9s;animation-delay:-.9s}.spinner .rect10{-webkit-animation-delay:-.8s;animation-delay:-.8s}.spinner .rect11{-webkit-animation-delay:-.7s;animation-delay:-.7s}.spinner .rect12{-webkit-animation-delay:-.6s;animation-delay:-.6s}.spinner-small{width:45px;height:30px;text-align:center;font-size:10px}.spinner-small>div{background-color:#007bff;height:100%;width:3px;display:inline-block;margin:0 3px 0 0;-webkit-animation:sk-stretchdelay 1.7s infinite ease-in-out;animation:sk-stretchdelay 1.7s infinite ease-in-out}.spinner-small .rect2{-webkit-animation-delay:-1.6s;animation-delay:-1.6s}.spinner-small .rect3{-webkit-animation-delay:-1.5s;animation-delay:-1.5s}.spinner-small .rect4{-webkit-animation-delay:-1.4s;animation-delay:-1.4s}.spinner-small .rect5{-webkit-animation-delay:-1.3s;animation-delay:-1.3s}.spinner-small .rect6{-webkit-animation-delay:-1.2s;animation-delay:-1.2s}.spinner-small .rect7{-webkit-animation-delay:-1.1s;animation-delay:-1.1s}.spinner-small .rect8{-webkit-animation-delay:-1s;animation-delay:-1s;margin-right:0}@-webkit-keyframes sk-stretchdelay{0%,40%,100%{-webkit-transform:scaleY(.4)}20%{-webkit-transform:scaleY(1)}}@keyframes sk-stretchdelay{0%,40%,100%{transform:scaleY(.4);-webkit-transform:scaleY(.4)}20%{transform:scaleY(1);-webkit-transform:scaleY(1)}}input[type='button'].m4uExec{background:#007bff;color:#fff;border:1px transparent;text-align:center;padding:4px 12px;border-radius:4px}input[type='button'].m4uExec:hover{cursor:pointer;background:#0069d9}input[type='text']{border:1px solid #c4c4c4;border-radius:4px}a.m4uLink{color:#087d80;text-decoration:none;line-height:1px}a.m4uLink:hover{text-decoration:underline}a#m4uHeaderLink{color:#fff;text-decoration:none}a#m4uHeaderLink:hover{text-decoration:none}div#m4uWidget{border-radius:5px;overflow:hidden;text-align:left}div#m4uWidgetName{background-color:#007bff;color:#fff;font-size:100%;border-top-left-radius:4px;border-top-right-radius:4px;padding:3px 0 3px 20px}div#m4uWidgetTask{padding:20px 20px 10px 20px;border-left:1px solid #c4c4c4;border-right:1px solid #c4c4c4}div.m4uWidgetResult{background-color:#f8f9fa;overflow-x:auto;-webkit-overflow-scrolling:touch}div.calculator-exception{padding-top:15px;padding-left:15px;border:1px solid #c4c4c4;border-radius:5px}div#m4uWidgetBottom{padding:10px 20px 10px 20px;font-size:70%;background-color:#f1f1f1;border:1px solid #c4c4c4;border-bottom-right-radius:5px;border-bottom-left-radius:5px}div#m4uWidgetResultError{padding:10px 20px 10px 20px;display:none;border-top:1px solid #c4c4c4;border-right:1px solid #c4c4c4;border-left:1px solid #c4c4c4}span.m4uError{font-size:70%;color:#f00;background-color:#ffc864;padding:5px;border:1px solid #f26d3a;border-radius:5px}span.m4uVar,span.m4uNum{font-size:90%;font-style:italic}span.m4uVar>sup{font-style:normal;margin-left:2px;font-size:70%}input[type="text"].m4uFunc{width:100%;height:30px;padding-top:0;padding-bottom:0;text-align:center}span.m4uNum{font-style:normal}input[type="text"].m4uPoly{width:48px;height:17px}select.m4uSelect{border:1px solid #c4c4c4;border-radius:4px;font-size:90%;width:auto;height:25px;padding:0 25px 5px 5px}select.m4uSelect:hover{cursor:pointer}label.m4uText,div.m4uText,span.m4uText{font-size:90%;font-style:normal;margin-right:5px}div.m4uPreviewSimple{height:170px;margin-top:10px;padding-top:0;padding-bottom:0;border:1px solid #c4c4c4;border-radius:5px;margin-bottom:1.05rem;background-color:#fff;text-align:center;overflow-x:auto;-webkit-overflow-scrolling:touch}div.m4uFormulaImage{line-height:168px}div.m4uFormulaImage>img{padding-top:20px;padding-left:10px;padding-right:10px}img.m4uLoading{position:absolute;top:10px;left:30px}div.loading{line-height:167px}div.m4uPreviewSimpleMathInputRulesSimple{height:80px}div.m4uFormulaImageMathInputRulesSimple{line-height:61px}div.m4uPreviewSimpleCompleteSquare{height:95px}div.m4uFormulaImageCompleteSquare{line-height:71px}div.m4uPreviewSimpleArclenCartesian{height:90px}div.m4uFormulaImageArclenCartesian{line-height:71px}div.m4uPreviewSimpleSeriesFourier{height:125px}div.m4uFormulaImageSeriesFourier{line-height:104px}div.m4uPreviewSimpleSeriesConvergence{height:90px}div.m4uFormulaImageSeriesConvergence{line-height:69px}div.m4uPreviewSimpleHorizontalAsymptotes{height:90px}div.m4uFormulaImageHorizontalAsymptotes{line-height:71px}div.m4uPreviewSimpleVerticalAsymptotes{height:90px}div.m4uFormulaImageVerticalAsymptotes{line-height:71px}div.m4uPreviewSimpleObliqueAsymptotes{height:90px}div.m4uFormulaImageObliqueAsymptotes{line-height:71px}div.m4uPreviewSimpleTangent{height:80px}div.m4uFormulaImageTangent{line-height:61px}div.m4uPreviewSimpleNormal{height:80px}div.m4uFormulaImageNormal{line-height:61px}div.m4uPreviewSimpleLinearEquation{height:80px}div.m4uFormulaImageLinearEquation{line-height:61px}div.m4uPreviewSimpleQuadraticEquation{height:80px}div.m4uFormulaImageQuadraticEquation{line-height:61px}div.m4uPreviewSimpleCubicEquation{height:80px}div.m4uFormulaImageCubicEquation{line-height:61px}div.m4uPreviewSimpleNthPowerEquation{height:80px}div.m4uFormulaImageNthPowerEquation{line-height:61px}div.m4uPreviewSimpleTrigEquation{height:80px}div.m4uFormulaImageTrigEquation{line-height:61px}div.m4uPreviewSimpleExponentialEquation{height:90px}div.m4uFormulaImageExponentialEquation{line-height:71px}div.m4uPreviewSimpleLogarithmicEquation{height:90px}div.m4uFormulaImageLogarithmicEquation{line-height:71px}div.bg-input-success{background-color:#fff}div.bg-input-error{background-color:#fee}label.m4uLimText{font-size:120%}@media all and (max-width:992px){label.m4uLimText{font-size:120%}}input[type="text"].m4uVal{width:50px;height:30px}input[type="text"].m4uVal:focus{color:#495057;background-color:#fff;border-color:#80bdff;outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.border-196{border:1px solid #c4c4c4}.calc-icon{border:0;background-color:transparent;cursor:pointer;font-size:80%;color:#007bff;padding:0;height:20px;vertical-align:middle}.calc-icon:focus{outline:0;text-decoration:none}.calc-icon:hover{text-decoration:none}span.calc-icon-text{position:relative;top:-8px}span.calc-icon-text-disabled{color:#c0c0c0}@media all and (max-width:360px){span.calc-icon-text,span.calc-icon-text-disabled{display:none}button.icon-clear-button-mr{margin-right:13px}}#h2Results~p{font-size:80%}div.m4uText{display:none}div.top-0{top:0}div#formulaImageSimple{padding-left:10px}div.border-196{border:0}@media all and (max-width:500px){div#m4uWidgetName,div#m4uWidgetTask,div#m4uWidgetBottom{padding-left:10px;padding-right:10px}}div.square-perimeter>select{width:80%;max-width:250px}@media all and (max-width:290px){div.square-perimeter>select{width:100%}}.w-50px{width:50px!important}.w-70px{width:70px!important}.popover-link-title{font-size:90%}#linkready{font-size:90%;margin-bottom:7px}#popoverCopy{margin-left:10px;border:0}.underline-text{text-decoration:underline}.formula-common{display:inline-block;background-color:transparent;background-repeat:no-repeat;position:relative}.general-equation-size{width:248px;height:17px;top:5px}.general-equation{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='248' height='17' viewBox='0 -694 13686.2 899' xmlns:xlink='http://www.w3.org/1999/xlink'%3E%3Cdefs%3E%3Cpath id='a' d='M33 157q0 101 76 192t171 92q51 0 90-49 16 30 46 30 13 0 23-8t10-20q0-13-37-160T374 68q0-25 7-33t21-9q9 1 20 9 21 20 41 96 6 20 10 21 2 1 10 1h4q19 0 19-9 0-6-5-27t-20-54-32-50Q436 0 417-8q-8-2-24-2-34 0-57 15t-30 31l-6 15q-1 1-4-1l-4-4q-59-56-120-56-55 0-97 40T33 157zm318 171q0 6-5 22t-23 35-46 20q-35 0-67-31t-50-81q-29-79-41-164v-11q0-8-1-12 0-45 18-62t43-18q38 0 75 33t44 51q2 4 27 107t26 111z'/%3E%3Cpath id='b' d='M78 250q0 24 17 42t43 18q24 0 42-16t19-43q0-25-17-43t-43-18-43 17-18 43z'/%3E%3Cpath id='c' d='M52 289q7 42 54 97t116 56q35 0 64-18t43-45q42 63 101 63 37 0 64-22t28-59q0-29-14-47t-27-22-23-4q-19 0-31 11t-12 29q0 46 50 63-11 13-40 13-13 0-19-2-38-16-56-66-60-221-60-258 0-28 16-40t35-12q37 0 73 33t49 81q3 10 6 11t16 2h4q15 0 15-8 0-1-2-11-16-57-62-101T333-11q-70 0-106 63-41-62-94-62h-6q-49 0-70 26T35 71q0 32 19 52t45 20q43 0 43-42 0-20-12-35t-23-20-13-5l-3-1q0-1 6-4t16-7 19-3q36 0 62 45 9 16 23 68t28 108 16 66q5 27 5 39 0 28-15 40t-34 12q-40 0-75-32t-49-82q-2-9-5-10t-16-2H58q-6 6-6 11z'/%3E%3Cpath id='d' d='M56 237v13l14 20h299v150l1 150q10 13 19 13 13 0 20-15V270h298q15-8 15-20t-15-20H409V-68q-8-14-18-14h-4q-12 0-18 14v298H70q-14 7-14 20z'/%3E%3Cpath id='e' d='M73 647q0 10 4 23t12 13q1 0 72 5t73 6q12 0 12-9t-34-143q-8-34-17-70t-15-54l-4-19q0-3 6 3 49 40 101 40 62 0 100-46t39-116q0-111-79-201T173-11q-50 0-91 38T40 150v9q0 21 8 58t49 197q50 197 50 209t-38 14H83q-3 0-7 3t-3 7zm263-322v6q0 74-61 74-17 0-35-8t-33-21-26-24-18-22l-6-8-21-86q-22-86-22-122 0-48 24-72 16-16 40-16 33 0 67 32 25 23 40 56t33 105q18 72 18 106z'/%3E%3Cpath id='f' d='M21 287q0 14 15 48t48 71 74 36q41 0 66-23t26-64q-2-19-3-21 0-3-16-46t-33-97-16-86q0-43 14-60t42-18q23 0 43 11t31 23 27 33q0 1 5 20t14 59 19 74q38 150 42 157 13 27 43 27 13 0 21-7t11-12 2-9q0-13-49-210T391-23q-28-83-97-132t-138-50q-45 0-79 22t-34 66q0 22 7 37t19 22 20 10 17 3q44 0 44-42 0-20-12-35t-23-20-13-5l-3-1q2-5 19-12t34-7h8q17 0 26 2 33 9 61 38t43 62 23 56 8 30l-6-4q-6-4-19-11T270-6q-20-5-39-5-46 0-81 22t-46 71q-1 7-1 31 0 57 35 149t35 117v14q0 3-4 7t-11 4h-4q-23 0-42-19t-30-41-17-42-8-22q-2-2-16-2H27q-6 6-6 9z'/%3E%3Cpath id='g' d='M56 347q0 13 14 20h637q15-8 15-20 0-11-14-19l-318-1H72q-16 5-16 20zm0-194q0 15 16 20h636q14-10 14-20 0-13-15-20H70q-14 7-14 20z'/%3E%3Cpath id='h' d='M34 159q0 109 86 196t186 87q56 0 88-24t33-63q0-29-19-49t-48-21q-19 0-30 10t-11 30 11 34 22 21 14 6h1q0 2-6 6t-21 8-34 4q-30 0-57-14-21-9-43-31-44-44-64-124t-21-116q0-46 26-69 22-24 58-24h4q112 0 185 85 9 10 12 10 4 0 13-9t10-14-9-15-29-28-45-30-64-25-80-11q-75 0-121 48T34 159z'/%3E%3Cpath id='i' d='M78 35v25l16 43 43 18q28 0 50-25t23-88q0-35-9-68t-21-57-26-41-24-27-13-9q-4 0-13 9t-9 13q0 4 11 16t25 30 26 50 16 73V9l-1-1q-2-1-5-2t-6-3-9-2-12-1q-27 0-44 17z'/%3E%3Cpath id='j' d='M84 250q0 122 82 200t194 89h17q16 0 42 1t50 0h99q15-8 15-20 0-9-13-19l-104-1q-111-1-137-6-49-12-87-36t-59-49-36-55-18-48-5-34v-2h444q15-8 15-20t-15-20H124v-2q0-21 10-51t33-65 64-64 97-41q27-6 138-7h104q13-10 13-20 0-12-15-20H446q-18 0-29-1-155 0-245 86-88 82-88 205z'/%3E%3Cpath id='k' d='M39-1Q29 9 29 12q0 11 31 65t159 260l191 311h-46q-103 0-154-20-42-16-68-40t-33-43-12-36-9-19q-3-1-8-1-8 0-19 14l9 85q2 19 5 40t4 34 2 13q3 2 7 6 2 2 253 2h251q12-10 12-17 0-4-192-318L221 37q0-2 80-2 105 0 145 13 58 20 97 63t54 101q5 27 20 27 7 0 12-5t6-11q0-8-14-110T604 8l-7-7q-2-2-280-2H39zm109 638l18 11h-54v-16q-1-3-2-10t-2-10q0-4 2-4t6 4 13 11 19 14zm404 9q0 2-48 2-52 0-54-5-2-4-184-300T77 37q0-2 51-2h51l187 304 186 307zm20-611q9 54 9 62l-20-20q-19-18-35-29l-18-11 31-2h33z'/%3E%3C/defs%3E%3Cg data-mml-node='math' stroke='currentColor' fill='currentColor' stroke-width='0'%3E%3Cuse xlink:href='%23a' data-mml-node='mi' transform='scale(1 -1)'/%3E%3Cuse xlink:href='%23b' data-mml-node='mo' transform='matrix(1 0 0 -1 751.2 0)'/%3E%3Cuse xlink:href='%23c' data-mml-node='mi' transform='matrix(1 0 0 -1 1251.4 0)'/%3E%3Cuse xlink:href='%23d' data-mml-node='mo' transform='matrix(1 0 0 -1 2045.7 0)'/%3E%3Cuse xlink:href='%23e' data-mml-node='mi' transform='matrix(1 0 0 -1 3045.9 0)'/%3E%3Cuse xlink:href='%23b' data-mml-node='mo' transform='matrix(1 0 0 -1 3697.1 0)'/%3E%3Cuse xlink:href='%23f' data-mml-node='mi' transform='matrix(1 0 0 -1 4197.3 0)'/%3E%3Cuse xlink:href='%23g' data-mml-node='mo' transform='matrix(1 0 0 -1 4965.1 0)'/%3E%3Cuse xlink:href='%23h' data-mml-node='mi' transform='matrix(1 0 0 -1 6020.9 0)'/%3E%3Cuse xlink:href='%23a' data-mml-node='mi' transform='matrix(1 0 0 -1 7565 0)'/%3E%3Cuse xlink:href='%23i' data-mml-node='mo' transform='matrix(1 0 0 -1 8094 0)'/%3E%3Cuse xlink:href='%23e' data-mml-node='mi' transform='matrix(1 0 0 -1 8538.7 0)'/%3E%3Cuse xlink:href='%23i' data-mml-node='mo' transform='matrix(1 0 0 -1 8967.7 0)'/%3E%3Cuse xlink:href='%23h' data-mml-node='mi' transform='matrix(1 0 0 -1 9412.3 0)'/%3E%3Cuse xlink:href='%23i' data-mml-node='mo' transform='matrix(1 0 0 -1 9845.3 0)'/%3E%3Cuse xlink:href='%23c' data-mml-node='mi' transform='matrix(1 0 0 -1 10290 0)'/%3E%3Cuse xlink:href='%23i' data-mml-node='mo' transform='matrix(1 0 0 -1 10862 0)'/%3E%3Cuse xlink:href='%23f' data-mml-node='mi' transform='matrix(1 0 0 -1 11306.7 0)'/%3E%3Cuse xlink:href='%23j' data-mml-node='mo' transform='matrix(1 0 0 -1 12074.4 0)'/%3E%3Cg data-mml-node='TeXAtom'%3E%3Cuse xlink:href='%23k' data-mml-node='mi' transform='matrix(1 0 0 -1 13019.2 0)'/%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.c-equal-zero-size{width:42px;height:14px;top:1px}.c-equal-zero{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='42' height='14' viewBox='0 -666 2266.6 748' xmlns:xlink='http://www.w3.org/1999/xlink'%3E%3Cdefs%3E%3Cpath id='a' d='M34 159q0 109 86 196t186 87q56 0 88-24t33-63q0-29-19-49t-48-21q-19 0-30 10t-11 30 11 34 22 21 14 6h1q0 2-6 6t-21 8-34 4q-30 0-57-14-21-9-43-31-44-44-64-124t-21-116q0-46 26-69 22-24 58-24h4q112 0 185 85 9 10 12 10 4 0 13-9t10-14-9-15-29-28-45-30-64-25-80-11q-75 0-121 48T34 159z'/%3E%3Cpath id='b' d='M56 347q0 13 14 20h637q15-8 15-20 0-11-14-19l-318-1H72q-16 5-16 20zm0-194q0 15 16 20h636q14-10 14-20 0-13-15-20H70q-14 7-14 20z'/%3E%3Cpath id='c' d='M96 585q56 81 153 81 48 0 96-26t78-92q37-83 37-228 0-155-43-237-20-42-55-67t-61-31-51-7q-26 0-52 6t-61 32-55 67q-43 82-43 237 0 174 57 265zm225 12q-30 32-71 32-42 0-72-32-25-26-33-72t-8-192q0-158 8-208t36-79q28-30 69-30 40 0 68 30 29 30 36 84t8 203q0 145-8 191t-33 73z'/%3E%3C/defs%3E%3Cg data-mml-node='math' stroke='currentColor' fill='currentColor' stroke-width='0'%3E%3Cuse xlink:href='%23a' data-mml-node='mi' transform='scale(1 -1)'/%3E%3Cuse xlink:href='%23b' data-mml-node='mo' transform='matrix(1 0 0 -1 710.8 0)'/%3E%3Cuse xlink:href='%23c' data-mml-node='mn' transform='matrix(1 0 0 -1 1766.6 0)'/%3E%3C/g%3E%3C/svg%3E")}.a-size{width:10px;height:9px}.a{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='10' height='9' viewBox='0 -441 529 451' xmlns:xlink='http://www.w3.org/1999/xlink'%3E%3Cdefs%3E%3Cpath id='a' d='M33 157q0 101 76 192t171 92q51 0 90-49 16 30 46 30 13 0 23-8t10-20q0-13-37-160T374 68q0-25 7-33t21-9q9 1 20 9 21 20 41 96 6 20 10 21 2 1 10 1h4q19 0 19-9 0-6-5-27t-20-54-32-50Q436 0 417-8q-8-2-24-2-34 0-57 15t-30 31l-6 15q-1 1-4-1l-4-4q-59-56-120-56-55 0-97 40T33 157zm318 171q0 6-5 22t-23 35-46 20q-35 0-67-31t-50-81q-29-79-41-164v-11q0-8-1-12 0-45 18-62t43-18q38 0 75 33t44 51q2 4 27 107t26 111z'/%3E%3C/defs%3E%3Cg data-mml-node='math' stroke='currentColor' fill='currentColor' stroke-width='0'%3E%3Cuse xlink:href='%23a' data-mml-node='mi' transform='scale(1 -1)'/%3E%3C/g%3E%3C/svg%3E")}.b-size{width:8px;height:13px}.b{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='8' height='13' viewBox='0 -694 429 705' xmlns:xlink='http://www.w3.org/1999/xlink'%3E%3Cdefs%3E%3Cpath id='a' d='M73 647q0 10 4 23t12 13q1 0 72 5t73 6q12 0 12-9t-34-143q-8-34-17-70t-15-54l-4-19q0-3 6 3 49 40 101 40 62 0 100-46t39-116q0-111-79-201T173-11q-50 0-91 38T40 150v9q0 21 8 58t49 197q50 197 50 209t-38 14H83q-3 0-7 3t-3 7zm263-322v6q0 74-61 74-17 0-35-8t-33-21-26-24-18-22l-6-8-21-86q-22-86-22-122 0-48 24-72 16-16 40-16 33 0 67 32 25 23 40 56t33 105q18 72 18 106z'/%3E%3C/defs%3E%3Cg data-mml-node='math' stroke='currentColor' fill='currentColor' stroke-width='0'%3E%3Cuse xlink:href='%23a' data-mml-node='mi' transform='scale(1 -1)'/%3E%3C/g%3E%3C/svg%3E")}.example-original-equation-size{width:12.71ex;height:1.993ex}.example-original-equation{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='12.71ex' height='1.993ex' role='img' focusable='false' viewBox='0 -676 5618 881' style='vertical-align: -0.464ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(1000, 0)'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1794.2, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(2794.4, 0)'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(3294.4, 0)'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4062.2, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(5118, 0)'%3E%3Cpath data-c='35' d='M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-auxiliary-equation-size{width:12.71ex;height:1.993ex}.example-auxiliary-equation{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='12.71ex' height='1.993ex' role='img' focusable='false' viewBox='0 -676 5618 881' style='vertical-align: -0.464ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(1000, 0)'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1794.2, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(2794.4, 0)'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(3294.4, 0)'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4062.2, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(5118, 0)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-particular-solution-x0-and-y0-size{width:19.732ex;height:5.43ex}.example-particular-solution-x0-and-y0{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='19.732ex' height='5.43ex' role='img' focusable='false' viewBox='0 -1450 8721.7 2400' style='vertical-align: -2.149ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mrow'%3E%3Cg data-mml-node='mo'%3E%3Cpath data-c='7B' d='M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mtable' transform='translate(750, 0)'%3E%3Cg data-mml-node='mtr' transform='translate(0, 700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1253.3, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(2309.1, 0)'%3E%3Cpath data-c='63' d='M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2964.3, 0)'%3E%3Cpath data-c='22C5' d='M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='msub' transform='translate(3464.6, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4717.9, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(5773.7, 0)'%3E%3Cpath data-c='35' d='M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(6495.9, 0)'%3E%3Cpath data-c='22C5' d='M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='msub' transform='translate(6996.1, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mtr' transform='translate(0, -700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(490, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1171.3, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(2227.1, 0)'%3E%3Cpath data-c='63' d='M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2882.3, 0)'%3E%3Cpath data-c='22C5' d='M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='msub' transform='translate(3382.6, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4635.9, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(5691.7, 0)'%3E%3Cpath data-c='35' d='M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(6413.9, 0)'%3E%3Cpath data-c='22C5' d='M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='msub' transform='translate(6914.1, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(8721.7, 0)'%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-original-fraction-size{position:relative;top:13px;width:3.258ex;height:4.661ex}.example-original-fraction{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='3.258ex' height='4.661ex' role='img' focusable='false' viewBox='0 -1352 1440 2060' style='vertical-align: -1.602ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mfrac'%3E%3Cg data-mml-node='mn' transform='translate(220, 676)'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(470, -686)'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3Crect width='1200' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-continued-fraction-size{width:19.374ex;height:6.524ex}.example-continued-fraction{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='19.374ex' height='6.524ex' role='img' focusable='false' viewBox='0 -1352 8563.3 2883.5' style='vertical-align: -3.465ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mfrac'%3E%3Cg data-mml-node='mn' transform='translate(220, 676)'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(470, -686)'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3Crect width='1200' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1717.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(2773.6, 0)'%3E%3Cpath data-c='39' d='M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(3495.8, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mfrac' transform='translate(4496, 0)'%3E%3Cg data-mml-node='mn' transform='translate(1783.6, 676)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mrow' transform='translate(220, -824.9)'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(722.2, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mfrac' transform='translate(1722.4, 0)'%3E%3Cg data-mml-node='mn' transform='translate(775.6, 394) scale(0.707)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mrow' transform='translate(220, -451.6) scale(0.707)'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(500, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mfrac' transform='translate(1278, 0)'%3E%3Cg data-mml-node='mn' transform='translate(220, 394) scale(0.707)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(220, -345) scale(0.707)'%3E%3Cpath data-c='33' d='M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z'%3E%3C/path%3E%3C/g%3E%3Crect width='553.6' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3C/g%3E%3Crect width='1664.8' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3C/g%3E%3Crect width='3827.3' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-continued-cross-last-fraction-size{position:relative;top:13px;width:2.127ex;height:4.638ex}.example-continued-cross-last-fraction{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='2.127ex' height='4.638ex' role='img' focusable='false' viewBox='0 -1342 940 2050' style='vertical-align: -1.602ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mfrac'%3E%3Cg data-mml-node='mn' transform='translate(220, 676)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(220, -686)'%3E%3Cpath data-c='33' d='M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z'%3E%3C/path%3E%3C/g%3E%3Crect width='700' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-final-continued-fraction-size{width:18.904ex;height:5.814ex}.example-final-continued-fraction{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='18.904ex' height='5.814ex' role='img' focusable='false' viewBox='0 -1342 8355.7 2569.9' style='vertical-align: -2.778ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='39' d='M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(722.2, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mfrac' transform='translate(1722.4, 0)'%3E%3Cg data-mml-node='mn' transform='translate(1679.8, 676)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mrow' transform='translate(220, -824.9)'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(722.2, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mfrac' transform='translate(1722.4, 0)'%3E%3Cg data-mml-node='mn' transform='translate(671.8, 394) scale(0.707)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mrow' transform='translate(220, -345) scale(0.707)'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(500, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(1278, 0)'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Crect width='1457.2' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3C/g%3E%3Crect width='3619.7' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(5859.9, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mfrac' transform='translate(6915.7, 0)'%3E%3Cg data-mml-node='mn' transform='translate(220, 676)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3Cpath data-c='39' d='M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(470, -686)'%3E%3Cpath data-c='32' d='M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z'%3E%3C/path%3E%3C/g%3E%3Crect width='1200' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-final-continued-fraction-plusminus-size{width:11.238ex;height:4.928ex}.example-final-continued-fraction-plusminus{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='11.238ex' height='4.928ex' role='img' focusable='false' viewBox='0 -1342 4967.1 2178' style='vertical-align: -1.891ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mfrac'%3E%3Cg data-mml-node='msub' transform='translate(261, 676)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(490, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='msub' transform='translate(220, -686)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Crect width='1175.6' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1693.3, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mfrac' transform='translate(2749.1, 0)'%3E%3Cg data-mml-node='mrow' transform='translate(220, 676)'%3E%3Cg data-mml-node='mo'%3E%3Cpath data-c='B1' d='M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(778, 0)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3Cpath data-c='39' d='M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mrow' transform='translate(470, -686)'%3E%3Cg data-mml-node='mo'%3E%3Cpath data-c='B1' d='M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(778, 0)'%3E%3Cpath data-c='32' d='M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Crect width='1978' height='60' x='120' y='220'%3E%3C/rect%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-particular-solution-of-the-auxiliary-equation-size{width:10.758ex;height:5.43ex}.example-particular-solution-of-the-auxiliary-equation{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='10.758ex' height='5.43ex' role='img' focusable='false' viewBox='0 -1450 4755.1 2400' style='vertical-align: -2.149ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mrow'%3E%3Cg data-mml-node='mo'%3E%3Cpath data-c='7B' d='M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mtable' transform='translate(750, 0)'%3E%3Cg data-mml-node='mtr' transform='translate(0, 700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1253.3, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(2309.1, 0)'%3E%3Cpath data-c='32' d='M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mtr' transform='translate(0, -700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(490, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1171.3, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2227.1, 0)'%3E%3Cpath data-c='2212' d='M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(3005.1, 0)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3Cpath data-c='39' d='M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4755.1, 0)'%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-particular-solution-of-the-original-equation-size{width:10.758ex;height:5.43ex}.example-particular-solution-of-the-original-equation{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='10.758ex' height='5.43ex' role='img' focusable='false' viewBox='0 -1450 4755.1 2400' style='vertical-align: -2.149ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mrow'%3E%3Cg data-mml-node='mo'%3E%3Cpath data-c='7B' d='M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mtable' transform='translate(750, 0)'%3E%3Cg data-mml-node='mtr' transform='translate(0, 700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1253.3, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(2309.1, 0)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mtr' transform='translate(0, -700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(490, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1171.3, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2227.1, 0)'%3E%3Cpath data-c='2212' d='M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(3005.1, 0)'%3E%3Cpath data-c='39' d='M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z'%3E%3C/path%3E%3Cpath data-c='35' d='M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4755.1, 0)'%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-general-solution-of-the-original-equation-size{width:22.512ex;height:5.43ex}.example-general-solution-of-the-original-equation{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='22.512ex' height='5.43ex' role='img' focusable='false' viewBox='0 -1450 9950.2 2400' style='vertical-align: -2.149ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mrow'%3E%3Cg data-mml-node='mo'%3E%3Cpath data-c='7B' d='M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mtable' transform='translate(750, 0)'%3E%3Cg data-mml-node='mtr' transform='translate(0, 700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(849.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(1905.6, 0)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(3127.8, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(4128, 0)'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(4628, 0)'%3E%3Cpath data-c='6B' d='M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mtr' transform='translate(0, -700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(767.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1823.6, 0)'%3E%3Cpath data-c='2212' d='M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(2601.6, 0)'%3E%3Cpath data-c='39' d='M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z'%3E%3C/path%3E%3Cpath data-c='35' d='M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(3823.8, 0)'%3E%3Cpath data-c='2212' d='M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(4824, 0)'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(5824, 0)'%3E%3Cpath data-c='6B' d='M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(7095, 0)'%3E%3Cpath data-c='2C' d='M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(7539.7, 0)'%3E%3Cpath data-c='6B' d='M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(8338.4, 0)'%3E%3Cpath data-c='2208' d='M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' data-mjx-texclass='ORD' transform='translate(9283.2, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='5A' d='M39 -1Q29 9 29 12Q29 23 60 77T219 337L410 648H364Q261 648 210 628Q168 612 142 588T109 545T97 509T88 490Q85 489 80 489Q72 489 61 503L70 588Q72 607 75 628T79 662T81 675Q84 677 88 681Q90 683 341 683H592Q604 673 604 666Q604 662 412 348L221 37Q221 35 301 35Q406 35 446 48Q504 68 543 111T597 212Q602 239 617 239Q624 239 629 234T635 223Q635 215 621 113T604 8L597 1Q595 -1 317 -1H39ZM148 637L166 648H112V632Q111 629 110 622T108 612Q108 608 110 608T116 612T129 623T148 637ZM552 646Q552 648 504 648Q452 648 450 643Q448 639 266 343T77 37Q77 35 128 35H179L366 339L552 646ZM572 35Q581 89 581 97L561 77Q542 59 526 48L508 37L539 35H572Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(9950.2, 0)'%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-formulas-for-general-solution-size{width:21.224ex;height:5.43ex}.example-formulas-for-general-solution{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='21.224ex' height='5.43ex' role='img' focusable='false' viewBox='0 -1450 9381.2 2400' style='vertical-align: -2.149ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mrow'%3E%3Cg data-mml-node='mo'%3E%3Cpath data-c='7B' d='M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mtable' transform='translate(750, 0)'%3E%3Cg data-mml-node='mtr' transform='translate(0, 700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(849.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='msub' transform='translate(1905.6, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(572, -150) scale(0.707)'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(3103.3, 0)'%3E%3Cpath data-c='2B' d='M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(4103.6, 0)'%3E%3Cpath data-c='62' d='M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4754.8, 0)'%3E%3Cpath data-c='22C5' d='M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(5255, 0)'%3E%3Cpath data-c='6B' d='M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mtr' transform='translate(0, -700)'%3E%3Cg data-mml-node='mtd'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(767.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='msub' transform='translate(1823.6, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(490, -150) scale(0.707)'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2939.3, 0)'%3E%3Cpath data-c='2212' d='M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(3939.6, 0)'%3E%3Cpath data-c='61' d='M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4690.8, 0)'%3E%3Cpath data-c='22C5' d='M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(5191, 0)'%3E%3Cpath data-c='6B' d='M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(6526, 0)'%3E%3Cpath data-c='2C' d='M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(6970.7, 0)'%3E%3Cpath data-c='6B' d='M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(7769.4, 0)'%3E%3Cpath data-c='2208' d='M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' data-mjx-texclass='ORD' transform='translate(8714.2, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='5A' d='M39 -1Q29 9 29 12Q29 23 60 77T219 337L410 648H364Q261 648 210 628Q168 612 142 588T109 545T97 509T88 490Q85 489 80 489Q72 489 61 503L70 588Q72 607 75 628T79 662T81 675Q84 677 88 681Q90 683 341 683H592Q604 673 604 666Q604 662 412 348L221 37Q221 35 301 35Q406 35 446 48Q504 68 543 111T597 212Q602 239 617 239Q624 239 629 234T635 223Q635 215 621 113T604 8L597 1Q595 -1 317 -1H39ZM148 637L166 648H112V632Q111 629 110 622T108 612Q108 608 110 608T116 612T129 623T148 637ZM552 646Q552 648 504 648Q452 648 450 643Q448 639 266 343T77 37Q77 35 128 35H179L366 339L552 646ZM572 35Q581 89 581 97L561 77Q542 59 526 48L508 37L539 35H572Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(9381.2, 0)'%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-equation-coefficients-size{position:relative;top:3px;width:18.735ex;height:2.009ex}.example-equation-coefficients{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='18.735ex' height='2.009ex' role='img' focusable='false' viewBox='0 -694 8281 888' style='vertical-align: -0.439ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='61' d='M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(806.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(1862.6, 0)'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2862.6, 0)'%3E%3Cpath data-c='2C' d='M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(3307.2, 0)'%3E%3Cpath data-c='62' d='M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4014, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(5069.8, 0)'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(5569.8, 0)'%3E%3Cpath data-c='2C' d='M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(6014.4, 0)'%3E%3Cpath data-c='63' d='M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(6725.2, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(7781, 0)'%3E%3Cpath data-c='35' d='M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-number-zero-size{position:relative;top:2px;width:1.131ex;height:1.557ex}.example-number-zero{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='1.131ex' height='1.557ex' role='img' focusable='false' viewBox='0 -666 500 688' style='vertical-align: -0.05ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-coefficient-c-size{width:.98ex;height:1.025ex}.example-coefficient-c{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='0.98ex' height='1.025ex' role='img' focusable='false' viewBox='0 -442 433 453' style='vertical-align: -0.025ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='63' d='M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-gcd-a-b-ru-size{position:relative;top:5px;width:9.487ex;height:2.262ex}.example-gcd-a-b-ru{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='9.487ex' height='2.262ex' role='img' focusable='false' viewBox='0 -750 4193.3 1000' style='vertical-align: -0.566ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='TeXAtom' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mo'%3E%3Ctext data-variant='normal' transform='matrix(1 0 0 -1 0 0)' font-size='884px' font-family='serif'%3EН%3C/text%3E%3Ctext data-variant='normal' transform='translate(648.5, 0) matrix(1 0 0 -1 0 0)' font-size='884px' font-family='serif'%3EО%3C/text%3E%3Ctext data-variant='normal' transform='translate(1297, 0) matrix(1 0 0 -1 0 0)' font-size='884px' font-family='serif'%3EД%3C/text%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1914.7, 0)'%3E%3Cpath data-c='28' d='M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' data-mjx-texclass='ORD' transform='translate(2303.7, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='61' d='M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2803.7, 0)'%3E%3Cpath data-c='2C' d='M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' data-mjx-texclass='ORD' transform='translate(3248.3, 0)'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='62' d='M307 -11Q234 -11 168 55L158 37Q156 34 153 28T147 17T143 10L138 1L118 0H98V298Q98 599 97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V543Q179 391 180 391L183 394Q186 397 192 401T207 411T228 421T254 431T286 439T323 442Q401 442 461 379T522 216Q522 115 458 52T307 -11ZM182 98Q182 97 187 90T196 79T206 67T218 55T233 44T250 35T271 29T295 26Q330 26 363 46T412 113Q424 148 424 212Q424 287 412 323Q385 405 300 405Q270 405 239 390T188 347L182 339V98Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(3804.3, 0)'%3E%3Cpath data-c='29' d='M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-gcd-a-b-en-size{position:relative;top:5px;width:8.327ex;height:2.262ex}.example-gcd-a-b-en{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='8.327ex' height='2.262ex' role='img' focusable='false' viewBox='0 -750 3680.7 1000' style='vertical-align: -0.566ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='67' d='M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z'%3E%3C/path%3E%3Cpath data-c='63' d='M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z' transform='translate(500, 0)'%3E%3C/path%3E%3Cpath data-c='64' d='M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z' transform='translate(944, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1500, 0)'%3E%3Cpath data-c='2061' d=''%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1500, 0)'%3E%3Cpath data-c='28' d='M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(1889, 0)'%3E%3Cpath data-c='61' d='M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2418, 0)'%3E%3Cpath data-c='2C' d='M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mi' transform='translate(2862.7, 0)'%3E%3Cpath data-c='62' d='M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(3291.7, 0)'%3E%3Cpath data-c='29' d='M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.x0-size{width:18px;height:11px;top:3px}.x0{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='18' height='11' viewBox='0 -442 975.6 607.6' xmlns:xlink='http://www.w3.org/1999/xlink'%3E%3Cdefs%3E%3Cpath id='a' d='M52 289q7 42 54 97t116 56q35 0 64-18t43-45q42 63 101 63 37 0 64-22t28-59q0-29-14-47t-27-22-23-4q-19 0-31 11t-12 29q0 46 50 63-11 13-40 13-13 0-19-2-38-16-56-66-60-221-60-258 0-28 16-40t35-12q37 0 73 33t49 81q3 10 6 11t16 2h4q15 0 15-8 0-1-2-11-16-57-62-101T333-11q-70 0-106 63-41-62-94-62h-6q-49 0-70 26T35 71q0 32 19 52t45 20q43 0 43-42 0-20-12-35t-23-20-13-5l-3-1q0-1 6-4t16-7 19-3q36 0 62 45 9 16 23 68t28 108 16 66q5 27 5 39 0 28-15 40t-34 12q-40 0-75-32t-49-82q-2-9-5-10t-16-2H58q-6 6-6 11z'/%3E%3Cpath id='b' d='M96 585q56 81 153 81 48 0 96-26t78-92q37-83 37-228 0-155-43-237-20-42-55-67t-61-31-51-7q-26 0-52 6t-61 32-55 67q-43 82-43 237 0 174 57 265zm225 12q-30 32-71 32-42 0-72-32-25-26-33-72t-8-192q0-158 8-208t36-79q28-30 69-30 40 0 68 30 29 30 36 84t8 203q0 145-8 191t-33 73z'/%3E%3C/defs%3E%3Cg data-mml-node='math' stroke='currentColor' fill='currentColor' stroke-width='0'%3E%3Cg data-mml-node='msub'%3E%3Cuse xlink:href='%23a' data-mml-node='mi' transform='scale(1 -1)'/%3E%3Cuse xlink:href='%23b' data-mml-node='mn' transform='matrix(.707 0 0 -.707 572 150)'/%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-particular-solution-y0-size{position:relative;top:3px;width:2.022ex;height:1.464ex}.example-particular-solution-y0{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='2.022ex' height='1.464ex' role='img' focusable='false' viewBox='0 -442 893.6 647' style='vertical-align: -0.464ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(490, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='30' d='M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-particular-solution-x1-size{position:relative;top:3px;width:2.207ex;height:1.339ex}.example-particular-solution-x1{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='2.207ex' height='1.339ex' role='img' focusable='false' viewBox='0 -442 975.6 592' style='vertical-align: -0.339ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='78' d='M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(572, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-particular-solution-y1-size{position:relative;top:3px;width:2.022ex;height:1.464ex}.example-particular-solution-y1{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='2.022ex' height='1.464ex' role='img' focusable='false' viewBox='0 -442 893.6 647' style='vertical-align: -0.464ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='msub'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='79' d='M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' transform='translate(490, -150) scale(0.707)' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-c-equal-five-size{position:relative;top:1px;width:5.128ex;height:1.692ex}.example-c-equal-five{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='5.128ex' height='1.692ex' role='img' focusable='false' viewBox='0 -666 2266.6 748' style='vertical-align: -0.186ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='63' d='M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(710.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(1766.6, 0)'%3E%3Cpath data-c='35' d='M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-gcd-sixty-seven-and-seven-ru-size{position:relative;top:5px;width:14.64ex;height:2.262ex}.example-gcd-sixty-seven-and-seven-ru{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='14.64ex' height='2.262ex' role='img' focusable='false' viewBox='0 -750 6470.9 1000' style='vertical-align: -0.566ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='TeXAtom' data-mjx-texclass='ORD'%3E%3Cg data-mml-node='mo'%3E%3Ctext data-variant='normal' transform='matrix(1 0 0 -1 0 0)' font-size='884px' font-family='serif'%3EН%3C/text%3E%3Ctext data-variant='normal' transform='translate(648.5, 0) matrix(1 0 0 -1 0 0)' font-size='884px' font-family='serif'%3EО%3C/text%3E%3Ctext data-variant='normal' transform='translate(1297, 0) matrix(1 0 0 -1 0 0)' font-size='884px' font-family='serif'%3EД%3C/text%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1914.7, 0)'%3E%3Cpath data-c='28' d='M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' data-mjx-texclass='ORD' transform='translate(2303.7, 0)'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(3303.7, 0)'%3E%3Cpath data-c='2C' d='M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='TeXAtom' data-mjx-texclass='ORD' transform='translate(3748.3, 0)'%3E%3Cg data-mml-node='mn'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4248.3, 0)'%3E%3Cpath data-c='29' d='M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4915.1, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(5970.9, 0)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-gcd-sixty-seven-and-seven-en-size{position:relative;top:5px;width:13.702ex;height:2.262ex}.example-gcd-sixty-seven-and-seven-en{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='13.702ex' height='2.262ex' role='img' focusable='false' viewBox='0 -750 6056.2 1000' style='vertical-align: -0.566ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='67' d='M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z'%3E%3C/path%3E%3Cpath data-c='63' d='M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z' transform='translate(500, 0)'%3E%3C/path%3E%3Cpath data-c='64' d='M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z' transform='translate(944, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1500, 0)'%3E%3Cpath data-c='2061' d=''%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(1500, 0)'%3E%3Cpath data-c='28' d='M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(1889, 0)'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(2889, 0)'%3E%3Cpath data-c='2C' d='M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(3333.7, 0)'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(3833.7, 0)'%3E%3Cpath data-c='29' d='M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(4500.4, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(5556.2, 0)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-c-equal-one-size{width:5.128ex;height:1.692ex}.example-c-equal-one{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='5.128ex' height='1.692ex' role='img' focusable='false' viewBox='0 -666 2266.6 748' style='vertical-align: -0.186ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='63' d='M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(710.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(1766.6, 0)'%3E%3Cpath data-c='31' d='M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-a-equal-sixty-seven-size{position:relative;top:2px;width:6.476ex;height:1.715ex}.example-a-equal-sixty-seven{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='6.476ex' height='1.715ex' role='img' focusable='false' viewBox='0 -676 2862.6 758' style='vertical-align: -0.186ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='61' d='M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(806.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(1862.6, 0)'%3E%3Cpath data-c='36' d='M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z'%3E%3C/path%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z' transform='translate(500, 0)'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}.example-b-equal-seven-size{position:relative;top:2px;width:5.119ex;height:1.756ex}.example-b-equal-seven{background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='5.119ex' height='1.756ex' role='img' focusable='false' viewBox='0 -694 2262.6 776' style='vertical-align: -0.186ex;'%3E%3Cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)'%3E%3Cg data-mml-node='math'%3E%3Cg data-mml-node='mi'%3E%3Cpath data-c='62' d='M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mo' transform='translate(706.8, 0)'%3E%3Cpath data-c='3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3E%3C/path%3E%3C/g%3E%3Cg data-mml-node='mn' transform='translate(1762.6, 0)'%3E%3Cpath data-c='37' d='M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z'%3E%3C/path%3E%3C/g%3E%3C/g%3E%3C/g%3E%3C/svg%3E")}