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Exercício 1

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Exercício - FUNDAMENTOS DA ANÁLISE QUÍMICA QUALITATIVA Sair e finalizar depois
							
 1
 Marcar para revisão Em relação ao processo de ionização, podemos afirmar corretamente:
 A 
 Ocorre em algumas moléculas covalentes, principalmente ácidos.
B 
 Ocorre em compostos iônicos.
C 
 Ocorre em compostos dotados de ligação metálica.
D 
 Forma soluções não eletrolíticas.
E 
 Ocorre tanto em compostos iônicos como em compostos covalentes.
 
 
 Resposta correta
 
				Gabarito comentado
 
2
 Marcar para revisão Considere uma solução preparada com a dissolução de 1 mol de NaCl em um volume final de 1 litro, utilizando água como solvente. A molaridade das partículas presentes após completa solubilização e dissociação do sal nessa solução será:
 A 
 6 x 1023
B 
 1 mol.l-1
C 
 2 mol.l-1
D 
 3 x 1023
E 
 0,5 mol.l-1
 
 
 Resposta incorreta
 
				Gabarito comentado
 
3
 Marcar para revisão Em relação aos sais insolúveis, indique a alternativa correta:
 A 
 São compostos formados por ligações covalentes.
B 
 São considerados eletrólitos fracos em solução aquosa.
C 
 Solubilizam-se por ionização em meio aquoso.
D 
 Formam soluções não eletrolíticas.
E 
 São considerados eletrólitos fortes em meio aquoso.
 
 
 Resposta incorreta
 
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4
 Marcar para revisão A respeito das soluções coloidais, assinale a alternativa correta.
 A 
 A natureza das partículas presentes refere-se a átomos, íons ou moléculas.
B 
 São sistemas homogêneos.
C 
 As partículas presentes sedimentam-se por ultracentrifugação.
D 
 O tamanho médio das partículas situa-se entre 0 e 1 nm.
E 
 As partículas não são visíveis com nenhum aparelho.
 
 
 Resposta incorreta
 
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5
 Marcar para revisão A respeito da força de um eletrólito, podemos afirmar corretamente que:
 A 
 Sais solúveis normalmente são classificados como eletrólitos fortes.
B 
 Ácidos fracos dão origem a eletrólitos fortes.
C 
 Compostos que se dissolvem sem se ionizarem ou se dissociarem representam os eletrólitos mais fortes.
D 
 Eletrólitos fracos resultam em sais muito solúveis.
E 
 Eletrólitos fortes são incapazes de conduzir corrente elétrica em meio aquoso.
 
 
 Resposta incorreta
 
				Gabarito comentado
 
6
 Marcar para revisão Embora haja diferentes sistemas químicos de misturas de substâncias, denominadas dispersões, em química analítica qualitativa, a maioria das análises são realizadas em amostras dissolvidas em soluções ou soluções verdadeiras. Assinale a alternativa correta a respeito das soluções verdadeiras.
 A 
 A natureza das partículas presentes refere-se a átomos, íons ou moléculas.
B 
 São sistemas heterogêneos.
C 
 As partículas presentes sedimentam-se por ultracentrifugação.
D 
 O tamanho médio das partículas situa-se entre 1 a 1.000 nm.
E 
 As partículas são visíveis em ultramicroscópio.
 
 
 Resposta incorreta
 
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7
 Marcar para revisão Assinale a alternativa que descreve somente técnicas por via seca:
 A 
 Ensaio de chama e análise dos grupos de cátions.
B 
 Análise por pérolas coloridas e análise dos grupos de ânions.
C 
 Ensaio da chama e análise por pérolas coloridas.
D 
 Análise dos grupos de cátions e análise dos grupos de ânions.
E 
 Análise dos grupos de cátions e análise por pérolas coloridas.
 
 
 Resposta correta
 
				Gabarito comentado
 
8
 Marcar para revisão Uma solução 0,2 mol.L-1 de dextrose, contida em um balão volumétrico de 100 ml, é transferida para um balão de 500 ml e tem o volume preenchido com o solvente até o volume total desse último balão, de acordo com a marcação nessa vidraria. Assinale a alternativa que indica corretamente a concentração final dessa solução.
 A 
 0,2 mol.l-1
B 
 0,1 mol.l-1
C 
 0,02 mol.l-1
D 
 0,025 mol.l-1
E 
 0,04 mol.l-1
 
 
 Resposta incorreta
 
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9
 Marcar para revisão A técnica de copelação consiste, quimicamente, em uma oxidação de impurezas metálicas presentes no material que se deseja purificar. Essa técnica tem cerca de 5.000 mil anos e foi desenvolvida no antigo Egito. Assinale a alternativa correta a respeito da copelação:
 A 
 Utilizada para a purificação de ferro e cobre.
B 
 Utilizada para a purificação de prata e platina.
C 
 Utilizada para a purificação de platina e oura.
D 
 Utilizada para a purificação de ouro e cobre.
E 
 Utilizada para a purificação de prata e ouro.
 
 
 Resposta correta
 
				Gabarito comentado
 
10
 Marcar para revisão Uma solução de sacarose é preparada e, após todos os procedimentos adequados, realizados por um técnico qualificado, foi aferida a concentração de 0,25 mol.l-1. Considerando que a massa molar da sacarose é de 342 g.mol-1, assinale a alternativa que indica a concentração dessa solução em gramas.l -1 :
 A 
 342 g.l -1
B 
 6 x 1023 g.l-1
C 
 171 g.l-1
D 
 85,5 g.l-1
E 
 1,5 x 1023 g.l-1
 
 
 Resposta incorreta
 
				Gabarito comentado
 Resposta correta: D
 A resposta certa é:85,5 g.l-1
 
 
 
 
 
 
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.tw-1pmfoln { --tw-142admc:0; transform: translateX(var(--tw-1e4pbj4,0)) translateY(var(--tw-142admc,0)) rotate(var(--tw-9ouawy,0)) skewX(var(--tw-wnlb2r,0)) skewY(var(--tw-o4ir2d,0)) scaleX(var(--tw-vkgkf8,1)) scaleY(var(--tw-1lff04g,1)); }
.tw-x9nr11 { --tw-dxr4o8:1; color: rgba(4,116,129,var(--tw-dxr4o8)); }
.tw-9jd5cn { --tw-dxr4o8:1; color: rgba(22,30,46,var(--tw-dxr4o8)); }
.tw-1j0r9dp { --tw-142admc:420px; transform: translateX(var(--tw-1e4pbj4,0)) translateY(var(--tw-142admc,0)) rotate(var(--tw-9ouawy,0)) skewX(var(--tw-wnlb2r,0)) skewY(var(--tw-o4ir2d,0)) scaleX(var(--tw-vkgkf8,1)) scaleY(var(--tw-1lff04g,1)); }
.tw-1kojpkl { --tw-dxr4o8:1; color: rgba(4,108,78,var(--tw-dxr4o8)); }
.tw-1p0c50y { --tw-dxr4o8:1; color: rgba(75,85,99,var(--tw-dxr4o8)); }
.tw-y5055k { --tw-dxr4o8:1; color: rgba(200,30,30,var(--tw-dxr4o8)); }
.tw-1n5bxge { --tw-dxr4o8:1; color: rgba(119,29,29,var(--tw-dxr4o8)); }
.tw-zyrji9 { --tw-17cwy6m:1; background-color: rgba(244,245,247,var(--tw-17cwy6m)); }
.tw-1u2gant { left: 0px; right: 0px; }
.tw-1q6atjy { padding-left: 1rem; padding-right: 1rem; }
.tw-1jye5ej { --tw-17cwy6m:1; background-color: rgba(255,255,255,var(--tw-17cwy6m)); }
.tw-jpjwtu { margin-left: auto; margin-right: auto; }
.tw-15qect2 { --tw-1qg7wmx:0 1px 3px 0 rgba(0, 0, 0, 0.1), 0 1px 2px 0 rgba(0, 0, 0, 0.06); box-shadow: var(--tw-1s0t3ke,0 0 transparent),var(--tw-zxn4nw,0 0 transparent),var(--tw-1qg7wmx); }
.tw-wtvmsz { padding-left: 0.5rem; padding-right: 0.5rem; }
.tw-jj2nrv { padding-bottom: 0.25rem; padding-top: 0.25rem; }
.tw-lt7f83 { --tw-20lssk:1; border-color: rgba(229,231,235,var(--tw-20lssk)); }
.tw-kqsx9b { --tw-1qg7wmx:0 1px 2px 0 rgba(0, 0, 0, 0.05); box-shadow: var(--tw-1s0t3ke,0 0 transparent),var(--tw-zxn4nw,0 0 transparent),var(--tw-1qg7wmx); }
.tw-19q0g34 { --tw-20lssk:1; border-color: rgba(210,214,220,var(--tw-20lssk)); }
.tw-o51y0e { padding-left: 0.625rem; padding-right: 0.625rem; }
.tw-1a08jm9 { padding-bottom: 0.75rem; padding-top: 0.75rem; }
.tw-17freqa { padding-left: 0.75rem; padding-right: 0.75rem; }
.tw-15zz0pi { --tw-20lssk:1; border-color: rgba(14,170,195,var(--tw-20lssk)); }
.tw-3vw5ft { padding-left: 3.5rem; padding-right: 3.5rem; }
.tw-lb0xse { --tw-17cwy6m:1; background-color: rgba(14,170,195,var(--tw-17cwy6m)); }
.tw-4okfdm { --tw-1qg7wmx:0 4px 6px -1px rgba(0, 0, 0, 0.1), 0 2px 4px -1px rgba(0, 0, 0, 0.06); box-shadow: var(--tw-1s0t3ke,0 0 transparent),var(--tw-zxn4nw,0 0 transparent),var(--tw-1qg7wmx); }
.tw-1rde9gy { --tw-1qg7wmx:0 0 0 1px rgba(0, 0, 0, 0.05); box-shadow: var(--tw-1s0t3ke,0 0 transparent),var(--tw-zxn4nw,0 0 transparent),var(--tw-1qg7wmx); }
.tw-2zou5x { --tw-20lssk:1; border-color: rgba(4,116,129,var(--tw-20lssk)); }
.tw-16uoptb { --tw-17cwy6m:1; background-color: rgba(237,250,250,var(--tw-17cwy6m)); }
.tw-1ubuvjp { font-size: 1.125rem; line-height: 1.75rem; }
.tw-11n80ic { --tw-17cwy6m:1; background-color: rgba(222,247,236,var(--tw-17cwy6m)); }
.tw-np2qyt { --tw-20lssk:1; border-color: rgba(132,225,188,var(--tw-20lssk)); }
.tw-1sr1m76 { --tw-17cwy6m:1; background-color: rgba(253,232,232,var(--tw-17cwy6m)); }
.tw-uz6908 { --tw-20lssk:1; border-color: rgba(248,180,180,var(--tw-20lssk)); }
.tw-1xtq312 { --tw-17cwy6m:1; background-color: rgba(22,189,202,var(--tw-17cwy6m)); }
.tw-bvgx8m { --tw-20lssk:1; border-color: rgba(37,47,63,var(--tw-20lssk)); }
.tw-7xt1uv p { margin-top: 1.33333em; margin-bottom: 1.33333em; }
.tw-7xt1uv img { margin-top: 1.77778em; margin-bottom: 1.77778em; }
.tw-7xt1uv video { margin-top: 1.77778em; margin-bottom: 1.77778em; }
.tw-7xt1uv figure { margin-top: 1.77778em; margin-bottom: 1.77778em; }
.tw-7xt1uv figure > * { margin-top: 0px; margin-bottom: 0px; }
.tw-7xt1uv ol { margin-top: 1.33333em; margin-bottom: 1.33333em; }
.tw-7xt1uv ul { margin-top: 1.33333em; margin-bottom: 1.33333em;
}
.tw-7xt1uv li { margin-top: 0.666667em; margin-bottom: 0.666667em; }
.tw-7xt1uv > ul > li p { margin-top: 0.888889em; margin-bottom: 0.888889em; }
.tw-7xt1uv ul ul, .tw-7xt1uv ul ol, .tw-7xt1uv ol ul, .tw-7xt1uv ol ol { margin-top: 0.888889em; margin-bottom: 0.888889em; }
.tw-7xt1uv hr { margin-top: 3.11111em; margin-bottom: 3.11111em; }
.tw-7xt1uv table { font-size: 0.888889em; line-height: 1.5; }
.tw-7xt1uv { font-size: 1.125rem; line-height: 1.77778; }
.tw-kbkvp2 { --tw-17cwy6m:1; background-color: rgba(0,0,0,var(--tw-17cwy6m)); }
.tw-cqyp7d { --tw-1qg7wmx:0 10px 15px -3px rgba(0, 0, 0, 0.1), 0 4px 6px -2px rgba(0, 0, 0, 0.05); box-shadow: var(--tw-1s0t3ke,0 0 transparent),var(--tw-zxn4nw,0 0 transparent),var(--tw-1qg7wmx); }
.tw-jgljaq { --tw-17cwy6m:1; background-color: rgba(22,30,46,var(--tw-17cwy6m)); }
.tw-1xe7n20 { --tw-17cwy6m:1; background-color: rgba(243,250,247,var(--tw-17cwy6m)); }
.tw-ex5u41 { --tw-20lssk:1; border-color: rgba(188,240,218,var(--tw-20lssk)); }
.tw-13m57cv { --tw-17cwy6m:1; background-color: rgba(14,159,110,var(--tw-17cwy6m)); }
.tw-jmdp6p { --tw-20lssk:1; border-color: rgba(14,159,110,var(--tw-20lssk)); }
.tw-1t74ut3 { margin-left: 1rem; margin-right: 1rem; }
.tw-1rb9xwa { --tw-17cwy6m:1; background-color: rgba(253,242,242,var(--tw-17cwy6m)); }
.tw-10zlsy1 { --tw-20lssk:1; border-color: rgba(251,213,213,var(--tw-20lssk)); }
.tw-1u8yv89 { --tw-17cwy6m:1; background-color: rgba(240,82,82,var(--tw-17cwy6m)); }
.tw-14w1caq { --tw-20lssk:1; border-color: rgba(240,82,82,var(--tw-20lssk)); }
.tw-11csvii { padding-bottom: 0.5rem; padding-top: 0.5rem; }
.tw-1nwcw6d { padding-bottom: 1rem; padding-top: 1rem; }
.tw-1iw2u41 { --tw-20lssk:1; border-color: rgba(224,36,36,var(--tw-20lssk)); }
.tw-1rm0lxk strong { color: rgb(22, 30, 46); font-weight: 600; }
.tw-1rm0lxk ol { margin-top: 1.25em; margin-bottom: 1.25em; }
.tw-1rm0lxk hr { margin-top: 3em; margin-bottom: 3em; }
.tw-1rm0lxk table { font-size: 0.875em; line-height: 1.71429; }
.tw-1rm0lxk p { margin-top: 1.25em; margin-bottom: 1.25em; }
.tw-1rm0lxk img { margin-top: 2em; margin-bottom: 2em; }
.tw-1rm0lxk video { margin-top: 2em; margin-bottom: 2em; }
.tw-1rm0lxk figure { margin-top: 2em; margin-bottom: 2em; }
.tw-1rm0lxk figure > * { margin-top: 0px; margin-bottom: 0px; }
.tw-1rm0lxk ul { margin-top: 1.25em; margin-bottom: 1.25em; }
.tw-1rm0lxk li { margin-top: 0.5em; margin-bottom: 0.5em; }
.tw-1rm0lxk > ul > li p { margin-top: 0.75em; margin-bottom: 0.75em; }
.tw-1rm0lxk ul ul, .tw-1rm0lxk ul ol, .tw-1rm0lxk ol ul, .tw-1rm0lxk ol ol { margin-top: 0.75em; margin-bottom: 0.75em; }
.tw-1rm0lxk tbody tr { border-bottom-width: 1px; border-bottom-color: rgb(229, 231, 235); }
.tw-i5qucf { border-top-right-radius: 0.375rem; border-bottom-right-radius: 0.375rem; }
.tw-bchh3e { -webkit-font-smoothing: antialiased; }
.tw-wse0fj { flex: 1 1 0%; }
.tw-4itnqw { width: 100%; }
.tw-38xw2v { height: 4rem; }
.tw-1tjwju9 { position: fixed; }
.tw-bibj42 { display: flex; }
.tw-1r4xf36 { width: 100%; }
.tw-1842wnm { display: inline-flex; }
.tw-yiw6oq { height: 2.5rem; }
.tw-4035ja { width: 1.5rem; }
.tw-lzrz5w { height: 1.5rem; }
.tw-15hl2ou { padding: 1.25rem; }
.tw-wq0zed { padding: 1rem; }
.tw-1ci6u24 { height: 2rem; }
.tw-13jg9nj { cursor: pointer; }
.tw-es9vdg { width: 2rem; }
.tw-146ivlt { margin: 0.75rem; }
.tw-yop1fi { cursor: not-allowed; }
.tw-1f0xmon { opacity: 0.5; }
.tw-8r3clv { height: 5rem; }
.tw-uielg5 { width: 3rem; }
.tw-b0jt8u { height: 3rem; }
.tw-11zu30l { width: 2.5rem; }
.tw-ilyltl { height: 420px; }
.tw-1bzecn6 { width: 0.5rem; }
.tw-8o4x3k { height: 0.5rem; }
.tw-1d30qku { display: grid; }
.tw-liygbk { gap: 0.5rem; }
.tw-1daas00 { position: relative; }
.tw-5sgfrx { display: none; }
.tw-2lynlf { position: absolute; }
.tw-pexxek { float: left; }
.tw-1ravvur { visibility: hidden; }
.tw-2z1gdo { float: right; }
.tw-hebbu4 { display: block; }
.tw-w6vf7l { width: 18rem; }
.tw-qn1suc { height: 3.5rem; }
.tw-1qa1hx { padding: 0.5rem; }
.tw-ecclau { height: 0.125rem; }
.tw-nyzb1d { appearance: none; }
.tw-18ihyea { overflow: hidden; }
.tw-n9hh7d { width: 100vw; }
.tw-1kyz2p7 { height: 100vh; }
.tw-7dquhq { padding: 0.75rem; }
.tw-1rm0lxk blockquote p:first-of-type::before { content: open-quote; }
.tw-1rm0lxk blockquote p:last-of-type::after { content: close-quote; }
.tw-1rm0lxk code::before { content: "`"; }
.tw-1rm0lxk code::after { content: "`"; }
.tw-1rm0lxk a code { color: rgb(22, 30, 46); }
.tw-1rm0lxk pre code::before { content: ""; }
.tw-1rm0lxk pre code::after { content: ""; }
.tw-ym0vn6 { top: 0px; }
.tw-1qs4hfg { z-index: 1070; }
.tw-5swr3n { align-items: center; }
.tw-1oqjqw3 { font-size: 0.875rem; }
.tw-10ap1b0 { font-weight: 600; }
.tw-pqwcpr { text-decoration: none; }
.tw-wksl1i { white-space: nowrap; }
.tw-1urv0c8 { border-width: 1px; }
.tw-19wxcu7 { line-height: 1; }
.tw-sz78el { transition-duration: 150ms; }
.tw-eudyra { border-color: transparent; }
.tw-zekn6a { background-color: transparent; }
.tw-1yvmfxt { padding-left: 1rem; }
.tw-1wgy9dg { padding-right: 0.5rem; }
.tw-1gttjin { justify-content: center; }
.tw-t9u6mk { min-width: 1.5rem; }
.tw-1loc9w { min-height: 1.5rem; }
.tw-jc03hz { max-width: 768px; }
.tw-d7xb6q { max-width: 992px; }
.tw-b5l3fi { margin-left: auto; }
.tw-xw0lap { padding-bottom: 2.5rem; }
.tw-jsymyp { flex-direction: column; }
.tw-1dnehv9 { margin-bottom: 1rem; }
.tw-1tmac1q { justify-content: space-between; }
.tw-jun81 { font-size: 0.75rem; }
.tw-sh9sdi { margin-right: 0.5rem; }
.tw-5zfhk2 { min-width: 2rem; }
.tw-xqjqk0 { line-height: 1.25rem; }
.tw-pg5i1b { font-weight: 400; }
.tw-1d85w9g { margin-top: 1rem; }
.tw-1bl3ilk { min-height: 2rem; }
.tw-1hldgxw { left: 50%; }
.tw-g0pqgs { bottom: 0px; }
.tw-7ox052 { transition-duration: 200ms; }
.tw-1gcjz1j { z-index: 1040; }
.tw-1575cvm { flex-direction: row; }
.tw-1w1z66d { min-width: 2.5rem; }
.tw-1hnb7ac { min-height: 2.5rem; }
.tw-13snfn9 { padding-bottom: 1rem; }
.tw-tyar80 { padding-top: 0px; }
.tw-1453z0f { padding-bottom: 0.5rem; }
.tw-spbsi0 { margin-bottom: 0.5rem; }
.tw-19bmkho { max-height: 186px; }
.tw-1fy1p7m { padding-top: 0.75rem; }
.tw-1hnl2d4 { overflow-y: auto; }
.tw-1o8hsgx { overflow-x: hidden; }
.tw-ta5dcz { padding-right: 1px; }
.tw-onrxx9 { top: calc(-0.125rem); }
.tw-1iumfzz { right: calc(-0.125rem); }
.tw-9wyrdi { font-weight: 700; }
.tw-1rgnv7u { user-select: none; }
.tw-nkn5hg { top: 4rem; }
.tw-1g19jkl { z-index: 1020; }
.tw-1uoj121 { padding-right: 0.625rem; }
.tw-oe629v { padding-left: 0.5rem; }
.tw-e3y35w { padding-left: 0.625rem; }
.tw-1yttiq0 { line-height: 2rem; }
.tw-10s9vuy { text-align: center; }
.tw-117ok3g { overflow-wrap: break-word; }
.tw-7xt1uv code { font-size: 0.888889em; }
.tw-7xt1uv h2 code { font-size: 0.866667em; }
.tw-7xt1uv h3 code { font-size: 0.875em; }
.tw-7xt1uv ol > li { padding-left: 1.66667em; }
.tw-7xt1uv ol > li::before { left: 0px; }
.tw-7xt1uv ul > li { padding-left: 1.66667em; }
.tw-7xt1uv > ul > li > :first-child { margin-top: 1.33333em; }
.tw-7xt1uv > ul > li > :last-child { margin-bottom: 1.33333em; }
.tw-7xt1uv > ol > li > :first-child { margin-top: 1.33333em; }
.tw-7xt1uv > ol > li > :last-child { margin-bottom: 1.33333em; }
.tw-7xt1uv hr + * { margin-top: 0px; }
.tw-7xt1uv h2 + * { margin-top: 0px; }
.tw-7xt1uv h3 + * { margin-top: 0px; }
.tw-7xt1uv h4 + * { margin-top: 0px; }
.tw-7xt1uv thead th:first-child { padding-left: 0px; }
.tw-7xt1uv thead th:last-child { padding-right: 0px; }
.tw-7xt1uv tbody td:first-child { padding-left: 0px; }
.tw-7xt1uv tbody td:last-child { padding-right:
0px; }
.tw-7xt1uv > :first-child { margin-top: 0px; }
.tw-7xt1uv > :last-child { margin-bottom: 0px; }
.tw-1gh7bbv { z-index: 1030; }
.tw-10nxo6t { font-size: 1.5rem; }
.tw-16y3pow { line-height: 1rem; }
.tw-1vvh62j { max-width: 14rem; }
.tw-sqeatw { align-items: flex-end; }
.tw-1mxittu { top: 1rem; }
.tw-ptusxf { right: 1rem; }
.tw-11pp1o7 { min-height: 3.5rem; }
.tw-1kwf7ch { left: 0px; }
.tw-1h2s3j7 { pointer-events: none; }
.tw-zmhf4p { min-width: 16rem; }
.tw-1263u2t { max-width: 100vw; }
.tw-15gqx1w { pointer-events: auto; }
.tw-1ycxsy { right: 0px; }
.tw-1adzc4j { margin-bottom: 0.75rem; }
.tw-1bm3l2p { z-index: 1000; }
.tw-ql5k57 { line-height: 1.75rem; }
.tw-cve7q5 { justify-content: flex-end; }
.tw-aysv3w { padding-top: 1rem; }
.tw-1rm0lxk ol > li { padding-left: 1.75em; }
.tw-1rm0lxk ol > li::before { left: 0px; }
.tw-1rm0lxk ul > li { padding-left: 1.75em; }
.tw-1rm0lxk code { font-size: 0.875em; }
.tw-1rm0lxk h2 code { font-size: 0.875em; }
.tw-1rm0lxk h3 code { font-size: 0.9em; }
.tw-1rm0lxk > ul > li > :first-child { margin-top: 1.25em; }
.tw-1rm0lxk > ul > li > :last-child { margin-bottom: 1.25em; }
.tw-1rm0lxk > ol > li > :first-child { margin-top: 1.25em; }
.tw-1rm0lxk > ol > li > :last-child { margin-bottom: 1.25em; }
.tw-1rm0lxk hr + * { margin-top: 0px; }
.tw-1rm0lxk h2 + * { margin-top: 0px; }
.tw-1rm0lxk h3 + * { margin-top: 0px; }
.tw-1rm0lxk h4 + * { margin-top: 0px; }
.tw-1rm0lxk thead th:first-child { padding-left: 0px; }
.tw-1rm0lxk thead th:last-child { padding-right: 0px; }
.tw-1rm0lxk tbody td:first-child { padding-left: 0px; }
.tw-1rm0lxk tbody td:last-child { padding-right: 0px; }
.tw-1rm0lxk > :first-child { margin-top: 0px; }
.tw-1rm0lxk > :last-child { margin-bottom: 0px; }
.tw-1ohvdna { transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1); }
.tw-1rx4cdn { border-radius: 9999px; }
.tw-1mm45yt { border-radius: 0.5rem; }
.tw-1e7psed { border-radius: 0.25rem; }
.tw-1haj2z { border-radius: 0.375rem; }
.tw-1g2jw1d { border-radius: 0.75rem; }
.tw-1dbv9mi { grid-auto-rows: auto; }
.tw-gnjiqt { grid-template-columns: repeat(5, minmax(0px, 1fr)); }
.tw-1rqqc00 { border-bottom-width: 1px; }
.tw-1j3j3gx { border-top-width: 1px; }
.tw-1oxtt6x { border-left-width: 4px; }
.tw-wjd1p { border-top-width: 2px; }
.tw-1rm0lxk tbody tr:last-child { border-bottom-width: 0px; }
.tw-gc2hie { --tw-17cwy6m:0.1; }
.tw-6iawrv { --tw-dxr4o8:0.8; }
.tw-1h6ooob { --tw-dxr4o8:0.2; }
.tw-15z0dde { --tw-17cwy6m:0.25; }
.tw-qkd8vj:hover { --tw-17cwy6m:1; background-color: rgba(244,245,247,var(--tw-17cwy6m)); }
.tw-17ucsei:hover { --tw-17cwy6m:1; background-color: rgba(237,250,250,var(--tw-17cwy6m)); }
.tw-1w2p40d:hover { --tw-17cwy6m:1; background-color: rgba(255,255,255,var(--tw-17cwy6m)); }
.tw-idysvt:hover { --tw-20lssk:1; border-color: rgba(210,214,220,var(--tw-20lssk)); }
.tw-1gi5djy:hover { --tw-20lssk:1; border-color: rgba(14,170,195,var(--tw-20lssk)); }
.tw-1dhq167:hover { --tw-17cwy6m:1; background-color: rgba(0,0,0,var(--tw-17cwy6m)); }
.tw-17guwxw:hover { --tw-17cwy6m:0.1; }
.tw-1ixpr72:hover { --tw-dxr4o8:1; }
.tw-1dbvst7:focus { outline: transparent solid 2px; outline-offset: 2px; }
.tw-1ibaw0p:focus { --tw-mo52hn:1; --tw-g5efu5:transparent; }
.tw-enuw79:active { --tw-dxr4o8:1; color: rgba(75,85,99,var(--tw-dxr4o8)); }
.tw-sr309f:active { --tw-17cwy6m:1; background-color: rgba(244,245,247,var(--tw-17cwy6m)); }
.tw-1adxrkj:active { --tw-17cwy6m:1; background-color: rgba(11,142,163,var(--tw-17cwy6m)); }
.tw-1t5dqxd:active { --tw-20lssk:1; border-color: rgba(11,142,163,var(--tw-20lssk)); }
@media (min-width: 480px) {
 .tw-1r4xf36 { max-width: 480px; }
}
@media (min-width: 768px) {
 .tw-1r4xf36 { max-width: 768px; }
}
@media (min-width: 992px) {
 .tw-1r4xf36 { max-width: 992px; }
}
@media (min-width: 1200px) {
 .tw-1r4xf36 { max-width: 1200px; }
}
@media (min-width: 480px) {
 .tw-1h5x384 { padding-bottom: 2.5rem; padding-top: 2.5rem; }
}
@media (min-width: 480px) {
 .tw-bivvb1 { border-bottom-left-radius: 0.5rem; border-bottom-right-radius: 0.5rem; }
}
@media (min-width: 480px) {
 .tw-aaspp5 { max-width: 24rem; }
}
@media (min-width: 480px) {
 .tw-5tvlmy:hover { --tw-dxr4o8:1; color: rgba(55,65,81,var(--tw-dxr4o8)); }
}
@media (min-width: 480px) {
 .tw-19hkh3e:hover { --tw-17cwy6m:1; background-color: rgba(244,245,247,var(--tw-17cwy6m)); }
}
@media (min-width: 480px) {
 .tw-1827fqg:hover { --tw-17cwy6m:1; background-color: rgba(249,250,251,var(--tw-17cwy6m)); }
}
@media (min-width: 480px) {
 .tw-vv8qbq:hover { --tw-17cwy6m:1; background-color: rgba(15,189,217,var(--tw-17cwy6m)); }
}
@media (min-width: 480px) {
 .tw-1xaqe75:hover { --tw-20lssk:1; border-color: rgba(15,189,217,var(--tw-20lssk)); }
}
@media (min-width: 480px) {
 .tw-1tgnqos:focus { --tw-1s0t3ke:var(--tw-1m9cmzd) 0 0 0 var(--tw-iljcf6) var(--tw-1q9ryqm); --tw-zxn4nw:var(--tw-1m9cmzd) 0 0 0 calc(3px + var(--tw-iljcf6)) var(--tw-g5efu5); box-shadow: var(--tw-1s0t3ke),var(--tw-zxn4nw),var(--tw-1qg7wmx,0 0 transparent); }
}
@media (min-width: 480px) {
 .tw-xvp90f:focus { --tw-20lssk:1; border-color: rgba(164,202,254,var(--tw-20lssk)); }
}
@media (min-width: 480px) {
 .tw-jaygvw:focus { --tw-mo52hn:1; --tw-g5efu5:rgba(195,221,253,var(--tw-mo52hn)); }
}
@media (min-width: 480px) {
 .tw-pbzamb:focus { --tw-mo52hn:1; --tw-g5efu5:rgba(159,229,240,var(--tw-mo52hn)); }
}
@media (min-width: 480px) {
 .tw-4a4471:focus { --tw-mo52hn:0.5; }
}
@media (min-width: 480px) {
 .tw-1v5g64a:focus { --tw-iljcf6:2px; }
}
@media (min-width: 768px) {
 .tw-iu82fl { width: 12rem; }
}
@media (min-width: 768px) {
 .tw-fa5abe { flex-direction: row; }
}
@media (min-width: 992px) {
 .tw-lps2w2 > :not([hidden]) ~ :not([hidden]) { --tw-kp2225:0; margin-bottom: calc(0 * var(--tw-kp2225)); margin-top: calc(0 * calc(1 - var(--tw-kp2225))); }
}
@media (min-width: 992px) {
 .tw-1ea24f3 > :not([hidden]) ~ :not([hidden]) { --tw-zjcdxm:0; margin-right: calc(1rem * var(--tw-zjcdxm)); margin-left: calc(1rem * calc(1 - var(--tw-zjcdxm))); }
}
@media (min-width: 992px) {
 .tw-bfs1v4 > :not([hidden]) ~ :not([hidden]) { --tw-zjcdxm:0; margin-right: calc(0 * var(--tw-zjcdxm)); margin-left: calc(0 * calc(1 - var(--tw-zjcdxm))); }
}
@media (min-width: 992px) {
 .tw-5il3kq > :not([hidden]) ~ :not([hidden]) { --tw-kp2225:0; margin-bottom: calc(0.5rem * var(--tw-kp2225)); margin-top: calc(0.5rem * calc(1 - var(--tw-kp2225))); }
}
@media (min-width: 992px) {
 .tw-nsct66 { --tw-142admc:0; transform: translateX(var(--tw-1e4pbj4,0)) translateY(var(--tw-142admc,0)) rotate(var(--tw-9ouawy,0)) skewX(var(--tw-wnlb2r,0)) skewY(var(--tw-o4ir2d,0)) scaleX(var(--tw-vkgkf8,1)) scaleY(var(--tw-1lff04g,1)); }
}
@media (min-width: 992px) {
 .tw-1j4iwgt { --tw-1e4pbj4:0; transform: translateX(var(--tw-1e4pbj4,0)) translateY(var(--tw-142admc,0)) rotate(var(--tw-9ouawy,0)) skewX(var(--tw-wnlb2r,0)) skewY(var(--tw-o4ir2d,0)) scaleX(var(--tw-vkgkf8,1)) scaleY(var(--tw-1lff04g,1)); }
}
@media (min-width: 992px) {
 .tw-1ybvry0 { --tw-1e4pbj4:20rem; transform: translateX(var(--tw-1e4pbj4,0)) translateY(var(--tw-142admc,0)) rotate(var(--tw-9ouawy,0)) skewX(var(--tw-wnlb2r,0)) skewY(var(--tw-o4ir2d,0)) scaleX(var(--tw-vkgkf8,1)) scaleY(var(--tw-1lff04g,1)); }
}
@media (min-width: 992px) {
 .tw-1sx3siu { padding-left: 0px; padding-right: 0px; }
}
@media (min-width: 992px) {
 .tw-kmr2t { padding-bottom: 1rem; padding-top: 1rem; }
}
@media (min-width: 992px) {
 .tw-1htb3fm { padding-left: 0.5rem; padding-right: 0.5rem; }
}
@media (min-width: 992px) {
 .tw-1m3z08u { padding-bottom: 0.375rem; padding-top: 0.375rem; }
}
@media (min-width: 992px) {
 .tw-157ew5e { position: static; }
}
@media (min-width:
992px) {
 .tw-1s0kcsn { height: auto; }
}
@media (min-width: 992px) {
 .tw-1uw530j { width: auto; }
}
@media (min-width: 992px) {
 .tw-1kcn3v7 { height: 100%; }
}
@media (min-width: 992px) {
 .tw-1tfx4aw { width: 20rem; }
}
@media (min-width: 992px) {
 .tw-16zqd7j { gap: 0.25rem; }
}
@media (min-width: 992px) {
 .tw-12lvsmv { display: none; }
}
@media (min-width: 992px) {
 .tw-qczkdv { top: 7rem; }
}
@media (min-width: 992px) {
 .tw-rhas3b { margin-top: calc(-0.5rem); }
}
@media (min-width: 992px) {
 .tw-19qmhv9 { bottom: auto; }
}
@media (min-width: 992px) {
 .tw-aqp1a5 { }
}
@media (min-width: 992px) {
 .tw-1c09bam { flex-direction: row; }
}
@media (min-width: 992px) {
 .tw-68knvh { right: 0px; }
}
@media (min-width: 992px) {
 .tw-11xozmv { left: auto; }
}
@media (min-width: 992px) {
 .tw-1ix0abx { min-width: 4rem; }
}
@media (min-width: 992px) {
 .tw-hntf74 { flex-direction: column; }
}
@media (min-width: 992px) {
 .tw-1yrktob { padding-bottom: 0px; }
}
@media (min-width: 992px) {
 .tw-16d9u44 { padding-right: 1rem; }
}
@media (min-width: 992px) {
 .tw-b0ym18 { max-height: 9rem; }
}
@media (min-width: 992px) {
 .tw-nwa8jv { top: auto; }
}
@media (min-width: 992px) {
 .tw-1flmbac { bottom: 0px; }
}
@media (min-width: 992px) {
 .tw-15xcjai { grid-template-columns: repeat(7, minmax(0px, 1fr)); }
}
@charset "utf-8";
.icon.svelte-swykdd { width: 1em; height: 1em; }
.spin.svelte-swykdd { animation: 1s linear 0s infinite normal none running svelte-swykdd-spin; }
.pulse.svelte-swykdd { animation: 1s ease-in-out 0s infinite normal none running svelte-swykdd-pulse; }
@-webkit-keyframes svelte-swykdd-spin { 
 0% { transform: rotate(0deg); }
 100% { transform: rotate(360deg); }
}
@keyframes svelte-swykdd-spin { 
 0% { transform: rotate(0deg); }
 100% { transform: rotate(360deg); }
}
@-webkit-keyframes svelte-swykdd-pulse { 
 0% { transform: scale(0); }
 50% { transform: scale(1); }
 100% { transform: scale(0); }
}
@keyframes svelte-swykdd-pulse { 
 0% { transform: scale(0); }
 50% { transform: scale(1); }
 100% { transform: scale(0); }
}
@charset "utf-8";
.CtxtMenu_InfoClose { top: 0.2em; right: 0.2em; }
.CtxtMenu_InfoContent { overflow: auto; text-align: left; font-size: 80%; padding: 0.4em 0.6em; border: 1px inset; margin: 1em 0px; max-height: 20em; max-width: 30em; background-color: rgb(238, 238, 238); white-space: normal; }
.CtxtMenu_Info.CtxtMenu_MousePost { outline: none; }
.CtxtMenu_Info { position: fixed; left: 50%; width: auto; text-align: center; border: 3px outset; padding: 1em 2em; background-color: rgb(221, 221, 221); color: black; cursor: default; font-family: message-box; font-size: 120%; font-style: normal; text-indent: 0px; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; z-index: 201; border-radius: 15px; box-shadow: rgb(128, 128, 128) 0px 10px 20px; }
@charset "utf-8";
.CtxtMenu_MenuClose { position: absolute; cursor: pointer; display: inline-block; border: 2px solid rgb(170, 170, 170); border-radius: 18px; font-family: "Courier New", Courier; font-size: 24px; color: rgb(240, 240, 240); }
.CtxtMenu_MenuClose span { display: block; background-color: rgb(170, 170, 170); border: 1.5px solid; border-radius: 18px; line-height: 0; padding: 8px 0px 6px; }
.CtxtMenu_MenuClose:hover { color: white !important; border: 2px solid rgb(204, 204, 204) !important; }
.CtxtMenu_MenuClose:hover span { background-color: rgb(204, 204, 204) !important; }
.CtxtMenu_MenuClose:hover:focus { outline: none; }
@charset "utf-8";
.CtxtMenu_Menu { position: absolute; background-color: white; color: black; width: auto; padding: 5px 0px; border: 1px solid rgb(204, 204, 204); margin: 0px; cursor: default; font-style: ; font-variant: normal; font-weight: ; font-stretch: ; font-size: ; font-family: ; text-align: left; text-indent: 0px; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; z-index: 201; border-radius: 5px; box-shadow: rgb(128, 128, 128) 0px 10px 20px; }
.CtxtMenu_MenuItem { padding: 1px 2em; background: transparent; }
.CtxtMenu_MenuArrow { position: absolute; right: 0.5em; padding-top: 0.25em; color: rgb(102, 102, 102); font-family: null; font-size: 0.75em; }
.CtxtMenu_MenuActive .CtxtMenu_MenuArrow { color: white; }
.CtxtMenu_MenuArrow.CtxtMenu_RTL { left: 0.5em; right: auto; }
.CtxtMenu_MenuCheck { position: absolute; left: 0.7em; font-family: null; }
.CtxtMenu_MenuCheck.CtxtMenu_RTL { right: 0.7em; left: auto; }
.CtxtMenu_MenuRadioCheck { position: absolute; left: 0.7em; }
.CtxtMenu_MenuRadioCheck.CtxtMenu_RTL { right: 0.7em; left: auto; }
.CtxtMenu_MenuInputBox { padding-left: 1em; right: 0.5em; color: rgb(102, 102, 102); font-family: null; }
.CtxtMenu_MenuInputBox.CtxtMenu_RTL { left: 0.1em; }
.CtxtMenu_MenuComboBox { left: 0.1em; padding-bottom: 0.5em; }
.CtxtMenu_MenuSlider { left: 0.1em; }
.CtxtMenu_SliderValue { position: absolute; right: 0.1em; padding-top: 0.25em; color: rgb(51, 51, 51); font-size: 0.75em; }
.CtxtMenu_SliderBar { outline: none; background: rgb(211, 211, 211); }
.CtxtMenu_MenuLabel { padding: 1px 2em 3px 1.33em; font-style: italic; }
.CtxtMenu_MenuRule { border-top: 1px solid rgb(221, 221, 221); margin: 4px 3px; }
.CtxtMenu_MenuDisabled { color: graytext; }
.CtxtMenu_MenuActive { background-color: rgb(96, 104, 114); color: white; }
.CtxtMenu_MenuDisabled:focus { background-color: rgb(232, 232, 232); }
.CtxtMenu_MenuLabel:focus { background-color: rgb(232, 232, 232); }
.CtxtMenu_ContextMenu:focus { outline: none; }
.CtxtMenu_ContextMenu .CtxtMenu_MenuItem:focus { outline: none; }
.CtxtMenu_SelectionMenu { position: relative; float: left; border-bottom: none; box-shadow: none; border-radius: 0px; }
.CtxtMenu_SelectionItem { padding-right: 1em; }
.CtxtMenu_Selection { right: 40%; width: 50%; }
.CtxtMenu_SelectionBox { padding: 0em; max-height: 20em; max-width: none; background-color: rgb(255, 255, 255); }
.CtxtMenu_SelectionDivider { clear: both; border-top: 2px solid rgb(0, 0, 0); }
.CtxtMenu_Menu .CtxtMenu_MenuClose { top: -10px; left: -10px; }
@charset "utf-8";
mjx-container[jax="CHTML"] { line-height: 0; }
mjx-container [space="1"] { margin-left: 0.111em; }
mjx-container [space="2"] { margin-left: 0.167em; }
mjx-container [space="3"] { margin-left: 0.222em; }
mjx-container [space="4"] { margin-left: 0.278em; }
mjx-container [space="5"] { margin-left: 0.333em; }
mjx-container [rspace="1"] { margin-right: 0.111em; }
mjx-container [rspace="2"] { margin-right: 0.167em; }
mjx-container [rspace="3"] { margin-right: 0.222em; }
mjx-container [rspace="4"] { margin-right: 0.278em; }
mjx-container [rspace="5"] { margin-right: 0.333em; }
mjx-container [size="s"] { font-size: 70.7%; }
mjx-container [size="ss"] { font-size: 50%; }
mjx-container [size="Tn"] { font-size: 60%; }
mjx-container [size="sm"] { font-size: 85%; }
mjx-container [size="lg"] { font-size: 120%; }
mjx-container [size="Lg"] { font-size: 144%; }
mjx-container [size="LG"] { font-size: 173%; }
mjx-container [size="hg"] { font-size: 207%; }
mjx-container [size="HG"] { font-size: 249%; }
mjx-container [width="full"] { width: 100%; }
mjx-box { display: inline-block; }
mjx-block { display: block; }
mjx-itable { display: inline-table; }
mjx-row { display: table-row; }
mjx-row > * { display: table-cell; }
mjx-mtext { display: inline-block; }
mjx-mstyle { display: inline-block; }
mjx-merror { display: inline-block; color: red; background-color: yellow; }
mjx-mphantom { visibility: hidden; }
mjx-assistive-mml { top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); user-select:
none; position: absolute !important; padding: 1px 0px 0px !important; border: 0px !important; display: block !important; width: auto !important; overflow: hidden !important; }
mjx-assistive-mml[display="block"] { width: 100% !important; }
mjx-c::before { display: block; width: 0px; }
.MJX-TEX { font-family: MJXZERO, MJXTEX; }
.TEX-B { font-family: MJXZERO, MJXTEX-B; }
.TEX-I { font-family: MJXZERO, MJXTEX-I; }
.TEX-MI { font-family: MJXZERO, MJXTEX-MI; }
.TEX-BI { font-family: MJXZERO, MJXTEX-BI; }
.TEX-S1 { font-family: MJXZERO, MJXTEX-S1; }
.TEX-S2 { font-family: MJXZERO, MJXTEX-S2; }
.TEX-S3 { font-family: MJXZERO, MJXTEX-S3; }
.TEX-S4 { font-family: MJXZERO, MJXTEX-S4; }
.TEX-A { font-family: MJXZERO, MJXTEX-A; }
.TEX-C { font-family: MJXZERO, MJXTEX-C; }
.TEX-CB { font-family: MJXZERO, MJXTEX-CB; }
.TEX-FR { font-family: MJXZERO, MJXTEX-FR; }
.TEX-FRB { font-family: MJXZERO, MJXTEX-FRB; }
.TEX-SS { font-family: MJXZERO, MJXTEX-SS; }
.TEX-SSB { font-family: MJXZERO, MJXTEX-SSB; }
.TEX-SSI { font-family: MJXZERO, MJXTEX-SSI; }
.TEX-SC { font-family: MJXZERO, MJXTEX-SC; }
.TEX-T { font-family: MJXZERO, MJXTEX-T; }
.TEX-V { font-family: MJXZERO, MJXTEX-V; }
.TEX-VB { font-family: MJXZERO, MJXTEX-VB; }
mjx-stretchy-v mjx-c, mjx-stretchy-h mjx-c { font-family: MJXZERO, MJXTEX-S1, MJXTEX-S4, MJXTEX, MJXTEX-A !important; }
@font-face { font-family: MJXZERO; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Zero.woff") format("woff"); }
@font-face { font-family: MJXTEX; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-B; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Bold.woff") format("woff"); }
@font-face { font-family: MJXTEX-I; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Math-Italic.woff") format("woff"); }
@font-face { font-family: MJXTEX-MI; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Italic.woff") format("woff"); }
@font-face { font-family: MJXTEX-BI; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Math-BoldItalic.woff") format("woff"); }
@font-face { font-family: MJXTEX-S1; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size1-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-S2; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size2-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-S3; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size3-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-S4; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Size4-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-A; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_AMS-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-C; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Calligraphic-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-CB; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Calligraphic-Bold.woff") format("woff"); }
@font-face { font-family: MJXTEX-FR; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Fraktur-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-FRB; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Fraktur-Bold.woff") format("woff"); }
@font-face { font-family: MJXTEX-SS; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-SSB; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Bold.woff") format("woff"); }
@font-face { font-family: MJXTEX-SSI; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_SansSerif-Italic.woff") format("woff"); }
@font-face { font-family: MJXTEX-SC; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Script-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-T; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Typewriter-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-V; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Vector-Regular.woff") format("woff"); }
@font-face { font-family: MJXTEX-VB; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Vector-Bold.woff") format("woff"); }
@charset "utf-8";
@charset "utf-8";
@charset "utf-8";
[data-tooltip-container] { z-index: 1070; }
[data-popper-arrow], [data-popper-arrow]::before { position: absolute; width: 0.5rem; height: 0.5rem; z-index: -10; }
[data-popper-arrow]::before { content: ""; transform: rotate(45deg); background-color: currentcolor; }
[data-tooltip-container][data-popper-placement^="bottom"] [data-popper-arrow] { top: calc(-0.25rem); }
[data-tooltip-container][data-popper-placement^="top"] [data-popper-arrow] { bottom: calc(-0.25rem); }
[data-tooltip-container][data-popper-placement^="left"] [data-popper-arrow] { right: calc(-0.25rem); }
[data-tooltip-container][data-popper-placement^="right"] [data-popper-arrow] { left: calc(-0.25rem); }
@charset "utf-8";
.kori-notification-root.svelte-16q9ok5 { will-change: transform, opacity; -webkit-tap-highlight-color: transparent; }
.kori-notification-bar.svelte-16q9ok5::-webkit-progress-bar { background: transparent; }
.kori-notification-bar.svelte-16q9ok5::-webkit-progress-value { background: currentcolor; }
@charset "utf-8";
@charset "utf-8";
@charset "utf-8";
@charset "utf-8";
@charset "utf-8";
@charset "utf-8";
@charset "utf-8";
@import url("https://fonts.googleapis.com/css2?family=Poppins");
html { position: relative; top: 0px; left: 0px; overflow: hidden auto; height: auto; }
body { display: flex; flex-direction: column; min-height: 100vh; }
#svelte { flex: 1 1 0%; display: flex; flex-direction: column; }
.math-tex { overflow: hidden; }
@charset "utf-8";
@font-face { font-family: Poppins; font-style: normal; font-weight: 400; src: url("https://fonts.gstatic.com/s/poppins/v20/pxiEyp8kv8JHgFVrJJbecmNE.woff2") format("woff2"); unicode-range: U+900-97F, U+1CD0-1CF6, U+1CF8-1CF9, U+200C-200D, U+20A8, U+20B9, U+25CC, U+A830-A839, U+A8E0-A8FB; }
@font-face { font-family: Poppins; font-style: normal; font-weight: 400; src: url("https://fonts.gstatic.com/s/poppins/v20/pxiEyp8kv8JHgFVrJJnecmNE.woff2") format("woff2"); unicode-range: U+100-24F, U+259, U+1E00-1EFF, U+2020, U+20A0-20AB, U+20AD-20CF, U+2113, U+2C60-2C7F, U+A720-A7FF; }
@font-face { font-family: Poppins; font-style: normal; font-weight: 400; src: url("https://fonts.gstatic.com/s/poppins/v20/pxiEyp8kv8JHgFVrJJfecg.woff2") format("woff2"); unicode-range: U+0-FF, U+131, U+152-153, U+2BB-2BC, U+2C6, U+2DA, U+2DC, U+2000-206F, U+2074, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD; }
@charset "utf-8";
.root.svelte-1syhhgw img { cursor: pointer; }
@charset "utf-8";
.goog-te-banner-frame { left: 0px; top: 0px; height: 39px; width: 100%; z-index: 10000001; position: fixed; border-top: none; border-right: none; border-left: none; border-image: initial; border-bottom: 1px solid rgb(107, 144, 218); margin: 0px; box-shadow: rgb(153, 153, 153) 0px 0px 8px 1px; }
.goog-te-menu-frame { z-index: 10000002;
position: fixed; border: none; box-shadow: rgb(153, 153, 153) 0px 3px 8px 2px; }
.goog-te-ftab-frame { z-index: 10000000; border: none; margin: 0px; }
.goog-te-gadget { font-family: arial; font-size: 11px; color: rgb(102, 102, 102); white-space: nowrap; }
.goog-te-gadget img { vertical-align: middle; border: none; }
.goog-te-gadget-simple { background-color: rgb(255, 255, 255); border-width: 1px; border-style: solid; border-color: rgb(155, 155, 155) rgb(213, 213, 213) rgb(232, 232, 232); font-size: 10pt; display: inline-block; padding-top: 1px; padding-bottom: 2px; cursor: pointer; zoom: 1; }
.goog-te-gadget-icon { margin-left: 2px; margin-right: 2px; width: 19px; height: 19px; border: none; vertical-align: middle; }
.goog-te-combo { margin-left: 4px; margin-right: 4px; vertical-align: baseline; }
.goog-te-gadget .goog-te-combo { margin: 4px 0px; }
.goog-logo-link, .goog-logo-link:link, .goog-logo-link:visited, .goog-logo-link:hover, .goog-logo-link:active { font-size: 12px; font-weight: bold; color: rgb(68, 68, 68); text-decoration: none; }
.goog-te-banner .goog-logo-link, .goog-close-link { display: block; margin: 0px 10px; }
.goog-te-banner .goog-logo-link { padding-top: 2px; padding-left: 4px; }
.goog-te-combo, .goog-te-banner *, .goog-te-ftab *, .goog-te-menu *, .goog-te-menu2 *, .goog-te-balloon * { font-family: arial; font-size: 10pt; }
.goog-te-banner { margin: 0px; background-color: rgb(228, 239, 251); overflow: hidden; }
.goog-te-banner img { border: none; }
.goog-te-banner-content { color: rgb(0, 0, 0); }
.goog-te-banner-content img { vertical-align: middle; }
.goog-te-banner-info { color: rgb(102, 102, 102); vertical-align: top; margin-top: 0px; font-size: 7pt; }
.goog-te-banner-margin { width: 8px; }
.goog-te-button { border-color: rgb(231, 231, 231); border-style: none solid solid none; border-width: 0px 1px 1px 0px; }
.goog-te-button div { border-color: rgb(204, 204, 204) rgb(153, 153, 153) rgb(153, 153, 153) rgb(204, 204, 204); border-style: solid; border-width: 1px; height: 20px; }
.goog-te-button button { background: transparent; border: none; cursor: pointer; height: 20px; overflow: hidden; margin: 0px; vertical-align: top; white-space: nowrap; }
.goog-te-button button:active { background: none 0px 0px repeat scroll rgb(204, 204, 204); }
.goog-te-ftab { margin: 0px; background-color: rgb(255, 255, 255); white-space: nowrap; }
.goog-te-ftab-link { text-decoration: none; font-weight: bold; font-size: 10pt; border: 1px outset rgb(136, 136, 136); padding: 6px 10px; white-space: nowrap; position: absolute; left: 0px; top: 0px; }
.goog-te-ftab-link img { margin-left: 2px; margin-right: 2px; width: 19px; height: 19px; border: none; vertical-align: middle; }
.goog-te-ftab-link span { text-decoration: underline; margin-left: 2px; margin-right: 2px; vertical-align: middle; }
.goog-float-top .goog-te-ftab-link { padding: 2px; border-top-width: 0px; }
.goog-float-bottom .goog-te-ftab-link { padding: 2px; border-bottom-width: 0px; }
.goog-te-menu-value { text-decoration: none; color: rgb(0, 0, 204); white-space: nowrap; margin-left: 4px; margin-right: 4px; }
.goog-te-menu-value span { text-decoration: underline; }
.goog-te-menu-value img { margin-left: 2px; margin-right: 2px; }
.goog-te-gadget-simple .goog-te-menu-value { color: rgb(0, 0, 0); }
.goog-te-gadget-simple .goog-te-menu-value span { text-decoration: none; }
.goog-te-menu { background-color: rgb(255, 255, 255); text-decoration: none; border: 2px solid rgb(195, 217, 255); overflow: hidden scroll; position: absolute; left: 0px; top: 0px; }
.goog-te-menu-item { padding: 3px; text-decoration: none; }
.goog-te-menu-item, .goog-te-menu-item:link { color: rgb(0, 0, 204); background: rgb(255, 255, 255); }
.goog-te-menu-item:visited { color: rgb(85, 26, 139); }
.goog-te-menu-item:hover { background: rgb(195, 217, 255); }
.goog-te-menu-item:active { color: rgb(0, 0, 204); }
.goog-te-menu2 { background-color: rgb(255, 255, 255); text-decoration: none; border: 1px solid rgb(107, 144, 218); overflow: hidden; padding: 4px; }
.goog-te-menu2-colpad { width: 16px; }
.goog-te-menu2-separator { margin: 6px 0px; height: 1px; background-color: rgb(170, 170, 170); overflow: hidden; }
.goog-te-menu2-item div, .goog-te-menu2-item-selected div { padding: 4px; }
.goog-te-menu2-item .indicator { display: none; }
.goog-te-menu2-item-selected .indicator { }
.goog-te-menu2-item-selected .text { padding-left: 4px; padding-right: 4px; }
.goog-te-menu2-item, .goog-te-menu2-item-selected { text-decoration: none; }
.goog-te-menu2-item div, .goog-te-menu2-item:link div, .goog-te-menu2-item:visited div, .goog-te-menu2-item:active div { color: rgb(0, 0, 204); background: rgb(255, 255, 255); }
.goog-te-menu2-item:hover div { color: rgb(255, 255, 255); background: rgb(51, 102, 204); }
.goog-te-menu2-item-selected div, .goog-te-menu2-item-selected:link div, .goog-te-menu2-item-selected:visited div, .goog-te-menu2-item-selected:hover div, .goog-te-menu2-item-selected:active div { color: rgb(0, 0, 0); font-weight: bold; }
.goog-te-balloon { background-color: rgb(255, 255, 255); overflow: hidden; padding: 8px; border: none; border-radius: 10px; }
.goog-te-balloon-frame { background-color: rgb(255, 255, 255); border: 1px solid rgb(107, 144, 218); box-shadow: rgb(153, 153, 153) 0px 3px 8px 2px; border-radius: 8px; }
.goog-te-balloon img { border: none; }
.goog-te-balloon-text { margin-top: 6px; }
.goog-te-balloon-zippy { margin-top: 6px; white-space: nowrap; }
.goog-te-balloon-zippy * { vertical-align: middle; }
.goog-te-balloon-zippy .minus { background-image: url("//www.google.com/images/zippy_minus_sm.gif"); }
.goog-te-balloon-zippy .plus { background-image: url("//www.google.com/images/zippy_plus_sm.gif"); }
.goog-te-balloon-zippy span { color: rgb(0, 0, 204); text-decoration: underline; cursor: pointer; margin: 0px 4px; }
.goog-te-balloon-form { margin: 6px 0px 0px; }
.goog-te-balloon-form form { margin: 0px; }
.goog-te-balloon-form form textarea { margin-bottom: 4px; width: 100%; }
.goog-te-balloon-footer { margin: 6px 0px 4px; }
.goog-te-spinner-pos { z-index: 1000; position: fixed; transition-delay: 0.6s; left: -1000px; top: -1000px; }
.goog-te-spinner-animation { display: flex; align-items: center; justify-content: center; width: 104px; height: 104px; border-radius: 50px; background: url("//www.gstatic.com/images/branding/product/2x/translate_24dp.png") 50% 50% no-repeat rgb(255, 255, 255); transition: all 0.6s ease-in-out 0s; transform: scale(0.4); opacity: 0; }
.goog-te-spinner-animation-show { transform: scale(0.5); opacity: 1; }
.goog-te-spinner { margin: 2px 0px 0px 2px; animation: 1.4s linear 0s infinite normal none running goog-te-spinner-rotator; }
@keyframes goog-te-spinner-rotator { 
 0% { transform: rotate(0deg); }
 100% { transform: rotate(270deg); }
}
.goog-te-spinner-path { stroke-dasharray: 187; stroke-dashoffset: 0; stroke: rgb(66, 133, 244); transform-origin: center center; animation: 1.4s ease-in-out 0s infinite normal none running goog-te-spinner-dash; }
@keyframes goog-te-spinner-dash { 
 0% { stroke-dashoffset: 187; }
 50% { stroke-dashoffset: 46.75; transform: rotate(135deg); }
 100% { stroke-dashoffset: 187; transform: rotate(450deg); }
}
#goog-gt-tt html, #goog-gt-tt body, #goog-gt-tt div, #goog-gt-tt span, #goog-gt-tt iframe, #goog-gt-tt h1, #goog-gt-tt h2, #goog-gt-tt h3, #goog-gt-tt h4, #goog-gt-tt h5, #goog-gt-tt h6, #goog-gt-tt p, #goog-gt-tt a, #goog-gt-tt img, #goog-gt-tt ol, #goog-gt-tt ul, #goog-gt-tt li, #goog-gt-tt table, #goog-gt-tt form, #goog-gt-tt tbody, #goog-gt-tt tr, #goog-gt-tt td { margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; font-size: inherit; font-family: inherit; vertical-align: baseline; text-align: left; line-height:
normal; }
#goog-gt-tt ol, #goog-gt-tt ul { list-style: none; }
#goog-gt-tt table { border-collapse: collapse; border-spacing: 0px; }
#goog-gt-tt caption, #goog-gt-tt th, #goog-gt-tt td { text-align: left; font-weight: normal; }
div#goog-gt-tt { padding: 10px 14px; }
#goog-gt-tt { color: rgb(34, 34, 34); background-color: rgb(255, 255, 255); border: 1px solid rgb(238, 238, 238); box-shadow: rgba(0, 0, 0, 0.2) 0px 4px 16px; display: none; font-family: arial; font-size: 10pt; width: 420px; padding: 12px; position: absolute; z-index: 10000; }
#goog-gt-tt .original-text, .gt-hl-layer { clear: both; font-size: 10pt; position: relative; text-align: justify; width: 100%; }
#goog-gt-tt .title { color: rgb(153, 153, 153); font-family: arial, sans-serif; margin: 4px 0px; text-align: left; }
#goog-gt-tt .close-button { display: none; }
#goog-gt-tt .logo { float: left; margin: 0px; }
#goog-gt-tt .activity-links { display: inline-block; }
#goog-gt-tt .started-activity-container { display: none; width: 100%; }
#goog-gt-tt .activity-root { margin-top: 20px; }
#goog-gt-tt .left { float: left; }
#goog-gt-tt .right { float: right; }
#goog-gt-tt .bottom { min-height: 15px; position: relative; height: 1%; }
#goog-gt-tt .status-message { background: rgb(41, 145, 13); border-radius: 4px; box-shadow: rgb(30, 102, 9) 0px 2px 2px inset; color: white; font-size: 9pt; font-weight: bolder; margin-top: 12px; padding: 6px; text-shadow: rgb(30, 102, 9) 1px 1px 1px; }
#goog-gt-tt .activity-link { color: rgb(17, 85, 204); cursor: pointer; font-family: arial; font-size: 11px; margin-right: 15px; text-decoration: none; }
#goog-gt-tt textarea { font-family: arial; resize: vertical; width: 100%; margin-bottom: 10px; border-radius: 1px; border-width: 1px; border-style: solid; border-color: silver rgb(217, 217, 217) rgb(217, 217, 217); border-image: initial; font-size: 13px; height: auto; overflow-y: auto; padding: 1px; }
#goog-gt-tt textarea:focus { box-shadow: rgba(0, 0, 0, 0.3) 0px 1px 2px inset; border: 1px solid rgb(77, 144, 254); outline: none; }
#goog-gt-tt .activity-cancel { margin-right: 10px; }
#goog-gt-tt .translate-form { min-height: 25px; vertical-align: middle; padding-top: 8px; }
#goog-gt-tt .translate-form .activity-form { margin-bottom: 0px; }
#goog-gt-tt .translate-form .activity-form input { display: inline-block; min-width: 54px; border: 1px solid rgba(0, 0, 0, 0.1); text-align: center; color: rgb(68, 68, 68); font-size: 11px; font-weight: bold; height: 27px; outline: 0px; padding: 0px 8px; vertical-align: middle; line-height: 27px; margin: 0px 16px 0px 0px; box-shadow: rgba(0, 0, 0, 0.1) 0px 1px 2px; border-radius: 2px; transition: all 0.218s ease 0s; background-color: rgb(245, 245, 245); background-image: -webkit-linear-gradient(top, rgb(245, 245, 245), rgb(241, 241, 241)); user-select: none; cursor: default; }
#goog-gt-tt .translate-form .activity-form input:hover { border: 1px solid rgb(198, 198, 198); color: rgb(34, 34, 34); transition: all 0s ease 0s; background-color: rgb(248, 248, 248); background-image: -webkit-linear-gradient(top, rgb(248, 248, 248), rgb(241, 241, 241)); }
#goog-gt-tt .translate-form .activity-form input:active { border: 1px solid rgb(198, 198, 198); color: rgb(51, 51, 51); background-color: rgb(246, 246, 246); background-image: -webkit-linear-gradient(top, rgb(246, 246, 246), rgb(241, 241, 241)); }
#goog-gt-tt .translate-form .activity-form input:focus, #goog-gt-tt .translate-form .activity-form input.focus { outline: none; border: 1px solid rgb(77, 144, 254); z-index: 4 !important; }
#goog-gt-tt .translate-form .activity-form input.selected { background-color: rgb(238, 238, 238); background-image: -webkit-linear-gradient(top, rgb(238, 238, 238), rgb(224, 224, 224)); box-shadow: rgba(0, 0, 0, 0.1) 0px 1px 2px inset; border: 1px solid rgb(204, 204, 204); color: rgb(51, 51, 51); }
#goog-gt-tt .translate-form .activity-form input.activity-submit { color: white; border-color: rgb(48, 121, 237); background-color: rgb(77, 144, 254); background-image: -webkit-linear-gradient(top, rgb(77, 144, 254), rgb(71, 135, 237)); }
#goog-gt-tt .translate-form .activity-form input.activity-submit:hover #goog-gt-tt .translate-form .activity-form input.activity-submit:focus, #goog-gt-tt .translate-form .activity-form input.activity-submit.focus #goog-gt-tt .translate-form .activity-form input.activity-submit:active { border-color: rgb(48, 121, 237); background-color: rgb(53, 122, 232); background-image: -webkit-linear-gradient(top, rgb(77, 144, 254), rgb(53, 122, 232)); }
#goog-gt-tt .translate-form .activity-form input.activity-submit:hover { box-shadow: rgb(255, 255, 255) 0px 0px 0px 1px inset, rgba(0, 0, 0, 0.1) 0px 1px 1px; }
#goog-gt-tt .translate-form .activity-form input:focus, #goog-gt-tt .translate-form .activity-form input.focus, #goog-gt-tt .translate-form .activity-form input:active, #goog-gt-tt .translate-form .activity-form input:hover, #goog-gt-tt .translate-form .activity-form input.activity-submit:focus, #goog-gt-tt .translate-form .activity-form input.activity-submit.focus, #goog-gt-tt .translate-form .activity-form input.activity-submit:active, #goog-gt-tt .translate-form .activity-form input.activity-submit:hover { border-color: rgb(48, 121, 237); }
#goog-gt-tt .gray { color: rgb(153, 153, 153); font-family: arial, sans-serif; }
#goog-gt-tt .alt-helper-text { color: rgb(153, 153, 153); font-size: 11px; font-family: arial, sans-serif; margin: 15px 0px 5px; }
#goog-gt-tt .alt-error-text { color: rgb(136, 0, 0); display: none; font-size: 9pt; }
.goog-text-highlight { background-color: rgb(201, 215, 241); box-shadow: rgb(153, 153, 170) 2px 2px 4px; box-sizing: border-box; position: relative; }
#goog-gt-tt .alt-menu.goog-menu { background: rgb(255, 255, 255); border: 1px solid rgb(221, 221, 221); box-shadow: rgb(153, 153, 170) 0px 2px 4px; min-width: 0px; outline: none; padding: 0px; position: absolute; z-index: 2000; }
#goog-gt-tt .alt-menu .goog-menuitem { cursor: pointer; padding: 2px 5px 5px; margin-right: 0px; border-style: none; }
#goog-gt-tt .alt-menu div.goog-menuitem:hover { background: rgb(221, 221, 221); }
#goog-gt-tt .alt-menu .goog-menuitem h1 { font-size: 100%; font-weight: bold; margin: 4px 0px; }
#goog-gt-tt .alt-menu .goog-menuitem strong { color: rgb(52, 90, 173); }
#goog-gt-tt .goog-submenu-arrow { text-align: right; position: absolute; right: 0px; left: auto; }
#goog-gt-tt .goog-menuitem-rtl .goog-submenu-arrow { text-align: left; position: absolute; left: 0px; right: auto; }
#goog-gt-tt .gt-hl-text, #goog-gt-tt .trans-target-highlight { background-color: rgb(241, 234, 0); border-radius: 4px; box-shadow: rgba(0, 0, 0, 0.5) 3px 3px 4px; box-sizing: border-box; color: rgb(241, 234, 0); cursor: pointer; margin: -2px -2px -2px -3px; padding: 2px 2px 2px 3px; position: relative; }
#goog-gt-tt .trans-target-highlight { color: rgb(34, 34, 34); }
#goog-gt-tt .gt-hl-layer { color: white; position: absolute !important; }
#goog-gt-tt .trans-target, #goog-gt-tt .trans-target .trans-target-highlight { background-color: rgb(201, 215, 241); border-radius: 4px 4px 0px 0px; box-shadow: rgba(0, 0, 0, 0.5) 3px 3px 4px; box-sizing: border-box; cursor: pointer; margin: -2px -2px -2px -3px; padding: 2px 2px 3px 3px; position: relative; }
#goog-gt-tt span:focus { outline: none; }
#goog-gt-tt .trans-edit { background-color: transparent; border: 1px solid rgb(77, 144, 254); border-radius: 0em; margin: -2px; padding: 1px; }
#goog-gt-tt .gt-trans-highlight-l { border-left: 2px solid red; margin-left: -2px; }
#goog-gt-tt .gt-trans-highlight-r { border-right: 2px solid red; margin-right: -2px; }
#goog-gt-tt #alt-input { padding: 2px; }
#goog-gt-tt #alt-input-text { font-size: 11px; padding: 2px 2px 3px; margin: 0px; background-color: rgb(255, 255, 255); color: rgb(51, 51, 51); border-width: 1px; border-style: solid; border-color: rgb(192, 192, 192)
rgb(217, 217, 217) rgb(217, 217, 217); border-image: initial; display: inline-block; vertical-align: top; height: 21px; box-sizing: border-box; border-radius: 1px; }
#goog-gt-tt #alt-input-text:hover { border-width: 1px; border-style: solid; border-color: rgb(160, 160, 160) rgb(185, 185, 185) rgb(185, 185, 185); border-image: initial; box-shadow: rgba(0, 0, 0, 0.1) 0px 1px 2px inset; }
#goog-gt-tt #alt-input-text:focus { box-shadow: rgba(0, 0, 0, 0.3) 0px 1px 2px inset; outline: none; border: 1px solid rgb(77, 144, 254); }
#goog-gt-tt #alt-input-submit { font-size: 11px; padding: 2px 6px 3px; margin: 0px 0px 0px 2px; height: 21px; }

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