{"id":178,"date":"2026-10-03T17:25:33","date_gmt":"2026-10-03T16:25:33","guid":{"rendered":"https:\/\/wpcalc.com\/pt\/teorema-chines-do-resto\/"},"modified":"2026-10-03T17:25:33","modified_gmt":"2026-10-03T16:25:33","slug":"teorema-chines-do-resto","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pt\/matematica\/teorema-chines-do-resto\/","title":{"rendered":"Calculadora do Teorema Chin\u00eas do Resto"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Resolvedor do Teorema Chin\u00eas do Resto<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"178\" data-favorite-title=\"Teorema Chin\u00eas do Resto\" data-favorite-url=\"https:\/\/wpcalc.com\/pt\/matematica\/teorema-chines-do-resto\/\" data-favorite-excerpt=\"Resolve um sistema de congru\u00eancias simult\u00e2neas usando o Teorema Chin\u00eas do Resto. Introduza os restos e os m\u00f3dulos coprimos dois a dois para obter a menor solu\u00e7\u00e3o n\u00e3o negativa.\" aria-label=\"Adicionar aos favoritos\" data-favorite-icon=\"icon icon-arithmetic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/pt\/matematica\/teorema-chines-do-resto\/\" method=\"POST\" class=\"calculator\" id=\"calculator-178\" data-post=\"178\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Campos de entrada<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">N\u00famero de congru\u00eancias<\/label><input type=\"text\" name=\"nmero_de_congruncias\" id=\"field-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"2\" value=\"2\"\/><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">resto 1<\/label><div class=\"term\">a\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"resto_1\" id=\"field-2\" step=\"any\" value=\"2\"\/><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">m\u00f3dulo 1<\/label><div class=\"term\">n\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"mdulo_1\" id=\"field-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"3\"\/><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">resto 2<\/label><div class=\"term\">a\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"resto_2\" id=\"field-4\" step=\"any\" value=\"3\"\/><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">m\u00f3dulo 2<\/label><div class=\"term\">n\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"mdulo_2\" id=\"field-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"5\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Recalcular\" id=\"calculate-button\" data-post=\"178\">Calcular<\/button><button type=\"reset\">Redefinir<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calcular automaticamente<\/label><small>Se ativado, o resultado \u00e9 atualizado automaticamente quando voc\u00ea altera qualquer valor.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Seus resultados<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Menor solu\u00e7\u00e3o n\u00e3o negativa<\/span><span class=\"result-term\">x<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>M\u00f3dulo (MMC dos m\u00f3dulos)<\/span><span class=\"result-term\">N<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copiar link para este c\u00e1lculo<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Deixar um coment\u00e1rio<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"178\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">O que voc\u00ea achou deste resultado?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Curti <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">\u00datil <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confuso <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Decepcionado <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Impreciso <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>F\u00f3rmula do Teorema Chin\u00eas do Resto<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">F\u00f3rmula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ x \\equiv a_1 \\pmod{n_1} \\\\ x \\equiv a_2 \\pmod{n_2} \\\\ \\vdots \\\\ x \\equiv a_k \\pmod{n_k} \\\\[1.5em] N = n_1 \\cdot n_2 \\cdots n_k, \\quad N_i = \\frac{N}{n_i}, \\quad y_i \\equiv N_i^{-1} \\pmod{n_i} \\\\[1.5em] x \\equiv \\sum_{i=1}^{k} a_i \\, N_i \\, y_i \\pmod{N} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Onde:<\/strong><\/p>\n<ul>\n<li>\\(a_i\\) \u2014 os restos (os valores aos quais \\(x\\) deve ser congruente)<\/li>\n<li>\\(n_i\\) \u2014 os m\u00f3dulos, que devem ser coprimos dois a dois (o m\u00e1ximo divisor comum de quaisquer dois deles \u00e9 1)<\/li>\n<li>\\(N\\) \u2014 o produto de todos os m\u00f3dulos, que coincide com o m\u00ednimo m\u00faltiplo comum quando eles s\u00e3o coprimos<\/li>\n<li>\\(N_i\\) \u2014 o produto de todos os m\u00f3dulos exceto \\(n_i\\)<\/li>\n<li>\\(y_i\\) \u2014 o inverso modular de \\(N_i\\) m\u00f3dulo \\(n_i\\), ou seja, o n\u00famero tal que \\(N_i y_i \\equiv 1 \\pmod{n_i}\\)<\/li>\n<li>\\(x\\) \u2014 a solu\u00e7\u00e3o \u00fanica m\u00f3dulo \\(N\\)<\/li>\n<\/ul>\n<p>O teorema afirma que, quando os m\u00f3dulos s\u00e3o coprimos dois a dois, o sistema tem exatamente uma solu\u00e7\u00e3o no intervalo \\(0 \\le x &lt; N\\). A f\u00f3rmula constr\u00f3i essa solu\u00e7\u00e3o combinando cada resto com o inverso do produto parcial correspondente.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Teorema Chin\u00eas do Resto \u2013 Exemplo de C\u00e1lculo<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Exemplo:<\/strong> encontrar \\(x\\) tal que \\(x \\equiv 2 \\pmod{3}\\) e \\(x \\equiv 3 \\pmod{5}\\) \u2014 estes s\u00e3o os valores predefinidos da calculadora.<\/p>\n<p>\\[ N = 3 \\times 5 = 15 \\]<\/p>\n<p>\\[ N_1 = \\frac{15}{3} = 5, \\quad y_1 = 2 \\; (\\text{pois } 5 \\cdot 2 = 10 \\equiv 1 \\pmod{3}) \\]<\/p>\n<p>\\[ N_2 = \\frac{15}{5} = 3, \\quad y_2 = 2 \\; (\\text{pois } 3 \\cdot 2 = 6 \\equiv 1 \\pmod{5}) \\]<\/p>\n<p>\\[ x \\equiv (2 \\cdot 5 \\cdot 2) + (3 \\cdot 3 \\cdot 2) \\pmod{15} \\equiv 20 + 18 = 38 \\equiv 8 \\pmod{15} \\]<\/p>\n<p><strong>Resultado:<\/strong> \\(x = 8\\) m\u00f3dulo \\(15\\). De fato, \\(8 \\div 3 = 2\\) com resto \\(2\\) e \\(8 \\div 5 = 1\\) com resto \\(3\\), logo ambas as congru\u00eancias s\u00e3o satisfeitas. A pr\u00f3xima solu\u00e7\u00e3o \u00e9 \\(8 + 15 = 23\\), depois \\(38\\), e assim por diante.<\/p>\n<p>\n\r\n<\/section>\n<h2>Como Usar a Calculadora<\/h2>\n<ol>\n<li>Introduza o <strong>N\u00famero de congru\u00eancias<\/strong> (no m\u00ednimo 2). Mais pares resto\/m\u00f3dulo aparecem automaticamente.<\/li>\n<li>Para a primeira congru\u00eancia, digite o resto em <strong>resto 1<\/strong> (\\(a_1\\)) e o m\u00f3dulo em <strong>m\u00f3dulo 1<\/strong> (\\(n_1\\)).<\/li>\n<li>Repita para <strong>resto 2<\/strong> \/ <strong>m\u00f3dulo 2<\/strong> e quaisquer pares adicionais.<\/li>\n<li>Leia a <strong>Menor solu\u00e7\u00e3o n\u00e3o negativa<\/strong> \\(x\\) e o <strong>M\u00f3dulo (MMC dos m\u00f3dulos)<\/strong> \\(N\\). Todo n\u00famero da forma \\(x + kN\\) (\\(k = 0, 1, 2, \\dots\\)) tamb\u00e9m satisfaz o sistema.<\/li>\n<\/ol>\n<h2>O Que \u00c9 o Teorema Chin\u00eas do Resto?<\/h2>\n<p>O Teorema Chin\u00eas do Resto (TCR) \u00e9 um resultado cl\u00e1ssico da teoria dos n\u00fameros, descrito pela primeira vez pelo matem\u00e1tico chin\u00eas Sunzi por volta dos s\u00e9culos III\u2013V d.C. Ele responde \u00e0 pergunta: dados v\u00e1rios divisores e os restos deixados ao dividir um n\u00famero desconhecido por cada um deles, \u00e9 poss\u00edvel recuperar o n\u00famero? O teorema diz que sim \u2014 desde que os m\u00f3dulos sejam coprimos dois a dois \u2014 e a resposta \u00e9 \u00fanica dentro de um intervalo cujo comprimento \u00e9 o produto de todos os m\u00f3dulos.<\/p>\n<p>Uma forma concreta de visualizar: se um cesto cont\u00e9m \\(x\\) ovos, e cont\u00e1-los de 3 em 3 deixa 2, enquanto cont\u00e1-los de 5 em 5 deixa 3, ent\u00e3o \\(x \\equiv 2 \\pmod{3}\\) e \\(x \\equiv 3 \\pmod{5}\\). O TCR determina \\(x\\) de forma \u00fanica m\u00f3dulo 15 \u2014 neste caso, \\(x = 8, 23, 38, \\dots\\)<\/p>\n<p>O teorema \u00e9 importante porque mostra que um sistema de muitas congru\u00eancias pequenas \u00e9 equivalente a uma \u00fanica congru\u00eancia com um m\u00f3dulo grande. Isso permite substituir a aritm\u00e9tica com um m\u00f3dulo enorme por uma aritm\u00e9tica paralela com v\u00e1rios m\u00f3dulos pequenos e convenientes, e depois recombinar os resultados. A etapa de recombina\u00e7\u00e3o usa inversos modulares, que voc\u00ea pode calcular separadamente com a calculadora de <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/inverso-multiplicativo-modulo\/\">Inverso Multiplicativo Modular<\/a>; inversos desse tipo tamb\u00e9m est\u00e3o relacionados ao <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/pequeno-teorema-de-fermat\/\">Pequeno Teorema de Fermat<\/a> e ao <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/teorema-de-euler\/\">Teorema de Euler<\/a>.<\/p>\n<h2>Interpretando o Resultado<\/h2>\n<p>A calculadora devolve a menor solu\u00e7\u00e3o n\u00e3o negativa \\(x\\) e o m\u00f3dulo combinado \\(N\\). O conjunto completo de solu\u00e7\u00f5es \u00e9 \\(x, x + N, x + 2N, \\dots\\), e se respostas negativas fizerem sentido no seu problema, \\(x - N\\) e valores menores tamb\u00e9m servem. Como a solu\u00e7\u00e3o \u00e9 \u00fanica m\u00f3dulo \\(N\\), duas entradas diferentes que produzam o mesmo \\(x \\pmod{N}\\) descrevem exatamente o mesmo sistema.<\/p>\n<h2>Hip\u00f3teses e Limita\u00e7\u00f5es<\/h2>\n<ul>\n<li><strong>\u00c9 necess\u00e1rio que os m\u00f3dulos sejam coprimos dois a dois.<\/strong> Cada par de m\u00f3dulos n\u00e3o pode ter nenhum fator comum maior que 1; caso contr\u00e1rio, a calculadora reporta um erro. Se dois m\u00f3dulos forem, por exemplo, 4 e 6 (ambos divis\u00edveis por 2), o sistema pode n\u00e3o ter solu\u00e7\u00e3o alguma, ou ter v\u00e1rias solu\u00e7\u00f5es m\u00f3dulo o seu MMC.<\/li>\n<li><strong>Consist\u00eancia do sistema.<\/strong> Mesmo com m\u00f3dulos coprimos, o teorema sempre fornece uma solu\u00e7\u00e3o \u2014 essa \u00e9 a for\u00e7a do TCR. Conflitos entre congru\u00eancias s\u00f3 podem surgir quando a condi\u00e7\u00e3o de coprimalidade \u00e9 violada.<\/li>\n<li><strong>Os restos podem exceder o m\u00f3dulo.<\/strong> Uma entrada como \\(a = 7, n = 5\\) \u00e9 tratada como \\(7 \\equiv 2 \\pmod 5\\); a calculadora reduz automaticamente a resposta final m\u00f3dulo \\(N\\).<\/li>\n<li><strong>Os m\u00f3dulos devem ser inteiros positivos.<\/strong> Valores 0 ou negativos s\u00e3o rejeitados.<\/li>\n<li><strong>Sistemas grandes.<\/strong> Como \\(N\\) \u00e9 o produto de todos os m\u00f3dulos, ele cresce muito rapidamente. Com muitos m\u00f3dulos, os n\u00fameros envolvidos podem exceder a faixa em que a aritm\u00e9tica de ponto flutuante padr\u00e3o \u00e9 exata.<\/li>\n<\/ul>\n<h2>Onde o TCR \u00c9 Utilizado<\/h2>\n<p>Al\u00e9m da teoria dos n\u00fameros pura, o TCR \u00e9 uma ferramenta de trabalho em v\u00e1rias \u00e1reas. Na criptografia, ele acelera a descriptografia RSA calculando o resultado m\u00f3dulo cada fator primo separadamente e recombinando; tamb\u00e9m sustenta esquemas de limiar como o Shamir's Secret Sharing (Compartilhamento de Segredos de Shamir). Na ci\u00eancia da computa\u00e7\u00e3o, ele possibilita sistemas de n\u00fameros residuais que realizam adi\u00e7\u00f5es e multiplica\u00e7\u00f5es em paralelo com m\u00f3dulos pequenos, e aparece em hashing, agendamento e c\u00e1lculos de calend\u00e1rio \u2014 os cl\u00e1ssicos problemas de \"contar soldados por fileiras\" que motivaram originalmente o trabalho de Sunzi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Resolve um sistema de congru\u00eancias simult\u00e2neas usando o Teorema Chin\u00eas do Resto. Introduza os restos e os m\u00f3dulos coprimos dois a dois para obter a menor solu\u00e7\u00e3o n\u00e3o negativa.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[19],"class_list":["post-178","post","type-post","status-publish","format-standard","hentry","category-matematica","tag-calculadoras-aritmetica"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/178","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/comments?post=178"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/178\/revisions"}],"predecessor-version":[{"id":1298,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/178\/revisions\/1298"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/media?parent=178"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/categories?post=178"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/tags?post=178"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}