3f:null 40:["$","title",null,{"children":"Translation Utilities | dvddddddvd | Observable"}] 46:[] 44:{"id":"d4da8ca18f121b38","slug":"copying-from-pdf-utility","title":"Translation Utilities","thumbnail":"3ff7a89658f55480f93f4a78f48cd9bbe9a975f14f694627ebbdd5c60a254fd5","access_level":"public","create_time":"$D2019-01-27T23:27:37.542Z","update_time":"$D2019-07-24T09:38:38.720Z","view_time":null,"first_public_time":"$D2019-01-28T00:10:50.893Z","has_unpublished_edits":null,"fork":false,"stars":0,"starred":false,"owner":{"type":"team","id":"d91cf9d5d5e78dbd","login":"dvddddddvd","name":"","avatar_url":"https://avatars-next.observableusercontent.com/01052e16c2dac9c9e1107403a87a5af8eb09d0420ae855e627936b98b341fe73","tier":"starter_2024","bio":"","following":false},"version":220,"publish_version":220,"role":null,"authored":false,"authors":[{"type":"individual","id":"cbafe6e444553dfa","login":"dvddddddvd","name":"","avatar_url":"https://avatars-next.observableusercontent.com/01052e16c2dac9c9e1107403a87a5af8eb09d0420ae855e627936b98b341fe73","tier":null,"bio":"","following":false}],"members":[{"type":"individual","id":"cbafe6e444553dfa","login":"dvddddddvd","name":"","avatar_url":"https://avatars-next.observableusercontent.com/01052e16c2dac9c9e1107403a87a5af8eb09d0420ae855e627936b98b341fe73","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":1,"collection":null,"type":"notebook","body":{"titling":"auto","title":"Translation Utilities","cells":[{"id":0,"value":"md`# Translation Utilities`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":171,"value":"md`This box removes excessive linebreaks and dashes. Copy from the pdf to this box.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":4,"value":"viewof input = textarea({\n rows: 4,\n wrap: true,\n width: \"100%\",\n value: `Правильный шестиугольник разбит на равные ромбы со сторонами, парал- лельными сторонам шестиугольника. На трёх сторонах шестиугольника, среди ко- торых нет соседних, задали направления в порядке обхода шестиугольника против часовой стрелки. Затем на каждой стороне ромба поставили стрелку, направленную так же, как параллельная этой стороне сторона шестиугольника. Докажите, что не существует замкнутого пути, идущего по стрелкам.`\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":20,"value":"html`${copyingUtil(input)}\n\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":180,"value":"md`This box removes excessive spaces inserted around LaTeX by Google Translate.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":114,"value":"viewof input2 = textarea({\n rows: 3,\n wrap: true,\n width: \"100%\",\n value: `7. On the rectangular checkered board marked $ N $ cells. Let $ a_i $ be the number of marked cells in the $ i $ th row, $ b_j $ be the number of marked cells in the $ j $ th column. Prove that $$ \\\\ prod_i a_i! \\\\ prod_j b_j! \\\\ leqslant N! $$`\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":150,"value":"html`${postTranslateUtil(input2)}\n\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":195,"value":"viewof input3 = textarea({\n rows: 3,\n wrap: true,\n width: \"100%\",\n value: `Let P, Q and R be points on the sides of BC, CA and AB of the acute triangle ABC such that the triangle PQR is equilateral and has a minimum content of all such equilateral triangles. Prove that the perpendiculars from points A, B and C to the sides of QR, RP and PQ intersect at one point.`\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":214,"value":"md`This box will \"auto-LaTeX\". Work in progress.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":201,"value":"html`${input3.replace(detectLatex, x => \"$\" + x + \"$\")}\n\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":79,"value":"replacementEngine = (text) => {\n return text.replace(/\\n/g,\" \").replace(/- /g, \"\")//.replace(detectLatex,latexify)\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":106,"value":"detectLatex = /[A-Z]+(?=[ ,])/g // /[A-Za-z0-9(+-]+(\\s[=+\\-−×≤]\\s[A-Za-z0-9()]+)*(?=[\\s.,])/g","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":99,"value":"latexify = (x) => {\n return \"$\" + x\n .replace(\"×\",\"\\\\times\")\n .replace(\"≤\",\"\\\\le\")\n + \"$\"\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":18,"value":"copyingUtil = replacementEngine","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":117,"value":"postTranslateUtil = (text) => {\n return text\n .replace(/ \\\\ /g, \"\\\\\")\n .replace(/\\\\ /g, \"\\\\\")\n .replace(/ '/g, \"'\")\n .replace(/_ /g,\"_\")\n .replace(/ \\{/g,\"{\")\n .replace(/\\$ .*? \\$/g, x => \"$\" + x.slice(2,-2) + \"$\")\n .replace(/\\$\\$ .*? \\$\\$/g, x => \"$$\" + x.slice(2,-2) + \"$$\")\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":6,"value":"import {textarea} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":46,"value":"md`## Credits`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":42,"value":"function copy(text) {\n var fakeElem = document.body.appendChild(document.createElement('textarea'));\n fakeElem.style.position = 'absolute';\n fakeElem.style.left = '-9999px';\n fakeElem.setAttribute('readonly', '');\n fakeElem.value = text;\n fakeElem.select();\n try {\n return document.execCommand('copy');\n } catch (err) {\n return false;\n } finally {\n fakeElem.parentNode.removeChild(fakeElem);\n }\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":40,"value":"document.addEventListener('click', e => {\n if (e.target.className === 'copiable') {\n copy(e.target.textContent);\n e.target.classList.add('copied');\n setTimeout(() => e.target.classList.remove('copied'), 500);\n }\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":53,"value":"md`\\`copiable\\` CSS class behaviour taken from [\\`@tmcw/module-require-debugger\\`](https://beta.observablehq.com/@tmcw/module-require-debugger).`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W46","stdlib":"1"}} 45:"$44:body"