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Следим за тем, чтобы длина алгоритма не превышала 5 команд.",[402,481,482],{},"5 → 51 (Команда 1)",[402,484,485],{},"51 : 3 = 17 (Команда 2)",[402,487,488],{},"17 → 171 (Команда 1)",[402,490,491],{},"171 : 3 = 57 (Команда 2)",[402,493,494],{},"57 : 3 = 27 (Команда 2)",[402,496,497],{},[406,498,499],{},"Ответ: 12122",[438,501,503],{"id":502},"задача-2-составляем-программу-закрепление","Задача 2 (Составляем программу, закрепление)",[402,505,506],{},"У исполнителя Квадратор две команды, которым присвоены номера:",[446,508,509,512],{},[449,510,511],{},"возведи в квадрат",[449,513,514],{},"вычти 3",[402,516,517],{},"Первая из них возводит число на экране во вторую степень, вторая вычитает из числа 3.",[402,519,520],{},"Исполнитель работает только с натуральными числами.",[402,522,523],{},"Составьте алгоритм получения из числа 14 числа 58, содержащий не более 5 команд. В ответе запишите только номера команд.",[402,525,526],{},[418,527,528],{},"(Например, 21221 - это алгоритм: вычти 3, возведи в квадрат, вычти 3, вычти 3, возведи в квадрат, который преобразует число 7 в 100.)",[402,530,471],{},[473,532,476],{"id":533},"решение-1",[402,535,536],{},"Вначале нужно добраться до 64. Потом два раза сделать -3, получится 58.",[402,538,539],{},"14 - 3 = 11 (Команда 2)",[402,541,542],{},"11 - 3 = 8 (Команда 2)",[402,544,545],{},"8 * 8 = 64 (Команда 1)",[402,547,548],{},"64 - 3 = 61 (Команда 2)",[402,550,551],{},"61 - 3 = 58 (Команда 2)",[402,553,554],{},[406,555,556],{},"Ответ: 22122",[438,558,560],{"id":559},"задача-3-классическая","Задача 3 (Классическая)",[402,562,563],{},"У исполнителя Гамма две команды, которым присвоены номера:",[446,565,566,569],{},[449,567,568],{},"прибавь 3;",[449,570,571],{},"умножь на b(b — неизвестное натуральное число; b≥2).",[402,573,574],{},"Выполняя первую из них, Гамма увеличивает число на экране на 3, а выполняя вторую, умножает это число на b.\nПрограмма для исполнителя Гамма — это последовательность номеров команд. Известно, что программа 11121 переводит число 3 в число 75.",[402,576,577],{},"Определите значение b.",[473,579,476],{"id":580},"решение-2",[402,582,583],{},"В начале у нас есть число 3. С ним начинаем делать команды из программы (11121).",[402,585,586,587,668,721],{},"Сперва нужно выполнить три раза команду 1:\n",[588,589,593],"mjx-container",{"className":590,"jax":592},[591],"MathJax","SVG",[594,595,604,624],"svg",{"style":596,"xmlns":597,"width":598,"height":599,"role":600,"focusable":601,"viewBox":602,"xmlnsXLink":603},"vertical-align: -0.186ex;","http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","9.176ex","1.692ex","img","false","0 -666 4056 748","http:\u002F\u002Fwww.w3.org\u002F1999\u002Fxlink",[605,606,607,612,616,620],"defs",{},[608,609],"path",{"id":610,"d":611},"MJX-1-TEX-N-33","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",[608,613],{"id":614,"d":615},"MJX-1-TEX-N-2B","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",[608,617],{"id":618,"d":619},"MJX-1-TEX-N-3D","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",[608,621],{"id":622,"d":623},"MJX-1-TEX-N-36","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",[625,626,630],"g",{"stroke":627,"fill":627,"stroke-width":628,"transform":629},"currentColor","0","scale(1,-1)",[625,631,633,641,649,654,661],{"dataMmlNode":632},"math",[625,634,636],{"dataMmlNode":635},"mn",[637,638],"use",{"dataC":639,"xLinkHref":640},"33","#MJX-1-TEX-N-33",[625,642,645],{"dataMmlNode":643,"transform":644},"mo","translate(722.2,0)",[637,646],{"dataC":647,"xLinkHref":648},"2B","#MJX-1-TEX-N-2B",[625,650,652],{"dataMmlNode":635,"transform":651},"translate(1722.4,0)",[637,653],{"dataC":639,"xLinkHref":640},[625,655,657],{"dataMmlNode":643,"transform":656},"translate(2500.2,0)",[637,658],{"dataC":659,"xLinkHref":660},"3D","#MJX-1-TEX-N-3D",[625,662,664],{"dataMmlNode":635,"transform":663},"translate(3556,0)",[637,665],{"dataC":666,"xLinkHref":667},"36","#MJX-1-TEX-N-36",[588,669,671],{"className":670,"jax":592},[591],[594,672,673,691],{"style":596,"xmlns":597,"width":598,"height":599,"role":600,"focusable":601,"viewBox":602,"xmlnsXLink":603},[605,674,675,678,681,684,687],{},[608,676],{"id":677,"d":623},"MJX-2-TEX-N-36",[608,679],{"id":680,"d":615},"MJX-2-TEX-N-2B",[608,682],{"id":683,"d":611},"MJX-2-TEX-N-33",[608,685],{"id":686,"d":619},"MJX-2-TEX-N-3D",[608,688],{"id":689,"d":690},"MJX-2-TEX-N-39","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",[625,692,693],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,694,695,700,705,710,715],{"dataMmlNode":632},[625,696,697],{"dataMmlNode":635},[637,698],{"dataC":666,"xLinkHref":699},"#MJX-2-TEX-N-36",[625,701,702],{"dataMmlNode":643,"transform":644},[637,703],{"dataC":647,"xLinkHref":704},"#MJX-2-TEX-N-2B",[625,706,707],{"dataMmlNode":635,"transform":651},[637,708],{"dataC":639,"xLinkHref":709},"#MJX-2-TEX-N-33",[625,711,712],{"dataMmlNode":643,"transform":656},[637,713],{"dataC":659,"xLinkHref":714},"#MJX-2-TEX-N-3D",[625,716,717],{"dataMmlNode":635,"transform":663},[637,718],{"dataC":719,"xLinkHref":720},"39","#MJX-2-TEX-N-39",[588,722,724],{"className":723,"jax":592},[591],[594,725,728,750],{"style":596,"xmlns":597,"width":726,"height":599,"role":600,"focusable":601,"viewBox":727,"xmlnsXLink":603},"10.308ex","0 -666 4556 748",[605,729,730,733,736,739,742,746],{},[608,731],{"id":732,"d":690},"MJX-3-TEX-N-39",[608,734],{"id":735,"d":615},"MJX-3-TEX-N-2B",[608,737],{"id":738,"d":611},"MJX-3-TEX-N-33",[608,740],{"id":741,"d":619},"MJX-3-TEX-N-3D",[608,743],{"id":744,"d":745},"MJX-3-TEX-N-31","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",[608,747],{"id":748,"d":749},"MJX-3-TEX-N-32","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",[625,751,752],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,753,754,759,764,769,774],{"dataMmlNode":632},[625,755,756],{"dataMmlNode":635},[637,757],{"dataC":719,"xLinkHref":758},"#MJX-3-TEX-N-39",[625,760,761],{"dataMmlNode":643,"transform":644},[637,762],{"dataC":647,"xLinkHref":763},"#MJX-3-TEX-N-2B",[625,765,766],{"dataMmlNode":635,"transform":651},[637,767],{"dataC":639,"xLinkHref":768},"#MJX-3-TEX-N-33",[625,770,771],{"dataMmlNode":643,"transform":656},[637,772],{"dataC":659,"xLinkHref":773},"#MJX-3-TEX-N-3D",[625,775,776,780],{"dataMmlNode":635,"transform":663},[637,777],{"dataC":778,"xLinkHref":779},"31","#MJX-3-TEX-N-31",[637,781],{"dataC":782,"xLinkHref":783,"transform":784},"32","#MJX-3-TEX-N-32","translate(500,0)",[402,786,787],{},"Следуя программе, дальше нужно сделать команду под номером 2. Получается 12 * b. Затем выполним последнюю команду под номером 1. В результате будет выражение 12 * b + 3. Это выражение в итоге должно равняться 75. Теперь осталось решить уравнение и найти b.",[402,789,790,887,986],{},[588,791,793],{"className":792,"jax":592},[591],[594,794,798,831],{"style":596,"xmlns":597,"width":795,"height":796,"role":600,"focusable":601,"viewBox":797,"xmlnsXLink":603},"14.546ex","1.756ex","0 -694 6429.4 776",[605,799,800,803,806,810,814,817,820,823,827],{},[608,801],{"id":802,"d":745},"MJX-4-TEX-N-31",[608,804],{"id":805,"d":749},"MJX-4-TEX-N-32",[608,807],{"id":808,"d":809},"MJX-4-TEX-N-2217","M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z",[608,811],{"id":812,"d":813},"MJX-4-TEX-I-1D44F","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",[608,815],{"id":816,"d":615},"MJX-4-TEX-N-2B",[608,818],{"id":819,"d":611},"MJX-4-TEX-N-33",[608,821],{"id":822,"d":619},"MJX-4-TEX-N-3D",[608,824],{"id":825,"d":826},"MJX-4-TEX-N-37","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",[608,828],{"id":829,"d":830},"MJX-4-TEX-N-35","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",[625,832,833],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,834,835,843,850,858,864,870,876],{"dataMmlNode":632},[625,836,837,840],{"dataMmlNode":635},[637,838],{"dataC":778,"xLinkHref":839},"#MJX-4-TEX-N-31",[637,841],{"dataC":782,"xLinkHref":842,"transform":784},"#MJX-4-TEX-N-32",[625,844,846],{"dataMmlNode":643,"transform":845},"translate(1222.2,0)",[637,847],{"dataC":848,"xLinkHref":849},"2217","#MJX-4-TEX-N-2217",[625,851,854],{"dataMmlNode":852,"transform":853},"mi","translate(1944.4,0)",[637,855],{"dataC":856,"xLinkHref":857},"1D44F","#MJX-4-TEX-I-1D44F",[625,859,861],{"dataMmlNode":643,"transform":860},"translate(2595.7,0)",[637,862],{"dataC":647,"xLinkHref":863},"#MJX-4-TEX-N-2B",[625,865,867],{"dataMmlNode":635,"transform":866},"translate(3595.9,0)",[637,868],{"dataC":639,"xLinkHref":869},"#MJX-4-TEX-N-33",[625,871,873],{"dataMmlNode":643,"transform":872},"translate(4373.7,0)",[637,874],{"dataC":659,"xLinkHref":875},"#MJX-4-TEX-N-3D",[625,877,879,883],{"dataMmlNode":635,"transform":878},"translate(5429.4,0)",[637,880],{"dataC":881,"xLinkHref":882},"37","#MJX-4-TEX-N-37",[637,884],{"dataC":885,"xLinkHref":886,"transform":784},"35","#MJX-4-TEX-N-35",[588,888,890],{"className":889,"jax":592},[591],[594,891,894,924],{"style":596,"xmlns":597,"width":892,"height":796,"role":600,"focusable":601,"viewBox":893,"xmlnsXLink":603},"19.826ex","0 -694 8763 776",[605,895,896,899,902,905,908,911,914,917,921],{},[608,897],{"id":898,"d":745},"MJX-5-TEX-N-31",[608,900],{"id":901,"d":749},"MJX-5-TEX-N-32",[608,903],{"id":904,"d":809},"MJX-5-TEX-N-2217",[608,906],{"id":907,"d":813},"MJX-5-TEX-I-1D44F",[608,909],{"id":910,"d":619},"MJX-5-TEX-N-3D",[608,912],{"id":913,"d":826},"MJX-5-TEX-N-37",[608,915],{"id":916,"d":830},"MJX-5-TEX-N-35",[608,918],{"id":919,"d":920},"MJX-5-TEX-N-2212","M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z",[608,922],{"id":923,"d":611},"MJX-5-TEX-N-33",[625,925,926],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,927,928,936,941,946,952,961,968,974,979],{"dataMmlNode":632},[625,929,930,933],{"dataMmlNode":635},[637,931],{"dataC":778,"xLinkHref":932},"#MJX-5-TEX-N-31",[637,934],{"dataC":782,"xLinkHref":935,"transform":784},"#MJX-5-TEX-N-32",[625,937,938],{"dataMmlNode":643,"transform":845},[637,939],{"dataC":848,"xLinkHref":940},"#MJX-5-TEX-N-2217",[625,942,943],{"dataMmlNode":852,"transform":853},[637,944],{"dataC":856,"xLinkHref":945},"#MJX-5-TEX-I-1D44F",[625,947,949],{"dataMmlNode":643,"transform":948},"translate(2651.2,0)",[637,950],{"dataC":659,"xLinkHref":951},"#MJX-5-TEX-N-3D",[625,953,955,958],{"dataMmlNode":635,"transform":954},"translate(3707,0)",[637,956],{"dataC":881,"xLinkHref":957},"#MJX-5-TEX-N-37",[637,959],{"dataC":885,"xLinkHref":960,"transform":784},"#MJX-5-TEX-N-35",[625,962,964],{"dataMmlNode":643,"transform":963},"translate(4929.2,0)",[637,965],{"dataC":966,"xLinkHref":967},"2212","#MJX-5-TEX-N-2212",[625,969,971],{"dataMmlNode":635,"transform":970},"translate(5929.4,0)",[637,972],{"dataC":639,"xLinkHref":973},"#MJX-5-TEX-N-33",[625,975,977],{"dataMmlNode":643,"transform":976},"translate(6707.2,0)",[637,978],{"dataC":659,"xLinkHref":951},[625,980,982,984],{"dataMmlNode":635,"transform":981},"translate(7763,0)",[637,983],{"dataC":881,"xLinkHref":957},[637,985],{"dataC":782,"xLinkHref":935,"transform":784},[588,987,989],{"className":988,"jax":592},[591],[594,990,993,1008],{"style":596,"xmlns":597,"width":991,"height":796,"role":600,"focusable":601,"viewBox":992,"xmlnsXLink":603},"5.748ex","0 -694 2540.6 776",[605,994,995,998,1001,1004],{},[608,996],{"id":997,"d":813},"MJX-6-TEX-I-1D44F",[608,999],{"id":1000,"d":619},"MJX-6-TEX-N-3D",[608,1002],{"id":1003,"d":623},"MJX-6-TEX-N-36",[608,1005],{"id":1006,"d":1007},"MJX-6-TEX-N-2E","M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z",[625,1009,1010],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1011,1012,1017,1023],{"dataMmlNode":632},[625,1013,1014],{"dataMmlNode":852},[637,1015],{"dataC":856,"xLinkHref":1016},"#MJX-6-TEX-I-1D44F",[625,1018,1020],{"dataMmlNode":643,"transform":1019},"translate(706.8,0)",[637,1021],{"dataC":659,"xLinkHref":1022},"#MJX-6-TEX-N-3D",[625,1024,1026,1029],{"dataMmlNode":635,"transform":1025},"translate(1762.6,0)",[637,1027],{"dataC":666,"xLinkHref":1028},"#MJX-6-TEX-N-36",[637,1030],{"dataC":1031,"xLinkHref":1032,"transform":784},"2E","#MJX-6-TEX-N-2E",[402,1034,1035],{},[406,1036,1037],{},"Ответ: 6",[438,1039,1041],{"id":1040},"задача-4-деление","Задача 4 (Деление)",[402,1043,1044],{},"У исполнителя Омега две команды, которым присвоены номера:",[446,1046,1047,1049],{},[449,1048,568],{},[449,1050,1051],{},"раздели на b(b — неизвестное натуральное число; b≥2).",[402,1053,1054],{},"Выполняя первую из них, Омега увеличивает число на экране на 3, а выполняя вторую, делит это число на b.\nПрограмма для исполнителя Омега — это последовательность номеров команд.\nИзвестно, что программа 11121 переводит число 30 в число 6. Определите значение b.",[473,1056,476],{"id":1057},"решение-3",[402,1059,1060,1061,1119,1170],{},"К первоначальному числу 30 применим три раза команду под номером 1.\n",[588,1062,1064],{"className":1063,"jax":592},[591],[594,1065,1068,1083],{"style":596,"xmlns":597,"width":1066,"height":599,"role":600,"focusable":601,"viewBox":1067,"xmlnsXLink":603},"11.439ex","0 -666 5056 748",[605,1069,1070,1073,1077,1080],{},[608,1071],{"id":1072,"d":611},"MJX-7-TEX-N-33",[608,1074],{"id":1075,"d":1076},"MJX-7-TEX-N-30","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",[608,1078],{"id":1079,"d":615},"MJX-7-TEX-N-2B",[608,1081],{"id":1082,"d":619},"MJX-7-TEX-N-3D",[625,1084,1085],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1086,1087,1096,1101,1106,1112],{"dataMmlNode":632},[625,1088,1089,1092],{"dataMmlNode":635},[637,1090],{"dataC":639,"xLinkHref":1091},"#MJX-7-TEX-N-33",[637,1093],{"dataC":1094,"xLinkHref":1095,"transform":784},"30","#MJX-7-TEX-N-30",[625,1097,1098],{"dataMmlNode":643,"transform":845},[637,1099],{"dataC":647,"xLinkHref":1100},"#MJX-7-TEX-N-2B",[625,1102,1104],{"dataMmlNode":635,"transform":1103},"translate(2222.4,0)",[637,1105],{"dataC":639,"xLinkHref":1091},[625,1107,1109],{"dataMmlNode":643,"transform":1108},"translate(3000.2,0)",[637,1110],{"dataC":659,"xLinkHref":1111},"#MJX-7-TEX-N-3D",[625,1113,1115,1117],{"dataMmlNode":635,"transform":1114},"translate(4056,0)",[637,1116],{"dataC":639,"xLinkHref":1091},[637,1118],{"dataC":639,"xLinkHref":1091,"transform":784},[588,1120,1122],{"className":1121,"jax":592},[591],[594,1123,1124,1138],{"style":596,"xmlns":597,"width":1066,"height":599,"role":600,"focusable":601,"viewBox":1067,"xmlnsXLink":603},[605,1125,1126,1129,1132,1135],{},[608,1127],{"id":1128,"d":611},"MJX-8-TEX-N-33",[608,1130],{"id":1131,"d":615},"MJX-8-TEX-N-2B",[608,1133],{"id":1134,"d":619},"MJX-8-TEX-N-3D",[608,1136],{"id":1137,"d":623},"MJX-8-TEX-N-36",[625,1139,1140],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1141,1142,1149,1154,1158,1163],{"dataMmlNode":632},[625,1143,1144,1147],{"dataMmlNode":635},[637,1145],{"dataC":639,"xLinkHref":1146},"#MJX-8-TEX-N-33",[637,1148],{"dataC":639,"xLinkHref":1146,"transform":784},[625,1150,1151],{"dataMmlNode":643,"transform":845},[637,1152],{"dataC":647,"xLinkHref":1153},"#MJX-8-TEX-N-2B",[625,1155,1156],{"dataMmlNode":635,"transform":1103},[637,1157],{"dataC":639,"xLinkHref":1146},[625,1159,1160],{"dataMmlNode":643,"transform":1108},[637,1161],{"dataC":659,"xLinkHref":1162},"#MJX-8-TEX-N-3D",[625,1164,1165,1167],{"dataMmlNode":635,"transform":1114},[637,1166],{"dataC":639,"xLinkHref":1146},[637,1168],{"dataC":666,"xLinkHref":1169,"transform":784},"#MJX-8-TEX-N-36",[588,1171,1173],{"className":1172,"jax":592},[591],[594,1174,1175,1192],{"style":596,"xmlns":597,"width":1066,"height":599,"role":600,"focusable":601,"viewBox":1067,"xmlnsXLink":603},[605,1176,1177,1180,1183,1186,1189],{},[608,1178],{"id":1179,"d":611},"MJX-9-TEX-N-33",[608,1181],{"id":1182,"d":623},"MJX-9-TEX-N-36",[608,1184],{"id":1185,"d":615},"MJX-9-TEX-N-2B",[608,1187],{"id":1188,"d":619},"MJX-9-TEX-N-3D",[608,1190],{"id":1191,"d":690},"MJX-9-TEX-N-39",[625,1193,1194],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1195,1196,1204,1209,1213,1218],{"dataMmlNode":632},[625,1197,1198,1201],{"dataMmlNode":635},[637,1199],{"dataC":639,"xLinkHref":1200},"#MJX-9-TEX-N-33",[637,1202],{"dataC":666,"xLinkHref":1203,"transform":784},"#MJX-9-TEX-N-36",[625,1205,1206],{"dataMmlNode":643,"transform":845},[637,1207],{"dataC":647,"xLinkHref":1208},"#MJX-9-TEX-N-2B",[625,1210,1211],{"dataMmlNode":635,"transform":1103},[637,1212],{"dataC":639,"xLinkHref":1200},[625,1214,1215],{"dataMmlNode":643,"transform":1108},[637,1216],{"dataC":659,"xLinkHref":1217},"#MJX-9-TEX-N-3D",[625,1219,1220,1222],{"dataMmlNode":635,"transform":1114},[637,1221],{"dataC":639,"xLinkHref":1200},[637,1223],{"dataC":719,"xLinkHref":1224,"transform":784},"#MJX-9-TEX-N-39",[402,1226,1227,1228,1313,1399],{},"Затем применим вторую команду. Получается 39 \u002F b. Последней командой будет снова команда под номером один 39 \u002F b + 3. Результат должен быть равен 6. Решим уравнение:\n",[588,1229,1231],{"className":1230,"jax":592},[591],[594,1232,1237,1261],{"style":1233,"xmlns":597,"width":1234,"height":1235,"role":600,"focusable":601,"viewBox":1236,"xmlnsXLink":603},"vertical-align: -0.566ex;","12.41ex","2.262ex","0 -750 5485 1000",[605,1238,1239,1242,1245,1249,1252,1255,1258],{},[608,1240],{"id":1241,"d":611},"MJX-10-TEX-N-33",[608,1243],{"id":1244,"d":690},"MJX-10-TEX-N-39",[608,1246],{"id":1247,"d":1248},"MJX-10-TEX-N-2F","M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z",[608,1250],{"id":1251,"d":813},"MJX-10-TEX-I-1D44F",[608,1253],{"id":1254,"d":615},"MJX-10-TEX-N-2B",[608,1256],{"id":1257,"d":619},"MJX-10-TEX-N-3D",[608,1259],{"id":1260,"d":623},"MJX-10-TEX-N-36",[625,1262,1263],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1264,1265,1273,1284,1290,1296,1301,1307],{"dataMmlNode":632},[625,1266,1267,1270],{"dataMmlNode":635},[637,1268],{"dataC":639,"xLinkHref":1269},"#MJX-10-TEX-N-33",[637,1271],{"dataC":719,"xLinkHref":1272,"transform":784},"#MJX-10-TEX-N-39",[625,1274,1278],{"dataMmlNode":1275,"dataMjxTexclass":1276,"transform":1277},"TeXAtom","ORD","translate(1000,0)",[625,1279,1280],{"dataMmlNode":643},[637,1281],{"dataC":1282,"xLinkHref":1283},"2F","#MJX-10-TEX-N-2F",[625,1285,1287],{"dataMmlNode":852,"transform":1286},"translate(1500,0)",[637,1288],{"dataC":856,"xLinkHref":1289},"#MJX-10-TEX-I-1D44F",[625,1291,1293],{"dataMmlNode":643,"transform":1292},"translate(2151.2,0)",[637,1294],{"dataC":647,"xLinkHref":1295},"#MJX-10-TEX-N-2B",[625,1297,1299],{"dataMmlNode":635,"transform":1298},"translate(3151.4,0)",[637,1300],{"dataC":639,"xLinkHref":1269},[625,1302,1304],{"dataMmlNode":643,"transform":1303},"translate(3929.2,0)",[637,1305],{"dataC":659,"xLinkHref":1306},"#MJX-10-TEX-N-3D",[625,1308,1310],{"dataMmlNode":635,"transform":1309},"translate(4985,0)",[637,1311],{"dataC":666,"xLinkHref":1312},"#MJX-10-TEX-N-36",[588,1314,1316],{"className":1315,"jax":592},[591],[594,1317,1320,1343],{"style":1233,"xmlns":597,"width":1318,"height":1235,"role":600,"focusable":601,"viewBox":1319,"xmlnsXLink":603},"16.558ex","0 -750 7318.6 1000",[605,1321,1322,1325,1328,1331,1334,1337,1340],{},[608,1323],{"id":1324,"d":611},"MJX-11-TEX-N-33",[608,1326],{"id":1327,"d":690},"MJX-11-TEX-N-39",[608,1329],{"id":1330,"d":1248},"MJX-11-TEX-N-2F",[608,1332],{"id":1333,"d":813},"MJX-11-TEX-I-1D44F",[608,1335],{"id":1336,"d":619},"MJX-11-TEX-N-3D",[608,1338],{"id":1339,"d":623},"MJX-11-TEX-N-36",[608,1341],{"id":1342,"d":920},"MJX-11-TEX-N-2212",[625,1344,1345],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1346,1347,1355,1362,1367,1373,1379,1385,1389,1394],{"dataMmlNode":632},[625,1348,1349,1352],{"dataMmlNode":635},[637,1350],{"dataC":639,"xLinkHref":1351},"#MJX-11-TEX-N-33",[637,1353],{"dataC":719,"xLinkHref":1354,"transform":784},"#MJX-11-TEX-N-39",[625,1356,1357],{"dataMmlNode":1275,"dataMjxTexclass":1276,"transform":1277},[625,1358,1359],{"dataMmlNode":643},[637,1360],{"dataC":1282,"xLinkHref":1361},"#MJX-11-TEX-N-2F",[625,1363,1364],{"dataMmlNode":852,"transform":1286},[637,1365],{"dataC":856,"xLinkHref":1366},"#MJX-11-TEX-I-1D44F",[625,1368,1370],{"dataMmlNode":643,"transform":1369},"translate(2206.8,0)",[637,1371],{"dataC":659,"xLinkHref":1372},"#MJX-11-TEX-N-3D",[625,1374,1376],{"dataMmlNode":635,"transform":1375},"translate(3262.6,0)",[637,1377],{"dataC":666,"xLinkHref":1378},"#MJX-11-TEX-N-36",[625,1380,1382],{"dataMmlNode":643,"transform":1381},"translate(3984.8,0)",[637,1383],{"dataC":966,"xLinkHref":1384},"#MJX-11-TEX-N-2212",[625,1386,1387],{"dataMmlNode":635,"transform":1309},[637,1388],{"dataC":639,"xLinkHref":1351},[625,1390,1392],{"dataMmlNode":643,"transform":1391},"translate(5762.8,0)",[637,1393],{"dataC":659,"xLinkHref":1372},[625,1395,1397],{"dataMmlNode":635,"transform":1396},"translate(6818.6,0)",[637,1398],{"dataC":639,"xLinkHref":1351},[588,1400,1402],{"className":1401,"jax":592},[591],[594,1403,1406,1426],{"style":1233,"xmlns":597,"width":1404,"height":1235,"role":600,"focusable":601,"viewBox":1405,"xmlnsXLink":603},"13.792ex","0 -750 6096.1 1000",[605,1407,1408,1411,1414,1417,1420,1423],{},[608,1409],{"id":1410,"d":813},"MJX-12-TEX-I-1D44F",[608,1412],{"id":1413,"d":619},"MJX-12-TEX-N-3D",[608,1415],{"id":1416,"d":611},"MJX-12-TEX-N-33",[608,1418],{"id":1419,"d":690},"MJX-12-TEX-N-39",[608,1421],{"id":1422,"d":1248},"MJX-12-TEX-N-2F",[608,1424],{"id":1425,"d":745},"MJX-12-TEX-N-31",[625,1427,1428],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1429,1430,1435,1440,1448,1456,1460,1465],{"dataMmlNode":632},[625,1431,1432],{"dataMmlNode":852},[637,1433],{"dataC":856,"xLinkHref":1434},"#MJX-12-TEX-I-1D44F",[625,1436,1437],{"dataMmlNode":643,"transform":1019},[637,1438],{"dataC":659,"xLinkHref":1439},"#MJX-12-TEX-N-3D",[625,1441,1442,1445],{"dataMmlNode":635,"transform":1025},[637,1443],{"dataC":639,"xLinkHref":1444},"#MJX-12-TEX-N-33",[637,1446],{"dataC":719,"xLinkHref":1447,"transform":784},"#MJX-12-TEX-N-39",[625,1449,1451],{"dataMmlNode":1275,"dataMjxTexclass":1276,"transform":1450},"translate(2762.6,0)",[625,1452,1453],{"dataMmlNode":643},[637,1454],{"dataC":1282,"xLinkHref":1455},"#MJX-12-TEX-N-2F",[625,1457,1458],{"dataMmlNode":635,"transform":1375},[637,1459],{"dataC":639,"xLinkHref":1444},[625,1461,1463],{"dataMmlNode":643,"transform":1462},"translate(4040.3,0)",[637,1464],{"dataC":659,"xLinkHref":1439},[625,1466,1468,1471],{"dataMmlNode":635,"transform":1467},"translate(5096.1,0)",[637,1469],{"dataC":778,"xLinkHref":1470},"#MJX-12-TEX-N-31",[637,1472],{"dataC":639,"xLinkHref":1444,"transform":784},[402,1474,1475],{},[406,1476,1477],{},"Ответ: 13",[438,1479,1481],{"id":1480},"задача-5-квадратное-уравнение","Задача 5 (Квадратное уравнение)",[402,1483,1484],{},"У исполнителя Алго две команды, которым присвоены номера:",[446,1486,1487,1490],{},[449,1488,1489],{},"прибавить 1",[449,1491,1492],{},"умножить на b(b — неизвестное натуральное число; b ≥ 2)",[402,1494,1495],{},"Выполняя первую из них, Алго — это последовательность команд. Известно, что программа 12121 переводит число 4 в число 49.",[402,1497,577],{},[473,1499,476],{"id":1500},"решение-4",[402,1502,1503],{},"Сделаем команды из программы для первоначального числа 4:",[402,1505,1506,1561,1592,1639,1765],{},[588,1507,1509],{"className":1508,"jax":592},[591],[594,1510,1513,1531],{"style":596,"xmlns":597,"width":598,"height":1511,"role":600,"focusable":601,"viewBox":1512,"xmlnsXLink":603},"1.717ex","0 -677 4056 759",[605,1514,1515,1519,1522,1525,1528],{},[608,1516],{"id":1517,"d":1518},"MJX-13-TEX-N-34","M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z",[608,1520],{"id":1521,"d":615},"MJX-13-TEX-N-2B",[608,1523],{"id":1524,"d":745},"MJX-13-TEX-N-31",[608,1526],{"id":1527,"d":619},"MJX-13-TEX-N-3D",[608,1529],{"id":1530,"d":830},"MJX-13-TEX-N-35",[625,1532,1533],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1534,1535,1541,1546,1551,1556],{"dataMmlNode":632},[625,1536,1537],{"dataMmlNode":635},[637,1538],{"dataC":1539,"xLinkHref":1540},"34","#MJX-13-TEX-N-34",[625,1542,1543],{"dataMmlNode":643,"transform":644},[637,1544],{"dataC":647,"xLinkHref":1545},"#MJX-13-TEX-N-2B",[625,1547,1548],{"dataMmlNode":635,"transform":651},[637,1549],{"dataC":778,"xLinkHref":1550},"#MJX-13-TEX-N-31",[625,1552,1553],{"dataMmlNode":643,"transform":656},[637,1554],{"dataC":659,"xLinkHref":1555},"#MJX-13-TEX-N-3D",[625,1557,1558],{"dataMmlNode":635,"transform":663},[637,1559],{"dataC":885,"xLinkHref":1560},"#MJX-13-TEX-N-35",[588,1562,1564],{"className":1563,"jax":592},[591],[594,1565,1570,1578],{"style":1566,"xmlns":597,"width":1567,"height":1568,"role":600,"focusable":601,"viewBox":1569,"xmlnsXLink":603},"vertical-align: -0.05ex;","2.102ex","1.62ex","0 -694 929 716",[605,1571,1572,1575],{},[608,1573],{"id":1574,"d":830},"MJX-14-TEX-N-35",[608,1576],{"id":1577,"d":813},"MJX-14-TEX-I-1D44F",[625,1579,1580],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1581,1582,1587],{"dataMmlNode":632},[625,1583,1584],{"dataMmlNode":635},[637,1585],{"dataC":885,"xLinkHref":1586},"#MJX-14-TEX-N-35",[625,1588,1589],{"dataMmlNode":852,"transform":784},[637,1590],{"dataC":856,"xLinkHref":1591},"#MJX-14-TEX-I-1D44F",[588,1593,1595],{"className":1594,"jax":592},[591],[594,1596,1599,1613],{"style":596,"xmlns":597,"width":1597,"height":796,"role":600,"focusable":601,"viewBox":1598,"xmlnsXLink":603},"5.999ex","0 -694 2651.4 776",[605,1600,1601,1604,1607,1610],{},[608,1602],{"id":1603,"d":830},"MJX-15-TEX-N-35",[608,1605],{"id":1606,"d":813},"MJX-15-TEX-I-1D44F",[608,1608],{"id":1609,"d":615},"MJX-15-TEX-N-2B",[608,1611],{"id":1612,"d":745},"MJX-15-TEX-N-31",[625,1614,1615],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1616,1617,1622,1627,1633],{"dataMmlNode":632},[625,1618,1619],{"dataMmlNode":635},[637,1620],{"dataC":885,"xLinkHref":1621},"#MJX-15-TEX-N-35",[625,1623,1624],{"dataMmlNode":852,"transform":784},[637,1625],{"dataC":856,"xLinkHref":1626},"#MJX-15-TEX-I-1D44F",[625,1628,1630],{"dataMmlNode":643,"transform":1629},"translate(1151.2,0)",[637,1631],{"dataC":647,"xLinkHref":1632},"#MJX-15-TEX-N-2B",[625,1634,1636],{"dataMmlNode":635,"transform":1635},"translate(2151.4,0)",[637,1637],{"dataC":778,"xLinkHref":1638},"#MJX-15-TEX-N-31",[588,1640,1642],{"className":1641,"jax":592},[591],[594,1643,1647,1678],{"style":1233,"xmlns":597,"width":1644,"height":1645,"role":600,"focusable":601,"viewBox":1646,"xmlnsXLink":603},"20.709ex","2.452ex","0 -833.9 9153.4 1083.9",[605,1648,1649,1653,1656,1659,1662,1665,1669,1672,1675],{},[608,1650],{"id":1651,"d":1652},"MJX-16-TEX-N-28","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",[608,1654],{"id":1655,"d":830},"MJX-16-TEX-N-35",[608,1657],{"id":1658,"d":813},"MJX-16-TEX-I-1D44F",[608,1660],{"id":1661,"d":615},"MJX-16-TEX-N-2B",[608,1663],{"id":1664,"d":745},"MJX-16-TEX-N-31",[608,1666],{"id":1667,"d":1668},"MJX-16-TEX-N-29","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",[608,1670],{"id":1671,"d":809},"MJX-16-TEX-N-2217",[608,1673],{"id":1674,"d":619},"MJX-16-TEX-N-3D",[608,1676],{"id":1677,"d":749},"MJX-16-TEX-N-32",[625,1679,1680],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1681,1682,1688,1694,1700,1706,1712,1719,1725,1730,1736,1741,1755,1760],{"dataMmlNode":632},[625,1683,1684],{"dataMmlNode":643},[637,1685],{"dataC":1686,"xLinkHref":1687},"28","#MJX-16-TEX-N-28",[625,1689,1691],{"dataMmlNode":635,"transform":1690},"translate(389,0)",[637,1692],{"dataC":885,"xLinkHref":1693},"#MJX-16-TEX-N-35",[625,1695,1697],{"dataMmlNode":852,"transform":1696},"translate(889,0)",[637,1698],{"dataC":856,"xLinkHref":1699},"#MJX-16-TEX-I-1D44F",[625,1701,1703],{"dataMmlNode":643,"transform":1702},"translate(1540.2,0)",[637,1704],{"dataC":647,"xLinkHref":1705},"#MJX-16-TEX-N-2B",[625,1707,1709],{"dataMmlNode":635,"transform":1708},"translate(2540.4,0)",[637,1710],{"dataC":778,"xLinkHref":1711},"#MJX-16-TEX-N-31",[625,1713,1715],{"dataMmlNode":643,"transform":1714},"translate(3040.4,0)",[637,1716],{"dataC":1717,"xLinkHref":1718},"29","#MJX-16-TEX-N-29",[625,1720,1722],{"dataMmlNode":643,"transform":1721},"translate(3651.7,0)",[637,1723],{"dataC":848,"xLinkHref":1724},"#MJX-16-TEX-N-2217",[625,1726,1728],{"dataMmlNode":852,"transform":1727},"translate(4373.9,0)",[637,1729],{"dataC":856,"xLinkHref":1699},[625,1731,1733],{"dataMmlNode":643,"transform":1732},"translate(5080.7,0)",[637,1734],{"dataC":659,"xLinkHref":1735},"#MJX-16-TEX-N-3D",[625,1737,1739],{"dataMmlNode":635,"transform":1738},"translate(6136.4,0)",[637,1740],{"dataC":885,"xLinkHref":1693},[625,1742,1745,1749],{"dataMmlNode":1743,"transform":1744},"msup","translate(6636.4,0)",[625,1746,1747],{"dataMmlNode":852},[637,1748],{"dataC":856,"xLinkHref":1699},[625,1750,1752],{"dataMmlNode":635,"transform":1751},"translate(462,363) scale(0.707)",[637,1753],{"dataC":782,"xLinkHref":1754},"#MJX-16-TEX-N-32",[625,1756,1758],{"dataMmlNode":643,"transform":1757},"translate(7724.2,0)",[637,1759],{"dataC":647,"xLinkHref":1705},[625,1761,1763],{"dataMmlNode":852,"transform":1762},"translate(8724.4,0)",[637,1764],{"dataC":856,"xLinkHref":1699},[588,1766,1768],{"className":1767,"jax":592},[591],[594,1769,1773,1790],{"style":596,"xmlns":597,"width":1770,"height":1771,"role":600,"focusable":601,"viewBox":1772,"xmlnsXLink":603},"10.723ex","2.072ex","0 -833.9 4739.4 915.9",[605,1774,1775,1778,1781,1784,1787],{},[608,1776],{"id":1777,"d":830},"MJX-17-TEX-N-35",[608,1779],{"id":1780,"d":813},"MJX-17-TEX-I-1D44F",[608,1782],{"id":1783,"d":749},"MJX-17-TEX-N-32",[608,1785],{"id":1786,"d":615},"MJX-17-TEX-N-2B",[608,1788],{"id":1789,"d":745},"MJX-17-TEX-N-31",[625,1791,1792],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1793,1794,1799,1811,1817,1822,1827],{"dataMmlNode":632},[625,1795,1796],{"dataMmlNode":635},[637,1797],{"dataC":885,"xLinkHref":1798},"#MJX-17-TEX-N-35",[625,1800,1801,1806],{"dataMmlNode":1743,"transform":784},[625,1802,1803],{"dataMmlNode":852},[637,1804],{"dataC":856,"xLinkHref":1805},"#MJX-17-TEX-I-1D44F",[625,1807,1808],{"dataMmlNode":635,"transform":1751},[637,1809],{"dataC":782,"xLinkHref":1810},"#MJX-17-TEX-N-32",[625,1812,1814],{"dataMmlNode":643,"transform":1813},"translate(1587.8,0)",[637,1815],{"dataC":647,"xLinkHref":1816},"#MJX-17-TEX-N-2B",[625,1818,1820],{"dataMmlNode":852,"transform":1819},"translate(2588,0)",[637,1821],{"dataC":856,"xLinkHref":1805},[625,1823,1825],{"dataMmlNode":643,"transform":1824},"translate(3239.2,0)",[637,1826],{"dataC":647,"xLinkHref":1816},[625,1828,1830],{"dataMmlNode":635,"transform":1829},"translate(4239.4,0)",[637,1831],{"dataC":778,"xLinkHref":1832},"#MJX-17-TEX-N-31",[402,1834,1835,1836],{},"Конечный результат должен равняться 49:\n",[588,1837,1839],{"className":1838,"jax":592},[591],[594,1840,1843,1869],{"style":596,"xmlns":597,"width":1841,"height":1771,"role":600,"focusable":601,"viewBox":1842,"xmlnsXLink":603},"16.002ex","0 -833.9 7073 915.9",[605,1844,1845,1848,1851,1854,1857,1860,1863,1866],{},[608,1846],{"id":1847,"d":830},"MJX-18-TEX-N-35",[608,1849],{"id":1850,"d":813},"MJX-18-TEX-I-1D44F",[608,1852],{"id":1853,"d":749},"MJX-18-TEX-N-32",[608,1855],{"id":1856,"d":615},"MJX-18-TEX-N-2B",[608,1858],{"id":1859,"d":745},"MJX-18-TEX-N-31",[608,1861],{"id":1862,"d":619},"MJX-18-TEX-N-3D",[608,1864],{"id":1865,"d":1518},"MJX-18-TEX-N-34",[608,1867],{"id":1868,"d":690},"MJX-18-TEX-N-39",[625,1870,1871],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1872,1873,1878,1890,1895,1899,1903,1908,1914],{"dataMmlNode":632},[625,1874,1875],{"dataMmlNode":635},[637,1876],{"dataC":885,"xLinkHref":1877},"#MJX-18-TEX-N-35",[625,1879,1880,1885],{"dataMmlNode":1743,"transform":784},[625,1881,1882],{"dataMmlNode":852},[637,1883],{"dataC":856,"xLinkHref":1884},"#MJX-18-TEX-I-1D44F",[625,1886,1887],{"dataMmlNode":635,"transform":1751},[637,1888],{"dataC":782,"xLinkHref":1889},"#MJX-18-TEX-N-32",[625,1891,1892],{"dataMmlNode":643,"transform":1813},[637,1893],{"dataC":647,"xLinkHref":1894},"#MJX-18-TEX-N-2B",[625,1896,1897],{"dataMmlNode":852,"transform":1819},[637,1898],{"dataC":856,"xLinkHref":1884},[625,1900,1901],{"dataMmlNode":643,"transform":1824},[637,1902],{"dataC":647,"xLinkHref":1894},[625,1904,1905],{"dataMmlNode":635,"transform":1829},[637,1906],{"dataC":778,"xLinkHref":1907},"#MJX-18-TEX-N-31",[625,1909,1911],{"dataMmlNode":643,"transform":1910},"translate(5017.2,0)",[637,1912],{"dataC":659,"xLinkHref":1913},"#MJX-18-TEX-N-3D",[625,1915,1917,1920],{"dataMmlNode":635,"transform":1916},"translate(6073,0)",[637,1918],{"dataC":1539,"xLinkHref":1919},"#MJX-18-TEX-N-34",[637,1921],{"dataC":719,"xLinkHref":1922,"transform":784},"#MJX-18-TEX-N-39",[402,1924,1925,1926],{},"Приведём к виду для решения квадратного уравнения(чтобы правая часть равнялась 0):\n",[588,1927,1929],{"className":1928,"jax":592},[591],[594,1930,1931,1961],{"style":596,"xmlns":597,"width":1841,"height":1771,"role":600,"focusable":601,"viewBox":1842,"xmlnsXLink":603},[605,1932,1933,1936,1939,1942,1945,1948,1951,1955,1958],{},[608,1934],{"id":1935,"d":830},"MJX-19-TEX-N-35",[608,1937],{"id":1938,"d":813},"MJX-19-TEX-I-1D44F",[608,1940],{"id":1941,"d":749},"MJX-19-TEX-N-32",[608,1943],{"id":1944,"d":615},"MJX-19-TEX-N-2B",[608,1946],{"id":1947,"d":920},"MJX-19-TEX-N-2212",[608,1949],{"id":1950,"d":1518},"MJX-19-TEX-N-34",[608,1952],{"id":1953,"d":1954},"MJX-19-TEX-N-38","M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z",[608,1956],{"id":1957,"d":619},"MJX-19-TEX-N-3D",[608,1959],{"id":1960,"d":1076},"MJX-19-TEX-N-30",[625,1962,1963],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,1964,1965,1970,1982,1987,1991,1996,2005,2011],{"dataMmlNode":632},[625,1966,1967],{"dataMmlNode":635},[637,1968],{"dataC":885,"xLinkHref":1969},"#MJX-19-TEX-N-35",[625,1971,1972,1977],{"dataMmlNode":1743,"transform":784},[625,1973,1974],{"dataMmlNode":852},[637,1975],{"dataC":856,"xLinkHref":1976},"#MJX-19-TEX-I-1D44F",[625,1978,1979],{"dataMmlNode":635,"transform":1751},[637,1980],{"dataC":782,"xLinkHref":1981},"#MJX-19-TEX-N-32",[625,1983,1984],{"dataMmlNode":643,"transform":1813},[637,1985],{"dataC":647,"xLinkHref":1986},"#MJX-19-TEX-N-2B",[625,1988,1989],{"dataMmlNode":852,"transform":1819},[637,1990],{"dataC":856,"xLinkHref":1976},[625,1992,1993],{"dataMmlNode":643,"transform":1824},[637,1994],{"dataC":966,"xLinkHref":1995},"#MJX-19-TEX-N-2212",[625,1997,1998,2001],{"dataMmlNode":635,"transform":1829},[637,1999],{"dataC":1539,"xLinkHref":2000},"#MJX-19-TEX-N-34",[637,2002],{"dataC":2003,"xLinkHref":2004,"transform":784},"38","#MJX-19-TEX-N-38",[625,2006,2008],{"dataMmlNode":643,"transform":2007},"translate(5517.2,0)",[637,2009],{"dataC":659,"xLinkHref":2010},"#MJX-19-TEX-N-3D",[625,2012,2014],{"dataMmlNode":635,"transform":2013},"translate(6573,0)",[637,2015],{"dataC":1094,"xLinkHref":2016},"#MJX-19-TEX-N-30",[402,2018,2019,2020,2118],{},"Решаем квадратное уравнение через дискриминант(для удобства решения b заменим на x):\n",[588,2021,2023],{"className":2022,"jax":592},[591],[594,2024,2027,2057],{"style":596,"xmlns":597,"width":2025,"height":1771,"role":600,"focusable":601,"viewBox":2026,"xmlnsXLink":603},"16.649ex","0 -833.9 7359 915.9",[605,2028,2029,2032,2036,2039,2042,2045,2048,2051,2054],{},[608,2030],{"id":2031,"d":830},"MJX-20-TEX-N-35",[608,2033],{"id":2034,"d":2035},"MJX-20-TEX-I-1D465","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",[608,2037],{"id":2038,"d":749},"MJX-20-TEX-N-32",[608,2040],{"id":2041,"d":615},"MJX-20-TEX-N-2B",[608,2043],{"id":2044,"d":920},"MJX-20-TEX-N-2212",[608,2046],{"id":2047,"d":1518},"MJX-20-TEX-N-34",[608,2049],{"id":2050,"d":1954},"MJX-20-TEX-N-38",[608,2052],{"id":2053,"d":619},"MJX-20-TEX-N-3D",[608,2055],{"id":2056,"d":1076},"MJX-20-TEX-N-30",[625,2058,2059],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,2060,2061,2066,2080,2086,2091,2097,2106,2112],{"dataMmlNode":632},[625,2062,2063],{"dataMmlNode":635},[637,2064],{"dataC":885,"xLinkHref":2065},"#MJX-20-TEX-N-35",[625,2067,2068,2074],{"dataMmlNode":1743,"transform":784},[625,2069,2070],{"dataMmlNode":852},[637,2071],{"dataC":2072,"xLinkHref":2073},"1D465","#MJX-20-TEX-I-1D465",[625,2075,2077],{"dataMmlNode":635,"transform":2076},"translate(605,363) scale(0.707)",[637,2078],{"dataC":782,"xLinkHref":2079},"#MJX-20-TEX-N-32",[625,2081,2083],{"dataMmlNode":643,"transform":2082},"translate(1730.8,0)",[637,2084],{"dataC":647,"xLinkHref":2085},"#MJX-20-TEX-N-2B",[625,2087,2089],{"dataMmlNode":852,"transform":2088},"translate(2731,0)",[637,2090],{"dataC":2072,"xLinkHref":2073},[625,2092,2094],{"dataMmlNode":643,"transform":2093},"translate(3525.2,0)",[637,2095],{"dataC":966,"xLinkHref":2096},"#MJX-20-TEX-N-2212",[625,2098,2100,2103],{"dataMmlNode":635,"transform":2099},"translate(4525.4,0)",[637,2101],{"dataC":1539,"xLinkHref":2102},"#MJX-20-TEX-N-34",[637,2104],{"dataC":2003,"xLinkHref":2105,"transform":784},"#MJX-20-TEX-N-38",[625,2107,2109],{"dataMmlNode":643,"transform":2108},"translate(5803.2,0)",[637,2110],{"dataC":659,"xLinkHref":2111},"#MJX-20-TEX-N-3D",[625,2113,2115],{"dataMmlNode":635,"transform":2114},"translate(6859,0)",[637,2116],{"dataC":1094,"xLinkHref":2117},"#MJX-20-TEX-N-30","\nВ квадратном уравнении ax2 + bx + c = 0 коэффициенты у нас будут равны:",[402,2120,2121],{},"a = 5",[402,2123,2124],{},"b = 1",[402,2126,2127],{},"c = -48",[446,2129,2130,2368],{},[449,2131,2132,2133],{},"Определим дискриминант:\n",[588,2134,2136],{"className":2135,"jax":592},[591],[594,2137,2140,2200],{"style":1233,"xmlns":597,"width":2138,"height":1645,"role":600,"focusable":601,"viewBox":2139,"xmlnsXLink":603},"48.856ex","0 -833.9 21594.6 1083.9",[605,2141,2142,2146,2149,2152,2155,2158,2161,2165,2169,2172,2176,2179,2182,2185,2188,2191,2194,2197],{},[608,2143],{"id":2144,"d":2145},"MJX-21-TEX-I-1D437","M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 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корень отрицательный - он нам не подходит. Найдём второй:\n",[588,2700,2702],{"className":2701,"jax":592},[591],[594,2703,2706,2759],{"style":2376,"xmlns":597,"width":2704,"height":2378,"role":600,"focusable":601,"viewBox":2705,"xmlnsXLink":603},"50.377ex","0 -1089.5 22266.7 1450.1",[605,2707,2708,2711,2714,2717,2720,2723,2726,2729,2732,2735,2738,2741,2744,2747,2750,2753,2756],{},[608,2709],{"id":2710,"d":2035},"MJX-23-TEX-I-1D465",[608,2712],{"id":2713,"d":749},"MJX-23-TEX-N-32",[608,2715],{"id":2716,"d":619},"MJX-23-TEX-N-3D",[608,2718],{"id":2719,"d":920},"MJX-23-TEX-N-2212",[608,2721],{"id":2722,"d":813},"MJX-23-TEX-I-1D44F",[608,2724],{"id":2725,"d":615},"MJX-23-TEX-N-2B",[608,2727],{"id":2728,"d":2400},"MJX-23-TEX-N-221A",[608,2730],{"id":2731,"d":2145},"MJX-23-TEX-I-1D437",[608,2733],{"id":2734,"d":2175},"MJX-23-TEX-N-B7",[608,2736],{"id":2737,"d":2164},"MJX-23-TEX-I-1D44E",[608,2739],{"id":2740,"d":745},"MJX-23-TEX-N-31",[608,2742],{"id":2743,"d":690},"MJX-23-TEX-N-39",[608,2745],{"id":2746,"d":623},"MJX-23-TEX-N-36",[608,2748],{"id":2749,"d":830},"MJX-23-TEX-N-35",[608,2751],{"id":2752,"d":611},"MJX-23-TEX-N-33",[608,2754],{"id":2755,"d":1248},"MJX-23-TEX-N-2F",[608,2757],{"id":2758,"d":1076},"MJX-23-TEX-N-30",[625,2760,2761],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,2762,2763,2775,2780,2835,2839,2895,2899,2903,2907,2911,2918,2925,2932,2936,2942,2949,2956,2961],{"dataMmlNode":632},[625,2764,2765,2770],{"dataMmlNode":2440},[625,2766,2767],{"dataMmlNode":852},[637,2768],{"dataC":2072,"xLinkHref":2769},"#MJX-23-TEX-I-1D465",[625,2771,2772],{"dataMmlNode":635,"transform":2448},[637,2773],{"dataC":782,"xLinkHref":2774},"#MJX-23-TEX-N-32",[625,2776,2777],{"dataMmlNode":643,"transform":2454},[637,2778],{"dataC":659,"xLinkHref":2779},"#MJX-23-TEX-N-3D",[625,2781,2782],{"dataMmlNode":1275,"dataMjxTexclass":1276,"transform":2460},[625,2783,2784,2817,2833],{"dataMmlNode":2463},[625,2785,2786,2791,2796,2801],{"dataMmlNode":2466,"transform":2467},[625,2787,2788],{"dataMmlNode":643},[637,2789],{"dataC":966,"xLinkHref":2790},"#MJX-23-TEX-N-2212",[625,2792,2793],{"dataMmlNode":852,"transform":2475},[637,2794],{"dataC":856,"xLinkHref":2795},"#MJX-23-TEX-I-1D44F",[625,2797,2798],{"dataMmlNode":643,"transform":2481},[637,2799],{"dataC":647,"xLinkHref":2800},"#MJX-23-TEX-N-2B",[625,2802,2803,2810,2815],{"dataMmlNode":2486,"transform":2487},[625,2804,2805],{"transform":2490},[625,2806,2807],{"dataMmlNode":852},[637,2808],{"dataC":2208,"xLinkHref":2809},"#MJX-23-TEX-I-1D437",[625,2811,2812],{"dataMmlNode":643,"transform":2498},[637,2813],{"dataC":2501,"xLinkHref":2814},"#MJX-23-TEX-N-221A",[2504,2816],{"width":2506,"height":2507,"x":2508,"y":2509},[625,2818,2819,2823,2828],{"dataMmlNode":1275,"transform":2512,"dataMjxTexclass":1276},[625,2820,2821],{"dataMmlNode":635},[637,2822],{"dataC":782,"xLinkHref":2774},[625,2824,2825],{"dataMmlNode":643,"transform":784},[637,2826],{"dataC":2288,"xLinkHref":2827},"#MJX-23-TEX-N-B7",[625,2829,2830],{"dataMmlNode":852,"transform":2475},[637,2831],{"dataC":2246,"xLinkHref":2832},"#MJX-23-TEX-I-1D44E",[2504,2834],{"width":2530,"height":2531,"x":2532,"y":2533},[625,2836,2837],{"dataMmlNode":643,"transform":2536},[637,2838],{"dataC":659,"xLinkHref":2779},[625,2840,2841],{"dataMmlNode":1275,"dataMjxTexclass":1276,"transform":2541},[625,2842,2843,2878,2893],{"dataMmlNode":2463},[625,2844,2845,2849,2854,2858],{"dataMmlNode":2466,"transform":2546},[625,2846,2847],{"dataMmlNode":643},[637,2848],{"dataC":966,"xLinkHref":2790},[625,2850,2851],{"dataMmlNode":635,"transform":2475},[637,2852],{"dataC":778,"xLinkHref":2853},"#MJX-23-TEX-N-31",[625,2855,2856],{"dataMmlNode":643,"transform":2557},[637,2857],{"dataC":647,"xLinkHref":2800},[625,2859,2860,2872,2876],{"dataMmlNode":2486,"transform":2562},[625,2861,2862],{"transform":2490},[625,2863,2864,2867,2870],{"dataMmlNode":635},[637,2865],{"dataC":719,"xLinkHref":2866},"#MJX-23-TEX-N-39",[637,2868],{"dataC":666,"xLinkHref":2869,"transform":784},"#MJX-23-TEX-N-36",[637,2871],{"dataC":778,"xLinkHref":2853,"transform":1277},[625,2873,2874],{"dataMmlNode":643,"transform":2577},[637,2875],{"dataC":2501,"xLinkHref":2814},[2504,2877],{"width":2582,"height":2507,"x":2508,"y":2583},[625,2879,2880,2884,2888],{"dataMmlNode":1275,"transform":2586,"dataMjxTexclass":1276},[625,2881,2882],{"dataMmlNode":635},[637,2883],{"dataC":782,"xLinkHref":2774},[625,2885,2886],{"dataMmlNode":643,"transform":784},[637,2887],{"dataC":2288,"xLinkHref":2827},[625,2889,2890],{"dataMmlNode":635,"transform":2475},[637,2891],{"dataC":885,"xLinkHref":2892},"#MJX-23-TEX-N-35",[2504,2894],{"width":2602,"height":2531,"x":2532,"y":2533},[625,2896,2897],{"dataMmlNode":643,"transform":2605},[637,2898],{"dataC":659,"xLinkHref":2779},[625,2900,2901],{"dataMmlNode":643,"transform":2610},[637,2902],{"dataC":966,"xLinkHref":2790},[625,2904,2905],{"dataMmlNode":635,"transform":2615},[637,2906],{"dataC":778,"xLinkHref":2853},[625,2908,2909],{"dataMmlNode":643,"transform":2620},[637,2910],{"dataC":647,"xLinkHref":2800},[625,2912,2913,2916],{"dataMmlNode":635,"transform":2625},[637,2914],{"dataC":639,"xLinkHref":2915},"#MJX-23-TEX-N-33",[637,2917],{"dataC":778,"xLinkHref":2853,"transform":784},[625,2919,2920],{"dataMmlNode":1275,"dataMjxTexclass":1276,"transform":2633},[625,2921,2922],{"dataMmlNode":643},[637,2923],{"dataC":1282,"xLinkHref":2924},"#MJX-23-TEX-N-2F",[625,2926,2927,2929],{"dataMmlNode":635,"transform":2641},[637,2928],{"dataC":778,"xLinkHref":2853},[637,2930],{"dataC":1094,"xLinkHref":2931,"transform":784},"#MJX-23-TEX-N-30",[625,2933,2934],{"dataMmlNode":643,"transform":2649},[637,2935],{"dataC":659,"xLinkHref":2779},[625,2937,2938,2940],{"dataMmlNode":635,"transform":2654},[637,2939],{"dataC":639,"xLinkHref":2915},[637,2941],{"dataC":1094,"xLinkHref":2931,"transform":784},[625,2943,2945],{"dataMmlNode":1275,"dataMjxTexclass":1276,"transform":2944},"translate(18933.1,0)",[625,2946,2947],{"dataMmlNode":643},[637,2948],{"dataC":1282,"xLinkHref":2924},[625,2950,2952,2954],{"dataMmlNode":635,"transform":2951},"translate(19433.1,0)",[637,2953],{"dataC":778,"xLinkHref":2853},[637,2955],{"dataC":1094,"xLinkHref":2931,"transform":784},[625,2957,2959],{"dataMmlNode":643,"transform":2958},"translate(20710.9,0)",[637,2960],{"dataC":659,"xLinkHref":2779},[625,2962,2964],{"dataMmlNode":635,"transform":2963},"translate(21766.7,0)",[637,2965],{"dataC":639,"xLinkHref":2915},[402,2967,2968],{},[418,2969,2970],{},"Без калькулятора бывает трудно определить, какое число нужно возвести в квадрат, чтобы получить дискриминант. В этом случае нужно посмотреть на последнюю цифру. У нас это 1. Какое число при возведении в квадрат получает на конце единицу ? Это 1 и 9. Значит, на эти цифры может оканчиваться искомое число. Чтобы подобраться к числу 900, можно попробовать возвести 31 в квадрат. Проверив столбиком число 31, подтверждаем, что 31 это и есть корень из дискриминанта.",[438,2972,2974],{"id":2973},"задача-6-дробь","Задача 6 (Дробь)",[402,2976,1044],{},[446,2978,2979,2982],{},[449,2980,2981],{},"вычти b",[449,2983,2984],{},"раздели на 3(b — неизвестное натуральное число).",[402,2986,2987],{},"Выполняя первую из них, Омега уменьшает число на экране на b, а выполняя вторую, делит это число на 3.",[402,2989,2990],{},"Программа для исполнителя Омега — это последовательность номеров команд.",[402,2992,2993],{},"Известно, что программа 211212 переводит число 42 в число 1.",[402,2995,577],{},[473,2997,476],{"id":2998},"решение-5",[402,3000,3001,3002,3067,3068,3109,3197,3198,3269,3270,3347],{},"Выполним команду под номером 2 с первоначальным числом 42:\n",[588,3003,3005],{"className":3004,"jax":592},[591],[594,3006,3009,3029],{"style":1233,"xmlns":597,"width":3007,"height":1235,"role":600,"focusable":601,"viewBox":3008,"xmlnsXLink":603},"9.804ex","0 -750 4333.6 1000",[605,3010,3011,3014,3017,3020,3023,3026],{},[608,3012],{"id":3013,"d":1518},"MJX-24-TEX-N-34",[608,3015],{"id":3016,"d":749},"MJX-24-TEX-N-32",[608,3018],{"id":3019,"d":1248},"MJX-24-TEX-N-2F",[608,3021],{"id":3022,"d":611},"MJX-24-TEX-N-33",[608,3024],{"id":3025,"d":619},"MJX-24-TEX-N-3D",[608,3027],{"id":3028,"d":745},"MJX-24-TEX-N-31",[625,3030,3031],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,3032,3033,3041,3048,3053,3059],{"dataMmlNode":632},[625,3034,3035,3038],{"dataMmlNode":635},[637,3036],{"dataC":1539,"xLinkHref":3037},"#MJX-24-TEX-N-34",[637,3039],{"dataC":782,"xLinkHref":3040,"transform":784},"#MJX-24-TEX-N-32",[625,3042,3043],{"dataMmlNode":1275,"dataMjxTexclass":1276,"transform":1277},[625,3044,3045],{"dataMmlNode":643},[637,3046],{"dataC":1282,"xLinkHref":3047},"#MJX-24-TEX-N-2F",[625,3049,3050],{"dataMmlNode":635,"transform":1286},[637,3051],{"dataC":639,"xLinkHref":3052},"#MJX-24-TEX-N-33",[625,3054,3056],{"dataMmlNode":643,"transform":3055},"translate(2277.8,0)",[637,3057],{"dataC":659,"xLinkHref":3058},"#MJX-24-TEX-N-3D",[625,3060,3062,3065],{"dataMmlNode":635,"transform":3061},"translate(3333.6,0)",[637,3063],{"dataC":778,"xLinkHref":3064},"#MJX-24-TEX-N-31",[637,3066],{"dataC":1539,"xLinkHref":3037,"transform":784},"\nДалее выполняем два раза команду под номером 1:\n",[588,3069,3071],{"className":3070,"jax":592},[591],[594,3072,3073,3087],{"style":596,"xmlns":597,"width":1597,"height":796,"role":600,"focusable":601,"viewBox":1598,"xmlnsXLink":603},[605,3074,3075,3078,3081,3084],{},[608,3076],{"id":3077,"d":745},"MJX-25-TEX-N-31",[608,3079],{"id":3080,"d":1518},"MJX-25-TEX-N-34",[608,3082],{"id":3083,"d":920},"MJX-25-TEX-N-2212",[608,3085],{"id":3086,"d":813},"MJX-25-TEX-I-1D44F",[625,3088,3089],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,3090,3091,3099,3104],{"dataMmlNode":632},[625,3092,3093,3096],{"dataMmlNode":635},[637,3094],{"dataC":778,"xLinkHref":3095},"#MJX-25-TEX-N-31",[637,3097],{"dataC":1539,"xLinkHref":3098,"transform":784},"#MJX-25-TEX-N-34",[625,3100,3101],{"dataMmlNode":643,"transform":845},[637,3102],{"dataC":966,"xLinkHref":3103},"#MJX-25-TEX-N-2212",[625,3105,3106],{"dataMmlNode":852,"transform":1103},[637,3107],{"dataC":856,"xLinkHref":3108},"#MJX-25-TEX-I-1D44F",[588,3110,3112],{"className":3111,"jax":592},[591],[594,3113,3116,3136],{"style":596,"xmlns":597,"width":3114,"height":796,"role":600,"focusable":601,"viewBox":3115,"xmlnsXLink":603},"19.882ex","0 -694 8787.9 776",[605,3117,3118,3121,3124,3127,3130,3133],{},[608,3119],{"id":3120,"d":745},"MJX-26-TEX-N-31",[608,3122],{"id":3123,"d":1518},"MJX-26-TEX-N-34",[608,3125],{"id":3126,"d":920},"MJX-26-TEX-N-2212",[608,3128],{"id":3129,"d":813},"MJX-26-TEX-I-1D44F",[608,3131],{"id":3132,"d":619},"MJX-26-TEX-N-3D",[608,3134],{"id":3135,"d":749},"MJX-26-TEX-N-32",[625,3137,3138],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,3139,3140,3148,3153,3158,3163,3168,3174,3181,3186,3192],{"dataMmlNode":632},[625,3141,3142,3145],{"dataMmlNode":635},[637,3143],{"dataC":778,"xLinkHref":3144},"#MJX-26-TEX-N-31",[637,3146],{"dataC":1539,"xLinkHref":3147,"transform":784},"#MJX-26-TEX-N-34",[625,3149,3150],{"dataMmlNode":643,"transform":845},[637,3151],{"dataC":966,"xLinkHref":3152},"#MJX-26-TEX-N-2212",[625,3154,3155],{"dataMmlNode":852,"transform":1103},[637,3156],{"dataC":856,"xLinkHref":3157},"#MJX-26-TEX-I-1D44F",[625,3159,3161],{"dataMmlNode":643,"transform":3160},"translate(2873.7,0)",[637,3162],{"dataC":966,"xLinkHref":3152},[625,3164,3166],{"dataMmlNode":852,"transform":3165},"translate(3873.9,0)",[637,3167],{"dataC":856,"xLinkHref":3157},[625,3169,3171],{"dataMmlNode":643,"transform":3170},"translate(4580.7,0)",[637,3172],{"dataC":659,"xLinkHref":3173},"#MJX-26-TEX-N-3D",[625,3175,3177,3179],{"dataMmlNode":635,"transform":3176},"translate(5636.4,0)",[637,3178],{"dataC":778,"xLinkHref":3144},[637,3180],{"dataC":1539,"xLinkHref":3147,"transform":784},[625,3182,3184],{"dataMmlNode":643,"transform":3183},"translate(6858.7,0)",[637,3185],{"dataC":966,"xLinkHref":3152},[625,3187,3189],{"dataMmlNode":635,"transform":3188},"translate(7858.9,0)",[637,3190],{"dataC":782,"xLinkHref":3191},"#MJX-26-TEX-N-32",[625,3193,3195],{"dataMmlNode":852,"transform":3194},"translate(8358.9,0)",[637,3196],{"dataC":856,"xLinkHref":3157},"\nДалее идёт команда под номером 2:\n",[588,3199,3201],{"className":3200,"jax":592},[591],[594,3202,3206,3226],{"style":2376,"xmlns":597,"width":3203,"height":3204,"role":600,"focusable":601,"viewBox":3205,"xmlnsXLink":603},"5.326ex","2.826ex","0 -888.7 2354.1 1249.3",[605,3207,3208,3211,3214,3217,3220,3223],{},[608,3209],{"id":3210,"d":745},"MJX-27-TEX-N-31",[608,3212],{"id":3213,"d":1518},"MJX-27-TEX-N-34",[608,3215],{"id":3216,"d":920},"MJX-27-TEX-N-2212",[608,3218],{"id":3219,"d":749},"MJX-27-TEX-N-32",[608,3221],{"id":3222,"d":813},"MJX-27-TEX-I-1D44F",[608,3224],{"id":3225,"d":611},"MJX-27-TEX-N-33",[625,3227,3228],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,3229,3230],{"dataMmlNode":632},[625,3231,3232,3260,3266],{"dataMmlNode":2463},[625,3233,3235,3243,3248,3254],{"dataMmlNode":2466,"transform":3234},"translate(220,398) scale(0.707)",[625,3236,3237,3240],{"dataMmlNode":635},[637,3238],{"dataC":778,"xLinkHref":3239},"#MJX-27-TEX-N-31",[637,3241],{"dataC":1539,"xLinkHref":3242,"transform":784},"#MJX-27-TEX-N-34",[625,3244,3245],{"dataMmlNode":643,"transform":1277},[637,3246],{"dataC":966,"xLinkHref":3247},"#MJX-27-TEX-N-2212",[625,3249,3251],{"dataMmlNode":635,"transform":3250},"translate(1778,0)",[637,3252],{"dataC":782,"xLinkHref":3253},"#MJX-27-TEX-N-32",[625,3255,3257],{"dataMmlNode":852,"transform":3256},"translate(2278,0)",[637,3258],{"dataC":856,"xLinkHref":3259},"#MJX-27-TEX-I-1D44F",[625,3261,3263],{"dataMmlNode":635,"transform":3262},"translate(1000.3,-345) scale(0.707)",[637,3264],{"dataC":639,"xLinkHref":3265},"#MJX-27-TEX-N-33",[2504,3267],{"width":3268,"height":2531,"x":2532,"y":2533},2114.1,"\nСнова команду 1:\n",[588,3271,3273],{"className":3272,"jax":592},[591],[594,3274,3277,3297],{"style":2376,"xmlns":597,"width":3275,"height":3204,"role":600,"focusable":601,"viewBox":3276,"xmlnsXLink":603},"9.062ex","0 -888.7 4005.6 1249.3",[605,3278,3279,3282,3285,3288,3291,3294],{},[608,3280],{"id":3281,"d":745},"MJX-28-TEX-N-31",[608,3283],{"id":3284,"d":1518},"MJX-28-TEX-N-34",[608,3286],{"id":3287,"d":920},"MJX-28-TEX-N-2212",[608,3289],{"id":3290,"d":749},"MJX-28-TEX-N-32",[608,3292],{"id":3293,"d":813},"MJX-28-TEX-I-1D44F",[608,3295],{"id":3296,"d":611},"MJX-28-TEX-N-33",[625,3298,3299],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,3300,3301,3337,3342],{"dataMmlNode":632},[625,3302,3303],{"dataMmlNode":1275,"dataMjxTexclass":1276},[625,3304,3305,3330,3335],{"dataMmlNode":2463},[625,3306,3307,3315,3320,3325],{"dataMmlNode":2466,"transform":3234},[625,3308,3309,3312],{"dataMmlNode":635},[637,3310],{"dataC":778,"xLinkHref":3311},"#MJX-28-TEX-N-31",[637,3313],{"dataC":1539,"xLinkHref":3314,"transform":784},"#MJX-28-TEX-N-34",[625,3316,3317],{"dataMmlNode":643,"transform":1277},[637,3318],{"dataC":966,"xLinkHref":3319},"#MJX-28-TEX-N-2212",[625,3321,3322],{"dataMmlNode":635,"transform":3250},[637,3323],{"dataC":782,"xLinkHref":3324},"#MJX-28-TEX-N-32",[625,3326,3327],{"dataMmlNode":852,"transform":3256},[637,3328],{"dataC":856,"xLinkHref":3329},"#MJX-28-TEX-I-1D44F",[625,3331,3332],{"dataMmlNode":635,"transform":3262},[637,3333],{"dataC":639,"xLinkHref":3334},"#MJX-28-TEX-N-33",[2504,3336],{"width":3268,"height":2531,"x":2532,"y":2533},[625,3338,3340],{"dataMmlNode":643,"transform":3339},"translate(2576.4,0)",[637,3341],{"dataC":966,"xLinkHref":3319},[625,3343,3345],{"dataMmlNode":852,"transform":3344},"translate(3576.6,0)",[637,3346],{"dataC":856,"xLinkHref":3329},"\nИ 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Получаем уравнение, которое нужно решить.",[473,3446,3448],{"id":3447},"_1",[588,3449,3451],{"className":3450,"jax":592},[591],[594,3452,3455,3478],{"style":2376,"xmlns":597,"width":3453,"height":3357,"role":600,"focusable":601,"viewBox":3454,"xmlnsXLink":603},"10.841ex","0 -1223.4 4791.7 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776",[605,3805,3806,3809,3812],{},[608,3807],{"id":3808,"d":830},"MJX-34-TEX-N-35",[608,3810],{"id":3811,"d":813},"MJX-34-TEX-I-1D44F",[608,3813],{"id":3814,"d":619},"MJX-34-TEX-N-3D",[625,3816,3817],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,3818,3819,3824,3829,3835],{"dataMmlNode":632},[625,3820,3821],{"dataMmlNode":635},[637,3822],{"dataC":885,"xLinkHref":3823},"#MJX-34-TEX-N-35",[625,3825,3826],{"dataMmlNode":852,"transform":784},[637,3827],{"dataC":856,"xLinkHref":3828},"#MJX-34-TEX-I-1D44F",[625,3830,3832],{"dataMmlNode":643,"transform":3831},"translate(1206.8,0)",[637,3833],{"dataC":659,"xLinkHref":3834},"#MJX-34-TEX-N-3D",[625,3836,3838],{"dataMmlNode":635,"transform":3837},"translate(2262.6,0)",[637,3839],{"dataC":885,"xLinkHref":3823},[473,3841,3843],{"id":3842},"_6",[588,3844,3846],{"className":3845,"jax":592},[591],[594,3847,3850,3861],{"style":596,"xmlns":597,"width":3848,"height":796,"role":600,"focusable":601,"viewBox":3849,"xmlnsXLink":603},"5.119ex","0 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число на экране на b, а выполняя вторую, заменяет число на экране на это же число, возведённое в квадрат.",[402,3903,2990],{},[402,3905,3906],{},"Известно, что программа 11112 переводит число 2 в число 100.",[402,3908,3909],{},"Определить значение b.",[473,3911,476],{"id":3912},"решение-6",[402,3914,3915,3916,3953,4029,4107,4186,4187,4258,4259,4352,4353,4460,4611],{},"Начнём делать с первоначальном числом 2 все команды:\n",[588,3917,3919],{"className":3918,"jax":592},[591],[594,3920,3923,3934],{"style":596,"xmlns":597,"width":3921,"height":796,"role":600,"focusable":601,"viewBox":3922,"xmlnsXLink":603},"4.868ex","0 -694 2151.4 776",[605,3924,3925,3928,3931],{},[608,3926],{"id":3927,"d":749},"MJX-36-TEX-N-32",[608,3929],{"id":3930,"d":615},"MJX-36-TEX-N-2B",[608,3932],{"id":3933,"d":813},"MJX-36-TEX-I-1D44F",[625,3935,3936],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,3937,3938,3943,3948],{"dataMmlNode":632},[625,3939,3940],{"dataMmlNode":635},[637,3941],{"dataC":782,"xLinkHref":3942},"#MJX-36-TEX-N-32",[625,3944,3945],{"dataMmlNode":643,"transform":644},[637,3946],{"dataC":647,"xLinkHref":3947},"#MJX-36-TEX-N-2B",[625,3949,3950],{"dataMmlNode":852,"transform":651},[637,3951],{"dataC":856,"xLinkHref":3952},"#MJX-36-TEX-I-1D44F",[588,3954,3956],{"className":3955,"jax":592},[591],[594,3957,3960,3974],{"style":596,"xmlns":597,"width":3958,"height":796,"role":600,"focusable":601,"viewBox":3959,"xmlnsXLink":603},"17.62ex","0 -694 7787.9 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сделали первые четыре команды из программы. Получили 2 + 4b. Теперь применим последнюю команду возведение в квадрат. В итоге получаем:\n",[588,4188,4190],{"className":4189,"jax":592},[591],[594,4191,4194,4214],{"style":1233,"xmlns":597,"width":4192,"height":1645,"role":600,"focusable":601,"viewBox":4193,"xmlnsXLink":603},"8.747ex","0 -833.9 3866 1083.9",[605,4195,4196,4199,4202,4205,4208,4211],{},[608,4197],{"id":4198,"d":1652},"MJX-40-TEX-N-28",[608,4200],{"id":4201,"d":749},"MJX-40-TEX-N-32",[608,4203],{"id":4204,"d":615},"MJX-40-TEX-N-2B",[608,4206],{"id":4207,"d":1518},"MJX-40-TEX-N-34",[608,4209],{"id":4210,"d":813},"MJX-40-TEX-I-1D44F",[608,4212],{"id":4213,"d":1668},"MJX-40-TEX-N-29",[625,4215,4216],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,4217,4218,4223,4228,4234,4240,4246],{"dataMmlNode":632},[625,4219,4220],{"dataMmlNode":643},[637,4221],{"dataC":1686,"xLinkHref":4222},"#MJX-40-TEX-N-28",[625,4224,4225],{"dataMmlNode":635,"transform":1690},[637,4226],{"dataC":782,"xLinkHref":4227},"#MJX-40-TEX-N-32",[625,4229,4231],{"dataMmlNode":643,"transform":4230},"translate(1111.2,0)",[637,4232],{"dataC":647,"xLinkHref":4233},"#MJX-40-TEX-N-2B",[625,4235,4237],{"dataMmlNode":635,"transform":4236},"translate(2111.4,0)",[637,4238],{"dataC":1539,"xLinkHref":4239},"#MJX-40-TEX-N-34",[625,4241,4243],{"dataMmlNode":852,"transform":4242},"translate(2611.4,0)",[637,4244],{"dataC":856,"xLinkHref":4245},"#MJX-40-TEX-I-1D44F",[625,4247,4248,4253],{"dataMmlNode":1743,"transform":1714},[625,4249,4250],{"dataMmlNode":643},[637,4251],{"dataC":1717,"xLinkHref":4252},"#MJX-40-TEX-N-29",[625,4254,4256],{"dataMmlNode":635,"transform":4255},"translate(422,363) scale(0.707)",[637,4257],{"dataC":782,"xLinkHref":4227},"\nЭто выражение должно равняться числу 100. Получается уравнение:\n",[588,4260,4262],{"className":4261,"jax":592},[591],[594,4263,4266,4295],{"style":1233,"xmlns":597,"width":4264,"height":1645,"role":600,"focusable":601,"viewBox":4265,"xmlnsXLink":603},"15.157ex","0 -833.9 6699.6 1083.9",[605,4267,4268,4271,4274,4277,4280,4283,4286,4289,4292],{},[608,4269],{"id":4270,"d":1652},"MJX-41-TEX-N-28",[608,4272],{"id":4273,"d":749},"MJX-41-TEX-N-32",[608,4275],{"id":4276,"d":615},"MJX-41-TEX-N-2B",[608,4278],{"id":4279,"d":1518},"MJX-41-TEX-N-34",[608,4281],{"id":4282,"d":813},"MJX-41-TEX-I-1D44F",[608,4284],{"id":4285,"d":1668},"MJX-41-TEX-N-29",[608,4287],{"id":4288,"d":619},"MJX-41-TEX-N-3D",[608,4290],{"id":4291,"d":745},"MJX-41-TEX-N-31",[608,4293],{"id":4294,"d":1076},"MJX-41-TEX-N-30",[625,4296,4297],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,4298,4299,4304,4309,4314,4319,4324,4335,4341],{"dataMmlNode":632},[625,4300,4301],{"dataMmlNode":643},[637,4302],{"dataC":1686,"xLinkHref":4303},"#MJX-41-TEX-N-28",[625,4305,4306],{"dataMmlNode":635,"transform":1690},[637,4307],{"dataC":782,"xLinkHref":4308},"#MJX-41-TEX-N-32",[625,4310,4311],{"dataMmlNode":643,"transform":4230},[637,4312],{"dataC":647,"xLinkHref":4313},"#MJX-41-TEX-N-2B",[625,4315,4316],{"dataMmlNode":635,"transform":4236},[637,4317],{"dataC":1539,"xLinkHref":4318},"#MJX-41-TEX-N-34",[625,4320,4321],{"dataMmlNode":852,"transform":4242},[637,4322],{"dataC":856,"xLinkHref":4323},"#MJX-41-TEX-I-1D44F",[625,4325,4326,4331],{"dataMmlNode":1743,"transform":1714},[625,4327,4328],{"dataMmlNode":643},[637,4329],{"dataC":1717,"xLinkHref":4330},"#MJX-41-TEX-N-29",[625,4332,4333],{"dataMmlNode":635,"transform":4255},[637,4334],{"dataC":782,"xLinkHref":4308},[625,4336,4338],{"dataMmlNode":643,"transform":4337},"translate(4143.8,0)",[637,4339],{"dataC":659,"xLinkHref":4340},"#MJX-41-TEX-N-3D",[625,4342,4344,4347,4350],{"dataMmlNode":635,"transform":4343},"translate(5199.6,0)",[637,4345],{"dataC":778,"xLinkHref":4346},"#MJX-41-TEX-N-31",[637,4348],{"dataC":1094,"xLinkHref":4349,"transform":784},"#MJX-41-TEX-N-30",[637,4351],{"dataC":1094,"xLinkHref":4349,"transform":1277},"\nВоспользуемся формулой разностью квадратов:\n",[588,4354,4356],{"className":4355,"jax":592},[591],[594,4357,4360,4392],{"style":1233,"xmlns":597,"width":4358,"height":1645,"role":600,"focusable":601,"viewBox":4359,"xmlnsXLink":603},"19.054ex","0 -833.9 8422 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+ 4b - 10 = 0 или 2 + 4b + 10 = 0. Сокращаем: 4b - 8 = 0 или 4b + 12 = 0",[402,4613,4614],{},"В правом уравнении получается отрицательное b. Оно нам не подходит, т.к. b — натуральное число. Левое уравнение даёт результат: 4b - 8 = 0 → 4b = 8 → b = 8 \u002F 4 = 2.",[402,4616,4617],{},[406,4618,4619],{},"Ответ: 2",[438,4621,4623],{"id":4622},"задача-8-припиши-справа-b","Задача 8 (Припиши справа b)",[402,4625,4626],{},"У исполнителя Сигмы две команды, которым присвоены номера:",[446,4628,4629,4632],{},[449,4630,4631],{},"вычти 1",[449,4633,4634],{},"припиши справа b(b — неизвестная цифра)",[402,4636,4637],{},"Выполняя первую из них, Сигма уменьшает число на экране на 1, а выполняя вторую, приписывает к этому числу справа b.",[402,4639,4640],{},"Алгоритм для исполнителя Сигма — это последовательность номеров команд.",[402,4642,4643],{},"Известно, что алгоритм 12121 переводит число 3 в число 244.",[402,4645,4646],{},"Определите число b.",[473,4648,476],{"id":4649},"решение-7",[402,4651,4652],{},"Действие приписать справа b — это значит умножить число на 10 и прибавить b. Пример: пусть b = 3, применим эту команду к числу 4. Тогда 4 * 10 + 3 = 43.",[402,4654,4655,4656,4707,4793,4882,5045],{},"Выполним программу с первоначальным числом 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776",[605,5248,5249,5252,5255,5258],{},[608,5250],{"id":5251,"d":745},"MJX-50-TEX-N-31",[608,5253],{"id":5254,"d":813},"MJX-50-TEX-I-1D44F",[608,5256],{"id":5257,"d":619},"MJX-50-TEX-N-3D",[608,5259],{"id":5260,"d":830},"MJX-50-TEX-N-35",[625,5262,5263],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,5264,5265,5272,5277,5283],{"dataMmlNode":632},[625,5266,5267,5270],{"dataMmlNode":635},[637,5268],{"dataC":778,"xLinkHref":5269},"#MJX-50-TEX-N-31",[637,5271],{"dataC":778,"xLinkHref":5269,"transform":784},[625,5273,5274],{"dataMmlNode":852,"transform":1277},[637,5275],{"dataC":856,"xLinkHref":5276},"#MJX-50-TEX-I-1D44F",[625,5278,5280],{"dataMmlNode":643,"transform":5279},"translate(1706.8,0)",[637,5281],{"dataC":659,"xLinkHref":5282},"#MJX-50-TEX-N-3D",[625,5284,5285,5288],{"dataMmlNode":635,"transform":1450},[637,5286],{"dataC":885,"xLinkHref":5287},"#MJX-50-TEX-N-35",[637,5289],{"dataC":885,"xLinkHref":5287,"transform":784},[588,5291,5293],{"className":5292,"jax":592},[591],[594,5294,5295,5306],{"style":596,"xmlns":597,"width":3848,"height":796,"role":600,"focusable":601,"viewBox":3849,"xmlnsXLink":603},[605,5296,5297,5300,5303],{},[608,5298],{"id":5299,"d":813},"MJX-51-TEX-I-1D44F",[608,5301],{"id":5302,"d":619},"MJX-51-TEX-N-3D",[608,5304],{"id":5305,"d":830},"MJX-51-TEX-N-35",[625,5307,5308],{"stroke":627,"fill":627,"stroke-width":628,"transform":629},[625,5309,5310,5315,5320],{"dataMmlNode":632},[625,5311,5312],{"dataMmlNode":852},[637,5313],{"dataC":856,"xLinkHref":5314},"#MJX-51-TEX-I-1D44F",[625,5316,5317],{"dataMmlNode":643,"transform":1019},[637,5318],{"dataC":659,"xLinkHref":5319},"#MJX-51-TEX-N-3D",[625,5321,5322],{"dataMmlNode":635,"transform":1025},[637,5323],{"dataC":885,"xLinkHref":5324},"#MJX-51-TEX-N-35",[402,5326,5327],{},[406,5328,5329],{},"Ответ: 5",[438,5331,5333],{"id":5332},"задача-9-огэ-2026","Задача 9 (ОГЭ 2026)",[402,5335,506],{},[446,5337,5338,5340],{},[449,5339,511],{},[449,5341,5342],{},"прибавь 1\nПервая из них возводит число на экране во вторую степень, вторая – прибавляет к числу 1.\nСоставьте алгоритм получения из числа 3 числа 84, содержащий не более 5 команд.\nВ ответе запишите только номера команд.",[402,5344,5345,5348],{},[418,5346,5347],{},"(Например, 21221 – это алгоритм прибавь 1; возведи в квадрат; прибавь 1; прибавь 1; возведи в квадрат, который преобразует число 1 в число 36.)","\nЕсли таких алгоритмов более одного, то запишите любой из них.",[473,5350,476],{"id":5351},"решение-8",[402,5353,5354],{},"Нам нужно получить из 3 число 84, используя только две вышеуказанные команды.\nПробуем составить команды.\nВсегда знаем что, решение точно есть! Следим также за тем, чтобы длина алгоритма не превысила 5 команд!",[402,5356,5357],{},"3 * 3 → 9 (Команда 1)",[402,5359,5360],{},"9 * 9 = 81 (Команда 1)",[402,5362,5363],{},"81 + 1 → 82 (Команда 2)",[402,5365,5366],{},"82 + 1 = 83 (Команда 2)",[402,5368,5369],{},"83 + 1 = 84 (Команда 2)",[402,5371,5372],{},[406,5373,5374],{},"Ответ: 11222",[5376,5377,5378],"style",{},"\nmjx-container[jax=\"SVG\"] {\n  direction: ltr;\n}\n\nmjx-container[jax=\"SVG\"] > svg {\n  overflow: visible;\n  min-height: 1px;\n  min-width: 1px;\n}\n\nmjx-container[jax=\"SVG\"] > svg a {\n  fill: blue;\n  stroke: blue;\n}\n\nmjx-container[jax=\"SVG\"][display=\"true\"] {\n  display: block;\n  text-align: center;\n  margin: 1em 0;\n}\n\nmjx-container[jax=\"SVG\"][display=\"true\"][width=\"full\"] {\n  display: flex;\n}\n\nmjx-container[jax=\"SVG\"][justify=\"left\"] {\n  text-align: left;\n}\n\nmjx-container[jax=\"SVG\"][justify=\"right\"] {\n  text-align: right;\n}\n\ng[data-mml-node=\"merror\"] > g {\n  fill: red;\n  stroke: red;\n}\n\ng[data-mml-node=\"merror\"] > rect[data-background] {\n  fill: yellow;\n  stroke: none;\n}\n\ng[data-mml-node=\"mtable\"] > line[data-line], svg[data-table] > g > line[data-line] {\n  stroke-width: 70px;\n  fill: none;\n}\n\ng[data-mml-node=\"mtable\"] > rect[data-frame], svg[data-table] > g > rect[data-frame] {\n  stroke-width: 70px;\n  fill: none;\n}\n\ng[data-mml-node=\"mtable\"] > .mjx-dashed, svg[data-table] > g > .mjx-dashed {\n  stroke-dasharray: 140;\n}\n\ng[data-mml-node=\"mtable\"] > .mjx-dotted, svg[data-table] > g > .mjx-dotted {\n  stroke-linecap: round;\n  stroke-dasharray: 0,140;\n}\n\ng[data-mml-node=\"mtable\"] > g > svg {\n  overflow: visible;\n}\n\n[jax=\"SVG\"] mjx-tool {\n  display: inline-block;\n  position: relative;\n  width: 0;\n  height: 0;\n}\n\n[jax=\"SVG\"] mjx-tool > mjx-tip {\n  position: absolute;\n  top: 0;\n  left: 0;\n}\n\nmjx-tool > mjx-tip {\n  display: inline-block;\n  padding: .2em;\n  border: 1px solid #888;\n  font-size: 70%;\n  background-color: #F8F8F8;\n  color: black;\n  box-shadow: 2px 2px 5px #AAAAAA;\n}\n\ng[data-mml-node=\"maction\"][data-toggle] {\n  cursor: pointer;\n}\n\nmjx-status {\n  display: block;\n  position: fixed;\n  left: 1em;\n  bottom: 1em;\n  min-width: 25%;\n  padding: .2em .4em;\n  border: 1px solid #888;\n  font-size: 90%;\n  background-color: #F8F8F8;\n  color: black;\n}\n\nforeignObject[data-mjx-xml] {\n  font-family: initial;\n  line-height: normal;\n  overflow: visible;\n}\n\nmjx-container[jax=\"SVG\"] path[data-c], mjx-container[jax=\"SVG\"] use[data-c] {\n  stroke-width: 3;\n}\n",{"title":3350,"searchDepth":5380,"depth":5381,"links":5382},2,5,[5383],{"id":399,"depth":5380,"text":400,"children":5384},[5385,5389,5392,5395,5398,5401,5411,5414,5417],{"id":440,"depth":5386,"text":441,"children":5387},4,[5388],{"id":475,"depth":5381,"text":476},{"id":502,"depth":5386,"text":503,"children":5390},[5391],{"id":533,"depth":5381,"text":476},{"id":559,"depth":5386,"text":560,"children":5393},[5394],{"id":580,"depth":5381,"text":476},{"id":1040,"depth":5386,"text":1041,"children":5396},[5397],{"id":1057,"depth":5381,"text":476},{"id":1480,"depth":5386,"text":1481,"children":5399},[5400],{"id":1500,"depth":5381,"text":476},{"id":2973,"depth":5386,"text":2974,"children":5402},[5403,5404,5405,5406,5407,5408,5409,5410],{"id":2998,"depth":5381,"text":476},{"id":3350,"depth":5381,"text":3350},{"id":3447,"depth":5381,"text":3350},{"id":3551,"depth":5381,"text":3350},{"id":3645,"depth":5381,"text":3350},{"id":3737,"depth":5381,"text":3350},{"id":3796,"depth":5381,"text":3350},{"id":3842,"depth":5381,"text":3350},{"id":3887,"depth":5386,"text":3888,"children":5412},[5413],{"id":3912,"depth":5381,"text":476},{"id":4622,"depth":5386,"text":4623,"children":5415},[5416],{"id":4649,"depth":5381,"text":476},{"id":5332,"depth":5386,"text":5333,"children":5418},[5419],{"id":5351,"depth":5381,"text":476},"2025-12-06","Простой линейный алгоритм для формального исполнителя","md","images\u002Fblog\u002Foge\u002Ftask5\u002Fimg.png",{},16,true,{"title":165,"description":5421},"O8hkI5cuImjvTla1xhSJCUy7BgQvJXmM6geFeUsT1oY",[5430,5432],{"title":161,"path":162,"stem":163,"description":5431,"children":-1},"Формальные описания реальных объектов и процессов",{"title":169,"path":170,"stem":171,"description":5433,"children":-1},"Программа с условным оператором",1780737501513]