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425T55 580Z",[475,508],{"id":509,"d":510},"MJX-1-TEX-N-3C","M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z",[475,512],{"id":513,"d":514},"MJX-1-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",[475,516],{"id":517,"d":518},"MJX-1-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",[475,520],{"id":521,"d":522},"MJX-1-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",[475,524],{"id":525,"d":526},"MJX-1-TEX-N-3F","M226 668Q190 668 162 656T124 632L114 621Q116 621 119 620T130 616T145 607T157 591T162 567Q162 544 147 529T109 514T71 528T55 566Q55 625 100 661T199 704Q201 704 210 704T224 705H228Q281 705 320 692T378 656T407 612T416 567Q416 503 361 462Q267 395 247 303Q242 279 242 241V224Q242 205 239 202T222 198T205 201T202 218V249Q204 320 220 371T255 445T292 491T315 537Q317 546 317 574V587Q317 604 315 615T304 640T277 661T226 668ZM162 61Q162 89 180 105T224 121Q247 119 264 104T281 61Q281 31 264 16T222 1Q197 1 180 16T162 61Z",[528,529,533],"g",{"stroke":530,"fill":530,"stroke-width":531,"transform":532},"currentColor","0","scale(1,-1)",[528,534,536,548,555,574,581,588,595,602,609,614,619,624,631,638,643,648,653,658,663,675,680,685],{"dataMmlNode":535},"math",[528,537,540],{"dataMmlNode":538,"dataMjxTexclass":539},"TeXAtom","ORD",[528,541,543],{"dataMmlNode":542},"mo",[544,545],"use",{"dataC":546,"xLinkHref":547},"AC","#MJX-1-TEX-N-AC",[528,549,551],{"dataMmlNode":542,"transform":550},"translate(667,0)",[544,552],{"dataC":553,"xLinkHref":554},"28","#MJX-1-TEX-N-28",[528,556,559,566],{"dataMmlNode":557,"transform":558},"msup","translate(1056,0)",[528,560,562],{"dataMmlNode":561},"mi",[544,563],{"dataC":564,"xLinkHref":565},"1D44B","#MJX-1-TEX-I-1D44B",[528,567,570],{"dataMmlNode":568,"transform":569},"mn","translate(936.2,363) scale(0.707)",[544,571],{"dataC":572,"xLinkHref":573},"32","#MJX-1-TEX-N-32",[528,575,577],{"dataMmlNode":542,"transform":576},"translate(2673.5,0)",[544,578],{"dataC":579,"xLinkHref":580},"2265","#MJX-1-TEX-N-2265",[528,582,584],{"dataMmlNode":568,"transform":583},"translate(3729.3,0)",[544,585],{"dataC":586,"xLinkHref":587},"39","#MJX-1-TEX-N-39",[528,589,591],{"dataMmlNode":542,"transform":590},"translate(4229.3,0)",[544,592],{"dataC":593,"xLinkHref":594},"29","#MJX-1-TEX-N-29",[528,596,598],{"dataMmlNode":542,"transform":597},"translate(4840.5,0)",[544,599],{"dataC":600,"xLinkHref":601},"2228","#MJX-1-TEX-N-2228",[528,603,605],{"dataMmlNode":538,"dataMjxTexclass":539,"transform":604},"translate(5729.8,0)",[528,606,607],{"dataMmlNode":542},[544,608],{"dataC":546,"xLinkHref":547},[528,610,612],{"dataMmlNode":542,"transform":611},"translate(6396.8,0)",[544,613],{"dataC":553,"xLinkHref":554},[528,615,617],{"dataMmlNode":542,"transform":616},"translate(6785.8,0)",[544,618],{"dataC":553,"xLinkHref":554},[528,620,622],{"dataMmlNode":561,"transform":621},"translate(7174.8,0)",[544,623],{"dataC":564,"xLinkHref":565},[528,625,627],{"dataMmlNode":542,"transform":626},"translate(8304.5,0)",[544,628],{"dataC":629,"xLinkHref":630},"3C","#MJX-1-TEX-N-3C",[528,632,634],{"dataMmlNode":568,"transform":633},"translate(9360.3,0)",[544,635],{"dataC":636,"xLinkHref":637},"37","#MJX-1-TEX-N-37",[528,639,641],{"dataMmlNode":542,"transform":640},"translate(9860.3,0)",[544,642],{"dataC":593,"xLinkHref":594},[528,644,646],{"dataMmlNode":542,"transform":645},"translate(10471.5,0)",[544,647],{"dataC":600,"xLinkHref":601},[528,649,651],{"dataMmlNode":542,"transform":650},"translate(11360.8,0)",[544,652],{"dataC":553,"xLinkHref":554},[528,654,656],{"dataMmlNode":561,"transform":655},"translate(11749.8,0)",[544,657],{"dataC":564,"xLinkHref":565},[528,659,661],{"dataMmlNode":542,"transform":660},"translate(12879.5,0)",[544,662],{"dataC":579,"xLinkHref":580},[528,664,666,670],{"dataMmlNode":568,"transform":665},"translate(13935.3,0)",[544,667],{"dataC":668,"xLinkHref":669},"31","#MJX-1-TEX-N-31",[544,671],{"dataC":672,"xLinkHref":673,"transform":674},"30","#MJX-1-TEX-N-30","translate(500,0)",[528,676,678],{"dataMmlNode":542,"transform":677},"translate(14935.3,0)",[544,679],{"dataC":593,"xLinkHref":594},[528,681,683],{"dataMmlNode":542,"transform":682},"translate(15324.3,0)",[544,684],{"dataC":593,"xLinkHref":594},[528,686,688],{"dataMmlNode":542,"transform":687},"translate(15713.3,0)",[544,689],{"dataC":690,"xLinkHref":691},"3F","#MJX-1-TEX-N-3F",[693,694,696],"h5",{"id":695},"решение","Решение:",[698,699,701],"h6",{"id":700},"решение-python","Решение Python",[703,704,709],"pre",{"className":705,"code":706,"language":707,"meta":708,"style":708},"language-python shiki shiki-themes github-light","k = 0\nfor x in range(1, 1000):\n    if not(x**2 >= 9) or not((x \u003C 7) or (x >= 10)):\n        k += 1\nprint(k)\n","python","",[710,711,712,729,759,816,828],"code",{"__ignoreMap":708},[713,714,717,721,725],"span",{"class":715,"line":716},"line",1,[713,718,720],{"class":719},"sgsFI","k ",[713,722,724],{"class":723},"sD7c4","=",[713,726,728],{"class":727},"sYu0t"," 0\n",[713,730,732,735,738,741,744,747,750,753,756],{"class":715,"line":731},2,[713,733,734],{"class":723},"for",[713,736,737],{"class":719}," x ",[713,739,740],{"class":723},"in",[713,742,743],{"class":727}," range",[713,745,746],{"class":719},"(",[713,748,749],{"class":727},"1",[713,751,752],{"class":719},", ",[713,754,755],{"class":727},"1000",[713,757,758],{"class":719},"):\n",[713,760,762,765,768,771,774,777,780,783,786,789,791,794,797,800,802,804,807,810,813],{"class":715,"line":761},3,[713,763,764],{"class":723},"    if",[713,766,767],{"class":723}," not",[713,769,770],{"class":719},"(x",[713,772,773],{"class":723},"**",[713,775,776],{"class":727},"2",[713,778,779],{"class":723}," >=",[713,781,782],{"class":727}," 9",[713,784,785],{"class":719},") ",[713,787,788],{"class":723},"or",[713,790,767],{"class":723},[713,792,793],{"class":719},"((x ",[713,795,796],{"class":723},"\u003C",[713,798,799],{"class":727}," 7",[713,801,785],{"class":719},[713,803,788],{"class":723},[713,805,806],{"class":719}," (x ",[713,808,809],{"class":723},">=",[713,811,812],{"class":727}," 10",[713,814,815],{"class":719},")):\n",[713,817,819,822,825],{"class":715,"line":818},4,[713,820,821],{"class":719},"        k ",[713,823,824],{"class":723},"+=",[713,826,827],{"class":727}," 1\n",[713,829,831,834],{"class":715,"line":830},5,[713,832,833],{"class":727},"print",[713,835,836],{"class":719},"(k)\n",[402,838,839,840,842,843,846,847,850],{},"Заводим переменную счётчик в которой будет ответ. Перебираем с помощью цикла ",[406,841,734],{}," натуральные числа от 1 до 1000 (можно и меньше 1000, но лучше проверить больший диапазон чисел). Внутри цикла пропишем после оператора ",[406,844,845],{},"if"," логическое выражение. Если логическое вернуло ",[406,848,849],{},"True"," (истина), то подсчитываем такой вариант в переменную счётчика. В конце работы цикла выводим на консоль ответ на задачу: значение переменной счётчика.",[402,852,853],{},[406,854,855],{},"Ответ: 5",[402,857,858],{},[418,859,860],{},"Задача очень проста. Рассмотрим далее другие варианты и посложнее.",[447,862,864],{"id":863},"задача-2-неравенство-с-тремя-переменными","Задача 2 (Неравенство с тремя переменными)",[402,866,867,868,1039],{},"Для какого наибольшего целого неотрицательного числа A выражение:\n",[455,869,871],{"className":870,"jax":459},[458],[461,872,876,919],{"style":463,"xmlns":464,"width":873,"height":874,"role":467,"focusable":468,"viewBox":875,"xmlnsXLink":470},"35.593ex","2.262ex","0 -750 15732 1000",[472,877,878,881,884,887,891,894,897,901,905,909,912,915],{},[475,879],{"id":880,"d":482},"MJX-2-TEX-N-28",[475,882],{"id":883,"d":486},"MJX-2-TEX-I-1D44B",[475,885],{"id":886,"d":494},"MJX-2-TEX-N-2265",[475,888],{"id":889,"d":890},"MJX-2-TEX-I-1D434","M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z",[475,892],{"id":893,"d":502},"MJX-2-TEX-N-29",[475,895],{"id":896,"d":506},"MJX-2-TEX-N-2228",[475,898],{"id":899,"d":900},"MJX-2-TEX-I-1D44C","M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637Z",[475,902],{"id":903,"d":904},"MJX-2-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",[475,906],{"id":907,"d":908},"MJX-2-TEX-N-2264","M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z",[475,910],{"id":911,"d":490},"MJX-2-TEX-N-32",[475,913],{"id":914,"d":522},"MJX-2-TEX-N-30",[475,916],{"id":917,"d":918},"MJX-2-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",[528,920,921],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,922,923,928,934,940,947,953,959,964,971,976,981,986,991,996,1001,1008,1013,1020,1034],{"dataMmlNode":535},[528,924,925],{"dataMmlNode":542},[544,926],{"dataC":553,"xLinkHref":927},"#MJX-2-TEX-N-28",[528,929,931],{"dataMmlNode":561,"transform":930},"translate(389,0)",[544,932],{"dataC":564,"xLinkHref":933},"#MJX-2-TEX-I-1D44B",[528,935,937],{"dataMmlNode":542,"transform":936},"translate(1518.8,0)",[544,938],{"dataC":579,"xLinkHref":939},"#MJX-2-TEX-N-2265",[528,941,943],{"dataMmlNode":561,"transform":942},"translate(2574.6,0)",[544,944],{"dataC":945,"xLinkHref":946},"1D434","#MJX-2-TEX-I-1D434",[528,948,950],{"dataMmlNode":542,"transform":949},"translate(3324.6,0)",[544,951],{"dataC":593,"xLinkHref":952},"#MJX-2-TEX-N-29",[528,954,956],{"dataMmlNode":542,"transform":955},"translate(3935.8,0)",[544,957],{"dataC":600,"xLinkHref":958},"#MJX-2-TEX-N-2228",[528,960,962],{"dataMmlNode":542,"transform":961},"translate(4825,0)",[544,963],{"dataC":553,"xLinkHref":927},[528,965,967],{"dataMmlNode":561,"transform":966},"translate(5214,0)",[544,968],{"dataC":969,"xLinkHref":970},"1D44C","#MJX-2-TEX-I-1D44C",[528,972,974],{"dataMmlNode":542,"transform":973},"translate(6254.8,0)",[544,975],{"dataC":579,"xLinkHref":939},[528,977,979],{"dataMmlNode":561,"transform":978},"translate(7310.6,0)",[544,980],{"dataC":945,"xLinkHref":946},[528,982,984],{"dataMmlNode":542,"transform":983},"translate(8060.6,0)",[544,985],{"dataC":593,"xLinkHref":952},[528,987,989],{"dataMmlNode":542,"transform":988},"translate(8671.8,0)",[544,990],{"dataC":600,"xLinkHref":958},[528,992,994],{"dataMmlNode":542,"transform":993},"translate(9561,0)",[544,995],{"dataC":553,"xLinkHref":927},[528,997,999],{"dataMmlNode":561,"transform":998},"translate(9950,0)",[544,1000],{"dataC":564,"xLinkHref":933},[528,1002,1004],{"dataMmlNode":542,"transform":1003},"translate(11024.2,0)",[544,1005],{"dataC":1006,"xLinkHref":1007},"2217","#MJX-2-TEX-N-2217",[528,1009,1011],{"dataMmlNode":561,"transform":1010},"translate(11746.4,0)",[544,1012],{"dataC":969,"xLinkHref":970},[528,1014,1016],{"dataMmlNode":542,"transform":1015},"translate(12787.2,0)",[544,1017],{"dataC":1018,"xLinkHref":1019},"2264","#MJX-2-TEX-N-2264",[528,1021,1023,1026,1029],{"dataMmlNode":568,"transform":1022},"translate(13843,0)",[544,1024],{"dataC":572,"xLinkHref":1025},"#MJX-2-TEX-N-32",[544,1027],{"dataC":672,"xLinkHref":1028,"transform":674},"#MJX-2-TEX-N-30",[544,1030],{"dataC":1031,"xLinkHref":1032,"transform":1033},"35","#MJX-2-TEX-N-35","translate(1000,0)",[528,1035,1037],{"dataMmlNode":542,"transform":1036},"translate(15343,0)",[544,1038],{"dataC":593,"xLinkHref":952},"\nтождественно истинно, т.е. принимает значение 1 при любых целых положительных x и y?",[693,1041,696],{"id":1042},"решение-1",[698,1044,701],{"id":1045},"решение-python-1",[703,1047,1049],{"className":705,"code":1048,"language":707,"meta":708,"style":708},"mx = 0\nfor A in range(0, 100):\n    k = 0\n    for X in range(1, 301):\n        for Y in range(1, 301):\n            if (X >= A) or (Y >= A) or (X * Y \u003C= 205):\n                k += 1\n    if k == 300 * 300:\n        mx = max(mx, A)\nprint(mx)\n",[710,1050,1051,1060,1082,1091,1114,1136,1176,1186,1208,1222],{"__ignoreMap":708},[713,1052,1053,1056,1058],{"class":715,"line":716},[713,1054,1055],{"class":719},"mx ",[713,1057,724],{"class":723},[713,1059,728],{"class":727},[713,1061,1062,1064,1067,1069,1071,1073,1075,1077,1080],{"class":715,"line":731},[713,1063,734],{"class":723},[713,1065,1066],{"class":719}," A ",[713,1068,740],{"class":723},[713,1070,743],{"class":727},[713,1072,746],{"class":719},[713,1074,531],{"class":727},[713,1076,752],{"class":719},[713,1078,1079],{"class":727},"100",[713,1081,758],{"class":719},[713,1083,1084,1087,1089],{"class":715,"line":761},[713,1085,1086],{"class":719},"    k ",[713,1088,724],{"class":723},[713,1090,728],{"class":727},[713,1092,1093,1096,1099,1101,1103,1105,1107,1109,1112],{"class":715,"line":818},[713,1094,1095],{"class":723},"    for",[713,1097,1098],{"class":719}," X ",[713,1100,740],{"class":723},[713,1102,743],{"class":727},[713,1104,746],{"class":719},[713,1106,749],{"class":727},[713,1108,752],{"class":719},[713,1110,1111],{"class":727},"301",[713,1113,758],{"class":719},[713,1115,1116,1119,1122,1124,1126,1128,1130,1132,1134],{"class":715,"line":830},[713,1117,1118],{"class":723},"        for",[713,1120,1121],{"class":719}," Y ",[713,1123,740],{"class":723},[713,1125,743],{"class":727},[713,1127,746],{"class":719},[713,1129,749],{"class":727},[713,1131,752],{"class":719},[713,1133,1111],{"class":727},[713,1135,758],{"class":719},[713,1137,1139,1142,1145,1147,1150,1152,1155,1157,1159,1161,1163,1166,1168,1171,1174],{"class":715,"line":1138},6,[713,1140,1141],{"class":723},"            if",[713,1143,1144],{"class":719}," (X ",[713,1146,809],{"class":723},[713,1148,1149],{"class":719}," A) ",[713,1151,788],{"class":723},[713,1153,1154],{"class":719}," (Y ",[713,1156,809],{"class":723},[713,1158,1149],{"class":719},[713,1160,788],{"class":723},[713,1162,1144],{"class":719},[713,1164,1165],{"class":723},"*",[713,1167,1121],{"class":719},[713,1169,1170],{"class":723},"\u003C=",[713,1172,1173],{"class":727}," 205",[713,1175,758],{"class":719},[713,1177,1179,1182,1184],{"class":715,"line":1178},7,[713,1180,1181],{"class":719},"                k ",[713,1183,824],{"class":723},[713,1185,827],{"class":727},[713,1187,1189,1191,1194,1197,1200,1203,1205],{"class":715,"line":1188},8,[713,1190,764],{"class":723},[713,1192,1193],{"class":719}," k ",[713,1195,1196],{"class":723},"==",[713,1198,1199],{"class":727}," 300",[713,1201,1202],{"class":723}," *",[713,1204,1199],{"class":727},[713,1206,1207],{"class":719},":\n",[713,1209,1211,1214,1216,1219],{"class":715,"line":1210},9,[713,1212,1213],{"class":719},"        mx ",[713,1215,724],{"class":723},[713,1217,1218],{"class":727}," max",[713,1220,1221],{"class":719},"(mx, A)\n",[713,1223,1225,1227],{"class":715,"line":1224},10,[713,1226,833],{"class":727},[713,1228,1229],{"class":719},"(mx)\n",[1231,1232,1233,1241,1250,1259,1268,1287,1293,1305,1312,1321],"ol",{},[1234,1235,1236,1237,1240],"li",{},"Заводим переменную по которой будем вычислять максимальное значение для ",[406,1238,1239],{},"А",";",[1234,1242,1243,1244,1246,1247,1240],{},"В цикле ",[406,1245,734],{}," перебираем возможные значения для ",[406,1248,1249],{},"A",[1234,1251,1252,1253,1255,1256,1258],{},"Каждую итерацию цикла ",[406,1254,734],{}," для ",[406,1257,1249],{}," инициализируем переменную счётчик нулём;",[1234,1260,1261,1262,1264,1265,1240],{},"Создаём цикл ",[406,1263,734],{}," для перебора значений ",[406,1266,1267],{},"X",[1234,1269,1270,1271,1255,1273,1275,1276,1255,1278,1281,1282,1284,1285,1240],{},"Внутри цикла ",[406,1272,734],{},[406,1274,1267],{}," создаём цикл ",[406,1277,734],{},[406,1279,1280],{},"Y",". Таким образом перебираем все возможные комбинации ",[406,1283,1267],{}," и ",[406,1286,1280],{},[1234,1288,1289,1290,1240],{},"Внутри цикла для условия if прописываем логическое выражения из задания. Если бы у нас в задании спросили тождественно ложно — тогда можно всё выражение взять в скобки и инвертировать через оператор ",[406,1291,1292],{},"not",[1234,1294,1295,1296,1299,1300,1302,1303,1240],{},"Увеличиваем переменную счётчика ",[406,1297,1298],{},"k"," на ",[406,1301,749],{}," если прошли условие в операторе ",[406,1304,845],{},[1234,1306,1307,1308,1284,1310,1240],{},"Далее когда двое циклов отработали проверяем чтобы значение переменной счётчика соответствовало количеству запусков обоих циклов для ",[406,1309,1267],{},[406,1311,1280],{},[1234,1313,1314,1315,1317,1318,1240],{},"Вычисляем максимальное значение для ",[406,1316,1249],{}," через функцию ",[406,1319,1320],{},"max",[1234,1322,1323],{},"Вывод ответа на задачу в консоль.",[402,1325,1326],{},[406,1327,1328],{},"Ответ: 15",[447,1330,1332],{"id":1331},"задача-3-функция-дел","Задача 3 (Функция ДЕЛ)",[402,1334,1335],{},"Обозначим через DEL(n, m) утверждение «натуральное число n делится без остатка на натуральное число m».\nДля какого наибольшего натурального числа А формула:",[402,1337,1338,1563],{},[455,1339,1341],{"className":1340,"jax":459},[458],[461,1342,1345,1386],{"style":463,"xmlns":464,"width":1343,"height":874,"role":467,"focusable":468,"viewBox":1344,"xmlnsXLink":470},"44.946ex","0 -750 19866.1 1000",[472,1346,1347,1350,1354,1358,1362,1365,1368,1372,1375,1379,1383],{},[475,1348],{"id":1349,"d":478},"MJX-3-TEX-N-AC",[475,1351],{"id":1352,"d":1353},"MJX-3-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 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z",[475,1355],{"id":1356,"d":1357},"MJX-3-TEX-I-1D438","M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z",[475,1359],{"id":1360,"d":1361},"MJX-3-TEX-I-1D43F","M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z",[475,1363],{"id":1364,"d":482},"MJX-3-TEX-N-28",[475,1366],{"id":1367,"d":486},"MJX-3-TEX-I-1D44B",[475,1369],{"id":1370,"d":1371},"MJX-3-TEX-N-2C","M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z",[475,1373],{"id":1374,"d":502},"MJX-3-TEX-N-29",[475,1376],{"id":1377,"d":1378},"MJX-3-TEX-N-2192","M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z",[475,1380],{"id":1381,"d":1382},"MJX-3-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",[475,1384],{"id":1385,"d":498},"MJX-3-TEX-N-39",[528,1387,1388],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,1389,1390,1397,1403,1410,1417,1423,1429,1436,1445,1451,1458,1463,1468,1473,1478,1483,1488,1493,1500,1505,1510,1517,1522,1527,1532,1537,1542,1547,1553,1558],{"dataMmlNode":535},[528,1391,1392],{"dataMmlNode":538,"dataMjxTexclass":539},[528,1393,1394],{"dataMmlNode":542},[544,1395],{"dataC":546,"xLinkHref":1396},"#MJX-3-TEX-N-AC",[528,1398,1399],{"dataMmlNode":561,"transform":550},[544,1400],{"dataC":1401,"xLinkHref":1402},"1D437","#MJX-3-TEX-I-1D437",[528,1404,1406],{"dataMmlNode":561,"transform":1405},"translate(1495,0)",[544,1407],{"dataC":1408,"xLinkHref":1409},"1D438","#MJX-3-TEX-I-1D438",[528,1411,1413],{"dataMmlNode":561,"transform":1412},"translate(2259,0)",[544,1414],{"dataC":1415,"xLinkHref":1416},"1D43F","#MJX-3-TEX-I-1D43F",[528,1418,1420],{"dataMmlNode":542,"transform":1419},"translate(2940,0)",[544,1421],{"dataC":553,"xLinkHref":1422},"#MJX-3-TEX-N-28",[528,1424,1426],{"dataMmlNode":561,"transform":1425},"translate(3329,0)",[544,1427],{"dataC":564,"xLinkHref":1428},"#MJX-3-TEX-I-1D44B",[528,1430,1432],{"dataMmlNode":542,"transform":1431},"translate(4181,0)",[544,1433],{"dataC":1434,"xLinkHref":1435},"2C","#MJX-3-TEX-N-2C",[528,1437,1439],{"dataMmlNode":561,"transform":1438},"translate(4625.7,0)",[1440,1441,1239],"text",{"dataVariant":1442,"transform":532,"font-size":1443,"font-family":1444,"font-style":1442},"italic","884px","serif",[528,1446,1448],{"dataMmlNode":542,"transform":1447},"translate(5225.7,0)",[544,1449],{"dataC":593,"xLinkHref":1450},"#MJX-3-TEX-N-29",[528,1452,1454],{"dataMmlNode":542,"transform":1453},"translate(5892.4,0)",[544,1455],{"dataC":1456,"xLinkHref":1457},"2192","#MJX-3-TEX-N-2192",[528,1459,1461],{"dataMmlNode":542,"transform":1460},"translate(7170.2,0)",[544,1462],{"dataC":553,"xLinkHref":1422},[528,1464,1466],{"dataMmlNode":561,"transform":1465},"translate(7559.2,0)",[544,1467],{"dataC":1401,"xLinkHref":1402},[528,1469,1471],{"dataMmlNode":561,"transform":1470},"translate(8387.2,0)",[544,1472],{"dataC":1408,"xLinkHref":1409},[528,1474,1476],{"dataMmlNode":561,"transform":1475},"translate(9151.2,0)",[544,1477],{"dataC":1415,"xLinkHref":1416},[528,1479,1481],{"dataMmlNode":542,"transform":1480},"translate(9832.2,0)",[544,1482],{"dataC":553,"xLinkHref":1422},[528,1484,1486],{"dataMmlNode":561,"transform":1485},"translate(10221.2,0)",[544,1487],{"dataC":564,"xLinkHref":1428},[528,1489,1491],{"dataMmlNode":542,"transform":1490},"translate(11073.2,0)",[544,1492],{"dataC":1434,"xLinkHref":1435},[528,1494,1496],{"dataMmlNode":568,"transform":1495},"translate(11517.9,0)",[544,1497],{"dataC":1498,"xLinkHref":1499},"36","#MJX-3-TEX-N-36",[528,1501,1503],{"dataMmlNode":542,"transform":1502},"translate(12017.9,0)",[544,1504],{"dataC":593,"xLinkHref":1450},[528,1506,1508],{"dataMmlNode":542,"transform":1507},"translate(12684.7,0)",[544,1509],{"dataC":1456,"xLinkHref":1457},[528,1511,1513],{"dataMmlNode":538,"dataMjxTexclass":539,"transform":1512},"translate(13962.4,0)",[528,1514,1515],{"dataMmlNode":542},[544,1516],{"dataC":546,"xLinkHref":1396},[528,1518,1520],{"dataMmlNode":561,"transform":1519},"translate(14629.4,0)",[544,1521],{"dataC":1401,"xLinkHref":1402},[528,1523,1525],{"dataMmlNode":561,"transform":1524},"translate(15457.4,0)",[544,1526],{"dataC":1408,"xLinkHref":1409},[528,1528,1530],{"dataMmlNode":561,"transform":1529},"translate(16221.4,0)",[544,1531],{"dataC":1415,"xLinkHref":1416},[528,1533,1535],{"dataMmlNode":542,"transform":1534},"translate(16902.4,0)",[544,1536],{"dataC":553,"xLinkHref":1422},[528,1538,1540],{"dataMmlNode":561,"transform":1539},"translate(17291.4,0)",[544,1541],{"dataC":564,"xLinkHref":1428},[528,1543,1545],{"dataMmlNode":542,"transform":1544},"translate(18143.4,0)",[544,1546],{"dataC":1434,"xLinkHref":1435},[528,1548,1550],{"dataMmlNode":568,"transform":1549},"translate(18588.1,0)",[544,1551],{"dataC":586,"xLinkHref":1552},"#MJX-3-TEX-N-39",[528,1554,1556],{"dataMmlNode":542,"transform":1555},"translate(19088.1,0)",[544,1557],{"dataC":593,"xLinkHref":1450},[528,1559,1561],{"dataMmlNode":542,"transform":1560},"translate(19477.1,0)",[544,1562],{"dataC":593,"xLinkHref":1450},"\nтождественно истинна (то есть принимает значение 1 при любом натуральном значении переменной x)?",[693,1565,696],{"id":1566},"решение-2",[698,1568,701],{"id":1569},"решение-python-2",[703,1571,1573],{"className":705,"code":1572,"language":707,"meta":708,"style":708},"def dl(n, m):\n    if n % m == 0:\n        return True\n    return False\n\n\nmx = 0\nfor A in range(1, 100):\n    k = 0\n    for X in range(1, 1001):\n        if dl(X, A) or (not (dl(X, 6)) or not (dl(X, 9))):\n            k += 1\n    if k == 1000:\n        mx = max(mx, A)\nprint(mx)\n",[710,1574,1575,1587,1607,1615,1623,1629,1633,1641,1661,1669,1690,1727,1737,1751,1762],{"__ignoreMap":708},[713,1576,1577,1580,1584],{"class":715,"line":716},[713,1578,1579],{"class":723},"def",[713,1581,1583],{"class":1582},"s7eDp"," dl",[713,1585,1586],{"class":719},"(n, m):\n",[713,1588,1589,1591,1594,1597,1600,1602,1605],{"class":715,"line":731},[713,1590,764],{"class":723},[713,1592,1593],{"class":719}," n ",[713,1595,1596],{"class":723},"%",[713,1598,1599],{"class":719}," m ",[713,1601,1196],{"class":723},[713,1603,1604],{"class":727}," 0",[713,1606,1207],{"class":719},[713,1608,1609,1612],{"class":715,"line":761},[713,1610,1611],{"class":723},"        return",[713,1613,1614],{"class":727}," True\n",[713,1616,1617,1620],{"class":715,"line":818},[713,1618,1619],{"class":723},"    return",[713,1621,1622],{"class":727}," False\n",[713,1624,1625],{"class":715,"line":830},[713,1626,1628],{"emptyLinePlaceholder":1627},true,"\n",[713,1630,1631],{"class":715,"line":1138},[713,1632,1628],{"emptyLinePlaceholder":1627},[713,1634,1635,1637,1639],{"class":715,"line":1178},[713,1636,1055],{"class":719},[713,1638,724],{"class":723},[713,1640,728],{"class":727},[713,1642,1643,1645,1647,1649,1651,1653,1655,1657,1659],{"class":715,"line":1188},[713,1644,734],{"class":723},[713,1646,1066],{"class":719},[713,1648,740],{"class":723},[713,1650,743],{"class":727},[713,1652,746],{"class":719},[713,1654,749],{"class":727},[713,1656,752],{"class":719},[713,1658,1079],{"class":727},[713,1660,758],{"class":719},[713,1662,1663,1665,1667],{"class":715,"line":1210},[713,1664,1086],{"class":719},[713,1666,724],{"class":723},[713,1668,728],{"class":727},[713,1670,1671,1673,1675,1677,1679,1681,1683,1685,1688],{"class":715,"line":1224},[713,1672,1095],{"class":723},[713,1674,1098],{"class":719},[713,1676,740],{"class":723},[713,1678,743],{"class":727},[713,1680,746],{"class":719},[713,1682,749],{"class":727},[713,1684,752],{"class":719},[713,1686,1687],{"class":727},"1001",[713,1689,758],{"class":719},[713,1691,1693,1696,1699,1701,1704,1706,1709,1712,1715,1717,1719,1721,1724],{"class":715,"line":1692},11,[713,1694,1695],{"class":723},"        if",[713,1697,1698],{"class":719}," dl(X, A) ",[713,1700,788],{"class":723},[713,1702,1703],{"class":719}," (",[713,1705,1292],{"class":723},[713,1707,1708],{"class":719}," (dl(X, ",[713,1710,1711],{"class":727},"6",[713,1713,1714],{"class":719},")) ",[713,1716,788],{"class":723},[713,1718,767],{"class":723},[713,1720,1708],{"class":719},[713,1722,1723],{"class":727},"9",[713,1725,1726],{"class":719},"))):\n",[713,1728,1730,1733,1735],{"class":715,"line":1729},12,[713,1731,1732],{"class":719},"            k ",[713,1734,824],{"class":723},[713,1736,827],{"class":727},[713,1738,1740,1742,1744,1746,1749],{"class":715,"line":1739},13,[713,1741,764],{"class":723},[713,1743,1193],{"class":719},[713,1745,1196],{"class":723},[713,1747,1748],{"class":727}," 1000",[713,1750,1207],{"class":719},[713,1752,1754,1756,1758,1760],{"class":715,"line":1753},14,[713,1755,1213],{"class":719},[713,1757,724],{"class":723},[713,1759,1218],{"class":727},[713,1761,1221],{"class":719},[713,1763,1765,1767],{"class":715,"line":1764},15,[713,1766,833],{"class":727},[713,1768,1229],{"class":719},[402,1770,1771,1772,1774,1775,1777,1778,1780,1781,1703,1784,1787,1788,1255,1790,1792,1793,1255,1795,1797,1798,1800,1801,1255,1803,1805,1806,1774,1808,1810,1811,1814],{},"Здесь решение аналогично прошлой задаче за некоторым изменением.\nВначале нужно задать функцию dl которая будет проверять утверждение «натуральное число n делится без остатка на натуральное число m».\nДалее в циклах \"прокрутим\" значения для ",[406,1773,1249],{}," и для ",[406,1776,1267],{},". Внутри цикла для ",[406,1779,1267],{}," делаем проверку условия из выражения с вызовами функции ",[406,1782,1783],{},"DEL",[406,1785,1786],{},"dl",").\nПосле цикла ",[406,1789,734],{},[406,1791,1267],{}," и внутри цикла ",[406,1794,734],{},[406,1796,1249],{}," нужно проверить счётчик. Значение в переменной счётчика ",[406,1799,1298],{}," должно совпадать с количеством запусков цикла ",[406,1802,734],{},[406,1804,1267],{}," если это так — вычисляем максимум.\nПосле тогда как перебрали циклами все значения для ",[406,1807,1249],{},[406,1809,1267],{}," — выводим значение переменной максимума ",[406,1812,1813],{},"mx"," в консоль как ответ на задачу.",[402,1816,1817],{},[406,1818,1819],{},"Ответ: 18",[447,1821,1823],{"id":1822},"задача-4-поразрядная-конъюнкция","Задача 4 (Поразрядная конъюнкция)",[402,1825,1826,1827,1960,1961,2122],{},"Обозначим через m&n поразрядную конъюнкцию неотрицательных целых чисел m и n. Например:\n",[455,1828,1830],{"className":1829,"jax":459},[458],[461,1831,1836,1866],{"style":1832,"xmlns":464,"width":1833,"height":1834,"role":467,"focusable":468,"viewBox":1835,"xmlnsXLink":470},"vertical-align: -0.339ex;","25.734ex","1.959ex","0 -716 11374.2 866",[472,1837,1838,1841,1845,1849,1852,1856,1859,1862],{},[475,1839],{"id":1840,"d":518},"MJX-4-TEX-N-31",[475,1842],{"id":1843,"d":1844},"MJX-4-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",[475,1846],{"id":1847,"d":1848},"MJX-4-TEX-N-26","M156 540Q156 620 201 668T302 716Q354 716 377 671T401 578Q401 505 287 386L274 373Q309 285 416 148L429 132L437 142Q474 191 543 309L562 341V349Q562 368 541 376T498 385H493V431H502L626 428Q709 428 721 431H727V385H712Q688 384 669 379T639 369T618 354T603 337T591 316T578 295Q537 223 506 176T464 117T454 104Q454 102 471 85T497 62Q543 24 585 24Q618 24 648 48T682 113V121H722V112Q721 94 714 75T692 32T646 -7T574 -22Q491 -19 414 42L402 51L391 42Q312 -22 224 -22Q144 -22 93 25T42 135Q42 153 46 169T55 197T74 225T96 249T125 278T156 308L195 347L190 360Q185 372 182 382T174 411T165 448T159 491T156 540ZM361 576Q361 613 348 646T305 679Q272 679 252 649T232 572Q232 497 255 426L259 411L267 420Q361 519 361 576ZM140 164Q140 103 167 64T240 24Q271 24 304 36T356 61T374 77Q295 156 235 262L220 292L210 310L193 293Q177 277 169 268T151 229T140 164Z",[475,1850],{"id":1851,"d":918},"MJX-4-TEX-N-35",[475,1853],{"id":1854,"d":1855},"MJX-4-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",[475,1857],{"id":1858,"d":522},"MJX-4-TEX-N-30",[475,1860],{"id":1861,"d":490},"MJX-4-TEX-N-32",[475,1863],{"id":1864,"d":1865},"MJX-4-TEX-N-2E","M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z",[528,1867,1868],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,1869,1870,1879,1885,1891,1898,1922,1927,1946,1951],{"dataMmlNode":535},[528,1871,1872,1875],{"dataMmlNode":568},[544,1873],{"dataC":668,"xLinkHref":1874},"#MJX-4-TEX-N-31",[544,1876],{"dataC":1877,"xLinkHref":1878,"transform":674},"34","#MJX-4-TEX-N-34",[528,1880,1881],{"dataMmlNode":561,"transform":1033},[544,1882],{"dataC":1883,"xLinkHref":1884},"26","#MJX-4-TEX-N-26",[528,1886,1888],{"dataMmlNode":568,"transform":1887},"translate(1778,0)",[544,1889],{"dataC":1031,"xLinkHref":1890},"#MJX-4-TEX-N-35",[528,1892,1894],{"dataMmlNode":542,"transform":1893},"translate(2555.8,0)",[544,1895],{"dataC":1896,"xLinkHref":1897},"3D","#MJX-4-TEX-N-3D",[528,1899,1902,1914],{"dataMmlNode":1900,"transform":1901},"msub","translate(3611.6,0)",[528,1903,1904,1906,1908,1910],{"dataMmlNode":568},[544,1905],{"dataC":668,"xLinkHref":1874},[544,1907],{"dataC":668,"xLinkHref":1874,"transform":674},[544,1909],{"dataC":668,"xLinkHref":1874,"transform":1033},[544,1911],{"dataC":672,"xLinkHref":1912,"transform":1913},"#MJX-4-TEX-N-30","translate(1500,0)",[528,1915,1917],{"dataMmlNode":538,"transform":1916,"dataMjxTexclass":539},"translate(2033,-150) scale(0.707)",[528,1918,1919],{"dataMmlNode":568},[544,1920],{"dataC":572,"xLinkHref":1921},"#MJX-4-TEX-N-32",[528,1923,1925],{"dataMmlNode":561,"transform":1924},"translate(6048.1,0)",[544,1926],{"dataC":1883,"xLinkHref":1884},[528,1928,1930,1940],{"dataMmlNode":1900,"transform":1929},"translate(6826.1,0)",[528,1931,1932,1934,1936,1938],{"dataMmlNode":568},[544,1933],{"dataC":672,"xLinkHref":1912},[544,1935],{"dataC":668,"xLinkHref":1874,"transform":674},[544,1937],{"dataC":672,"xLinkHref":1912,"transform":1033},[544,1939],{"dataC":668,"xLinkHref":1874,"transform":1913},[528,1941,1942],{"dataMmlNode":538,"transform":1916,"dataMjxTexclass":539},[528,1943,1944],{"dataMmlNode":568},[544,1945],{"dataC":572,"xLinkHref":1921},[528,1947,1949],{"dataMmlNode":542,"transform":1948},"translate(9540.4,0)",[544,1950],{"dataC":1896,"xLinkHref":1897},[528,1952,1954,1956],{"dataMmlNode":568,"transform":1953},"translate(10596.2,0)",[544,1955],{"dataC":1877,"xLinkHref":1878},[544,1957],{"dataC":1958,"xLinkHref":1959,"transform":674},"2E","#MJX-4-TEX-N-2E","\nДля какого наименьшего неотрицательного целого числа A формула:\n",[455,1962,1964],{"className":1963,"jax":459},[458],[461,1965,1968,2007],{"style":463,"xmlns":464,"width":1966,"height":874,"role":467,"focusable":468,"viewBox":1967,"xmlnsXLink":470},"38.529ex","0 -750 17029.8 1000",[472,1969,1970,1973,1976,1979,1982,1986,1989,1992,1995,1998,2001,2004],{},[475,1971],{"id":1972,"d":486},"MJX-5-TEX-I-1D44B",[475,1974],{"id":1975,"d":1848},"MJX-5-TEX-N-26",[475,1977],{"id":1978,"d":918},"MJX-5-TEX-N-35",[475,1980],{"id":1981,"d":518},"MJX-5-TEX-N-31",[475,1983],{"id":1984,"d":1985},"MJX-5-TEX-N-2260","M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z",[475,1987],{"id":1988,"d":522},"MJX-5-TEX-N-30",[475,1990],{"id":1991,"d":1378},"MJX-5-TEX-N-2192",[475,1993],{"id":1994,"d":482},"MJX-5-TEX-N-28",[475,1996],{"id":1997,"d":890},"MJX-5-TEX-I-1D434",[475,1999],{"id":2000,"d":1855},"MJX-5-TEX-N-3D",[475,2002],{"id":2003,"d":490},"MJX-5-TEX-N-32",[475,2005],{"id":2006,"d":502},"MJX-5-TEX-N-29",[528,2008,2009],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,2010,2011,2016,2022,2031,2038,2044,2050,2056,2061,2066,2072,2078,2083,2088,2093,2098,2106,2111,2116],{"dataMmlNode":535},[528,2012,2013],{"dataMmlNode":561},[544,2014],{"dataC":564,"xLinkHref":2015},"#MJX-5-TEX-I-1D44B",[528,2017,2019],{"dataMmlNode":561,"transform":2018},"translate(852,0)",[544,2020],{"dataC":1883,"xLinkHref":2021},"#MJX-5-TEX-N-26",[528,2023,2025,2028],{"dataMmlNode":568,"transform":2024},"translate(1630,0)",[544,2026],{"dataC":1031,"xLinkHref":2027},"#MJX-5-TEX-N-35",[544,2029],{"dataC":668,"xLinkHref":2030,"transform":674},"#MJX-5-TEX-N-31",[528,2032,2034],{"dataMmlNode":542,"transform":2033},"translate(2907.8,0)",[544,2035],{"dataC":2036,"xLinkHref":2037},"2260","#MJX-5-TEX-N-2260",[528,2039,2041],{"dataMmlNode":568,"transform":2040},"translate(3963.6,0)",[544,2042],{"dataC":672,"xLinkHref":2043},"#MJX-5-TEX-N-30",[528,2045,2047],{"dataMmlNode":542,"transform":2046},"translate(4741.3,0)",[544,2048],{"dataC":1456,"xLinkHref":2049},"#MJX-5-TEX-N-2192",[528,2051,2053],{"dataMmlNode":542,"transform":2052},"translate(6019.1,0)",[544,2054],{"dataC":553,"xLinkHref":2055},"#MJX-5-TEX-N-28",[528,2057,2059],{"dataMmlNode":561,"transform":2058},"translate(6408.1,0)",[544,2060],{"dataC":564,"xLinkHref":2015},[528,2062,2064],{"dataMmlNode":561,"transform":2063},"translate(7260.1,0)",[544,2065],{"dataC":1883,"xLinkHref":2021},[528,2067,2069],{"dataMmlNode":561,"transform":2068},"translate(8038.1,0)",[544,2070],{"dataC":945,"xLinkHref":2071},"#MJX-5-TEX-I-1D434",[528,2073,2075],{"dataMmlNode":542,"transform":2074},"translate(9065.9,0)",[544,2076],{"dataC":1896,"xLinkHref":2077},"#MJX-5-TEX-N-3D",[528,2079,2081],{"dataMmlNode":568,"transform":2080},"translate(10121.7,0)",[544,2082],{"dataC":672,"xLinkHref":2043},[528,2084,2086],{"dataMmlNode":542,"transform":2085},"translate(10899.4,0)",[544,2087],{"dataC":1456,"xLinkHref":2049},[528,2089,2091],{"dataMmlNode":561,"transform":2090},"translate(12177.2,0)",[544,2092],{"dataC":564,"xLinkHref":2015},[528,2094,2096],{"dataMmlNode":561,"transform":2095},"translate(13029.2,0)",[544,2097],{"dataC":1883,"xLinkHref":2021},[528,2099,2101,2104],{"dataMmlNode":568,"transform":2100},"translate(13807.2,0)",[544,2102],{"dataC":572,"xLinkHref":2103},"#MJX-5-TEX-N-32",[544,2105],{"dataC":1031,"xLinkHref":2027,"transform":674},[528,2107,2109],{"dataMmlNode":542,"transform":2108},"translate(15085,0)",[544,2110],{"dataC":2036,"xLinkHref":2037},[528,2112,2114],{"dataMmlNode":568,"transform":2113},"translate(16140.8,0)",[544,2115],{"dataC":672,"xLinkHref":2043},[528,2117,2119],{"dataMmlNode":542,"transform":2118},"translate(16640.8,0)",[544,2120],{"dataC":593,"xLinkHref":2121},"#MJX-5-TEX-N-29","\nтождественно истинна (то есть принимает значение 1 при любом неотрицательном целом значении переменной x)?",[693,2124,696],{"id":2125},"решение-3",[698,2127,701],{"id":2128},"решение-python-3",[703,2130,2132],{"className":705,"code":2131,"language":707,"meta":708,"style":708},"for A in range(0, 100):\n    k = 0\n    for X in range(0, 1000):\n        if X & 51 == 0 or (X & A != 0 or X & 25 != 0):\n            k += 1\n    if k == 1000:\n        print(A)\n        break  # Как только нашли ответ — выходим из цикла\n",[710,2133,2134,2154,2162,2182,2229,2237,2249,2257],{"__ignoreMap":708},[713,2135,2136,2138,2140,2142,2144,2146,2148,2150,2152],{"class":715,"line":716},[713,2137,734],{"class":723},[713,2139,1066],{"class":719},[713,2141,740],{"class":723},[713,2143,743],{"class":727},[713,2145,746],{"class":719},[713,2147,531],{"class":727},[713,2149,752],{"class":719},[713,2151,1079],{"class":727},[713,2153,758],{"class":719},[713,2155,2156,2158,2160],{"class":715,"line":731},[713,2157,1086],{"class":719},[713,2159,724],{"class":723},[713,2161,728],{"class":727},[713,2163,2164,2166,2168,2170,2172,2174,2176,2178,2180],{"class":715,"line":761},[713,2165,1095],{"class":723},[713,2167,1098],{"class":719},[713,2169,740],{"class":723},[713,2171,743],{"class":727},[713,2173,746],{"class":719},[713,2175,531],{"class":727},[713,2177,752],{"class":719},[713,2179,755],{"class":727},[713,2181,758],{"class":719},[713,2183,2184,2186,2188,2191,2194,2197,2199,2202,2204,2206,2208,2211,2213,2215,2217,2219,2222,2225,2227],{"class":715,"line":818},[713,2185,1695],{"class":723},[713,2187,1098],{"class":719},[713,2189,2190],{"class":723},"&",[713,2192,2193],{"class":727}," 51",[713,2195,2196],{"class":723}," ==",[713,2198,1604],{"class":727},[713,2200,2201],{"class":723}," or",[713,2203,1144],{"class":719},[713,2205,2190],{"class":723},[713,2207,1066],{"class":719},[713,2209,2210],{"class":723},"!=",[713,2212,1604],{"class":727},[713,2214,2201],{"class":723},[713,2216,1098],{"class":719},[713,2218,2190],{"class":723},[713,2220,2221],{"class":727}," 25",[713,2223,2224],{"class":723}," !=",[713,2226,1604],{"class":727},[713,2228,758],{"class":719},[713,2230,2231,2233,2235],{"class":715,"line":830},[713,2232,1732],{"class":719},[713,2234,824],{"class":723},[713,2236,827],{"class":727},[713,2238,2239,2241,2243,2245,2247],{"class":715,"line":1138},[713,2240,764],{"class":723},[713,2242,1193],{"class":719},[713,2244,1196],{"class":723},[713,2246,1748],{"class":727},[713,2248,1207],{"class":719},[713,2250,2251,2254],{"class":715,"line":1178},[713,2252,2253],{"class":727},"        print",[713,2255,2256],{"class":719},"(A)\n",[713,2258,2259,2262],{"class":715,"line":1188},[713,2260,2261],{"class":723},"        break",[713,2263,2265],{"class":2264},"sAwPA","  # Как только нашли ответ — выходим из цикла\n",[402,2267,2268,2269,1774,2271,2273,2274,2276,2277,2279,2280,2282,2283,1255,2285,2287,2288,2290,2291,2293,2294,2296],{},"Циклами перебираем значения для ",[406,2270,1249],{},[406,2272,1267],{},". ",[406,2275,1249],{},", и ",[406,2278,1267],{}," — неотрицательные числа поэтому перебираем их диапазон, начиная с нуля.\nНе забываем, при проверке выражения в условии ",[406,2281,845],{},", преобразовывать операцию следование.\nПосле отработки цикла ",[406,2284,734],{},[406,2286,1267],{}," проверяем чтобы в переменной счётчика ",[406,2289,1298],{}," было значение равное количеству запусков цикла для переменной ",[406,2292,1267],{},".\nТак как циклы начинаются с нуля то как только условие проверки по счётчику будет пройдено — это и будет минимальное ",[406,2295,1249],{},". Выводим ответ на задачу и прерываем цикл.",[402,2298,2299],{},[406,2300,2301],{},"Ответ: 34",[447,2303,2305],{"id":2304},"задача-5-наименьшая-длина-отрезка","Задача 5 (Наименьшая длина отрезка)",[402,2307,2308,2309,2465],{},"На числовой прямой даны отрезки P=[5, 13] и Q=[8, 19].\nУкажите наименьшую возможную длину такого отрезка A, что формула: ",[455,2310,2312],{"className":2311,"jax":459},[458],[461,2313,2316,2349],{"style":463,"xmlns":464,"width":2314,"height":874,"role":467,"focusable":468,"viewBox":2315,"xmlnsXLink":470},"32.954ex","0 -750 14565.8 1000",[472,2317,2318,2321,2324,2328,2332,2336,2339,2342,2346],{},[475,2319],{"id":2320,"d":482},"MJX-6-TEX-N-28",[475,2322],{"id":2323,"d":478},"MJX-6-TEX-N-AC",[475,2325],{"id":2326,"d":2327},"MJX-6-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",[475,2329],{"id":2330,"d":2331},"MJX-6-TEX-N-2208","M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z",[475,2333],{"id":2334,"d":2335},"MJX-6-TEX-I-1D443","M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z",[475,2337],{"id":2338,"d":502},"MJX-6-TEX-N-29",[475,2340],{"id":2341,"d":1378},"MJX-6-TEX-N-2192",[475,2343],{"id":2344,"d":2345},"MJX-6-TEX-I-1D444","M399 -80Q399 -47 400 -30T402 -11V-7L387 -11Q341 -22 303 -22Q208 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435Q740 255 592 107Q529 47 461 16L444 8V3Q444 2 449 -24T470 -66T516 -82Q551 -82 583 -60T625 -3Q631 11 638 11Q647 11 649 2Q649 -6 639 -34T611 -100T557 -165T481 -194Q399 -194 399 -87V-80ZM636 468Q636 523 621 564T580 625T530 655T477 665Q429 665 379 640Q277 591 215 464T153 216Q153 110 207 59Q231 38 236 38V46Q236 86 269 120T347 155Q372 155 390 144T417 114T429 82T435 55L448 64Q512 108 557 185T619 334T636 468ZM314 18Q362 18 404 39L403 49Q399 104 366 115Q354 117 347 117Q344 117 341 117T337 118Q317 118 296 98T274 52Q274 18 314 18Z",[475,2347],{"id":2348,"d":890},"MJX-6-TEX-I-1D434",[528,2350,2351],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,2352,2353,2358,2365,2369,2376,2383,2390,2396,2402,2407,2412,2417,2424,2429,2434,2439,2444,2449,2454,2460],{"dataMmlNode":535},[528,2354,2355],{"dataMmlNode":542},[544,2356],{"dataC":553,"xLinkHref":2357},"#MJX-6-TEX-N-28",[528,2359,2360],{"dataMmlNode":538,"dataMjxTexclass":539,"transform":930},[528,2361,2362],{"dataMmlNode":542},[544,2363],{"dataC":546,"xLinkHref":2364},"#MJX-6-TEX-N-AC",[528,2366,2367],{"dataMmlNode":542,"transform":558},[544,2368],{"dataC":553,"xLinkHref":2357},[528,2370,2372],{"dataMmlNode":561,"transform":2371},"translate(1445,0)",[544,2373],{"dataC":2374,"xLinkHref":2375},"1D465","#MJX-6-TEX-I-1D465",[528,2377,2379],{"dataMmlNode":542,"transform":2378},"translate(2294.8,0)",[544,2380],{"dataC":2381,"xLinkHref":2382},"2208","#MJX-6-TEX-N-2208",[528,2384,2386],{"dataMmlNode":561,"transform":2385},"translate(3239.6,0)",[544,2387],{"dataC":2388,"xLinkHref":2389},"1D443","#MJX-6-TEX-I-1D443",[528,2391,2393],{"dataMmlNode":542,"transform":2392},"translate(3990.6,0)",[544,2394],{"dataC":593,"xLinkHref":2395},"#MJX-6-TEX-N-29",[528,2397,2399],{"dataMmlNode":542,"transform":2398},"translate(4657.3,0)",[544,2400],{"dataC":1456,"xLinkHref":2401},"#MJX-6-TEX-N-2192",[528,2403,2405],{"dataMmlNode":542,"transform":2404},"translate(5935.1,0)",[544,2406],{"dataC":553,"xLinkHref":2357},[528,2408,2410],{"dataMmlNode":561,"transform":2409},"translate(6324.1,0)",[544,2411],{"dataC":2374,"xLinkHref":2375},[528,2413,2415],{"dataMmlNode":542,"transform":2414},"translate(7173.9,0)",[544,2416],{"dataC":2381,"xLinkHref":2382},[528,2418,2420],{"dataMmlNode":561,"transform":2419},"translate(8118.7,0)",[544,2421],{"dataC":2422,"xLinkHref":2423},"1D444","#MJX-6-TEX-I-1D444",[528,2425,2427],{"dataMmlNode":542,"transform":2426},"translate(8909.7,0)",[544,2428],{"dataC":593,"xLinkHref":2395},[528,2430,2432],{"dataMmlNode":542,"transform":2431},"translate(9298.7,0)",[544,2433],{"dataC":593,"xLinkHref":2395},[528,2435,2437],{"dataMmlNode":542,"transform":2436},"translate(9965.4,0)",[544,2438],{"dataC":1456,"xLinkHref":2401},[528,2440,2442],{"dataMmlNode":542,"transform":2441},"translate(11243.2,0)",[544,2443],{"dataC":553,"xLinkHref":2357},[528,2445,2447],{"dataMmlNode":561,"transform":2446},"translate(11632.2,0)",[544,2448],{"dataC":2374,"xLinkHref":2375},[528,2450,2452],{"dataMmlNode":542,"transform":2451},"translate(12482,0)",[544,2453],{"dataC":2381,"xLinkHref":2382},[528,2455,2457],{"dataMmlNode":561,"transform":2456},"translate(13426.8,0)",[544,2458],{"dataC":945,"xLinkHref":2459},"#MJX-6-TEX-I-1D434",[528,2461,2463],{"dataMmlNode":542,"transform":2462},"translate(14176.8,0)",[544,2464],{"dataC":593,"xLinkHref":2395},"\nтождественно истина при любых значениях x.",[693,2467,696],{"id":2468},"решение-4",[698,2470,701],{"id":2471},"решение-python-4",[703,2473,2475],{"className":705,"code":2474,"language":707,"meta":708,"style":708},"def f(a, b, x):\n    if a \u003C= x \u003C= b:\n        return True\n    return False\n\n\nmn = 10 ** 9\nfor a in range(0, 100):\n    for b in range(a, 100):\n        k = 0\n        for i in range(1, 200):\n            x = i \u002F 2\n            if not (f(5, 13, x) or f(8, 19, x)) or f(a, b, x):\n                k += 1\n        if k == 199:\n            mn = min(mn, b - a)\nprint(mn)\n",[710,2476,2477,2487,2503,2509,2515,2519,2523,2538,2558,2576,2584,2606,2621,2662,2670,2683,2703],{"__ignoreMap":708},[713,2478,2479,2481,2484],{"class":715,"line":716},[713,2480,1579],{"class":723},[713,2482,2483],{"class":1582}," f",[713,2485,2486],{"class":719},"(a, b, x):\n",[713,2488,2489,2491,2494,2496,2498,2500],{"class":715,"line":731},[713,2490,764],{"class":723},[713,2492,2493],{"class":719}," a ",[713,2495,1170],{"class":723},[713,2497,737],{"class":719},[713,2499,1170],{"class":723},[713,2501,2502],{"class":719}," b:\n",[713,2504,2505,2507],{"class":715,"line":761},[713,2506,1611],{"class":723},[713,2508,1614],{"class":727},[713,2510,2511,2513],{"class":715,"line":818},[713,2512,1619],{"class":723},[713,2514,1622],{"class":727},[713,2516,2517],{"class":715,"line":830},[713,2518,1628],{"emptyLinePlaceholder":1627},[713,2520,2521],{"class":715,"line":1138},[713,2522,1628],{"emptyLinePlaceholder":1627},[713,2524,2525,2528,2530,2532,2535],{"class":715,"line":1178},[713,2526,2527],{"class":719},"mn ",[713,2529,724],{"class":723},[713,2531,812],{"class":727},[713,2533,2534],{"class":723}," **",[713,2536,2537],{"class":727}," 9\n",[713,2539,2540,2542,2544,2546,2548,2550,2552,2554,2556],{"class":715,"line":1188},[713,2541,734],{"class":723},[713,2543,2493],{"class":719},[713,2545,740],{"class":723},[713,2547,743],{"class":727},[713,2549,746],{"class":719},[713,2551,531],{"class":727},[713,2553,752],{"class":719},[713,2555,1079],{"class":727},[713,2557,758],{"class":719},[713,2559,2560,2562,2565,2567,2569,2572,2574],{"class":715,"line":1210},[713,2561,1095],{"class":723},[713,2563,2564],{"class":719}," b ",[713,2566,740],{"class":723},[713,2568,743],{"class":727},[713,2570,2571],{"class":719},"(a, ",[713,2573,1079],{"class":727},[713,2575,758],{"class":719},[713,2577,2578,2580,2582],{"class":715,"line":1224},[713,2579,821],{"class":719},[713,2581,724],{"class":723},[713,2583,728],{"class":727},[713,2585,2586,2588,2591,2593,2595,2597,2599,2601,2604],{"class":715,"line":1692},[713,2587,1118],{"class":723},[713,2589,2590],{"class":719}," i ",[713,2592,740],{"class":723},[713,2594,743],{"class":727},[713,2596,746],{"class":719},[713,2598,749],{"class":727},[713,2600,752],{"class":719},[713,2602,2603],{"class":727},"200",[713,2605,758],{"class":719},[713,2607,2608,2611,2613,2615,2618],{"class":715,"line":1729},[713,2609,2610],{"class":719},"            x ",[713,2612,724],{"class":723},[713,2614,2590],{"class":719},[713,2616,2617],{"class":723},"\u002F",[713,2619,2620],{"class":727}," 2\n",[713,2622,2623,2625,2627,2630,2633,2635,2638,2641,2643,2646,2649,2651,2654,2657,2659],{"class":715,"line":1739},[713,2624,1141],{"class":723},[713,2626,767],{"class":723},[713,2628,2629],{"class":719}," (f(",[713,2631,2632],{"class":727},"5",[713,2634,752],{"class":719},[713,2636,2637],{"class":727},"13",[713,2639,2640],{"class":719},", x) ",[713,2642,788],{"class":723},[713,2644,2645],{"class":719}," f(",[713,2647,2648],{"class":727},"8",[713,2650,752],{"class":719},[713,2652,2653],{"class":727},"19",[713,2655,2656],{"class":719},", x)) ",[713,2658,788],{"class":723},[713,2660,2661],{"class":719}," f(a, b, x):\n",[713,2663,2664,2666,2668],{"class":715,"line":1753},[713,2665,1181],{"class":719},[713,2667,824],{"class":723},[713,2669,827],{"class":727},[713,2671,2672,2674,2676,2678,2681],{"class":715,"line":1764},[713,2673,1695],{"class":723},[713,2675,1193],{"class":719},[713,2677,1196],{"class":723},[713,2679,2680],{"class":727}," 199",[713,2682,1207],{"class":719},[713,2684,2686,2689,2691,2694,2697,2700],{"class":715,"line":2685},16,[713,2687,2688],{"class":719},"            mn ",[713,2690,724],{"class":723},[713,2692,2693],{"class":727}," min",[713,2695,2696],{"class":719},"(mn, b ",[713,2698,2699],{"class":723},"-",[713,2701,2702],{"class":719}," a)\n",[713,2704,2706,2708],{"class":715,"line":2705},17,[713,2707,833],{"class":727},[713,2709,2710],{"class":719},"(mn)\n",[402,2712,2713,2714,2717,2718,2721,2722,752,2724,2727,2728,2730,2731,2733,2734,2736,2737,2739,2740,1774,2742,2744,2745,2747,2748,2750,2751,2753,2754,2756,2757,2760,2761,2763,2764,2766,2767,2769,2770,2773,2774,2776,2777,2779,2780,2782,2783,2785,2786,2788,2789,2791,2792,2794,2795,2797,2798,2801],{},"Сначала напишем функцию *",[418,2715,2716],{},"f",", которая будет проверять принадлежность точки ",[406,2719,2720],{},"x"," к отрезку [",[406,2723,443],{},[406,2725,2726],{},"b","].\nЗаводим переменную ",[406,2729,568],{}," в которую будем записывать вычисление минимального отрезка ",[406,2732,1249],{},".\n",[406,2735,1249],{}," — это отрезок и его значения мы перебираем с помощью двух циклов ",[406,2738,734],{}," для возможных значений ",[406,2741,443],{},[406,2743,2726],{},". Внутри циклов для каждого отрезка ",[406,2746,1249],{}," заводим переменную счётчик ",[406,2749,1298],{},".\nВ задачах на отрезки нужно, чтобы переменная ",[406,2752,2720],{}," перебиралась как дробное число. Для этого используем вспомогательный цикл ",[406,2755,734],{}," с ",[406,2758,2759],{},"i",". _Отрезок ",[406,2762,1249],{}," перебираем с нуля, а цикл ",[406,2765,2759],{}," начинаем перебирать с ",[406,2768,749],{}," из-за исключительной ситуации с нулями.\nДиапазон ",[406,2771,2772],{},"range"," цикла ",[406,2775,2759],{}," создаём примерно в два раза больше по сравнению с циклом ",[406,2778,443],{},". И внутри этого цикла получаем переменную x = i\u002F2. Таким образом, диапазон для переменной ",[406,2781,2720],{}," будет примерно таким же, как и для переменной ",[406,2784,443],{},", только шаг у переменной ",[406,2787,2720],{}," - 0,5.\nЗатем подсчитываем в счётчик ",[406,2790,1298],{},", сколько раз выполнится логическая функция.\nПосле цикла ",[406,2793,2759],{},", проверяем счёт ",[406,2796,1298],{},". Если при каждом проходе цикла, логическая функция выдавала истину, то отрезок A подходит.\nВ ответе нужно написать минимальную длину отрезка. Используем функцию ",[406,2799,2800],{},"min",", чтобы найти минимальный отрезок.",[402,2803,2804],{},[406,2805,2806],{},"Ответ: 14",[447,2808,2810],{"id":2809},"задача-6-наибольшая-длина-отрезка","Задача 6 (Наибольшая длина отрезка)",[402,2812,2813,2814,2956],{},"На числовой прямой даны два отрезка: P = [43; 49] и Q = [44; 53]. Укажите наибольшую возможную длину такого отрезка A, что формула:\n",[455,2815,2817],{"className":2816,"jax":459},[458],[461,2818,2821,2850],{"style":463,"xmlns":464,"width":2819,"height":874,"role":467,"focusable":468,"viewBox":2820,"xmlnsXLink":470},"30.44ex","0 -750 13454.7 1000",[472,2822,2823,2826,2829,2832,2835,2838,2841,2844,2847],{},[475,2824],{"id":2825,"d":482},"MJX-7-TEX-N-28",[475,2827],{"id":2828,"d":2327},"MJX-7-TEX-I-1D465",[475,2830],{"id":2831,"d":2331},"MJX-7-TEX-N-2208",[475,2833],{"id":2834,"d":890},"MJX-7-TEX-I-1D434",[475,2836],{"id":2837,"d":502},"MJX-7-TEX-N-29",[475,2839],{"id":2840,"d":1378},"MJX-7-TEX-N-2192",[475,2842],{"id":2843,"d":2335},"MJX-7-TEX-I-1D443",[475,2845],{"id":2846,"d":506},"MJX-7-TEX-N-2228",[475,2848],{"id":2849,"d":2345},"MJX-7-TEX-I-1D444",[528,2851,2852],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,2853,2854,2859,2863,2869,2875,2881,2887,2893,2898,2903,2908,2914,2919,2924,2930,2935,2940,2945,2951],{"dataMmlNode":535},[528,2855,2856],{"dataMmlNode":542},[544,2857],{"dataC":553,"xLinkHref":2858},"#MJX-7-TEX-N-28",[528,2860,2861],{"dataMmlNode":542,"transform":930},[544,2862],{"dataC":553,"xLinkHref":2858},[528,2864,2866],{"dataMmlNode":561,"transform":2865},"translate(778,0)",[544,2867],{"dataC":2374,"xLinkHref":2868},"#MJX-7-TEX-I-1D465",[528,2870,2872],{"dataMmlNode":542,"transform":2871},"translate(1627.8,0)",[544,2873],{"dataC":2381,"xLinkHref":2874},"#MJX-7-TEX-N-2208",[528,2876,2878],{"dataMmlNode":561,"transform":2877},"translate(2572.6,0)",[544,2879],{"dataC":945,"xLinkHref":2880},"#MJX-7-TEX-I-1D434",[528,2882,2884],{"dataMmlNode":542,"transform":2883},"translate(3322.6,0)",[544,2885],{"dataC":593,"xLinkHref":2886},"#MJX-7-TEX-N-29",[528,2888,2890],{"dataMmlNode":542,"transform":2889},"translate(3989.3,0)",[544,2891],{"dataC":1456,"xLinkHref":2892},"#MJX-7-TEX-N-2192",[528,2894,2896],{"dataMmlNode":542,"transform":2895},"translate(5267.1,0)",[544,2897],{"dataC":553,"xLinkHref":2858},[528,2899,2901],{"dataMmlNode":561,"transform":2900},"translate(5656.1,0)",[544,2902],{"dataC":2374,"xLinkHref":2868},[528,2904,2906],{"dataMmlNode":542,"transform":2905},"translate(6505.9,0)",[544,2907],{"dataC":2381,"xLinkHref":2874},[528,2909,2911],{"dataMmlNode":561,"transform":2910},"translate(7450.7,0)",[544,2912],{"dataC":2388,"xLinkHref":2913},"#MJX-7-TEX-I-1D443",[528,2915,2917],{"dataMmlNode":542,"transform":2916},"translate(8201.7,0)",[544,2918],{"dataC":593,"xLinkHref":2886},[528,2920,2922],{"dataMmlNode":542,"transform":2921},"translate(8590.7,0)",[544,2923],{"dataC":593,"xLinkHref":2886},[528,2925,2927],{"dataMmlNode":542,"transform":2926},"translate(9201.9,0)",[544,2928],{"dataC":600,"xLinkHref":2929},"#MJX-7-TEX-N-2228",[528,2931,2933],{"dataMmlNode":542,"transform":2932},"translate(10091.1,0)",[544,2934],{"dataC":553,"xLinkHref":2858},[528,2936,2938],{"dataMmlNode":561,"transform":2937},"translate(10480.1,0)",[544,2939],{"dataC":2374,"xLinkHref":2868},[528,2941,2943],{"dataMmlNode":542,"transform":2942},"translate(11329.9,0)",[544,2944],{"dataC":2381,"xLinkHref":2874},[528,2946,2948],{"dataMmlNode":561,"transform":2947},"translate(12274.7,0)",[544,2949],{"dataC":2422,"xLinkHref":2950},"#MJX-7-TEX-I-1D444",[528,2952,2954],{"dataMmlNode":542,"transform":2953},"translate(13065.7,0)",[544,2955],{"dataC":593,"xLinkHref":2886},"\nтождественно истинна, то есть принимает значение 1 при любых x.",[693,2958,696],{"id":2959},"решение-5",[698,2961,701],{"id":2962},"решение-python-5",[703,2964,2966],{"className":705,"code":2965,"language":707,"meta":708,"style":708},"def f(a, b, x):\n    if a \u003C= x \u003C= b:\n        return True\n    return False\n\n\ndef fa(a, b, x):\n    if a \u003C x \u003C b:\n        return True\n    return False\n\n\nmx = 0\nfor a in range(0, 100):\n    for b in range(a, 100):\n        k = 0\n        for i in range(1, 200):\n            x = i \u002F 2\n            if (not (fa(a, b, x)) or f(43, 49, x)) or f(44, 53, x):\n                k += 1\n        if k == 199:\n            mx = max(mx, b - a)\nprint(mx)\n",[710,2967,2968,2976,2990,2996,3002,3006,3010,3019,3033,3039,3045,3049,3053,3061,3081,3097,3105,3125,3138,3179,3188,3201,3218],{"__ignoreMap":708},[713,2969,2970,2972,2974],{"class":715,"line":716},[713,2971,1579],{"class":723},[713,2973,2483],{"class":1582},[713,2975,2486],{"class":719},[713,2977,2978,2980,2982,2984,2986,2988],{"class":715,"line":731},[713,2979,764],{"class":723},[713,2981,2493],{"class":719},[713,2983,1170],{"class":723},[713,2985,737],{"class":719},[713,2987,1170],{"class":723},[713,2989,2502],{"class":719},[713,2991,2992,2994],{"class":715,"line":761},[713,2993,1611],{"class":723},[713,2995,1614],{"class":727},[713,2997,2998,3000],{"class":715,"line":818},[713,2999,1619],{"class":723},[713,3001,1622],{"class":727},[713,3003,3004],{"class":715,"line":830},[713,3005,1628],{"emptyLinePlaceholder":1627},[713,3007,3008],{"class":715,"line":1138},[713,3009,1628],{"emptyLinePlaceholder":1627},[713,3011,3012,3014,3017],{"class":715,"line":1178},[713,3013,1579],{"class":723},[713,3015,3016],{"class":1582}," fa",[713,3018,2486],{"class":719},[713,3020,3021,3023,3025,3027,3029,3031],{"class":715,"line":1188},[713,3022,764],{"class":723},[713,3024,2493],{"class":719},[713,3026,796],{"class":723},[713,3028,737],{"class":719},[713,3030,796],{"class":723},[713,3032,2502],{"class":719},[713,3034,3035,3037],{"class":715,"line":1210},[713,3036,1611],{"class":723},[713,3038,1614],{"class":727},[713,3040,3041,3043],{"class":715,"line":1224},[713,3042,1619],{"class":723},[713,3044,1622],{"class":727},[713,3046,3047],{"class":715,"line":1692},[713,3048,1628],{"emptyLinePlaceholder":1627},[713,3050,3051],{"class":715,"line":1729},[713,3052,1628],{"emptyLinePlaceholder":1627},[713,3054,3055,3057,3059],{"class":715,"line":1739},[713,3056,1055],{"class":719},[713,3058,724],{"class":723},[713,3060,728],{"class":727},[713,3062,3063,3065,3067,3069,3071,3073,3075,3077,3079],{"class":715,"line":1753},[713,3064,734],{"class":723},[713,3066,2493],{"class":719},[713,3068,740],{"class":723},[713,3070,743],{"class":727},[713,3072,746],{"class":719},[713,3074,531],{"class":727},[713,3076,752],{"class":719},[713,3078,1079],{"class":727},[713,3080,758],{"class":719},[713,3082,3083,3085,3087,3089,3091,3093,3095],{"class":715,"line":1764},[713,3084,1095],{"class":723},[713,3086,2564],{"class":719},[713,3088,740],{"class":723},[713,3090,743],{"class":727},[713,3092,2571],{"class":719},[713,3094,1079],{"class":727},[713,3096,758],{"class":719},[713,3098,3099,3101,3103],{"class":715,"line":2685},[713,3100,821],{"class":719},[713,3102,724],{"class":723},[713,3104,728],{"class":727},[713,3106,3107,3109,3111,3113,3115,3117,3119,3121,3123],{"class":715,"line":2705},[713,3108,1118],{"class":723},[713,3110,2590],{"class":719},[713,3112,740],{"class":723},[713,3114,743],{"class":727},[713,3116,746],{"class":719},[713,3118,749],{"class":727},[713,3120,752],{"class":719},[713,3122,2603],{"class":727},[713,3124,758],{"class":719},[713,3126,3128,3130,3132,3134,3136],{"class":715,"line":3127},18,[713,3129,2610],{"class":719},[713,3131,724],{"class":723},[713,3133,2590],{"class":719},[713,3135,2617],{"class":723},[713,3137,2620],{"class":727},[713,3139,3141,3143,3145,3147,3150,3152,3154,3157,3159,3162,3164,3166,3168,3171,3173,3176],{"class":715,"line":3140},19,[713,3142,1141],{"class":723},[713,3144,1703],{"class":719},[713,3146,1292],{"class":723},[713,3148,3149],{"class":719}," (fa(a, b, x)) ",[713,3151,788],{"class":723},[713,3153,2645],{"class":719},[713,3155,3156],{"class":727},"43",[713,3158,752],{"class":719},[713,3160,3161],{"class":727},"49",[713,3163,2656],{"class":719},[713,3165,788],{"class":723},[713,3167,2645],{"class":719},[713,3169,3170],{"class":727},"44",[713,3172,752],{"class":719},[713,3174,3175],{"class":727},"53",[713,3177,3178],{"class":719},", x):\n",[713,3180,3182,3184,3186],{"class":715,"line":3181},20,[713,3183,1181],{"class":719},[713,3185,824],{"class":723},[713,3187,827],{"class":727},[713,3189,3191,3193,3195,3197,3199],{"class":715,"line":3190},21,[713,3192,1695],{"class":723},[713,3194,1193],{"class":719},[713,3196,1196],{"class":723},[713,3198,2680],{"class":727},[713,3200,1207],{"class":719},[713,3202,3204,3207,3209,3211,3214,3216],{"class":715,"line":3203},22,[713,3205,3206],{"class":719},"            mx ",[713,3208,724],{"class":723},[713,3210,1218],{"class":727},[713,3212,3213],{"class":719},"(mx, b ",[713,3215,2699],{"class":723},[713,3217,2702],{"class":719},[713,3219,3221,3223],{"class":715,"line":3220},23,[713,3222,833],{"class":727},[713,3224,1229],{"class":719},[402,3226,3227,3228,3231,3232,3234],{},"При поиске отрезка максимальной длины, нужно создать функцию ",[406,3229,3230],{},"fa"," со строгим неравенством и её применять только к отрезку ",[406,3233,1249],{},".",[402,3236,3237],{},[406,3238,3239],{},"Ответ: 10",[447,3241,3243],{"id":3242},"задача-7-функция-и-отрезок","Задача 7 (Функция и отрезок)",[402,3245,3246],{},"Обозначим через ДЕЛ(n, m) утверждение «натуральное число n делится без остатка на натуральное число m».\nПусть на числовой прямой дан отрезок B = [70, 90].\nДля какого наибольшего натурального числа А логическое выражение ДЕЛ(x, А) ∨ ((x ∈ B) → ¬ДЕЛ(x, 22)) истинно (т.е. принимает значение 1) при любом целом положительном значении переменной х?",[693,3248,696],{"id":3249},"решение-6",[698,3251,701],{"id":3252},"решение-python-6",[703,3254,3256],{"className":705,"code":3255,"language":707,"meta":708,"style":708},"def dl(n, m):\n    if n % m == 0:\n        return True\n    return False\n\n\ndef f(a, b, x):\n    if a \u003C= x \u003C= b:\n        return True\n    return False\n\n\nmx = 0\nfor A in range(1, 200):\n    k = 0\n    for x in range(1, 201):\n        if dl(x, A) or (not (f(70, 90, x)) or not (dl(x, 22))):\n            k += 1\n    if k == 200:\n        mx = max(mx, A)\nprint(mx)\n",[710,3257,3258,3266,3282,3288,3294,3298,3302,3310,3324,3330,3336,3340,3344,3352,3372,3380,3401,3438,3446,3459,3469],{"__ignoreMap":708},[713,3259,3260,3262,3264],{"class":715,"line":716},[713,3261,1579],{"class":723},[713,3263,1583],{"class":1582},[713,3265,1586],{"class":719},[713,3267,3268,3270,3272,3274,3276,3278,3280],{"class":715,"line":731},[713,3269,764],{"class":723},[713,3271,1593],{"class":719},[713,3273,1596],{"class":723},[713,3275,1599],{"class":719},[713,3277,1196],{"class":723},[713,3279,1604],{"class":727},[713,3281,1207],{"class":719},[713,3283,3284,3286],{"class":715,"line":761},[713,3285,1611],{"class":723},[713,3287,1614],{"class":727},[713,3289,3290,3292],{"class":715,"line":818},[713,3291,1619],{"class":723},[713,3293,1622],{"class":727},[713,3295,3296],{"class":715,"line":830},[713,3297,1628],{"emptyLinePlaceholder":1627},[713,3299,3300],{"class":715,"line":1138},[713,3301,1628],{"emptyLinePlaceholder":1627},[713,3303,3304,3306,3308],{"class":715,"line":1178},[713,3305,1579],{"class":723},[713,3307,2483],{"class":1582},[713,3309,2486],{"class":719},[713,3311,3312,3314,3316,3318,3320,3322],{"class":715,"line":1188},[713,3313,764],{"class":723},[713,3315,2493],{"class":719},[713,3317,1170],{"class":723},[713,3319,737],{"class":719},[713,3321,1170],{"class":723},[713,3323,2502],{"class":719},[713,3325,3326,3328],{"class":715,"line":1210},[713,3327,1611],{"class":723},[713,3329,1614],{"class":727},[713,3331,3332,3334],{"class":715,"line":1224},[713,3333,1619],{"class":723},[713,3335,1622],{"class":727},[713,3337,3338],{"class":715,"line":1692},[713,3339,1628],{"emptyLinePlaceholder":1627},[713,3341,3342],{"class":715,"line":1729},[713,3343,1628],{"emptyLinePlaceholder":1627},[713,3345,3346,3348,3350],{"class":715,"line":1739},[713,3347,1055],{"class":719},[713,3349,724],{"class":723},[713,3351,728],{"class":727},[713,3353,3354,3356,3358,3360,3362,3364,3366,3368,3370],{"class":715,"line":1753},[713,3355,734],{"class":723},[713,3357,1066],{"class":719},[713,3359,740],{"class":723},[713,3361,743],{"class":727},[713,3363,746],{"class":719},[713,3365,749],{"class":727},[713,3367,752],{"class":719},[713,3369,2603],{"class":727},[713,3371,758],{"class":719},[713,3373,3374,3376,3378],{"class":715,"line":1764},[713,3375,1086],{"class":719},[713,3377,724],{"class":723},[713,3379,728],{"class":727},[713,3381,3382,3384,3386,3388,3390,3392,3394,3396,3399],{"class":715,"line":2685},[713,3383,1095],{"class":723},[713,3385,737],{"class":719},[713,3387,740],{"class":723},[713,3389,743],{"class":727},[713,3391,746],{"class":719},[713,3393,749],{"class":727},[713,3395,752],{"class":719},[713,3397,3398],{"class":727},"201",[713,3400,758],{"class":719},[713,3402,3403,3405,3408,3410,3412,3414,3416,3419,3421,3424,3426,3428,3430,3433,3436],{"class":715,"line":2705},[713,3404,1695],{"class":723},[713,3406,3407],{"class":719}," dl(x, A) ",[713,3409,788],{"class":723},[713,3411,1703],{"class":719},[713,3413,1292],{"class":723},[713,3415,2629],{"class":719},[713,3417,3418],{"class":727},"70",[713,3420,752],{"class":719},[713,3422,3423],{"class":727},"90",[713,3425,2656],{"class":719},[713,3427,788],{"class":723},[713,3429,767],{"class":723},[713,3431,3432],{"class":719}," (dl(x, ",[713,3434,3435],{"class":727},"22",[713,3437,1726],{"class":719},[713,3439,3440,3442,3444],{"class":715,"line":3127},[713,3441,1732],{"class":719},[713,3443,824],{"class":723},[713,3445,827],{"class":727},[713,3447,3448,3450,3452,3454,3457],{"class":715,"line":3140},[713,3449,764],{"class":723},[713,3451,1193],{"class":719},[713,3453,1196],{"class":723},[713,3455,3456],{"class":727}," 200",[713,3458,1207],{"class":719},[713,3460,3461,3463,3465,3467],{"class":715,"line":3181},[713,3462,1213],{"class":719},[713,3464,724],{"class":723},[713,3466,1218],{"class":727},[713,3468,1221],{"class":719},[713,3470,3471,3473],{"class":715,"line":3190},[713,3472,833],{"class":727},[713,3474,1229],{"class":719},[402,3476,3477,3478,3480],{},"Задача гибрид в которой деление и есть элементы задания на отрезки.\nИскомая переменная ",[406,3479,1249],{}," - это обычное число, не отрезок. Логика решения задачи такая же как в прошлых задачах.",[402,3482,3483],{},[406,3484,3485],{},"Ответ: 88",[447,3487,3489],{"id":3488},"задача-8-демоверсия-егэ-2024","Задача 8 (Демоверсия ЕГЭ 2024)",[402,3491,3492,3493,3660],{},"Для какого наименьшего целого неотрицательного числа A выражение:\n",[455,3494,3496],{"className":3495,"jax":459},[458],[461,3497,3500,3541],{"style":463,"xmlns":464,"width":3498,"height":874,"role":467,"focusable":468,"viewBox":3499,"xmlnsXLink":470},"33.317ex","0 -750 14726 1000",[472,3501,3502,3505,3508,3512,3515,3519,3522,3525,3528,3531,3535,3538],{},[475,3503],{"id":3504,"d":482},"MJX-8-TEX-N-28",[475,3506],{"id":3507,"d":2327},"MJX-8-TEX-I-1D465",[475,3509],{"id":3510,"d":3511},"MJX-8-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",[475,3513],{"id":3514,"d":490},"MJX-8-TEX-N-32",[475,3516],{"id":3517,"d":3518},"MJX-8-TEX-I-1D466","M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z",[475,3520],{"id":3521,"d":510},"MJX-8-TEX-N-3C",[475,3523],{"id":3524,"d":890},"MJX-8-TEX-I-1D434",[475,3526],{"id":3527,"d":502},"MJX-8-TEX-N-29",[475,3529],{"id":3530,"d":506},"MJX-8-TEX-N-2228",[475,3532],{"id":3533,"d":3534},"MJX-8-TEX-N-3E","M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z",[475,3536],{"id":3537,"d":1382},"MJX-8-TEX-N-36",[475,3539],{"id":3540,"d":522},"MJX-8-TEX-N-30",[528,3542,3543],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,3544,3545,3550,3555,3562,3568,3575,3581,3587,3593,3599,3604,3609,3616,3621,3626,3631,3636,3641,3646,3655],{"dataMmlNode":535},[528,3546,3547],{"dataMmlNode":542},[544,3548],{"dataC":553,"xLinkHref":3549},"#MJX-8-TEX-N-28",[528,3551,3552],{"dataMmlNode":561,"transform":930},[544,3553],{"dataC":2374,"xLinkHref":3554},"#MJX-8-TEX-I-1D465",[528,3556,3558],{"dataMmlNode":542,"transform":3557},"translate(1183.2,0)",[544,3559],{"dataC":3560,"xLinkHref":3561},"2B","#MJX-8-TEX-N-2B",[528,3563,3565],{"dataMmlNode":568,"transform":3564},"translate(2183.4,0)",[544,3566],{"dataC":572,"xLinkHref":3567},"#MJX-8-TEX-N-32",[528,3569,3571],{"dataMmlNode":561,"transform":3570},"translate(2683.4,0)",[544,3572],{"dataC":3573,"xLinkHref":3574},"1D466","#MJX-8-TEX-I-1D466",[528,3576,3578],{"dataMmlNode":542,"transform":3577},"translate(3451.2,0)",[544,3579],{"dataC":629,"xLinkHref":3580},"#MJX-8-TEX-N-3C",[528,3582,3584],{"dataMmlNode":561,"transform":3583},"translate(4507,0)",[544,3585],{"dataC":945,"xLinkHref":3586},"#MJX-8-TEX-I-1D434",[528,3588,3590],{"dataMmlNode":542,"transform":3589},"translate(5257,0)",[544,3591],{"dataC":593,"xLinkHref":3592},"#MJX-8-TEX-N-29",[528,3594,3596],{"dataMmlNode":542,"transform":3595},"translate(5868.2,0)",[544,3597],{"dataC":600,"xLinkHref":3598},"#MJX-8-TEX-N-2228",[528,3600,3602],{"dataMmlNode":542,"transform":3601},"translate(6757.4,0)",[544,3603],{"dataC":553,"xLinkHref":3549},[528,3605,3607],{"dataMmlNode":561,"transform":3606},"translate(7146.4,0)",[544,3608],{"dataC":3573,"xLinkHref":3574},[528,3610,3612],{"dataMmlNode":542,"transform":3611},"translate(7914.2,0)",[544,3613],{"dataC":3614,"xLinkHref":3615},"3E","#MJX-8-TEX-N-3E",[528,3617,3619],{"dataMmlNode":561,"transform":3618},"translate(8970,0)",[544,3620],{"dataC":2374,"xLinkHref":3554},[528,3622,3624],{"dataMmlNode":542,"transform":3623},"translate(9542,0)",[544,3625],{"dataC":593,"xLinkHref":3592},[528,3627,3629],{"dataMmlNode":542,"transform":3628},"translate(10153.2,0)",[544,3630],{"dataC":600,"xLinkHref":3598},[528,3632,3634],{"dataMmlNode":542,"transform":3633},"translate(11042.4,0)",[544,3635],{"dataC":553,"xLinkHref":3549},[528,3637,3639],{"dataMmlNode":561,"transform":3638},"translate(11431.4,0)",[544,3640],{"dataC":2374,"xLinkHref":3554},[528,3642,3644],{"dataMmlNode":542,"transform":3643},"translate(12281.2,0)",[544,3645],{"dataC":3614,"xLinkHref":3615},[528,3647,3649,3652],{"dataMmlNode":568,"transform":3648},"translate(13337,0)",[544,3650],{"dataC":1498,"xLinkHref":3651},"#MJX-8-TEX-N-36",[544,3653],{"dataC":672,"xLinkHref":3654,"transform":674},"#MJX-8-TEX-N-30",[528,3656,3658],{"dataMmlNode":542,"transform":3657},"translate(14337,0)",[544,3659],{"dataC":593,"xLinkHref":3592},"\nтождественно истинно, т.е. принимает значение 1 при любых целых неотрицательных x и y?",[693,3662,696],{"id":3663},"решение-7",[698,3665,701],{"id":3666},"решение-python-7",[703,3668,3670],{"className":705,"code":3669,"language":707,"meta":708,"style":708},"for A in range(0, 200):\n    k = 0\n    for x in range(0, 200):\n        for y in range(0, 200):\n            if (x + 2*y \u003C A) or (y > x) or (x > 60):\n                k += 1\n    if k == 200*200:\n        print(A)\n        break\n",[710,3671,3672,3692,3700,3720,3741,3784,3792,3808,3814],{"__ignoreMap":708},[713,3673,3674,3676,3678,3680,3682,3684,3686,3688,3690],{"class":715,"line":716},[713,3675,734],{"class":723},[713,3677,1066],{"class":719},[713,3679,740],{"class":723},[713,3681,743],{"class":727},[713,3683,746],{"class":719},[713,3685,531],{"class":727},[713,3687,752],{"class":719},[713,3689,2603],{"class":727},[713,3691,758],{"class":719},[713,3693,3694,3696,3698],{"class":715,"line":731},[713,3695,1086],{"class":719},[713,3697,724],{"class":723},[713,3699,728],{"class":727},[713,3701,3702,3704,3706,3708,3710,3712,3714,3716,3718],{"class":715,"line":761},[713,3703,1095],{"class":723},[713,3705,737],{"class":719},[713,3707,740],{"class":723},[713,3709,743],{"class":727},[713,3711,746],{"class":719},[713,3713,531],{"class":727},[713,3715,752],{"class":719},[713,3717,2603],{"class":727},[713,3719,758],{"class":719},[713,3721,3722,3724,3727,3729,3731,3733,3735,3737,3739],{"class":715,"line":818},[713,3723,1118],{"class":723},[713,3725,3726],{"class":719}," y ",[713,3728,740],{"class":723},[713,3730,743],{"class":727},[713,3732,746],{"class":719},[713,3734,531],{"class":727},[713,3736,752],{"class":719},[713,3738,2603],{"class":727},[713,3740,758],{"class":719},[713,3742,3743,3745,3747,3750,3753,3755,3758,3760,3762,3764,3767,3770,3773,3775,3777,3779,3782],{"class":715,"line":830},[713,3744,1141],{"class":723},[713,3746,806],{"class":719},[713,3748,3749],{"class":723},"+",[713,3751,3752],{"class":727}," 2",[713,3754,1165],{"class":723},[713,3756,3757],{"class":719},"y ",[713,3759,796],{"class":723},[713,3761,1149],{"class":719},[713,3763,788],{"class":723},[713,3765,3766],{"class":719}," (y ",[713,3768,3769],{"class":723},">",[713,3771,3772],{"class":719}," x) ",[713,3774,788],{"class":723},[713,3776,806],{"class":719},[713,3778,3769],{"class":723},[713,3780,3781],{"class":727}," 60",[713,3783,758],{"class":719},[713,3785,3786,3788,3790],{"class":715,"line":1138},[713,3787,1181],{"class":719},[713,3789,824],{"class":723},[713,3791,827],{"class":727},[713,3793,3794,3796,3798,3800,3802,3804,3806],{"class":715,"line":1178},[713,3795,764],{"class":723},[713,3797,1193],{"class":719},[713,3799,1196],{"class":723},[713,3801,3456],{"class":727},[713,3803,1165],{"class":723},[713,3805,2603],{"class":727},[713,3807,1207],{"class":719},[713,3809,3810,3812],{"class":715,"line":1188},[713,3811,2253],{"class":727},[713,3813,2256],{"class":719},[713,3815,3816],{"class":715,"line":1210},[713,3817,3818],{"class":723},"        break\n",[402,3820,3821],{},"В цикле перебираем все возможные значения A, а затем также в двух циклах перебираем значения x, y.\nТ.к. в задании говорится про целые неотрицательные числа и в ответ нужно указать число A значит оно будет в первом цикле перебираться сначала, а потом уже все x и y.\nИзначально стоит выбирать небольшие значения для циклов например 20, 50, 100, 150.\nЯ нашёл решение только когда прописал диапазон до 200(функция range).\nВ 3 цикле с y проверяем само выражение(если бы в задаче спрашивали про ложность, то необходимо было всё выражение взять в скобочки и инвертировать через not).\nИ последнее в условии в цикле для A проверяем в конце то что x, y были любыми целыми числами(два цикла по 200, результат счётчика 200*200).\nЕсли это так, то выводим ответ на задачу и прерываем цикл, чтобы программа быстрее завершилась и не \"перебирала\" дальше.",[402,3823,3824],{},[406,3825,3826],{},"Ответ: 181",[447,3828,3830],{"id":3829},"задача-9-демоверсия-егэ-2025","Задача 9 (Демоверсия ЕГЭ 2025)",[402,3832,3833,3834,4036],{},"На числовой прямой даны два отрезка: P = [15; 40] и Q = [21; 63].\nУкажите наименьшую возможную длину такого отрезка A, для которого логическое выражение:\n",[455,3835,3837],{"className":3836,"jax":459},[458],[461,3838,3841,3874],{"style":463,"xmlns":464,"width":3839,"height":874,"role":467,"focusable":468,"viewBox":3840,"xmlnsXLink":470},"46.257ex","0 -750 20445.8 1000",[472,3842,3843,3846,3849,3852,3855,3858,3861,3864,3868,3871],{},[475,3844],{"id":3845,"d":482},"MJX-9-TEX-N-28",[475,3847],{"id":3848,"d":2327},"MJX-9-TEX-I-1D465",[475,3850],{"id":3851,"d":2331},"MJX-9-TEX-N-2208",[475,3853],{"id":3854,"d":2335},"MJX-9-TEX-I-1D443",[475,3856],{"id":3857,"d":502},"MJX-9-TEX-N-29",[475,3859],{"id":3860,"d":1378},"MJX-9-TEX-N-2192",[475,3862],{"id":3863,"d":2345},"MJX-9-TEX-I-1D444",[475,3865],{"id":3866,"d":3867},"MJX-9-TEX-N-2227","M318 591Q325 598 333 598Q344 598 348 591Q349 590 414 445T545 151T611 -4Q609 -22 591 -22Q588 -22 586 -21T581 -20T577 -17T575 -13T572 -9T570 -4L333 528L96 -4Q87 -20 80 -21Q78 -22 75 -22Q57 -22 55 -4Q55 2 120 150T251 444T318 591Z",[475,3869],{"id":3870,"d":478},"MJX-9-TEX-N-AC",[475,3872],{"id":3873,"d":890},"MJX-9-TEX-I-1D434",[528,3875,3876],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,3877,3878,3883,3888,3894,3900,3906,3912,3917,3922,3927,3932,3937,3943,3948,3955,3963,3968,3973,3978,3984,3989,3994,3999,4006,4011,4016,4021,4026,4031],{"dataMmlNode":535},[528,3879,3880],{"dataMmlNode":542},[544,3881],{"dataC":553,"xLinkHref":3882},"#MJX-9-TEX-N-28",[528,3884,3885],{"dataMmlNode":561,"transform":930},[544,3886],{"dataC":2374,"xLinkHref":3887},"#MJX-9-TEX-I-1D465",[528,3889,3891],{"dataMmlNode":542,"transform":3890},"translate(1238.8,0)",[544,3892],{"dataC":2381,"xLinkHref":3893},"#MJX-9-TEX-N-2208",[528,3895,3897],{"dataMmlNode":561,"transform":3896},"translate(2183.6,0)",[544,3898],{"dataC":2388,"xLinkHref":3899},"#MJX-9-TEX-I-1D443",[528,3901,3903],{"dataMmlNode":542,"transform":3902},"translate(2934.6,0)",[544,3904],{"dataC":593,"xLinkHref":3905},"#MJX-9-TEX-N-29",[528,3907,3909],{"dataMmlNode":542,"transform":3908},"translate(3601.3,0)",[544,3910],{"dataC":1456,"xLinkHref":3911},"#MJX-9-TEX-N-2192",[528,3913,3915],{"dataMmlNode":542,"transform":3914},"translate(4879.1,0)",[544,3916],{"dataC":553,"xLinkHref":3882},[528,3918,3920],{"dataMmlNode":542,"transform":3919},"translate(5268.1,0)",[544,3921],{"dataC":553,"xLinkHref":3882},[528,3923,3925],{"dataMmlNode":542,"transform":3924},"translate(5657.1,0)",[544,3926],{"dataC":553,"xLinkHref":3882},[528,3928,3930],{"dataMmlNode":561,"transform":3929},"translate(6046.1,0)",[544,3931],{"dataC":2374,"xLinkHref":3887},[528,3933,3935],{"dataMmlNode":542,"transform":3934},"translate(6895.9,0)",[544,3936],{"dataC":2381,"xLinkHref":3893},[528,3938,3940],{"dataMmlNode":561,"transform":3939},"translate(7840.7,0)",[544,3941],{"dataC":2422,"xLinkHref":3942},"#MJX-9-TEX-I-1D444",[528,3944,3946],{"dataMmlNode":542,"transform":3945},"translate(8631.7,0)",[544,3947],{"dataC":593,"xLinkHref":3905},[528,3949,3951],{"dataMmlNode":542,"transform":3950},"translate(9242.9,0)",[544,3952],{"dataC":3953,"xLinkHref":3954},"2227","#MJX-9-TEX-N-2227",[528,3956,3958],{"dataMmlNode":538,"dataMjxTexclass":539,"transform":3957},"translate(10132.1,0)",[528,3959,3960],{"dataMmlNode":542},[544,3961],{"dataC":546,"xLinkHref":3962},"#MJX-9-TEX-N-AC",[528,3964,3966],{"dataMmlNode":542,"transform":3965},"translate(10799.1,0)",[544,3967],{"dataC":553,"xLinkHref":3882},[528,3969,3971],{"dataMmlNode":561,"transform":3970},"translate(11188.1,0)",[544,3972],{"dataC":2374,"xLinkHref":3887},[528,3974,3976],{"dataMmlNode":542,"transform":3975},"translate(12037.9,0)",[544,3977],{"dataC":2381,"xLinkHref":3893},[528,3979,3981],{"dataMmlNode":561,"transform":3980},"translate(12982.7,0)",[544,3982],{"dataC":945,"xLinkHref":3983},"#MJX-9-TEX-I-1D434",[528,3985,3987],{"dataMmlNode":542,"transform":3986},"translate(13732.7,0)",[544,3988],{"dataC":593,"xLinkHref":3905},[528,3990,3992],{"dataMmlNode":542,"transform":3991},"translate(14121.7,0)",[544,3993],{"dataC":593,"xLinkHref":3905},[528,3995,3997],{"dataMmlNode":542,"transform":3996},"translate(14788.4,0)",[544,3998],{"dataC":1456,"xLinkHref":3911},[528,4000,4002],{"dataMmlNode":538,"dataMjxTexclass":539,"transform":4001},"translate(16066.2,0)",[528,4003,4004],{"dataMmlNode":542},[544,4005],{"dataC":546,"xLinkHref":3962},[528,4007,4009],{"dataMmlNode":542,"transform":4008},"translate(16733.2,0)",[544,4010],{"dataC":553,"xLinkHref":3882},[528,4012,4014],{"dataMmlNode":561,"transform":4013},"translate(17122.2,0)",[544,4015],{"dataC":2374,"xLinkHref":3887},[528,4017,4019],{"dataMmlNode":542,"transform":4018},"translate(17972,0)",[544,4020],{"dataC":2381,"xLinkHref":3893},[528,4022,4024],{"dataMmlNode":561,"transform":4023},"translate(18916.8,0)",[544,4025],{"dataC":2388,"xLinkHref":3899},[528,4027,4029],{"dataMmlNode":542,"transform":4028},"translate(19667.8,0)",[544,4030],{"dataC":593,"xLinkHref":3905},[528,4032,4034],{"dataMmlNode":542,"transform":4033},"translate(20056.8,0)",[544,4035],{"dataC":593,"xLinkHref":3905},"\nистинно (т.е. принимает значение 1) при любом значении переменной х.",[693,4038,696],{"id":4039},"решение-8",[698,4041,701],{"id":4042},"решение-python-8",[703,4044,4046],{"className":705,"code":4045,"language":707,"meta":708,"style":708},"answer = 9999999999999\nfor a in range(0, 100):\n    for b in range(a, 100):\n        counter = 0\n        for i in range(2, 200):\n            x = i \u002F 2\n            if not (15 \u003C= x \u003C= 40) or (not (21 \u003C= x \u003C= 63 and not (a \u003C= x \u003C= b)) or not (15 \u003C= x \u003C= 40)):\n                counter += 1\n        if counter == 198:\n            answer = min(answer, b - a)\n            break\nprint(answer)\n",[710,4047,4048,4058,4078,4094,4103,4123,4135,4213,4222,4236,4252,4257],{"__ignoreMap":708},[713,4049,4050,4053,4055],{"class":715,"line":716},[713,4051,4052],{"class":719},"answer ",[713,4054,724],{"class":723},[713,4056,4057],{"class":727}," 9999999999999\n",[713,4059,4060,4062,4064,4066,4068,4070,4072,4074,4076],{"class":715,"line":731},[713,4061,734],{"class":723},[713,4063,2493],{"class":719},[713,4065,740],{"class":723},[713,4067,743],{"class":727},[713,4069,746],{"class":719},[713,4071,531],{"class":727},[713,4073,752],{"class":719},[713,4075,1079],{"class":727},[713,4077,758],{"class":719},[713,4079,4080,4082,4084,4086,4088,4090,4092],{"class":715,"line":761},[713,4081,1095],{"class":723},[713,4083,2564],{"class":719},[713,4085,740],{"class":723},[713,4087,743],{"class":727},[713,4089,2571],{"class":719},[713,4091,1079],{"class":727},[713,4093,758],{"class":719},[713,4095,4096,4099,4101],{"class":715,"line":818},[713,4097,4098],{"class":719},"        counter ",[713,4100,724],{"class":723},[713,4102,728],{"class":727},[713,4104,4105,4107,4109,4111,4113,4115,4117,4119,4121],{"class":715,"line":830},[713,4106,1118],{"class":723},[713,4108,2590],{"class":719},[713,4110,740],{"class":723},[713,4112,743],{"class":727},[713,4114,746],{"class":719},[713,4116,776],{"class":727},[713,4118,752],{"class":719},[713,4120,2603],{"class":727},[713,4122,758],{"class":719},[713,4124,4125,4127,4129,4131,4133],{"class":715,"line":1138},[713,4126,2610],{"class":719},[713,4128,724],{"class":723},[713,4130,2590],{"class":719},[713,4132,2617],{"class":723},[713,4134,2620],{"class":727},[713,4136,4137,4139,4141,4143,4146,4149,4151,4153,4156,4158,4160,4162,4164,4166,4169,4171,4173,4175,4178,4181,4183,4186,4188,4190,4192,4195,4197,4199,4201,4203,4205,4207,4209,4211],{"class":715,"line":1178},[713,4138,1141],{"class":723},[713,4140,767],{"class":723},[713,4142,1703],{"class":719},[713,4144,4145],{"class":727},"15",[713,4147,4148],{"class":723}," \u003C=",[713,4150,737],{"class":719},[713,4152,1170],{"class":723},[713,4154,4155],{"class":727}," 40",[713,4157,785],{"class":719},[713,4159,788],{"class":723},[713,4161,1703],{"class":719},[713,4163,1292],{"class":723},[713,4165,1703],{"class":719},[713,4167,4168],{"class":727},"21",[713,4170,4148],{"class":723},[713,4172,737],{"class":719},[713,4174,1170],{"class":723},[713,4176,4177],{"class":727}," 63",[713,4179,4180],{"class":723}," and",[713,4182,767],{"class":723},[713,4184,4185],{"class":719}," (a ",[713,4187,1170],{"class":723},[713,4189,737],{"class":719},[713,4191,1170],{"class":723},[713,4193,4194],{"class":719}," b)) ",[713,4196,788],{"class":723},[713,4198,767],{"class":723},[713,4200,1703],{"class":719},[713,4202,4145],{"class":727},[713,4204,4148],{"class":723},[713,4206,737],{"class":719},[713,4208,1170],{"class":723},[713,4210,4155],{"class":727},[713,4212,815],{"class":719},[713,4214,4215,4218,4220],{"class":715,"line":1188},[713,4216,4217],{"class":719},"                counter ",[713,4219,824],{"class":723},[713,4221,827],{"class":727},[713,4223,4224,4226,4229,4231,4234],{"class":715,"line":1210},[713,4225,1695],{"class":723},[713,4227,4228],{"class":719}," counter ",[713,4230,1196],{"class":723},[713,4232,4233],{"class":727}," 198",[713,4235,1207],{"class":719},[713,4237,4238,4241,4243,4245,4248,4250],{"class":715,"line":1224},[713,4239,4240],{"class":719},"            answer ",[713,4242,724],{"class":723},[713,4244,2693],{"class":727},[713,4246,4247],{"class":719},"(answer, b ",[713,4249,2699],{"class":723},[713,4251,2702],{"class":719},[713,4253,4254],{"class":715,"line":1692},[713,4255,4256],{"class":723},"            break\n",[713,4258,4259,4261],{"class":715,"line":1729},[713,4260,833],{"class":727},[713,4262,4263],{"class":719},"(answer)\n",[1231,4265,4266,4269,4272,4275,4278],{},[1234,4267,4268],{},"Заводим переменную answer с большим значением(т.к. нужно найти минимум) под ответ задачи.",[1234,4270,4271],{},"В циклах перебираем все возможные значения отрезка A(a - начало отрезка, b - конец) и вначале работы второго цикла заводим переменную счётчик(counter = 0) для каждого отрезка A, которую далее будем проверять.",[1234,4273,4274],{},"Затем в цикле перебираем значения x. В задачах на отрезки переменная x должна быть дробным числом. Это можно сделать: указав шаг в функции range или использовать переменную цикла как вспомогательную. В решении используем переменную i как вспомогательную и затем внутри этого цикла получаем x = i \u002F 2 (здесь идёт обычное деление потому что мы хотим именно дробные значения для x). И т.к. отрезок A начинается с 0, цикл i начинаем с 2 (это связанно с коллизией или исключительной ситуацией). Диапазон цикла для i всегда выбираем в 2 раза больше чем для a b. p.s. Можно также найти решение с меньших значений у циклов например 50 для a и b и 100 для i.",[1234,4276,4277],{},"В 3 цикле с x проверяем само выражение(если бы в задаче спрашивали про ложность, то необходимо было всё выражение взять в скобочки и инвертировать через not). Следование делается по формуле A ⟶ B = ¬A ∨ B. Если условие соблюдается то внутри условия увеличиваем счётчик на 1.",[1234,4279,4280],{},"И последнее в условии в цикле для A проверяем в конце то что счетчик каждое условие посчитал, т.е. сколько было запусков цикла i столько раз и увеличивался счётчик на 1. Если это так, то вычисляем минимум функцией min и прерываем цикл(чтобы программа быстрее завершилась и не \"перебирала\" дальше) и выводим ответ на задачу.",[402,4282,4283],{},[406,4284,4285],{},"Ответ: 19",[447,4287,4289],{"id":4288},"задача-10-демоверсия-егэ-2026","Задача 10 (Демоверсия ЕГЭ 2026)",[402,4291,4292,4293,4036],{},"На числовой прямой даны два отрезка: P = [25; 64] и Q = [40; 115].\nУкажите наименьшую возможную длину такого отрезка A, для которого логическое выражение:\n",[455,4294,4296],{"className":4295,"jax":459},[458],[461,4297,4298,4330],{"style":463,"xmlns":464,"width":3839,"height":874,"role":467,"focusable":468,"viewBox":3840,"xmlnsXLink":470},[472,4299,4300,4303,4306,4309,4312,4315,4318,4321,4324,4327],{},[475,4301],{"id":4302,"d":482},"MJX-10-TEX-N-28",[475,4304],{"id":4305,"d":2327},"MJX-10-TEX-I-1D465",[475,4307],{"id":4308,"d":2331},"MJX-10-TEX-N-2208",[475,4310],{"id":4311,"d":2335},"MJX-10-TEX-I-1D443",[475,4313],{"id":4314,"d":502},"MJX-10-TEX-N-29",[475,4316],{"id":4317,"d":1378},"MJX-10-TEX-N-2192",[475,4319],{"id":4320,"d":2345},"MJX-10-TEX-I-1D444",[475,4322],{"id":4323,"d":3867},"MJX-10-TEX-N-2227",[475,4325],{"id":4326,"d":478},"MJX-10-TEX-N-AC",[475,4328],{"id":4329,"d":890},"MJX-10-TEX-I-1D434",[528,4331,4332],{"stroke":530,"fill":530,"stroke-width":531,"transform":532},[528,4333,4334,4339,4344,4349,4354,4359,4364,4368,4372,4376,4380,4384,4389,4393,4398,4405,4409,4413,4417,4422,4426,4430,4434,4440,4444,4448,4452,4456,4460],{"dataMmlNode":535},[528,4335,4336],{"dataMmlNode":542},[544,4337],{"dataC":553,"xLinkHref":4338},"#MJX-10-TEX-N-28",[528,4340,4341],{"dataMmlNode":561,"transform":930},[544,4342],{"dataC":2374,"xLinkHref":4343},"#MJX-10-TEX-I-1D465",[528,4345,4346],{"dataMmlNode":542,"transform":3890},[544,4347],{"dataC":2381,"xLinkHref":4348},"#MJX-10-TEX-N-2208",[528,4350,4351],{"dataMmlNode":561,"transform":3896},[544,4352],{"dataC":2388,"xLinkHref":4353},"#MJX-10-TEX-I-1D443",[528,4355,4356],{"dataMmlNode":542,"transform":3902},[544,4357],{"dataC":593,"xLinkHref":4358},"#MJX-10-TEX-N-29",[528,4360,4361],{"dataMmlNode":542,"transform":3908},[544,4362],{"dataC":1456,"xLinkHref":4363},"#MJX-10-TEX-N-2192",[528,4365,4366],{"dataMmlNode":542,"transform":3914},[544,4367],{"dataC":553,"xLinkHref":4338},[528,4369,4370],{"dataMmlNode":542,"transform":3919},[544,4371],{"dataC":553,"xLinkHref":4338},[528,4373,4374],{"dataMmlNode":542,"transform":3924},[544,4375],{"dataC":553,"xLinkHref":4338},[528,4377,4378],{"dataMmlNode":561,"transform":3929},[544,4379],{"dataC":2374,"xLinkHref":4343},[528,4381,4382],{"dataMmlNode":542,"transform":3934},[544,4383],{"dataC":2381,"xLinkHref":4348},[528,4385,4386],{"dataMmlNode":561,"transform":3939},[544,4387],{"dataC":2422,"xLinkHref":4388},"#MJX-10-TEX-I-1D444",[528,4390,4391],{"dataMmlNode":542,"transform":3945},[544,4392],{"dataC":593,"xLinkHref":4358},[528,4394,4395],{"dataMmlNode":542,"transform":3950},[544,4396],{"dataC":3953,"xLinkHref":4397},"#MJX-10-TEX-N-2227",[528,4399,4400],{"dataMmlNode":538,"dataMjxTexclass":539,"transform":3957},[528,4401,4402],{"dataMmlNode":542},[544,4403],{"dataC":546,"xLinkHref":4404},"#MJX-10-TEX-N-AC",[528,4406,4407],{"dataMmlNode":542,"transform":3965},[544,4408],{"dataC":553,"xLinkHref":4338},[528,4410,4411],{"dataMmlNode":561,"transform":3970},[544,4412],{"dataC":2374,"xLinkHref":4343},[528,4414,4415],{"dataMmlNode":542,"transform":3975},[544,4416],{"dataC":2381,"xLinkHref":4348},[528,4418,4419],{"dataMmlNode":561,"transform":3980},[544,4420],{"dataC":945,"xLinkHref":4421},"#MJX-10-TEX-I-1D434",[528,4423,4424],{"dataMmlNode":542,"transform":3986},[544,4425],{"dataC":593,"xLinkHref":4358},[528,4427,4428],{"dataMmlNode":542,"transform":3991},[544,4429],{"dataC":593,"xLinkHref":4358},[528,4431,4432],{"dataMmlNode":542,"transform":3996},[544,4433],{"dataC":1456,"xLinkHref":4363},[528,4435,4436],{"dataMmlNode":538,"dataMjxTexclass":539,"transform":4001},[528,4437,4438],{"dataMmlNode":542},[544,4439],{"dataC":546,"xLinkHref":4404},[528,4441,4442],{"dataMmlNode":542,"transform":4008},[544,4443],{"dataC":553,"xLinkHref":4338},[528,4445,4446],{"dataMmlNode":561,"transform":4013},[544,4447],{"dataC":2374,"xLinkHref":4343},[528,4449,4450],{"dataMmlNode":542,"transform":4018},[544,4451],{"dataC":2381,"xLinkHref":4348},[528,4453,4454],{"dataMmlNode":561,"transform":4023},[544,4455],{"dataC":2388,"xLinkHref":4353},[528,4457,4458],{"dataMmlNode":542,"transform":4028},[544,4459],{"dataC":593,"xLinkHref":4358},[528,4461,4462],{"dataMmlNode":542,"transform":4033},[544,4463],{"dataC":593,"xLinkHref":4358},[693,4465,696],{"id":4466},"решение-9",[698,4468,701],{"id":4469},"решение-python-9",[703,4471,4473],{"className":705,"code":4472,"language":707,"meta":708,"style":708},"answer = 9999999999999\nfor a in range(0, 100):\n    for b in range(a, 100):\n        counter = 0\n        for i in range(2, 200):\n            x = i \u002F 2\n            if not (25 \u003C= x \u003C= 64) or (not (40 \u003C= x \u003C= 115 and not (a \u003C= x \u003C= b)) or not (25 \u003C= x \u003C= 64)):\n                counter += 1\n        if counter == 198:\n            answer = min(answer, b - a)\n            break\nprint(answer)\n",[710,4474,4475,4483,4503,4519,4527,4547,4559,4633,4641,4653,4667,4671],{"__ignoreMap":708},[713,4476,4477,4479,4481],{"class":715,"line":716},[713,4478,4052],{"class":719},[713,4480,724],{"class":723},[713,4482,4057],{"class":727},[713,4484,4485,4487,4489,4491,4493,4495,4497,4499,4501],{"class":715,"line":731},[713,4486,734],{"class":723},[713,4488,2493],{"class":719},[713,4490,740],{"class":723},[713,4492,743],{"class":727},[713,4494,746],{"class":719},[713,4496,531],{"class":727},[713,4498,752],{"class":719},[713,4500,1079],{"class":727},[713,4502,758],{"class":719},[713,4504,4505,4507,4509,4511,4513,4515,4517],{"class":715,"line":761},[713,4506,1095],{"class":723},[713,4508,2564],{"class":719},[713,4510,740],{"class":723},[713,4512,743],{"class":727},[713,4514,2571],{"class":719},[713,4516,1079],{"class":727},[713,4518,758],{"class":719},[713,4520,4521,4523,4525],{"class":715,"line":818},[713,4522,4098],{"class":719},[713,4524,724],{"class":723},[713,4526,728],{"class":727},[713,4528,4529,4531,4533,4535,4537,4539,4541,4543,4545],{"class":715,"line":830},[713,4530,1118],{"class":723},[713,4532,2590],{"class":719},[713,4534,740],{"class":723},[713,4536,743],{"class":727},[713,4538,746],{"class":719},[713,4540,776],{"class":727},[713,4542,752],{"class":719},[713,4544,2603],{"class":727},[713,4546,758],{"class":719},[713,4548,4549,4551,4553,4555,4557],{"class":715,"line":1138},[713,4550,2610],{"class":719},[713,4552,724],{"class":723},[713,4554,2590],{"class":719},[713,4556,2617],{"class":723},[713,4558,2620],{"class":727},[713,4560,4561,4563,4565,4567,4570,4572,4574,4576,4579,4581,4583,4585,4587,4589,4592,4594,4596,4598,4601,4603,4605,4607,4609,4611,4613,4615,4617,4619,4621,4623,4625,4627,4629,4631],{"class":715,"line":1178},[713,4562,1141],{"class":723},[713,4564,767],{"class":723},[713,4566,1703],{"class":719},[713,4568,4569],{"class":727},"25",[713,4571,4148],{"class":723},[713,4573,737],{"class":719},[713,4575,1170],{"class":723},[713,4577,4578],{"class":727}," 64",[713,4580,785],{"class":719},[713,4582,788],{"class":723},[713,4584,1703],{"class":719},[713,4586,1292],{"class":723},[713,4588,1703],{"class":719},[713,4590,4591],{"class":727},"40",[713,4593,4148],{"class":723},[713,4595,737],{"class":719},[713,4597,1170],{"class":723},[713,4599,4600],{"class":727}," 115",[713,4602,4180],{"class":723},[713,4604,767],{"class":723},[713,4606,4185],{"class":719},[713,4608,1170],{"class":723},[713,4610,737],{"class":719},[713,4612,1170],{"class":723},[713,4614,4194],{"class":719},[713,4616,788],{"class":723},[713,4618,767],{"class":723},[713,4620,1703],{"class":719},[713,4622,4569],{"class":727},[713,4624,4148],{"class":723},[713,4626,737],{"class":719},[713,4628,1170],{"class":723},[713,4630,4578],{"class":727},[713,4632,815],{"class":719},[713,4634,4635,4637,4639],{"class":715,"line":1188},[713,4636,4217],{"class":719},[713,4638,824],{"class":723},[713,4640,827],{"class":727},[713,4642,4643,4645,4647,4649,4651],{"class":715,"line":1210},[713,4644,1695],{"class":723},[713,4646,4228],{"class":719},[713,4648,1196],{"class":723},[713,4650,4233],{"class":727},[713,4652,1207],{"class":719},[713,4654,4655,4657,4659,4661,4663,4665],{"class":715,"line":1224},[713,4656,4240],{"class":719},[713,4658,724],{"class":723},[713,4660,2693],{"class":727},[713,4662,4247],{"class":719},[713,4664,2699],{"class":723},[713,4666,2702],{"class":719},[713,4668,4669],{"class":715,"line":1692},[713,4670,4256],{"class":723},[713,4672,4673,4675],{"class":715,"line":1729},[713,4674,833],{"class":727},[713,4676,4263],{"class":719},[1231,4678,4679,4681,4683,4685,4687],{},[1234,4680,4268],{},[1234,4682,4271],{},[1234,4684,4274],{},[1234,4686,4277],{},[1234,4688,4280],{},[402,4690,4691],{},[406,4692,4693],{},"Ответ: 24",[402,4695,4696,4697,4700,4701,4704],{},"Попробуйте сами запустить код в окне ниже с интерпретатором Python и повторите примеры из статьи чтобы самим увидеть и понять как всё это работает. Для этого в ячейке с кодом нажмите клавиши на клавиатуре ",[406,4698,4699],{},"Shift+Enter"," или запустите код через ",[406,4702,4703],{},"кнопку Run"," по значку ▶.",[4706,4707],"jypiter",{},[4709,4710,4711],"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",[4709,4713,4714],{},"html pre.shiki code .sgsFI, html code.shiki .sgsFI{--shiki-default:#24292E}html pre.shiki code .sD7c4, html code.shiki .sD7c4{--shiki-default:#D73A49}html pre.shiki code .sYu0t, html code.shiki .sYu0t{--shiki-default:#005CC5}html .default .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html pre.shiki code .s7eDp, html code.shiki .s7eDp{--shiki-default:#6F42C1}html pre.shiki code .sAwPA, html code.shiki .sAwPA{--shiki-default:#6A737D}",{"title":708,"searchDepth":731,"depth":830,"links":4716},[4717],{"id":399,"depth":731,"text":400,"children":4718},[4719,4724,4729,4734,4739,4744,4749,4754,4759,4764],{"id":449,"depth":818,"text":450,"children":4720},[4721],{"id":695,"depth":830,"text":696,"children":4722},[4723],{"id":700,"depth":1138,"text":701},{"id":863,"depth":818,"text":864,"children":4725},[4726],{"id":1042,"depth":830,"text":696,"children":4727},[4728],{"id":1045,"depth":1138,"text":701},{"id":1331,"depth":818,"text":1332,"children":4730},[4731],{"id":1566,"depth":830,"text":696,"children":4732},[4733],{"id":1569,"depth":1138,"text":701},{"id":1822,"depth":818,"text":1823,"children":4735},[4736],{"id":2125,"depth":830,"text":696,"children":4737},[4738],{"id":2128,"depth":1138,"text":701},{"id":2304,"depth":818,"text":2305,"children":4740},[4741],{"id":2468,"depth":830,"text":696,"children":4742},[4743],{"id":2471,"depth":1138,"text":701},{"id":2809,"depth":818,"text":2810,"children":4745},[4746],{"id":2959,"depth":830,"text":696,"children":4747},[4748],{"id":2962,"depth":1138,"text":701},{"id":3242,"depth":818,"text":3243,"children":4750},[4751],{"id":3249,"depth":830,"text":696,"children":4752},[4753],{"id":3252,"depth":1138,"text":701},{"id":3488,"depth":818,"text":3489,"children":4755},[4756],{"id":3663,"depth":830,"text":696,"children":4757},[4758],{"id":3666,"depth":1138,"text":701},{"id":3829,"depth":818,"text":3830,"children":4760},[4761],{"id":4039,"depth":830,"text":696,"children":4762},[4763],{"id":4042,"depth":1138,"text":701},{"id":4288,"depth":818,"text":4289,"children":4765},[4766],{"id":4466,"depth":830,"text":696,"children":4767},[4768],{"id":4469,"depth":1138,"text":701},"2025-09-04","Преобразование логических выражений","md","images\u002Fblog\u002Fege\u002Ftask15\u002Fimg.png",{},25,{"title":39,"description":4770},"n2DENDchwrb89EBSFM2BNjISJ1xa-tPCSY4wr5x4jMw",[4778,4780],{"title":35,"path":36,"stem":37,"description":4779,"children":-1},"Системы счисления. Кодирование чисел",{"title":43,"path":44,"stem":45,"description":4781,"children":-1},"Рекурсивные алгоритмы",1780737504418]