{"id":4807,"date":"2013-06-05T07:54:46","date_gmt":"2013-06-05T05:54:46","guid":{"rendered":"http:\/\/penszko.blog.polityka.pl\/?p=4807"},"modified":"2013-06-05T07:54:46","modified_gmt":"2013-06-05T05:54:46","slug":"macki-z-zagadka","status":"publish","type":"post","link":"https:\/\/blog.polityka.pl\/penszko\/2013\/06\/05\/macki-z-zagadka\/","title":{"rendered":"Macki z zagadk\u0105"},"content":{"rendered":"<p>Je\u015bli zaczniemy rozwi\u0105zywa\u0107 poni\u017csze <em>macki<\/em> zgodnie z &#8222;klasycznymi&#8221; regu\u0142ami<\/p>\n<p><a href=\"\/wp-content\/uploads\/2013\/06\/Maz_1.1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-4808\" title=\"Maz_1.1\" src=\"\/wp-content\/uploads\/2013\/06\/Maz_1.1-1024x307.jpg\" alt=\"\" width=\"440\" height=\"131\" srcset=\"\/penszko\/wp-content\/uploads\/2013\/06\/Maz_1.1-1024x307.jpg 1024w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_1.1-300x90.jpg 300w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_1.1.jpg 1200w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><\/a><\/p>\n<p>to oka\u017ce si\u0119, ze rozwi\u0105zania s\u0105 dwa:<\/p>\n<p><a href=\"\/wp-content\/uploads\/2013\/06\/Maz_2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4809\" title=\"Maz_2\" src=\"\/wp-content\/uploads\/2013\/06\/Maz_2-300x137.jpg\" alt=\"\" width=\"300\" height=\"137\" srcset=\"\/penszko\/wp-content\/uploads\/2013\/06\/Maz_2-300x137.jpg 300w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_2-1024x467.jpg 1024w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_2.jpg 1200w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Aby by\u0142o jedno, wystarczy\u0142oby np. jedn\u0105 z tr\u00f3jek przy brzegu przenie\u015b\u0107 do rogu. Mo\u017cna tak\u017ce zmieni\u0107 warto\u015bci prawie wszystkich cyfr bez ich przenoszenia, np. tak:<\/p>\n<p><a href=\"\/wp-content\/uploads\/2013\/06\/Maz_3.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4810\" title=\"Maz_3\" src=\"\/wp-content\/uploads\/2013\/06\/Maz_3-300x137.jpg\" alt=\"\" width=\"300\" height=\"137\" srcset=\"\/penszko\/wp-content\/uploads\/2013\/06\/Maz_3-300x137.jpg 300w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_3-1024x467.jpg 1024w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_3.jpg 1200w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Tylko \u017ce teraz s\u0105 to ju\u017c inne <em>macki<\/em>. Jakie s\u0105 ich zasady? &#8211; oto zagadka indukcyjna do rozgryzienia na podstawie powy\u017cszego przyk\u0142adu z rozwi\u0105zaniem. A po rozszyfrowaniu zasad nale\u017cy z nich skorzysta\u0107 przy rozwi\u0105zywaniu zadania:<\/p>\n<p><a href=\"\/wp-content\/uploads\/2013\/06\/Maz_4.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4811\" title=\"Maz_4\" src=\"\/wp-content\/uploads\/2013\/06\/Maz_4-300x300.jpg\" alt=\"\" width=\"300\" height=\"300\" srcset=\"\/penszko\/wp-content\/uploads\/2013\/06\/Maz_4-300x300.jpg 300w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_4-150x150.jpg 150w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_4-1024x1024.jpg 1024w, \/penszko\/wp-content\/uploads\/2013\/06\/Maz_4.jpg 1200w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>W rozwi\u0105zaniu wystarczy poda\u0107, ilu p\u00f3l si\u0119gaj\u0105 mackami dw\u00f3jki.<\/p>\n<p><a href=\"\/wp-content\/uploads\/2013\/05\/Kom.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4770\" title=\"Kom\" src=\"\/wp-content\/uploads\/2013\/05\/Kom-300x8.jpg\" alt=\"\" width=\"300\" height=\"8\" srcset=\"\/penszko\/wp-content\/uploads\/2013\/05\/Kom-300x8.jpg 300w, \/penszko\/wp-content\/uploads\/2013\/05\/Kom-1024x27.jpg 1024w, \/penszko\/wp-content\/uploads\/2013\/05\/Kom-e1574337004355-768x20.jpg 768w, \/penszko\/wp-content\/uploads\/2013\/05\/Kom.jpg 1200w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Je\u015bli zaczniemy rozwi\u0105zywa\u0107 poni\u017csze macki zgodnie z &#8222;klasycznymi&#8221; regu\u0142ami to oka\u017ce si\u0119, ze rozwi\u0105zania s\u0105 dwa: Aby by\u0142o jedno, wystarczy\u0142oby np. jedn\u0105 z tr\u00f3jek przy brzegu przenie\u015b\u0107 do rogu. Mo\u017cna tak\u017ce zmieni\u0107 warto\u015bci prawie wszystkich cyfr bez ich przenoszenia, np. tak: Tylko \u017ce teraz s\u0105 to ju\u017c inne macki. Jakie s\u0105 ich zasady? &#8211; oto [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/posts\/4807"}],"collection":[{"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/comments?post=4807"}],"version-history":[{"count":13,"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/posts\/4807\/revisions"}],"predecessor-version":[{"id":4824,"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/posts\/4807\/revisions\/4824"}],"wp:attachment":[{"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/media?parent=4807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/categories?post=4807"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.polityka.pl\/penszko\/wp-json\/wp\/v2\/tags?post=4807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}