{"id":1487,"date":"2025-12-05T08:08:24","date_gmt":"2025-12-05T07:08:24","guid":{"rendered":"https:\/\/control-advent.com\/?p=1487"},"modified":"2025-12-05T08:08:26","modified_gmt":"2025-12-05T07:08:26","slug":"05-how-many-cookies-should-the-elves-eat-to-stay-safe-on-the-ice","status":"publish","type":"post","link":"https:\/\/control-advent.com\/?p=1487","title":{"rendered":"05 &#8211; How many cookies should the elves eat to stay safe on the ice?"},"content":{"rendered":"\n<p>The elves are out for a fun skating adventure! The ice rink is partly a frozen lake on the right side and partly an over-frozen meadow on the left side of the plot. (The border between the two areas is marked with a black line.) You can see the trails they skate along, with each trail colored according to how far they go depending on how many cookies they eat before skating. There\u2019s even a legend showing cookie amounts from 0 to 10.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"804\" src=\"https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image-1024x804.png\" alt=\"\" class=\"wp-image-1488\" srcset=\"https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image-1024x804.png 1024w, https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image-300x236.png 300w, https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image-768x603.png 768w, https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image-1536x1207.png 1536w, https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image-24x19.png 24w, https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image-36x28.png 36w, https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image-48x38.png 48w, https:\/\/control-advent.com\/wp-content\/uploads\/2025\/12\/image.png 1600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-left\">The elves have a sweet\u2014but risky\u2014problem: the more cookies they eat, the farther they skate along their trail. If they end up on the frozen lake and the sun starts melting the ice, they could end up in the water!<\/p>\n\n\n\n<p class=\"has-text-align-left\">How many cookies should each elf eat (all get the same amount) so that when their cookie fuel runs out, a. \u2705\u2744\ufe0f\ud83c\udf89 Any amount is fine\u2014no matter how many cookies they eat, they\u2019ll stop safely.<\/p>\n\n\n\n<p>b. \u26a0\ufe0f\ud83c\udf0a\ud83e\udd76 Any amount means some elves will end up in the water.<\/p>\n\n\n\n<p>c. \ud83c\udf6a\ud83c\udf6a\u26f8\ufe0f As long as they all have only 2 cookies each, they are safe on the meadow.<\/p>\n\n\n\n<p>d. \ud83e\udd1e\ud83c\udf6a\u2744\ufe0f When they each eat 5 cookies, they might just be fine.<\/p>\n\n\n\n<p>e. \ud83c\udf6a\ud83c\udf0a\u274c As long as they all have at least 8 cookies, they are safe.<\/p>\n\n\n\n<p>f. \u26f8\ufe0f\ud83c\udf6a\u2705 They must eat at most 8 cookies each to be safe.<\/p>\n\n\n<div class='bootstrap-yop yop-poll-mc'>\n\t\t\t\t\t\t\t<div class=\"basic-yop-poll-container\" style=\"background-color:#b70004; border:0px; border-style:solid; border-color:#b70004; border-radius:0px; padding:10px 10px;\" data-id=\"42\" data-temp=\"basic\" data-skin=\"minimal\" data-cscheme=\"black\" data-cap=\"0\" data-access=\"wordpress\" data-tid=\"\" data-uid=\"43eec768c4aed295c64da3d7a6efa0f5\" data-pid=\"1487\" data-resdet=\"percentages\" data-show-results-to=\"\" data-show-results-moment=\"never\" data-show-results-only=\"false\" data-show-message=\"true\" data-show-results-as=\"bar\" data-sort-results-by=\"as-defined\" data-sort-results-rule=\"asc\"data-is-ended=\"0\" data-gdpr=\"no\" data-gdpr-sol=\"consent\" data-css=\".basic-yop-poll-container[data-uid] .basic-vote { text-align: center; }\" data-counter=\"0\" data-load-with=\"1\" data-notification-section=\"top\"><div class=\"row\"><div class=\"col-md-12\"><div class=\"basic-inner\"><div class=\"basic-message hide\" style=\"border-left: 10px solid #008000; padding: 0px 10px;\" data-error=\"#ff0000\" data-success=\"#008000\"><p class=\"basic-message-text\" style=\"color:#000000; font-size:14px; font-weight:normal;\"><\/p><\/div><div class=\"basic-overlay hide\"><div class=\"basic-vote-options\"><\/div><div class=\"basic-preloader\"><div class=\"basic-windows8\"><div class=\"basic-wBall basic-wBall_1\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_2\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_3\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_4\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_5\"><div class=\"basic-wInnerBall\"><\/div><\/div><\/div><\/div><\/div><form class=\"basic-form\"><input type=\"hidden\" name=\"_token\" value=\"f898cbfc35\" autocomplete=\"off\"><div class=\"basic-elements\"><div class=\"basic-element basic-question basic-question-text-horizontal\" data-id=\"42\" data-uid=\"3797d49bfe4f697426367491fdaa5085\" data-type=\"question\" data-question-type=\"text\" data-allow-multiple=\"no\" data-min=\"1\" data-max=\"1\" data-display=\"horizontal\" data-colnum=\"\" data-display-others=\"no\" data-others-color=\"\" data-others=\"\"><div role=\"heading\" aria-level=\"5\" class=\"basic-question-title\" style=\"color:#ffffff; font-size:14px; font-weight:normal; text-align:center;\">Choose an option:<\/div><ul class=\"basic-answers basic-h-answers\"><li class=\"basic-answer col-xs-6 col-sm-6 col-md-2\" style=\"padding:0px 0px;\" data-id=\"346\" data-type=\"text\" data-vn=\"0\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[346]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[346]\" name=\"answer[42]\" value=\"346\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">a<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 col-md-2\" style=\"padding:0px 0px;\" data-id=\"347\" data-type=\"text\" data-vn=\"4\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[347]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[347]\" name=\"answer[42]\" value=\"347\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">b<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 col-md-2\" style=\"padding:0px 0px;\" data-id=\"348\" data-type=\"text\" data-vn=\"4\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[348]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[348]\" name=\"answer[42]\" value=\"348\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">c<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 col-md-2\" style=\"padding:0px 0px;\" data-id=\"352\" data-type=\"text\" data-vn=\"57\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[352]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[352]\" name=\"answer[42]\" value=\"352\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">d<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 col-md-2\" style=\"padding:0px 0px;\" data-id=\"353\" data-type=\"text\" data-vn=\"3\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[353]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[353]\" name=\"answer[42]\" value=\"353\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">e<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 col-md-2\" style=\"padding:0px 0px;\" data-id=\"355\" data-type=\"text\" data-vn=\"3\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[355]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[355]\" name=\"answer[42]\" value=\"355\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">f<\/span><\/label><\/div><\/li><\/ul><\/div><div class=\"clearfix\"><\/div><\/div><div class=\"basic-vote\"><a href=\"#\" class=\"button basic-vote-button\" role=\"button\" style=\"background:#ffffff; border:1px; border-style: solid; border-color:#000000; border-radius:0px; padding:5px 10px; color:#000000; font-size:14px; font-weight:normal;\">&gt;&gt;&gt;<\/a><\/div><\/form><div class=\"yop-poll-modal\"><div class=\"yop-poll-modal-content\"><div class=\"yop-poll-modal-header\"><span class=\"yop-poll-modal-close\">&times;<\/span><\/div><div class=\"yop-poll-modal-body\"><div class=\"yop-poll-form-group\"><label class=\"yop-poll-user-or-email-label\">Username or Email Address<\/label><input type=\"text\" class=\"yop-poll-user-or-email-input\" autocomplete=\"off\"><\/div><div class=\"yop-poll-form-group\"><label class=\"yop-poll-password-label\">Password<\/label><input type=\"password\" class=\"yop-poll-password-input\" autocomplete=\"off\"><\/div><div class=\"yop-poll-form-group submit\"><button class=\"button button-primary button-large yop-poll-login-button\">Log In<\/button><\/div><div class=\"yop-poll-form-group yop-poll-section-login-options\"><p><a href=\"https:\/\/control-advent.com\/wp-login.php?action=register\" target=\"_blank\">No account? Register here<\/a><\/p><p><a href=\"https:\/\/control-advent.com\/wp-login.php?action=lostpassword\" target=\"_blank\">Forgot password<\/a><\/p><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div>\n\t\t\t\t\t\t<\/div>\n\n\n\n<p><strong>Related control topic: root locus curve<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The elves are out for a fun skating adventure! The ice rink is partly a frozen lake on the right side and partly an over-frozen meadow on the left side of the plot. (The border between the two areas is &hellip; <span class=\"more-link\"><a href=\"https:\/\/control-advent.com\/?p=1487\" class=\"readmore\">Continue reading<span class=\"screen-reader-text\">05 &#8211; How many cookies should the elves eat to stay safe on the ice?<\/span><\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":1489,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[111],"class_list":["post-1487","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-english","tag-2025-en"],"_links":{"self":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1487","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1487"}],"version-history":[{"count":2,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1487\/revisions"}],"predecessor-version":[{"id":1493,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1487\/revisions\/1493"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/media\/1489"}],"wp:attachment":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1487"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1487"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1487"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}