{"status": "success", "data": {"description_md": "In the diagram, there are 26 levels, labelled $A, B, C, \\ldots, Z$. There is one dot on level $A$. Each of levels $B, D, F, H, J, \\ldots$, and $Z$ contains twice as many dots as the level immediately above. Each of levels $C, E, G, I, K, \\ldots$, and $Y$ contains the same number of dots as the level immediately above. How many dots does level $Z$ contain?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2011/crops/11_pascal_p21_fig.png\" alt=\"figure\" width=\"175\"></center>\n\n$\\text{(A)}\\ 1024\\qquad\\text{(B)}\\ 2048\\qquad\\text{(C)}\\ 4096\\qquad\\text{(D)}\\ 8192\\qquad\\text{(E)}\\ 16\\,384$\n\n___\n\n**[Pascal](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>In the diagram, there are 26 levels, labelled <span class=\"katex--inline\">A, B, C, \\ldots, Z</span>. There is one dot on level <span class=\"katex--inline\">A</span>. Each of levels <span class=\"katex--inline\">B, D, F, H, J, \\ldots</span>, and <span class=\"katex--inline\">Z</span> contains twice as many dots as the level immediately above. Each of levels <span class=\"katex--inline\">C, E, G, I, K, \\ldots</span>, and <span class=\"katex--inline\">Y</span> contains the same number of dots as the level immediately above. How many dots does level <span class=\"katex--inline\">Z</span> contain?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2011/crops/11_pascal_p21_fig.png\" alt=\"figure\" width=\"175\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 1024\\qquad\\text{(B)}\\ 2048\\qquad\\text{(C)}\\ 4096\\qquad\\text{(D)}\\ 8192\\qquad\\text{(E)}\\ 16\\,384</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2011 Pascal Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/11_pascal_p22", "prev": "/problem/11_pascal_p20"}}