{"status": "success", "data": {"description_md": "In the diagram, the shape consists of 48 identical cubes with edge length $\\sqrt{n}$. Entire faces of the cubes are attached to one another, as shown. What is the smallest positive integer $n$ so that the distance from $P$ to $Q$ is an integer?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2014/crops/14_pascal_p23_fig.png\" alt=\"figure\" width=\"334\"></center>\n\n$\\text{(A)}\\ 17\\qquad\\text{(B)}\\ 68\\qquad\\text{(C)}\\ 7\\qquad\\text{(D)}\\ 28\\qquad\\text{(E)}\\ 3$\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, the shape consists of 48 identical cubes with edge length <span class=\"katex--inline\">\\sqrt{n}</span>. Entire faces of the cubes are attached to one another, as shown. What is the smallest positive integer <span class=\"katex--inline\">n</span> so that the distance from <span class=\"katex--inline\">P</span> to <span class=\"katex--inline\">Q</span> is an integer?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2014/crops/14_pascal_p23_fig.png\" alt=\"figure\" width=\"334\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 17\\qquad\\text{(B)}\\ 68\\qquad\\text{(C)}\\ 7\\qquad\\text{(D)}\\ 28\\qquad\\text{(E)}\\ 3</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": 3, "problem_name": "2014 Pascal Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/14_pascal_p24", "prev": "/problem/14_pascal_p22"}}