{"status": "success", "data": {"description_md": "How many ways are there to paint each of the integers $2, 3, \\ldots, 9$ either red, green, or blue so that each number has a different color from each of its proper divisors?\n\n$\\textbf{(A)}\\ 144\\qquad\\textbf{(B)}\\ 216\\qquad\\textbf{(C)}\\ 256\\qquad\\textbf{(D)}\\ 384\\qquad\\textbf{(E)}\\ 432$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>How many ways are there to paint each of the integers  <span class=\"katex--inline\">2, 3, \\ldots, 9</span>  either red, green, or blue so that each number has a different color from each of its proper divisors?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 144\\qquad\\textbf{(B)}\\ 216\\qquad\\textbf{(C)}\\ 256\\qquad\\textbf{(D)}\\ 384\\qquad\\textbf{(E)}\\ 432</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2019 AMC 12A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc12A_p14", "prev": "/problem/19_amc12A_p12"}}