{"status": "success", "data": {"description_md": "A set $S$ of points in the $xy$-plane is symmetric about the origin, both coordinate axes, and the line $y=x$. If $(2,3)$ is in $S$, what is the smallest number of points in $S$?\n\n$\\mathrm{(A) \\ } 1\\qquad \\mathrm{(B) \\ } 2\\qquad \\mathrm{(C) \\ } 4\\qquad \\mathrm{(D) \\ } 8\\qquad \\mathrm{(E) \\ } 16$\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>A set  <span class=\"katex--inline\">S</span>  of points in the  <span class=\"katex--inline\">xy</span> -plane is symmetric about the origin, both coordinate axes, and the line  <span class=\"katex--inline\">y=x</span> . If  <span class=\"katex--inline\">(2,3)</span>  is in  <span class=\"katex--inline\">S</span> , what is the smallest number of points in  <span class=\"katex--inline\">S</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 1\\qquad \\mathrm{(B) \\ } 2\\qquad \\mathrm{(C) \\ } 4\\qquad \\mathrm{(D) \\ } 8\\qquad \\mathrm{(E) \\ } 16</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": 2, "problem_name": "2003 AMC 12A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc12A_p10", "prev": "/problem/03_amc12A_p08"}}