{"status": "success", "data": {"description_md": "A bug travels in the coordinate plane, moving only along the lines that are parallel to the $x$-axis or $y$-axis. Let $A = (-3, 2)$ and $B = (3, -2)$. Consider all possible paths of the bug from $A$ to $B$ of length at most $20$. How many points with integer coordinates lie on at least one of these paths?\n\n$\\textbf{(A)}\\ 161 \\qquad \\textbf{(B)}\\ 185 \\qquad \\textbf{(C)}\\  195 \\qquad \\textbf{(D)}\\  227 \\qquad \\textbf{(E)}\\  255$\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 bug travels in the coordinate plane, moving only along the lines that are parallel to the  <span class=\"katex--inline\">x</span> -axis or  <span class=\"katex--inline\">y</span> -axis. Let  <span class=\"katex--inline\">A = (-3, 2)</span>  and  <span class=\"katex--inline\">B = (3, -2)</span> . Consider all possible paths of the bug from  <span class=\"katex--inline\">A</span>  to  <span class=\"katex--inline\">B</span>  of length at most  <span class=\"katex--inline\">20</span> . How many points with integer coordinates lie on at least one of these paths?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 161 \\qquad \\textbf{(B)}\\ 185 \\qquad \\textbf{(C)}\\  195 \\qquad \\textbf{(D)}\\  227 \\qquad \\textbf{(E)}\\  255</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": 5, "problem_name": "2011 AMC 12B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12B_p24", "prev": "/problem/11_amc12B_p22"}}