{"status": "success", "data": {"description_md": "A 16-step path is to go from $(-4,-4)$ to $(4,4)$ with each step increasing either the $x$-coordinate or the $y$-coordinate by 1. How many such paths stay outside or on the boundary of the square $-2 \\le x \\le 2$, $-2 \\le y \\le 2$ at each step?\n\n$\\textbf{(A)}\\ 92 \\qquad \\textbf{(B)}\\ 144 \\qquad \\textbf{(C)}\\ 1568 \\qquad \\textbf{(D)}\\ 1698 \\qquad \\textbf{(E)}\\ 12,800$\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 16-step path is to go from  <span class=\"katex--inline\">(-4,-4)</span>  to  <span class=\"katex--inline\">(4,4)</span>  with each step increasing either the  <span class=\"katex--inline\">x</span> -coordinate or the  <span class=\"katex--inline\">y</span> -coordinate by 1. How many such paths stay outside or on the boundary of the square  <span class=\"katex--inline\">-2 \\le x \\le 2</span> ,  <span class=\"katex--inline\">-2 \\le y \\le 2</span>  at each step?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 92 \\qquad \\textbf{(B)}\\ 144 \\qquad \\textbf{(C)}\\ 1568 \\qquad \\textbf{(D)}\\ 1698 \\qquad \\textbf{(E)}\\ 12,800</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": "2010 AMC 12A Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12A_p19", "prev": "/problem/10_amc12A_p17"}}