{"status": "success", "data": {"description_md": "A particle moves in the Cartesian Plane according to the following rules:<br><br>$(1)$ From any lattice point $(a,b)$, it may only move to $(a + 1,b)$, $(a,b + 1)$, or $(a + 1,b + 1)$.<br>$(2)$ There are no right angle turns in the particle's path.<br><br>How many different paths can the particle take from $(0,0)$ to $(5,5)$?\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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 particle moves in the Cartesian Plane according to the following rules:<br/><br/><span class=\"katex--inline\">(1)</span> From any lattice point <span class=\"katex--inline\">(a,b)</span>, it may only move to <span class=\"katex--inline\">(a + 1,b)</span>, <span class=\"katex--inline\">(a,b + 1)</span>, or <span class=\"katex--inline\">(a + 1,b + 1)</span>.<br/><span class=\"katex--inline\">(2)</span> There are no right angle turns in the particle&#8217;s path.<br/><br/>How many different paths can the particle take from <span class=\"katex--inline\">(0,0)</span> to <span class=\"katex--inline\">(5,5)</span>?</p>&#10;<hr/>&#10;<p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "2005 AIME I Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/05_aime_I_p14", "prev": "/problem/05_aime_I_p12"}}