{"status": "success", "data": {"description_md": "A frog is positioned at the origin in the coordinate plane. From the point $(x,y)$, the frog can jump to any of the points $(x+1, y), (x+2, y), (x, y+1),$ or $(x, y+2)$. Find the number of distinct sequences of jumps in which the frog begins at $(0,0)$ and ends at $(4,4)$.\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 frog is positioned at the origin in the coordinate plane. From the point <span class=\"katex--inline\">(x,y)</span>, the frog can jump to any of the points <span class=\"katex--inline\">(x+1, y), (x+2, y), (x, y+1),</span> or <span class=\"katex--inline\">(x, y+2)</span>. Find the number of distinct sequences of jumps in which the frog begins at <span class=\"katex--inline\">(0,0)</span> and ends at <span class=\"katex--inline\">(4,4)</span>.</p>&#10;<hr><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>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2018 AIME II Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/18_aime_II_p09", "prev": "/problem/18_aime_II_p07"}}