{"status": "success", "data": {"description_md": "A right circular cone has a base with radius 600 and height $200\\sqrt{7}$. A fly starts at a point on the surface of the cone whose distance from the vertex of the cone is 125, and crawls along the surface of the cone to a point on the exact opposite side of the cone whose distance from the vertex is $375\\sqrt{2}$. Find the least distance that the fly could have crawled.\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 right circular cone has a base with radius 600 and height <span class=\"katex--inline\">200\\sqrt{7}</span>. A fly starts at a point on the surface of the cone whose distance from the vertex of the cone is 125, and crawls along the surface of the cone to a point on the exact opposite side of the cone whose distance from the vertex is <span class=\"katex--inline\">375\\sqrt{2}</span>. Find the least distance that the fly could have crawled.</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": 5, "problem_name": "2004 AIME II Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/04_aime_II_p12", "prev": "/problem/04_aime_II_p10"}}