{"status": "success", "data": {"description_md": "Define an ordered quadruple of integers $(a, b, c, d)$ as interesting if $1 \\le a<b<c<d \\le 10$, and $a+d>b+c$. How many ordered quadruples are there?\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>Define an ordered quadruple of integers <span class=\"katex--inline\">(a, b, c, d)</span> as interesting if <span class=\"katex--inline\">1 \\le a&lt;b&lt;c&lt;d \\le 10</span>, and <span class=\"katex--inline\">a+d&gt;b+c</span>. How many ordered quadruples are there?</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": "2011 AIME II Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/11_aime_II_p07", "prev": "/problem/11_aime_II_p05"}}