{"status": "success", "data": {"description_md": "Given that $x$ and $y$ are both integers between $100$ and $999$, inclusive; $y$ is the number formed by reversing the digits of $x$; and $z=|x-y|$,\nHow many distinct values of $z$ are possible?\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>Given that <span class=\"katex--inline\">x</span> and <span class=\"katex--inline\">y</span> are both integers between <span class=\"katex--inline\">100</span> and <span class=\"katex--inline\">999</span>, inclusive; <span class=\"katex--inline\">y</span> is the number formed by reversing the digits of <span class=\"katex--inline\">x</span>; and <span class=\"katex--inline\">z=|x-y|</span>,<br/>&#10;How many distinct values of <span class=\"katex--inline\">z</span> are possible?</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": 3, "problem_name": "2002 AIME II Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/02_aime_II_p02", "prev": ""}}