{"status": "success", "data": {"description_md": "An integer is called parity-monotonic if its decimal representation $a_{1}a_{2}a_{3}\\cdots a_{k}$ satisfies $a_{i}<a_{i+1}$ if $a_{i}$ is odd, and $a_{i}>a_{i+1}$ is $a_{i}$ is even. How many four-digit parity-monotonic integers 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>An integer is called parity-monotonic if its decimal representation <span class=\"katex--inline\">a_{1}a_{2}a_{3}\\cdots a_{k}</span> satisfies <span class=\"katex--inline\">a_{i}&lt;a_{i+1}</span> if <span class=\"katex--inline\">a_{i}</span> is odd, and <span class=\"katex--inline\">a_{i}&gt;a_{i+1}</span> is <span class=\"katex--inline\">a_{i}</span> is even. How many four-digit parity-monotonic integers 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": "2007 AIME II Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/07_aime_II_p07", "prev": "/problem/07_aime_II_p05"}}