{"status": "success", "data": {"description_md": "Let $f(x) = |x - p| + |x - 15| + |x - p - 15|$, where $0 < p < 15$. Determine the minimum value taken by $f(x)$ for $x$ in the interval $p \\le x \\le 15$.\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>Let <span class=\"katex--inline\">f(x) = |x - p| + |x - 15| + |x - p - 15|</span>, where <span class=\"katex--inline\">0 &lt; p &lt; 15</span>. Determine the minimum value taken by <span class=\"katex--inline\">f(x)</span> for <span class=\"katex--inline\">x</span> in the interval <span class=\"katex--inline\">p \\le x \\le 15</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": 3, "problem_name": "1983 AIME Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/83_aime_p03", "prev": "/problem/83_aime_p01"}}