{"status": "success", "data": {"description_md": "Consider the region $A$ in the complex plane that consists of all points $z$ such that both $\\frac{z}{40}$ and $\\frac{40}{\\overline{z}}$ have real and imaginary parts between $0$ and $1$, inclusive. What is the integer that is nearest the area of $A$?\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>Consider the region <span class=\"katex--inline\">A</span> in the complex plane that consists of all points <span class=\"katex--inline\">z</span> such that both <span class=\"katex--inline\">\\frac{z}{40}</span> and <span class=\"katex--inline\">\\frac{40}{\\overline{z}}</span> have real and imaginary parts between <span class=\"katex--inline\">0</span> and <span class=\"katex--inline\">1</span>, inclusive. What is the integer that is nearest the area of <span class=\"katex--inline\">A</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": 5, "problem_name": "1992 AIME Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/92_aime_p11", "prev": "/problem/92_aime_p09"}}