{"status": "success", "data": {"description_md": "Let $T = \\{9^k : k \\ \\text{is an integer}, 0 \\le k \\le 4000\\}$. Given that $9^{4000}$ has 3817 digits and that its first (leftmost) digit is 9, how many elements of $T$ have 9 as their leftmost digit?\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\">T = \\{9^k : k \\ \\text{is an integer}, 0 \\le k \\le 4000\\}</span>. Given that <span class=\"katex--inline\">9^{4000}</span> has 3817 digits and that its first (leftmost) digit is 9, how many elements of <span class=\"katex--inline\">T</span> have 9 as their leftmost digit?</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": 6, "problem_name": "1990 AIME Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/90_aime_p14", "prev": "/problem/90_aime_p12"}}