{"status": "success", "data": {"description_md": "Find the least positive integer $n$ such that no matter how $10^{n}$ is expressed as the product of any two positive integers, at least one of these two integers contains the digit $0$.\n<br>Leading zeroes must be inputted, so if your answer is `34`, then input `034`\n\n___\n\nFull 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>Find the least positive integer <span class=\"katex--inline\">n</span> such that no matter how <span class=\"katex--inline\">10^{n}</span> is expressed as the product of any two positive integers, at least one of these two integers contains the digit <span class=\"katex--inline\">0</span>.<br/>&#10;<br/>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code></p>&#10;<hr/>&#10;<p>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": "2000 AIME I Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/00_aime_I_p02", "prev": ""}}