{"status": "success", "data": {"description_md": "Find the sum of all positive integers $n$ such that, given an unlimited supply of stamps of denominations $5$, $n$, and $n + 1$ cents, $91$ cents is the greatest postage that cannot be formed.\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>Find the sum of all positive integers <span class=\"katex--inline\">n</span> such that, given an unlimited supply of stamps of denominations <span class=\"katex--inline\">5</span>, <span class=\"katex--inline\">n</span>, and <span class=\"katex--inline\">n + 1</span> cents, <span class=\"katex--inline\">91</span> cents is the greatest postage that cannot be formed.</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": "2019 AIME II Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/19_aime_II_p15", "prev": "/problem/19_aime_II_p13"}}