{"status": "success", "data": {"description_md": "Consider a string of $n$ 7's, $7777\\cdots77$, into which $+$ signs are inserted to produce an arithmetic expression. For example, $7+77+777+7+7=875$ could be obtained from eight 7's in this way. For how many values of $n$ is it possible to insert $+$ signs so that the resulting expression has value 7000?\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 a string of <span class=\"katex--inline\">n</span> 7&#8217;s, <span class=\"katex--inline\">7777\\cdots77</span>, into which <span class=\"katex--inline\">+</span> signs are inserted to produce an arithmetic expression. For example, <span class=\"katex--inline\">7+77+777+7+7=875</span> could be obtained from eight 7&#8217;s in this way. For how many values of <span class=\"katex--inline\">n</span> is it possible to insert <span class=\"katex--inline\">+</span> signs so that the resulting expression has value 7000?</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": "2004 AIME II Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/04_aime_II_p15", "prev": "/problem/04_aime_II_p13"}}