{"status": "success", "data": {"description_md": "*This problem is meant to introduce users to the concept of function problems where the function is not given.*\n___\nLet $f:\\mathbb{Z}^+\\rightarrow\\mathbb{Z}^+$ (that notation means that the function accepts and returns positive integers) be a function such that $f(1)=f(0)=1$, and $f(x) = xf(x-1)$. Find $\\frac{f(100)}{f(99)}$.", "description_html": "<p><em>This problem is meant to introduce users to the concept of function problems where the function is not given.</em></p>&#10;<hr/>&#10;<p>Let <span class=\"katex--inline\">f:\\mathbb{Z}^+\\rightarrow\\mathbb{Z}^+</span> (that notation means that the function accepts and returns positive integers) be a function such that <span class=\"katex--inline\">f(1)=f(0)=1</span>, and <span class=\"katex--inline\">f(x) = xf(x-1)</span>. Find <span class=\"katex--inline\">\\frac{f(100)}{f(99)}</span>.</p>&#10;", "hints_md": "Doesn't this look like the factorial function?", "hints_html": "<p>Doesn&#8217;t this look like the factorial function?</p>&#10;", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "Easy Function", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}