{"trustable":false,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003e郑老板非常喜欢数学题,今天他给了你下面一个方程。\u003c/p\u003e\n\u003cp\u003e$$$$$$ f(n) \u003d \\begin{cases} 1, \u0026amp; n \\in \\{1\\} \\bigcup \\operatorname{质数} \\\\ p\\,f(p^{k-2}), \u0026amp; n \u003d p^k ~ (p \\in \\operatorname{质数}; ~ k \u0026gt; 1) \\\\ f(p_1^{e_1})\\prod_{i\u003d2}^r {p_i}^{e_i}, \u0026amp; n \u003d \\prod_{i\u003d1}^r {p_i} ^ {e_i} ~ (p_1 \u0026lt; p_2 \u0026lt; \\cdots \u0026lt; p_r; ~ p_i \\in \\operatorname{质数}; ~ r \\ge 2) \\end{cases} $$$$$$\u003c/p\u003e\n\u003cp\u003e现在郑老板想问你$$$\\sum_{i\u003d1}^n f(i)$$$的结果,你能告诉他吗?\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003e一行一个正整数n $$$n ~ (1 \\le n \\le {10}^{7})$$$.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003e一个正整数,代表结果。\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003cdiv class\u003d\"sample-test\"\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e10\n\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003e20\n\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e50\n\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003e370\n\u003c/pre\u003e\n \u003c/div\u003e\n\u003c/div\u003e"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003e对于第一个样例, $$$f(1) \u003d 1$$$, $$$f(2) \u003d 1$$$, $$$f(3) \u003d 1$$$, $$$f(4) \u003d 2$$$, $$$f(5) \u003d 1$$$, $$$f(6) \u003d 3$$$, $$$f(7) \u003d 1$$$, $$$f(8) \u003d 2$$$, $$$f(9) \u003d 3$$$, $$$f(10) \u003d 5$$$.\u003c/p\u003e\n\u003cp\u003e题目保证答案小于 $$$2^{64}-1$$$.\u003c/p\u003e"}}]}