{"trustable":true,"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou are given a positive integer $$$n$$$.\u003c/p\u003e\u003cp\u003eFind a sequence of fractions $$$\\frac{a_i}{b_i}$$$, $$$i \u003d 1 \\ldots k$$$ (where $$$a_i$$$ and $$$b_i$$$ are positive integers) for some $$$k$$$ such that:\u003c/p\u003e\u003cp\u003e$$$$$$ \\begin{cases} \\text{$b_i$ divides $n$, $1 \u0026lt; b_i \u0026lt; n$ for $i \u003d 1 \\ldots k$} \\\\ \\text{$1 \\le a_i \u0026lt; b_i$ for $i \u003d 1 \\ldots k$} \\\\ \\text{$\\sum\\limits_{i\u003d1}^k \\frac{a_i}{b_i} \u003d 1 - \\frac{1}{n}$} \\end{cases} $$$$$$\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe input consists of a single integer $$$n$$$ ($$$2 \\le n \\le 10^9$$$).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eIn the first line print \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eYES\u003c/span\u003e\" if there exists such a sequence of fractions or \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eNO\u003c/span\u003e\" otherwise.\u003c/p\u003e\u003cp\u003eIf there exists such a sequence, next lines should contain a description of the sequence in the following format.\u003c/p\u003e\u003cp\u003eThe second line should contain integer $$$k$$$ ($$$1 \\le k \\le 100\\,000$$$)\u0026nbsp;— the number of elements in the sequence. It is guaranteed that if such a sequence exists, then there exists a sequence of length at most $$$100\\,000$$$.\u003c/p\u003e\u003cp\u003eNext $$$k$$$ lines should contain fractions of the sequence with two integers $$$a_i$$$ and $$$b_i$$$ on each line.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eNO\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e6\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eYES\n2\n1 2\n1 3\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eIn the second example there is a sequence $$$\\frac{1}{2}, \\frac{1}{3}$$$ such that $$$\\frac{1}{2} + \\frac{1}{3} \u003d 1 - \\frac{1}{6}$$$.\u003c/p\u003e"}}]}