{"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou are given integer $$$n$$$. You have to arrange numbers from $$$1$$$ to $$$2n$$$, using each of them exactly once, on the circle, so that the following condition would be satisfied:\u003c/p\u003e\u003cp\u003eFor every $$$n$$$ consecutive numbers on the circle write their sum on the blackboard. Then any two of written on the blackboard $$$2n$$$ numbers differ not more than by $$$1$$$.\u003c/p\u003e\u003cp\u003eFor example, choose $$$n \u003d 3$$$. On the left you can see an example of a valid arrangement: $$$1 + 4 + 5 \u003d 10$$$, $$$4 + 5 + 2 \u003d 11$$$, $$$5 + 2 + 3 \u003d 10$$$, $$$2 + 3 + 6 \u003d 11$$$, $$$3 + 6 + 1 \u003d 10$$$, $$$6 + 1 + 4 \u003d 11$$$, any two numbers differ by at most $$$1$$$. On the right you can see an invalid arrangement: for example, $$$5 + 1 + 6 \u003d 12$$$, and $$$3 + 2 + 4 \u003d 9$$$, $$$9$$$ and $$$12$$$ differ more than by $$$1$$$.\u003c/p\u003e\u003ccenter\u003e \u003cimg class\u003d\"tex-graphics\" src\u003d\"CDN_BASE_URL/7ab90eb708c415ecdf991379f6012673?v\u003d1716083788\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e \u003c/center\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first and the only line contain one integer $$$n$$$ ($$$1 \\le n \\le 10^5$$$).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eIf there is no solution, output \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eNO\u003c/span\u003e\" in the first line. \u003c/p\u003e\u003cp\u003eIf there is a solution, output \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eYES\u003c/span\u003e\" in the first line. In the second line output $$$2n$$$ numbers\u0026nbsp;— numbers from $$$1$$$ to $$$2n$$$ in the order they will stay in the circle. Each number should appear only once. If there are several solutions, you can output any of them.\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\u003e3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eYES\n1 4 5 2 3 6 \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\u003e4\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eNO\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\u003eExample from the statement is shown for the first example. \u003c/p\u003e\u003cp\u003eIt can be proved that there is no solution in the second example.\u003c/p\u003e"}}]}