{"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 have an array \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e[1], \u003ci\u003ea\u003c/i\u003e[2], ..., \u003ci\u003ea\u003c/i\u003e[\u003ci\u003en\u003c/i\u003e]\u003c/span\u003e, containing distinct integers from \u003cspan class\u003d\"tex-span\"\u003e1\u003c/span\u003e to \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e. Your task is to sort this array in increasing order with the following operation (you may need to apply it multiple times):\u003c/p\u003e\u003cul\u003e \u003cli\u003e choose two indexes, \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ej\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003ei\u003c/i\u003e \u0026lt; \u003ci\u003ej\u003c/i\u003e ≤ \u003ci\u003en\u003c/i\u003e\u003c/span\u003e; \u003cspan class\u003d\"tex-span\"\u003e(\u003ci\u003ej\u003c/i\u003e - \u003ci\u003ei\u003c/i\u003e + 1)\u003c/span\u003e is a prime number); \u003c/li\u003e\u003cli\u003e swap the elements on positions \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ej\u003c/i\u003e\u003c/span\u003e; in other words, you are allowed to apply the following sequence of assignments: \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003etmp\u003c/i\u003e \u003d \u003ci\u003ea\u003c/i\u003e[\u003ci\u003ei\u003c/i\u003e], \u003ci\u003ea\u003c/i\u003e[\u003ci\u003ei\u003c/i\u003e] \u003d \u003ci\u003ea\u003c/i\u003e[\u003ci\u003ej\u003c/i\u003e], \u003ci\u003ea\u003c/i\u003e[\u003ci\u003ej\u003c/i\u003e] \u003d \u003ci\u003etmp\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003etmp\u003c/i\u003e\u003c/span\u003e is a temporary variable). \u003c/li\u003e\u003c/ul\u003e\u003cp\u003eYou do not need to minimize the number of used operations. However, you need to make sure that there are at most \u003cspan class\u003d\"tex-span\"\u003e5\u003ci\u003en\u003c/i\u003e\u003c/span\u003e operations.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003en\u003c/i\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e5\u003c/sup\u003e)\u003c/span\u003e. The next line contains \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e distinct integers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e[1], \u003ci\u003ea\u003c/i\u003e[2], ..., \u003ci\u003ea\u003c/i\u003e[\u003ci\u003en\u003c/i\u003e]\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003ea\u003c/i\u003e[\u003ci\u003ei\u003c/i\u003e] ≤ \u003ci\u003en\u003c/i\u003e)\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eIn the first line, print integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(0 ≤ \u003ci\u003ek\u003c/i\u003e ≤ 5\u003ci\u003en\u003c/i\u003e)\u003c/span\u003e — the number of used operations. Next, print the operations. Each operation must be printed as \"\u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ej\u003c/i\u003e\u003c/span\u003e\" (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003ei\u003c/i\u003e \u0026lt; \u003ci\u003ej\u003c/i\u003e ≤ \u003ci\u003en\u003c/i\u003e\u003c/span\u003e; \u003cspan class\u003d\"tex-span\"\u003e(\u003ci\u003ej\u003c/i\u003e - \u003ci\u003ei\u003c/i\u003e + 1)\u003c/span\u003e is a prime).\u003c/p\u003e\u003cp\u003eIf there are multiple answers, you can print 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\n3 2 1\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\n1 3\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\u003e2\n1 2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0\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\u003e4\n4 2 3 1\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e3\n2 4\n1 2\n2 4\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}