{"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou have a garland consisting of $$$n$$$ lamps. Each lamp is colored red, green or blue. The color of the $$$i$$$-th lamp is $$$s_i$$$ (\u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003eR\u003c/span\u003e\u0027, \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003eG\u003c/span\u003e\u0027 and \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003eB\u003c/span\u003e\u0027 — colors of lamps in the garland).\u003c/p\u003e\u003cp\u003eYou have to recolor some lamps in this garland (recoloring a lamp means changing its initial color to another) in such a way that the obtained garland is \u003cspan class\u003d\"tex-font-style-bf\"\u003enice\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eA garland is called \u003cspan class\u003d\"tex-font-style-bf\"\u003enice\u003c/span\u003e if any two lamps of the same color have distance divisible by three between them. I.e. if the obtained garland is $$$t$$$, then for each $$$i, j$$$ such that $$$t_i \u003d t_j$$$ should be satisfied $$$|i-j|~ mod~ 3 \u003d 0$$$. The value $$$|x|$$$ means absolute value of $$$x$$$, the operation $$$x~ mod~ y$$$ means remainder of $$$x$$$ when divided by $$$y$$$.\u003c/p\u003e\u003cp\u003eFor example, the following garlands are \u003cspan class\u003d\"tex-font-style-bf\"\u003enice\u003c/span\u003e: \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eRGBRGBRG\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eGB\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eR\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eGRBGRBG\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eBRGBRGB\u003c/span\u003e\". The following garlands are not \u003cspan class\u003d\"tex-font-style-bf\"\u003enice\u003c/span\u003e: \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eRR\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eRGBG\u003c/span\u003e\".\u003c/p\u003e\u003cp\u003eAmong all ways to recolor the initial garland to make it \u003cspan class\u003d\"tex-font-style-bf\"\u003enice\u003c/span\u003e you have to choose one with the \u003cspan class\u003d\"tex-font-style-bf\"\u003eminimum\u003c/span\u003e number of recolored lamps. If there are multiple optimal solutions, print \u003cspan class\u003d\"tex-font-style-bf\"\u003eany\u003c/span\u003e of them.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line of the input contains one integer $$$n$$$ ($$$1 \\le n \\le 2 \\cdot 10^5$$$) — the number of lamps.\u003c/p\u003e\u003cp\u003eThe second line of the input contains the string $$$s$$$ consisting of $$$n$$$ characters \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003eR\u003c/span\u003e\u0027, \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003eG\u003c/span\u003e\u0027 and \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003eB\u003c/span\u003e\u0027 — colors of lamps in the garland.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eIn the first line of the output print one integer $$$r$$$ — the \u003cspan class\u003d\"tex-font-style-bf\"\u003eminimum\u003c/span\u003e number of recolors needed to obtain a \u003cspan class\u003d\"tex-font-style-bf\"\u003enice\u003c/span\u003e garland from the given one.\u003c/p\u003e\u003cp\u003eIn the second line of the output print one string $$$t$$$ of length $$$n$$$ — a \u003cspan class\u003d\"tex-font-style-bf\"\u003enice\u003c/span\u003e garland obtained from the initial one with \u003cspan class\u003d\"tex-font-style-bf\"\u003eminimum\u003c/span\u003e number of recolors. If there are multiple optimal solutions, print \u003cspan class\u003d\"tex-font-style-bf\"\u003eany\u003c/span\u003e 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\nBRB\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\nGRB\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\u003e7\nRGBGRBB\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e3\nRGBRGBR\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}