{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv align\u003d\"left\"\u003eHe wrote n letters \"X\" and \"E\" in a circle. He thought that there were 2n possibilities to do it, because each letter may be either \"X\" or \"E\". But Qc noticed that some different sequences of letters can be transformed one to another with a circular shift (thus representing actually the same circular string). \u003cbr\u003eFor example, strings \"XXE\"-\"XEX\"-\"EXX\" are actually the same. \u003cbr\u003eQc wants to know how many different circular strings of n letters exist. Help him to find that out. \u003cbr\u003e\u003ccenter\u003e\u003cimg src\u003d\"CDN_BASE_URL/d3adc94700f5274ef74a29503a01fa8e?v\u003d1714875087\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e\u003c/center\u003e \u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cbr\u003e\u003cb\u003eInput\u003c/b\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003eThe input file contains a single integer 1 \u0026lt;\u003d n \u0026lt;\u003d 200000. \u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cbr\u003e\u003cb\u003eOutput\u003c/b\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003eOutput a single integer --- the number circular strings of length n. \u003cbr\u003e \u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cbr\u003e\u003cb\u003eSample test(s)\u003c/b\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cbr\u003eInput\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cfont face\u003d\"Courier New\"\u003e\u003c/font\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cpre\u003e\u003c/pre\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003eTest #1 \u003cbr\u003e3 \u003cbr\u003e \u003cbr\u003eTest #2 \u003cbr\u003e4 \u003cbr\u003e \u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cdiv align\u003d\"left\"\u003e\u003cdiv align\u003d\"left\"\u003e\u003cbr\u003eOutput\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cfont face\u003d\"Courier New\"\u003e\u003c/font\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cpre\u003e\u003c/pre\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003eTest #1 \u003cbr\u003e4 \u003cbr\u003e \u003cbr\u003eTest #2 \u003cbr\u003e6 \u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cdiv align\u003d\"left\"\u003e\u003cdiv align\u003d\"left\"\u003e\u003cdiv align\u003d\"right\"\u003e \u003c/div\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003cdiv align\u003d\"right\"\u003e \u003c/div\u003e\u003c/div\u003e\u003cdiv align\u003d\"left\"\u003e\u003chr\u003e\u003c/div\u003e\u003ctable align\u003d\"left\" cellspacing\u003d\"7\"\u003e\u003ctbody\u003e\u003ctr\u003e\u003ctd\u003eAuthor:\u003c/td\u003e\u003ctd\u003eAnton Golubev, Petrazavodsk SU \u003c/td\u003e\u003c/tr\u003e\u003ctr\u003e\u003ctd\u003eResource:\u003c/td\u003e\u003ctd\u003eAnton Golubev (Hedgehog)\u0027s Contest #2 from Annual Summer Russian Teams Meeting in Petrozavodsk State University \u003c/td\u003e\u003c/tr\u003e\u003ctr\u003e\u003ctd\u003eDate:\u003c/td\u003e\u003ctd\u003eAugust 26, 2005 \u003c/td\u003e\u003c/tr\u003e\u003c/tbody\u003e\u003c/table\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003c/div\u003e \u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\r\n\u003c/div\u003e"}}]}