{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003eThe natives of an island in the Pacific between 35 and 36 degrees \r\nof southern latitude have the following custom. The chief of the tribe draws \r\na large circle with radius \u003ci\u003eR\u003c/i\u003e on the sand, and inside it he draws another one \r\nwith radius \u003ci\u003er\u003c/i\u003e. The distance between centers of the circles is equal to \u003ci\u003ed\u003c/i\u003e. \r\nThe chief\u0027s wife (let\u0027s call her victim) inscribes a circle in such a way, \r\nthat it touches the bigger one from within and the smaller one from the \r\noutside. Then all of the tribe members come to the circles in turns and each \r\nof them tries to inscribe a circle in such a way, that it would touch both \r\nof the chief\u0027s circles and the circle, which was drawn the latest. The circle \r\nmust not intersect any other circles, except touching the one, drawn by victim. \r\nIf a native can inscribe his circle in several ways, he asks the victim for \r\nadvice (remember, that as a chief\u0027s wife she has a great authority among \r\nnatives). When no more circles can be inscribed, the distance between the first \r\nand the last inscribed circles is measured. This distance determines, whether \r\nthe victim will be eaten. So, she really needs to know the least possible \r\ndistance between these circles.\r\n\u003c/div\u003e\u003c/div\u003e\u003cimg src\u003d\"CDN_BASE_URL/05f51a3e61eeb3a49fff6ef0b5ecaa25?v\u003d1715887525\" border\u003d\"0\" alt\u003d\"Problem illustration\" align\u003d\"RIGHT\" class\u003d\"problem_raimage\"\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003e3 integers: \u003ci\u003eR\u003c/i\u003e, \u003ci\u003er\u003c/i\u003e and \u003ci\u003ed\u003c/i\u003e. \r\n0\u0026nbsp;\u0026lt;\u0026nbsp;\u003ci\u003er\u003c/i\u003e\u0026nbsp;\u0026lt;\u0026nbsp;\u003ci\u003eR\u003c/i\u003e\u0026nbsp;−\u0026nbsp;\u003ci\u003ed\u003c/i\u003e. \u003ci\u003ed\u003c/i\u003e\u0026nbsp;≥\u0026nbsp;0. \r\nNumbers don\u0027t exceed 100.\r\n\u003c/div\u003e\u003c/div\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003eOutput the required distance with not less than 5 digits after the decimal point.\r\n\u003c/div\u003e\u003c/div\u003e"}},{"title":"Sample","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 1 0\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0.00000\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}