{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003e\u003cb\u003eDefinition.\u003c/b\u003e If \u003ci\u003eF\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e, \u003ci\u003eF\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e are two points and \u003ci\u003eR\u003c/i\u003e\r\nis a positive number such that 2\u003ci\u003eR\u003c/i\u003e \u0026gt; |\u003ci\u003eF\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e\u003ci\u003eF\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e|, then an \u003ci\u003eellipse\u003c/i\u003e\r\ncan be defined as a set of all points \u003ci\u003eM\u003c/i\u003e such that |\u003ci\u003eF\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e\u003ci\u003eM\u003c/i\u003e| + |\u003ci\u003eF\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e\u003ci\u003eM\u003c/i\u003e| ≤ 2\u003ci\u003eR\u003c/i\u003e.\u003c/div\u003e\u003c/div\u003e\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003eYour task is to inscribe an ellipse of the biggest possible area into\r\nthe given triangle.\u003c/div\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003eThe input contains three integers \u003ci\u003ea\u003c/i\u003e, \u003ci\u003eb\u003c/i\u003e, \u003ci\u003ec\u003c/i\u003e:\r\nlengths of the triangle’s sides\r\n(1 ≤ \u003ci\u003ea\u003c/i\u003e ≤ \u003ci\u003eb\u003c/i\u003e ≤ \u003ci\u003ec\u003c/i\u003e ≤ 1000; \u003ci\u003ec\u003c/i\u003e \u0026lt; \u003ci\u003ea\u003c/i\u003e + \u003ci\u003eb\u003c/i\u003e).\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 numbers |\u003ci\u003eF\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e\u003ci\u003eF\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e| and \u003ci\u003eR\u003c/i\u003e, which describe the requested ellipse.\r\nThe answer must be given with absolute or relative error not exceeding\r\n10\u003csup\u003e−6\u003c/sup\u003e.\r\nIt is guaranteed that the answer is unique.\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\u003e1 1 1\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0.000000 0.288675\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}