{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cimg src\u003d\"CDN_BASE_URL/4a0a62f97479e0ab131e7ab3fd65d3e9?v\u003d1725573344\" border\u003d\"0\" alt\u003d\"Problem illustration\" align\u003d\"RIGHT\" class\u003d\"problem_raimage\"\u003e\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003eUnlike most students of the Mathematical Department, Sonya is fond of not \r\nonly programming but also sports. One fine day she went to play football \r\nwith her friends. Unfortunately, there was no football field anywhere \r\naround. There only was a lonely birch tree in a corner of the yard. Sonya \r\nsearched the closet at her home, found two sticks, and decided to \r\nconstruct a football goal using the sticks and the tree. Of course, the \r\nbirch would be one of the side posts of the goal. It only remained to make \r\nthe other post and the crossbar. \u003c/div\u003e\u003c/div\u003e\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003eSonya wanted to score as many goals as possible, so she decided to \r\nconstruct a goal of maximum area. She knew that the standard football goal \r\nwas rectangular, but, being creative, she assumed that her goal could have \r\nthe form of an arbitrary quadrangle. \u003c/div\u003e\u003c/div\u003e\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003eYou can assume that the birch tree is a segment of a straight line \r\northogonal to the ground. \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 only line contains integers \u003ci\u003ea\u003c/i\u003e and \u003ci\u003eb\u003c/i\u003e, which are the lengths of the \r\nsticks (1 ≤ \u003ci\u003ea\u003c/i\u003e, \u003ci\u003eb\u003c/i\u003e ≤ 10\u0026nbsp;000). It is known that the total length of \r\nthe sticks is less than the height of the birch tree. \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 maximum area of the goal that can be constructed with the use \r\nof the sticks and the birch tree. The answer must be accurate to at least \r\nsix fractional digits. \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\u003e2 2\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4.828427125\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}