{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cbr\u003eConsider a heavy disc on the plane, centered at (\u003ci\u003ex\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e,\u003ci\u003ey\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e) with radius \u003ci\u003er\u003c/i\u003e, with the origin strictly outside it. The density of the disc is given by formula\u003cbr\u003e\u003cimg src\u003d\"CDN_BASE_URL/52337cc204300b589a3e87bbea6690ea?v\u003d1715982636\" style\u003d\"vertical-align: text-bottom;top: -2.0px;max-width: 100.0%;max-height: 100.0%;\"\u003e\u003cbr\u003eWhat is the mass of the disc?\u003cbr\u003e\u003cdiv align\u003d\"left\" style\u003d\"margin-top: 1.0em;\"\u003e\u003cb\u003eInput\u003c/b\u003e\u003c/div\u003eThe input file contains three integer numbers \u003ci\u003ex\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e, \u003ci\u003ey\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e, \u003ci\u003er\u003c/i\u003e (-100 ≤ \u003ci\u003ex\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e, \u003ci\u003ey\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e ≤ 100, 1 ≤ \u003ci\u003er\u003c/i\u003e ≤ 100, \u003ci\u003ex\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e\u003csup\u003e2\u003c/sup\u003e+\u003ci\u003ey\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e\u003csup\u003e2\u003c/sup\u003e2).\u003cbr\u003e\u003cdiv align\u003d\"left\" style\u003d\"margin-top: 1.0em;\"\u003e\u003cb\u003eOutput\u003c/b\u003e\u003c/div\u003eOutput one real number\u0026nbsp;— the mass of the disc. Your answer will be considered correct if it is within 10\u003csup\u003e-12\u003c/sup\u003e relative error of the exact answer.\u003cbr\u003e"}},{"title":"Sample 1","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 4 2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e40.449586576894895\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}