{"problem":{"name":"Counterclockwise Rotation","description":{"content":"In an $xy$\\-coordinate plane whose $x$\\-axis is oriented to the right and whose $y$\\-axis is oriented upwards, rotate a point $(a, b)$ around the origin $d$ degrees counterclockwise and find the new c","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc259_b"},"statements":[{"statement_type":"Markdown","content":"In an $xy$\\-coordinate plane whose $x$\\-axis is oriented to the right and whose $y$\\-axis is oriented upwards, rotate a point $(a, b)$ around the origin $d$ degrees counterclockwise and find the new coordinates of the point.\n\n## Constraints\n\n*   $-1000 \\leq a,b \\leq 1000$\n*   $1 \\leq d \\leq 360$\n*   All values in input are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$a$ $b$ $d$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc259_b","tags":[],"sample_group":[["2 2 180","\\-2 -2\n\nWhen $(2, 2)$ is rotated around the origin $180$ degrees counterclockwise, it becomes the symmetric point of $(2, 2)$ with respect to the origin, which is $(-2, -2)$."],["5 0 120","\\-2.49999999999999911182 4.33012701892219364908\n\nWhen $(5, 0)$ is rotated around the origin $120$ degrees counterclockwise, it becomes $(-\\frac {5}{2} , \\frac {5\\sqrt{3}}{2})$.  \nThis sample output does not precisely match these values, but the errors are small enough to be considered correct."],["0 0 11","0.00000000000000000000 0.00000000000000000000\n\nSince $(a, b)$ is the origin (the center of rotation), a rotation does not change its coordinates."],["15 5 360","15.00000000000000177636 4.99999999999999555911\n\nA $360$\\-degree rotation does not change the coordinates of a point."],["\\-505 191 278","118.85878514480690171240 526.66743699786547949770"]],"created_at":"2026-03-03 11:01:14"}}