{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003eYour task is to evaluate the following definite integral:\r\n\u003c/div\u003e\u003c/div\u003e\u003cdiv class\u003d\"problem_centered_picture\"\u003e\u003cimg src\u003d\"CDN_BASE_URL/0ddb9e2644a63dbaa6b7a4174703f847?v\u003d1715273243\" border\u003d\"0\" alt\u003d\"Problem illustration\"\u003e\u003c/div\u003e\u003cdiv class\u003d\"problem_par\"\u003e\u003cdiv class\u003d\"problem_par_normal\"\u003ewhere \u003ci\u003eP\u003c/i\u003e(\u003ci\u003ex\u003c/i\u003e) \u003d \u003ci\u003ea\u003c/i\u003e\u003csub\u003e4\u003c/sub\u003e · \u003ci\u003ex\u003c/i\u003e\u003csup\u003e4\u003c/sup\u003e + \u003ci\u003ea\u003c/i\u003e\u003csub\u003e3\u003c/sub\u003e · \u003ci\u003ex\u003c/i\u003e\u003csup\u003e3\u003c/sup\u003e + \u003ci\u003ea\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e · \u003ci\u003ex\u003c/i\u003e\u003csup\u003e2\u003c/sup\u003e + \u003ci\u003ea\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e · \u003ci\u003ex\u003c/i\u003e + \u003ci\u003ea\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e. \u003ci\u003eP\u003c/i\u003e(\u003ci\u003ex\u003c/i\u003e) has no real roots and GCD(\u003ci\u003eP\u003c/i\u003e(\u003ci\u003ex\u003c/i\u003e), \u003ci\u003eP\u003c/i\u003e\u0027(\u003ci\u003ex\u003c/i\u003e)) \u003d \u003ci\u003econst\u003c/i\u003e.\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 five integers: \u003ci\u003ea\u003c/i\u003e\u003csub\u003e0\u003c/sub\u003e, \u003ci\u003ea\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e, \u003ci\u003ea\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e, \u003ci\u003ea\u003c/i\u003e\u003csub\u003e3\u003c/sub\u003e and \u003ci\u003ea\u003c/i\u003e\u003csub\u003e4\u003c/sub\u003e separated by whitespace. Each of these numbers does not exceed 10\u003csup\u003e6\u003c/sup\u003e by absolute value, \u003ci\u003ea\u003c/i\u003e\u003csub\u003e4\u003c/sub\u003e ≠ 0.\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 value of the integral. Assume that the exact value is \u003ci\u003eA\u003c/i\u003e and your answer is \u003ci\u003eB\u003c/i\u003e. Your answer will be considered correct if and only if at least one of the following statements is true:\r\n\u003cul\u003e\r\n\u003cli\u003e \u003ci\u003eA\u003c/i\u003e − 10\u003csup\u003e−9\u003c/sup\u003e ≤ \u003ci\u003eB\u003c/i\u003e ≤ \u003ci\u003eA\u003c/i\u003e + 10\u003csup\u003e−9\u003c/sup\u003e\u003c/li\u003e\r\n\u003cli\u003e \u003ci\u003eA\u003c/i\u003e · (1 − 10\u003csup\u003e−9\u003c/sup\u003e) ≤ \u003ci\u003eB\u003c/i\u003e ≤ \u003ci\u003eA\u003c/i\u003e · (1 + 10\u003csup\u003e−9\u003c/sup\u003e)\u003c/li\u003e\r\n\u003c/ul\u003e\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\u003e16 0 0 0 1\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0.2776801836\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}