{"trustable":false,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003e A circle is placed perfectly into a square. The term perfectly placed means that each side of the square is touched by the circle, but the circle doesn\u0027t have any overlapping part with the square. See the picture below.\u003c/p\u003e \n\u003cp\u003e \u003cimg height\u003d\"206\" src\u003d\"http://7xjob4.com1.z0.glb.clouddn.com/469188251ec07fd635069cb1860f3ff3\" width\u003d\"211\"\u003e\u003c/p\u003e \n\u003cp\u003e Now you are given the radius of the circle. You have to find the area of the shaded region (blue part). Assume that \u003cb\u003epi \u003d 2 * \u003cspan\u003e\u003cspan\u003e\u003cspan\u003e\u003cspan\u003e\u003cspan\u003eacos\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e (0.0) (\u003cspan\u003e\u003cspan\u003e\u003cspan\u003e\u003cspan\u003e\u003cspan\u003eacos\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e means \u003cspan\u003e\u003cspan\u003e\u003cspan\u003e\u003cspan\u003e\u003cspan\u003ecos\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e inverse)\u003c/b\u003e.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003e Input starts with an integer \u003cb\u003eT (\u003c/b\u003e\u003cb\u003e≤ 1000)\u003c/b\u003e, denoting the number of test cases.\u003c/p\u003e \n\u003cp\u003e Each case contains a floating point number \u003cb\u003er (0 \u0026lt; r ≤ 1000)\u003c/b\u003e denoting the radius of the circle. And you can assume that \u003cb\u003er\u003c/b\u003e contains at most four digits after the decimal point.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003e For each case, print the case number and the shaded area rounded to two places after the decimal point.\u003c/p\u003e"}},{"title":"Sample Input","value":{"format":"HTML","content":"\u003cp\u003e \u003cspan\u003e3\u003c/span\u003e\u003c/p\u003e \n\u003cp\u003e \u003cspan\u003e20\u003c/span\u003e\u003c/p\u003e \n\u003cp\u003e \u003cspan\u003e30.091\u003c/span\u003e\u003c/p\u003e \n\u003cp\u003e \u003cspan\u003e87.0921\u003c/span\u003e\u003c/p\u003e"}},{"title":"Sample Output","value":{"format":"HTML","content":"\u003cp\u003e \u003cspan\u003eCase 1: 343.36\u003c/span\u003e\u003c/p\u003e \n\u003cp\u003e \u003cspan\u003eCase 2: 777.26\u003c/span\u003e\u003c/p\u003e \n\u003cp\u003e \u003cspan\u003eCase 3: 6511.05\u003c/span\u003e\u003c/p\u003e"}},{"title":"Hint","value":{"format":"HTML","content":"\u003cdiv\u003e \n \u003cdiv\u003e \n \u003col\u003e \n \u003cli\u003e \n \u003cdiv\u003e \n \u003cspan\u003e#include\u0026lt;stdio.h\u0026gt;\u003c/span\u003e\n \u003c/div\u003e \u003c/li\u003e \n \u003cli\u003e \n \u003cdiv\u003e \n \u003cspan\u003e#include\u0026lt;math.h\u0026gt;\u003c/span\u003e\n \u003c/div\u003e \u003c/li\u003e \n \u003cli\u003e \n \u003cdiv\u003e \n \u003cspan\u003e#define PI (2*\u003cspan\u003e\u003cspan\u003eacos\u003c/span\u003e\u003c/span\u003e(0.0))\u003c/span\u003e\n \u003c/div\u003e \u003c/li\u003e \n \u003cli\u003e \n \u003cdiv\u003e \n \u003cspan\u003e\u003cspan\u003eint\u003c/span\u003e main(){\u003c/span\u003e\n \u003c/div\u003e \u003c/li\u003e \n \u003cli\u003e \n \u003cdiv\u003e\n \u0026nbsp;\u0026nbsp;\u0026nbsp; /*code*/\n \u003c/div\u003e \u003c/li\u003e \n \u003cli\u003e \n \u003cdiv\u003e \n \u003cspan\u003e}\u003c/span\u003e\n \u003c/div\u003e \u003c/li\u003e \n \u003c/ol\u003e \n \u003c/div\u003e \n\u003c/div\u003e"}}]}