{"trustable":false,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cstyle\u003e\n\u003c!--\n /* Font Definitions */\n @font-face\n\t{font-family:Mangal;\n\tpanose-1:2 4 5 3 5 2 3 3 2 2;}\n@font-face\n\t{font-family:\"Cambria Math\";\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;}\n@font-face\n\t{font-family:Cambria;\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;}\n@font-face\n\t{font-family:Calibri;\n\tpanose-1:2 15 5 2 2 2 4 3 2 4;}\n@font-face\n\t{font-family:Tahoma;\n\tpanose-1:2 11 6 4 3 5 4 4 2 4;}\n@font-face\n\t{font-family:Garamond;\n\tpanose-1:2 2 4 4 3 3 1 1 8 3;}\n@font-face\n\t{font-family:Verdana;\n\tpanose-1:2 11 6 4 3 5 4 4 2 4;}\n@font-face\n\t{font-family:\"Bernard MT Condensed\";\n\tpanose-1:2 5 8 6 6 9 5 2 4 4;}\n@font-face\n\t{font-family:\"Bookman Old Style\";\n\tpanose-1:2 5 6 4 5 5 5 2 2 4;}\n@font-face\n\t{font-family:\"Courier 10 Pitch\";}\n@font-face\n\t{font-family:\"DejaVu Sans\";}\n@font-face\n\t{font-family:\"\\@Courier 10 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Style\",\"serif\";\n\tletter-spacing:.75pt;\n\tfont-weight:bold;}\np.SampleIO, li.SampleIO, div.SampleIO\n\t{mso-style-name:SampleIO;\n\tmargin-top:0in;\n\tmargin-right:0in;\n\tmargin-bottom:0in;\n\tmargin-left:16.4pt;\n\tmargin-bottom:.0001pt;\n\tfont-size:12.0pt;\n\tfont-family:\"Courier 10 Pitch\";}\n.MsoChpDefault\n\t{font-size:10.0pt;}\n /* Page Definitions */\n @page Section1\n\t{size:8.5in 11.0in;\n\tmargin:1.0in 1.0in 1.0in 1.0in;}\ndiv.Section1\n\t{page:Section1;}\n /* List Definitions */\n ol\n\t{margin-bottom:0in;}\nul\n\t{margin-bottom:0in;}\n--\u003e\n\u003c/style\u003e \n \u003cp class\u003d\"MsoNormal\"\u003eAs Harry Potter series is over, Harry has no job. Since he wants to make quick money, (he wants everything quick!) so he decided to rob banks. He wants to make a calculated risk, and grab as much money as possible. But his friends - Hermione and Ron have decided upon a tolerable probability \u003cb\u003eP\u003c/b\u003e of getting caught. They feel that he is safe enough if the banks he robs together give a probability less than \u003cb\u003eP\u003c/b\u003e.\u003c/p\u003e \n "}},{"title":"Input","value":{"format":"HTML","content":" \n \u003cp class\u003d\"MsoNormal\"\u003eInput starts with an integer \u003cb\u003eT (\u003c/b\u003e\u003cb\u003e≤ 100)\u003c/b\u003e, denoting the number of test cases.\u003c/p\u003e \n \u003cp class\u003d\"MsoNormal\"\u003eEach case contains a real number \u003cb\u003eP\u003c/b\u003e, the probability Harry needs to be below, and an integer \u003cb\u003eN (0 \u0026lt; N ≤ 100)\u003c/b\u003e, the number of banks he has plans for. Then follow \u003cb\u003eN\u003c/b\u003e lines, where line \u003cb\u003ej\u003c/b\u003e gives an integer \u003cb\u003eM\u003csub\u003ej\u003c/sub\u003e (0 \u0026lt; M\u003csub\u003ej\u003c/sub\u003e ≤ 100)\u003c/b\u003e and a real number \u003cb\u003eP\u003csub\u003ej\u003c/sub\u003e\u003c/b\u003e . Bank \u003cb\u003ej\u003c/b\u003e contains \u003cb\u003eM\u003csub\u003ej\u003c/sub\u003e\u003c/b\u003e millions, and the probability of getting caught from robbing it is \u003cb\u003eP\u003csub\u003ej\u003c/sub\u003e\u003c/b\u003e. A bank goes bankrupt if it is robbed, and you may assume that all probabilities are independent as the police have very low funds.\u003c/p\u003e \n "}},{"title":"Output","value":{"format":"HTML","content":" \n \u003cp class\u003d\"MsoNormal\"\u003eFor each case, print the case number and the maximum number of millions he can expect to get while the probability of getting caught is less than \u003cb\u003eP\u003c/b\u003e.\u003c/p\u003e \n "}},{"title":"Sample Input","value":{"format":"HTML","content":" \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e3\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e0.04 3\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e1 0.02\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e2 0.03\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e3 0.05\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e0.06 3\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e2 0.03\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e2 0.03\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e3 0.05\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e0.10 3\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e1 0.03\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e2 0.02\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e3 0.05\u003c/span\u003e\u003c/p\u003e "}},{"title":"Sample Output","value":{"format":"HTML","content":" \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003eCase 1: 2\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003eCase 2: 4\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003eCase 3: 6\u003c/span\u003e\u003c/p\u003e "}},{"title":"Note","value":{"format":"HTML","content":" \n \u003cp class\u003d\"MsoNormal\"\u003eFor the first case, if he wants to rob bank 1 and 2, then the probability of getting caught is \u003cb\u003e0.02 + (1 - 0.02) *0 .03 \u003d 0.0494\u003c/b\u003e which is greater than the given probability \u003cb\u003e(0.04)\u003c/b\u003e. That\u0027s why he has only option, just to rob rank 2.\u003c/p\u003e \n "}}]}