{"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 Pitch\";}\n@font-face\n\t{font-family:\"\\@DejaVu Sans\";}\n /* Style Definitions */\n p.MsoNormal, li.MsoNormal, div.MsoNormal\n\t{margin-top:0in;\n\tmargin-right:0in;\n\tmargin-bottom:10.0pt;\n\tmargin-left:0in;\n\ttext-align:justify;\n\tline-height:115%;\n\tfont-size:12.0pt;\n\tfont-family:\"Garamond\",\"serif\";}\nh1\n\t{mso-style-link:\"Heading 1 Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:justify;\n\tline-height:115%;\n\tpage-break-after:avoid;\n\tfont-size:14.0pt;\n\tfont-family:\"Cambria\",\"serif\";\n\tcolor:green;}\nh2\n\t{mso-style-link:\"Heading 2 Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:justify;\n\tpage-break-after:avoid;\n\tfont-size:16.0pt;\n\tfont-family:\"Arial\",\"sans-serif\";\n\tcolor:black;}\nh3\n\t{mso-style-link:\"Heading 3 Char\";\n\tmargin-top:10.0pt;\n\tmargin-right:0in;\n\tmargin-bottom:0in;\n\tmargin-left:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:justify;\n\tline-height:115%;\n\tpage-break-after:avoid;\n\tfont-size:12.0pt;\n\tfont-family:\"Garamond\",\"serif\";\n\tcolor:#4F81BD;}\np.MsoHeader, li.MsoHeader, div.MsoHeader\n\t{mso-style-link:\"Header Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:justify;\n\tfont-size:12.0pt;\n\tfont-family:\"Garamond\",\"serif\";}\np.MsoFooter, li.MsoFooter, div.MsoFooter\n\t{mso-style-link:\"Footer Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:justify;\n\tfont-size:12.0pt;\n\tfont-family:\"Garamond\",\"serif\";}\np.MsoTitle, li.MsoTitle, div.MsoTitle\n\t{mso-style-link:\"Title Char\";\n\tmargin-top:0in;\n\tmargin-right:0in;\n\tmargin-bottom:12.0pt;\n\tmargin-left:0in;\n\ttext-align:center;\n\tfont-size:36.0pt;\n\tfont-family:\"Bernard MT Condensed\",\"serif\";\n\tcolor:green;\n\tletter-spacing:.25pt;}\np.MsoTitleCxSpFirst, li.MsoTitleCxSpFirst, div.MsoTitleCxSpFirst\n\t{mso-style-link:\"Title Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:center;\n\tfont-size:36.0pt;\n\tfont-family:\"Bernard MT Condensed\",\"serif\";\n\tcolor:green;\n\tletter-spacing:.25pt;}\np.MsoTitleCxSpMiddle, li.MsoTitleCxSpMiddle, div.MsoTitleCxSpMiddle\n\t{mso-style-link:\"Title Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:center;\n\tfont-size:36.0pt;\n\tfont-family:\"Bernard MT Condensed\",\"serif\";\n\tcolor:green;\n\tletter-spacing:.25pt;}\np.MsoTitleCxSpLast, li.MsoTitleCxSpLast, div.MsoTitleCxSpLast\n\t{mso-style-link:\"Title Char\";\n\tmargin-top:0in;\n\tmargin-right:0in;\n\tmargin-bottom:12.0pt;\n\tmargin-left:0in;\n\ttext-align:center;\n\tfont-size:36.0pt;\n\tfont-family:\"Bernard MT Condensed\",\"serif\";\n\tcolor:green;\n\tletter-spacing:.25pt;}\np.MsoSubtitle, li.MsoSubtitle, div.MsoSubtitle\n\t{mso-style-link:\"Subtitle Char\";\n\tmargin-top:6.0pt;\n\tmargin-right:0in;\n\tmargin-bottom:0in;\n\tmargin-left:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:center;\n\tline-height:115%;\n\tfont-size:24.0pt;\n\tfont-family:\"Bookman Old Style\",\"serif\";\n\tletter-spacing:.75pt;\n\tfont-weight:bold;}\np.MsoBodyText3, li.MsoBodyText3, div.MsoBodyText3\n\t{mso-style-link:\"Body Text 3 Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:justify;\n\tfont-size:12.0pt;\n\tfont-family:\"Verdana\",\"sans-serif\";\n\tcolor:black;}\na:link, span.MsoHyperlink\n\t{color:blue;\n\ttext-decoration:underline;}\na:visited, span.MsoHyperlinkFollowed\n\t{color:purple;\n\ttext-decoration:underline;}\npre\n\t{mso-style-link:\"HTML Preformatted Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:justify;\n\tfont-size:10.0pt;\n\tfont-family:\"Courier New\";}\np.MsoAcetate, li.MsoAcetate, div.MsoAcetate\n\t{mso-style-link:\"Balloon Text Char\";\n\tmargin:0in;\n\tmargin-bottom:.0001pt;\n\ttext-align:justify;\n\tfont-size:8.0pt;\n\tfont-family:\"Tahoma\",\"sans-serif\";}\np.MsoNoSpacing, li.MsoNoSpacing, div.MsoNoSpacing\n\t{margin:0in;\n\tmargin-bottom:.0001pt;\n\tfont-size:11.0pt;\n\tfont-family:\"Calibri\",\"sans-serif\";}\np.MsoListParagraph, li.MsoListParagraph, div.MsoListParagraph\n\t{margin-top:0in;\n\tmargin-right:0in;\n\tmargin-bottom:10.0pt;\n\tmargin-left:.5in;\n\tline-height:115%;\n\tfont-size:11.0pt;\n\tfont-family:\"Calibri\",\"sans-serif\";}\np.MsoListParagraphCxSpFirst, li.MsoListParagraphCxSpFirst, div.MsoListParagraphCxSpFirst\n\t{margin-top:0in;\n\tmargin-right:0in;\n\tmargin-bottom:0in;\n\tmargin-left:.5in;\n\tmargin-bottom:.0001pt;\n\tline-height:115%;\n\tfont-size:11.0pt;\n\tfont-family:\"Calibri\",\"sans-serif\";}\np.MsoListParagraphCxSpMiddle, li.MsoListParagraphCxSpMiddle, div.MsoListParagraphCxSpMiddle\n\t{margin-top:0in;\n\tmargin-right:0in;\n\tmargin-bottom:0in;\n\tmargin-left:.5in;\n\tmargin-bottom:.0001pt;\n\tline-height:115%;\n\tfont-size:11.0pt;\n\tfont-family:\"Calibri\",\"sans-serif\";}\np.MsoListParagraphCxSpLast, li.MsoListParagraphCxSpLast, div.MsoListParagraphCxSpLast\n\t{margin-top:0in;\n\tmargin-right:0in;\n\tmargin-bottom:10.0pt;\n\tmargin-left:.5in;\n\tline-height:115%;\n\tfont-size:11.0pt;\n\tfont-family:\"Calibri\",\"sans-serif\";}\nspan.MsoSubtleEmphasis\n\t{color:gray;\n\tfont-style:italic;}\nspan.HeaderChar\n\t{mso-style-name:\"Header Char\";\n\tmso-style-link:Header;}\nspan.FooterChar\n\t{mso-style-name:\"Footer Char\";\n\tmso-style-link:Footer;}\nspan.Heading2Char\n\t{mso-style-name:\"Heading 2 Char\";\n\tmso-style-link:\"Heading 2\";\n\tfont-family:\"Arial\",\"sans-serif\";\n\tcolor:black;\n\tfont-weight:bold;}\nspan.BodyText3Char\n\t{mso-style-name:\"Body Text 3 Char\";\n\tmso-style-link:\"Body Text 3\";\n\tfont-family:\"Verdana\",\"sans-serif\";\n\tcolor:black;}\nspan.BalloonTextChar\n\t{mso-style-name:\"Balloon Text Char\";\n\tmso-style-link:\"Balloon Text\";\n\tfont-family:\"Tahoma\",\"sans-serif\";}\nspan.HTMLPreformattedChar\n\t{mso-style-name:\"HTML Preformatted Char\";\n\tmso-style-link:\"HTML Preformatted\";\n\tfont-family:\"Courier New\";}\nspan.TitleChar\n\t{mso-style-name:\"Title Char\";\n\tmso-style-link:Title;\n\tfont-family:\"Bernard MT Condensed\",\"serif\";\n\tcolor:green;\n\tletter-spacing:.25pt;}\nspan.Heading3Char\n\t{mso-style-name:\"Heading 3 Char\";\n\tmso-style-link:\"Heading 3\";\n\tfont-family:\"Cambria\",\"serif\";\n\tcolor:#4F81BD;\n\tfont-weight:bold;}\nspan.Heading1Char\n\t{mso-style-name:\"Heading 1 Char\";\n\tmso-style-link:\"Heading 1\";\n\tfont-family:\"Cambria\",\"serif\";\n\tcolor:green;\n\tfont-weight:bold;}\nspan.SubtitleChar\n\t{mso-style-name:\"Subtitle Char\";\n\tmso-style-link:Subtitle;\n\tfont-family:\"Bookman Old 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\"\u003eRimi learned a new thing about integers, which is - any positive integer greater than \u003cb\u003e1\u003c/b\u003e can be divided by its divisors. So, he is now playing with this property. He selects a number \u003cb\u003eN\u003c/b\u003e. And he calls this \u003cb\u003eD\u003c/b\u003e.\u003c/p\u003e \n \u003cp class\u003d\"MsoNormal\"\u003eIn each turn he randomly chooses a divisor of \u003cb\u003eD\u003c/b\u003e \u003cb\u003e(1 to D)\u003c/b\u003e. Then he divides \u003cb\u003eD\u003c/b\u003e by the number to obtain new \u003cb\u003eD\u003c/b\u003e. He repeats this procedure until \u003cb\u003eD\u003c/b\u003e becomes \u003cb\u003e1\u003c/b\u003e. What is the expected number of moves required for \u003cb\u003eN\u003c/b\u003e to become \u003cb\u003e1\u003c/b\u003e.\u003c/p\u003e \n 给定一个整数n,每次操作可以对当前数进行除以它的某个因子。除以哪个因子是随机的,求把n变成1的期望步数。"}},{"title":"Input","value":{"format":"HTML","content":" \n \u003cp class\u003d\"MsoNormal\"\u003eInput starts with an integer \u003cb\u003eT (\u003c/b\u003e\u003cb\u003e≤ 10000)\u003c/b\u003e, denoting the number of test cases.\u003c/p\u003e \n \u003cp class\u003d\"MsoNormal\"\u003eEach case begins with an integer \u003cb\u003eN (1 ≤ N ≤ 10\u003csup\u003e5\u003c/sup\u003e)\u003c/b\u003e.\u003c/p\u003e \n "}},{"title":"Output","value":{"format":"HTML","content":" \n \u003cp class\u003d\"MsoNormal\"\u003e\u003cspan style\u003d\"line-height:115%;font-family:\u0026quot;Times New Roman\u0026quot;,\u0026quot;serif\u0026quot;;\ncolor:black\"\u003eFor each case of input you have to print the case number and the expected value. Errors less than \u003cb\u003e10\u003csup\u003e-6\u003c/sup\u003e\u003c/b\u003e will be ignored.\u003c/span\u003e\u003c/p\u003e \n "}},{"title":"Sample Input","value":{"format":"HTML","content":" \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e3\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e1\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e2\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e50\u003c/span\u003e\u003c/p\u003e "}},{"title":"Sample Output","value":{"format":"HTML","content":" \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003eCase 1: 0\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003eCase 2: 2.00\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003eCase 3: 3.0333333333\u003c/span\u003e\u003c/p\u003e "}}]}