{"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:12.0pt;\n\tfont-family:\"Garamond\",\"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\"\u003e我是一只乌鸦,我原本待在Taso的农田里,可是他在那雇了几个人一直在农田里看着,没有办法,我只好找其他的栖息地了。我现在正在火车线上飞行,刚刚我超过了一辆与我同向的火车,前面还有一辆火车往我的方向驶来。我以为这辆火车是在另一个车道,但是接近后,我突然发现两列火车在同一条线上!Oh,My God!\u003c/p\u003e \n \u003cp class\u003d\"MsoNormal\"\u003e我必须阻止这种事情发生,我决定先飞向前面的火车,在接触火车后立刻调转方向,飞向另一辆火车,一直如此。\u003c/p\u003e \n \u003cp class\u003d\"MsoNormal\"\u003e万幸,在两辆火车相距d时,司机同时发现了我并开始猛踩刹车。而我依旧在飞行,直到最最最最后一刻,两辆火车相距几乎为0时,我施展了托马斯大回旋等等一系列的骚操作,终于飞到了火车的上方。看到车上的乘客都平安无事,我很欣慰。\u003c/p\u003e \n \u003cp class\u003d\"MsoNormal\"\u003e假设将我前方的列车成为左列车,另一辆称为右列车。已知左列车初始速度为\u003cb\u003ev\u003csub\u003e1\u003c/sub\u003e\u003c/b\u003e \u003cb\u003em/s\u003c/b\u003e (meter per second) ,右列车的初始速度为\u003cb\u003ev\u003csub\u003e2\u003c/sub\u003e\u003c/b\u003e \u003cb\u003em/s\u003c/b\u003e,他们在\u003cb\u003ed\u003c/b\u003e 米时发现了我. 左列车的减速度为\u003cb\u003ea\u003csub\u003e1\u003c/sub\u003e\u003c/b\u003e \u003cb\u003em/s\u003csup\u003e2\u003c/sup\u003e\u003c/b\u003e ,右列车的减速度为\u003cb\u003ea\u003csub\u003e2\u003c/sub\u003e\u003c/b\u003e \u003cb\u003em/s\u003csup\u003e2\u003c/sup\u003e\u003c/b\u003e. 两辆火车避免了碰撞,他们在相距\u003cb\u003e0\u003c/b\u003e米时都停了下来. 我飞行的速度一直为\u003cb\u003ev\u003csub\u003e3\u003c/sub\u003e m/s\u003c/b\u003e(我可以瞬间转向并保持原速度,就是这么强). 当火车在\u003cb\u003ed\u003c/b\u003e 米时,我正在两辆火车中间的某个位置。\u003c/p\u003e \n\u003cp\u003e终于结束了,我飞了那么久,明天蚂蚁森林的能量肯定能收好多吧,我想知道当两辆火车相距多少米发现我的,并且从此时到他们踩刹车到相距为0时,我一共飞了多少米?我是一只乌鸦,我不会数学,而且我现在很累,只有请求你的帮助了。\u003c/p\u003e\n "}},{"title":"Input","value":{"format":"HTML","content":" \n \u003cp class\u003d\"MsoNormal\"\u003e输入以整数\u003cb\u003eT (\u003c/b\u003e\u003cb\u003e≤ 100)\u003c/b\u003e,表示测试用例的数量。\u003c/p\u003e \n \u003cp class\u003d\"MsoNormal\"\u003e每个案例以包含五个正实数的行开始: \u003cb\u003ev\u003csub\u003e1\u003c/sub\u003e v\u003csub\u003e2\u003c/sub\u003e v\u003csub\u003e3\u003c/sub\u003e a\u003csub\u003e1\u003c/sub\u003e a\u003csub\u003e2\u003c/sub\u003e (v\u003csub\u003e1\u003c/sub\u003e \u0026lt; v\u003csub\u003e3\u003c/sub\u003e, v\u003csub\u003e2\u003c/sub\u003e \u0026lt; v\u003csub\u003e3\u003c/sub\u003e)\u003c/b\u003e.。没有实数将大于1000。并且小数点后的数字不得超过三位数。\u003c/p\u003e \n "}},{"title":"Output","value":{"format":"HTML","content":" \n \u003cp class\u003d\"MsoNormal\"\u003e对于每种情况,输出一行\"Case z: d y\"的样式,其中z为样例编号,d为上文所描述的含义,y为我飞行的距离,结果精确的小数点后六位。具体格式请参照样例。"}},{"title":"Sample Input","value":{"format":"HTML","content":" \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e2\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e0.5 1.0 2 0.25 0.5\u003c/span\u003e\u003cbr\u003e\n\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003e4.5 3 5.5 3.0 2.0\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: 1.500000 4.000000\u003c/span\u003e\u003cbr\u003e\n\u003cspan style\u003d\"font-family:\u0026quot;Courier New\u0026quot;\"\u003eCase 2: 5.625000 8.250000\u003c/span\u003e\u003c/p\u003e "}},{"title":"Hint","value":{"format":"HTML","content":"你可能需要以下公式:\n路程 \u003d 初始速度*时间 + 加速度 * 时间 ^2 * 0.5\n"}}]}