{"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\"\u003eAll the shop owners in a town have decided to paint each of their shops red, green, or blue. They\u0027ve also decided that no two neighboring shops will be painted with the same color. The neighbors of shop \u003cb\u003ei\u003c/b\u003e are shops \u003cb\u003ei-1\u003c/b\u003e and \u003cb\u003ei+1\u003c/b\u003e. The first and last shops are not neighbors.\u003c/p\u003e \n \u003cp class\u003d\"MsoNormal\"\u003eYou will be given the information of shops. Each shop will contain three integers \u003cb\u003e\"R G B\"\u003c/b\u003e (quotes for clarity only), where \u003cb\u003eR, G \u003c/b\u003eand\u003cb\u003e B\u003c/b\u003e are the costs of painting the corresponding shop red, green, and blue, respectively. Return the minimal total cost required to perform the painting.\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 begins with a blank line and an integer \u003cb\u003en (1 ≤ n ≤ 20)\u003c/b\u003e denoting the number of shops. Each of the next \u003cb\u003en\u003c/b\u003e lines will contain 3 integers \u003cb\u003e\"R G B\"\u003c/b\u003e. These integers will lie in the range \u003cb\u003e[1, 1000]\u003c/b\u003e.\u003c/p\u003e \n "}},{"title":"Output","value":{"format":"HTML","content":" \n \u003cp class\u003d\"MsoNormal\"\u003eFor each case of input you have to print the case number and the minimal cost.\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;\"\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;\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e4\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e13 23 12\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e77 36 64\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e44 89 76\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e31 78 45\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/p\u003e \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;\"\u003e26 40 83\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e49 60 57\u003c/span\u003e\u003c/p\u003e \u003cp class\u003d\"MsoNoSpacing\"\u003e\u003cspan style\u003d\"font-size:12.0pt;font-family:\u0026quot;Courier New\u0026quot;\"\u003e13 89 99\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: 137\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: 96\u003c/span\u003e\u003c/p\u003e "}}]}