{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n section pre {\n display: block;\n padding: 9.5px;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n word-break: break-all;\n word-wrap: break-word;\n color: #333;\n background: rgba(255, 255, 255, 0.5);\n border: 1px solid #ccc;\n border-radius: 6px;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\(\u0027, right: \u0027\\\\)\u0027, display: false},\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"Problem Statement","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eLet \u003cvar\u003e\\(N\\)\u003c/var\u003e be a positive integer.\u003c/p\u003e\r\n\u003cp\u003eThere is a numerical sequence of length \u003cvar\u003e\\(3N\\)\u003c/var\u003e, \u003cvar\u003e\\(a \u003d (a_1, a_2, ..., a_{3N})\\)\u003c/var\u003e.\r\nSnuke is constructing a new sequence of length \u003cvar\u003e\\(2N\\)\u003c/var\u003e, \u003cvar\u003e\\(a\u0027\\)\u003c/var\u003e, by removing exactly \u003cvar\u003e\\(N\\)\u003c/var\u003e elements from \u003cvar\u003e\\(a\\)\u003c/var\u003e without changing the order of the remaining elements.\r\nHere, the score of \u003cvar\u003e\\(a\u0027\\)\u003c/var\u003e is defined as follows: \u003cvar\u003e\\((\\)\u003c/var\u003ethe sum of the elements in the first half of \u003cvar\u003e\\(a\u0027) - (\\)\u003c/var\u003ethe sum of the elements in the second half of \u003cvar\u003e\\(a\u0027)\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003cp\u003eFind the maximum possible score of \u003cvar\u003e\\(a\u0027\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Constraints","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cul\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 ≤ N ≤ 10^5\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(a_i\\)\u003c/var\u003e is an integer.\u003c/li\u003e\r\n\u003cli\u003e\u003cvar\u003e\\(1 ≤ a_i ≤ 10^9\\)\u003c/var\u003e\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Partial Score","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cul\u003e\r\n\u003cli\u003eIn the test set worth \u003cvar\u003e\\(300\\)\u003c/var\u003e points, \u003cvar\u003e\\(N ≤ 1000\\)\u003c/var\u003e.\u003c/li\u003e\r\n\u003c/ul\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Input","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003eInput is given from Standard Input in the following format:\u003c/p\u003e\r\n\u003cpre\u003e\u003cvar\u003e\\(N\\)\u003c/var\u003e\r\n\u003cvar\u003e\\(a_1\\)\u003c/var\u003e \u003cvar\u003e\\(a_2\\)\u003c/var\u003e \u003cvar\u003e\\(...\\)\u003c/var\u003e \u003cvar\u003e\\(a_{3N}\\)\u003c/var\u003e\r\n\u003c/pre\u003e\r\n\r\n\u003c/section\u003e\r\n"}},{"title":"Output","value":{"format":"HTML","content":"\r\n\u003csection\u003e\r\n\u003cp\u003ePrint the maximum possible score of \u003cvar\u003e\\(a\u0027\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 1","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e2\r\n3 1 4 1 5 9\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003cp\u003eWhen \u003cvar\u003e\\(a_2\\)\u003c/var\u003e and \u003cvar\u003e\\(a_6\\)\u003c/var\u003e are removed, \u003cvar\u003e\\(a\u0027\\)\u003c/var\u003e will be \u003cvar\u003e\\((3, 4, 1, 5)\\)\u003c/var\u003e, which has a score of \u003cvar\u003e\\((3 + 4) - (1 + 5) \u003d 1\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 2","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e1\r\n1 2 3\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e-1\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003cp\u003eFor example, when \u003cvar\u003e\\(a_1\\)\u003c/var\u003e are removed, \u003cvar\u003e\\(a\u0027\\)\u003c/var\u003e will be \u003cvar\u003e\\((2, 3)\\)\u003c/var\u003e, which has a score of \u003cvar\u003e\\(2 - 3 \u003d -1\\)\u003c/var\u003e.\u003c/p\u003e\r\n\u003c/section\u003e\r\n"}},{"title":"Sample 3","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e3\r\n8 2 2 7 4 6 5 3 8\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e5\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003c/section\u003e\r\n\r\n\u003csection\u003e\r\n\r\n\r\n\u003cp\u003eFor example, when \u003cvar\u003e\\(a_2\\)\u003c/var\u003e, \u003cvar\u003e\\(a_3\\)\u003c/var\u003e and \u003cvar\u003e\\(a_9\\)\u003c/var\u003e are removed, \u003cvar\u003e\\(a\u0027\\)\u003c/var\u003e will be \u003cvar\u003e\\((8, 7, 4, 6, 5, 3)\\)\u003c/var\u003e, which has a score of \u003cvar\u003e\\((8 + 7 + 4) - (6 + 5 + 3) \u003d 5\\)\u003c/var\u003e.\u003c/p\u003e\u003c/section\u003e\r\n"}}]}