{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003e\u003cspan class\u003d\"tex-font-style-it\"\u003eAuthor note: I think some of you might remember the problem \"Two Melodies\" from Eductational Codeforces Round 22. Now it\u0027s time to make it a bit more difficult!\u003c/span\u003e\u003c/p\u003e\u003cp\u003eAlice is a composer, and recently she had recorded two tracks that became very popular. Now she has got a lot of fans who are waiting for new tracks. \u003c/p\u003e\u003cp\u003eThis time Alice wants to form four melodies for her tracks.\u003c/p\u003e\u003cp\u003eAlice has a sheet with \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e notes written on it. She wants to take four such non-empty non-intersecting subsequences that all of them form a \u003cspan class\u003d\"tex-font-style-it\"\u003emelody\u003c/span\u003e and sum of their lengths is maximal.\u003c/p\u003e\u003cp\u003e\u003cspan class\u003d\"tex-font-style-it\"\u003eSubsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements.\u003c/span\u003e\u003c/p\u003e\u003cp\u003eSubsequence forms a melody when each two adjacent notes either differ by \u003cspan class\u003d\"tex-font-style-tt\"\u003e1\u003c/span\u003e or are congruent modulo \u003cspan class\u003d\"tex-font-style-tt\"\u003e7\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eYou should write a program which will calculate maximum sum of lengths of such four non-empty non-intersecting subsequences that all of them form a melody.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains one integer number \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e4 ≤ \u003ci\u003en\u003c/i\u003e ≤ 3000\u003c/span\u003e).\u003c/p\u003e\u003cp\u003eThe second line contains \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e integer numbers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e1\u003c/sub\u003e, \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e2\u003c/sub\u003e, ..., \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e5\u003c/sup\u003e\u003c/span\u003e) — notes written on a sheet.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint maximum sum of lengths of such four non-empty non-intersecting subsequences that all of them form a melody.\u003c/p\u003e"}},{"title":"Examples","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\u003e5\n1 3 5 7 9\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","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\u003e5\n1 3 5 7 2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e5\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eIn the first example it is possible to compose \u003cspan class\u003d\"tex-span\"\u003e4\u003c/span\u003e melodies by choosing any \u003cspan class\u003d\"tex-span\"\u003e4\u003c/span\u003e notes (and each melody will consist of only one note).\u003c/p\u003e\u003cp\u003eIn the second example it is possible to compose one melody with \u003cspan class\u003d\"tex-span\"\u003e2\u003c/span\u003e notes — \u003cspan class\u003d\"tex-span\"\u003e{1, 2}\u003c/span\u003e. Remaining notes are used in other three melodies (one note per each melody).\u003c/p\u003e"}}]}