{"trustable":false,"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":"\u003csection\u003e\n \u003cp\u003eYou are given a sequence \u003cvar\u003e\\(A\\)\u003c/var\u003e of \u003cvar\u003e\\(N\\)\u003c/var\u003e integers . You should paint each of these integers with a color such that the following condition is satisfied: \u003c/p\u003e\n \u003cul\u003e\n \u003cli\u003eIf \u003cvar\u003e\\(A_i\\)\u003c/var\u003e and \u003cvar\u003e\\(A_j\\)\u003c/var\u003e \u003cvar\u003e\\((i \u0026lt; j)\\)\u003c/var\u003e are painted with the same color, \u003cvar\u003e\\(A_i \u0026lt; A_j\\)\u003c/var\u003e.\u003c/li\u003e\n \u003c/ul\u003e\n \u003cp\u003eFind the minimum number of colors required to satisfy the condition.\u003c/p\u003e\n\u003c/section\u003e"}},{"title":"Constraints","value":{"format":"HTML","content":"\u003csection\u003e\n \u003cul\u003e\n \u003cli\u003e\u003cvar\u003e\\(1 \\leq N \\leq 10^5\\)\u003c/var\u003e\u003c/li\u003e\n \u003cli\u003e\u003cvar\u003e\\(0 \\leq A_i \\leq 10^9\\)\u003c/var\u003e\u003c/li\u003e\n \u003c/ul\u003e\n\u003c/section\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003csection\u003e\n \u003cp\u003eInput is given from Standard Input in the following format:\u003c/p\u003e\n \u003cpre\u003e\u003cvar\u003e\\(N\\)\u003c/var\u003e\n\u003cvar\u003e\\(A_1\\)\u003c/var\u003e\n\u003cvar\u003e\\(:\\)\u003c/var\u003e\n\u003cvar\u003e\\(A_N\\)\u003c/var\u003e\n\u003c/pre\u003e\n\u003c/section\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003csection\u003e\n \u003cp\u003ePrint the minimum number of colors required to satisfy the condition.\u003c/p\u003e\n\u003c/section\u003e"}},{"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\u003e5\n2\n1\n4\n5\n3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003csection\u003e\n\u003c/section\u003e\u003csection\u003e\n \u003cp\u003eWe can satisfy the condition with two colors by, for example, painting \u003cvar\u003e\\(2\\)\u003c/var\u003e and \u003cvar\u003e\\(3\\)\u003c/var\u003e red and painting \u003cvar\u003e\\(1\\)\u003c/var\u003e, \u003cvar\u003e\\(4\\)\u003c/var\u003e, and \u003cvar\u003e\\(5\\)\u003c/var\u003e blue.\u003c/p\u003e\n\u003c/section\u003e"}},{"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\u003e4\n0\n0\n0\n0\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\u003csection\u003e\n\u003c/section\u003e\u003csection\u003e\n \u003cp\u003eWe have to paint all the integers with distinct colors.\u003c/p\u003e\n\u003c/section\u003e"}}]}