{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n h1 { font-size: 1.2em; }\n\u003c/style\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\n\u003cdiv class\u003d\"md\"\u003e\u003cp\u003eThere is a list of \u003cspan class\u003d\"math inline\"\u003e$ n $\u003c/span\u003e numbers and two players who move alternately. On each move, a player removes either the first or last number from the list, and their score increases by that number. Both players try to maximize their scores.\u003c/p\u003e\n\u003cp\u003eWhat is the maximum possible score for the first player when both players play optimally?\u003c/p\u003e\n\u003ch1 id\u003d\"input\"\u003eInput\u003c/h1\u003e\n\u003cp\u003eThe first input line contains an integer \u003cspan class\u003d\"math inline\"\u003e$ n $\u003c/span\u003e: the size of the list.\u003c/p\u003e\n\u003cp\u003eThe next line has \u003cspan class\u003d\"math inline\"\u003e$ n $\u003c/span\u003e integers \u003cspan class\u003d\"math inline\"\u003e$ x_1,x_2,\\ldots,x_n $\u003c/span\u003e: the contents of the list.\u003c/p\u003e\n\u003ch1 id\u003d\"output\"\u003eOutput\u003c/h1\u003e\n\u003cp\u003ePrint the maximum possible score for the first player.\u003c/p\u003e\n\u003ch1 id\u003d\"constraints\"\u003eConstraints\u003c/h1\u003e\n\u003cul\u003e\n\u003cli\u003e\u003cspan class\u003d\"math inline\"\u003e$ 1 \\le n \\le 5000 $\u003c/span\u003e\u003c/li\u003e\n\u003cli\u003e\u003cspan class\u003d\"math inline\"\u003e$ -10^9 \\le x_i \\le 10^9 $\u003c/span\u003e\u003c/li\u003e\n\u003c/ul\u003e\n\u003ch1 id\u003d\"example\"\u003eExample\u003c/h1\u003e\n\u003ctable class\u003d\"vjudge_sample\"\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\n4 5 1 3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e8\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/div\u003e "}}]}