{"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou are given an array $$$a$$$ consisting of $$$n$$$ integers. Beauty of array is the maximum sum of some \u003cspan class\u003d\"tex-font-style-bf\"\u003econsecutive subarray\u003c/span\u003e of this array (this subarray may be empty). For example, the beauty of the array \u003cspan class\u003d\"tex-font-style-tt\"\u003e[10, -5, 10, -4, 1]\u003c/span\u003e is \u003cspan class\u003d\"tex-font-style-tt\"\u003e15\u003c/span\u003e, and the beauty of the array \u003cspan class\u003d\"tex-font-style-tt\"\u003e[-3, -5, -1]\u003c/span\u003e is \u003cspan class\u003d\"tex-font-style-tt\"\u003e0\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eYou may choose \u003cspan class\u003d\"tex-font-style-bf\"\u003eat most one consecutive subarray\u003c/span\u003e of $$$a$$$ and multiply all values contained in this subarray by $$$x$$$. You want to maximize the beauty of array after applying at most one such operation.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains two integers $$$n$$$ and $$$x$$$ ($$$1 \\le n \\le 3 \\cdot 10^5, -100 \\le x \\le 100$$$) — the length of array $$$a$$$ and the integer $$$x$$$ respectively.\u003c/p\u003e\u003cp\u003eThe second line contains $$$n$$$ integers $$$a_1, a_2, \\dots, a_n$$$ ($$$-10^9 \\le a_i \\le 10^9$$$) — the array $$$a$$$.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint one integer — the maximum possible beauty of array $$$a$$$ after multiplying all values belonging to some consecutive subarray $$$x$$$.\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 -2\n-3 8 -2 1 -6\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e22\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\u003e12 -3\n1 3 3 7 1 3 3 7 1 3 3 7\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e42\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 10\n-1 -2 -3 -4 -5\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0\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 test case we need to multiply the subarray \u003cspan class\u003d\"tex-font-style-tt\"\u003e[-2, 1, -6]\u003c/span\u003e, and the array becomes \u003cspan class\u003d\"tex-font-style-tt\"\u003e[-3, 8, 4, -2, 12]\u003c/span\u003e with beauty \u003cspan class\u003d\"tex-font-style-tt\"\u003e22\u003c/span\u003e (\u003cspan class\u003d\"tex-font-style-tt\"\u003e[-3, \u003cspan class\u003d\"tex-font-style-bf\"\u003e8, 4, -2, 12\u003c/span\u003e]\u003c/span\u003e).\u003c/p\u003e\u003cp\u003eIn the second test case we don\u0027t need to multiply any subarray at all.\u003c/p\u003e\u003cp\u003eIn the third test case no matter which subarray we multiply, the beauty of array will be equal to \u003cspan class\u003d\"tex-font-style-tt\"\u003e0\u003c/span\u003e.\u003c/p\u003e"}}]}