{"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\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027$$$$$$\u0027, right: \u0027$$$$$$\u0027, display: true},\n {left: \u0027$$$\u0027, right: \u0027$$$\u0027, display: false},\n {left: \u0027$$\u0027, right: \u0027$$\u0027, display: true},\n {left: \u0027$\u0027, right: \u0027$\u0027, display: false}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eYou are given an array $$$a$$$ of length $$$n$$$, and an integer $$$x$$$. You can perform the following operation as many times as you would like (possibly zero): replace two adjacent elements of the array by their sum. For example, if the initial array was $$$[3, 6, 9]$$$, in a single operation one can replace the last two elements by their sum, yielding an array $$$[3, 15]$$$, or replace the first two elements to get an array $$$[9, 9]$$$. Note that the size of the array decreases after each operation.\u003c/p\u003e\u003cp\u003eThe \u003cspan class\u003d\"tex-font-style-it\"\u003ebeauty\u003c/span\u003e of an array $$$b\u003d[b_1, \\ldots, b_k]$$$ is defined as $$$\\sum_{i\u003d1}^k \\left\\lceil \\frac{b_i}{x} \\right\\rceil$$$, which means that we divide each element by $$$x$$$, round it up to the nearest integer, and sum up the resulting values. For example, if $$$x \u003d 3$$$, and the array is $$$[4, 11, 6]$$$, the beauty of the array is equal to $$$\\left\\lceil \\frac{4}{3} \\right\\rceil + \\left\\lceil \\frac{11}{3} \\right\\rceil + \\left\\lceil \\frac{6}{3} \\right\\rceil \u003d 2 + 4 + 2 \u003d 8$$$.\u003c/p\u003e\u003cp\u003ePlease determine the minimum and the maximum beauty you can get by performing some operations on the original array.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first input line contains a single integer $$$t$$$\u0026nbsp;— the number of test cases ($$$1 \\le t \\le 1000$$$).\u003c/p\u003e\u003cp\u003eThe first line of each test case contains two integers $$$n$$$ and $$$x$$$ ($$$1 \\leq n \\leq 10^5$$$, $$$1 \\leq x \\leq 10^9$$$).\u003c/p\u003e\u003cp\u003eThe next line contains $$$n$$$ integers $$$a_1, a_2, \\ldots, a_n$$$ ($$$1 \\leq a_i \\leq 10^9$$$), the elements of the array $$$a$$$. \u003c/p\u003e\u003cp\u003eIt is guaranteed that the sum of values of $$$n$$$ over all test cases does not exceed $$$10^5$$$.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each test case output two integers\u0026nbsp;— the minimal and the maximal possible beauty.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e2\n3 3\n3 6 9\n3 3\n6 4 11\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e6 6\n7 8\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eIn the first test case the beauty of the array does not change if we perform any operations.\u003c/p\u003e\u003cp\u003eIn the second example we can leave the array unchanged to attain the maximum beauty, and to get the minimum beauty one can replace two elements $$$4$$$ and $$$11$$$ with their sum, yielding an array $$$[6, 15]$$$, which has its beauty equal to $$$7$$$.\u003c/p\u003e"}}]}