{"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eDreamoon is a big fan of the Codeforces contests.\u003c/p\u003e\u003cp\u003eOne day, he claimed that he will collect all the places from $$$1$$$ to $$$54$$$ after two more rated contests. It\u0027s amazing!\u003c/p\u003e\u003cp\u003eBased on this, you come up with the following problem:\u003c/p\u003e\u003cp\u003eThere is a person who participated in $$$n$$$ Codeforces rounds. His place in the first round is $$$a_1$$$, his place in the second round is $$$a_2$$$, ..., his place in the $$$n$$$-th round is $$$a_n$$$.\u003c/p\u003e\u003cp\u003eYou are given a positive non-zero integer $$$x$$$.\u003c/p\u003e\u003cp\u003ePlease, find the largest $$$v$$$ such that this person can collect all the places from $$$1$$$ to $$$v$$$ after $$$x$$$ more rated contests.\u003c/p\u003e\u003cp\u003eIn other words, you need to find the largest $$$v$$$, such that it is possible, that after $$$x$$$ more rated contests, for each $$$1 \\leq i \\leq v$$$, there will exist a contest where this person took the $$$i$$$-th place.\u003c/p\u003e\u003cp\u003eFor example, if $$$n\u003d6$$$, $$$x\u003d2$$$ and $$$a\u003d[3,1,1,5,7,10]$$$ then answer is $$$v\u003d5$$$, because if on the next two contest he will take places $$$2$$$ and $$$4$$$, then he will collect all places from $$$1$$$ to $$$5$$$, so it is possible to get $$$v\u003d5$$$.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains an integer $$$t$$$ ($$$1 \\leq t \\leq 5$$$) denoting the number of test cases in the input.\u003c/p\u003e\u003cp\u003eEach test case contains two lines. The first line contains two integers $$$n, x$$$ ($$$1 \\leq n, x \\leq 100$$$). The second line contains $$$n$$$ positive non-zero integers $$$a_1, a_2, \\ldots, a_n$$$ ($$$1 \\leq a_i \\leq 100$$$).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each test case print one line containing the largest $$$v$$$, such that it is possible that after $$$x$$$ other contests, for each $$$1 \\leq i \\leq v$$$, there will exist a contest where this person took the $$$i$$$-th place.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e5\n6 2\n3 1 1 5 7 10\n1 100\n100\n11 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1\n1\n4 57\n80 60 40 20\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e5\n101\n2\n2\n60\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eThe first test case is described in the statement.\u003c/p\u003e\u003cp\u003eIn the second test case, the person has one hundred future contests, so he can take place $$$1,2,\\ldots,99$$$ and place $$$101$$$ on them in some order, to collect places $$$1,2,\\ldots,101$$$.\u003c/p\u003e"}}]}