{"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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eA bracket sequence is called regular if it is possible to obtain correct arithmetic expression by inserting characters \u003cspan class\u003d\"tex-font-style-tt\"\u003e+\u003c/span\u003e and \u003cspan class\u003d\"tex-font-style-tt\"\u003e1\u003c/span\u003e into this sequence. For example, sequences \u003cspan class\u003d\"tex-font-style-tt\"\u003e(())()\u003c/span\u003e, \u003cspan class\u003d\"tex-font-style-tt\"\u003e()\u003c/span\u003e and \u003cspan class\u003d\"tex-font-style-tt\"\u003e(()(()))\u003c/span\u003e are regular, while \u003cspan class\u003d\"tex-font-style-tt\"\u003e)(\u003c/span\u003e, \u003cspan class\u003d\"tex-font-style-tt\"\u003e(()\u003c/span\u003e and \u003cspan class\u003d\"tex-font-style-tt\"\u003e(()))(\u003c/span\u003e are not. Let\u0027s call a regular bracket sequence \"RBS\".\u003c/p\u003e\u003cp\u003eYou are given a sequence $$$s$$$ of $$$n$$$ characters \u003cspan class\u003d\"tex-font-style-tt\"\u003e(\u003c/span\u003e, \u003cspan class\u003d\"tex-font-style-tt\"\u003e)\u003c/span\u003e, and/or \u003cspan class\u003d\"tex-font-style-tt\"\u003e?\u003c/span\u003e. \u003cspan class\u003d\"tex-font-style-bf\"\u003eThere is exactly one character \u003cspan class\u003d\"tex-font-style-tt\"\u003e(\u003c/span\u003e and exactly one character \u003cspan class\u003d\"tex-font-style-tt\"\u003e)\u003c/span\u003e\u003c/span\u003e in this sequence.\u003c/p\u003e\u003cp\u003eYou have to replace every character \u003cspan class\u003d\"tex-font-style-tt\"\u003e?\u003c/span\u003e with either \u003cspan class\u003d\"tex-font-style-tt\"\u003e)\u003c/span\u003e or \u003cspan class\u003d\"tex-font-style-tt\"\u003e(\u003c/span\u003e (different characters \u003cspan class\u003d\"tex-font-style-tt\"\u003e?\u003c/span\u003e can be replaced with different brackets). \u003cspan class\u003d\"tex-font-style-bf\"\u003eYou cannot reorder the characters, remove them, insert other characters, and each \u003cspan class\u003d\"tex-font-style-tt\"\u003e?\u003c/span\u003e must be replaced\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eDetermine if it is possible to obtain an RBS after these replacements.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains one integer $$$t$$$ ($$$1 \\le t \\le 1000$$$) — the number of test cases.\u003c/p\u003e\u003cp\u003eEach test case consists of one line containing $$$s$$$ ($$$2 \\le |s| \\le 100$$$) — a sequence of characters \u003cspan class\u003d\"tex-font-style-tt\"\u003e(\u003c/span\u003e, \u003cspan class\u003d\"tex-font-style-tt\"\u003e)\u003c/span\u003e, and/or \u003cspan class\u003d\"tex-font-style-tt\"\u003e?\u003c/span\u003e. \u003cspan class\u003d\"tex-font-style-bf\"\u003eThere is exactly one character \u003cspan class\u003d\"tex-font-style-tt\"\u003e(\u003c/span\u003e and exactly one character \u003cspan class\u003d\"tex-font-style-tt\"\u003e)\u003c/span\u003e\u003c/span\u003e in this sequence.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each test case, print \u003cspan class\u003d\"tex-font-style-tt\"\u003eYES\u003c/span\u003e if it is possible to obtain a regular bracket sequence, or \u003cspan class\u003d\"tex-font-style-tt\"\u003eNO\u003c/span\u003e otherwise}. \u003c/p\u003e\u003cp\u003eYou may print each letter in any case (for example, \u003cspan class\u003d\"tex-font-style-tt\"\u003eYES\u003c/span\u003e, \u003cspan class\u003d\"tex-font-style-tt\"\u003eYes\u003c/span\u003e, \u003cspan class\u003d\"tex-font-style-tt\"\u003eyes\u003c/span\u003e, \u003cspan class\u003d\"tex-font-style-tt\"\u003eyEs\u003c/span\u003e will all be recognized as positive answer).\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\n()\n(?)\n(??)\n??()\n)?(?\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eYES\nNO\nYES\nYES\nNO\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 sequence is already an RBS.\u003c/p\u003e\u003cp\u003eIn the third test case, you can obtain an RBS as follows: \u003cspan class\u003d\"tex-font-style-tt\"\u003e()()\u003c/span\u003e or \u003cspan class\u003d\"tex-font-style-tt\"\u003e(())\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eIn the fourth test case, you can obtain an RBS as follows: \u003cspan class\u003d\"tex-font-style-tt\"\u003e()()\u003c/span\u003e.\u003c/p\u003e"}}]}