{"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\u003eAn \u003cspan class\u003d\"tex-font-style-tt\"\u003eanagram\u003c/span\u003e is a word or phrase formed by rearranging the letters of another word or phrase, using all the original letters exactly once, such as \"\u003cspan class\u003d\"tex-font-style-tt\"\u003epost\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003estop\u003c/span\u003e\", and \"\u003cspan class\u003d\"tex-font-style-tt\"\u003espot\u003c/span\u003e\".\u003c/p\u003e\u003cp\u003eYou are given a string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e consisting of lowercase English letters. Your task is to count how many distinct anagrams of the string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e are palindromes.\u003c/p\u003e\u003cp\u003eA \u003cspan class\u003d\"tex-font-style-tt\"\u003epalindrome\u003c/span\u003e is a word, phrase, number, or other sequence of characters which reads the same backward as forward, such as \"\u003cspan class\u003d\"tex-font-style-tt\"\u003emadam\u003c/span\u003e\" or \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eracecar\u003c/span\u003e\".\u003c/p\u003e\u003cp\u003eFor example, \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eaabb\u003c/span\u003e\" has 6 distinct anagrams, which are: \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eaabb\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eabab\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eabba\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003ebaab\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003ebaba\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003ebbaa\u003c/span\u003e\". Two of the previous anagrams are palindromes, which are: \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eabba\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003ebaab\u003c/span\u003e\".\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains an integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eT\u003c/i\u003e\u003c/span\u003e, where \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eT\u003c/i\u003e\u003c/span\u003e is the number of test cases.\u003c/p\u003e\u003cp\u003eThe first line of each test case contains an integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e \u003cspan class\u003d\"tex-span\"\u003e(1 ≤ \u003ci\u003en\u003c/i\u003e ≤ 20)\u003c/span\u003e, where \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e is the length of the string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eThe second line of each test contains a string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e of length \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e consisting of lowercase English letters.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each test case, print a single line containing how many distinct anagrams of the string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e are palindromes.\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\n4\naabb\n6\nababbc\n6\nabaaba\n12\nbabacbcbcaca\n14\naaaabbcaaaabbc\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\n0\n3\n90\n105\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}