{"trustable":true,"prependHtml":"\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 async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"panel_content\"\u003eAlice like strings, especially long strings. For each string, she has a special evaluation system to judge how elegant the string is. She defines that a string $S[1..3n-2](n \\geq 2)$ is one-and-half palindromic if and only if it satisfies $S[i]\u003dS[2n-i]\u003dS[2n+i-2] (1\\leq i \\leq n)$.For example, $abcbabc$ is one-and-half palindromic string, and $abccbaabc$ is not. Now, Alice has generated some long strings. She ask for your help to find how many substrings which is one-and-half palindromic.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line is the number of test cases. For each test case, there is only one line containing a string(the length of strings is less than or equal to $500000$), this string only consists of lowercase letters."}},{"title":"Output","value":{"format":"HTML","content":"For each test case, output a integer donating the number of one-and-half palindromic substrings."}},{"title":"Sample","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\u003e1\r\nababcbabccbaabc\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Hint","value":{"format":"HTML","content":"\u003cbr\u003eIn the example input, there are two substrings which are one-and-half palindromic strings, $abab$ and $abcbabc$.\u003cbr\u003e"}}]}