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Square RevolutionTime Limit: 10000/5000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 174 Accepted Submission(s): 44 Problem Description Alex loves solving algorithmic problems relating with strings. After solving the problem about counting the number of prefix-square free strings of length at most $n$, he is curious in the number of prefix-suffix-square free substrings of a string $s$. Can you help him? A string is called a square string if it can be obtained by concatenating two copies of the same string (i.e. $s=uu$ for some word $u$). For example, "abab", "aa" are square strings, while "aaa", "abba" are not. A string is called prefix-suffix-square free if none of its prefixes/suffixes is a square. Input There are multiple test cases. The first line of input contains an integer $T$, indicating the number of test cases. For each test case: The first line contains a string $s=s_{1}s_{2}...s_{n}$ $(1 \le n \le 10^5)$ consisting of lowercase English letters. There are at most $1000$ test cases and the sum of $n$ does not exceed $10^6$. Output For each test case, output the number of prefix-suffix-square free substrings of $s$. Sample Input
Sample Output
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