{"problem":{"name":"[EC Final 2021] Beautiful String","description":{"content":"Prof. Pang recently got a dictionary of the elvish language, including many strings representing their words. He thinks a partition of string $s$ is beautiful if both of the following conditions are s","description_type":"Markdown"},"platform":"Luogu","limit":{"time_limit":3000,"memory_limit":1048576},"difficulty":{"LuoguStyle":"P5"},"is_remote":true,"is_sync":true,"sync_url":null,"sign":"LGP9873"},"statements":[{"statement_type":"Markdown","content":"Prof. Pang recently got a dictionary of the elvish language, including many strings representing their words. He thinks a partition of string $s$ is beautiful if both of the following conditions are satisfied:\n\n- $s = s_1 + s_2 + s_3 + s_4 + s_5 + s_6$, where $s_i (1\\leq i\\leq 6)$ are nonempty substrings. $a + b$ means the concatenation of string $a$ and $b$ here.\n- $s_1 = s_2 = s_5, s_3 = s_6$.\n\nFor example, you can partition the string ``114514`` into $6$ parts : ``114514`` = ``1`` + ``1`` + ``4`` + ``5`` + ``1`` + ``4``. The first, second, fifth parts are the same, and the third and sixth parts are the same. Thus, the partition of $s=$``114514`` into $s_1=$``1``, $s_2=$``1``, $s_3=$``4``, $s_4=$``5``, $s_5=$``1``, and $s_6=$``4`` is beautiful. \n\nAccordingly, the beauty of a string $s$ is defined as the number of beautiful partitions of $s$.\n\nGiven a string $t$, please help Prof. Pang to figure out the sum of beauties of all substrings of $t$.\n\n## Input\n\nThe first line contains a single integer $T~(1\\leq T \\le 50)$ indicating the number of test cases. \n\nFor each test case, there is one single line containing the string $t$, consisting of digits from `0' to `9'.\n\nIt is guaranteed that the length of each $t$ in each test case will not exceed $5000$ and the total length will not exceed $30000$.\n\n## Output\n\nFor each test case, output a single line containing an integer, indicating the sum of beauties of all substrings of $t$.\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"LGP9873","tags":["字符串","2021","O2优化","ICPC","EC Final"],"sample_group":[["2\n114514\n0000000","1\n3"]],"created_at":"2026-03-03 11:09:25"}}