# [EC Final 2021] Beautiful String

## 题目描述

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: - $s = s_1 + s_2 + s_3 + s_4 + s_5 + s_6$, where $s_i (1\leq i\leq 6)$ are nonempty substrings. $a + b$ means the concatenation of string $a$ and $b$ here. - $s_1 = s_2 = s_5, s_3 = s_6$. For 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. Accordingly, the beauty of a string $s$ is defined as the number of beautiful partitions of $s$. Given a string $t$, please help Prof. Pang to figure out the sum of beauties of all substrings of $t$.

## 输入输出格式

### 输入格式

The first line contains a single integer $T~(1\leq T \le 50)$ indicating the number of test cases. For each test case, there is one single line containing the string $t$, consisting of digits from 0' to 9'. It is guaranteed that the length of each $t$ in each test case will not exceed $5000$ and the total length will not exceed $30000$.

### 输出格式

For each test case, output a single line containing an integer, indicating the sum of beauties of all substrings of $t$.

## 输入输出样例

### 输入样例 #1

2
114514
0000000

### 输出样例 #1

1
3