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#8884. 米哈伊尔的问题

统计

给定一个字符串 $s$ 和若干次询问。对于第 $i$ 次询问,计算 $s[l_i..r_i]$ 中不同回文子串的数量。如果一个子串从右向左读和从左向右读相同,则称其为回文的。如果两个子串作为字符串不同,则它们被视为不同的子串。

输入格式

第一行包含一个非空字符串 $s$,由小写英文字母组成。字符串长度不超过 $10^5$。

第二行包含一个整数 $q$,表示询问次数 ($1 \le q \le 10^5$)。接下来 $q$ 行包含询问。每行包含两个整数 $l_i$ 和 $r_i$,用空格分隔 ($1 \le l_i \le r_i \le |s|$)。

输出格式

输出 $q$ 行。第 $i$ 行必须包含一个整数:第 $i$ 次询问的答案。

样例

样例输入 1

bbabaabbcabcabc
10
1 7
1 8
1 9
1 10
2 7
2 8
2 9
2 10
7 15
8 15

样例输出 1

7
7
8
8
6
7
8
8
4
3

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