You've got a string *s* = *s*<sub class="lower-index">1</sub>*s*<sub class="lower-index">2</sub>... *s*<sub class="lower-index">|*s*|</sub> of length |*s*|, consisting of lowercase English letters. There also are *q* queries, each query is described by two integers *l*<sub class="lower-index">*i*</sub>, *r*<sub class="lower-index">*i*</sub> (1 ≤ *l*<sub class="lower-index">*i*</sub> ≤ *r*<sub class="lower-index">*i*</sub> ≤ |*s*|). The answer to the query is the number of substrings of string *s*[*l*<sub class="lower-index">*i*</sub>... *r*<sub class="lower-index">*i*</sub>], which are palindromes.

String *s*[*l*... *r*] = *s*<sub class="lower-index">*l*</sub>*s*<sub class="lower-index">*l* + 1</sub>... *s*<sub class="lower-index">*r*</sub> (1 ≤ *l* ≤ *r* ≤ |*s*|) is a substring of string *s* = *s*<sub class="lower-index">1</sub>*s*<sub class="lower-index">2</sub>... *s*<sub class="lower-index">|*s*|</sub>.

String *t* is called a palindrome, if it reads the same from left to right and from right to left. Formally, if *t* = *t*<sub class="lower-index">1</sub>*t*<sub class="lower-index">2</sub>... *t*<sub class="lower-index">|*t*|</sub> = *t*<sub class="lower-index">|*t*|</sub>*t*<sub class="lower-index">|*t*| - 1</sub>... *t*<sub class="lower-index">1</sub>.
The first line contains string *s* (1 ≤ |*s*| ≤ 5000). The second line contains a single integer *q* (1 ≤ *q* ≤ 10<sup class="upper-index">6</sup>) — the number of queries. Next *q* lines contain the queries. The *i*-th of these lines contains two space-separated integers *l*<sub class="lower-index">*i*</sub>, *r*<sub class="lower-index">*i*</sub> (1 ≤ *l*<sub class="lower-index">*i*</sub> ≤ *r*<sub class="lower-index">*i*</sub> ≤ |*s*|) — the description of the *i*-th query.

It is guaranteed that the given string consists only of lowercase English letters.
import sys
from array import array

input = lambda: sys.stdin.buffer.readline().decode().strip()
s, out = input(), array('i')
n = len(s)
dp = [array('i', [1] * n) for _ in range(n)]
pre = array('i', [1] * n)

for i in range(2, n + 1):
    for j in range(n - i + 1):
        l, r = j, i + j - 1
        dp[l][r] = dp[l + 1][r - 1] * (s[l] == s[r])
        pre[r] += dp[l][r]

for i in range(n):
    for j in range(i + 1, n):
        cur = dp[i][j]
        dp[i][j] = dp[i][j - 1] + pre[j]
        pre[j] -= cur

for _ in range(int(input())):
    l, r = map(int, input().split())
    out.append(dp[l - 1][r - 1])

print('\n'.join(map(str, out)))
