# Practice on Toph

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Participate in exhilarating programming contests, solve unique algorithm and data structure challenges and be a part of an awesome community.

Gyanbaba, the wisest saint of the universe, has returned to the holy land of Chittagong Hill Tracts. Like last season, His Holiness is looking forward to spread his knowledge only to the chosen person. We all know his fondness for palindromes. This year he is again asking the applicants, who seek his holy knowledge, to solve a problem related to palindromes.

Gyanbaba gives all the applicants a string **S**, containing lowercase English letters only. He also gives them **Q** queries, each query is of the form **l, r**. The answer of **Query(l, r)** is the number of sub-strings of the string **S[l, l+1, …, r]**, which can be permuted to create a palindrome.

Can you answer all the queries correctly and enroll as a murid (apprentice) of His Holiness?

The first line of input contains two integers **N (1 ≤ N ≤ 5*10 ^{4})** and

For each query, print the number of sub-strings of the string **S[l, l+1, … , r]**, which can be permuted to create a palindrome, in separate lines.

Input | Output |
---|---|

7 1 acgabgc 0 6 | 8 |

Input | Output |
---|---|

4 2 xyyx 0 2 2 3 | 5 2 |

**Explanation of Sample I/O**

In first sample, the substrings formed by following pair of integers can create palindromes: (0, 0), (0, 6), (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6). So the answer of query-1 is 8.

In second case, palindromes can be formed by permuting the following substrings: (0, 0), (0, 2), (0, 3), (1, 1), (1, 2), (1, 3), (2, 2), (3, 3). So the answer of query-1 is 5 and answer of query-2 is 2.

56% Solution Ratio

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ruhanhabib39Fastest, 3410191.8s

math10Lightest, 268 MB

tasmeemrezaShortest, 1628B

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