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Little Elephant and Interval

2000ms 262144K

Description:

The Little Elephant very much loves sums on intervals.

This time he has a pair of integers l and r (l ≤ r). The Little Elephant has to find the number of such integers x (l ≤ x ≤ r), that the first digit of integer x equals the last one (in decimal notation). For example, such numbers as 101, 477474 or 9 will be included in the answer and 47, 253 or 1020 will not.

Help him and count the number of described numbers x for a given pair l and r.

Input:

The single line contains a pair of integers l and r (1 ≤ l ≤ r ≤ 1018) — the boundaries of the interval.

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.

Output:

On a single line print a single integer — the answer to the problem.

Sample Input:

2 47

Sample Output:

12

Sample Input:

47 1024

Sample Output:

98

Note:

In the first sample the answer includes integers 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44.

Informação

Codeforces

Provedor Codeforces

Código CF204A

Tags

binary searchcombinatoricsdp

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Taxa de BOUA's 0%

Datas 09/05/2023 08:38:06

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