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E. Lucky Interval

time limit per test

4 secondsmemory limit per test

512 megabytesinput

standard inputoutput

standard outputPetya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.

One day Petya came across an interval of numbers [*a*, *a* + *l* - 1]. Let *F*(*x*) be the number of lucky digits of number *x*. Find the minimum *b* (*a* < *b*) such, that *F*(*a*) = *F*(*b*), *F*(*a* + 1) = *F*(*b* + 1), ..., *F*(*a* + *l* - 1) = *F*(*b* + *l* - 1).

Input

The single line contains two integers *a* and *l* (1 ≤ *a*, *l* ≤ 10^{9}) — the interval's first number and the interval's length correspondingly.

Output

On the single line print number *b* — the answer to the problem.

Examples

Input

7 4

Output

17

Input

4 7

Output

14

Note

Consider that [*a*, *b*] denotes an interval of integers; this interval includes the boundaries. That is,

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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