B. Maximize Sum of Digits

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputAnton has the integer *x*. He is interested what positive integer, which doesn't exceed *x*, has the maximum sum of digits.

Your task is to help Anton and to find the integer that interests him. If there are several such integers, determine the biggest of them.

Input

The first line contains the positive integer *x* (1 ≤ *x* ≤ 10^{18}) — the integer which Anton has.

Output

Print the positive integer which doesn't exceed *x* and has the maximum sum of digits. If there are several such integers, print the biggest of them. Printed integer must not contain leading zeros.

Examples

Input

100

Output

99

Input

48

Output

48

Input

521

Output

499

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

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