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B. Maximize Sum of Digits
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Anton 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 ≤ 1018) — 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