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B. Fedya and Maths

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputFedya studies in a gymnasium. Fedya's maths hometask is to calculate the following expression:

for given value of *n*. Fedya managed to complete the task. Can you? Note that given number *n* can be extremely large (e.g. it can exceed any integer type of your programming language).

Input

The single line contains a single integer *n* (0 ≤ *n* ≤ 10^{105}). The number doesn't contain any leading zeroes.

Output

Print the value of the expression without leading zeros.

Examples

Input

4

Output

4

Input

124356983594583453458888889

Output

0

Note

Operation *x* *mod* *y* means taking remainder after division *x* by *y*.

Note to the first sample:

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