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Problems

# The Factorial

Given the value of n! (n! = 1 * 2 * ... * (n - 1) * n). Find the value of n.

#### Input

The value of n! (1n2000).

#### Output

Print the value of positive integer n.

Time limit 1 second
Memory limit 128 MiB
Input example #1
5040

Output example #1
7