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Problems

Zeros in the product

Zeros in the product

Time limit 1 second
Memory limit 128 MiB

Let P(a, b) be the product of all integers from a to b inclusively.

Given a and b, find the number of consecutive zeros at the end of the decimal notation of the number P(a, b).

Input data

Two integers a and b\:(-10^9 ≤ a ≤ b ≤ 10^9).

Output data

Print one number — the required number of zeros.

Examples

Input example #1
1 6
Output example #1
1