You are given two positive integers, ~A~ and ~B~. Define ~O_x~ as the decimal number consisting of ~x~ consecutive ones. For example, ~O_4 = 1111~. Determine the number of ones in the decimal representation of ~O_A \times O_B~.

Constraints

~1 \le A, B \le 10^9~

Subtask 1 [20%]

~1 \le A, B \le 10^5~

Subtask 2 [80%]

No additional constraints.

Input Specification

The first line contains two space-separated integers, ~A~ and ~B~.

Output Specification

Output one line containing one integer, the number of ones in the decimal representation of ~O_A \times O_B~.

Sample Input 1

3 5

Sample Output 1

2

Explanation for Sample 1

~O_3 \times O_5 = 111 \times 11111 = \underline{1}23332\underline{1} \to 2~ ones.

Sample Input 2

314159 265358

Sample Output 2

29486