Book Reading

Polycarp is reading a book consisting of n pages numbered from 1 to n. Every time he finishes the page with the number divisible by m, he writes down the last digit of this page number. For example, if n=15 and m=5, pages divisible by m are 5, 10, 15. Their last digits are 5, 0, 5 correspondingly, their sum is 10.

Your task is to calculate the sum of all digits Polycarp has written down.

You have to answer q independent queries.

Input

The first line of the input contains one integer q (1 ≤ q ≤ 1000) — the number of queries.

The following q lines contain queries, one per line. Each query is given as two integers n and m (1 ≤ n, m ≤ 10^{16}) — the number of pages in the book and required divisor, respectively.

Output

For each query print the answer for it — the sum of digits written down by Polycarp.

Example

Input

7 1 1 10 1 100 3 1024 14 998244353 1337 123 144 1234312817382646 13

Output

1 45 153 294 3359835 0 427262129093995

inputFormat

Input

The first line of the input contains one integer q (1 ≤ q ≤ 1000) — the number of queries.

The following q lines contain queries, one per line. Each query is given as two integers n and m (1 ≤ n, m ≤ 10^{16}) — the number of pages in the book and required divisor, respectively.

outputFormat

Output

For each query print the answer for it — the sum of digits written down by Polycarp.

Example

Input

7 1 1 10 1 100 3 1024 14 998244353 1337 123 144 1234312817382646 13

Output

1 45 153 294 3359835 0 427262129093995

样例

7
1 1
10 1
100 3
1024 14
998244353 1337
123 144
1234312817382646 13

1
45
153
294
3359835
0
427262129093995

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