Yet Another Meme Problem

1000ms

262144K

Description:

You are given two integers $$$A$$$ and $$$B$$$, calculate the number of pairs $$$(a, b)$$$ such that $$$1 \le a \le A$$$, $$$1 \le b \le B$$$, and the equation $$$a \cdot b + a + b = conc(a, b)$$$ is true; $$$conc(a, b)$$$ is the concatenation of $$$a$$$ and $$$b$$$ (for example, $$$conc(12, 23) = 1223$$$, $$$conc(100, 11) = 10011$$$). $$$a$$$ and $$$b$$$ should not contain leading zeroes.

Input:

The first line contains $$$t$$$ ($$$1 \le t \le 100$$$) — the number of test cases.

Each test case contains two integers $$$A$$$ and $$$B$$$ $$$(1 \le A, B \le 10^9)$$$.

Output:

Print one integer — the number of pairs $$$(a, b)$$$ such that $$$1 \le a \le A$$$, $$$1 \le b \le B$$$, and the equation $$$a \cdot b + a + b = conc(a, b)$$$ is true.

Sample Input:

3
1 11
4 2
191 31415926

Sample Output:

1
0
1337

Note:

There is only one suitable pair in the first test case: $$$a = 1$$$, $$$b = 9$$$ ($$$1 + 9 + 1 \cdot 9 = 19$$$).

Informação

Provedor Codeforces

Código CF1288B