Yet Another Meme Problem

题意翻译

- 给定 $A,B$，问有多少个二元组 $(a,b)$ 满足 $1\le a \le A,1\le b\le B$ 且 $a\cdot b+a+b=\operatorname{conc}(a,b)$。其中 $\operatorname{conc}(a,b)$ 表示将 $a,b$ 拼接在一起，比如 $\operatorname{conc}(12,23)=1223,\operatorname{conc}(100,11)=10011$，$a,b$ 不能含有前导 $0$。 - 本题有多组数据。令数据组数为 $T$，$T\le 100$，$A\le 10^9$，$B\le 10^9$。

题目描述

Try guessing the statement from this picture <http://tiny.cc/ogyoiz>. 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.

输入输出格式

输入格式

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) $ .

输出格式

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.

输入输出样例

输入样例 #1

3
1 11
4 2
191 31415926

输出样例 #1

1
0
1337

说明

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