Yet Another Meme Problem(打表找规律)
Try guessing the statement from this picture http://tiny.cc/ogyoiz.
You are given two integers AA and BB, calculate the number of pairs (a,b)(a,b) such that 1≤a≤A1≤a≤A, 1≤b≤B1≤b≤B, and the equation a?b+a+b=conc(a,b)a?b+a+b=conc(a,b) is true; conc(a,b)conc(a,b) is the concatenation of aa and bb (for example, conc(12,23)=1223conc(12,23)=1223, conc(100,11)=10011conc(100,11)=10011). aa and bb should not contain leading zeroes.
Input
The first line contains tt (1≤t≤1001≤t≤100) — the number of test cases.
Each test case contains two integers AA and BB (1≤A,B≤109)(1≤A,B≤109).
Output
Print one integer — the number of pairs (a,b)(a,b) such that 1≤a≤A1≤a≤A, 1≤b≤B1≤b≤B, and the equation a?b+a+b=conc(a,b)a?b+a+b=conc(a,b) is true.
Example
Input
3
1 11
4 2
191 31415926
Output
1
0
1337
Note
There is only one suitable pair in the first test case: a=1a=1, b=9b=9 (1+9+1?9=191+9+1?9=19).
對照樣例進行打表找規律。
規律如下:
代碼如下:
努力加油a啊,(o)/~
總結
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