#RANGZER2. ZEROES IN RANGE V2

ZEROES IN RANGE V2

You are given two integers a and b. Find the number of zeroes in the digits of all the numbers in the range [a, b] inclusive.

Input

The first line consists of an integer t, the number of test cases. For each test case you will be given two integers a and b (a ≤ b).

Output

For each test case print the required answer.

Constraints

1 ≤ t ≤ 1000

1 ≤ a ≤ b ≤ 109

Example

Input:
2
1 10
1 100

Output: 1 11

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