A digit in a number N is a minima if it is lesser than both the digits adjacent to it. Similarly, a digit is a maxima if it is greater than both the digits adjacent to it. The slope of N is the number of digits in N (leaving out the first and the last digit) which are either a minima or a maxima. Given A and B, count the sum of the slopes of all numbers between A and B.

Input

The first line contains the number of test cases T. Each of the next T lines contains two integers A and B.

Output

Output T lines one for each test case, containing the required sum for the corresponding test case.

Sample

Input
3
101 101
1 100
100 150

Output
1
0
19

Constraints

1 <= T <= 50000

1 <= A <= B <= 1000000000000000 (10^15)