Steps

Time Limit: 1 Second    Memory Limit: 32768 KB

One steps through integer points of the straight line. The length of a step must be nonnegative and can be by one bigger than, equal to, or by one smaller than the length of the previous step.

What is the minimum number of steps in order to get from x to y? The length of the first and the last step must be 1.

Input

For each test case, a line follows with two integers: 0 <= x <= y < 2^31.

Output

For each test case, print a line giving the minimum number of steps to get from x to y.

Sample Input

45 48
45 49
45 50

Sample Output

3
3
4

Submit

Source: University of Waterloo Local Contest 2000.01.29