CSES - Number Spiral
  • Time limit: 1.00 s
  • Memory limit: 512 MB
A number spiral is an infinite grid whose upper-left square has number 1. Here are the first five layers of the spiral:

Your task is to find out the number in row $y$ and column $x$.

Input

The first input line contains an integer $t$: the number of tests.

After this, there are $t$ lines, each containing integers $y$ and $x$.

Output

For each test, print the number in row $y$ and column $x$.

Constraints
  • $1 \le t \le 10^5$
  • $1 \le y,x \le 10^9$
Example

Input:
3
2 3
1 1
4 2


Output:
8
1
15