Number Spiral

Task:

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

 1n=int(input())
 2for i in range(n):
 3    y,x=map(int,input().strip().split())
 4    res=0
 5    if y<=x:
 6        if x%2==0:
 7            res= (x-1)**2+1+(y -1)
 8        else:
 9            res=x**2-(y -1)
10    else:
11        if y%2==0:
12            res=y**2-(x-1)
13        else:
14            res=(y-1)**2+1+(x-1)
15    print(res)
16