Time Limit : sec, Memory Limit : KB

# Reflection

For given three points p1, p2, p, find the reflection point x of p onto p1p2.

## Input

xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1


In the first line, integer coordinates of p1 and p2 are given. Then, q queries are given for integer coordinates of p.

## Output

For each query, print the coordinate of the reflection point x. The output values should be in a decimal fraction with an error less than 0.00000001.

## Constraints

• 1 ≤ q ≤ 1000
• -10000 ≤ xi, yi ≤ 10000
• p1 and p2 are not identical.

## Sample Input 1

0 0 2 0
3
-1 1
0 1
1 1


## Sample Output 1

-1.0000000000 -1.0000000000
0.0000000000 -1.0000000000
1.0000000000 -1.0000000000


## Sample Input 2

0 0 3 4
3
2 5
1 4
0 3


## Sample Output 2

4.2400000000 3.3200000000
3.5600000000 2.0800000000
2.8800000000 0.8400000000