Dr. Cooper's particle detector is broken and he needs your help writing a simulator to find the issue. Model the detector plate as a rectangle in 2D space defined by two pairs of (X,Y) coordinates representing opposite corners. Given a list of impact points, determine which particles should register on the detector.

The first line contains four integers X1 Y1 X2 Y2 indicating the corners of the detector plate. Each subsequent line contains a pair of integers representing the coordinates of a particle. Print "Hit" or "Miss" to indicate which points fall within the boundary until the end of file is reached.

Sample Input

0 0  10 10
1 1
11 11
-1 5
5 7
10 10
10 5
12 3
5 -14

Hit
Miss
Miss
Hit
Hit
Hit
Miss
Miss