-232. What day is Today?

Task Description

Write a program to determine the day for a given day. We will first have the year and the day of January first. For example, January first of 2012 is a Sunday. Then we will have the month and day of today. For example, today is November thirteenth. Please determine the day of today, which is a Tuesday.

Input

The first line has the year and the day of January first. In our example, that will be 2012 0. Note that we use 0 for Sunday, 1 for Monday, etc. The second line is the number of test cases $n$. $n$ is at least 1 and at most 10. Each of the following $n$ lines has the month and day. In our example, it will be 11 13. If the month is incorrect, you should output -1. If the month is correct but the day is incorrect, you should output -2.

Output

The is $n$ output lines, and each line has an integer, which is the day of the test case. Here we use 0 for Sunday, 1 for Monday, etc.

Sample input

2012 0
5
11 13
11 14
11 15
13 1
1 200

Sample output

2
3
4
-1
-2