You have a computer literacy course in your university. In the computer system, the login/logout records of all PCs in a day are stored in a file. Although students may use two or more PCs at a time, no one can log in to a PC which has been logged in by someone who has not logged out of that PC yet.

You are asked to write a program that calculates the total time of a student that he/she used at least one PC in a given time period (probably in a laboratory class) based on the records in the file.

The following are example login/logout records.

• The student 1 logged in to the PC 1 at 12:55
• The student 2 logged in to the PC 4 at 13:00
• The student 1 logged in to the PC 2 at 13:10
• The student 1 logged out of the PC 2 at 13:20
• The student 1 logged in to the PC 3 at 13:30
• The student 1 logged out of the PC 1 at 13:40
• The student 1 logged out of the PC 3 at 13:45
• The student 1 logged in to the PC 1 at 14:20
• The student 2 logged out of the PC 4 at 14:30
• The student 1 logged out of the PC 1 at 14:40

For a query such as "Give usage of the student 1 between 13:00 and 14:30", your program should answer "55 minutes", that is, the sum of 45 minutes from 13:00 to 13:45 and 10 minutes from 14:20 to 14:30, as depicted in the following figure.

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Input

The input is a sequence of a number of datasets. The end of the input is indicated by a line containing two zeros separated by a space. The number of datasets never exceeds 10.

Each dataset is formatted as follows.

N M
r
record1
...
recordr
q
query1
...
queryq

The numbers N and M in the first line are the numbers of PCs and the students, respectively. r is the number of records. q is the number of queries. These four are integers satisfying the following.

1 ≤ N ≤ 1000, 1 ≤ M ≤ 10000, 2 ≤ r ≤ 1000, 1 ≤ q ≤ 50

Each record consists of four integers, delimited by a space, as follows.

t n m s

s is 0 or 1. If s is 1, this line means that the student m logged in to the PC n at time t . If s is 0, it means that the student m logged out of the PC n at time t . The time is expressed as elapsed minutes from 0:00 of the day. t , n and m satisfy the following.

540 ≤ t ≤ 1260, 1 ≤ n ≤ N , 1 ≤ m ≤ M

You may assume the following about the records.
* Records are stored in ascending order of time t.
* No two records for the same PC has the same time t.
* No PCs are being logged in before the time of the first record nor after that of the last record in the file.
* Login and logout records for one PC appear alternatingly, and each of the login-logout record pairs is for the same student.

Each query consists of three integers delimited by a space, as follows.

ts te m

It represents "Usage of the student m between ts and te ". ts , te and m satisfy the following.

540 ≤ ts < te ≤ 1260, 1 ≤ m ≤ M

Output

For each query, print a line having a decimal integer indicating the time of usage in minutes. Output lines should not have any character other than this number.

Example

Input

4 2
10
775 1 1 1
780 4 2 1
790 2 1 1
800 2 1 0
810 3 1 1
820 1 1 0
825 3 1 0
860 1 1 1
870 4 2 0
880 1 1 0
1
780 870 1
13 15
12
540 12 13 1
600 12 13 0
650 13 15 1
660 12 15 1
665 11 13 1
670 13 15 0
675 11 13 0
680 12 15 0
1000 11 14 1
1060 12 14 1
1060 11 14 0
1080 12 14 0
3
540 700 13
600 1000 15
1000 1200 11
1 1
2
600 1 1 1
700 1 1 0
5
540 600 1
550 650 1
610 620 1
650 750 1
700 800 1
0 0

Output

55
70
30
0
0
50
10
50
0

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