Analyzing Login/Logout Records

Time Limit : 3 sec, Memory Limit : 65536 KB
Japanese version is here

Problem B: Analyzing Login/Logout Records

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.


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.

    Sample 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 for the Sample Input

    55
    70
    30
    0
    0
    50
    10
    50
    0
    

    Source: ACM International Collegiate Programming Contest , Japan Domestic Contest, Tokyo, Japan, 2007
    http://www.logos.ic.i.u-tokyo.ac.jp/icpc2007/