Mr. Denjiro is a science teacher. Today he has just received a specially ordered water tank that will certainly be useful for his innovative experiments on water flow.
The input consists of multiple data sets. D is the number of the data sets.
D
DataSet1
DataSet2
...
DataSetD
The format of each data set (DataSetd , 1 <= d <= D) is as follows.
N
B1 H1
B2 H2
...
BN HN
M
F1 A1
F2 A2
...
FM AM
L
P1 T1
P2 T2
...
PL TL
Each line in the data set contains one or two integers.
N is the number of the boards he sets in the tank . Bi and Hi are the x-position (cm) and the height (cm) of the i-th board, where 1 <= i <= N .
Hi s differ from one another. You may assume the following.
0 < N < 10 ,
0 < B1 < B2 < ... < BN < 100 ,
0 < H1 < 50 , 0 < H2 < 50 , ..., 0 < HN < 50.
M is the number of the faucets above the tank . Fj and Aj are the x-position (cm) and the amount of water flow (cm3/second) of the j-th faucet , where 1 <= j <= M .
There is no faucet just above any boards . Namely, none of Fj is equal to Bi .
You may assume the following .
0 < M <10 ,
0 < F1 < F2 < ... < FM < 100 ,
0 < A1 < 100, 0 < A2 < 100, ... 0 < AM < 100.
L is the number of observation time and location. Pk is the x-position (cm) of the k-th observation point. Tk is the k-th observation time in seconds from the beginning.
None of Pk is equal to Bi .
You may assume the following .
0 < L < 10 ,
0 < P1 < 100, 0 < P2 < 100, ..., 0 < PL < 100 ,
0 < T1 < 1000000, 0 < T2 < 1000000, ... , 0 < TL < 1000000.
For each data set, your program should output L lines each containing one real number which represents the height (cm) of the water level specified by the x-position Pk at the time Tk.
Round the answer to 3 digits after the decimal point.
After the water tank is filled to the brim, the water level at any Pk is equal to the height of the tank, that is, 50 cm.
2 5 15 40 35 20 50 45 70 30 80 10 3 20 3 60 2 65 2 6 40 4100 25 7500 10 18000 90 7000 25 15000 25 22000 5 15 40 35 20 50 45 70 30 80 10 2 60 4 75 1 3 60 6000 75 6000 85 6000
0.667 21.429 36.667 11.111 40.000 50.000 30.000 13.333 13.333