Problem: 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.

<image>
---
Figure 1: The water tank

The size of the tank is 100cm (Width) * 50cm (Height) * 30cm (Depth) (see Figure 1). For the experiments, he fits several partition boards inside of the tank parallel to the sideboards. The width of each board is equal to the depth of the tank, i.e. 30cm. The height of each board is less than that of the tank, i.e. 50 cm, and differs one another. The boards are so thin that he can neglect the thickness in the experiments.

<image>
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Figure 2: The front view of the tank

The front view of the tank is shown in Figure 2.

There are several faucets above the tank and he turns them on at the beginning of his experiment. The tank is initially empty. Your mission is to write a computer program to simulate water flow in the tank.



Input

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.

Output

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.

Each answer may not have an error greater than 0.001. As long as this condition is satisfied, you may output any number of 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.

Example

Input

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


Output

0.666667
21.4286
36.6667
11.1111
40.0
50.0
30.0
13.3333
13.3333

Solution (in CPP):

Solution:
#define _USE_MATH_DEFINES
#define INF 0x3f3f3f3f
#include <cstdio>
#include <iostream>
#include <sstream>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include <queue>
#include <stack>
#include <limits>
#include <map>
#include <string>
#include <cstring>
#include <set>
#include <deque>
#include <bitset>
#include <list>
#include <cctype>
#include <utility>
 
using namespace std;
 
typedef long long ll;
typedef pair <int,int> P;
typedef pair <int,P > PP;
 
int tx[] = {0,1,0,-1};
int ty[] = {-1,0,1,0};
 
static const double EPS = 1e-8;

class Cell {
public:
  int parent;
  int brother;
  bool has_child;

  int water;
  int capacity;
  int height;
  int start_x;
  int end_x;
  Cell(int _h,int _sx,int _ex) : height(_h),start_x(_sx),end_x(_ex),
				 parent(-1),brother(-1),water(0),has_child(false){
    capacity = height * (end_x - start_x) * 30;
  }

  void pour_water(int _water){
    water += _water;
  }

  double compute_water_level(){
    return (double)water / ((double)(end_x - start_x) * 30.0);
  }
  bool is_filled(){
    return (capacity <= water);
  }

  bool operator<(const Cell& c) const{
    return start_x < c.start_x;
  }
  bool operator<(const int _x) const{
    return start_x < _x;
  }
};

struct Board{
  int x;
  int height;
  Board(int _x,int _h) : x(_x), height(_h) {}
  bool operator<(const Board& b) const{
    return x < b.x;
  }
  bool operator>(const Board& b) const{
    return x > b.x;
  }
};

struct Faucet{
  int x;
  int cm3_per_second;
  Faucet(int _x,int _c) : x(_x), cm3_per_second(_c) {}
  Faucet() : x(0), cm3_per_second(0) {}

  bool operator <(const Faucet& f) const{
    return (x < f.x);
  }

  bool operator >(const Faucet& f) const{
    return (x > f.x);
  }
  bool operator ==(const Faucet& f) const{
    return (x == f.x);
  }

  bool operator <(const int _x) const{
    return (x < _x);
  }
  bool operator >(const int _x) const{
    return (x > _x);
  }
  bool operator ==(const int _x) const{
    return (x == _x);
  }
};

int main(){
  int total_data_sets;
  while(~scanf("%d",&total_data_sets)){
    for(int data_set_idx = 0; data_set_idx < total_data_sets; data_set_idx++){

      vector<Cell> cells;
      vector<Board> boards;
      int total_boards;
      scanf("%d",&total_boards);

      boards.push_back(Board(0,50));
      for(int board_idx = 0; board_idx < total_boards; board_idx++){
	int x,height;
	scanf("%d %d",&x,&height);
	boards.push_back(Board(x,height));
      }
      boards.push_back(Board(100,50));

      sort(boards.begin(),boards.end());
      for(int src_idx = 0; src_idx < boards.size(); src_idx++){
	if(boards[src_idx].x == 100) continue;

	for(int target_idx = src_idx+1; target_idx < boards.size(); target_idx++){
	  if(boards[target_idx].height < boards[src_idx].height) continue;

	  else if(boards[target_idx].height >= boards[src_idx].height){
	    cells.push_back(Cell(boards[src_idx].height,boards[src_idx].x,boards[target_idx].x));
	    break;
	  }
	}

	for(int target_idx = src_idx-1; target_idx >= 0; target_idx--){
	  if(boards[target_idx].height < boards[src_idx].height) continue;

	  else if(boards[target_idx].height > boards[src_idx].height){
	    cells.push_back(Cell(boards[src_idx].height,boards[target_idx].x,boards[src_idx].x));
	    break;
	  }
	}
      }

      //set brother
      for(int src_idx=0;src_idx<cells.size();src_idx++){
	int height = cells[src_idx].height;

	int target_wall[101];
	memset(target_wall,0,sizeof(target_wall));

	for(int target_idx = 0; target_idx < cells.size(); target_idx++){
	  if(target_idx == src_idx) continue;

	  if(cells[src_idx].end_x == cells[target_idx].start_x){
	    target_wall[cells[target_idx].start_x] = max(cells[target_idx].height,target_wall[cells[target_idx].start_x]);
	  }
	  if(cells[src_idx].start_x == cells[target_idx].end_x){
	    target_wall[cells[target_idx].end_x] = max(cells[target_idx].height,target_wall[cells[target_idx].end_x]);
	  }
	}

	int diff = INF;
	for(int target_idx = 0; target_idx < cells.size(); target_idx++){
	  if(src_idx == target_idx) continue;
	  if(cells[src_idx].end_x == cells[target_idx].start_x
	     && height == target_wall[cells[target_idx].start_x]
	     && diff > abs(cells[src_idx].end_x - cells[target_idx].end_x)){
	    diff = abs(cells[src_idx].end_x - cells[target_idx].end_x);
	    cells[src_idx].brother = target_idx;
	  }
	  if(cells[src_idx].start_x == cells[target_idx].end_x
	     && height == target_wall[cells[target_idx].end_x]
	     && diff > abs(cells[src_idx].start_x - cells[target_idx].start_x)){
	    diff = abs(cells[src_idx].start_x - cells[target_idx].start_x);
	    cells[src_idx].brother = target_idx;
	  }
	}
      }

      //set parent
      for(int src_idx=0;src_idx<cells.size();src_idx++){
	int min_height = INF;
	int lower_height = cells[src_idx].height;
	for(int target_idx = 0; target_idx < cells.size(); target_idx++){
	  if(src_idx == target_idx) continue;

	  if(cells[src_idx].start_x >= cells[target_idx].start_x
	     && cells[src_idx].end_x <= cells[target_idx].end_x
	     && lower_height <= cells[target_idx].height
	     && min_height > cells[target_idx].height){
	    min_height = cells[target_idx].height;
	    cells[src_idx].parent = target_idx;
	  }
	}

	if(cells[src_idx].parent != -1){
	  cells[cells[src_idx].parent].has_child = true;
	}
      }


      vector<Faucet> faucets;
      int total_faucets;
      scanf("%d",&total_faucets);
      for(int foucet_idx = 0; foucet_idx < total_faucets; foucet_idx++){
	int x,cm3_per_second;
	scanf("%d %d",&x,&cm3_per_second);
	faucets.push_back(Faucet(x,cm3_per_second));
      }

      sort(faucets.begin(),faucets.end());


      int total_observation_times;
      scanf("%d",&total_observation_times);

      vector<Cell> store = cells;
      for(int observation_time_idx = 0; observation_time_idx < total_observation_times; observation_time_idx++){
	int x,time;
	scanf("%d %d",&x,&time);
	
	for(int cell_idx = 0;cell_idx < cells.size(); cell_idx++){
	  for(int faucet_idx = 0; faucet_idx < faucets.size();faucet_idx++){
	    //	  int faucet_idx = lower_bound(faucets.begin(),faucets.end(),cells[cell_idx].start_x) - faucets.begin();
	    if(faucet_idx == faucets.size()) continue;
	    if(faucets[faucet_idx].x < cells[cell_idx].start_x) continue;
	    if(faucets[faucet_idx].x > cells[cell_idx].end_x) continue;
	    if(cells[cell_idx].has_child) continue;
	    
	    cells[cell_idx].pour_water(faucets[faucet_idx].cm3_per_second * time);
	  }
	}


	bool is_erased[1001];
	memset(is_erased,false,sizeof(is_erased));

	for(int round=0;round<10000;round++){
	  for(int src_idx = 0;src_idx < cells.size(); src_idx++){
	    if(is_erased[src_idx]) continue;
	    if(!cells[src_idx].is_filled()) continue;

	    int freq[1001];
	    memset(freq,0,sizeof(freq));

	    int limit = cells.size() * 3;
	    int cell_idx = src_idx;

	    bool isok = true;
	    while(limit-- > 0){
	      if(!cells[cell_idx].is_filled()) break;

	      freq[cell_idx]++;
	      if(freq[cell_idx] >= 3) isok = false;
	      int brother = cells[cell_idx].brother;
	      if(brother == -1) break;
	      cells[brother].water += (cells[cell_idx].water - cells[cell_idx].capacity);
	      cells[cell_idx].water = cells[cell_idx].capacity;
	      cell_idx = brother;
	    }
	    
	    if(isok) continue;

	    int sx = INF;
	    int ex = 0;
	    int water = 0;

	    for(int cell_idx = 0;cell_idx < cells.size(); cell_idx++){
	      if(is_erased[cell_idx]) continue;

	      if(freq[cell_idx] >= 3){
		sx = min(sx,cells[cell_idx].start_x);
		ex = max(ex,cells[cell_idx].end_x);
		water += cells[cell_idx].water;
		cells[cell_idx].water = 0;
		is_erased[cell_idx] = true;
	      }
	    }
	    
	    int new_cell_idx = 0;
	    for(int cell_idx = 0;cell_idx < cells.size(); cell_idx++){
	      if(is_erased[cell_idx]) continue;
	      
	      if(sx == cells[cell_idx].start_x 
		 && ex == cells[cell_idx].end_x){

		cells[cell_idx].water = water;
		new_cell_idx = cell_idx;

		break;
	      }
	    }
	    
	    for(int cell_idx = 0;cell_idx < cells.size(); cell_idx++){
	      if(is_erased[cell_idx]) continue;
	      if(cells[cell_idx].brother != -1
		 &&is_erased[cells[cell_idx].brother]){
		cells[cell_idx].brother = new_cell_idx;
	      }
	    }
	  }
	}

	double res= 0.0;
	for(int cell_idx = 0;cell_idx < cells.size(); cell_idx++){
	  if(cells[cell_idx].start_x <= x && x <= cells[cell_idx].end_x){
	    res = max(cells[cell_idx].compute_water_level(),res);
	  }
	}
	printf("%lf\n",res >= 50.0 ? 50.0 : res);
	cells = store;
      }
    }
  }
}