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Snake

Time Limit: 10000/6000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 495    Accepted Submission(s): 60


Problem Description
Snake is a popular game , and I believe most of us had played it . The Original game is that you can control a snake to eat the magic bean and after the snake eat one magic bean , the length of the snake¡¯s body will get longer .But today we are talking about a new game. These are the rules of the new Snake Game :
1. The length of the snake¡¯s body won¡¯t change even though it eat a magic bean.
2. Some pairs of the beans have a relation , that is, one of them can not be eaten until another one had been eaten . We call the latter ¡°the key bean¡± . For example , if A can¡¯t be eaten until B had been eaten ,we say ¡°B is the key bean of A¡±. (That means when A can¡¯t be eaten , the snake can not move into the grid where A is.)
3. The snake could not move to a wall or its body.Befor it move,it will chooses an adjacent vacant square of its head,which is neither a stone nor occupied by its body.
Figure 1 and figure2 shows how the snake move


Figure 1


Figure 2


 

Input
The first line contain a integer T (T <= 10).Followed by T cases. Each case contain five parts.
The first part: six integers ,H,W,L,K,R,N,(H <= 20 , W <= 20 , L <= 8 , K <= 7 ) means the height of the map , the width of the map , the length of the snake¡¯s body, the number of the magic beans . the number of the relations , the number of the wall respectively.
The second part: L lines , each line contain two integer hi ,wi, indicating the original position of each block of snake's body, from B1(h1,w1) to BL(hL,wL) orderly, where 1<=hi<=H, and 1<=wi<=W,1<=i<=L.
The third part: K lines ,each line contain two integer hi ,wi , indicating the position of each magic bean , from MB1(h1,w1) to MBK(hK,wK) orderly, where 1<=hi<=H, and 1<=wi<=W,1<=i<=K.
The fourth part : R lines , each line contain two integer A ,B means ¡°A is the key bean of B ¡±. The A and B may appear several times , but ¡°one bean will have only one key bean¡±.
The fifth part: N lines , each line contain two integer hi ,wi , indicating the position of each wall , from W1(h1,w1) to WN(hN,wN) orderly, where 1<=hi<=H, and 1<=wi<=W,1<=i<=N.
 

Output
For each case , if the snake could eat all the magic beans , output the minimum step it took. If the snake could not , just output ¡°-1¡± (without the quotation marks) .
 

Sample Input
1 8 9 5 2 1 8 5 2 6 2 6 3 6 4 6 5 4 2 2 6 2 1 2 5 3 5 4 4 4 5 4 6 5 6 5 7 6 7
 

Sample Output
21
 

Author
Teddy
 

Source
 

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