
ZOJ Problem Set  3794
Edward is a truck driver of a big company. His daily work is driving a truck from one city to another. Recently he got a long distance driving work, so he may be needed to add fuel to his truck on the way. His boss gives him a fuel card, he can use the card anytime at any fuel station and add any amount of fuel. He does not spend any money when he uses the card. He noticed that there are some cities where he could sell fuel. The greedy driver Edward want to make some money while he doing this work. And this is his plan: There are N cities on his map and numbered from 1 to N, he need to drive from city 1 to city N to finish this task. Driving from one city to another need fuel cost too. There are some of the cities has fuel station, he could use his fuel card at these cities. Notice his truck has a fuel tank capacity C and it could not exceed the capacity when add fuel. At the beginning, he is at city 1 and he has a full tank. At some cities he could sell any amount of fuel he has, and the prices at each city maybe different. Since he does not want to be found, he sell the fuel at most once totally. Under the premise of driving to city N finally, he wants to make the maximal money. InputThere are multiple test cases. For each test case: The first line contains three integer N (1 ≤ N ≤ 1000), M (1 ≤ M ≤ 100000), C(1 ≤ C ≤ 30000), N is the number of cities, M is the number of roads, please notice that the roads is singleway, and C is the fuel tank capacity. The after M lines describe the roads, each line has three integers A, B (1 ≤ A, B ≤ N), L (1 ≤ L ≤ 30000). That means the fuel cost from city A to city B is L. Then a single line contain one integer P (0 ≤ P ≤ N), it is the number of cities which has a fuel station. The after single line contains P integers, each integer p_{i} (1 ≤ p_{i} ≤ N) is a city number means this city has a fuel station. Then a single line contain one integer Q (0 ≤ Q ≤ N), it is the number of cities which he could sell fuel. Each of the after Q lines contains two integers q_{i} (1 ≤ q_{i} ≤ N), v_{i} (1 ≤ v_{i} ≤ 30000), means the price at city q_{i} is v_{i}. If he sell one unit of fuel, he will get v_{i} money. There is a blank line between every two cases. Process to the end of input. OutputOne line for each test case. The maximal money he could make while doing this task, or 1 if he could not reach city N. Sample Input5 6 10 1 2 4 1 4 1 4 3 1 2 5 1 4 5 2 3 2 1 1 3 1 2 2 Sample Output16 Author: LI, Huang Source: ZOJ Monthly, June 2014 