Morris' Blog 我在摸索我存在的意義、生命的意義、內涵及價值。 沒有真正神手般的厲害，套用模式是大部分的情況。 沒那麼厲害的我存在的意義為何，襯托出神的存在？ 有時候不能怪別人不給我機會，我已經開始省思， 為什麼我沒有給別人機會的原因，而是全要靠別人。 有時候我認為我與眾不同，那是因為我做不到很多人能辦到的事情。 我聽不到、玩不起來、說得不夠明瞭、理解得不夠多， 我缺少的語文能力，就是一切一切無能的判定。 為此，我不曉得能做些對別人有幫助的事情。 我知道我自己是個不服輸的性格，但現在我不得不認輸。 我沒有能力，因此我必須認輸。 我到底來這世界作什麼？處處充滿不確定性， 而我總是無法出類拔萃，想當個一般人似乎也回不了頭了。 越強大的挑戰需要越強力的支持，而我的支持是什麼？ 最近嘗試與人談話，但都是失敗的結局，沒人能接受， 不需要言語，不需要溝通，一切所想都表達不出來。

49愛的鼓勵 6訂閱站台

Problem I

Difference

Input: standard input

Output: standard output

Time Limit: 6 seconds

You are given a list of jobs with associated time to complete them. Also are given a list of job dependencies. Your job is to calculate the maximum possible difference among all possible completion time of a particular job. For this problem, job dependency is a bit simpler. When a job depends on several other jobs to be completed, finishing of all of them will allow it to execute. Furthermore, jobs cannot be executed in parallel and there will be no idle moment.

In the above example job-B cannot be started before A and D. So it can be started after 5 days and it must be started after 7 days. Here for job-B, the difference is 2 days.

Input

Input starts with a pair of integers v(1<=v<=500) and e(0<=e<=500) where v represents the number of jobs and e represents the number of dependencies in the dependency list. Following is a line with v integers each indicating the time in days to complete the jobs where the i'th integer denotes the completion time of the i'th job. The jobs are numbered by integers from 1 to v. Next e lines has the form "x y" which means that job x should be completed prior to job y(1 <= x, y <= v). Next line has an integer q which denotes the number of queries to answer which is followed by q integers x (1 <= x <= v). A line with v = e = 0 ends the input session. Every block will be followed by a blank line. There will be no impractical situation (Each job can be completed) in input.

Output

For each query in a block output the result according to the problem description in a separate line. A blank line is essential after every block of data. See the sample output.

Sample Input

Sample Output