|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|5 초||512 MB||4||4||4||100.000%|
You have a radio receiver and want to receive N messages. Each message is transmitted at a predetermined time measured in seconds since the epoch. Also each message is transmitted from a predetermined position representing the displacement in meters from the origin (you are in 1-dimensional space). Your radio is capable of receiving any message that is transmitted no farther than D meters from your current position, where Dis a nonnegative real number.
You can start at any position of your choice and move at the rate of at most one meter per second. The action of receiving a message itself takes no time. Your task is to find the smallest D that allows you to get all messages.
The first line of input gives the number of test cases, C. C test cases follow. For each test case there will be:
For each test case, output one line containing "Case #x: ", where x is the number of the test case, followed by the minimum value D that allows you to get all messages. Answers with a relative or absolute error of at most 10-9 will be considered correct.
3 3 7 2 20 3 0 11 2 6 5 6 3 4 5 3 2 1 9 4 7 2
Case #1: 6 Case #2: 0 Case #3: 2.00
Here is one possible scenario with D = 6 for test case #1. Start at position 13 and time 2 to get message 0. Then walk to the right to position 14, arriving at time 3 to get message 1. Then walk left to position 6, arriving at time 11 to get message 2.