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Algorithm problem

RRSchedule

Problem statement, definition, constraints, and public examples.

Problem Statement

When multiple tasks are executed on a single CPU, they are not truly run in parallel. Instead, the CPU spends some time on each task in turn, and a scheduler is used to decide which task to run at any given time. Real-world schedulers are quite complex and must try to balance conflicting priorities.

For the purposes of this problem, we will consider only a simple "round-robin" scheduler. There are N tasks, numbered 0 to N-1. The scheduler runs each task in turn for one second, starting with task 0 and proceeding with tasks 1, 2, ..., N-1, before starting again at 0. Once a task completes executing, the scheduler will skip over that task in the future.

Element i of tasks is the number of seconds of execution time required by task i. Return a int[] containing exactly N integers, where the i-th element is the total time the system has been running when task i completes.

Definition

Class:
RRSchedule
Method:
terminalTimes
Parameters:
int[]
Returns:
int[]
Method signature:
int[] terminalTimes(int[] tasks)
(be sure your method is public)

Constraints

  • tasks will contain between 1 and 50 elements, inclusive.
  • Each element of tasks will be between 1 and 20,000,000, inclusive.

Examples

  1. {2, 1, 2, 4}
    Returns: {5, 2, 6, 9 }
    For the first four seconds, each task gets one turn, and the 2nd task completes after 2 seconds. The next two seconds complete the first and third tasks, and three more seconds are required to complete the fourth task.
  2. {1, 2, 3}
    Returns: {1, 4, 6 }
  3. {3, 2, 2, 1}
    Returns: {8, 6, 7, 4 }
  4. {2, 4, 7, 7, 3, 2, 9, 10, 5, 8, 10, 1, 5, 7, 6, 8, 10, 4, 9, 7, 10, 4, 3, 9}
    Returns: {25, 69, 118, 119, 51, 30, 140, 147, 92, 133, 148, 12, 95, 124, 111, 135, 149, 82, 144, 128, 150, 86, 67, 146 }
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