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Parallel Task Completion Order

Run tasks concurrently with at most k at a time and report the order in which they finish.

Ce que vous allez apprendre

  • Run tasks with a limit on parallelism
  • Simulate time with a priority queue
  • Break ties between tasks that finish together

Problème

Afficher la traduction

With async/await you can start several tasks and let them run at the same time. A SemaphoreSlim often caps how many run at once.

Tasks numbered 0 to n − 1 take durations[i] time units. At time 0 start as many tasks as the limit allows, in index order. Whenever tasks finish, record them (if several finish at the same moment, lower index first) and immediately start the next waiting tasks, in index order, to fill the free slots.

Implement parallel_task_order(durations, limit).

Input

durations: How long each task takes.

limit: The maximum number of tasks running at the same time.

Output

Return the task indices in the order they finish.

Contraintes

1 ≤ n ≤ 100,000

1 ≤ durations[i] ≤ 10^6; 1 ≤ limit ≤ n

Exemples

Exemple 1
Entrée :
limit = 2
durations = [4, 2, 3, 1]

Sortie attendue :
expected = [1, 0, 2, 3]
Entrée :
long long limit = 2;
std::vector<long long> durations = {4, 2, 3, 1};

Sortie attendue :
std::vector<long long> expected = {1, 0, 2, 3};
Entrée :
long limit = 2;
long[] durations = new long[] {4, 2, 3, 1};

Sortie attendue :
long[] expected = new long[] {1, 0, 2, 3};

Explication

Tasks 0 and 1 start. Task 1 ends at 2 and task 2 starts (ends at 5). Task 0 ends at 4 and task 3 starts (ends at 5). Tasks 2 and 3 finish together, lower index first: [1, 0, 2, 3].

Exemple 2
Entrée :
limit = 3
durations = [3, 1, 2]

Sortie attendue :
expected = [1, 2, 0]
Entrée :
long long limit = 3;
std::vector<long long> durations = {3, 1, 2};

Sortie attendue :
std::vector<long long> expected = {1, 2, 0};
Entrée :
long limit = 3;
long[] durations = new long[] {3, 1, 2};

Sortie attendue :
long[] expected = new long[] {1, 2, 0};

Explication

All tasks run at once and finish at 1, 2 and 3: [1, 2, 0].

Comment l'aborder

Essayez d'abord seul, puis ouvrez les indices un par un.

Indice 1

Keep the running tasks ordered by finish time, then by index.

Indice 2

Each step jumps to the next finish time and collects every task ending then.

Indice 3

Refill free slots with the next waiting tasks in index order.

Complexité attendue

O(n log limit) time, O(limit) extra space

Références

Ce défi a été adapté pour CodeUtility. Suivez l'énoncé et les contraintes ci-dessus.

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