Problem: Schedule Tasks on Minimum Machines

Medium

30 min

Explore how to determine the minimum number of machines required to schedule tasks with given start and end times. Understand using heaps to manage overlapping tasks, ensuring no two tasks run simultaneously on the same machine. Practice this common scheduling pattern to improve your coding interview skills.

Statement

We are given an input array, tasks, where tasks[i] $= [start_i, end_i]$ represents the start and end times of $n$ tasks. Our goal is to schedule these tasks on machines given the following criteria:

A machine can execute only one task at a time.
A machine can begin executing a new task immediately after completing the previous one.
An unlimited number of machines are available.

Find the minimum number of machines required to complete these $n$ tasks.

Constraints:

$n ==$ tasks.length
$1 \leq$ tasks.length $\leq 10^3$
$0 \leq$ tasks_i.start $<$ tasks_i.end $\leq 10^4$

Problem: Schedule Tasks on Minimum Machines

Medium

30 min

Statement

A machine can execute only one task at a time.
A machine can begin executing a new task immediately after completing the previous one.
An unlimited number of machines are available.

Find the minimum number of machines required to complete these $n$ tasks.

Constraints:

$n ==$ tasks.length
$1 \leq$ tasks.length $\leq 10^3$
$0 \leq$ tasks_i.start $<$ tasks_i.end $\leq 10^4$

Problem: Schedule Tasks on Minimum Machines

Statement

Examples

Understand the problem

Figure it out!

Try it yourself

Problem: Schedule Tasks on Minimum Machines

Statement

Examples

Understand the problem

Figure it out!

Try it yourself