Problem: Schedule Tasks on Minimum Machines

med

30 min

Explore how to schedule tasks efficiently on a limited number of machines by using heap data structures. Understand the core approach to assign tasks with overlapping times dynamically, ensuring minimal machine usage while respecting scheduling constraints.

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

med

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