Compute maximum non-overlapping meetings
Problem Description
You are given a list of meeting time intervals for a single person. Each meeting is represented by a pair of integers [start_i, end_i], where 0 <= start_i < end_i. All times are in the same unit.
You can attend at most one meeting at any given time, and if you choose to attend a meeting, you must do so for its entire duration. Meetings that touch at a boundary (e.g., one ends at time t and another starts at time t) are considered non-overlapping and can both be attended.
Your task is to write a function that, given this list of intervals, returns the maximum number of meetings you can attend by selecting a subset of non-overlapping intervals.
Constraints
- The number of meetings
nis between 1 and 2 * 10^5. - The absolute values of
start_iandend_iare at most 10^9.
Deliverable
Clarify the algorithmic problem and return the maximum count of meetings. Detailed implementation specifics are not required, but the approach should be clearly articulated.
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Core dilemma
Identifying and proving the optimal greedy strategy for selecting the maximum number of non-overlapping activities, ensuring local choices lead to a global optimum.
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Compute maximum non-overlapping meetings
Problem Description
You are given a list of meeting time intervals for a single person. Each meeting is represented by a pair of integers [start_i, end_i], where 0 <= start_i < end_i. All times are in the same unit.
You can attend at most one meeting at any given time, and if you choose to attend a meeting, you must do so for its entire duration. Meetings that touch at a boundary (e.g., one ends at time t and another starts at time t) are considered non-overlapping and can both be attended.
Your task is to write a function that, given this list of intervals, returns the maximum number of meetings you can attend by selecting a subset of non-overlapping intervals.
Constraints
- The number of meetings
nis between 1 and 2 * 10^5. - The absolute values of
start_iandend_iare at most 10^9.
Deliverable
Clarify the algorithmic problem and return the maximum count of meetings. Detailed implementation specifics are not required, but the approach should be clearly articulated.