Why it matters

Job sequencing is classic greedy variant. Understanding shapes scheduling.

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The architecture

Sort jobs by profit desc.

Assign each to latest free slot before deadline.

Skip if impossible.

Job sequencing flowSort by profitdescendingLatest free slotbefore deadlineSkip if noneor take profitUnion-Find speeds slot search from O(n^2) to O(n alpha(n))
Job sequencing.
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How it works end to end

Naive O(n^2).

Union-Find: O(n alpha(n)) for slot search.

Assign latest, not earliest.