greedy

Merging intervals is a staple that probes the sort-then-sweep idea. The tell is sorting by start and merging in a single pass, O(n log n). Below is the pattern along with the family of problems it opens up.

Gas Station pays off spotting a greedy invariant that turns O(n²) into O(n). Two facts carry the whole solution: total feasibility, and that a failed prefix lets you skip every start within it.

Jump Game pays off spotting that a greedy reachability scan beats DP. Interviewers look for tracking the farthest reachable index in one pass, and catching the exact moment you fall behind it.

Merging intervals is the entry point to the whole interval family. The trick is sorting by start so overlaps end up next to each other, then collapsing them in one linear sweep. Here is the pattern and the sweep-line generalization behind it.

Kruskal builds a minimum spanning tree by sorting edges and adding the cheapest one that does not form a cycle, using union-find for the cycle check. The signal is the greedy cut property and why disjoint-set is the right tool. Here is the answer.