Heap Patterns and Applications Resource - aloalgo

Heap Patterns and Applications

Heaps are essential for problems involving finding extremes, merging sorted data, or processing by priority.

Pattern 1: Top K Elements

Find the K largest or K smallest elements.

Pattern 2: Kth Largest Element

Find the Kth largest element without sorting the entire array.

Pattern 3: Merge K Sorted Lists

Efficiently merge multiple sorted lists using a heap.

Pattern 4: Running Median

Find the median as elements are added to a stream.

Pattern 5: Task Scheduling

Process tasks based on priority or deadline.

Pattern 6: Closest Points

Find K points closest to the origin.

When to Use a Heap

  • Keywords: "K largest", "K smallest", "Kth element", "top K"
  • Keywords: "merge sorted", "median", "priority"
  • Pattern: Need repeated access to min/max while adding elements
  • Pattern: Process items in sorted order from multiple sources
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