Data Structures19 sections · 729 units
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Segment Tree vs BIT

When to use which

Binary Indexed Trees (BIT/Fenwick Trees) also support range queries and updates.

When to use each? Use BIT when:

  • Only need prefix queries (sum from 0 to i)
  • Need simpler, faster implementation
  • Memory is tight (BIT uses exactly nn space)
  • Operation is invertible (sum, XOR, but not min/max)

Use Segment Tree when:

  • Need arbitrary range queries (not prefix)
  • Need range updates with lazy propagation
  • Operation is not invertible (min, max, GCD)
  • Need more complex query types (count, frequency)

BIT is 2-3x faster in practice for prefix queries.

But segment trees are more versatile. Learn both. Use BIT when you can, segment tree when you must.