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CustomCC0-1.0#cp-tp3-0162100

Minimal Unique Substring Split

Thinking Mode

Summary

  • •Phase 3 / string-split
  • •Reasoning-first competitive programming drill

Problem Description

Given a string s of length n, split it into the smallest number of contiguous substrings such that each substring is unique (does not appear elsewhere in s). Output the minimum number. How to read this problem in plain language: - This is a Phase 3 reasoning drill focused on string-split. - Typical lenses to test first: string, greedy, hashing. - Constraints reminder: 1 ≤ n≤2e5; lowercase string Mini examples for mental simulation: 1) Boundary example: Describe why this case is tricky. Explain expected behavior and why naive logic may fail. 2) Adversarial example: Adversarial case where naive greedy/local decision looks correct but fails globally. Lite-mode writing target: - Write 1~2 observations that shrink the search space. - Name one final algorithm and state target complexity explicitly. - Validate with at least 2 edge cases and one hand simulation.

Constraints

  • •
    1 ≤ n≤2e5; lowercase string

Analysis

Key Insight

Use this hint to refine your reasoning. This step should reduce search space or formalize correctness. State why this insight changes your algorithm choice.

stringgreedyhashingsuffix-array
stringgreedyhashingsuffix-array