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CustomCC0-1.0#cp0111700

Bitwise Subsequence Shift Sum

Thinking Mode

Summary

  • •Phase 5 / dp, bitwise, LIS
  • •Reasoning-first competitive programming drill

Problem Description

Given an array of n integers, for each i (1 ≤ i≤n), find the length of the longest increasing subsequence where each element is a bitwise shift (left or right) of the previous. How to read this problem in plain language: - This is a Phase 5 reasoning drill focused on dp, bitwise, LIS. - Typical lenses to test first: bitwise, dp, subsequence. - Constraints reminder: 1 ≤ n≤1e5; 0 ≤ Ai​<230 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≤1e5; 0 ≤ Ai​<230

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.

bitwisedpsubsequence
bitwisedpsubsequence