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bit manipulation driven solution strategy Pattern

Pattern hubs are for building transferable solving frames. Learn the recognition signals first, then drill state definition, update rules, and edge explanation until the pattern feels stable.

database11 problemstune8/3/0 difficulty mixcategory1 linked topics

Pattern brief

Recognize first

They want you to notice that iterating from left to right is the wrong model once the interval gets large.

Solve rhythm

State the active state and invariant first, explain how each update preserves them, then pressure-test with counterexamples.

Most common miss

Looping through every number in the range times out conceptually and misses the actual Bit Manipulation pattern.

Recognition signals

  • They want you to notice that iterating from left to right is the wrong model once the interval gets large.
  • They expect you to explain why differing lower bits vanish, not just recite a shift loop.
  • Look for a candidate’s understanding of bitwise operations like XOR.

Solve flow

  1. 1. Define the active state/window.
  2. 2. Update state while preserving invariants.
  3. 3. Validate with edge-heavy examples.

Common misses

  • Looping through every number in the range times out conceptually and misses the actual Bit Manipulation pattern.
  • Candidates may use inefficient methods such as converting integers to binary strings and counting differences, which is slower.
  • Forgetting to handle edge cases like when `num` is a single bit (i.e., 1 or 0).

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    bit manipulation driven solution strategy pattern bank

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    Showing 11 / 11 problems

    #TitleDifficulty
    201

    Bitwise AND of Numbers Range

    Use shared high bits and bit clearing to solve Bitwise AND of Numbers Range without scanning every value.

    Medium
    461

    Hamming Distance

    Calculate the Hamming distance between two integers by counting differing bit positions.

    Easy
    476

    Number Complement

    The Number Complement problem requires flipping bits in a number’s binary representation to return its complement.

    Easy
    693

    Binary Number with Alternating Bits

    Check whether a given integer has alternating bits using a bit manipulation approach.

    Easy
    868

    Binary Gap

    Find the maximum distance between consecutive 1's in a number's binary form using precise bit manipulation techniques.

    Easy
    1009

    Complement of Base 10 Integer

    In this problem, you need to return the complement of a given integer by flipping its binary digits.

    Easy
    1318

    Minimum Flips to Make a OR b Equal to c

    Determine the minimum number of bit flips required in two integers so that their OR equals a target integer efficiently.

    Medium
    2220

    Minimum Bit Flips to Convert Number

    Determine the minimum number of bit flips required to convert one integer to another using precise bit manipulation.

    Easy
    2595

    Number of Even and Odd Bits

    Count the number of 1s at even and odd indices in the binary representation of a given integer n.

    Easy
    3133

    Minimum Array End

    Construct an array where elements are greater than the previous one, and the bitwise AND of all elements equals a given …

    Medium
    3226

    Number of Bit Changes to Make Two Integers Equal

    Find the number of bit changes to make two integers equal using bit manipulation techniques.

    Easy

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    Bit Manipulation-driven solution strategy LeetCode Pattern: 11 Solutions