How do you solve Binary String With Substrings Representing 1 To N on LeetCode?

Binary String With Substrings Representing 1 To N (LeetCode #1016) can be solved using Brute Force or Optimal Solution. The optimal approach is Optimal Solution with O(n + m), where m is the number of unique binary representations. time complexity and O(n) space complexity. Key insight: We only need to check binary representations up to 30 bits due to the limit of n.

What is the time complexity of Binary String With Substrings Representing 1 To N?

The optimal solution for Binary String With Substrings Representing 1 To N runs in O(n + m), where m is the number of unique binary representations. time and uses O(n) space. The time complexity is O(n + m) because we generate binary strings for numbers up to n and check them against s. The space complexity is O(n) due to storing binary representations.

What is the brute force solution for Binary String With Substrings Representing 1 To N?

The brute force approach for Binary String With Substrings Representing 1 To N is Brute Force, with O(n * m), where m is the average length of binary representations (up to 30). time complexity and O(1) space complexity. The brute-force approach involves generating all binary representations of numbers from 1 to n and checking if each representation is a substring of the given binary string s. This is straightforward but inefficient for larger values of n. The optimal Optimal Solution approach improves this to O(n + m), where m is the number of unique binary representations..

What algorithm or data structure is used to solve Binary String With Substrings Representing 1 To N?

Binary String With Substrings Representing 1 To N uses the following concepts: Hash Table, String, Bit Manipulation, Sliding Window. The recommended patterns to study are: Hash Map, Array.

What are the interview tips for Binary String With Substrings Representing 1 To N?

Always clarify the constraints and edge cases before diving into coding. Think about the efficiency of your approach; can you reduce the number of checks? Practice converting numbers to binary and understanding substring checks.

What are common mistakes when solving Binary String With Substrings Representing 1 To N?

Not considering the maximum bit length for n and checking unnecessarily long binary strings. Forgetting to convert integers to binary correctly.

#1016

Binary String With Substrings Representing 1 To N

Medium

Hash TableStringBit ManipulationSliding WindowHash MapArray

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Approaches

Brute ForceOptimal

Complexity Comparison

	Brute Force	Optimal Solution★
Time	O(n * m), where m is the average length of binary representations (up to 30).	O(n + m), where m is the number of unique binary representations.
Space	O(1)	O(n)

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Intuition

Time O(n + m), where m is the number of unique binary representations.Space O(n)

The optimal approach leverages the fact that we only need to check binary representations up to 30 bits. We can use a set to store these representations and check them against the string s efficiently.

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Algorithm

4 steps

1Step 1: Create a set to store binary representations of numbers from 1 to n.
2Step 2: Loop through numbers from 1 to n and add their binary representations to the set.
3Step 3: For each binary representation, check if it exists in the string s.
4Step 4: If all representations are found, return true; otherwise, return false.

solution.py5 lines

1# Full working Python code
2
3def queryString(s, n):
4    binaries = {bin(i)[2:] for i in range(1, n + 1)}
5    return all(b in s for b in binaries)

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Complexity note: The time complexity is O(n + m) because we generate binary strings for numbers up to n and check them against s. The space complexity is O(n) due to storing binary representations.

1We only need to check binary representations up to 30 bits due to the limit of n.
2Using a set for storing binary representations allows for efficient membership checking.

Solutions and explanations are original Tejav content. Problem titles © LeetCode — use the LeetCode button above for the full problem statement.