Bit Vector
A bit vector is an array of bits or Booleans used to represent a set of items compactly by mapping each item to a single bit. Bit operations allow fast lookups, unions, and intersections on sets.
Java example:
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C++ example:
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Python example:
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Bit vectors provide a space-efficient representation for sets and enable fast bitwise operations. Useful for problems involving large binary sets.
Bit vector is an efficient data structure that can be used to solve many problems on LeetCode. It is a space-efficient way to store a set of integers. A bit vector can be used to represent a set of integers by using one bit to represent each integer. The bit corresponding to an integer is set to 1 if the integer is in the set, and 0 otherwise.
Bit vector can be used to solve many problems on LeetCode, such as:
- Count the number of elements in a set.
- Check if an integer is in a set.
- Add an integer to a set.
- Remove an integer from a set.
- Union of two sets.
- Intersection of two sets.
- Difference of two sets.
- Complement of a set.
Bit vector is a powerful data structure that can be used to solve many problems on LeetCode.
Bit Vector
A Bit Vector, also known as a Bit Array or BitSet, is an array data structure that compactly stores bits. It can be used to represent a set of integers between 0 and n-1, where n is the size of the Bit Vector. Each bit in the array represents whether a particular integer is present in the set. The key takeaway is that Bit Vectors are space-efficient for sets that contain small numbers and provide fast operations like add, delete, and lookup.
Java Code
Java’s standard library offers a BitSet
class, but for educational purposes, let’s create a simple Bit Vector using an array of integers.
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set(int index)
sets the bit at the given index to 1.get(int index)
checks if the bit at the given index is 1 or 0.
C++ Code
In C++, we can implement a Bit Vector using an array of unsigned integers.
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set(int index)
sets the corresponding bit to 1.get(int index)
retrieves the value of the bit at the given index.
Python Code
Python can handle this with a simple list of integers.
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set(self, index)
turns on the bit at the given index.get(self, index)
checks if the bit at the given index is on or off.
In all these implementations, set
and get
are the core methods, allowing you to manipulate individual bits in a space-efficient manner.