Solution: Subsets
Let's solve the Subsets problem using the Subsets pattern.
Statement
Given an array of integers, nums
, find all possible subsets of nums
, including the empty set.
Note: The solution set must not contain duplicate subsets. You can return the solution in any order.
Constraints:
-
nums.length
-
nums[i]
- All the numbers of
nums
are unique.
Pattern: Subsets
Problems such as this one, where we need to find all possible subsets of a given set, can be efficiently solved using the subsets pattern. This pattern involves generating all possible subsets of a given set by using binary representations of indices to represent which elements should be included in each subset. This approach allows us to solve a wide range of problems that involve generating all possible subsets of a set.
Solution
The idea is to generate binary numbers from to . The number of bits in the binary numbers will equal nums.length
. These integers will be added to the subset whose corresponding bits are set to in the binary number.
Note: The ordering of bits for picking integers from the set doesn’t matter. We can pick integers from left to right and produce the same output as picking integers from right to left.
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