Grasp the fundamentals of generating subsets, permutations, and combinations.

Coding

The Subsets pattern is an algorithmic strategy used to generate all possible combinations or subsets of a given set of elements. It typically uses backtracking, bit manipulation, or iterative expansion to explore inclusion and exclusion choices, making it useful for solving problems involving combinations, permutations, and power sets.

Subsets

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Behavioral

# 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:**
* $1 \leq$ `nums.length` $\leq 10$
* $-10 \leq$ `nums[i]` $\leq 10$
* 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


Let's solve the Subsets problem using the Subsets pattern.

Solution: Subsets

Statement

Pattern: Subsets

Solution

Solution: Subsets

Statement

Pattern: Subsets

Solution