Problem
Solution
Submissions
All Possible Subsets
Certification: Intermediate Level
Accuracy: 0%
Submissions: 0
Points: 10
Write a C program to generate all possible subsets of a set of distinct integers. The solution should return the subsets in any order.
Example 1
- Input: nums[] = {1, 2, 3}
- Output: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
- Explanation:
- Step 1: For the set {1, 2, 3}, we generate all possible subsets.
- Step 2: The empty set {} is always a subset.
- Step 3: Single element subsets: {1}, {2}, {3}
- Step 4: Two element subsets: {1, 2}, {1, 3}, {2, 3}
- Step 5: Three element subset: {1, 2, 3}
- Step 6: Therefore, there are 2^3 = 8 possible subsets.
Example 2
- Input: nums[] = {0}
- Output: {{}, {0}}
- Explanation:
- Step 1: For the set {0}, we generate all possible subsets.
- Step 2: The empty set {} is always a subset.
- Step 3: The only other subset is {0} itself.
- Step 4: Therefore, there are 2^1 = 2 possible subsets.
Constraints
- 1 <= nums.length <= 10
- -10 <= nums[i] <= 10
- All numbers in the input array are unique
- Time Complexity: O(2^n * n), where n is the length of the input array
- Space Complexity: O(2^n * n) for storing all subsets
Editorial
My Submissions
All Solutions
| Lang | Status | Date | Code |
|---|---|---|---|
| You do not have any submissions for this problem. | |||
| User | Lang | Status | Date | Code |
|---|---|---|---|---|
| No submissions found. | ||||
Solution Hints
- For a set of size n, there are 2^n possible subsets.
- Each element in the set can either be included or excluded in a subset.
- Use a bit manipulation approach where each bit position corresponds to an element's inclusion/exclusion.
- Alternatively, use a backtracking approach to build subsets incrementally.
- The power set property states that a set with n elements has 2^n subsets.