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Backtracking

Permutations II (with duplicates)

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Permutations II (with duplicates)** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** Sort + skip if nums[i]==nums[i-1] and prev not used **Edge Cases to Consider:** - (1) All same elements - (2) No duplicates - (3) Large array with many repeats

Examples

Example 1
Input: [1,1,2]
Output: [[1,1,2],[1,2,1],[2,1,1]]
Explanation: 3 unique
Example 2
Input: [1,2,3]
Output: All 6 permutations
Explanation: No dups
Example 3
Input: [1,1,1]
Output: [[1,1,1]]
Explanation: Single

Constraints

  • ▪Input arguments are within valid ranges
  • ▪Optimize for execution speed
  • ▪Handle null/empty inputs gracefully

Watch Out For Edge Cases

  • ▪All same elements
  • ▪No duplicates
  • ▪Large array with many repeats
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