You are given an array of integers `arr` and an integer `k`. Develop a system to find all unique sequences of length `k` that can be formed from the given array, ensuring that each sequence contains distinct integers. The system should handle a large number of input arrays efficiently.
Explanation: The output contains all unique sequences of length 2 that can be formed from the given array [1, 2, 3].
Analyze constraints and compute optimal solutions step-by-step.
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