Show the resulting array from running Union Find with Weighted Union on the following pairs: (0,1) (7,6) (8,9) (3,2) (1,3) (12,5) (1,5) (4,7) (4,9) (10,11) (11,4) (5,11) 2. Show the resulting array from running Union Find with Path Compression on the above pairs. In my code, when two components of the same size are unioned, the representative of the second component will point at the the representative of the first component.  You must use that version.

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A:

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Disjoint set forest

The concept of the disjoint set forest was introduced by Bernard A. Galler and Michael J. Fischer in 1964. The disjoint set forest is a method of implementing disjoint sets quickly. In the disjoint-set forest, each tree member points only to its parent. The root of every tree includes its representative and its parent. The disjoint set forest is a special kind of forest that performs Union and Find operations in near-constant amortized time.