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For each of the trees in Exercise 24.1: perform a find operation with path compression on the deepest node. Exercise 24.1 Show the result of the following sequence of instructions: union (I ? 2), iinion(3, 4), union(3, 5): union(1: 7): union(3, 6). union(8, 9). union( 1, 8), union(3, I O)? urzion(3? 1 1 ), iinion(3, 12), union(3. 13), union( 14, 15), union( 16, O), uniorz(l4, 16). union( I, 3), and union( I. 14) when the union operations are performed a. arbitrarily. b. by height. c. by size.

For each of the trees in Exercise 24.1: perform a find operation with path compression on the deepest node.

Exercise 24.1

Show the result of the following sequence of instructions: union (I ? 2), iinion(3, 4), union(3, 5): union(1: 7): union(3, 6). union(8, 9). union( 1, 8), union(3, I O)? urzion(3? 1 1 ), iinion(3, 12), union(3. 13), union( 14, 15), union( 16, O), uniorz(l4, 16). union( I, 3), and union( I. 14) when the union operations are performed

a. arbitrarily.

b. by height.

c. by size.

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