Will the backtracking algorithm work correctly if we use, Basic Computer Science

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Will the backtracking algorithm work correctly if we use

1. Generate all permutations of {1, 2, 3, 4} by backtracking.

2. a. Apply backtracking to solve the following instance of the subset sum problem: A = {1, 3, 4, 5} and d = 11.

b. Will the backtracking algorithm work correctly if we use just one of the two inequalities to terminate a node as nonpromising?

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