2080 8

Design and Analysis of Algorithms20805 marksNumerical: subset sum backtrackingBacktracking Algorithms

Does backtracking give multiple solution? Trace subset sum algorithm for the set (3, 5, 2, 4, 1) and sum = 8.

Does backtracking give multiple solution? Trace subset sum algorithm for the set $(3, 5, 2, 4, 1)$ and sum = 8. [5]

  • Set $S = {3, 5, 2, 4, 1}$ - Target sum $X = 8$ - Number of elements $n = 5$ Yes. Backtracking systematically explores the entire state-space tree using depth-first search. It does not necessarily halt at the first feasible solution; if we ask for all solutions, it continues exploring every br...
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