(30 points) Invariants Let A and B be two one-dimensional arrays of length n of
ID: 3756356 • Letter: #
Question
(30 points) Invariants Let A and B be two one-dimensional arrays of length n of some value type. The following algorithm implements an operation that swaps each of the elements of A with the corresponding element of B.
for i 0 to n 1 do
t B[i]
B[i] A[i]
A[i] t
Give an invariant for the swap operation that captures the work done. Do not use e.g. true as your invariant. Show that your invariant is indeed an invariant.
. (30 points) Invariants Let A and B be two one-dimensional arrays of length n of some value type. The following al gorithm implements an operation that swaps each of the elements of A with the corresponding element of B. tor i 0 to n _ 1 do Give an invariant for the swap operation that captures the work done. Do not use e.g. true as your invariant. Show that your invariant is indeed an invariant.Explanation / Answer
Answer:
In our case we'll be using the subarrays A[0....i-1] and B[0....i-1] as the loop invariants.
Step 1- Initialization :-
Step 2- Maintenance :-
Step 3- Termination :-
Thus the loop invariants used by us are correct as they verify the correctness of the above algorithm.
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