Question: Consider the following loop invariant for the while loop: At the beginning of the while loop, we have k = 2 c . Prove that

Consider the following loop invariant for the while
loop: At the beginning of the while loop, we
have k =2c.
Prove that the invariant holds by induction (initializa-
tion & maintenance.)
2. Assuming that the invariant is true, prove that the
invariant implies that the algorithm is correct.
3. What is the run-time complexity of the algorithm?

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