The initialisation step in the loop invariant sets ______ = ______ and ______ = ______ = ______, where L[n1+1] and R[n2+1] are the sentinel values appended to the subarrays, i and... The initialisation step in the loop invariant sets ______ = ______ and ______ = ______ = ______, where L[n1+1] and R[n2+1] are the sentinel values appended to the subarrays, i and j are the indices of the subarrays, and n1 and n2 are the sizes of the subarrays L and R respectively.
Understand the Problem
The question is asking us to fill in the blanks related to the initialisation step in the loop invariant of an algorithm, likely referring to a merge sort or a similar algorithm involving subarrays. It involves understanding how indices and boundaries of the subarrays L and R are set in relation to their sizes n1 and n2.
Answer
i = j = 0 for the loop invariant initialization step.
The initialisation step in the loop invariant sets i = j = 0, where L[n1+1] and R[n2+1] are the sentinel values appended to the subarrays, and n1 and n2 are the sizes of the subarrays L and R respectively.
Answer for screen readers
The initialisation step in the loop invariant sets i = j = 0, where L[n1+1] and R[n2+1] are the sentinel values appended to the subarrays, and n1 and n2 are the sizes of the subarrays L and R respectively.
More Information
In merge algorithms, the loop invariant typically begins by setting the indices to the start of the subarrays being merged, which is often 0.
Tips
A common mistake is not initializing both indices to 0, which might lead to incorrect access of elements in the arrays.
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