integers, and x is an integer in the array A, and l and r are indices l ≤ r between which the element x is located in A. The algorithm S returns the index (location) of the element x in the array A. H(A, x, l, r): if l == r: return l else: m = (l+r)//2 # // returns integer component upon division: 7//2=3 if x <= A[m]: return H(A, x, l, m) else: return H(A, x, m+1, r) Derive formally the running time of this algorithm and formally prove the correctness of the running time bound for the worst case, ie. O
integers, and x is an integer in the array A, and l and r are indices l ≤ r between which the element x is located in A. The algorithm S returns the index (location) of the element x in the array A. H(A, x, l, r): if l == r: return l else: m = (l+r)//2 # // returns integer component upon division: 7//2=3 if x <= A[m]: return H(A, x, l, m) else: return H(A, x, m+1, r) Derive formally the running time of this algorithm and formally prove the correctness of the running time bound for the worst case, ie. O
Question
Consider the following algorithm S, in which A represents a sorted array of n integers, and
x is an integer in the array A, and l and r are indices l ≤ r between which the element x is located in A.
The algorithm S returns the index (location) of the element x in the array A.
H(A, x, l, r):
if l == r:
return l
else:
m = (l+r)//2 # // returns integer component upon division: 7//2=3
if x <= A[m]:
return H(A, x, l, m)
else:
return H(A, x, m+1, r)
Derive formally the running time of this algorithm and formally prove the correctness of the running
time bound for the worst case, ie. O()
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, data-structures-and-algorithms and related others by exploring similar questions and additional content below.