An array A[1 . . n] of integers is a mountain if it consists of an increasing sequence followed by a decreasing sequence, or more precisely, If there is an index m ∈ {1, 2, . . . , n} such that • A[i] < A[i + 1] for all 1 ≤ i < m, and • A[i] > A[i + 1] for all m ≤ i < n. In particular, A[m] is the maximum element, and it is the unique “locally maximum” element surrounded by smaller elements (A[m − 1] and A[m + 1]). Give an algorithm to compute the maximum element of a mountain input array A[1 . . n] in O(log(n)) time.
An array A[1 . . n] of integers is a mountain if it consists of an increasing sequence followed by a decreasing sequence, or more precisely, If there is an index m ∈ {1, 2, . . . , n} such that • A[i] < A[i + 1] for all 1 ≤ i < m, and • A[i] > A[i + 1] for all m ≤ i < n. In particular, A[m] is the maximum element, and it is the unique “locally maximum” element surrounded by smaller elements (A[m − 1] and A[m + 1]). Give an algorithm to compute the maximum element of a mountain input array A[1 . . n] in O(log(n)) time.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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An array A[1 . . n] of integers is a mountain if it consists of an increasing sequence followed by a decreasing sequence, or more precisely,
If there is an index m ∈ {1, 2, . . . , n} such that
• A[i] < A[i + 1] for all 1 ≤ i < m, and
• A[i] > A[i + 1] for all m ≤ i < n.
In particular, A[m] is the maximum element, and it is the unique “locally maximum” element surrounded by smaller elements (A[m − 1] and A[m + 1]).
Give an
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