3. Unimodal Sequence Given n2 1, a sequence of n integers a[0],. . ., a[n-1] is unimodal if there exists t (with 0 st a[t+1] > . . . > a[n=1] The element a[t] is called the top of the sequence. For...


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3. Unimodal Sequence<br>Given n2 1, a sequence of n integers a[0],. . ., a[n-1] is<br>unimodal if there exists t (with 0 st<n) that satisfies<br>the following conditions:<br>• a[0] <...< a[t-1] < a[t]<br>a[t] > a[t+1] > . . . > a[n=1]<br>The element a[t] is called the top of the sequence.<br>For example, the sequence 1, 3, 5, 9, 4, 1 is unimodal,<br>and its top is 9 (t = 3).<br>Write a function<br>get Toplndex_UnimodelSequence that takes a<br>unimodal sequence & returns the index of the top of<br>the sequence. The solution must have cost O(log(n)) in<br>time in the worst case.<br>

Extracted text: 3. Unimodal Sequence Given n2 1, a sequence of n integers a[0],. . ., a[n-1] is unimodal if there exists t (with 0 st<>< a[t-1]="">< a[t]="" a[t]=""> a[t+1] > . . . > a[n=1] The element a[t] is called the top of the sequence. For example, the sequence 1, 3, 5, 9, 4, 1 is unimodal, and its top is 9 (t = 3). Write a function get Toplndex_UnimodelSequence that takes a unimodal sequence & returns the index of the top of the sequence. The solution must have cost O(log(n)) in time in the worst case.

Jun 10, 2022
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