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Undergraduate
By
Shiva Kintali
on May 19, 2013 | Updated Dec. 6, 2017
Counting intersections of chords
Consider \(n\) chords on a circle, each defined by its endpoints. Describe an \(O(n{\log}n)\)-time algorithm to determine the number of pairs of chords that intersect inside the circle. For example, i…
Computer Science
Algorithms
Data Structures
counting
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Undergraduate
By
Shiva Kintali
on May 19, 2013 | Updated Dec. 6, 2017
Reverse a linked list
Design a \(\Theta(n)\)-time nonrecursive algorithm that reverses a singly linked list of \(n\) elements. The algorithm should use no more than constant space beyond that needed for the list itself.
Computer Science
Algorithms
Data Structures
linear time algorithms
linked list
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Undergraduate
By
Shiva Kintali
on May 19, 2013 | Updated Dec. 6, 2017
Randomly built binary search tree
Define a randomly built binary search tree on \(n\) keys as one that arises from inserting the keys in random order into an initially empty tree, where each of the \(n!\) permutations of the input key…
Computer Science
Mathematics
Algorithms
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Probability
binary tree
expectation
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