Consider the problem of maintaining a collection of lists of items on which the following operations...
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Consider the problem of maintaining a collection of lists of items on which the following operations can be performed: (i) Create a new list with one item. (ii) Given two lists L₁ and L2, form their concatenation L, i.e., the list consisting of all items in L₁ followed by all items in L2 (destroying L₁ and L2 in the process). (iii) Given a list L and a positive integer k, split L into two lists L₁ and L2, where L₁ consists of the first k items of L, and L2 the rest (L is destroyed in the process). (iv) Given a list L and a positive integer k, report the kth item in L. Describe data structures and algorithms supporting these operations so that operation (i) takes constant time, and operations (ii)-(iv) can be performed in time O(log n) (where n is the length of L). Consider the problem of maintaining a collection of lists of items on which the following operations can be performed: (i) Create a new list with one item. (ii) Given two lists L₁ and L2, form their concatenation L, i.e., the list consisting of all items in L₁ followed by all items in L2 (destroying L₁ and L2 in the process). (iii) Given a list L and a positive integer k, split L into two lists L₁ and L2, where L₁ consists of the first k items of L, and L2 the rest (L is destroyed in the process). (iv) Given a list L and a positive integer k, report the kth item in L. Describe data structures and algorithms supporting these operations so that operation (i) takes constant time, and operations (ii)-(iv) can be performed in time O(log n) (where n is the length of L).
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Marketing Research
ISBN: 978-1118156636
11th edition
Authors: David A. Aaker, V. Kumar, Robert Leone, George S. Day
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