Data Structures Algorithms-II MCQs

Page No. 104

Kadane’s algorithm uses which of the following techniques?


aDivide and conquer


bDynamic programming


cRecursion


dGreedy algorithm


View Answer Dynamic programming

Kadane’s algorithm is used to find ____________


aLongest increasing subsequence


bLongest palindrome subsequence


cLongest palindrome subsequence


dLongest decreasing subsequence



In the brute force implementation to find the longest increasing subsequence, all the subsequences of a given sequence are found. All the increasing subsequences are then selected and the length of the longest subsequence is found. What is the time complexity of this brute force implementation?


aO(n)


bO(n2)


cO(n!)


dO(2n)


View Answer O(2n)

The number of increasing subsequences with the longest length for the given sequence are: {10, 9, 8, 7, 6, 5}


a3


b4


c5


d6


View Answer 6

For any given sequence, there will ALWAYS be a unique increasing subsequence with the longest length.


aTrue


bFalse


ceither A. or B.


d None of these


View Answer False

Find the length of the longest increasing subsequence for the given sequence: {-10, 24, -9, 35, -21, 55, -41, 76, 84}


a5


b4


c3


d6


View Answer 6

Find the longest increasing subsequence for the given sequence:{10, -10, 12, 9, 10, 15, 13, 14}


a{10, 12, 15}


b{10, 12, 13, 14}


c{-10, 12, 13, 14}


d{-10, 9, 10, 13, 14}


View Answer {-10, 9, 10, 13, 14}

The longest increasing subsequence problem is a problem to find the length of a subsequence from a sequence of array elements such that the subsequence is sorted in increasing order and it’s length is maximum. This problem can be solved using __________


aRecursion


bDynamic programming


cBrute force


dRecursion, Dynamic programming, Brute force



For every rod cutting problem there will be a unique set of pieces that give the maximum price.


aTrue


bFalse


ceither A. or B.


d None of these


View Answer False

Consider the brute force implementation of the rod cutting problem in which all the possible cuts are found and the maximum value is calculated. What is the time complexity of this brute force implementation?


aO(n2)


bO(n3)


cO(nlogn)


dO(2n)


View Answer O(2n)

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