CS502-Midterm
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In Quick Sort Constants hidden in T(n log n) are
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In Heap Sort algorithm, if heap property is violated _________
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We cannot make any significant improvement in the running time which is better than that of brute-force algorithm.
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Algorithm is a mathematical entity, which is independent of a specific machine and operating system.
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The ancient Roman politicians understood an important principle of good algorithm design that is plan-sweep algorithm.
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The sieve technique works in ___________ as follows
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In Heap Sort algorithm, we build _______ for ascending sort.
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The function f(n)=n(logn+1)/2 is asymptotically equivalent to nlog n. Here Lower Bound means function f(n) grows asymptotically at ____________ as fast as nlog n.
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If there are Θ (n2) entries in edit distance matrix then the total running time is
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In selection algorithm, because we eliminate a constant fraction of the array with each phase, we get the
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Heaps can be stored in arrays without using any pointers; this is due to the ____________ nature of the binary tree,
13 / 50
How much time merge sort takes for an array of numbers?
14 / 50
Consider the following code:
For(j=1; j
For(k=1; k<15;k++)
For(l=5; l
{
Do_something_constant();
}
What is the order of execution for this code.
15 / 50
For the worst-case running time analysis, the nested loop structure containing one “for” and one “while” loop, might be expressed as a pair of _________nested summations.
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In ____________ we have to find rank of an element from given input.
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For Chain Matrix Multiplication we can not use divide and conquer approach because,
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Quick sort is based on divide and conquer paradigm; we divide the problem on base of pivot element and:
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Asymptotic growth rate of the function is taken over_________ case running time.
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Slow sorting algorithms run in,
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One Example of in place but not stable sort is
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Before sweeping a vertical line in plane sweep approach, in start sorting of the points is done in increasing order of their _______coordinates.
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One example of in place but not stable algorithm is
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_________ is one of the few problems, where provable lower bounds exist on how fast we can sort.
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Sieve Technique applies to problems where we are interested in finding a single item
from a larger set of _____________
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Floor and ceiling are ____________ to calculate while analyzing algorithms.
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If we associate (x, y) integers pair to cars where x is the speed of the car and y is the negation of the price. High y value for a car means a ________ car.
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Brute-force algorithm uses no intelligence in pruning out decisions.
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In Heap Sort algorithm, the total running time for Heapify procedure is ____________
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In the analysis of Selection algorithm, we make a number of passes, in fact it could be as many as,
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A RAM is an idealized algorithm with takes an infinitely large random-access memory.
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Algorithm is concerned with.......issues.
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Efficient algorithm requires less computational…….
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In pseudo code, the level of details depends on intended audience of the algorithm.w
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For the heap sort we store the tree nodes in
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The function f(n)= n(logn+1)/2 is asymptotically equivalent to n log n. Here Upper Bound means the function f(n) grows asymptotically ____________ faster than n log n.
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The Knapsack problem belongs to the domain of _______________ problems.
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In Sieve Technique we do not know which item is of interest
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How many elements do we eliminate in each time for the Analysis of Selection algorithm?
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Brute-force algorithm for 2D-Maxima is operated by comparing ________ pairs of points.
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44.The running time of an algorithm would not depend upon the optimization by the compiler but that of an implementation of the algorithm would depend on it.
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Which may be a stable sort?
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In analysis, the Upper Bound means the function grows asymptotically no faster than its largest term.
44 / 50
Due to left complete nature of binary tree, the heap can be stored in
45 / 50
An in place sorting algorithm is one that uses ___ arrays for storage
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In RAM model instructions are executed
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Quick sort is best from the perspective of Locality of reference.
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In which order we can sort?
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While Sorting, the ordered domain means for any two input elements x and y _________ satisfies only.
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If the indices passed to merge sort algorithm are ________,then this means that there is only one element to sort.
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