CS502-Midterm
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For small values of n, any algorithm is fast enough. Running time does become an issue when n gets large.
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Cont sort is suitable to sort the elements in range 1 to k
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Analysis of Selection algorithm ends up with,
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For the heap sort we store the tree nodes in
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Which may be stable sort:
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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 number of nodes in a complete binary tree of height h is
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In 2d-space a point is said to be ________if it is not dominated by any other point in that space.
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In Sieve Technique we do not know which item is of interest
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Sorting is one of the few problems where provable ________ bonds exits on how fast we can sort,
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_______________ is a graphical representation of an algorithm
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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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In Quick sort, we don’t have the control over the sizes of recursive calls
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Divide-and-conquer as breaking the problem into a small number of
15 / 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.
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Is it possible to sort without making comparisons?
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While solving Selection problem, in Sieve technique we partition input data __________w
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A RAM is an idealized algorithm with takes an infinitely large random-access memory.
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The O-notation is used to state only the asymptotic ________bounds.
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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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The reason for introducing Sieve Technique algorithm is that it illustrates a very important special case of,
22 / 50
Counting sort has time complexity:
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In Quick Sort Constants hidden in T(n log n) are
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In analysis, the Lower Bound means the function grows asymptotically at least as fast as its largest term.
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For the heap sort, access to nodes involves simple _______________ operations.
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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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Sorting can be in _________
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Brute-force algorithm for 2D-Maxima is operated by comparing ________ pairs of points.
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After sorting in merge sort algorithm, merging process is invoked.
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How much time merge sort takes for an array of numbers?
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Random access machine or RAM is a/an
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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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In which order we can sort?
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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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A (an) _________ is a left-complete binary tree that conforms to the heap order
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______________ graphical representation of algorithm.
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Efficient algorithm requires less computational…….
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An algorithm is a mathematical entity that is dependent on a specific programming language.
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In analysis, the Upper Bound means the function grows asymptotically no faster than its largest term.
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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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In Heap Sort algorithm, we build _______ for ascending sort.
43 / 50
In the analysis of Selection algorithm, we make a number of passes, in fact it could be as many as,
44 / 50
In the analysis of Selection algorithm, we eliminate a constant fraction of the array with each phase; we get the convergent _______________ series in the analysis,
45 / 50
What type of instructions Random Access Machine (RAM) can execute?
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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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If there are Θ (n2) entries in edit distance matrix then the total running time is
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F (n) and g (n) are asymptotically equivalent. This means that they have essentially the same __________ for large n.
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In Heap Sort algorithm, the maximum levels an element can move upward is _________
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