CS502-Midterm
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In analysis of f (n) =n (n/5) +n-10 log n, f (n) is asymptotically equivalent to ________.
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For Chain Matrix Multiplication we can not use divide and conquer approach because,
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The sieve technique works in ___________ as follows
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Sorting can be in _________
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For the heap sort, access to nodes involves simple _______________ operations.
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In Sieve Technique we do not know which item is of interest
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In Heap Sort algorithm, we build _______ for ascending sort.
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How many elements do we eliminate in each time for the Analysis of Selection algorithm?
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______________ graphical representation of algorithm.
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Random access machine or RAM is a/an
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How much time merge sort takes for an array of numbers?
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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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15 / 50
One example of in place but not stable algorithm is
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One of the clever aspects of heaps is that they can be stored in arrays without using any _______________.
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Brute-force algorithm uses no intelligence in pruning out decisions.
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What is the solution to the recurrence T(n) = T(n/2)+n .
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What type of instructions Random Access Machine (RAM) can execute?
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The O-notation is used to state only the asymptotic ________bounds.
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The sieve technique is a special case, where the number of sub problems is just
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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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Efficient algorithm requires less computational…….
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Analysis of Selection algorithm ends up with,
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In analysis, the Upper Bound means the function grows asymptotically no faster than its largest term.
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A RAM is an idealized algorithm with takes an infinitely large random-access memory.
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Algorithm is a mathematical entity, which is independent of a specific machine and operating system.
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Upper bound requires that there exist positive constants c2 and n0 such that f(n) ____ c2n for all n <= n0(ye question ghalat lag raha hai mujhae
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Floor and ceiling are ____________ to calculate while analyzing algorithms.
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If there are Θ (n2) entries in edit distance matrix then the total running time is
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One Example of in place but not stable sort is
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Is it possible to sort without making comparisons?
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What is the total time to heapify?
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In Heap Sort algorithm, the maximum levels an element can move upward 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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In plane sweep approach, a vertical line is swept across the 2d-plane and _______structure is used for holding the maximal points lying to the left of the sweep line.
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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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40 / 50
The number of nodes in a complete binary tree of height h is
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When we call heapify then at each level the comparison performed takes time
42 / 50
In analysis, the Lower Bound means the function grows asymptotically at least as fast as its largest term.
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The reason for introducing Sieve Technique algorithm is that it illustrates a very important special case of,
44 / 50
Due to left complete nature of binary tree, the heap can be stored in
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In pseudo code, the level of details depends on intended audience of the algorithm.w
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Which sorting algorithm is faster
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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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_________ is one of the few problems, where provable lower bounds exist on how fast we can sort.
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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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In RAM model instructions are executed
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