CS502 Midterm Online Quiz

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CS502-Midterm

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What is the solution to the recurrence T(n) = T(n/2)+n .

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An algorithm is a mathematical entity that is dependent on a specific programming language.

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In Heap Sort algorithm, if heap property is violated _________

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Counting sort has time complexity:

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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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The array to be sorted is not passed as argument to the merge sort algorithm.

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The analysis of Selection algorithm shows the total running time is indeed ________in n,

8 / 50

For Chain Matrix Multiplication we can not use divide and conquer approach because,

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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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One Example of in place but not stable sort is

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A point p in 2-dimensional space is usually given by its integer coordinate(s)____________

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In Quick sort, we don’t have the control over the sizes of recursive calls

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An in place sorting algorithm is one that uses ___ arrays for storage

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In addition to passing in the array itself to Merge Sort algorithm, we will pass in _________other arguments which are indices.

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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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The running time of quick sort depends heavily on the selection of

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For the sieve technique we solve the problem,

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Slow sorting algorithms run in,

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Algorithm is concerned with.......issues.

20 / 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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For the Sieve Technique we take time

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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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Which may be a stable sort?

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The sieve technique works in ___________ as follows

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Is it possible to sort without making comparisons?

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For the heap sort we store the tree nodes in

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A point p in 2-dimensional space is usually given by its integer coordinate(s)____________

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The Knapsack problem belongs to the domain of _______________ problems.

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______________ graphical representation of algorithm.

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What is the total time to heapify?

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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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Cont sort is suitable to sort the elements in range 1 to k

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For the heap sort, access to nodes involves simple _______________ operations.

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In pseudo code, the level of details depends on intended audience of the algorithm.w

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Heaps can be stored in arrays without using any pointers; this is due to the ____________ nature of the binary tree,

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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 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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In Sieve Technique we do not know which item is of interest

40 / 50

One example of in place but not stable algorithm 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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How much time merge sort takes for an array of numbers?

43 / 50

In Quick Sort Constants hidden in T(n log n) are

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Floor and ceiling are ____________ to calculate while analyzing algorithms.

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_______________ is a graphical representation of an algorithm

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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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Before sweeping a vertical line in plane sweep approach, in start sorting of the points is done in increasing order of their _______coordinates.

48 / 50

For Chain Matrix Multiplication we can not use divide and conquer approach because,

49 / 50

While solving Selection problem, in Sieve technique we partition input data __________w

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In ____________ we have to find rank of an element from given input.

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