 7.7.1: Sort the sequence 3, 1, 4, 1, 5, 9, 2, 6, 5 using insertion sort
 7.7.2: What is the running time of insertion sort if all elements are equal?
 7.7.3: Suppose we exchange elements a[i] and a[i+k], which were originally...
 7.7.4: Show the result of running Shellsort on the input 9, 8, 7, 6, 5, 4,...
 7.7.5: a. What is the running time of Shellsort using the twoincrement se...
 7.7.6: a. Prove that the running time of Shellsort is (N2) using increment...
 7.7.7: Prove that if a ksorted file is then hsorted, it remains ksorted.
 7.7.8: Prove that the running time of Shellsort, using the increment seque...
 7.7.9: Determine the running time of Shellsort fora. sorted inputb. revers...
 7.7.10: Do either of the following modifications to the Shellsort routine c...
 7.7.11: Show how heapsort processes the input 142, 543, 123, 65, 453, 879, ...
 7.7.12: What is the running time of heapsort for presorted input?
 7.7.13: Show that there are inputs that force every percolateDown in heapso...
 7.7.14: 4 Rewrite heapsort so that it sorts only items that are in the rang...
 7.7.15: Sort 3, 1, 4, 1, 5, 9, 2, 6 using mergesort
 7.7.16: How would you implement mergesort without using recursion?
 7.7.17: 7 Determine the running time of mergesort fora. sorted inputb. reve...
 7.7.18: In the analysis of mergesort, constants have been disregarded. Prov...
 7.7.19: Sort 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5 using quicksort with medianof...
 7.7.20: Using the quicksort implementation in this chapter, determine the r...
 7.7.21: Repeat Exercise 7.20 when the pivot is chosen asa. the first elemen...
 7.7.22: a. For the quicksort implementation in this chapter, what is the ru...
 7.7.23: Suppose we choose the element in the middle position of the array a...
 7.7.24: Construct a permutation of 20 elements that is as bad as possible f...
 7.7.25: The quicksort in the text uses two recursive calls. Remove one of t...
 7.7.26: Continuing from Exercise 7.25, after part (a),a. Perform a test so ...
 7.7.27: Suppose the recursive quicksort receives an int parameter, depth, f...
 7.7.28: When implementing quicksort, if the array contains lots of duplicat...
 7.7.29: Write a program to implement the selection algorithm.
 7.7.30: Solve the following recurrence:T(N) = (1/N)N1i=0T(i)+ cN, T(0) = 0.
 7.7.31: A sorting algorithm is stable if elements with equal keys are left ...
 7.7.32: Suppose you are given a sorted list of N elements followed by f(N) ...
 7.7.33: Prove that any algorithm that finds an element X in a sorted list o...
 7.7.34: Using Stirlings formula, N! (N/e)N2N, give a precise estimate for l...
 7.7.35: a. In how many ways can two sorted arrays of N elements be merged? ...
 7.7.36: Prove that merging two sorted arrays of N items requires at least 2...
 7.7.37: Consider the following algorithm for sorting six numbers: Sort the ...
 7.7.38: Write a program that reads N points in a plane and outputs any grou...
 7.7.39: Show that the two smallest elements among N can be found in N + log...
 7.7.40: The following divideandconquer algorithm is proposed for finding ...
 7.7.41: Suppose we want to partition N items into G equalsized groups of s...
 7.7.42: Give a lineartime algorithm to sort N fractions, each of whose num...
 7.7.43: Suppose arrays A and B are both sorted and both contain N elements....
 7.7.44: Suppose you have an array of N elements containing only two distinc...
 7.7.45: Suppose you have an array of N elements, containing three distinct ...
 7.7.46: a. Prove that any comparisonbased algorithm to sort 4 elements req...
 7.7.47: a. Prove that 7 comparisons are required to sort 5 elements using a...
 7.7.48: Write an efficient version of Shellsort and compare performance whe...
 7.7.49: Implement an optimized version of quicksort and experiment with com...
 7.7.50: Write a routine that reads in two alphabetized files and merges the...
 7.7.51: Suppose we implement the median of three routine as follows: Find t...
 7.7.52: Prove that any comparisonbased sorting algorithm requires (N logN)...
 7.7.53: We are given an array that contains N numbers. We want to determine...
 7.7.54: Repeat Exercise 7.53 for four numbers. Try to design an O(N2 logN) ...
 7.7.55: Repeat Exercise 7.53 for three numbers. Try to design an O(N2) algo...
 7.7.56: Consider the following strategy for percolateDown. We have a hole a...
 7.7.57: Propose an algorithm to sort a large file using only two tapes.
 7.7.58: a. Show that a lower bound of N!/22N on the number of heaps is impl...
 7.7.59: M is an NbyN matrix in which the entries in each rows are in incr...
 7.7.60: There is a prize hidden in a box; the value of the prize is a posit...
Solutions for Chapter 7: Sorting
Full solutions for Data Structures and Algorithm Analysis in Java  3rd Edition
ISBN: 9780132576277
Solutions for Chapter 7: Sorting
Get Full SolutionsChapter 7: Sorting includes 60 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 60 problems in chapter 7: Sorting have been answered, more than 6806 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Data Structures and Algorithm Analysis in Java, edition: 3. Data Structures and Algorithm Analysis in Java was written by and is associated to the ISBN: 9780132576277.

Conditional instability
Moist air with a lapse rate between the dry and wet adiabatic rates.

Conglomerate
A sedimentary rock composed of rounded, gravelsize particles.

Crystal shape
See Habit.

Daily mean
The mean temperature for a day that is determined by averaging the 24 hourly readings or, more commonly, by averaging the maximum and minimum temperatures for a day.

Filaments
Dark, thin streaks that appear across the bright solar disk.

Hardness
The resistance a mineral offers to scratching.

Intertidal zone
The area where land and sea meet and overlap; the zone between high and low tides.

Loess
Deposits of windblown silt, lacking visible layers, generally buffcolored, and capable of maintaining a nearly vertical cliff.

Maritime (m) air mass
An air mass that originates over the ocean. These air masses are relatively humid.

Mixed tidal pattern
A tidal pattern exhibiting two high tides and two low tides per tidal day with a large inequality in high water heights, low water heights, or both. Coastal locations that experience such a tidal pattern may also show alternating periods of diurnal and semidiurnal tidal patterns. Also called mixed semidiurnal.

Modified
Mercalli intensity scale A 12point scale developed to evaluate earthquake intensity based on the amount of damage to various structures.

Period
A basic unit of the geologic calendar that is a subdivision of an era. Periods may be divided into smaller units called epochs.

Pluton
A structure that results from the emplacement and crystallization of magma beneath the surface of Earth.

Radio telescope
A telescope designed to make observations in radio wavelengths.

Rapids
A part of a stream channel in which the water suddenly begins flowing more swiftly and turbulently because of an abrupt steepening of the gradient.

Reflection
The process whereby light bounces back from an object at the same angle at which it encounters a surface and with the same intensity.

Supergiant
A very large star of high luminosity.

Valley train
A relatively narrow body of stratified drift deposited on a valley floor by meltwater streams that issue from a valley glacier.

Vein deposit
A mineral filling a fracture or fault in a host rock. Such deposits have a sheetlike, or tabular, form.

Weathering
The disintegration and decomposition of rock at or near Earthâ€™s surface.