Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 2, Problem 4P
(a)
Program Plan Intro
To list the five inversions of the array
(b)
Program Plan Intro
To find the most inversions from the set
(c)
Program Plan Intro
To find the relation between the running time of the insertion sort and the number of inversions in the input array.
(d)
Program Plan Intro
To describe an
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an array of meeting time intervals consisting ofstart and end times [[s1,e1],[s2,e2],...] (si < ei),determine if a person could attend all meetings.
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Number of times you need to assign a value (let say -1) to all elements of a 4-demnsional array A[k, l, m, n] (to initialize it) can be expressed mathematically as product of sets cardinalities
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Write pseudo code for bubble sort and dry run that pseudo code for an array with elements.
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Chapter 2 Solutions
Introduction to Algorithms
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- Code only_Given an unsorted array A of size N that contains only positive integers, find a continuous sub-array that adds to a given number S and return the left and right index(1-based indexing) of that subarray. In case of multiple subarrays, return the subarray indexes which come first on moving from left to right. Note:- You have to return an ArrayList consisting of two elements left and right. In case no such subarray exists return an array consisting of element -1..arrow_forwardBinary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let’s think about how to modify the above code to make it work on an array in descending order.arrow_forwardQ: Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n [10] Suppose a number in the sequence is missing. Write the mathematical process to find the missing number, i.e. some equation. What is the time complexity of finding the missing number in the sequence?arrow_forward
- Q: Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n Suppose a number in the sequence is missing. (a). Write the mathematical process to find the missing number, i.e. some equation. (b). What is the time complexity of finding the missing number in the sequence?arrow_forwardALGO1(A)// A is an integer array, an index that starts at 11): for i=1 to n-1 do2): minIndex = findSmallest(A,i)3): exchange A[i] with A[minIndex] The sub-routine find the smallest(A, i) in Line 2, and returns the index of the smallest element in thesub-array A[i:n]Suppose the array below is provided as input to ALGO1 2 5 6 7 3 8 1 4 Fill in the Blanks At the end of the first iteration of the for loop (i.e. with i=1)1) a) the element at index 1 is : b) the element at index 4 is : c) the element at index 7 is :arrow_forwardConsider the array A with elements:[0,5,3,10]What is the value of *(A + 3)arrow_forward
- Q3/ (a) Lets C is a 3x3 matrix, find out TWO ONLY of the following: 1. Sum of the first column. 2 The results of multiply C matrix by 3. 3. The determinate of C matrix. (b) Write a Cprogram to enter different four-integer numbers into One -Dimensional Array, print its elements, and find sum of the results.arrow_forwardFind peak element in the array in C language. Peak Element is the element of the array which is GREATER THAN EQUAL TO its neighbours, that is, for an element at i th index, the neighbour elements at index i-1 & i+1 must be greater than equal to element at Ith position.arrow_forwardQ:During each iteration of Quick Sort algorithm, the first element of array is selected as a pivot. The algorithm for Quick Sort is given below. Modify it in such a way that last element of array should be selected as a pivot at each iteration. Also explain the advantages.arrow_forward
- Use one-dimensional arrays to solve the following problem. Read in two sets of numbers, each having 10 numbers. After reading all values, display all the unique elements in the collection of both sets of numbers. Use the smallest possible array to solve this problem.arrow_forwardAnswer in java script Create a function that returns true if the first array can be nested inside the second. arr1 can be nested inside arr2 if: 1. arr1's min is greater than arr2 's min. 2. arr1's max is less than arr2 's max. Examples canNest([1, 2, 3, 4], [0, 6]) true canNest ([3, 1], [4, 0]) → true canNest ([9, 9, 8], [8, 9]) → false canNest([1, 2, 3, 4], [2, 3]) - falsearrow_forwardQ3: Write a program for reading one dimensional array X(I), then arange its element ascending (4eha) then print matrix after change.arrow_forward
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