Peaks and Valleys: In an array of integers, a "peak" is an element which is greater than or equal to the adjacent integers and a "valley" is an element which is less than or equal to the adjacent integers. For example, in the array {5, 8, 6, 2, 3, 4, 6}, {8, 6} are peaks and {5, 2} are valleys. Given an array of integers, sort the array into an alternating sequence of peaks and valleys. EXAMPLE Input: {5, 3, 1, 2, 3} Output: {5, 1, 3, 2, 3
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Peaks and Valleys: In an array of integers, a "peak" is an element which is greater than or equal
to the adjacent integers and a "valley" is an element which is less than or equal to the adjacent
integers. For example, in the array {5, 8, 6, 2, 3, 4, 6}, {8, 6} are peaks and {5, 2} are valleys. Given an
array of integers, sort the array into an alternating sequence of peaks and valleys.
EXAMPLE
Input: {5, 3, 1, 2, 3}
Output: {5, 1, 3, 2, 3}
Step by step
Solved in 4 steps with 2 images
- A "peak" is an entry in an integer array that is bigger than or equal to the adjacent integers, while a "valley" is an element that is smaller than or equal to the surrounding numbers. In the array, for example, 5, 8, 6, 2, 3, 4, 6 are peaks while 5, 2 are troughs. Sort an array of numbers into an alternating series of peaks and troughs. EXAMPLEInput: {5, 3, 1, 2, 3}Output: {5, 1, 3, 2, 3}A minimax or saddle point in a two-dimensional array is an element that is the minimum of its row and the maximum of its column, or vice verse. For example, in the following array11 22 33 33 99 55 66 77 77 44 99 22the element 33 is a minimax because it is the maximum of row 0 and the minimum of column 2. The element 55 is another minimax because it is the minimum of row 1 and the maximum of column 1.Write a program that reads a 4-by-3 matrix, and then prints the location and value of each minimax in the matrix. For example, it would printa[0][2] = 33 is a minimax a[1][1] = 55 is a minimaxfor the matrix shown above.: In an array of integers, a "peak" is an element which is greater than or equal tothe adjacent integers and a "valley" is an element which is less than or equal to the adjacent integers. For example, in the array {5, 8, 6, 2, 3, 4, 6}, {8, 6} are peaks and {5, 2} are valleys. Given an arrayof integers, sort the array into an alternating sequence of peaks and valleys.EXAMPLEInput: {5, 3, 1, 2, 3}Output: {5, 1, 3, 2, 3}
- A unimodal array is an array that has a sequence of monotonically increasing integers followed by a sequence of monotonically decreasing integers, assuming all elements in the array are unique. Example: - A= {4, 5, 8, 9, 10, 11, 7, 3, 2, 1}: A is a unimodal array because there is an increasing sequence followed by a decreasing sequence and the maximum element is 11.- B= {11, 9, 8, 7, 5, 4, 3, 2, 1}: B is not a unimodal array because there is no increasing sequence It is simply a decreasing sequence and the maximum element is 11.- C= {1, 2, 3, 4, 5, 7, 8, 9, 11}: C is not a unimodal array because There is an increasing sequence, but there is no decreasing sequence and the maximum element is 11.a) Design an efficient algorithm with the lowest possible complexity to state whether a given array is unimodal or not, and explain why your algorithm is efficient. b) Analyze the complexity of your algorithm. Data Structure With PythonIf an array is given, identify the next bigger element for each element in the array, if one exists. If the element is not accessible, print the element itself. The next bigger element y in the array for an element x is the first element that is greater than x and appears on its right side. The element itself is the next bigger member of the array's rightmost element. Example: Given A = [ 6 8 4 3 9] the next greater element listB = [8 9 9 9 9]. use python to codeIf an array is given, identify the next bigger element for each element in the array, if one exists. If the element is not accessible, print the element itself. The next bigger element y in the array for an element x is the first element that is greater than x and appears on its right side. The element itself is the next bigger member of the array's rightmost element. Example: Given A = [ 6 8 4 3 9] the next greater element listB = [8 9 9 9 9]. use python to code If an array is given, identify the next bigger element for each element in the array, if one exists. If the element is not accessible, print the element itself. The next bigger element y in the array for an element x is the first element that is greater than x and appears on its right side. The element itself is the next bigger member of the array's rightmost element. Example: Given A = [ 6 8 4 3 9] the next greater element listB = [8 9 9 9 9]. use python to code If an array is given, identify the next bigger element for each…
- Consider the array definitionint num [10] = {3, 3, 3};Pick the Correct answers A. num [9] is the last element of the array num B. The value of num [ 8] is 3 C. The value of num [ 3 ] is 3 D. None of the aboveVelTech Codeathon Jan Finals Test will be Lowest Common Multiple (LCM) You are given an array of positive integers, arr, of size array length. You are asked to build set S which consists of the LCM of every pair of adjacent elements in arr. Your task is to find the largest element in set S For example, for the array (1, 2, 3, 4), set S = { Icm(1,2), Icrm(2,3), Icrm(3,4) } = (2, 6, 12). The largest element is Fill you 12 Notes The array contains only positive integers. Adjacent elements may NOT be circular, ie. they may not wrap around the end of the array Definition of LCM A multiple of a number, num, is a number that can be divided by num. For example, the multiples of 5 are 5, 10, 15, 20, 25, and so on, The lowest common multiple (LCM) of two numbers, a and b, is the smallest positive number that is a multiple of both a and b Example 1 Input 4 1324 Output 9. Explanation set S= (lcm(1, 3), Icm(3, 2), Icm(2, 4) ) = (3, 6, 4) Largest element 6 Example 2 Pro Input 7329 12 Output 36…: In an array of integers, a "peak" is an element which is greater than or equalto the adjacent integers and a "valley" is an element which is less than or equal to the adjacentintegers. For example, in the array {5, 8, 6, 2, 3, 4, 6}, {8, 6} are peaks and {5, 2} are valleys. Given anarray of integers, sort the array into an alternating sequence of peaks and valleys.EXAMPLEInput: {5, 3, 1, 2, 3}Output: {5, 1, 3, 2, 3}
- Find the next larger element for each element in an array, if one is available. Print the element directly if it's not accessible. The first member in the array that is greater than x and is found on its right side is the next greater element, or y, for an element x. The element itself is the rightmost element in an array's next bigger element. Example: Given A = [ 6 8 4 3 9] the next greater element listB = [8 9 9 9 9]. use python to codeA three-dimensional array called watermelon is declared as based on the row-wise manner as below: int watermelon [3][2][2]= {9, 7, 1, 5, 9, 7, 1, 5, 9, 7 ,1, 5}; Rewrite the sequence of watermelon array if it is accessed in column wise manner. Select one: A.9 9 9 7 7 7 1 1 1 5 5 5 B.9 7 1 5 9 9 7 7 1 1 5 5 C.5 1 7 9 5 1 7 9 5 1 7 9 D.9 7 1 5 9 7 1 5 9 7 1 5What is the tradeoff between using an unordered array versus an ordered array ?