Example 7: Code the below problem using C++ Sample Input: 1 4 1234 Sample Output: 16 Ayush has an array a of n integers. He wants to collapse the entire array into a single element. To do this, he can perform the operation described below any number of times. Each operation grants some points, and Ayush's total score will be the sum of the points granted over all operations he performs. Let ali..j] denote the subarray of a starting at index i and ending at j. Define min;j to be the minimum value in a[i..j]. In one operation he can do the following: • Select any subarray a[i.j] of a of size at least 2 and replace this subarray by a single element equal to the sum of elements of the subarray. The number of points granted by such an operation, which will be added to his

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
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Example 7: Code the below problem using C++
Sample Input:
1.
4
1234
Sample Output:
16
Ayush has an array a of n integers. He wants to collapse the entire array into a
single element. To do this, he can perform the operation described below any
number of times. Each operation grants some points, and Ayush's total score will
be the sum of the points granted over all operations he performs.
Let aſi..j] denote the subarray of a starting at index i and ending at j. Define
min; j to be the minimum value in a[i..j].
In one operation he can do the following:
• Select any subarray a[i..j] of a of size at least 2 and replace this subarray by
a single element equal to the sum of elements of the subarray.
The number of points granted by such an operation, which will be added to his
total score, is (j – i+1) · minj.
For example, consider an array a = [2, 3, 5]. If he selects the subarray a[1..2],
his total score increases by 2 · 2 = 4 points. Now a = [5, 5].
Ayush performs operations until only a single element remains. Help Ayush
determine the maximum possible total score he can receive.
Transcribed Image Text:Example 7: Code the below problem using C++ Sample Input: 1. 4 1234 Sample Output: 16 Ayush has an array a of n integers. He wants to collapse the entire array into a single element. To do this, he can perform the operation described below any number of times. Each operation grants some points, and Ayush's total score will be the sum of the points granted over all operations he performs. Let aſi..j] denote the subarray of a starting at index i and ending at j. Define min; j to be the minimum value in a[i..j]. In one operation he can do the following: • Select any subarray a[i..j] of a of size at least 2 and replace this subarray by a single element equal to the sum of elements of the subarray. The number of points granted by such an operation, which will be added to his total score, is (j – i+1) · minj. For example, consider an array a = [2, 3, 5]. If he selects the subarray a[1..2], his total score increases by 2 · 2 = 4 points. Now a = [5, 5]. Ayush performs operations until only a single element remains. Help Ayush determine the maximum possible total score he can receive.
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