Need help with consecutive sums problem and algorithm below in the image Let(a1,...an) be a sequence of distinct numbers some of which maybe negative. For ≤ i ≤j≤n, consider the sumSij = a₁ +.... taja) What is the running time of a brute force algorithm to calculate max Sij?b) Give an efficient algorithm to find the above maximum. In addition to giving the algorithm, describe the efficiency of your algorithm clearly.

a)C++ Code for the (b) part: #include <bits/stdc++.h> using namespace std; #define int long long int int32_t main() { int n; cin >> n; int arr[n]; for (int i = 0; i < n; i++) { cin >> arr[i]; } for (int i = 1; i < n; i++) { arr[i] += arr[i - 1]; } // min_prefix value int min_pre = 0; // maximum sum obtained int max_sum = INT_MIN; for (int i = 1; i < n; i++) { // calculating maximum sum obtained //if the i th element is picked int sum_obtained = arr[i] - min_pre; // updating max_sum max_sum = max(max_sum, sum_obtained); // updating prefix_min min_pre = min(min_pre, arr[i]); } cout << max_sum; }Output

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Computer Science

Let (a1....an) be a sequence of distinct numbers some of which maybe negative. For ≤ i ≤j≤n, consider the sum Sijai+...+aj a) What is the running time of a brute force algorithm to calculate max Sij? b) Give an efficient algorithm to find the above maximum. In addition to giving the algorithm, describe the efficiency of your algorithm clearly.

Let (a1....an) be a sequence of distinct numbers some of which maybe negative. For ≤ i ≤j≤n, consider the sum Sijai+...+aj a) What is the running time of a brute force algorithm to calculate max Sij? b) Give an efficient algorithm to find the above maximum. In addition to giving the algorithm, describe the efficiency of your algorithm clearly.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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