Maximum Subarray Sum Problem Statement Given an array of integers, determine the maximum possible sum of any contiguous subarray within the array. Example: Input: array = [34, -50, 42, 14, -5, 86] Output: 137 Explanation: The maximum sum is achieved by the subarray [42, 14, -5, 86]. Input: array = [-5, -1, -8, -9] Output: -1 Explanation: The maximum sum is -1, achieved by the subarray [-1]. Constraints: 1 ≤ N ≤ 10 6 , where N is the number of elements in the array. -10 4 ≤ array[i] ≤ 10 4 Note: The solution should have a time complexity of O(N). Input: The first line contains a single integer, N, the size of the array. The second line contains N space-separated integers representing the elements of the array. Output: A single integer, the maximum subarray sum.

To solve this problem in time, we can use Kadane's Algorithm. This algorithm efficiently computes the maximum sum of a contiguous subarray in linear time. Here's the step-by-step solution: Algorithm 1. Initialize two variables: max_sum to store the maximum sum encountered so far (initialize to the smallest possible integer). current_sum to store the sum of the current subarray (initialize to 0). 2. Iterate through the array: Add the current element to current_sum. Update max_sum if current_sum is greater than max_sum. If current_sum becomes negative, reset it to 0 (as continuing with a negative sum would not maximize the result). 3. The value of max_sum at the end is the maximum sum of any contiguous subarray. Python Implementation def max_subarray_sum(n, arr): max_sum = float('-inf') current_sum = 0 for num in arr: current_sum += num if current_sum > max_sum: max_sum = current_sum if current_sum < 0: current_sum = 0 return max_sum # Input handling n = int(input()) # Size of the array arr = list(map(int, input().split())) # Array elements # Output the result print(max_subarray_sum(n, arr)) Explanation of the Example 1. Input: 6 34 -50 42 14 -5 86 Running the algorithm: Step 1: current_sum = 34, max_sum = 34 Step 2: current_sum = -16, max_sum = 34 Step 3: current_sum = 42, max_sum = 42 Step 4: current_sum = 56, max_sum = 56 Step 5: current_sum = 51, max_sum = 56 Step 6: current_sum = 137, max_sum = 137 Output: 137 2. Input: 4 -5 -1 -8 -9 Running the algorithm: Step 1: current_sum = -5, max_sum = -5, reset current_sum = 0 Step 2: current_sum = -1, max_sum = -1, reset current_sum = 0 Step 3: current_sum = -8, max_sum = -1, reset current_sum = 0 Step 4: current_sum = -9, max_sum = -1, reset current_sum = 0 Output: -1

Approach Create a nested loop. The outer loop will go from i = 0 to i = n - k. This will cover the starting indices of all k-subarrays The inner loop will go from j = i to j = i + k - 1. This will cover all the elements of the k-subarray starting from index i Keep track of the maximum element in the inner loop and print it. Space Complexity: O(1)Explanation: O(1) because the extra space being used (looping variables, maximum element) is constant for any N and K Time Complexity: O(1)Explanation: O(N * K) where N is the length of the input array and K is the size of the subarray.

Amazon Interview Questions: Maximum Subarray Sum Problem StatementGiven an array of inte

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Maximum Subarray Sum Problem Statement

Given an array of integers, determine the maximum possible sum of any contiguous subarray within the array.

Example:

Input:

array = [34, -50, 42, 14, -5, 86]

Output:

Explanation:

The maximum sum is achieved by the subarray [42, 14, -5, 86].

Input:

array = [-5, -1, -8, -9]

Output:

-1

Explanation:

The maximum sum is -1, achieved by the subarray [-1].

Constraints:

1 ≤ N ≤ 10⁶, where N is the number of elements in the array.
-10⁴ ≤ array[i] ≤ 10⁴

Note:

The solution should have a time complexity of O(N).

Input:

The first line contains a single integer, N, the size of the array. The second line contains N space-separated integers representing the elements of the array.

Output:

A single integer, the maximum subarray sum.

Prajkta Shendge

15d

student at

Savitribai phule Pune University

-1

Akshay Rajput

17d

To solve this problem in time, we can use Kadane's Algorithm. This algorithm efficiently computes the maximum sum of a contiguous subarray in linear time. Here's the step-by-step solution: Algorithm 1...read more

supremetoad

23d

ex -

TCS

Test

maryam kasadisss

4mo

Approach Create a nested loop. The outer loop will go from i = 0 to i = n - k. This will cover the starting indices of all k-subarrays The inner loop will go from j = i to j = i + k - 1. This will cov...read more

Anonymous

4mo

fulfillingsole

5mo

student at

Asian University Manipur msc complete

fashionableoggy

5mo

works at

FPL Hyundai Ambattur

-1

sunnyflamingo

5mo

student at

RvNorth land higher education and traning

Md Imam

5mo

B.A complete

Preeti Margaret Bhengra

5mo

-1

Anonymous

5mo

UREVENUKA SHIVAJI

5mo

-1

Bukke Seva naik

6mo

student at

JNTU College of Engineering, Kakinada

-1

༒ SINGH༒

6mo

student at

Gems polytechnic college

-1

K sai swathi

6mo

-1

tremendoussage

6mo

student at

Baahubali College of Engineering

-1

Rajeswari NANDAVARAPU

6mo

-1

Rajeswari NANDAVARAPU

6mo

-1

endlesstaro

7mo

ex -

HTC Global Services

-1

avinash verma

7mo

-1

Anonymous

7mo

-1

Anonymous

7mo

-1

Dayakar Behra

7mo

To solve the problem of finding the maximum sum of any contiguous subarray of an array in O(N) time, we can use Kadane's Algorithm. This algorithm works by iterating through the array and at each step...read more

Vaishali

8mo

-1

Shaik Naseema

11mo

ARR1(34690)

Shaik Naseema

11mo

Shaik Naseema

11mo

N-(1) is smallest number

Shaik Naseema

11mo

N-(1) is smallest

Anonymous

-1

Anonymous

The maximum sum would be -1

chandankumar6301

currently not working

The maximum sum would be -1

chandankumar6301

currently not working

import java.util.Scanner; public class MaximumSubarraySum { public static void main(String[] args) { Scanner scanner = new Scanner(System.in); // Input size of array int N = scanner.nextInt(); // Inpu...read more

Anonymous

The maximum sum would be -1

Anonymous

The maximum sum would be -1

Sweet Swathi

the maximum sum would be -1.

Anonymous

Send line elements is maximum sum is -1

Ruchi Gupta

Time Complexity - O(N * K)

Space Complexity - O(1)

where N is the length of the array and K is the size of subarrays

void printSubarrayMax(int *arr, int n, int k)

{

if (n == 0 || k == 0)

{

return;

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Maximum Subarray Sum Problem Statement

Example:

Input:

Output:

Explanation:

Input:

Output:

Explanation:

Constraints:

Note:

Input:

Output:

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