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What is an algorithm to find the subarray with the largest sum?

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What is an algorithm to find the subarray with the largest sum?

Kadane’s algorithm
Kadane’s algorithm is able to find the maximum sum of a contiguous subarray in an array with a runtime of O(n).

How do you find the maximum subarray of an array?

Simple Approach:

  1. Run a loop for i from 0 to n – 1, where n is the size of the array.
  2. Now, we will run a nested loop for j from i to n – 1 and add the value of the element at index j to a variable currentMax.
  3. Lastly, for every subarray, we will check if the currentMax is the maximum sum of all contiguous subarrays.
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How can I print Subarray with maximum sum?

Print continuous subarray with maximum sum

  1. Input: {-2, 1, -3, 4, -1, 2, 1, -5, 4}
  2. Output: The contiguous subarray with the largest sum is {4, -1, 2, 1}
  3. Input: {8, -7, -3, 5, 6, -2, 3, -4, 2}
  4. Output: The contiguous subarray with the largest sum is {5, 6, -2, 3}

How do you find the subarray of an array?

Algorithm:

  1. Traverse the array from start to end.
  2. From every index start another loop from i to the end of array to get all subarray starting from i, keep a variable sum to calculate the sum.
  3. For every index in inner loop update sum = sum + array[j]
  4. If the sum is equal to the given sum then print the subarray.

Is kadane’s algorithm DP?

Kadane’s algorithm is usually implemented using a bottom up DP approach to take advantage of the overlapping subproblems and to only compute each subproblem once, hence turning it to O(n).

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Where is kadane’s algorithm used?

There are many applications of kadane’s algorithm and some of them are as mentioned below: Finding maximum subarray sum for a given array of integer. Used as an image processing algorithm. It can be used to solve the problems like “Station Travel in Order” and “Hotels Along the Coast”

What is kadane’s algorithm?

Kadane’s algorithm is an iterative dynamic programming algorithm in which we search for a maximum sum contiguous subarray within a one-dimensional numeric array.

Which is true about kadane’s algorithm?

Explanation: Kadane’s algorithm is used to find the maximum sub-array sum for a given array. Explanation: Kadane’s algorithm works if the input array contains at least one non-negative element. Every element in the array {-4,-3,-2,-1} is negative. Hence Kadane’s algorithm won’t work.

How do you find the maximum Subarray in Python?

Maximum Subarray in Python

  1. define an array dp same as the size of A, and fill it with 0.
  2. dp[0] := A[0]
  3. for i = 1 to the size of A – 1. dp[i] := maximum of dp[i – 1] + A[i] and A[i]
  4. return max in dp.
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What is subarray of an array?

A subarray is a contiguous part of array. An array that is inside another array. For example, consider the array [1, 2, 3, 4], There are 10 non-empty sub-arrays. The subarrays are (1), (2), (3), (4), (1,2), (2,3), (3,4), (1,2,3), (2,3,4) and (1,2,3,4).

How do you make Subarray?

Approach: We use two pointers start and end to maintain the starting and ending point of the array and follow the steps given below:

  1. Stop if we have reached the end of the array.
  2. Increment the end index if start has become greater than end.
  3. Print the subarray from index start to end and increment the starting index.