# How do you find the maximum product of a Subarray?

## How do you find the maximum product of a Subarray?

Given an array that contains both positive and negative integers, find the product of the maximum product subarray. Expected Time complexity is O(n) and only O(1) extra space can be used. Recommended: Please solve it on “PRACTICE ” first, before moving on to the solution.

### What is a best possible solution for maximum product Subarray problem?

A better solution will be to maintain two variables to store the maximum and minimum product ending in the current position. Then traverse the array once, and for every index i in the array, update the maximum and minimum product ending at A[i] .

#### Which is true about kadane’s algorithm maximum product subsequence in an array maximum product subsequence in an array?

Kadane algorithm is used to find the maximum sum subarray in an array. So B is correct.

Kadane’s Algorithm is an iterative dynamic programming algorithm. It calculates the maximum sum subarray ending at a particular position by using the maximum sum subarray ending at the previous position.

What is hourglass value?

The sum of an hourglass is the sum of all the numbers within it. The sum for the hourglasses above are 7, 4, and 2, respectively.

## When the total product is maximum?

When marginal product of a factor is zero then total product will be maximum.

### How do you find the maximum product of two numbers in an array?

Below are detailed steps.

1. Sort input array in increasing order.
2. If all elements are positive, then return the product of the last two numbers.
3. Else return a maximum of products of the first two and last two numbers.

#### What is kadane’s algorithm in Java?

The optimal solution is Kadane’s Algorithm, but Sliding Window can still be applied with modifications (not recommended though) Find all possible subarrays along with their sums and put them in a map. Optimum solution is Kadane’s Algorithm.

That is because it has a time complexity of O(N3) and O(N) space complexity. As we know, while writing any program, Time and Space Complexity plays a vital role in choosing the algorithm. Therefore, we use Kadane’s algorithm because of its advantage considering time and space complexity.

## 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”

### How do you make an hourglass in Java?

Hourglass Pattern in Java | How to Print Hourglass Pattern in Java | Pattern Programs in Java

1. public class Diamond.
2. for(int k=1; k<=i-1; k++)
3. print(” “);
4. }
5. for(int j=1; j<=5-i+1; j++
6. print(“* “);
7. for(int i=4; i>=1; i–)
8. {

#### How does kadane’s algorithm work?

How do you create a sub array in Java?

Use the copyOfRange() to Create a Subarray From an Array in Java. Java provides us with a way to copy the elements of the array into another array. We can use the copyOfRange() method, which takes the primary array, a starting index, and an ending index as the parameters and copies that subarray to the destined array.

When total product is maximum then marginal product becomes?

Marginal Product is the defined as the change in total product resulting from one additional unit of a variable factor. For output to be maximized the marginal product should be 0.

## When marginal product is maximum?

When a marginal product reaches its maximum, the total product starts to increase at a diminishing rate.

### How do you find the product of two arrays?

The product of two matrices can be computed by multiplying elements of the first row of the first matrix with the first column of the second matrix then, add all the product of elements. Continue this process until each row of the first matrix is multiplied with each column of the second matrix.

#### What is the maximum product of an increasing subsequence?

The problem “Maximum product of an increasing subsequence” states that you are given an array of integers. Now you need to find out the maximum product you can achieve such that you multiply the elements of an increasing subsequence. The thing to note is that, we are not supposed to find out the longest increasing subsequence.

What is the product of subsequence if 0 is present?

Since 0 is present in subsequence, the product of subsequence is 0. Answer = 0. CASE II: if maximum element of A is negative and k is odd.

What is the total pairs required to be added in subsequence?

So total pairs required to be added in subsequence is k/2. So for simplicity, our new k is k/2. Now since A is sorted, pair with the maximum product will always be either A *A  OR A [n-1]*A [n-2].

## What is the prerequisite for the longest increasing subsequence approach?

Prerequisite: Longest Increasing Subsequence Approach: Use a dynamic approach to maintain a table mpis. The value of mpis stores product maximum product increasing subsequence ending with arr. Initially all the values of increasing subsequence table are initialized to arr.