## How do you find the maximum subsequence?

The maximum subsequence problem finds **a contiguous subsequence of the largest sum of a sequence of n numbers**. Solutions to this problem are used in various branches of science, especially in applications of computational biology.Oct 28, 2016

**contiguous subsequence of the largest sum of a sequence of n numbers**. Solutions to this problem are used in various branches of science, especially in applications of computational biology. The best sequential solution to the problem has an O (n) running time and uses dynamic programming.

## What is maximum sub array problem explain?

The maximum subarray problem is **a task to find the series of contiguous elements with the maximum sum in any given array**.Mar 21, 2021

## What is maximum sum increasing subsequence?

The maximum sum increasing subsequence is a **subsequence of a list of integers** where the sum is maximum and, in a subsequence, all the elements are sorted in increasing order.

## What would be the complexity of finding a sequence of elements which has maximum sum from a given array?

This can be done in **O(N)** .Sep 17, 2010

## How do you find the maximum sum of an array?

Find the Maximum subarray sum using Kadane' Algorithm. Keep that subarray intact and multiply the rest with -1. Considering the sum of the whole array as S, and the largest sum contiguous subarray as S1, the total sum will be equal to **-(S-S1) + S1 = 2*S1 – S**. This is the required sum.Apr 21, 2021

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### What is Subarray C?

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).May 25, 2021

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### What is subsequence of an array?

A subsequence of an array is **an ordered subset of the array's elements having the same sequential ordering as the original array**. ... The longest increasing subsequence of an array of numbers is the longest possible subsequence that can be created from its elements such that all elements are in increasing order.

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### Which is true about 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)**.Dec 31, 2018

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### What is subsequence sum?

A subsequence of an array is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements. A subsequence sum is **the sum of all elements present in the subsequence.**

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### What is a subsequence in math?

In mathematics, a subsequence of a given sequence is **a sequence that can be derived from the given sequence by deleting some or no elements without changing the order of the remaining elements**.

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### What does find maximum Subarray return when all elements of are negative?

What does FIND-MAXIMUM-SUBARRAY return when all elements of A are negative? **It will return a single-element array with the largest negative integer**.

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### What is the maximum sum of the elements in a sublist of an array?

The maximum sum sublist is **a sublist (slice) of the input list whose sum of entries is largest**. The empty sublist is defined to have sum 0. For example, the maximum sum sublist of the list [4, -2, -8, 5, -2, 7, 7, 2, -6, 5] is [5, -2, 7, 7, 2] and the sum of its entries is 19 .Feb 26, 2013

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### How many Subarrays are possible for an array of size n?

Any number of elements smaller than L can be included in subarray as long as there is at least one single element between L and R inclusive. The number of all possible subarrays of an array of size N is **N * (N + 1)/2**.May 10, 2021

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### What is the maximum subsequence sum problem?

- Given a sequence of n numbers, the task of finding the contiguous
**subsequence**, with**maximum**sum over all subsequences of the given sequence, is called the**maximum subsequence**sum**problem**[ 2 ]. We also refer to this**problem**as the 1D**maximum subsequence**sum**problem**.

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### What is the significance of the maximum sequence sum in DNA analysis?

- Particularly in DNA analysis, if we find all
**maximum subsequence**sums, we will also find all the possible pathogenicity islands, which are stretches with high possibility of causing some diseases.

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### What is the longest common subsequence (LCS) in DP4?

- Longest Common Subsequence | DP-4 1 Consider the input strings “AGGTAB” and “GXTXAYB”. Last characters match for the strings. So length of LCS can be... 2 Consider the input strings “ABCDGH” and “AEDFHR. Last characters do not match for the strings. So length of LCS can... More ...

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### What is the length of the input LCS for input sequences?

- LCS for input Sequences “ABCDGH” and “AEDFHR” is “ADH” of length 3. LCS for input Sequences “AGGTAB” and “GXTXAYB” is “GTAB” of length 4. Recommended: Please solve it on “ PRACTICE ” first, before moving on to the solution.

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### What is the maximum subsequence sum problem?What is the maximum subsequence sum problem?

Given a sequence of n numbers, the task of finding the contiguous subsequence, with maximum sum over all subsequences of the given sequence, is called the maximum subsequence sum problem [ 2 ]. We also refer to this problem as the 1D maximum subsequence sum problem.

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### What is longest increasing subsequence (lis) problem?What is longest increasing subsequence (lis) problem?

The Longest Increasing Subsequence (LIS) problem is to find the length of the longest subsequence of a given sequence such that all elements of the subsequence are sorted in increasing order. For example, the length of LIS for {10, 22, 9, 33, 21, 50, 41, 60, 80} is 6 and LIS is {10, 22, 33, 50, 60, 80}.

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### What is the maximum subarray problem in math?What is the maximum subarray problem in math?

In computer science, the maximum subarray problem is the task of finding a contiguous subarray with the largest sum, within a given one-dimensional array A[1...n] of numbers. Formally, the task is to find indices and with , such that the sum is as large as possible.

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### What is an example of a subsequence?What is an example of a subsequence?

A subsequence is a sequence that appears in the same relative order, but not necessarily contiguous. For example, “abc”, “abg”, “bdf”, “aeg”, ‘”acefg”, .. etc are subsequences of “abcdefg”.