Find the Longest Continuous Increasing Subsequence in Array | Longest Increasing Subsequence Problem

Find longest increasing subsequence in an array. The longest increasing subsequence (LIS) or longest increasing subsequence problem is the length of the longest subsequence of a given sequence such that all elements of the subsequence are sorted in increasing order. We have to write a function that finds the longest increasing subsequence in an array using javascript.

Here is one approach to find the longest increasing subsequence in an array using dynamic programming in JavaScript. Define a function that takes an array as an argument. If the length of the array is 0, return 0, as there is no increasing subsequence in an empty array.

Define a variable 'dp' that will be an array filled with the value 1, with the same length as the input array arr. This array will be used to store the length of the longest increasing subsequence ending at each index.

Initialize a variable 'maxLength' to 1 as a single element is always a valid increasing subsequence. Start a for loop that iterates through the input array from the second element to the last. Start a second for loop that iterates through the array from the first element.

If the current element 'arr[i]'' is greater than 'arr[j]', update the value of 'dp[i]' to the maximum of its current value and 'dp[j]+1'. This means the current element 'arr[i]' can be added to the end of an increasing subsequence ending at 'arr[j]'. Update the maxLength variable to the maximum of its current value and dp[i] after each iteration of the inner loop. This is to keep track of the maximum length of the increasing subsequence found so far.

After both loops end, return the maxLength which represents the length of the longest increasing subsequence in the input array. Define an array. Call the function with this array. Length of longest increasing subsequence in given array will be the output.

So this is how we can find the length of longest increasing subsequence in a given array using javascript.

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[santoshkadam]

I was expecting question to be finding susequence not its length