Software Engineer

You are given an unsorted array/list 'ARR' of 'N' integers. Your task is to return the length of the longest consecutive sequence.

The consecutive sequence is in the form ['NUM', 'NUM' + 1, 'NUM' + 2, ..., 'NUM' + L] where 'NUM' is the starting integer of the sequence and 'L' + 1 is the length of the sequence.

Note:

If there are any duplicates in the given array we will count only one of them in the consecutive sequence.

For example-

For the given 'ARR' [9,5,4,9,10,10,6].

Output = 3
The longest consecutive sequence is [4,5,6].

Follow Up:

Can you solve this in O(N) time and O(N) space complexity?

Given two strings, 'S' and 'T' with lengths 'M' and 'N', find the length of the 'Longest Common Subsequence'.

For a string 'str'(per se) of length K, the subsequences are the strings containing characters in the same relative order as they are present in 'str,' but not necessarily contiguous. Subsequences contain all the strings of length varying from 0 to K.

Example :

Subsequences of string "abc" are:  ""(empty string), a, b, c, ab, bc, ac, abc.

You are given a 'Nx3' 2-D array 'Jobs' describing 'N' jobs where 'Jobs[i][0]' denotes the id of 'i-th' job, 'Jobs[i][1]' denotes the deadline of 'i-th' job, and 'Jobs[i][2]' denotes the profit associated with 'i-th job'.

You will make a particular profit if you complete the job within the deadline associated with it. Each job takes 1 unit of time to be completed, and you can schedule only one job at a particular time.

Return the number of jobs to be done to get maximum profit.

Note :

If a particular job has a deadline 'x', it means that it needs to be completed at any time before 'x'.

Assume that the start time is 0.

For Example :

'N' = 3, Jobs = [[1, 1, 30], [2, 3, 40], [3, 2, 10]].

All the jobs have different deadlines. So we can complete all the jobs.

At time 0-1, Job 1 will complete.
At time 1-2, Job 3 will complete.
At time 2-3, Job 2 will complete.

So our answer is [3 80].

Some application design based on the problem statement.

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