Time Complexity

Find the length of the longest increasing subsequence in an array of integers.
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Given an array of integers, this problem aims to find the length of the longest increasing subsequence in the array. For example, given the input array [10, 9, 2, 5 , 3, 7, 101, 18], the output should be 4, as the longest increasing subsequence in the array is [2, 3, 7, 101]. This problem can be solved using dynamic programming, and the time complexity of the solution is O(n^2).

Find the Longest Increasing Subsequence in an Array
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Given an array of integers, this problem asks to find the length of the longest increasing subsequence within that array. An example input is provided, along with the expected output.

Find the maximum average value in a given array of integers.
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Given an array of n integers, find the contiguous subarray of given length k that has the maximum average value. Output the maximum average value.

Maximum Average Subarray of Length k
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Given an array of n integers, find the contiguous subarray of given length k that has the maximum average value. Output the maximum average value.

Longest consecutive element sequence in an unsorted array
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Given an unsorted array, this algorithm finds the length of the longest consecutive elements sequence.

Longest Increasing Subsequence
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Given an array of integers, this algorithm finds the length of the longest increasing subsequence in the array.

Sum of first n integers in a list
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Find the sum of the first n integers in a list.

Find the First Missing Positive Integer in an Array
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Given an array of integers, find the first missing positive integer in linear time and constant space.