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Longest Increasing Subsequence

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Given an array of numbers, output the length of the longest increasing (not necessarily contiguous) subsequence. It is guaranteed that there are no duplicates in the array. For example, if the input was [1, 5, 2, 4], the answer would be 3 for the subsequence [1, 2, 4].

More I/O Examples

Input -> Output
[1] -> 1
[2, 1] -> 1
[1, 2, 3] -> 3
[5, 2, 1, 4, 3] -> 2
[7, 1, 8, 10, 3, 9, 5, 4, 6, 2] -> 4

This is code-golf, so shortest code wins.

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General comments (2 comments)
General comments
Lundin‭ wrote about 4 years ago · edited about 4 years ago

What's the upper limit to number of items supported and the values themselves? Does it need to cover negative numbers?

Quintec‭ wrote about 4 years ago

@Lundin No negative numbers, limit goes up to the int range in your language of choice