This document discusses an algorithm for determining if one permutation contains another as a pattern by examining runs (increasing or decreasing subsequences) in the permutations. It presents the concept of representing permutations as permutation matrices and comparing the runs within them. The algorithm runs in linear time by using dynamic programming to check for matching runs between the permutations p and q when the lengths of their longest common increasing subsequences are equal to |p| or |q|.
The document contains a series of symbols, numbers, and characters with no discernible meaning or context. It includes repeating patterns of 10s, 1s, and 0s as well as other random numbers and characters. The formatting includes boxes and lines that do not provide any additional clarity to the content. Overall, the document is nonsensical and provides no clear information to summarize.
This document appears to be notes from March 24, 2017 related to programming competitions and algorithms. It includes sections labeled with numbers and dates that seem to contain brief descriptions of coding challenges, with some mentioning specific algorithms like SPFA and languages like C++. Overall topics discussed include competitive programming, algorithms, and coding challenges from that date.
The document discusses algorithms for three problems:
1. Finding the maximum value of a function of N variables in O(NlogN) time.
2. Finding the first index where a value exceeds a threshold in O(N) time.
3. Sorting N numbers in O(NlogN) time.
It also provides the time complexities of different solutions to related problems and statistics on code submissions for a programming challenge.
The document contains a binary sequence recorded over 8 days from March 24 to March 31, 2017. Each day contains a number from 1 to 8, suggesting it was part of a longer term experiment or study where binary data was collected over that period.
This document discusses an algorithm for determining if one permutation contains another as a pattern by examining runs (increasing or decreasing subsequences) in the permutations. It presents the concept of representing permutations as permutation matrices and comparing the runs within them. The algorithm runs in linear time by using dynamic programming to check for matching runs between the permutations p and q when the lengths of their longest common increasing subsequences are equal to |p| or |q|.
The document contains a series of symbols, numbers, and characters with no discernible meaning or context. It includes repeating patterns of 10s, 1s, and 0s as well as other random numbers and characters. The formatting includes boxes and lines that do not provide any additional clarity to the content. Overall, the document is nonsensical and provides no clear information to summarize.
This document appears to be notes from March 24, 2017 related to programming competitions and algorithms. It includes sections labeled with numbers and dates that seem to contain brief descriptions of coding challenges, with some mentioning specific algorithms like SPFA and languages like C++. Overall topics discussed include competitive programming, algorithms, and coding challenges from that date.
The document discusses algorithms for three problems:
1. Finding the maximum value of a function of N variables in O(NlogN) time.
2. Finding the first index where a value exceeds a threshold in O(N) time.
3. Sorting N numbers in O(NlogN) time.
It also provides the time complexities of different solutions to related problems and statistics on code submissions for a programming challenge.
The document contains a binary sequence recorded over 8 days from March 24 to March 31, 2017. Each day contains a number from 1 to 8, suggesting it was part of a longer term experiment or study where binary data was collected over that period.
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