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==Solution== | ==Solution== | ||
This is a fairly straightforward dynamic programming problem that just requires evaluating the maximum sum for a sliding window, and store the results in a 1D array. | |||
https://charlesreid1.com:3000/cs/java/src/master/dynamic-programming/max-val-seq | https://charlesreid1.com:3000/cs/java/src/master/dynamic-programming/max-val-seq | ||
Revision as of 21:22, 9 August 2017
Problem Description
Given a sequence of integers, $ a_1, a_2, \dots, a_n $, determine the subsequence of integers with the maximum sum.
(Note, this problem is only interesting if there are negative numbers.)
Solution
This is a fairly straightforward dynamic programming problem that just requires evaluating the maximum sum for a sliding window, and store the results in a 1D array.
https://charlesreid1.com:3000/cs/java/src/master/dynamic-programming/max-val-seq
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Combinatorics
Combinatorial Structures - Order Does Not Matter Ordinary generating functions
Labelled Structures - Order Matters Enumerating Permutations: String Permutations Generating Permutations: Cool · Algorithm M (add-one) · Algorithm G (Gray binary code)
Combinatorics Problems Longest Increasing Subsequence · Maximum Value Contiguous Subsequence · Racing Gems Cards (poker hands with a deck of 52 playing cards)
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Algorithms Part of Computer Science Notes
Series on Algorithms
Algorithms/Sort · Algorithmic Analysis of Sort Functions · Divide and Conquer · Divide and Conquer/Master Theorem Three solid O(n log n) search algorithms: Merge Sort · Heap Sort · Quick Sort Algorithm Analysis/Merge Sort · Algorithm Analysis/Randomized Quick Sort
Algorithms/Search · Binary Search · Binary Search Modifications
Algorithms/Combinatorics · Algorithms/Combinatorics and Heuristics · Algorithms/Optimization · Divide and Conquer
Algorithms/Strings · Algorithm Analysis/Substring Pattern Matching
Algorithm complexity · Theta vs Big O Amortization · Amortization/Aggregate Method · Amortization/Accounting Method Algorithm Analysis/Matrix Multiplication
Estimation Estimation · Estimation/BitsAndBytes
Algorithm Practice and Writeups Project Euler · Five Letter Words · Letter Coverage
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