Enhance Your Learning with Dynamic Programming Flash Cards for quick learning
A method for solving complex problems by breaking them down into simpler overlapping subproblems and solving each subproblem only once, storing the results for future use.
A property of problems that can be solved optimally by breaking them down into smaller subproblems and combining their solutions.
A property of problems where the solution to a problem depends on the solutions to smaller instances of the same problem, leading to redundant computation.
A technique in dynamic programming where the results of expensive function calls are stored and reused to avoid redundant computation.
A technique in dynamic programming where the results of subproblems are stored in a table and used to solve larger problems.
A recursive approach in dynamic programming where the problem is divided into smaller subproblems, and the solutions to these subproblems are computed on demand.
An iterative approach in dynamic programming where the problem is solved by solving all possible subproblems in a bottom-up manner, starting from the smallest subproblems.
A sequence of numbers where each number is the sum of the two preceding ones, often used as an example in dynamic programming.
A problem where given a set of items with weights and values, the goal is to find the most valuable combination of items that can be carried in a knapsack with a given weight capacity.
A problem where given two sequences, the goal is to find the longest subsequence that is common to both sequences.
A problem where given a sequence of matrices, the goal is to find the most efficient way to multiply these matrices together.
A problem where given a set of coin denominations and a target amount, the goal is to find the minimum number of coins needed to make up that amount.
A problem where given two strings, the goal is to find the minimum number of operations required to transform one string into the other, where the allowed operations are insertion, deletion, and substitution.
A problem where given a list of cities and the distances between each pair of cities, the goal is to find the shortest possible route that visits each city exactly once and returns to the starting city.
A variation of the knapsack problem where each item can be taken only once, either completely or not at all.
A problem where given a rod of length n and a price list for different lengths, the goal is to find the maximum value obtainable by cutting up the rod and selling the pieces.
A problem where given a set of integers and a target sum, the goal is to determine whether there is a subset of the integers that adds up to the target sum.
A problem where given two non-negative integers n and k, the goal is to compute the binomial coefficient C(n, k), which represents the number of ways to choose k items from a set of n items.
An algorithm for finding the shortest paths from a single source vertex to all other vertices in a weighted directed graph, even in the presence of negative edge weights.
An algorithm for finding the shortest paths between all pairs of vertices in a weighted directed graph, using a dynamic programming approach.
An algorithm for finding the shortest paths from a single source vertex to all other vertices in a weighted directed graph, with non-negative edge weights.
A problem where given a sequence of numbers, the goal is to find the longest subsequence that is strictly increasing.
A problem where given an array of numbers, the goal is to find the contiguous subarray with the largest sum.
A problem where given a set of numbers, the goal is to partition the set into two subsets such that the difference between the sums of the subsets is minimized.
A problem where given a string, the goal is to partition the string into as few substrings as possible, such that each substring is a palindrome.
A problem where given a string and a dictionary of words, the goal is to determine whether the string can be segmented into a space-separated sequence of dictionary words.
A problem where given a grid with non-negative weights on each cell, the goal is to find the minimum cost path from the top-left cell to the bottom-right cell, moving only right or down.
A problem where given a string, the goal is to find the longest subsequence that is a palindrome.
A problem where given two strings, the goal is to find the longest substring that is common to both strings.
A problem where given an array of numbers, the goal is to find the contiguous subarray with the largest product.
A problem where given two strings, the goal is to find the minimum number of operations required to transform one string into the other, where the allowed operations are insertion, deletion, and substitution, with different costs for each operation.
A problem where given a string, the goal is to find the longest subsequence that appears more than once in the string.
A problem where given a sequence of numbers, the goal is to find the longest subsequence that is first increasing and then decreasing.
A problem where given a sequence of numbers, the goal is to find the longest subsequence that alternates between increasing and decreasing.
A problem where given a sequence of numbers, the goal is to find the longest subsequence that alternates between positive and negative differences.
A problem where given an array of numbers, the goal is to find the longest subarray that is strictly increasing.
A problem where given an array of numbers, the goal is to find the longest subarray that is strictly decreasing.
A problem where given a string, the goal is to find the longest substring that is strictly increasing when the characters are interpreted as numbers.
A problem where given a string, the goal is to find the longest substring that is strictly decreasing when the characters are interpreted as numbers.
A problem where given an array of numbers, the goal is to find the longest subarray that forms a mountain shape, increasing and then decreasing.
A problem where given a sequence of numbers, the goal is to find the longest subsequence that forms a mountain shape, increasing and then decreasing.
A problem where given an array of numbers, the goal is to find the longest subarray that forms a bitonic shape, increasing and then decreasing.
A problem where given a string, the goal is to find the longest substring that forms a bitonic shape, increasing and then decreasing when the characters are interpreted as numbers.
A problem where given an array of numbers, the goal is to find the longest subarray that alternates between increasing and decreasing.
A problem where given a string, the goal is to find the longest substring that alternates between increasing and decreasing when the characters are interpreted as numbers.
A problem where given an array of numbers, the goal is to find the longest subarray that alternates between positive and negative differences.
A problem where given a string, the goal is to find the longest substring that alternates between positive and negative differences when the characters are interpreted as numbers.