Dynamic Programming
Break problems into overlapping subproblems and store results. 3 programs in C with full explanations for VTU BCSL40A.
Dynamic Programming
T: O(V³)
S: O(V²)
Floyd's Algorithm
Floyd's algorithm (Floyd-Warshall) finds the shortest paths between all pairs of vertices in a weighted graph using dynamic programming.
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Dynamic Programming
T: O(V³)
S: O(V²)
Warshall's Algorithm
Warshall's algorithm computes the transitive closure of a directed graph — determining if a path exists between every pair of vertices.
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Dynamic Programming
T: O(nW)
S: O(nW)
0/1 Knapsack Problem
The 0/1 Knapsack problem uses dynamic programming to find the maximum profit by selecting items with given weights and values without exceeding the knapsack capacity.
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