Rod Cutting Solver
AlgorithmsMediumCut rods into optimal segments to maximize sales values.
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Configuration Panel
Rod Cutting DP Array Nodes (cuts highlighted)
Time Complexity
O(N^2)
Space Complexity
O(N) tables storage size
Conceptual Overview
The Rod Cutting problem finds the maximum profit obtainable by cutting a rod of length N into smaller pieces and selling them according to a prices list.
Recurrence Relation
dp[i] = max(price[j] + dp[i - j - 1]) for all j in [0, i-1]
State Transitions
Compares the profits of all possible first cuts: making a cut of length j + 1 (yields price[j]) plus solving the remaining subproblem of length i - j - 1.
Source: CP-Algorithms dynamic programming reference