What is the time complexity of the Dynamic Programming approach for solving the Rod Cutting problem?

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What is the time complexity of the Dynamic Programming approach for solving the Rod Cutting problem?

The time complexity of the Dynamic Programming approach for solving the Rod Cutting problem is O(n^2), where n is the length of the rod. This is because the problem can be solved using a bottom-up approach, where we calculate the maximum value for each possible length of the rod from 1 to n. In order to calculate the maximum value for a particular length, we need to consider all possible cuts and their corresponding values. Since there are n possible lengths and for each length we consider all possible cuts, the time complexity becomes O(n^2).