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Consider the following steps:

$S_1$: Characterize the structure of an optimal solution

$S_2$: Compute the value of an optimal solution in bottom-up fashion

Which of the following step(s) is/are common to both dynamic programming and greedy algorithms?

- Only $S_1$
- Only $S_2$
- Both $S_1$ and $S_2$
- Neither $S_1$ nor $S_2$

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