Question: Consider the following greedy algorithm for activity selection. The idea is that at each step, we greedily add a valid activity with the fewest conflicts

Consider the following greedy algorithm for activity selection. The idea is that at each step, we greedily add a valid activity with the fewest conflicts with other valid activities. (An activity is valid if it doesnt conflict with an already selected activity).
The algorithm (breaking ties arbitrarily) could choose a1, then a6, then a7, then a2.
Is this algorithm correct?

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