I am mushroom ^-^

In a mushroom forest, there are 9090 distinct mushrooms and Jimmy goes for picking all of them for his dinner. He took 3 identical bags with him, each of them can hold maximum 3030 mushrooms. If he takes home all of the mushrooms, then in how many ways can he put the mushrooms in the bags ? Write your answer as digit sum of the number.

This problem is a part of the set Vegetable combinatorics

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