Also: (3,1,0) same.

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• So distinct unordered triples with sum 4 and parts ≤ 3:
• That’s three.
• Wait: (3,0,1) same as (0,1,3), (2,1,1), (2,2,0), and (1,1,2), and (4,0,0) invalid.
• What about (2,3, -1)? No.
• Is (1,1,2) different from (2,1,1)? No, same multiset.
• So only three types:

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