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To rearrange something numerically does not take a genius. Then detecting a pattern like that one seems simple enough. Saying the 15 family members are the first 15 and Nanjo is above the servants as a guest, that would leave Kanon as 16. Otherwise, we would have Gohda as sixteen if you don't count Nanjo. If you don't count Kinzo then Kumasawa is 16.
This is far from perfect, but to me this some sense. And let's say the scribbler is optimistic, I would say Shanon is quite optimistic herself.
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