Apartments in Blocky Country 2
In "Blocky Country", the apartments are built using square blocks. An apartment is built with some unit cubes are stacked atop a flat 4 by 4 square. If we have a 4-1-4-3 silhouette as seen from the south and 3-4-3-4 silhouette as seen from the east, how many distinct constructions of Blocky Country Apartment that will result in the same 4143S, 3434E views as given above?
Inspired by Kevin Xu's Apartments in Blocky Country, so Thank You, Kevin.
The answer is 13182225.
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