A 5779-dimensional polytope is call a k-tope if it has exactly k 5778-dimensional faces. Find all sequences b5780,b5781,…,b11558 of nonnegative integers, not all 0, such that the following condition holds:It is possible to tesselate every 5779-dimensional polytope with convex 5779-dimensional polytopes, such that the number of k-topes in the tessellation is proportional to bk, while there are no k-topes in the tessellation if k∈/{5780,5781,…,11558}. combinatorical geometrycombinatoricsolympic revenge