PROBLEM LINK:
Author: Najiba Halim
Tester: Amitkumar Jha
Editorialist: Najiba Halim
DIFFICULTY:
Cakewalk
PROBLEM:
Find total number of hexagons after combining hexagons around the constructed lattice n times.
QUICK EXPLANATION:
Answer is n^{3}
EXPLANATION:
The number of hives Bumble has used each day are centered hexagonal numbers.
An n^{th} centered hexagonal number is given by the formula, n^{3} - (n-1)
Hence, \sum_{x=1}^{n} (x^{3} - (x-1)^{3}) = n^{3}