MathDB

A natural number

n

is given and written in a row of

n

numbers, each of which is equal to

0

1

. Then

n - 1

numbers are written below in a row - one number under each pair of adjacent numbers of the first row. At the same time,

0

is written under a pair of identical numbers. and under a pair of different ones

1

. Then, under the second row, the third of

n- 2

numbers is similarly written, etc., until we get a triangular table with

n

rows. For a given

n

, find the largest possible number of units in such a table.

Problem Statement