CF389B Fox and Cross

Fox Ciel has a board with $ n $ rows and $ n $ columns. So, the board consists of $ n×n $ cells. Each cell contains either a symbol '.', or a symbol '\#'. A cross on the board is a connected set of exactly five cells of the board that looks like a cross. The picture below shows how it looks. Ciel wants to draw several (may be zero) crosses on the board. Each cross must cover exactly five cells with symbols '\#', and any cell with symbol '\#' must belong to some cross. No two crosses can share a cell. Please, tell Ciel if she can draw the crosses in the described way.

The first line contains an integer $ n $ ( $ 3

Output a single line with "YES" if Ciel can draw the crosses in the described way. Otherwise output a single line with "NO".

In example 1, you can draw two crosses. The picture below shows what they look like. In example 2, the board contains 16 cells with '\#', but each cross contains 5. Since 16 is not a multiple of 5, so it's impossible to cover all.