Let $ n \in \mathbb{Z}^+ $ be the length of each leg and the middle bar of the H.
**Objective**
Print a pattern representing the letter H, composed of:
- Two vertical legs, each of height $ n $, positioned at columns 1 and $ n $,
- One horizontal bar of length $ n $, centered vertically at row $ \left\lceil \frac{n}{2} \right\rceil $, spanning from column 1 to column $ n $,
- All other positions are empty (spaces).
The pattern consists of $ n $ rows and $ n $ columns, where:
- In row $ i $ (for $ i \in \{1, \dots, n\} $):
- Print `H` at column 1 and column $ n $,
- If $ i = \left\lceil \frac{n}{2} \right\rceil $, also print `H` at all columns $ j \in \{1, \dots, n\} $,
- Otherwise, print `H` only at columns 1 and $ n $, and spaces elsewhere.