- Practice
- Data Structures
- Stacks
- Largest Rectangle

# Largest Rectangle

# Largest Rectangle

*Skyline Real Estate Developers* is planning to demolish a number of old, unoccupied buildings and construct a shopping mall in their place. Your task is to find the largest solid area in which the mall can be constructed.

There are a number of buildings in a certain two-dimensional landscape. Each building has a height, given by . If you join adjacent buildings, they will form a solid rectangle of area .

**Example**

A rectangle of height and length can be constructed within the boundaries. The area formed is .

**Function Description**

Complete the function `largestRectangle`

int the editor below. It should return an integer representing the largest rectangle that can be formed within the bounds of consecutive buildings.

largestRectangle has the following parameter(s):

*int h[n]:*the building heights

**Returns**

- *long:* the area of the largest rectangle that can be formed within the bounds of consecutive buildings

**Input Format**

The first line contains , the number of buildings.

The second line contains space-separated integers, each the height of a building.

**Constraints**

**Sample Input**

STDIN Function ----- -------- 5 h[] size n = 5 1 2 3 4 5 h = [1, 2, 3, 4, 5]

**Sample Output**

```
9
```

**Explanation**

An illustration of the test case follows.