The area of a polygon#2147

The area of a polygon

1 second
64 megabytes
Very easy

Determine the area of the given polygon.

Input

The first line contains one integer (3 \leq N \leq 100000). Each of the next lines contains a pair of integers, which are the coordinates of each vertex of a simple polygon given in either clockwise or counterclockwise order. All coordinates are integers with absolute values not exceeding .

Output

Output a single number: the area of the given polygon, accurate to decimal place.

Examples

Example 1

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