Circle

Given N points and a circle, find how many points are inside the circle or on its circumference.
The circle is given by the coordinates of its centre - (x, y) - and its radius - R.

Input

The first line of input contains 4 integers: N, x, y, R.
Each of the following N lines contains the coordinates (x_i, y_i) of a point.

Output

A single integer - the number of points that are inside or on the circle.

Constraints

• 1 ≤ N, R ≤ 10⁴
• -10⁴ ≤ x, y ≤ 10⁴
• All coordinates are integers.
• All points are different.

Sample