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 -

`- and its radius -`

**(x, y)**`.`

**R**### Input

The first line of input contains 4 integers: ** N**,

**,**

`x`**,**

`y`**.**

`R`Each of the following

**lines contains the coordinates**

`N`**of a point.**

`(x`_{i}, y_{i})### Output

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

### Constraints

`1 ≤ N, R ≤ 10`^{4}`-10`^{4}≤ x, y ≤ 10^{4}- All coordinates are integers.
- All points are different.

### Sample

Input | Output |
---|---|

3 1 1 21 0 1 5 2 1 | 2 |