Points — Eolymp

Input

The first line contains one integer $n$ ( $0 \leq n \leq 10000$ 0 \leq n \leq 10000) — the number of points. The second line contains the coordinates of the two base points in the format $x_{1} y_{1} x_{2} y_{2}$ x_1\ y_1\ x_2\ y_2. Each of the next $n$ lines contains the coordinates of a point in the format $x y$ . All coordinates are integers with absolute value not exceeding $10000$ . The base points differ in at least one coordinate.

Output

Print one integer — the maximum number of points that can be contained in a strip formed by a pair of optimally drawn parallel lines passing through the base points.

Examples

Example 1

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