As Valeric and Valerko were watching one of the last Euro Championship games in a sports bar, they broke a mug. Of course, the guys paid for it but the barman said that he will let them watch football in his bar only if they help his son complete a programming task. The task goes like that.

Let's consider a set of functions of the following form:

Valeric and Valerko really want to watch the next Euro Championship game, so they asked you to help them.

The first line contains integer n (1 ≤ n ≤ 10⁵) — the number of functions. Each of the following n lines contains two space-separated integer numbers k_i, b_i ( - 10⁹ ≤ k_i, b_i ≤ 10⁹) that determine the i-th function.

Print a single number — the number of angles that do not equal 180 degrees in the graph of the polyline that equals the sum of the given functions.