A rectangle is axis-parallel if its top and bottom sides are parallel to the x-axis and its left and right sides are parallel to the y-axis. From now on by a rectangle we mean an axis-parallel rectangle.</p>

A rectangle will be specified by a 4-tuple (x₁, y₁, x₂, y₂) in which (x₁, y₁) is the bottom-left corner and (x₂, y₂) is the top-right corner of the rectangle. We will also say the rectangle (x₁, y₁, x₂, y₂) is a (x₂ − x₁) × (y₂ − y₁) rectangle.

Two rectangles are incomparable if neither will fit inside the other possibly with translation and 90^◦ rotation; otherwise, the two rectangles are comparable. Given a list of rectangles, you are to output the number of pairs of incomparable rectangles.

입력 형식

The first input line contains an integer which is the number of rectangles n (where 0 ≤ n ≤ 10000). Each of the next n lines describes a rectangle and contains four integers x₁, y₁, x₂, y₂, a space separates two adjacent integers. Recall that coordinates (x₁, y₁), (x₂, y₂) specify respectively the bottom-left and top-right corner of the rectangle. All coordinate values are in the range of 0 to 10,000; that is, 0 ≤ x₁ ≤ 10000, 0 ≤ y₁ ≤ 10000, 0 ≤ x₂ ≤ 10000, 0 ≤ y₂ ≤ 10000.

출력 형식

The output file contains a single integer which is the number of pairs of incomparable rectangles.

예제 입력 1

3
0 0 2 2
0 0 3 1
1 1 3 4

예제 출력 1

1

예제 입력 2

4
3 3 4 6
1 2 4 3
5 6 7 8
10 10 12 12

예제 출력 2

4