E. Count The Rectanglestime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputThere are n segments drawn on a plane; the i-th segment connects two points (x_{i, 1}, y_{i, 1}) and (x_{i, 2}, y_{i, 2}). Each segment is non-degenerate, and is either horizontal or vertical — formally, for every i \in [1, n] either x_{i, 1} = x_{i, 2} or y_{i, 1} = y_{i, 2} (but only one of these conditions holds). Only segments of different types may intersect: no pair of horizontal segments shares any common points, and no pair of vertical segments shares any common points.We say that four segments having indices h_1, h_2, v_1 and v_2 such that h_1 < h_2 and v_1 < v_2 form a rectangle if the following conditions hold:  segments h_1 and h_2 are horizontal;  segments v_1 and v_2 are vertical;  segment h_1 intersects with segment v_1;  segment h_2 intersects with segment v_1;  segment h_1 intersects with segment v_2;  segment h_2 intersects with segment v_2. Please calculate the number of ways to choose four segments so they form a rectangle. Note that the conditions h_1 < h_2 and v_1 < v_2 should hold.InputThe first line contains one integer n (1 \le n \le 5000) — the number of segments.Then n lines follow. The i-th line contains four integers x_{i, 1}, y_{i, 1}, x_{i, 2} and y_{i, 2} denoting the endpoints of the i-th segment. All coordinates of the endpoints are in the range [-5000, 5000].It is guaranteed that each segment is non-degenerate and is either horizontal or vertical. Furthermore, if two segments share a common point, one of these segments is horizontal, and another one is vertical.OutputPrint one integer — the number of ways to choose four segments so they form a rectangle.ExamplesInput
7
-1 4 -1 -2
6 -1 -2 -1
-2 3 6 3
2 -2 2 4
4 -1 4 3
5 3 5 1
5 2 1 2
Output
7
Input
5
1 5 1 0
0 1 5 1
5 4 0 4
4 2 4 0
4 3 4 5
Output
0
NoteThe following pictures represent sample cases:    
7
-1 4 -1 -2
6 -1 -2 -1
-2 3 6 3
2 -2 2 4
4 -1 4 3
5 3 5 1
5 2 1 2

7 
['bitmasks', 'brute force', 'data structures', 'geometry', 'sortings', '*2200']