题目描述
Given N points of the form (x_{i}, y_{i}) on a 2-D plane.
From each point, you draw 2 lines one horizontal and one vertical. Now some of the lines may overlap each other, therefore you are required to print the number of distinct lines you can see on the plane.
Note:
Two horizontal lines are distinct if they pass through different y coordinates.
Two vertical lines are distinct if they pass through different x coordinates.
------ Input Format ------
- First line will contain T, number of testcases. Then the testcases follow.
- Each testcase contains a single integer N, the number of points.
- The next N lines contain two space separated integers x_{i}, y_{i}, the coordinate of the i^{th} point.
------ Output Format ------
For each testcase, output in a single line the number of distinct lines that can be seen on the plane.
------ Constraints ------
$1 ≤ T ≤ 1000$
$1 ≤ N ≤ 10^{5}$
$0 ≤ X_{i}, Y_{i} ≤ 10^{9}$
- Sum of $N$ over all test cases is atmost $10^{5}$.
----- Sample Input 1 ------
3
4
1 1
1 0
0 1
0 0
5
0 0
0 1
0 2
0 3
0 4
1
10 10
----- Sample Output 1 ------
4
6
2
----- explanation 1 ------
Test Case $1$: There are $2$ horizontal lines passing through $Y = 0$ and $Y = 1$, and $2$ vertical lines passing through $X = 0$ and $X = 1$.
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Test Case $2$: There are $5$ horizontal lines passing through $Y = 0, Y = 1, Y = 2, Y = 3$ and $Y = 4$ and $1$ vertical line passing through $X = 0$.
Test Case $3$: There is $1$ horizontal line passing through $Y = 10$ and $1$ vertical line passing through $X = 10$.
输入格式
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输出格式
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