Points and Lines codechef

Points and Lines codechef Question:-

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 $i^{t h}$ point.

Output Format

For each testcase, output in a single line the number of distinct lines that can be seen on the plane.

Constraints

$1 \leq T \leq 1000$
$1 \leq N \leq 10^{5}$
$0 \leq X_{i}, Y_{i} \leq 10^{9}$
Sum of $N$ over all test cases is atmost $10^{5}$ .

Sample Input 1

Sample Output 1

4
6
2

Explanation

Test Case $1$ : There are $2$ horizontal lines passing through $Y = 0$ and $Y = 1$ , and $2$ vertical lines passing through $X = 0$ and $X = 1$ .

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 $X = 10$ .

Code of Points and Lines codechef:-

t=int(input())
for j in range(t):
    h=[]
    v=[]
    ans=0
    n=int(input())
    for i in range(n):
        e=input().split()
        h.append(e[0])
        v.append(e[1])
        if e[0]==1 and e[1]==0:
            ans+=1
    h=list(set(h))
    v=list(set(v))
    ans=ans+len(h)+len(v)
    print(ans)