- Time limit: 1.00 s
- Memory limit: 512 MB
The Euclidean distance of points $(x_1,y_1)$ and $(x_2,y_2)$ is $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$.
Input
The first input line has an integer $n$: the number of points.
After this, there are $n$ lines that describe the points. Each line has two integers $x$ and $y$. You may assume that each point is distinct.
Output
Print one integer: $d^2$ where $d$ is the minimum Euclidean distance (this ensures that the result is an integer).
Constraints
- $2 \le n \le 2 \cdot 10^5$
- $-10^9 \le x,y \le 10^9$
Input:
4
2 1
4 4
1 2
6 3
Output:
2