Symmetry

The figure shown on the left is left-right symmetric as it is possible to fold the sheet of paper along a
vertical line, drawn as a dashed line, and to cut the figure into two identical halves. The figure on the
right is not left-right symmetric as it is impossible to find such a vertical line.
Write a program that determines whether a figure, drawn with dots, is left-right symmetric or not.
The dots are all distinct.
Input
The input consists of T test cases. The number of test cases T is given in the first line of the input file.
The first line of each test case contains an integer N, where N (1 ≤ N ≤ 1, 000) is the number of dots
in a figure. Each of the following N lines contains the x-coordinate and y-coordinate of a dot. Both
x-coordinates and y-coordinates are integers between −10, 000 and 10, 000, both inclusive.
Output
Print exactly one line for each test case. The line should contain ‘YES’ if the figure is left-right symmetric,
and ‘NO’, otherwise.
Sample Input
3
5
-2 5
0 0
6 5
4 0
2 3
4
2 3
0 4
4 0
0 0
4
5 14
6 10
5 10
6 14
Sample Output
YES
NO

YES

#include
#include
#include
using namespace std;
int x[1010],y[1010];
const double f=1e-5;
int n,i,j;
int main()
{
    int t;
    cin>>t;
    while(t--)
    {
        cin>>n;
        double sum=0;
        for(i=1;i<=n;i++)
        {
            cin>>x[i]>>y[i];
            sum+=x[i];
        }
        sum/=n;
        bool is_find=true;
        for(i=1;i<=n;i++)
        {
            for(j=1;j<=n;j++)
            {
                if(abs(2*sum-x[i]-x[j])