Statement I: The sum of algebraic distances from the points $(n,n^2),$ where
n=1,2,3,………….2023 to a variable straight line is zero and if such a line always passes through the point $(\alpha ,\beta )$ then  $\alpha +\beta =1366200$
Statement II: If sum of algebraic distances from the points $(x_i,y_i),where\text{\hspace{0.17em}i\hspace{0.17em}}=1,2,\mathrm{3........}n$ to a variable straight line is zero then that the line passes through the point $\left(\sum _{i=1}^n{x}_i,\sum _{i=1}^n{y}_i\right)$