Description: You are given N points on a plane. Write a program which will find the sum of squares of distances between all pairs of points. Input Format: The first line of input contains one integer number N (1 ≤ N ≤ 100 000) — the number of points. Each of the following N lines contain two integer numbers X and Y ( - 10 000 ≤ X, Y ≤ 10 000) — the coordinates of points. Two or more points may coincide. Output Format: The only line of output should contain the required sum of squares of distances between all pairs of points. Note: None