Field
On a two-dimensional plane, there are m lines drawn parallel to the x axis, and n lines drawn parallel to the y axis. Among the lines parallel to the x axis, the i-th from the bottom is represented by y = y[i]. Similarly, among the lines parallel to the y axis, the i-th from the left is represented by x = x[i].
For every rectangle that is formed by these lines, find its area, and print the total area modulo 10^9 + 7.
That is, for every quadruple (i, j, k, l) satisfying 1 ≤ i< j ≤ n and 1 ≤ k < l ≤ m, find the area of the rectangle formed by the lines x = x[i], x = x[j], y = y[k] and y = y[l], and print the sum of these areas modulo 10^9 + 7.
Input
The first line contains two integers n and m (2 ≤ n, m ≤ 10^5).
The second line contains n integers -10^9 ≤ x[1] < x[2] < ... < x[n] ≤ 10^9.
The third line contains m integers -10^9 ≤ y[1], y[2], ..., y[m] ≤ 10^9.
Output
Print the total area of the rectangles, modulo 10^9 + 7.
Example
The following figure illustrates this input:
The total area of the nine rectangles A, B, ..., I shown in the following figure, is 60.
