Please compute the sum of squares for the given numbers: a, a+1, ..., b-1, b.

Input

Two numbers: a and b separated by space, where 1 <= a <= b <=100.

Output

Computed sum: a*a + (a+1)*(a+1) + ... + (b-1)*(b-1) + b*b

Example

Input:
1 4

Output:
30

Example 2

Input:
5 6

Output:
61