Sum a*a + ... + b * b#9551

Sum a*a + ... + b * b

1 second
128 megabytes
Very easy

Given two positive integers and , find the sum of the squares of all numbers from to , i.e., a^2 + (a + 1)^2 + \ldots + b^2.

Input

Two positive integers and b~(1 \le a \le b \le 1000).

Output

Print the value of the specified sum.

Examples

Example 1

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