Gandhian Series

A Britisher challenged Mahatma Gandhi to solve a series if he wants India free from British rule. Gandhi is good with philosophies but weak in maths problem-solving. Given two numbers $N$ and $K$. Find $S$= $\sum_{i=1}^{n} i^k$ $+$ $\sum_{j=1}^{k} ( ( j \bmod 2 ) -1 ) \times j$. For example: If $N=6$ and $K=6$, then $S$= $1^k+(2^k-2)+(3^k)+(4^k-4)+5^k+(6^k-6)$. ###Input: - First-line will