Score Calculation

Initialize a sum to $0$ and add each score once. After processing $k$ scores, the sum equals exactly their total, so after all scores it is the answer. Time complexity is $O(N)$ and auxiliary space is $O(1)$. The maximum sum is $100\cdot100=10000$. A naive solution may add $1$ once for each point; at most $10000$ updates are needed.

Solution written by GPT6.1