Alice starts with a score of $0$. While her score is strictly less than k, she repeatedly draws a number uniformly at random from the integers in the range $[1, \text{maxPts}]$ and adds it to her score. As soon as her score becomes greater than or equal to k, she stops drawing.

Return the probability that Alice’s final score is less than or equal to n.

Constraints:

• $0 \leq \text{k} \leq \text{n} \leq 10^4$

• $1 \leq \text{maxPts} \leq 10^4$

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