Package g0801_0900.s0837_new_21_game

Class Solution

  • public class Solution
extends Object
    837 - New 21 Game\. Medium Alice plays the following game, loosely based on the card game **"21"**. Alice starts with `0` points and draws numbers while she has less than `k` points. During each draw, she gains an integer number of points randomly from the range `[1, maxPts]`, where `maxPts` is an integer. Each draw is independent and the outcomes have equal probabilities. Alice stops drawing numbers when she gets `k` **or more points**. Return the probability that Alice has `n` or fewer points. Answers within 10-5 of the actual answer are considered accepted. **Example 1:** **Input:** n = 10, k = 1, maxPts = 10 **Output:** 1.00000 **Explanation:** Alice gets a single card, then stops. **Example 2:** **Input:** n = 6, k = 1, maxPts = 10 **Output:** 0.60000 **Explanation:** Alice gets a single card, then stops. In 6 out of 10 possibilities, she is at or below 6 points. **Example 3:** **Input:** n = 21, k = 17, maxPts = 10 **Output:** 0.73278 **Constraints:** * 0 <= k <= n <= 104 * 1 <= maxPts <= 104

    • Constructor Detail

      • Solution

        public Solution()

    • Method Detail

      • new21Game

        public double new21Game​(int n,
                        int k,
                        int w)