剑指60 n个骰子的点数

把n个骰子扔在地上,所有骰子朝上一面的点数之和为s。输入n,打印出s的所有可能的值出现的概率。

你需要用一个浮点数数组返回答案,其中第 i 个元素代表这 n 个骰子所能掷出的点数集合中第 i 小的那个的概率。

示例 1:

输入: 1
输出: [0.16667,0.16667,0.16667,0.16667,0.16667,0.16667]

示例 2:

输入: 2
输出: [0.02778,0.05556,0.08333,0.11111,0.13889,0.16667,0.13889,0.11111,0.08333,0.05556,0.02778]

解法:

class Solution:
    def twoSum(self, n: int) -> List[float]:
        dp = [[0 for _ in range(6*n+1)] for _ in range(n+1)]
        for i in range(1,7):
            dp[1][i] = 1
        for i in range(2,n+1):
            for j in range(i,6*i+1):
                for k in range(1,7):
                    if j-k>0:
                        dp[i][j] += dp[i-1][j-k]
        res = []
        for i in dp[n][n:]:
            res.append(round(i/6**n,5))
        return res