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Update 60. n 个骰子的点数.md
题目链接改为力扣中的对应题目,题目描述和代码按该题的接口调整。
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## 题目链接
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[Lintcode](https://www.lintcode.com/en/problem/dices-sum/)
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[Leetcode](https://leetcode.cn/problems/nge-tou-zi-de-dian-shu-lcof/)
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## 题目描述
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空间复杂度:O(N<sup>2</sup>)
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```java
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public List<Map.Entry<Integer, Double>> dicesSum(int n) {
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public double[] statisticsProbability(int num) {
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final int face = 6;
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final int pointNum = face * n;
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long[][] dp = new long[n + 1][pointNum + 1];
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final int pointNum = face * num;
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long[][] dp = new long[num + 1][pointNum + 1];
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for (int i = 1; i <= face; i++)
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dp[1][i] = 1;
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for (int i = 2; i <= n; i++)
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for (int i = 2; i <= num; i++)
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for (int j = i; j <= pointNum; j++) /* 使用 i 个骰子最小点数为 i */
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for (int k = 1; k <= face && k <= j; k++)
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dp[i][j] += dp[i - 1][j - k];
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final double totalNum = Math.pow(6, n);
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List<Map.Entry<Integer, Double>> ret = new ArrayList<>();
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for (int i = n; i <= pointNum; i++)
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ret.add(new AbstractMap.SimpleEntry<>(i, dp[n][i] / totalNum));
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final double totalNum = Math.pow(6, num);
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double[] ret = new double[pointNum - num + 1];
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for (int i = num; i <= pointNum; i++)
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ret[i - num] = dp[num][i] / totalNum;
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return ret;
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}
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@@ -46,16 +46,16 @@ public List<Map.Entry<Integer, Double>> dicesSum(int n) {
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空间复杂度:O(N)
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```java
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public List<Map.Entry<Integer, Double>> dicesSum(int n) {
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public double[] statisticsProbability(int num) {
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final int face = 6;
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final int pointNum = face * n;
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final int pointNum = face * num;
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long[][] dp = new long[2][pointNum + 1];
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for (int i = 1; i <= face; i++)
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dp[0][i] = 1;
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int flag = 1; /* 旋转标记 */
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for (int i = 2; i <= n; i++, flag = 1 - flag) {
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for (int i = 2; i <= num; i++, flag = 1 - flag) {
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for (int j = 0; j <= pointNum; j++)
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dp[flag][j] = 0; /* 旋转数组清零 */
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@@ -64,10 +64,10 @@ public List<Map.Entry<Integer, Double>> dicesSum(int n) {
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dp[flag][j] += dp[1 - flag][j - k];
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}
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final double totalNum = Math.pow(6, n);
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List<Map.Entry<Integer, Double>> ret = new ArrayList<>();
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for (int i = n; i <= pointNum; i++)
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ret.add(new AbstractMap.SimpleEntry<>(i, dp[1 - flag][i] / totalNum));
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final double totalNum = Math.pow(6, num);
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double[] ret = new double[pointNum - num + 1];
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for (int i = num; i <= pointNum; i++)
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ret[i - num] = dp[1 - flag][i] / totalNum;
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return ret;
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}
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