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@@ -283,11 +283,11 @@ comments: true
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List<List<double>> buckets = List.generate(k, (index) => []);
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// 1. 将数组元素分配到各个桶中
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for (double num in nums) {
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// 输入数据范围 [0, 1),使用 num * k 映射到索引范围 [0, k-1]
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int i = (num * k).toInt();
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// 将 num 添加进桶 bucket_idx
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buckets[i].add(num);
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for (double _num in nums) {
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// 输入数据范围 [0, 1),使用 _num * k 映射到索引范围 [0, k-1]
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int i = (_num * k).toInt();
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// 将 _num 添加进桶 bucket_idx
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buckets[i].add(_num);
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}
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// 2. 对各个桶执行排序
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for (List<double> bucket in buckets) {
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@@ -296,8 +296,8 @@ comments: true
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// 3. 遍历桶合并结果
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int i = 0;
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for (List<double> bucket in buckets) {
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for (double num in bucket) {
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nums[i++] = num;
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for (double _num in bucket) {
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nums[i++] = _num;
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}
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}
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}
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@@ -238,20 +238,20 @@ comments: true
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void countingSortNaive(List<int> nums) {
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// 1. 统计数组最大元素 m
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int m = 0;
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for (int num in nums) {
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m = max(m, num);
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for (int _num in nums) {
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m = max(m, _num);
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}
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// 2. 统计各数字的出现次数
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// counter[num] 代表 num 的出现次数
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// counter[_num] 代表 _num 的出现次数
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List<int> counter = List.filled(m + 1, 0);
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for (int num in nums) {
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counter[num]++;
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for (int _num in nums) {
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counter[_num]++;
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}
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// 3. 遍历 counter ,将各元素填入原数组 nums
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int i = 0;
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for (int num = 0; num < m + 1; num++) {
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for (int j = 0; j < counter[num]; j++, i++) {
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nums[i] = num;
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for (int _num = 0; _num < m + 1; _num++) {
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for (int j = 0; j < counter[_num]; j++, i++) {
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nums[i] = _num;
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}
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}
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}
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@@ -666,17 +666,17 @@ $$
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void countingSort(List<int> nums) {
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// 1. 统计数组最大元素 m
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int m = 0;
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for (int num in nums) {
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m = max(m, num);
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for (int _num in nums) {
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m = max(m, _num);
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}
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// 2. 统计各数字的出现次数
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// counter[num] 代表 num 的出现次数
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// counter[_num] 代表 _num 的出现次数
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List<int> counter = List.filled(m + 1, 0);
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for (int num in nums) {
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counter[num]++;
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for (int _num in nums) {
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counter[_num]++;
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}
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// 3. 求 counter 的前缀和,将“出现次数”转换为“尾索引”
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// 即 counter[num]-1 是 num 在 res 中最后一次出现的索引
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// 即 counter[_num]-1 是 _num 在 res 中最后一次出现的索引
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for (int i = 0; i < m; i++) {
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counter[i + 1] += counter[i];
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}
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@@ -685,9 +685,9 @@ $$
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int n = nums.length;
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List<int> res = List.filled(n, 0);
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for (int i = n - 1; i >= 0; i--) {
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int num = nums[i];
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res[counter[num] - 1] = num; // 将 num 放置到对应索引处
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counter[num]--; // 令前缀和自减 1 ,得到下次放置 num 的索引
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int _num = nums[i];
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res[counter[_num] - 1] = _num; // 将 _num 放置到对应索引处
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counter[_num]--; // 令前缀和自减 1 ,得到下次放置 _num 的索引
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}
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// 使用结果数组 res 覆盖原数组 nums
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nums.setAll(0, res);
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@@ -465,10 +465,10 @@ $$
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=== "Dart"
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```dart title="radix_sort.dart"
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/* 获取元素 num 的第 k 位,其中 exp = 10^(k-1) */
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int digit(int num, int exp) {
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/* 获取元素 _num 的第 k 位,其中 exp = 10^(k-1) */
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int digit(int _num, int exp) {
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// 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算
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return (num ~/ exp) % 10;
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return (_num ~/ exp) % 10;
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}
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/* 计数排序(根据 nums 第 k 位排序) */
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@@ -502,7 +502,7 @@ $$
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// 获取数组的最大元素,用于判断最大位数
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// dart 中 int 的长度是 64 位的
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int m = -1 << 63;
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for (int num in nums) if (num > m) m = num;
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for (int _num in nums) if (_num > m) m = _num;
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// 按照从低位到高位的顺序遍历
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for (int exp = 1; exp <= m; exp *= 10)
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// 对数组元素的第 k 位执行计数排序
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