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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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