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【十大排序】冒泡、插入、希尔、选择、堆、归并、快速、计数、桶、基数
2025-01-03 04:05
好的,以下是C语言实现各种排序方法的代码示例: 1. 冒泡排序 ``` c void bubble_sort(int arr[], int n) { for (int i = 0; i < n - 1; i++) { for (int j = 0; j < n - i - 1; j++) { if (arr[j] > arr[j + 1]) { int temp = arr[j]; arr[j] = arr[j + 1]; arr[j + 1] = temp; } } } } ``` 2. 选择排序 ``` c void selection_sort(int arr[], int n) { for (int i = 0; i < n - 1; i++) { int min_index = i; for (int j = i + 1; j < n; j++) { if (arr[j] < arr[min_index]) { min_index = j; } } int temp = arr[i]; arr[i] = arr[min_index]; arr[min_index] = temp; } } ``` 3. 插入排序 ``` c void insertion_sort(int arr[], int n) { for (int i = 1; i < n; i++) { int key = arr[i]; int j = i - 1; while (j >= 0 && arr[j] > key) { arr[j + 1] = arr[j]; j--; } arr[j + 1] = key; } } ``` 4. 希尔排序 ``` c void shell_sort(int arr[], int n) { for (int gap = n / 2; gap > 0; gap /= 2) { for (int i = gap; i < n; i++) { int temp = arr[i]; int j; for (j = i; j >= gap && arr[j - gap] > temp; j -= gap) { arr[j] = arr[j - gap]; } arr[j] = temp; } } } ``` 5. 快速排序 ``` c void quick_sort(int arr[], int left, int right) { if (left < right) { int pivot = partition(arr, left, right); quick_sort(arr, left, pivot - 1); quick_sort(arr, pivot + 1, right); } } int partition(int arr[], int left, int right) { int pivot = arr[right]; int i = left - 1; for (int j = left; j < right; j++) { if (arr[j] < pivot) { i++; int temp = arr[i]; arr[i] = arr[j]; arr[j] = temp; } } int temp = arr[i + 1]; arr[i + 1] = arr[right]; arr[right] = temp; return i + 1; } ``` 6. 归并排序 ``` c void merge_sort(int arr[], int left, int right) { if (left < right) { int mid = left + (right - left) / 2; merge_sort(arr, left, mid); merge_sort(arr, mid + 1, right); merge(arr, left, mid, right); } } void merge(int arr[], int left, int mid, int right) { int i = left, j = mid + 1, k = 0; int temp[right - left + 1]; while (i <= mid && j <= right) { if (arr[i] < arr[j]) { temp[k++] = arr[i++]; } else { temp[k++] = arr[j++]; } } while (i <= mid) { temp[k++] = arr[i++]; } while (j <= right) { temp[k++] = arr[j++]; } for (int m = left, n = 0; m <= right; m++, n++) { arr[m] = temp[n]; } } ``` 7. 排序 ``` c void heap_sort(int arr[], int n) { for (int i = n / 2 - 1; i >= 0; i--) { heapify(arr, n, i); } for (int i = n - 1; i > 0; i--) { int temp = arr[0]; arr[0] = arr[i]; arr[i] = temp; heapify(arr, i, 0); } } void heapify(int arr[], int n, int i) { int largest = i; int left = 2 * i + 1; int right = 2 * i + 2; if (left < n && arr[left] > arr[largest]) { largest = left; } if (right < n && arr[right] > arr[largest]) { largest = right; } if (largest != i) { int temp = arr[i]; arr[i] = arr[largest]; arr[largest] = temp; heapify(arr, n, largest); } } ``` 8. 计数排序 ``` c void counting_sort(int arr[], int n) { int max = arr[0], min = arr[0]; for (int i = 1; i < n; i++) { if (arr[i] > max) { max = arr[i]; } if (arr[i] < min) { min = arr[i]; } } int count[max - min + 1]; memset(count, 0, sizeof(count)); for (int i = 0; i < n; i++) { count[arr[i] - min]++; } for (int i = 1; i < max - min + 1; i++) { count[i] += count[i - 1]; } int temp[n]; for (int i = n - 1; i >= 0; i--) { temp[--count[arr[i] - min]] = arr[i]; } for (int i = 0; i < n; i++) { arr[i] = temp[i]; } } ``` 9. 排序 ``` c void bucket_sort(int arr[], int n) { int max = arr[0], min = arr[0]; for (int i = 1; i < n; i++) { if (arr[i] > max) { max = arr[i]; } if (arr[i] < min) { min = arr[i]; } } int bucket_num = (max - min) / n + 1; int bucket[bucket_num][n]; int bucket_count[bucket_num]; memset(bucket_count, 0, sizeof(bucket_count)); for (int i = 0; i < n; i++) { int index = (arr[i] - min) / n; bucket[index][bucket_count[index]] = arr[i]; bucket_count[index]++; } int k = 0; for (int i = 0; i < bucket_num; i++) { if (bucket_count[i] > 0) { insertion_sort(bucket[i], bucket_count[i]); for (int j = 0; j < bucket_count[i]; j++) { arr[k++] = bucket[i][j]; } } } } ``` 10. 基数排序 ``` c void radix_sort(int arr[], int n) { int max = arr[0]; for (int i = 1; i < n; i++) { if (arr[i] > max) { max = arr[i]; } } for (int exp = 1; max / exp > 0; exp *= 10) { counting_sort_by_digit(arr, n, exp); } } void counting_sort_by_digit(int arr[], int n, int exp) { int count[10]; memset(count, 0, sizeof(count)); for (int i = 0; i < n; i++) { count[(arr[i] / exp) % 10]++; } for (int i = 1; i < 10; i++) { count[i] += count[i - 1]; } int temp[n]; for (int i = n - 1; i >= 0; i--) { temp[--count[(arr[i] / exp) % 10]] = arr[i]; } for (int i = 0; i < n; i++) { arr[i] = temp[i]; } } ```
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