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| 1 | +namespace HelloDotNetGuide.常见算法 |
| 2 | +{ |
| 3 | + public class 归并排序算法 |
| 4 | + { |
| 5 | + public static void MergeSort(int[] arr, int left, int right) |
| 6 | + { |
| 7 | + if (left < right) |
| 8 | + { |
| 9 | + // 计算中间索引 |
| 10 | + int mid = (left + right) / 2; |
| 11 | + |
| 12 | + // 对左半部分数组进行归并排序 |
| 13 | + MergeSort(arr, left, mid); |
| 14 | + |
| 15 | + // 对右半部分数组进行归并排序 |
| 16 | + MergeSort(arr, mid + 1, right); |
| 17 | + |
| 18 | + // 合并两个有序数组 |
| 19 | + Merge(arr, left, mid, right); |
| 20 | + } |
| 21 | + } |
| 22 | + |
| 23 | + public static void Merge(int[] arr, int left, int mid, int right) |
| 24 | + { |
| 25 | + int n1 = mid - left + 1; // 左半部分数组的长度 |
| 26 | + int n2 = right - mid; // 右半部分数组的长度 |
| 27 | + |
| 28 | + // 创建临时数组 |
| 29 | + int[] leftArr = new int[n1]; |
| 30 | + int[] rightArr = new int[n2]; |
| 31 | + |
| 32 | + // 将数据拷贝到临时数组 |
| 33 | + for (int i = 0; i < n1; ++i) |
| 34 | + { |
| 35 | + leftArr[i] = arr[left + i]; |
| 36 | + } |
| 37 | + |
| 38 | + for (int j = 0; j < n2; ++j) |
| 39 | + { |
| 40 | + rightArr[j] = arr[mid + 1 + j]; |
| 41 | + } |
| 42 | + |
| 43 | + // 合并两个有序数组 |
| 44 | + int k = left; // 初始化合并后的数组索引 |
| 45 | + int p = 0; // 初始化左半部分数组的索引 |
| 46 | + int q = 0; // 初始化右半部分数组的索引 |
| 47 | + |
| 48 | + while (p < n1 && q < n2) |
| 49 | + { |
| 50 | + if (leftArr[p] <= rightArr[q]) |
| 51 | + { |
| 52 | + arr[k] = leftArr[p]; |
| 53 | + p++; |
| 54 | + } |
| 55 | + else |
| 56 | + { |
| 57 | + arr[k] = rightArr[q]; |
| 58 | + q++; |
| 59 | + } |
| 60 | + k++; |
| 61 | + } |
| 62 | + |
| 63 | + // 复制左半部分数组的剩余元素 |
| 64 | + while (p < n1) |
| 65 | + { |
| 66 | + arr[k] = leftArr[p]; |
| 67 | + p++; |
| 68 | + k++; |
| 69 | + } |
| 70 | + |
| 71 | + // 复制右半部分数组的剩余元素 |
| 72 | + while (q < n2) |
| 73 | + { |
| 74 | + arr[k] = rightArr[q]; |
| 75 | + q++; |
| 76 | + k++; |
| 77 | + } |
| 78 | + } |
| 79 | + |
| 80 | + public static void MergeSortRun() |
| 81 | + { |
| 82 | + int[] array = { 19, 27, 46, 48, 50, 2, 4, 44, 47, 36, 38, 15, 26, 5, 3 }; |
| 83 | + Console.WriteLine("排序前数组:" + string.Join(", ", array)); |
| 84 | + |
| 85 | + MergeSort(array, 0, array.Length - 1); |
| 86 | + |
| 87 | + Console.WriteLine("排序后数组:" + string.Join(", ", array)); |
| 88 | + } |
| 89 | + } |
| 90 | +} |
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