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| 1 | +import 'ArrayGenerator.dart'; |
| 2 | + |
| 3 | +/** |
| 4 | + * 二分搜索 |
| 5 | + */ |
| 6 | +class BinarySearch { |
| 7 | + _BinarySearch() {} |
| 8 | + |
| 9 | + static int search<T>(List data, T target) { |
| 10 | + int left = 0, right = data.length - 1; |
| 11 | + |
| 12 | + // 在 data[l, r] 的范围中查找 target |
| 13 | + while (left <= right) { |
| 14 | + int mid = left + ((right - left) / 2).toInt(); |
| 15 | + if (data[mid].compareTo(target) == 0) return mid; |
| 16 | + if (data[mid].compareTo(target) < 0) |
| 17 | + left = mid + 1; |
| 18 | + else |
| 19 | + right = mid - 1; |
| 20 | + } |
| 21 | + return -1; |
| 22 | + } |
| 23 | + |
| 24 | + // > target 的最小值索引 |
| 25 | + static int upper<T>(List arr, T target) { |
| 26 | + int left = 0, right = arr.length; |
| 27 | + while (left < right) { |
| 28 | + int mid = left + ((right - left) / 2).toInt(); |
| 29 | + if (arr[mid].compareTo(target) <= 0) { |
| 30 | + left = mid + 1; |
| 31 | + } else { |
| 32 | + right = mid; |
| 33 | + } |
| 34 | + } |
| 35 | + return left; |
| 36 | + } |
| 37 | + |
| 38 | + // > target ,返回最小值索引 |
| 39 | + // == target,返回最大索引 |
| 40 | + static int upper_ceil<T>(List arr, T target) { |
| 41 | + int u = upper(arr, target); |
| 42 | + if (u - 1 >= 0 && arr[u - 1].compareTo(target) == 0) { |
| 43 | + return u - 1; |
| 44 | + } |
| 45 | + return u; |
| 46 | + } |
| 47 | + |
| 48 | + // >= target 的最小值索引 |
| 49 | + static int lower_ceil<T>(List data, T target) { |
| 50 | + int left = 0, right = data.length; |
| 51 | + // 在 data[l, r] 中寻找解 |
| 52 | + while (left < right) { |
| 53 | + int mid = left + ((right - left) / 2).toInt(); |
| 54 | + if (data[mid].compareTo(target) < 0) |
| 55 | + left = mid + 1; |
| 56 | + else |
| 57 | + right = mid; |
| 58 | + } |
| 59 | + return left; |
| 60 | + } |
| 61 | + |
| 62 | + // < target 的最大值索引 |
| 63 | + static int lower<T>(List data, T target) { |
| 64 | + int left = -1, right = data.length - 1; |
| 65 | + // 在 data[l, r] 中寻找解 |
| 66 | + while (left < right) { |
| 67 | + int mid = left + ((right - left + 1) / 2).toInt(); |
| 68 | + if (data[mid].compareTo(target) < 0) |
| 69 | + left = mid; |
| 70 | + else |
| 71 | + right = mid - 1; |
| 72 | + } |
| 73 | + return left; |
| 74 | + } |
| 75 | + |
| 76 | + // < target ,返回最大值索引 |
| 77 | + // == target,返回最小索引 |
| 78 | + static int lower_floor<T>(List data, T target) { |
| 79 | + int l = lower(data, target); |
| 80 | + if (l + 1 < data.length && data[l + 1].compareTo(target) == 0) return l + 1; |
| 81 | + return l; |
| 82 | + } |
| 83 | + |
| 84 | + // <= target 最大索引 |
| 85 | + static int upper_floor<T>(List data, T target) { |
| 86 | + int left = -1, right = data.length - 1; |
| 87 | + // 在 data[l, r] 中寻找解 |
| 88 | + while (left < right) { |
| 89 | + int mid = left + ((right - left + 1) / 2).toInt(); |
| 90 | + if (data[mid].compareTo(target) <= 0) |
| 91 | + left= mid; |
| 92 | + else |
| 93 | + right = mid - 1; |
| 94 | + } |
| 95 | + return left; |
| 96 | + } |
| 97 | +} |
| 98 | + |
| 99 | +void main() { |
| 100 | +// int n = 1000; |
| 101 | +// List arr2 = ArrayGenerator.generateOrderedArray(n); |
| 102 | +// print(BinarySearch.search(arr2, 50)); |
| 103 | + var arr = [1, 1, 3, 3, 5, 5, 7, 7]; |
| 104 | + for (var i = 0; i <= 6; i++) { |
| 105 | + print(BinarySearch.lower(arr, i)); |
| 106 | + } |
| 107 | +} |
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