/** * File: space_complexity.dart * Created Time: 2023-2-12 * Author: Jefferson (JeffersonHuang77@gmail.com) */ // ignore_for_file: unused_local_variable import 'dart:collection'; import '../utils/list_node.dart'; import '../utils/print_util.dart'; import '../utils/tree_node.dart'; /* Function */ int function() { // Perform some operations return 0; } /* Constant complexity */ void constant(int n) { // Constants, variables, objects occupy O(1) space final int a = 0; int b = 0; List nums = List.filled(10000, 0); ListNode node = ListNode(0); // Variables in a loop occupy O(1) space for (var i = 0; i < n; i++) { int c = 0; } // Functions in a loop occupy O(1) space for (var i = 0; i < n; i++) { function(); } } /* Linear complexity */ void linear(int n) { // Array of length n occupies O(n) space List nums = List.filled(n, 0); // A list of length n occupies O(n) space List nodes = []; for (var i = 0; i < n; i++) { nodes.add(ListNode(i)); } // A hash table of length n occupies O(n) space Map map = HashMap(); for (var i = 0; i < n; i++) { map.putIfAbsent(i, () => i.toString()); } } /* Linear complexity (recursive implementation) */ void linearRecur(int n) { print('递归 n = $n'); if (n == 1) return; linearRecur(n - 1); } /* Quadratic complexity */ void quadratic(int n) { // Matrix occupies O(n^2) space List> numMatrix = List.generate(n, (_) => List.filled(n, 0)); // A two-dimensional list occupies O(n^2) space List> numList = []; for (var i = 0; i < n; i++) { List tmp = []; for (int j = 0; j < n; j++) { tmp.add(0); } numList.add(tmp); } } /* Quadratic complexity (recursive implementation) */ int quadraticRecur(int n) { if (n <= 0) return 0; List nums = List.filled(n, 0); print('递归 n = $n 中的 nums 长度 = ${nums.length}'); return quadraticRecur(n - 1); } /* Exponential complexity (building a full binary tree) */ TreeNode? buildTree(int n) { if (n == 0) return null; TreeNode root = TreeNode(0); root.left = buildTree(n - 1); root.right = buildTree(n - 1); return root; } /* Driver Code */ void main() { int n = 5; // Constant complexity constant(n); // Linear complexity linear(n); linearRecur(n); // Quadratic complexity quadratic(n); quadraticRecur(n); // Exponential complexity TreeNode? root = buildTree(n); printTree(root); }