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/**
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* File: space_complexity.swift
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* Created Time: 2023-01-01
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* Author: nuomi1 (nuomi1@qq.com)
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*/
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import utils
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/* 函数 */
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@discardableResult
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func function() -> Int {
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// 执行某些操作
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return 0
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}
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/* 常数阶 */
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func constant(n: Int) {
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// 常量、变量、对象占用 O(1) 空间
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let a = 0
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var b = 0
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let nums = Array(repeating: 0, count: 10000)
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let node = ListNode(x: 0)
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// 循环中的变量占用 O(1) 空间
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for _ in 0 ..< n {
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let c = 0
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}
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// 循环中的函数占用 O(1) 空间
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for _ in 0 ..< n {
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function()
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}
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}
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/* 线性阶 */
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func linear(n: Int) {
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// 长度为 n 的数组占用 O(n) 空间
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let nums = Array(repeating: 0, count: n)
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// 长度为 n 的列表占用 O(n) 空间
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let nodes = (0 ..< n).map { ListNode(x: $0) }
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// 长度为 n 的哈希表占用 O(n) 空间
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let map = Dictionary(uniqueKeysWithValues: (0 ..< n).map { ($0, "\($0)") })
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}
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/* 线性阶(递归实现) */
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func linearRecur(n: Int) {
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print("递归 n = \(n)")
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if n == 1 {
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return
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}
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linearRecur(n: n - 1)
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}
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/* 平方阶 */
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func quadratic(n: Int) {
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// 二维列表占用 O(n^2) 空间
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let numList = Array(repeating: Array(repeating: 0, count: n), count: n)
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}
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/* 平方阶(递归实现) */
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@discardableResult
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func quadraticRecur(n: Int) -> Int {
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if n <= 0 {
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return 0
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}
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// 数组 nums 长度为 n, n-1, ..., 2, 1
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let nums = Array(repeating: 0, count: n)
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print("递归 n = \(n) 中的 nums 长度 = \(nums.count)")
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return quadraticRecur(n: n - 1)
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}
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/* 指数阶(建立满二叉树) */
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func buildTree(n: Int) -> TreeNode? {
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if n == 0 {
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return nil
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}
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let root = TreeNode(x: 0)
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root.left = buildTree(n: n - 1)
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root.right = buildTree(n: n - 1)
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return root
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}
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@main
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enum SpaceComplexity {
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/* Driver Code */
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static func main() {
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let n = 5
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// 常数阶
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constant(n: n)
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// 线性阶
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linear(n: n)
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linearRecur(n: n)
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// 平方阶
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quadratic(n: n)
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quadraticRecur(n: n)
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// 指数阶
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let root = buildTree(n: n)
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PrintUtil.printTree(root: root)
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}
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}
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