// Two Pointers - In-place array modification const modifyArray = (arr) => { let writePointer = 0; for (let readPointer = 0; readPointer { let slow = head, fast = head; while (fast && fast.next) { slow = slow.next; fast = fast.next.next; if (slow === fast) return true; } return false; }; // Sliding Window - Fixed Size const fixedSlidingWindow = (arr, k) => { let sum = 0; // Initialize first window for (let i = 0; i { let start = 0, sum = 0, minLen = Infinity; for (let end = 0; end = target) { minLen = Math.min(minLen, end - start + 1); sum -= arr[start]; start++; } } return minLen === Infinity ? 0 : minLen; }; // BFS - Level Order Traversal const levelOrder = (root) => { if (!root) return []; const result = []; const queue = [root]; while (queue.length) { const levelSize = queue.length; const currentLevel = []; for (let i = 0; i { const result = []; const traverse = (node) => { if (!node) return; // Pre-order result.push(node.val); traverse(node.left); // In-order would be here traverse(node.right); // Post-order would be here }; traverse(root); return result; }; // Backtracking Template const backtrack = (nums) => { const result = []; const bt = (path, choices) => { if (/* ending condition */) { result.push([...path]); return; } for (let i = 0; i { const dp = new Array(n + 1).fill(0); dp[0] = 1; // Base case for (let i = 1; i { const memo = new Map(); const dp = (n) => { if (n { const stack = []; // [index, value] const result = new Array(arr.length).fill(-1); for (let i = 0; i arr[i]) { const [prevIndex, _] = stack.pop(); result[prevIndex] = i - prevIndex; } stack.push([i, arr[i]]); } return result; }; // Prefix Sum const prefixSum = (arr) => { const prefix = [0]; for (let i = 0; i { let left = 0, right = arr.length; while (left { let left = 0, right = arr.length; while (left i); this.rank = new Array(n).fill(0); } find(x) { if (this.parent[x] !== x) { this.parent[x] = this.find(this.parent[x]); // Path compression } return this.parent[x]; } union(x, y) { let rootX = this.find(x); let rootY = this.find(y); if (rootX !== rootY) { if (this.rank[rootX] <h2> 常见的时间/空间复杂度模式 </h2> <pre class="brush:php;toolbar:false">// O(1) - Constant Array.push(), Array.pop(), Map.set(), Map.get() // O(log n) - Logarithmic Binary Search, Balanced BST operations // O(n) - Linear Array traversal, Linear Search // O(n log n) - Linearithmic Efficient sorting (Array.sort()) // O(n²) - Quadratic Nested loops, Simple sorting algorithms // O(2ⁿ) - Exponential Recursive solutions without memoization
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