{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# High Frequency\n", "\n", "See notes how I got this list. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import IPython; IPython.display.HTML('''
''')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "| 題目名稱 | 難度 | Freq | ZXI | BL75 | LC75 | LC150 |\n", "|----------|------|----------|-----|------|------|--------|\n", "| [1. Two Sum](https://leetcode.com/problems/two-sum/) | Easy | 4 | o | o | o | o |\n", "| [121. Best Time to Buy and Sell Stock](https://leetcode.com/problems/best-time-to-buy-and-sell-stock/) | Easy | 4 | o | o | o | o |\n", "| [20. Valid Parentheses](https://leetcode.com/problems/valid-parentheses/) | Easy | 4 | o | o | o | o |\n", "| [21. Merge Two Sorted Lists](https://leetcode.com/problems/merge-two-sorted-lists/) | Easy | 4 | o | o | o | o |\n", "| [242. Valid Anagram](https://leetcode.com/problems/valid-anagram/) | Easy | 4 | o | o | o | o |\n", "| [226. Invert Binary Tree](https://leetcode.com/problems/invert-binary-tree/) | Easy | 4 | o | o | o | o |\n", "| [141. Linked List Cycle](https://leetcode.com/problems/linked-list-cycle/) | Easy | 4 | o | o | o | o |\n", "| [206. Reverse Linked List](https://leetcode.com/problems/reverse-linked-list/) | Easy | 4 | o | o | o | o |\n", "| [53. Maximum Subarray](https://leetcode.com/problems/maximum-subarray/) | Medium | 4 | o | o | o | o |\n", "| [238. Product of Array Except Self](https://leetcode.com/problems/product-of-array-except-self/) | Medium | 4 | o | o | o | o |\n", "| [102. Binary Tree Level Order Traversal](https://leetcode.com/problems/binary-tree-level-order-traversal/) | Medium | 4 | o | o | o | o |\n", "| [56. Merge Intervals](https://leetcode.com/problems/merge-intervals/) | Medium | 4 | o | o | o | o |\n", "| [33. Search in Rotated Sorted Array](https://leetcode.com/problems/search-in-rotated-sorted-array/) | Medium | 4 | o | o | o | o |\n", "| [3. Longest Substring Without Repeating Characters](https://leetcode.com/problems/longest-substring-without-repeating-characters/) | Medium | 4 | o | o | o | o |\n", "| [139. Word Break](https://leetcode.com/problems/word-break/) | Medium | 4 | o | o | o | o |\n", "| [207. Course Schedule](https://leetcode.com/problems/course-schedule/) | Medium | 4 | o | o | o | o |\n", "| [125. Valid Palindrome](https://leetcode.com/problems/valid-palindrome/) | Easy | 3 | o | o | _ | o |\n", "| [217. Contains Duplicate](https://leetcode.com/problems/contains-duplicate/) | Easy | 3 | o | o | _ | o |\n", "| [70. Climbing Stairs](https://leetcode.com/problems/climbing-stairs/) | Easy | 3 | o | o | o | _ |\n", "| [252. Meeting Rooms](https://leetcode.com/problems/meeting-rooms/) | Easy | 3 | o | o | o | _ |\n", "| [253. Meeting Rooms II](https://leetcode.com/problems/meeting-rooms-ii/) | Medium | 3 | o | o | o | _ |\n", "| [49. Group Anagrams](https://leetcode.com/problems/group-anagrams/) | Medium | 3 | o | o | _ | o |\n", "| [5. Longest Palindromic Substring](https://leetcode.com/problems/longest-palindromic-substring/) | Medium | 3 | o | o | _ | o |\n", "| [647. Palindromic Substrings](https://leetcode.com/problems/palindromic-substrings/) | Medium | 3 | o | o | _ | o |\n", "| [271. Encode and Decode Strings](https://leetcode.com/problems/encode-and-decode-strings/) | Medium | 3 | _ | o | o | o |\n", "| [230. Kth Smallest Element in a BST](https://leetcode.com/problems/kth-smallest-element-in-a-bst/) | Medium | 3 | o | o | _ | o |\n", "| [235. Lowest Common Ancestor of BST](https://leetcode.com/problems/lowest-common-ancestor-of-a-binary-search-tree/) | Medium | 3 | o | o | _ | o |\n", "| [208. Implement Trie](https://leetcode.com/problems/implement-trie-prefix-tree/) | Medium | 3 | o | o | _ | o |\n", "| [211. Add and Search Word](https://leetcode.com/problems/add-and-search-word-data-structure-design/) | Medium | 3 | o | o | _ | o |\n", "| [347. Top K Frequent Elements](https://leetcode.com/problems/top-k-frequent-elements/) | Medium | 3 | o | o | _ | o |\n", "| [322. Coin Change](https://leetcode.com/problems/coin-change/) | Medium | 3 | o | o | o | _ |\n", "| [198. House Robber](https://leetcode.com/problems/house-robber/) | Medium | 3 | o | o | o | _ |\n", "| [62. Unique Paths](https://leetcode.com/problems/unique-paths/) | Medium | 3 | o | o | o | _ |\n", "| [55. Jump Game](https://leetcode.com/problems/jump-game/) | Medium | 3 | o | o | o | _ |\n", "| [133. Clone Graph](https://leetcode.com/problems/clone-graph/) | Medium | 3 | o | o | o | _ |\n", "| [200. Number of Islands](https://leetcode.com/problems/number-of-islands/) | Medium | 3 | o | o | o | _ |\n", "| [261. Graph Valid Tree](https://leetcode.com/problems/graph-valid-tree/) | Medium | 3 | o | o | o | _ |\n", "| [57. Insert Interval](https://leetcode.com/problems/insert-interval/) | Medium | 3 | o | o | o | _ |\n", "| [435. Non-overlapping Intervals](https://leetcode.com/problems/non-overlapping-intervals/) | Medium | 3 | o | o | o | _ |\n", "| [212. Word Search II](https://leetcode.com/problems/word-search-ii/) | Hard | 3 | o | o | _ | o |\n", "| [295. Find Median from Data Stream](https://leetcode.com/problems/find-median-from-data-stream/) | Hard | 3 | o | o | _ | o |\n", "| [269. Alien Dictionary](https://leetcode.com/problems/alien-dictionary/) | Hard | 3 | o | o | o | _ |" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 2, 3]\n", "[1, 2, 3]\n" ] } ], "source": [ "class ListNode:\n", " def __init__(self, val=0, next=None):\n", " self.val = val\n", " self.next = next\n", " \n", " def __repr__(self):\n", " cur = self\n", " vals = []\n", " while cur:\n", " vals.append(cur.val)\n", " cur = cur.next\n", " return str(vals)\n", " \n", "class List:\n", " def __init__(self, vals):\n", " if not vals:\n", " raise ValueError('Must initialize List with a non-empty array. ')\n", " cur = self.head = ListNode(vals[0])\n", " for val in vals[1:]:\n", " cur.next = ListNode(val)\n", " cur = cur.next\n", " \n", " def __repr__(self):\n", " return str(self.head)\n", " \n", "print(List([1, 2, 3]).head)\n", "print(List([1, 2, 3]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [1. Two Sum](https://leetcode.com/problems/two-sum/description/)\n", "\n", "Easy\n", "\n", "Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.\n", "\n", "You may assume that each input would have exactly one solution, and you may not use the same element twice.\n", "\n", "You can return the answer in any order.\n", "\n", "\n", " Example:\n", " \n", " Input: nums = [2,7,11,15], target = 9\n", " Output: [0,1]\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0, 1]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nums = [2, 7, 11, 15]\n", "target = 9\n", "\n", "def twoSum(nums, target):\n", " d = {}\n", " for idx, n in enumerate(nums):\n", " if target - n in d:\n", " return [d[target - n], idx]\n", " else:\n", " d[n] = idx\n", "\n", "twoSum(nums, target)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [121. Best Time to Buy and Sell Stock](https://leetcode.com/problems/best-time-to-buy-and-sell-stock/description/)\n", "\n", "Easy\n", "\n", "Say you have an array for which the ith element is the price of a given stock on day i.\n", "\n", "If you were only permitted to complete at most one transaction (i.e., buy one and sell one share of the stock), design an algorithm to find the maximum profit.\n", "\n", "Note that you cannot sell a stock before you buy one.\n", "\n", " Example:\n", " \n", " Input: [7,1,5,3,6,4]\n", " Output: 5\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from math import inf\n", "\n", "def maxProfit(prices):\n", " cur_min = inf\n", " max_profit = 0\n", " for price in prices:\n", " cur_min = min(cur_min, price)\n", " max_profit = max(max_profit, price - cur_min)\n", "\n", " return max_profit\n", "\n", "\n", "prices = [7, 1, 5, 3, 6, 4]\n", "\n", "maxProfit(prices)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [20. Valid Parentheses](https://leetcode.com/problems/valid-parentheses/)\n", "\n", "Easy\n", "\n", "Given a string s containing just the characters '(', ')', '{', '}', '[' and ']', determine if the input string is valid.\n", "\n", "An input string is valid if: 1. Open brackets must be closed by the same type of brackets, 2. Open brackets must be closed in the correct order, and 3. Every close bracket has a corresponding open bracket of the same type.\n", " \n", " Example 1:\n", " \n", " Input: s = \"()\"\n", " Output: true\n", " \n", " Example 2:\n", " \n", " Input: s = \"()[]{}\"\n", " Output: true\n", " \n", " Constraints:\n", " \n", " 1 <= s.length <= 104\n", " s consists of parentheses only '()[]{}'." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# best solution by AI\n", "# 遇 closing 時 stack 最上層必需是 matching open\n", "\n", "def isValid(s):\n", " stack = []\n", " match = {')': '(', \n", " ']': '[', \n", " '}': '{'}\n", " \n", " for c in s:\n", " if c in match:\n", " if not stack or stack[-1] != match[c]:\n", " return False\n", " stack.pop()\n", " else:\n", " stack.append(c)\n", " \n", " return not stack\n", "\n", "isValid('([)]')" ] }, { "attachments": { "c1ab0593-1a64-4717-b4fb-7f799988bd6b.png": { 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## [21. Merge Two Sorted Lists](https://leetcode.com/problems/merge-two-sorted-lists/)\n", "\n", "Easy\n", "\n", "Merge two sorted linked lists and return it as a sorted list. The list should be made by splicing together the nodes of the first two lists. \n", "\n", " Example 1:\n", "\n", "![image21.png](attachment:c1ab0593-1a64-4717-b4fb-7f799988bd6b.png)\n", "\n", " Input: l1 = [1,2,4], l2 = [1,3,4]\n", " Output: [1,1,2,3,4,4]\n", "\n", " Constraints:\n", "\n", " The number of nodes in both lists is in the range [0, 50].\n", " -100 <= Node.val <= 100\n", " Both l1 and l2 are sorted in non-decreasing order." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 1, 2, 3, 4, 4]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 有可能 l1 l2 都是 empty 所以要用 dummy node\n", "\n", "def mergeTwoLists(l1, l2):\n", " dummy = cur = ListNode()\n", " while l1 and l2:\n", " if l1.val < l2.val:\n", " cur.next = l1\n", " l1 = l1.next\n", " else:\n", " cur.next = l2\n", " l2 = l2.next\n", "\n", " cur = cur.next\n", "\n", " if not l1:\n", " cur.next = l2\n", " if not l2:\n", " cur.next = l1\n", "\n", " return dummy.next\n", "\n", "\n", "lst1 = List([1, 2, 4])\n", "lst2 = List([1, 3, 4])\n", "mergeTwoLists(lst1.head, lst2.head)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [242. Valid Anagram](https://leetcode.com/problems/valid-anagram/description/)\n", "\n", "Easy\n", "\n", "Given two strings s and t, return true if t is an anagram of s, and false otherwise.\n", "\n", " \n", "\n", " Example 1:\n", " \n", " Input: s = \"anagram\", t = \"nagaram\"\n", " Output: true\n", " \n", " Example 2:\n", " \n", " Input: s = \"rat\", t = \"car\"\n", " Output: false\n", " \n", " Constraints:\n", " \n", " 1 <= s.length, t.length <= 5 * 104\n", " s and t consist of lowercase English letters.\n", " \n", "\n", "Follow up: What if the inputs contain Unicode characters? How would you adapt your solution to such a case?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from collections import Counter\n", "\n", "def isAnagram(s, t):\n", " return Counter(s) == Counter(t)\n", "\n", "s = \"anagram\"\n", "t = \"nagaram\"\n", "\n", "isAnagram(s, t)" ] }, { "attachments": { "c83cda8f-1c93-40b5-ad42-5d126b18bbec.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## [226. Invert Binary Tree](https://leetcode.com/problems/invert-binary-tree/submissions/1702965281/)\n", "\n", "Easy\n", "\n", "Given the root of a binary tree, invert the tree, and return its root.\n", "\n", " Example 1:\n", " \n", " Input: root = [4,2,7,1,3,6,9]\n", " Output: [4,7,2,9,6,3,1]\n", " \n", "![image.png](attachment:c83cda8f-1c93-40b5-ad42-5d126b18bbec.png)\n", " \n", " Constraints:\n", " \n", " The number of nodes in the tree is in the range [0, 100].\n", " -100 <= Node.val <= 100\n", "\n", "Trivia:\n", "This problem was inspired by this original tweet by Max Howell:\n", "\n", " Google: 90% of our engineers use the software you wrote (Homebrew), but you can’t invert a binary tree on a whiteboard so f*** off.\n", "\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Definition for a binary tree node.\n", "# class TreeNode:\n", "# def __init__(self, val=0, left=None, right=None):\n", "# self.val = val\n", "# self.left = left\n", "# self.right = right\n", "\n", "def invertTree(root):\n", " if root:\n", " root.left, root.right = invertTree(root.right), invertTree(root.left)\n", " return root" ] }, { "attachments": { "090ae9aa-7ccc-45f0-b67b-bf263be66a66.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## [141. Linked List Cycle](https://leetcode.com/problems/linked-list-cycle/)\n", "\n", "Easy\n", "\n", "Given head, the head of a linked list, determine if the linked list has a cycle in it.\n", "\n", "There is a cycle in a linked list if there is some node in the list that can be reached again by continuously following the next pointer. Internally, pos is used to denote the index of the node that tail's next pointer is connected to. Note that pos is not passed as a parameter.\n", "\n", "Return true if there is a cycle in the linked list. Otherwise, return false.\n", "\n", " Example 1:\n", "\n", "![image141.png](attachment:090ae9aa-7ccc-45f0-b67b-bf263be66a66.png)\n", "\n", " Input: head = [3,2,0,-4], pos = 1\n", " Output: true\n", " Explanation: There is a cycle in the linked list, where the tail connects to the 1st node (0-indexed).\n", "\n", " Constraints:\n", "\n", " The number of the nodes in the list is in the range [0, 10^4].\n", " -10^5 <= Node.val <= 10^5\n", " pos is -1 or a valid index in the linked-list.\n", "\n", " \n", " Follow up: Can you solve it using O(1) (i.e. constant) memory?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def hasCycle(head):\n", " fast = slow = head\n", " while fast and fast.next:\n", " fast = fast.next.next\n", " slow = slow.next\n", " if fast is slow: \n", " return True\n", " \n", " return False" ] }, { "attachments": { "ac027f18-9483-4e10-b453-ca589fc5df4a.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## [206. Reverse Linked List](https://leetcode.com/problems/reverse-linked-list/)\n", "\n", "Easy\n", "\n", "Given the head of a singly linked list, reverse the list, and return the reversed list.\n", "\n", " Example 1:\n", "\n", "![image206.png](attachment:ac027f18-9483-4e10-b453-ca589fc5df4a.png)\n", "\n", " Input: head = [1,2,3,4,5]\n", " Output: [5,4,3,2,1]\n", "\n", " Constraints:\n", "\n", " The number of nodes in the list is the range [0, 5000].\n", " -5000 <= Node.val <= 5000\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[5, 4, 3, 2, 1]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Hannah's solution:不改指標而是倒著長一個新的 list\n", "# 實測比改指標用到更多 memory\n", "\n", "def reverseList(head):\n", " res = None\n", " while head:\n", " res = ListNode(val=head.val, next=res)\n", " head = head.next\n", " return res\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "reverseList(lst.head)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[5, 4, 3, 2, 1]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 改指標;迴圈裡用 tmp 寫比較直觀 readable\n", "# 雖然也可以用 tuple unpacking 寫成 cur.next, prev, cur = prev, cur, cur.next\n", "\n", "def reverseList(head):\n", " prev = None\n", " cur = head\n", " while cur:\n", " tmp = cur.next\n", " cur.next = prev\n", " prev = cur\n", " cur = tmp\n", " \n", " return prev\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "reverseList(lst.head)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[5, 4, 3, 2, 1]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# recursive solution from the repo\n", "# 遞迴呼叫完成時的狀態是 1 -> 2 <- 3 <- 4 <- 5,head 是 1\n", "\n", "def reverseList(head):\n", " if head is None or head.next is None:\n", " return head\n", "\n", " reverse = reverseList(head.next)\n", " head.next.next = head\n", " head.next = None\n", " \n", " return reverse\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "reverseList(lst.head)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[53. Maximum Subarray](https://leetcode.com/problems/maximum-subarray/description/)\n", "\n", "Medium\n", "\n", "Given an integer array nums, find the subarray with the largest sum, and return its sum.\n", "\n", " Example 1:\n", " \n", " Input: nums = [-2,1,-3,4,-1,2,1,-5,4]\n", " Output: 6\n", " Explanation: The subarray [4,-1,2,1] has the largest sum 6.\n", " \n", " Example 2:\n", " \n", " Input: nums = [1]\n", " Output: 1\n", " Explanation: The subarray [1] has the largest sum 1.\n", " \n", " Constraints:\n", " \n", " 1 <= nums.length <= 105\n", " -104 <= nums[i] <= 104\n", " \n", " Follow up: If you have figured out the O(n) solution, try coding another solution using the divide and conquer approach, which is more subtle." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Kadane's algorithm: Maximum subarray ending $n_i$ is either [n_i], or the maximum subarray ending n_{i-1}, with n_i\n", "\n", "def maxSubArray(nums):\n", " curr_max = global_max = nums[0]\n", " for n in nums[1:]:\n", " curr_max = max(n, curr_max + n)\n", " global_max = max(curr_max, global_max)\n", "\n", " return global_max\n", "\n", "nums = [-2, 1, -3, 4, -1, 2, 1, -5, 4]\n", "maxSubArray(nums)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [238. Product of Array Except Self](https://leetcode.com/problems/product-of-array-except-self/description/)\n", "\n", "Medium\n", "\n", "Given an integer array nums, return an array answer such that answer[i] is equal to the product of all the elements of nums except nums[i].\n", "\n", "The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer.\n", "\n", "You must write an algorithm that runs in O(n) time and without using the division operation.\n", "\n", " Example 1:\n", " \n", " Input: nums = [1,2,3,4]\n", " Output: [24,12,8,6]\n", " Example 2:\n", " \n", " Input: nums = [-1,1,0,-3,3]\n", " Output: [0,0,9,0,0] \n", " \n", " Constraints:\n", " \n", " 2 <= nums.length <= 105\n", " -30 <= nums[i] <= 30\n", " The input is generated such that answer[i] is guaranteed to fit in a 32-bit integer.\n", " \n", " Follow up: Can you solve the problem in O(1) extra space complexity? (The output array does not count as extra space for space complexity analysis.)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[24, 12, 8, 6]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 兩次遍歷陣列,分別計算每個位置左側與右側的乘積並將結果相乘\n", "\n", "def productExceptSelf(nums):\n", " n = len(nums)\n", " res = [1] * n\n", "\n", " # 左側乘積\n", " left = 1\n", " for i in range(n):\n", " res[i] = left\n", " left *= nums[i]\n", "\n", " # 右側乘積\n", " right = 1\n", " for i in range(n - 1, -1, -1):\n", " res[i] *= right\n", " right *= nums[i]\n", "\n", " return res\n", "\n", "nums = [1, 2, 3, 4]\n", "\n", "productExceptSelf(nums)" ] }, { "attachments": { "19d72dbe-b0c0-44d2-8df1-acfc9159885f.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## [102. Binary Tree Level Order Traversal](https://leetcode.com/problems/binary-tree-level-order-traversal/)\n", "\n", "Medium\n", "\n", "Given the root of a binary tree, return the level order traversal of its nodes' values. (i.e., from left to right, level by level).\n", "\n", "\n", " Example 1:\n", "\n", "![image102.png](attachment:19d72dbe-b0c0-44d2-8df1-acfc9159885f.png)\n", "\n", " Input: root = [3,9,20,null,null,15,7]\n", " Output: [[3],[9,20],[15,7]] \n", "\n", " Constraints:\n", "\n", " The number of nodes in the tree is in the range [0, 2000].\n", " -1000 <= Node.val <= 1000\n", "\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# BFS\n", "\n", "from collections import deque\n", "\n", "def levelOrder(root):\n", " q = deque()\n", " if root:\n", " q.append(root)\n", "\n", " res = []\n", " while q:\n", " level = []\n", " for _ in range(len(q)):\n", " node = q.popleft()\n", " level.append(node.val)\n", " if node.left:\n", " q.append(node.left)\n", " if node.right:\n", " q.append(node.right)\n", " \n", " res.append(level)\n", " return res" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [151. Reverse Words in a String](https://leetcode.com/problems/reverse-words-in-a-string/description/)\n", "\n", "Medium\n", "\n", "Given an input string s, reverse the order of the words.\n", "\n", "A word is defined as a sequence of non-space characters. The words in s will be separated by at least one space.\n", "\n", "Return a string of the words in reverse order concatenated by a single space.\n", "\n", "Note that s may contain leading or trailing spaces or multiple spaces between two words. The returned string should only have a single space separating the words. Do not include any extra spaces.\n", "\n", "\n", " Example 1:\n", " \n", " Input: s = \"the sky is blue\"\n", " Output: \"blue is sky the\"\n", " Example 2:\n", " \n", " Input: s = \" hello world \"\n", " Output: \"world hello\"\n", " Explanation: Your reversed string should not contain leading or trailing spaces.\n", " Example 3:\n", " \n", " Input: s = \"a good example\"\n", " Output: \"example good a\"\n", " Explanation: You need to reduce multiple spaces between two words to a single space in the reversed string.\n", " \n", " \n", " Constraints:\n", " \n", " 1 <= s.length <= 104\n", " s contains English letters (upper-case and lower-case), digits, and spaces ' '.\n", " There is at least one word in s.\n", " \n", " \n", " Follow-up: If the string data type is mutable in your language, can you solve it in-place with O(1) extra space?" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'blue is sky the'" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import re\n", "\n", "def reverseWords(s):\n", " return ' '.join(re.sub(r'\\s{2,}', ' ', s).strip().split(' ')[::-1])\n", "\n", "s = \"the sky is blue\"\n", "reverseWords(s)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'blue is sky the'" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# python string split 如果不 specify sep,就會自己抓連續空白字元當作 separator,不需要 re.sub\n", "\n", "def reverseWords(s):\n", " return ' '.join(s.strip().split()[::-1])\n", "\n", "s = \"the sky is blue\"\n", "reverseWords(s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [139. Word Break](https://leetcode.com/problems/word-break/description/)\n", "\n", "Medium\n", "\n", "Given a string s and a dictionary of strings wordDict, return true if s can be segmented into a space-separated sequence of one or more dictionary words.\n", "\n", "Note that the same word in the dictionary may be reused multiple times in the segmentation.\n", "\n", " Example 1:\n", " \n", " Input: s = \"leetcode\", wordDict = [\"leet\",\"code\"]\n", " Output: true\n", " Explanation: Return true because \"leetcode\" can be segmented as \"leet code\".\n", " \n", " Example 2:\n", " \n", " Input: s = \"applepenapple\", wordDict = [\"apple\",\"pen\"]\n", " Output: true\n", " Explanation: Return true because \"applepenapple\" can be segmented as \"apple pen apple\".\n", " Note that you are allowed to reuse a dictionary word.\n", " \n", " Example 3:\n", " \n", " Input: s = \"catsandog\", wordDict = [\"cats\",\"dog\",\"sand\",\"and\",\"cat\"]\n", " Output: false\n", "\n", " \n", " Constraints:\n", " \n", " 1 <= s.length <= 300\n", " 1 <= wordDict.length <= 1000\n", " 1 <= wordDict[i].length <= 20\n", " s and wordDict[i] consist of only lowercase English letters.\n", " All the strings of wordDict are unique." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# memoized version by AI, accepted on leetcode\n", "\n", "def wordBreak(s, wordDict, memo=None):\n", " if memo is None:\n", " memo = {}\n", "\n", " if s in memo:\n", " return memo[s]\n", "\n", " if not s:\n", " return True\n", "\n", " for word in wordDict:\n", " if s.startswith(word):\n", " if wordBreak(s[len(word):], wordDict, memo):\n", " memo[s] = True\n", " return True\n", "\n", " memo[s] = False\n", " return False\n", "\n", "s = \"catsandog\"\n", "wordDict = [\"cats\", \"dog\", \"sand\", \"and\", \"cat\"]\n", "wordBreak(s, wordDict)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [198. House Robber](https://leetcode.com/problems/house-robber/description/)\n", "\n", "Medium\n", "\n", "You are a professional robber planning to rob houses along a street. Each house has a certain amount of money stashed, the only constraint stopping you from robbing each of them is that adjacent houses have security systems connected and it will automatically contact the police if two adjacent houses were broken into on the same night.\n", "\n", "Given an integer array nums representing the amount of money of each house, return the maximum amount of money you can rob tonight without alerting the police.\n", "\n", " Example 1:\n", " \n", " Input: nums = [1,2,3,1]\n", " Output: 4\n", " Explanation: Rob house 1 (money = 1) and then rob house 3 (money = 3).\n", " Total amount you can rob = 1 + 3 = 4.\n", " \n", " Example 2:\n", " \n", " Input: nums = [2,7,9,3,1]\n", " Output: 12\n", " Explanation: Rob house 1 (money = 2), rob house 3 (money = 9) and rob house 5 (money = 1).\n", " Total amount you can rob = 2 + 9 + 1 = 12.\n", " \n", " \n", " Constraints:\n", " \n", " 1 <= nums.length <= 100\n", " 0 <= nums[i] <= 400" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "12" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def rob(nums):\n", " n = len(nums)\n", " if n == 1:\n", " return nums[0]\n", " \n", " dp = [0] * n\n", " dp[0] = nums[0]\n", " dp[1] = max(nums[0], nums[1])\n", " \n", " for i in range(2, n):\n", " dp[i] = max(dp[i - 1], dp[i - 2] + nums[i])\n", " \n", " return dp[-1]\n", "\n", "\n", "nums = [2, 7, 9, 3, 1]\n", "\n", "rob(nums)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [200. Number of Islands](https://leetcode.com/problems/number-of-islands/description/)\n", "\n", "Medium\n", "\n", "Given an m x n 2d grid map of '1's (land) and '0's (water), return the number of islands.\n", "\n", "An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.\n", "\n", "\n", " Example 1:\n", "\n", " Input: grid = [\n", " [\"1\",\"1\",\"0\",\"0\",\"0\"],\n", " [\"1\",\"1\",\"0\",\"0\",\"0\"],\n", " [\"0\",\"0\",\"1\",\"0\",\"0\"],\n", " [\"0\",\"0\",\"0\",\"1\",\"1\"]\n", " ]\n", " Output: 3\n", "\n", " Constraints:\n", "\n", " m == grid.length\n", " n == grid[i].length\n", " 1 <= m, n <= 300\n", " grid[i][j] is '0' or '1'." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 遇到 1 就 dfs 把週圍都塗成 0 然後 counter 加 1\n", "# 很容易忘記 grid 裡是 char 而不是 int 然後寫成 if grid[i][j] == 1\n", "\n", "def numIslands(grid):\n", " def dfs(grid, i, j):\n", " if grid[i][j] == '0':\n", " return \n", " else:\n", " grid[i][j] = '0'\n", "\n", " if i+1 <= len(grid)-1:\n", " dfs(grid, i+1, j)\n", " if i-1 >= 0:\n", " dfs(grid, i-1, j)\n", " if j+1 <= len(grid[0])-1:\n", " dfs(grid, i, j+1)\n", " if j-1 >= 0:\n", " dfs(grid, i, j-1)\n", "\n", " counter = 0\n", "\n", " for i in range(len(grid)):\n", " for j in range(len(grid[0])):\n", " if grid[i][j] == '1':\n", " counter += 1\n", " dfs(grid, i, j)\n", " \n", " return counter\n", "\n", "\n", "grid = [\n", " [\"1\",\"1\",\"1\",\"1\",\"0\"],\n", " [\"1\",\"1\",\"0\",\"1\",\"0\"],\n", " [\"1\",\"1\",\"0\",\"0\",\"0\"],\n", " [\"0\",\"0\",\"0\",\"0\",\"0\"]\n", "]\n", "\n", "numIslands(grid)" ] }, { "attachments": { "02e0c2ef-3a1c-4c39-a5d8-a5428225a676.png": { "image/png": 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" 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## [221. Maximal Square](https://leetcode.com/problems/maximal-square/description/)\n", "\n", "Medium\n", "\n", "Given an m x n binary matrix filled with 0's and 1's, find the largest square containing only 1's and return its area.\n", " \n", " Example 1:\n", "\n", "![image.png](attachment:c2616d68-f9df-4d5b-96e9-757ce09dc46c.png)\n", "\n", " Input: matrix = [[\"1\",\"0\",\"1\",\"0\",\"0\"],[\"1\",\"0\",\"1\",\"1\",\"1\"],[\"1\",\"1\",\"1\",\"1\",\"1\"],[\"1\",\"0\",\"0\",\"1\",\"0\"]]\n", " Output: 4\n", " \n", " Example 2:\n", "\n", "![image.png](attachment:02e0c2ef-3a1c-4c39-a5d8-a5428225a676.png)\n", "\n", " Input: matrix = [[\"0\",\"1\"],[\"1\",\"0\"]]\n", " Output: 1\n", " \n", " Example 3:\n", " \n", " Input: matrix = [[\"0\"]]\n", " Output: 0\n", " \n", " \n", " Constraints:\n", " \n", " m == matrix.length\n", " n == matrix[i].length\n", " 1 <= m, n <= 300\n", " matrix[i][j] is '0' or '1'." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def maximalSquare(matrix):\n", " m = len(matrix)\n", " n = len(matrix[0])\n", " \n", " max_len = 0\n", " dp = [[0 for j in range(n)] for i in range(m)]\n", "\n", " for i in range(m):\n", " for j in range(n):\n", " if i==0 or j==0:\n", " dp[i][j] = int(matrix[i][j])\n", " max_len = max(dp[i][j], max_len)\n", " else:\n", " if matrix[i][j] == '0':\n", " dp[i][j] = 0\n", " else:\n", " dp[i][j] = 1 + min(dp[i-1][j], dp[i][j-1], dp[i-1][j-1])\n", " max_len = max(dp[i][j], max_len)\n", "\n", " return max_len**2\n", "\n", "\n", "matrix = [\n", " [\"1\",\"0\",\"1\",\"0\",\"0\"],\n", " [\"1\",\"0\",\"1\",\"1\",\"1\"],\n", " [\"1\",\"1\",\"1\",\"1\",\"1\"],\n", " [\"1\",\"0\",\"0\",\"1\",\"0\"]]\n", "\n", "maximalSquare(matrix)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [322. Coin Change](https://leetcode.com/problems/coin-change/description/)\n", "\n", "Medium\n", "\n", "You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money.\n", "\n", "Return the fewest number of coins that you need to make up that amount. If that amount of money cannot be made up by any combination of the coins, return -1.\n", "\n", "You may assume that you have an infinite number of each kind of coin.\n", "\n", "\n", " Example 1:\n", " \n", " Input: coins = [1,2,5], amount = 11\n", " Output: 3\n", " Explanation: 11 = 5 + 5 + 1\n", "\n", " Example 2:\n", " \n", " Input: coins = [2], amount = 3\n", " Output: -1\n", "\n", " Example 3:\n", " \n", " Input: coins = [1], amount = 0\n", " Output: 0\n", " \n", " \n", " Constraints:\n", " \n", " 1 <= coins.length <= 12\n", " 1 <= coins[i] <= 231 - 1\n", " 0 <= amount <= 104" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# my logic but polished by AI\n", "\n", "from functools import cache\n", "\n", "def coinChange(coins, amount):\n", " @cache\n", " def dp(remain):\n", " if remain == 0:\n", " return 0\n", " if remain < 0:\n", " return float('inf')\n", "\n", " return min(dp(remain - coin) + 1 for coin in coins)\n", "\n", " res = dp(amount)\n", " return res if res != float('inf') else -1\n", "\n", "\n", "coins = [1, 2, 5]\n", "amount = 11\n", "\n", "coinChange(coins, amount)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 4 }