{ "data": { "question": { "questionId": "1000569", "questionFrontendId": "LCP 81", "categoryTitle": "Algorithms", "boundTopicId": 2258738, "title": "与非的谜题", "titleSlug": "ryfUiz", "content": "English description is not available for the problem. Please switch to Chinese.", "translatedTitle": "与非的谜题", "translatedContent": "在永恒之森中，封存着有关万灵之树线索的卷轴，只要探险队通过最后的考验，便可以获取前往万灵之树的线索。\n\n探险队需要从一段不断变化的谜题数组中找到最终的密码，初始的谜题为长度为 `n` 的数组 `arr`（下标从 0 开始），数组中的数字代表了 `k` 位二进制数。\n破解谜题的过程中，需要使用 `与非（NAND）` 运算方式，`operations[i] = [type,x,y]` 表示第 `i` 次进行的谜题操作信息：\n- 若 `type = 0`，表示修改操作，将谜题数组中下标 `x` 的数字变化为 `y`；\n- 若 `type = 1`，表示运算操作，将数字 `y` 进行 `x*n` 次「与非」操作，第 `i` 次与非操作为 `y = y NAND arr[i%n]`；\n > 运算操作结果即：`y NAND arr[0%n] NAND arr[1%n] NAND arr[2%n] ... NAND arr[(x*n-1)%n]`\n\n最后，将所有运算操作的结果按顺序逐一进行 `异或（XOR）`运算，从而得到最终解开封印的密码。请返回最终解开封印的密码。\n\n**注意:**\n- 「与非」（NAND）的操作为：先进行 `与` 操作，后进行 `非` 操作。\n > 例如：两个三位二进制数`2`和`3`，其与非结果为 `NOT ((010) AND (011)) = (101) = 5`\n\n**示例 1：**\n> 输入: \n> `k = 3`\n> `arr = [1,2]`\n> `operations = [[1,2,3],[0,0,3],[1,2,2]]`\n>\n> 输出: `2`\n>\n> 解释：\n> 初始的谜题数组为 [1,2]，二进制位数为 3，\n> 第 0 次进行运算操作，将数字 3(011) 进行 2\\*2 次「与非」运算，\n> 运算操作结果为 `3 NAND 1 NAND 2 NAND 1 NAND 2 = 5`\n> 第 1 次进行修改操作，谜题数组的第 `0` 个数字变化为 `3`，谜题变成 `[3,2]`\n> 第 2 次进行运算操作，将数字 2(010) 进行 2\\*2 次「与非」运算，\n> 运算操作结果为 `2 NAND 3 NAND 2 NAND 3 NAND 2 = 7`\n> 所有运算操作结果进行「异或」运算为 `5 XOR 7 = 2`\n> 因此得到的最终密码为 `2`。\n\n**示例 2：**\n> 输入:\n> `k = 4`\n> `arr = [4,6,4,7,10,9,11]`\n> `operations = [[1,5,7],[1,7,14],[0,6,7],[1,6,5]]`\n> 输出: `9`\n> 解释: \n> 初始的谜题数组为 [4,6,4,7,10,9,11],\n> 第 0 次进行运算操作，运算操作结果为 5；\n> 第 1 次进行运算操作，运算操作结果为 5；\n> 第 2 次进行修改操作，修改后谜题数组为 [4, 6, 4, 7, 10, 9, 7]；\n> 第 3 次进行运算操作，运算操作结果为 9；\n> 所有运算操作结果进行「异或」运算为 `5 XOR 5 XOR 9 = 9`；\n> 因此得到的最终密码为 `9`。\n\n**提示:**\n- `1 <= arr.length, operations.length <= 10^4`\n- `1 <= k <= 30`\n- `0 <= arr[i] < 2^k`\n- 若 `type = 0`，`0 <= x < arr.length` 且 `0 <= y < 2^k`\n- 若 `type = 1`，`1 <= x < 10^9` 且 `0 <= y < 2^k`\n- 保证存在 `type = 1` 的操作\n", "isPaidOnly": false, "difficulty": "Hard", "likes": 4, "dislikes": 0, "isLiked": null, "similarQuestions": "[]", "contributors": [], "langToValidPlayground": "{\"cpp\": false, \"java\": true, \"python\": true, \"python3\": false, \"mysql\": false, \"mssql\": false, \"oraclesql\": false, \"c\": false, \"csharp\": false, \"javascript\": false, \"typescript\": false, \"bash\": false, \"php\": false, \"swift\": false, \"kotlin\": false, \"dart\": false, \"golang\": false, \"ruby\": false, \"scala\": false, \"html\": false, \"pythonml\": false, \"rust\": false, \"racket\": false, \"erlang\": false, \"elixir\": false, \"pythondata\": false, \"react\": false, \"vanillajs\": false, \"postgresql\": false}", "topicTags": [], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n int getNandResult(int k, vector& arr, vector>& operations) {\n\n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int getNandResult(int k, int[] arr, int[][] operations) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def getNandResult(self, k, arr, operations):\n \"\"\"\n :type k: int\n :type arr: List[int]\n :type operations: List[List[int]]\n :rtype: int\n \"\"\"", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def getNandResult(self, k: int, arr: List[int], operations: List[List[int]]) -> int:", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int getNandResult(int k, int* arr, int arrSize, int** operations, int operationsSize, int* operationsColSize){\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int GetNandResult(int k, int[] arr, int[][] operations) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number} k\n * @param {number[]} arr\n * @param {number[][]} operations\n * @return {number}\n */\nvar getNandResult = function(k, arr, operations) {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function getNandResult(k: number, arr: number[], operations: number[][]): number {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer $k\n * @param Integer[] $arr\n * @param Integer[][] $operations\n * @return Integer\n */\n function getNandResult($k, $arr, $operations) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func getNandResult(_ k: Int, _ arr: [Int], _ operations: [[Int]]) -> Int {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun getNandResult(k: Int, arr: IntArray, operations: Array): Int {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n int getNandResult(int k, List arr, List> operations) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func getNandResult(k int, arr []int, operations [][]int) int {\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer} k\n# @param {Integer[]} arr\n# @param {Integer[][]} operations\n# @return {Integer}\ndef get_nand_result(k, arr, operations)\n\nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def getNandResult(k: Int, arr: Array[Int], operations: Array[Array[Int]]): Int = {\n\n }\n}", 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