mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
183 lines
18 KiB
JSON
183 lines
18 KiB
JSON
{
|
|
"data": {
|
|
"question": {
|
|
"questionId": "3239",
|
|
"questionFrontendId": "2998",
|
|
"boundTopicId": null,
|
|
"title": "Minimum Number of Operations to Make X and Y Equal",
|
|
"titleSlug": "minimum-number-of-operations-to-make-x-and-y-equal",
|
|
"content": "<p>You are given two positive integers <code>x</code> and <code>y</code>.</p>\n\n<p>In one operation, you can do one of the four following operations:</p>\n\n<ol>\n\t<li>Divide <code>x</code> by <code>11</code> if <code>x</code> is a multiple of <code>11</code>.</li>\n\t<li>Divide <code>x</code> by <code>5</code> if <code>x</code> is a multiple of <code>5</code>.</li>\n\t<li>Decrement <code>x</code> by <code>1</code>.</li>\n\t<li>Increment <code>x</code> by <code>1</code>.</li>\n</ol>\n\n<p>Return <em>the <strong>minimum</strong> number of operations required to make </em> <code>x</code> <i>and</i> <code>y</code> equal.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> x = 26, y = 1\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can make 26 equal to 1 by applying the following operations: \n1. Decrement x by 1\n2. Divide x by 5\n3. Divide x by 5\nIt can be shown that 3 is the minimum number of operations required to make 26 equal to 1.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> x = 54, y = 2\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> We can make 54 equal to 2 by applying the following operations: \n1. Increment x by 1\n2. Divide x by 11 \n3. Divide x by 5\n4. Increment x by 1\nIt can be shown that 4 is the minimum number of operations required to make 54 equal to 2.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> x = 25, y = 30\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> We can make 25 equal to 30 by applying the following operations: \n1. Increment x by 1\n2. Increment x by 1\n3. Increment x by 1\n4. Increment x by 1\n5. Increment x by 1\nIt can be shown that 5 is the minimum number of operations required to make 25 equal to 30.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= x, y <= 10<sup>4</sup></code></li>\n</ul>\n",
|
|
"translatedTitle": null,
|
|
"translatedContent": null,
|
|
"isPaidOnly": false,
|
|
"difficulty": "Medium",
|
|
"likes": 121,
|
|
"dislikes": 19,
|
|
"isLiked": null,
|
|
"similarQuestions": "[{\"title\": \"Shortest Bridge\", \"titleSlug\": \"shortest-bridge\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Minimum Moves to Spread Stones Over Grid\", \"titleSlug\": \"minimum-moves-to-spread-stones-over-grid\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]",
|
|
"exampleTestcases": "26\n1\n54\n2\n25\n30",
|
|
"categoryTitle": "Algorithms",
|
|
"contributors": [],
|
|
"topicTags": [
|
|
{
|
|
"name": "Dynamic Programming",
|
|
"slug": "dynamic-programming",
|
|
"translatedName": null,
|
|
"__typename": "TopicTagNode"
|
|
},
|
|
{
|
|
"name": "Breadth-First Search",
|
|
"slug": "breadth-first-search",
|
|
"translatedName": null,
|
|
"__typename": "TopicTagNode"
|
|
},
|
|
{
|
|
"name": "Memoization",
|
|
"slug": "memoization",
|
|
"translatedName": null,
|
|
"__typename": "TopicTagNode"
|
|
}
|
|
],
|
|
"companyTagStats": null,
|
|
"codeSnippets": [
|
|
{
|
|
"lang": "C++",
|
|
"langSlug": "cpp",
|
|
"code": "class Solution {\npublic:\n int minimumOperationsToMakeEqual(int x, int y) {\n \n }\n};",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Java",
|
|
"langSlug": "java",
|
|
"code": "class Solution {\n public int minimumOperationsToMakeEqual(int x, int y) {\n \n }\n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Python",
|
|
"langSlug": "python",
|
|
"code": "class Solution(object):\n def minimumOperationsToMakeEqual(self, x, y):\n \"\"\"\n :type x: int\n :type y: int\n :rtype: int\n \"\"\"\n ",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Python3",
|
|
"langSlug": "python3",
|
|
"code": "class Solution:\n def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n ",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "C",
|
|
"langSlug": "c",
|
|
"code": "int minimumOperationsToMakeEqual(int x, int y) {\n \n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "C#",
|
|
"langSlug": "csharp",
|
|
"code": "public class Solution {\n public int MinimumOperationsToMakeEqual(int x, int y) {\n \n }\n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "JavaScript",
|
|
"langSlug": "javascript",
|
|
"code": "/**\n * @param {number} x\n * @param {number} y\n * @return {number}\n */\nvar minimumOperationsToMakeEqual = function(x, y) {\n \n};",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "TypeScript",
|
|
"langSlug": "typescript",
|
|
"code": "function minimumOperationsToMakeEqual(x: number, y: number): number {\n \n};",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "PHP",
|
|
"langSlug": "php",
|
|
"code": "class Solution {\n\n /**\n * @param Integer $x\n * @param Integer $y\n * @return Integer\n */\n function minimumOperationsToMakeEqual($x, $y) {\n \n }\n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Swift",
|
|
"langSlug": "swift",
|
|
"code": "class Solution {\n func minimumOperationsToMakeEqual(_ x: Int, _ y: Int) -> Int {\n \n }\n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Kotlin",
|
|
"langSlug": "kotlin",
|
|
"code": "class Solution {\n fun minimumOperationsToMakeEqual(x: Int, y: Int): Int {\n \n }\n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Dart",
|
|
"langSlug": "dart",
|
|
"code": "class Solution {\n int minimumOperationsToMakeEqual(int x, int y) {\n \n }\n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Go",
|
|
"langSlug": "golang",
|
|
"code": "func minimumOperationsToMakeEqual(x int, y int) int {\n \n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Ruby",
|
|
"langSlug": "ruby",
|
|
"code": "# @param {Integer} x\n# @param {Integer} y\n# @return {Integer}\ndef minimum_operations_to_make_equal(x, y)\n \nend",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Scala",
|
|
"langSlug": "scala",
|
|
"code": "object Solution {\n def minimumOperationsToMakeEqual(x: Int, y: Int): Int = {\n \n }\n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Rust",
|
|
"langSlug": "rust",
|
|
"code": "impl Solution {\n pub fn minimum_operations_to_make_equal(x: i32, y: i32) -> i32 {\n \n }\n}",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Racket",
|
|
"langSlug": "racket",
|
|
"code": "(define/contract (minimum-operations-to-make-equal x y)\n (-> exact-integer? exact-integer? exact-integer?)\n )",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Erlang",
|
|
"langSlug": "erlang",
|
|
"code": "-spec minimum_operations_to_make_equal(X :: integer(), Y :: integer()) -> integer().\nminimum_operations_to_make_equal(X, Y) ->\n .",
|
|
"__typename": "CodeSnippetNode"
|
|
},
|
|
{
|
|
"lang": "Elixir",
|
|
"langSlug": "elixir",
|
|
"code": "defmodule Solution do\n @spec minimum_operations_to_make_equal(x :: integer, y :: integer) :: integer\n def minimum_operations_to_make_equal(x, y) do\n \n end\nend",
|
|
"__typename": "CodeSnippetNode"
|
|
}
|
|
],
|
|
"stats": "{\"totalAccepted\": \"9.5K\", \"totalSubmission\": \"23.5K\", \"totalAcceptedRaw\": 9472, \"totalSubmissionRaw\": 23457, \"acRate\": \"40.4%\"}",
|
|
"hints": [
|
|
"The only way to make <code>x</code> larger is to increase it by <code>1</code> so if <code>y >= x</code> the answer is <code>y - x</code>.",
|
|
"For <code>y < x</code>, <code>x - y</code> is always a candidate answer since we can repeatedly decrease <code>x</code> by one to reach <code>y</code>.",
|
|
"We can also increase <code>x</code> and then use the division operations. For example, if <code>x = 10</code> and <code>y = 1</code>, we can increment <code>x</code> by <code>1</code> then divide it by <code>11</code>.",
|
|
"Find an upper bound <code>U</code> on the maximum value of <code>x</code> we will reach an optimal solution. Since all values of <code>x</code> will be in the range <code>[1, U]</code>, we can use BFS to find the answer.",
|
|
"One possible upper bound on <code>x</code> is <code>U = x + (x - y) </code>. To reach any number strictly greater than <code>U</code> from <code>x</code>, we will need more than <code>x - y</code> operations which is not optimal since we can always reach <code>y</code> in <code>x - y</code> operations."
|
|
],
|
|
"solution": null,
|
|
"status": null,
|
|
"sampleTestCase": "26\n1",
|
|
"metaData": "{\n \"name\": \"minimumOperationsToMakeEqual\",\n \"params\": [\n {\n \"name\": \"x\",\n \"type\": \"integer\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"y\"\n }\n ],\n \"return\": {\n \"type\": \"integer\"\n }\n}",
|
|
"judgerAvailable": true,
|
|
"judgeType": "large",
|
|
"mysqlSchemas": [],
|
|
"enableRunCode": true,
|
|
"enableTestMode": false,
|
|
"enableDebugger": true,
|
|
"envInfo": "{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 20 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level two optimization (<code>-O2</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\"], \"java\": [\"Java\", \"<p><code>OpenJDK 21</code>. Using compile arguments: <code>--enable-preview --release 21</code></p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n<p>Includes <code>Pair</code> class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.</p>\"], \"python\": [\"Python\", \"<p><code>Python 2.7.12</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/2/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/2/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/2/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\\r\\n\\r\\n<p>Note that Python 2.7 <a href=\\\"https://www.python.org/dev/peps/pep-0373/\\\" target=\\\"_blank\\\">will not be maintained past 2020</a>. For the latest Python, please choose Python3 instead.</p>\"], \"c\": [\"C\", \"<p>Compiled with <code>gcc 11</code> using the gnu11 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one optimization (<code>-O2</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n\\r\\n<p>For hash table operations, you may use <a href=\\\"https://troydhanson.github.io/uthash/\\\" target=\\\"_blank\\\">uthash</a>. \\\"uthash.h\\\" is included by default. Below are some examples:</p>\\r\\n\\r\\n<p><b>1. Adding an item to a hash.</b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n int id; /* we'll use this field as the key */\\r\\n char name[10];\\r\\n UT_hash_handle hh; /* makes this structure hashable */\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry *s) {\\r\\n HASH_ADD_INT(users, id, s);\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>2. Looking up an item in a hash:</b>\\r\\n<pre>\\r\\nstruct hash_entry *find_user(int user_id) {\\r\\n struct hash_entry *s;\\r\\n HASH_FIND_INT(users, &user_id, s);\\r\\n return s;\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>3. Deleting an item in a hash:</b>\\r\\n<pre>\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n HASH_DEL(users, user); \\r\\n}\\r\\n</pre>\\r\\n</p>\"], \"csharp\": [\"C#\", \"<p><a href=\\\"https://learn.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-12\\\" target=\\\"_blank\\\">C# 12</a> with .NET 8 runtime</p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES6 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\\r\\n\\r\\n<p>For Priority Queue / Queue data structures, you may use 5.3.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/tree/fb4fdb984834421279aeb081df7af624d17c2a03\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.1 version of <a href=\\\"https://github.com/datastructures-js/queue/tree/e63563025a5a805aa16928cb53bcd517bfea9230\\\" target=\\\"_blank\\\">datastructures-js/queue</a>.</p>\"], \"ruby\": [\"Ruby\", \"<p><code>Ruby 3.2</code></p>\\r\\n\\r\\n<p>Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms</p>\"], \"swift\": [\"Swift\", \"<p><code>Swift 5.9</code>.</p>\"], \"golang\": [\"Go\", \"<p><code>Go 1.21</code></p>\\r\\n<p>Support <a href=\\\"https://github.com/emirpasic/gods/tree/v1.18.1\\\" target=\\\"_blank\\\">https://godoc.org/github.com/emirpasic/gods@v1.18.1</a> library.</p>\"], \"python3\": [\"Python3\", \"<p><code>Python 3.11</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/3/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/3/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/3/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\"], \"scala\": [\"Scala\", \"<p><code>Scala 2.13.7</code>.</p>\"], \"kotlin\": [\"Kotlin\", \"<p><code>Kotlin 1.9.0</code>.</p>\\r\\n\\r\\n<p>We are using an experimental compiler provided by JetBrains.</p>\"], \"rust\": [\"Rust\", \"<p><code>Rust 1.74.1</code></p>\\r\\n\\r\\n<p>Supports <a href=\\\"https://crates.io/crates/rand\\\" target=\\\"_blank\\\">rand </a> v0.6\\u00a0from crates.io</p>\"], \"php\": [\"PHP\", \"<p><code>PHP 8.2</code>.</p>\\r\\n<p>With bcmath module</p>\"], \"typescript\": [\"Typescript\", \"<p><code>TypeScript 5.1.6, Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Compile Options: <code>--alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2022</code></p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES2022 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\"], \"racket\": [\"Racket\", \"<p><a href=\\\"https://docs.racket-lang.org/guide/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS</a> v8.11</p>\\r\\n\\r\\n<p>Using <code>#lang racket</code></p>\\r\\n\\r\\n<p>Required <code>data/gvector data/queue data/order data/heap</code> automatically for your convenience</p>\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 26\"], \"elixir\": [\"Elixir\", \"Elixir 1.15 with Erlang/OTP 26\"], \"dart\": [\"Dart\", \"<p>Dart 3.2</p>\\r\\n\\r\\n<p>Your code will be run directly without compiling</p>\"]}",
|
|
"libraryUrl": null,
|
|
"adminUrl": null,
|
|
"challengeQuestion": null,
|
|
"__typename": "QuestionNode"
|
|
}
|
|
}
|
|
} |