mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
181 lines
19 KiB
JSON
181 lines
19 KiB
JSON
|
{
|
||
|
|
"data": {
|
||
|
|
"question": {
|
||
|
|
"questionId": "3604",
|
||
|
|
"questionFrontendId": "3317",
|
||
|
|
"boundTopicId": null,
|
||
|
|
"title": "Find the Number of Possible Ways for an Event",
|
||
|
|
"titleSlug": "find-the-number-of-possible-ways-for-an-event",
|
||
|
|
"content": "<p>You are given three integers <code>n</code>, <code>x</code>, and <code>y</code>.</p>\n\n<p>An event is being held for <code>n</code> performers. When a performer arrives, they are <strong>assigned</strong> to one of the <code>x</code> stages. All performers assigned to the <strong>same</strong> stage will perform together as a band, though some stages <em>might</em> remain <strong>empty</strong>.</p>\n\n<p>After all performances are completed, the jury will <strong>award</strong> each band a score in the range <code>[1, y]</code>.</p>\n\n<p>Return the <strong>total</strong> number of possible ways the event can take place.</p>\n\n<p>Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p><strong>Note</strong> that two events are considered to have been held <strong>differently</strong> if <strong>either</strong> of the following conditions is satisfied:</p>\n\n<ul>\n\t<li><strong>Any</strong> performer is <em>assigned</em> a different stage.</li>\n\t<li><strong>Any</strong> band is <em>awarded</em> a different score.</li>\n</ul>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 1, x = 2, y = 3</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">6</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>There are 2 ways to assign a stage to the performer.</li>\n\t<li>The jury can award a score of either 1, 2, or 3 to the only band.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 5, x = 2, y = 1</span></p>\n\n<p><strong>Output:</strong> 32</p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Each performer will be assigned either stage 1 or stage 2.</li>\n\t<li>All bands will be awarded a score of 1.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 3, x = 3, y = 4</span></p>\n\n<p><strong>Output:</strong> 684</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n, x, y <= 1000</code></li>\n</ul>\n",
|
||
|
|
"translatedTitle": null,
|
||
|
|
"translatedContent": null,
|
||
|
|
"isPaidOnly": false,
|
||
|
|
"difficulty": "Hard",
|
||
|
|
"likes": 60,
|
||
|
|
"dislikes": 11,
|
||
|
|
"isLiked": null,
|
||
|
|
"similarQuestions": "[{\"title\": \"Kth Smallest Amount With Single Denomination Combination\", \"titleSlug\": \"kth-smallest-amount-with-single-denomination-combination\", \"difficulty\": \"Hard\", \"translatedTitle\": null}]",
|
||
|
|
"exampleTestcases": "1\n2\n3\n5\n2\n1\n3\n3\n4",
|
||
|
|
"categoryTitle": "Algorithms",
|
||
|
|
"contributors": [],
|
||
|
|
"topicTags": [
|
||
|
|
{
|
||
|
|
"name": "Math",
|
||
|
|
"slug": "math",
|
||
|
|
"translatedName": null,
|
||
|
|
"__typename": "TopicTagNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"name": "Dynamic Programming",
|
||
|
|
"slug": "dynamic-programming",
|
||
|
|
"translatedName": null,
|
||
|
|
"__typename": "TopicTagNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"name": "Combinatorics",
|
||
|
|
"slug": "combinatorics",
|
||
|
|
"translatedName": null,
|
||
|
|
"__typename": "TopicTagNode"
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"companyTagStats": null,
|
||
|
|
"codeSnippets": [
|
||
|
|
{
|
||
|
|
"lang": "C++",
|
||
|
|
"langSlug": "cpp",
|
||
|
|
"code": "class Solution {\npublic:\n int numberOfWays(int n, int x, int y) {\n \n }\n};",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Java",
|
||
|
|
"langSlug": "java",
|
||
|
|
"code": "class Solution {\n public int numberOfWays(int n, int x, int y) {\n \n }\n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Python",
|
||
|
|
"langSlug": "python",
|
||
|
|
"code": "class Solution(object):\n def numberOfWays(self, n, x, y):\n \"\"\"\n :type n: int\n :type x: int\n :type y: int\n :rtype: int\n \"\"\"\n ",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Python3",
|
||
|
|
"langSlug": "python3",
|
||
|
|
"code": "class Solution:\n def numberOfWays(self, n: int, x: int, y: int) -> int:\n ",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "C",
|
||
|
|
"langSlug": "c",
|
||
|
|
"code": "int numberOfWays(int n, int x, int y) {\n \n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "C#",
|
||
|
|
"langSlug": "csharp",
|
||
|
|
"code": "public class Solution {\n public int NumberOfWays(int n, int x, int y) {\n \n }\n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "JavaScript",
|
||
|
|
"langSlug": "javascript",
|
||
|
|
"code": "/**\n * @param {number} n\n * @param {number} x\n * @param {number} y\n * @return {number}\n */\nvar numberOfWays = function(n, x, y) {\n \n};",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "TypeScript",
|
||
|
|
"langSlug": "typescript",
|
||
|
|
"code": "function numberOfWays(n: number, x: number, y: number): number {\n \n};",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "PHP",
|
||
|
|
"langSlug": "php",
|
||
|
|
"code": "class Solution {\n\n /**\n * @param Integer $n\n * @param Integer $x\n * @param Integer $y\n * @return Integer\n */\n function numberOfWays($n, $x, $y) {\n \n }\n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Swift",
|
||
|
|
"langSlug": "swift",
|
||
|
|
"code": "class Solution {\n func numberOfWays(_ n: Int, _ x: Int, _ y: Int) -> Int {\n \n }\n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Kotlin",
|
||
|
|
"langSlug": "kotlin",
|
||
|
|
"code": "class Solution {\n fun numberOfWays(n: Int, x: Int, y: Int): Int {\n \n }\n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Dart",
|
||
|
|
"langSlug": "dart",
|
||
|
|
"code": "class Solution {\n int numberOfWays(int n, int x, int y) {\n \n }\n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Go",
|
||
|
|
"langSlug": "golang",
|
||
|
|
"code": "func numberOfWays(n int, x int, y int) int {\n \n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Ruby",
|
||
|
|
"langSlug": "ruby",
|
||
|
|
"code": "# @param {Integer} n\n# @param {Integer} x\n# @param {Integer} y\n# @return {Integer}\ndef number_of_ways(n, x, y)\n \nend",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Scala",
|
||
|
|
"langSlug": "scala",
|
||
|
|
"code": "object Solution {\n def numberOfWays(n: Int, x: Int, y: Int): Int = {\n \n }\n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Rust",
|
||
|
|
"langSlug": "rust",
|
||
|
|
"code": "impl Solution {\n pub fn number_of_ways(n: i32, x: i32, y: i32) -> i32 {\n \n }\n}",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Racket",
|
||
|
|
"langSlug": "racket",
|
||
|
|
"code": "(define/contract (number-of-ways n x y)\n (-> exact-integer? exact-integer? exact-integer? exact-integer?)\n )",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Erlang",
|
||
|
|
"langSlug": "erlang",
|
||
|
|
"code": "-spec number_of_ways(N :: integer(), X :: integer(), Y :: integer()) -> integer().\nnumber_of_ways(N, X, Y) ->\n .",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"lang": "Elixir",
|
||
|
|
"langSlug": "elixir",
|
||
|
|
"code": "defmodule Solution do\n @spec number_of_ways(n :: integer, x :: integer, y :: integer) :: integer\n def number_of_ways(n, x, y) do\n \n end\nend",
|
||
|
|
"__typename": "CodeSnippetNode"
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"stats": "{\"totalAccepted\": \"3.7K\", \"totalSubmission\": \"9.7K\", \"totalAcceptedRaw\": 3708, \"totalSubmissionRaw\": 9747, \"acRate\": \"38.0%\"}",
|
||
|
|
"hints": [
|
||
|
|
"Fix the number of stages.",
|
||
|
|
"Assign the Performers to the stages.",
|
||
|
|
"Use inclusion-exclusion to ensure that no stage has 0 performers."
|
||
|
|
],
|
||
|
|
"solution": null,
|
||
|
|
"status": null,
|
||
|
|
"sampleTestCase": "1\n2\n3",
|
||
|
|
"metaData": "{\n \"name\": \"numberOfWays\",\n \"params\": [\n {\n \"name\": \"n\",\n \"type\": \"integer\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"x\"\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 17 </code> using the latest C++ 23 standard, and <code>libstdc++</code> provided by GCC 13.</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 13</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 20.10.0</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 5.4.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/blob/v5/README.md\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.3 version of <a href=\\\
|
||
|
|
"libraryUrl": null,
|
||
|
|
"adminUrl": null,
|
||
|
|
"challengeQuestion": null,
|
||
|
|
"__typename": "QuestionNode"
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|