mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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191 lines
23 KiB
JSON
191 lines
23 KiB
JSON
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"title": "Minimum Time to Break Locks I",
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"content": "<p>Bob is stuck in a dungeon and must break <code>n</code> locks, each requiring some amount of <strong>energy</strong> to break. The required energy for each lock is stored in an array called <code>strength</code> where <code>strength[i]</code> indicates the energy needed to break the <code>i<sup>th</sup></code> lock.</p>\n\n<p>To break a lock, Bob uses a sword with the following characteristics:</p>\n\n<ul>\n\t<li>The initial energy of the sword is 0.</li>\n\t<li>The initial factor <code><font face=\"monospace\">x</font></code> by which the energy of the sword increases is 1.</li>\n\t<li>Every minute, the energy of the sword increases by the current factor <code>x</code>.</li>\n\t<li>To break the <code>i<sup>th</sup></code> lock, the energy of the sword must reach <strong>at least</strong> <code>strength[i]</code>.</li>\n\t<li>After breaking a lock, the energy of the sword resets to 0, and the factor <code>x</code> increases by a given value <code>k</code>.</li>\n</ul>\n\n<p>Your task is to determine the <strong>minimum</strong> time in minutes required for Bob to break all <code>n</code> locks and escape the dungeon.</p>\n\n<p>Return the <strong>minimum </strong>time required for Bob to break all <code>n</code> locks.</p>\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\">strength = [3,4,1], k = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<table style=\"border: 1px solid black;\">\n\t<tbody>\n\t\t<tr>\n\t\t\t<th style=\"border: 1px solid black;\">Time</th>\n\t\t\t<th style=\"border: 1px solid black;\">Energy</th>\n\t\t\t<th style=\"border: 1px solid black;\">x</th>\n\t\t\t<th style=\"border: 1px solid black;\">Action</th>\n\t\t\t<th style=\"border: 1px solid black;\">Updated x</th>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">0</td>\n\t\t\t<td style=\"border: 1px solid black;\">0</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">Nothing</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">Break 3<sup>rd</sup> Lock</td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\">Nothing</td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\">Break 2<sup>nd</sup> Lock</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\">Break 1<sup>st</sup> Lock</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t</tbody>\n</table>\n\n<p>The locks cannot be broken in less than 4 minutes; thus, the answer is 4.</p>\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\">strength = [2,5,4], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<table style=\"border: 1px solid black;\">\n\t<tbody>\n\t\t<tr>\n\t\t\t<th style=\"border: 1px solid black;\">Time</th>\n\t\t\t<th style=\"border: 1px solid black;\">Energy</th>\n\t\t\t<th style=\"border: 1px solid black;\">x</th>\n\t\t\t<th style=\"border: 1px solid black;\">Action</th>\n\t\t\t<th style=\"border: 1px solid black;\">Updated x</th>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">0</td>\n\t\t\t<td style=\"border: 1px solid black;\">0</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">Nothing</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">Nothing</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\">Break 1<sup>st</sup> Lock</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\">Nothing</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t\t<td style=\"border: 1px solid black;\">6</td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\">Break 2<sup>n</sup><sup>d</sup> Lock</td>\n\t\t\t<td style=\"border: 1px solid black;\">5</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">5</td>\n\t\t\t<td style=\"border: 1px solid black;\">5</td>\n\t\t\t<td style=\"border: 1px solid black;\">5</td>\n\t\t\t<td style=\"border: 1px solid black;\">Break 3<sup>r</sup><sup>d</sup> Lock</td>\n\t\t\t<td style=\"border: 1px solid black;\">7</td>\n\t\t</tr>\n\t</tbody>\n</table>\n\n<p>The locks cannot be broken in less than 5 minutes; thus, the answer is 5.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == strength.length</code></li>\n\t<li><code>1 <= n <= 8</code></li>\n\t<li><code>1 <= K <= 10</code></li>\n\t<li><code>1 <= strength[i] <= 10<sup>6</sup></code></li>\n</ul>\n",
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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=\\\"https://github.com/datastructures-js/queue/tree/v4.2.3\\\" target=\\\"_blank\\\">datastructures-js/queue</a> and 1.0.4 version of <a href=\\\"https://github.com/datastructures-js/deque/tree/v1.0.4\\\" target=\\\"_blank\\\">datastructures-js/deque</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 5.10</code>.</p>\\r\\n\\r\\n<p>You may use <a href=\\\"https://github.com/apple/swift-algorithms/tree/1.2.0\\\" target=\\\"_blank\\\">swift-algorithms 1.2.0</a> and <a href=\\\"https://github.com/apple/swift-collections/tree/1.1.4\\\" target=\\\"_blank\\\">swift-collections 1.1.4</a>.</p>\"], \"golang\": [\"Go\", \"<p><code>Go 1.23</code></p>\\r\\n<p>Support <a href=\\\"https://pkg.go.dev/github.com/emirpasic/gods@v1.18.1\\\" target=\\\"_blank\\\">https://pkg.go.dev/github.com/emirpasic/gods@v1.18.1</a> and <a href=\\\"https://pkg.go.dev/github.com/emirpasic/gods/v2@v2.0.0-alpha\\\" target=\\\"_blank\\\">https://pkg.go.dev/github.com/emirpasic/gods/v2@v2.0.0-alpha</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 3.3.1</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 1.79.0</code>. Your code will be compiled with <code>opt-level</code> 2.</p>\\r\\n\\r\\n<p>Supports <a href=\\\"https://crates.io/crates/rand\\\" target=\\\"_blank\\\">rand v0.8</a> and <a href=\\\"https://crates.io/crates/regex\\\" target=\\\"_blank\\\">regex\\u00a0v1</a> from 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 20.10.0</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>\\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=\\\"https://github.com/datastructures-js/queue/tree/v4.2.3\\\" target=\\\"_blank\\\">datastructures-js/queue</a> and 1.0.4 version of <a href=\\\"https://github.com/datastructures-js/deque/tree/v1.0.4\\\" target=\\\"_blank\\\">datastructures-js/deque</a>.</p>\"], \"racket\": [\"Racket\", \"<p><a href=\\\"https://docs.racket-lang.org/guide/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS</a> v8.15</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 1.17 with Erlang/OTP 26\"], \"dart\": [\"Dart\", \"<p>Dart 3.2. You may use package <a href=\\\"https://pub.dev/packages/collection/versions/1.18.0\\\" target=\\\"_blank\\\">collection</a></p>\\r\\n\\r\\n<p>Your code will be run directly without compiling</p>\"]}",
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