leetcode-problemset/leetcode-cn/originData/unit-conversion-i.json

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            "questionId": "3729",
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            "title": "Unit Conversion I",
            "titleSlug": "unit-conversion-i",
            "content": "<p>There are <code>n</code> types of units indexed from <code>0</code> to <code>n - 1</code>. You are given a 2D integer array <code>conversions</code> of length <code>n - 1</code>, where <code>conversions[i] = [sourceUnit<sub>i</sub>, targetUnit<sub>i</sub>, conversionFactor<sub>i</sub>]</code>. This indicates that a single unit of type <code>sourceUnit<sub>i</sub></code> is equivalent to <code>conversionFactor<sub>i</sub></code> units of type <code>targetUnit<sub>i</sub></code>.</p>\n\n<p>Return an array <code>baseUnitConversion</code> of length <code>n</code>, where <code>baseUnitConversion[i]</code> is the number of units of type <code>i</code> equivalent to a single unit of type 0. Since the answer may be large, return each <code>baseUnitConversion[i]</code> <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</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\">conversions = [[0,1,2],[1,2,3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[1,2,6]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Convert a single unit of type 0 into 2 units of type 1 using <code>conversions[0]</code>.</li>\n\t<li>Convert a single unit of type 0 into 6 units of type 2 using <code>conversions[0]</code>, then <code>conversions[1]</code>.</li>\n</ul>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2025/03/12/example1.png\" style=\"width: 545px; height: 118px;\" /></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\">conversions = [[0,1,2],[0,2,3],[1,3,4],[1,4,5],[2,5,2],[4,6,3],[5,7,4]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[1,2,3,8,10,6,30,24]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Convert a single unit of type 0 into 2 units of type 1 using <code>conversions[0]</code>.</li>\n\t<li>Convert a single unit of type 0 into 3 units of type 2 using <code>conversions[1]</code>.</li>\n\t<li>Convert a single unit of type 0 into 8 units of type 3 using <code>conversions[0]</code>, then <code>conversions[2]</code>.</li>\n\t<li>Convert a single unit of type 0 into 10 units of type 4 using <code>conversions[0]</code>, then <code>conversions[3]</code>.</li>\n\t<li>Convert a single unit of type 0 into 6 units of type 5 using <code>conversions[1]</code>, then <code>conversions[4]</code>.</li>\n\t<li>Convert a single unit of type 0 into 30 units of type 6 using <code>conversions[0]</code>, <code>conversions[3]</code>, then <code>conversions[5]</code>.</li>\n\t<li>Convert a single unit of type 0 into 24 units of type 7 using <code>conversions[1]</code>, <code>conversions[4]</code>, then <code>conversions[6]</code>.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>conversions.length == n - 1</code></li>\n\t<li><code>0 &lt;= sourceUnit<sub>i</sub>, targetUnit<sub>i</sub> &lt; n</code></li>\n\t<li><code>1 &lt;= conversionFactor<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n\t<li>It is guaranteed that unit 0 can be converted into any other unit through a <strong>unique</strong> combination of conversions without using any conversions in the opposite direction.</li>\n</ul>\n",
            "translatedTitle": "单位转换 I",
            "translatedContent": "<p>有 <code>n</code> 种单位，编号从 <code>0</code> 到 <code>n - 1</code>。给你一个二维整数数组 <code>conversions</code>，长度为 <code>n - 1</code>，其中 <code>conversions[i] = [sourceUnit<sub>i</sub>, targetUnit<sub>i</sub>, conversionFactor<sub>i</sub>]</code>&nbsp;，表示一个&nbsp;<code>sourceUnit<sub>i</sub></code> 类型的单位等于 <code>conversionFactor<sub>i</sub></code> 个 <code>targetUnit<sub>i</sub></code> 类型的单位。</p>\n\n<p>请你返回一个长度为 <code>n</code> 的数组 <code>baseUnitConversion</code>，其中 <code>baseUnitConversion[i]</code> 表示 <strong>一个</strong> 0 类型单位等于多少个 i 类型单位。由于结果可能很大，请返回每个 <code>baseUnitConversion[i]</code> 对 <code>10<sup>9</sup> + 7</code> 取模后的值。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">conversions = [[0,1,2],[1,2,3]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">[1,2,6]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<ul>\n\t<li>使用 <code>conversions[0]</code>：将一个 0 类型单位转换为 2 个 1 类型单位。</li>\n\t<li>使用&nbsp;<code>conversions[0]</code>&nbsp;和&nbsp;<code>conversions[1]</code>&nbsp;将一个 0 类型单位转换为 6 个 2 类型单位。</li>\n</ul>\n<img alt=\"\" src=\"https://pic.leetcode.cn/1745660099-FZhVTM-example1.png\" style=\"width: 545px; height: 119px;\" /></div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">conversions = [[0,1,2],[0,2,3],[1,3,4],[1,4,5],[2,5,2],[4,6,3],[5,7,4]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">[1,2,3,8,10,6,30,24]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<ul>\n\t<li>使用 <code>conversions[0]</code>&nbsp;将一个 0 类型单位转换为 2 个 1 类型单位。</li>\n\t<li>使用 <code>conversions[1]</code>&nbsp;将一个 0 类型单位转换为 3 个 2 类型单位。</li>\n\t<li>使用 <code>conversions[0]</code> 和 <code>conversions[2]</code>&nbsp;将一个 0 类型单位转换为 8 个 3 类型单位。</li>\n\t<li>使用 <code>conversions[0]</code> 和 <code>conversions[3]</code>&nbsp;将一个 0 类型单位转换为 10 个 4 类型单位。</li>\n\t<li>使用 <code>conversions[1]</code> 和 <code>conversions[4]</code>&nbsp;将一个 0 类型单位转换为 6 个 5 类型单位。</li>\n\t<li>使用 <code>conversions[0]</code>、<code>conversions[3]</code> 和 <code>conversions[5]</code>&nbsp;将一个 0 类型单位转换为 30 个 6 类型单位。</li>\n\t<li>使用 <code>conversions[1]</code>、<code>conversions[4]</code> 和 <code>conversions[6]</code>&nbsp;将一个 0 类型单位转换为 24 个 7 类型单位。</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>conversions.length == n - 1</code></li>\n\t<li><code>0 &lt;= sourceUnit<sub>i</sub>, targetUnit<sub>i</sub> &lt; n</code></li>\n\t<li><code>1 &lt;= conversionFactor<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n\t<li>保证单位&nbsp;0 可以通过&nbsp;<strong>唯一&nbsp;</strong>的转换路径（不需要反向转换）转换为任何其他单位。</li>\n</ul>\n",
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target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 3.3.1<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 2.1.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.85.0<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a>\\u3001<a href=\\\"https:\\/\\/crates.io\\/crates\\/regex\\\" target=\\\"_blank\\\">regex<\\/a> \\u548c <a href=\\\"https:\\/\\/crates.io\\/crates\\/itertools\\\" target=\\\"_blank\\\">itertools<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.2<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 5.7.3<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2024<\\/p>\\r\\n\\r\\n<p><a href=\\\"https:\\/\\/lodash.com\\\" target=\\\"_blank\\\">lodash.js<\\/a> \\u5e93\\u5df2\\u7ecf\\u9ed8\\u8ba4\\u88ab\\u5305\\u542b\\u3002<\\/p>\\r\\n\\r\\n<p> \\u5982\\u9700\\u4f7f\\u7528\\u961f\\u5217\\/\\u4f18\\u5148\\u961f\\u5217\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/priority-queue\\/tree\\/v6.3.2\\\" target=\\\"_blank\\\"> datastructures-js\\/priority-queue@6.3.2<\\/a>\\uff0c<a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/queue\\/tree\\/v4.2.3\\\" target=\\\"_blank\\\"> datastructures-js\\/queue@4.2.3<\\/a> \\u4ee5\\u53ca <a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/deque\\/tree\\/v1.0.4\\\" target=\\\"_blank\\\"> datastructures-js\\/deque@1.0.4<\\/a>\\u3002<\\/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>\\u4f7f\\u7528 #lang racket<\\/p>\\r\\n\\r\\n<p>\\u5df2\\u9884\\u5148 (require data\\/gvector 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target=\\\"_blank\\\">\\u300c\\u4ed3\\u9889\\u7f16\\u7a0b\\u8bed\\u8a00\\u5f00\\u53d1\\u6307\\u5357\\u300d<\\/a><\\/p>\"]}",
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