mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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201 lines
25 KiB
JSON
201 lines
25 KiB
JSON
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"title": "Kth Smallest Amount With Single Denomination Combination",
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"content": "<p>You are given an integer array <code>coins</code> representing coins of different denominations and an integer <code>k</code>.</p>\n\n<p>You have an infinite number of coins of each denomination. However, you are <strong>not allowed</strong> to combine coins of different denominations.</p>\n\n<p>Return the <code>k<sup>th</sup></code> <strong>smallest</strong> amount that can be made using these coins.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\" style=\"\n border-color: var(--border-tertiary);\n border-left-width: 2px;\n color: var(--text-secondary);\n font-size: .875rem;\n margin-bottom: 1rem;\n margin-top: 1rem;\n overflow: visible;\n padding-left: 1rem;\n\">\n<p><strong>Input:</strong> <span class=\"example-io\" style=\"\n font-family: Menlo,sans-serif;\n font-size: 0.85rem;\n\">coins = [3,6,9], k = 3</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\" style=\"\n font-family: Menlo,sans-serif;\n font-size: 0.85rem;\n\"> 9</span></p>\n\n<p><strong>Explanation:</strong> The given coins can make the following amounts:<br />\nCoin 3 produces multiples of 3: 3, 6, 9, 12, 15, etc.<br />\nCoin 6 produces multiples of 6: 6, 12, 18, 24, etc.<br />\nCoin 9 produces multiples of 9: 9, 18, 27, 36, etc.<br />\nAll of the coins combined produce: 3, 6, <u><strong>9</strong></u>, 12, 15, etc.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\" style=\"\n border-color: var(--border-tertiary);\n border-left-width: 2px;\n color: var(--text-secondary);\n font-size: .875rem;\n margin-bottom: 1rem;\n margin-top: 1rem;\n overflow: visible;\n padding-left: 1rem;\n\">\n<p><strong>Input:</strong><span class=\"example-io\" style=\"\n font-family: Menlo,sans-serif;\n font-size: 0.85rem;\n\"> coins = [5,2], k = 7</span></p>\n\n<p><strong>Output:</strong><span class=\"example-io\" style=\"\n font-family: Menlo,sans-serif;\n font-size: 0.85rem;\n\"> 12 </span></p>\n\n<p><strong>Explanation:</strong> The given coins can make the following amounts:<br />\nCoin 5 produces multiples of 5: 5, 10, 15, 20, etc.<br />\nCoin 2 produces multiples of 2: 2, 4, 6, 8, 10, 12, etc.<br />\nAll of the coins combined produce: 2, 4, 5, 6, 8, 10, <u><strong>12</strong></u>, 14, 15, etc.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= coins.length <= 15</code></li>\n\t<li><code>1 <= coins[i] <= 25</code></li>\n\t<li><code>1 <= k <= 2 * 10<sup>9</sup></code></li>\n\t<li><code>coins</code> contains pairwise distinct integers.</li>\n</ul>\n",
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"translatedTitle": "单面值组合的第 K 小金额",
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"translatedContent": "<p>给你一个整数数组 <code>coins</code> 表示不同面额的硬币，另给你一个整数 <code>k</code> 。</p>\n\n<p>你有无限量的每种面额的硬币。但是，你<strong> 不能 </strong>组合使用不同面额的硬币。</p>\n\n<p>返回使用这些硬币能制造的<strong> 第 </strong><code>k<sup>th</sup></code><strong> 小</strong> 金额。</p>\n\n<p> </p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\" style=\"\n border-color: var(--border-tertiary);\n border-left-width: 2px;\n color: var(--text-secondary);\n font-size: .875rem;\n margin-bottom: 1rem;\n margin-top: 1rem;\n overflow: visible;\n padding-left: 1rem;\">\n<p><strong>输入：</strong> <span class=\"example-io\" style=\"\n font-family: Menlo,sans-serif;\n font-size: 0.85rem;\">coins = [3,6,9], k = 3</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\" style=\"\n font-family: Menlo,sans-serif;\n font-size: 0.85rem;\">9</span></p>\n\n<p><strong>解释：</strong>给定的硬币可以制造以下金额：<br />\n3元硬币产生3的倍数：3, 6, 9, 12, 15等。<br />\n6元硬币产生6的倍数：6, 12, 18, 24等。<br />\n9元硬币产生9的倍数：9, 18, 27, 36等。<br />\n所有硬币合起来可以产生：3, 6, <u><strong>9</strong></u>, 12, 15等。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\" style=\"\n border-color: var(--border-tertiary);\n border-left-width: 2px;\n color: var(--text-secondary);\n font-size: .875rem;\n margin-bottom: 1rem;\n margin-top: 1rem;\n overflow: visible;\n padding-left: 1rem;\">\n<p><strong>输入：</strong><span class=\"example-io\" style=\"\n font-family: Menlo,sans-serif;\n font-size: 0.85rem;\">coins = [5,2], k = 7</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\" style=\"\n font-family: Menlo,sans-serif;\n font-size: 0.85rem;\">12</span></p>\n\n<p><strong>解释：</strong>给定的硬币可以制造以下金额：<br />\n5元硬币产生5的倍数：5, 10, 15, 20等。<br />\n2元硬币产生2的倍数：2, 4, 6, 8, 10, 12等。<br />\n所有硬币合起来可以产生：2, 4, 5, 6, 8, 10, <u><strong>12</strong></u>, 14, 15等。</p>\n</div>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= coins.length <= 15</code></li>\n\t<li><code>1 <= coins[i] <= 25</code></li>\n\t<li><code>1 <= k <= 2 * 10<sup>9</sup></code></li>\n\t<li><code>coins</code> 包含两两不同的整数。</li>\n</ul>\n",
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