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leetcode-problemset/leetcode/problem/kth-smallest-amount-with-single-denomination-combination.html
2024-04-30 10:04:49 +08:00

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<p>You are given an integer array <code>coins</code> representing coins of different denominations and an integer <code>k</code>.</p>
<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>
<p>Return the <code>k<sup>th</sup></code> <strong>smallest</strong> amount that can be made using these coins.</p>
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<div class="example-block" style="
border-color: var(--border-tertiary);
border-left-width: 2px;
color: var(--text-secondary);
font-size: .875rem;
margin-bottom: 1rem;
margin-top: 1rem;
overflow: visible;
padding-left: 1rem;
">
<p><strong>Input:</strong> <span class="example-io" style="
font-family: Menlo,sans-serif;
font-size: 0.85rem;
">coins = [3,6,9], k = 3</span></p>
<p><strong>Output:</strong> <span class="example-io" style="
font-family: Menlo,sans-serif;
font-size: 0.85rem;
"> 9</span></p>
<p><strong>Explanation:</strong> The given coins can make the following amounts:<br />
Coin 3 produces multiples of 3: 3, 6, 9, 12, 15, etc.<br />
Coin 6 produces multiples of 6: 6, 12, 18, 24, etc.<br />
Coin 9 produces multiples of 9: 9, 18, 27, 36, etc.<br />
All of the coins combined produce: 3, 6, <u><strong>9</strong></u>, 12, 15, etc.</p>
</div>
<p><strong class="example">Example 2:</strong></p>
<div class="example-block" style="
border-color: var(--border-tertiary);
border-left-width: 2px;
color: var(--text-secondary);
font-size: .875rem;
margin-bottom: 1rem;
margin-top: 1rem;
overflow: visible;
padding-left: 1rem;
">
<p><strong>Input:</strong><span class="example-io" style="
font-family: Menlo,sans-serif;
font-size: 0.85rem;
"> coins = [5,2], k = 7</span></p>
<p><strong>Output:</strong><span class="example-io" style="
font-family: Menlo,sans-serif;
font-size: 0.85rem;
"> 12 </span></p>
<p><strong>Explanation:</strong> The given coins can make the following amounts:<br />
Coin 5 produces multiples of 5: 5, 10, 15, 20, etc.<br />
Coin 2 produces multiples of 2: 2, 4, 6, 8, 10, 12, etc.<br />
All of the coins combined produce: 2, 4, 5, 6, 8, 10, <u><strong>12</strong></u>, 14, 15, etc.</p>
</div>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= coins.length &lt;= 15</code></li>
<li><code>1 &lt;= coins[i] &lt;= 25</code></li>
<li><code>1 &lt;= k &lt;= 2 * 10<sup>9</sup></code></li>
<li><code>coins</code> contains pairwise distinct integers.</li>
</ul>