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47 lines
2.3 KiB
HTML
47 lines
2.3 KiB
HTML
<p>You are given an array of <strong>positive</strong> integers <code>beans</code>, where each integer represents the number of magic beans found in a particular magic bag.</p>
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<p><strong>Remove</strong> any number of beans (<strong>possibly none</strong>) from each bag such that the number of beans in each remaining <strong>non-empty</strong> bag (still containing <strong>at least one</strong> bean) is <strong>equal</strong>. Once a bean has been removed from a bag, you are <strong>not</strong> allowed to return it to any of the bags.</p>
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<p>Return <em>the <strong>minimum</strong> number of magic beans that you have to remove</em>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> beans = [4,<u><strong>1</strong></u>,6,5]
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<strong>Output:</strong> 4
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<strong>Explanation:</strong>
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- We remove 1 bean from the bag with only 1 bean.
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This results in the remaining bags: [4,<b><u>0</u></b>,6,5]
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- Then we remove 2 beans from the bag with 6 beans.
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This results in the remaining bags: [4,0,<strong><u>4</u></strong>,5]
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- Then we remove 1 bean from the bag with 5 beans.
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This results in the remaining bags: [4,0,4,<b><u>4</u></b>]
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We removed a total of 1 + 2 + 1 = 4 beans to make the remaining non-empty bags have an equal number of beans.
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There are no other solutions that remove 4 beans or fewer.
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> beans = [<strong><u>2</u></strong>,10,<u><strong>3</strong></u>,<strong><u>2</u></strong>]
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<strong>Output:</strong> 7
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<strong>Explanation:</strong>
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- We remove 2 beans from one of the bags with 2 beans.
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This results in the remaining bags: [<u><strong>0</strong></u>,10,3,2]
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- Then we remove 2 beans from the other bag with 2 beans.
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This results in the remaining bags: [0,10,3,<u><strong>0</strong></u>]
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- Then we remove 3 beans from the bag with 3 beans.
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This results in the remaining bags: [0,10,<u><strong>0</strong></u>,0]
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We removed a total of 2 + 2 + 3 = 7 beans to make the remaining non-empty bags have an equal number of beans.
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There are no other solutions that removes 7 beans or fewer.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= beans.length <= 10<sup>5</sup></code></li>
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<li><code>1 <= beans[i] <= 10<sup>5</sup></code></li>
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</ul>
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