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"content": "<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>\n\n<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>\n\n<p>Return <em>the <strong>minimum</strong> number of magic beans that you have to remove</em>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> beans = [4,<u><strong>1</strong></u>,6,5]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> \n- We remove 1 bean from the bag with only 1 bean.\n This results in the remaining bags: [4,<b><u>0</u></b>,6,5]\n- Then we remove 2 beans from the bag with 6 beans.\n This results in the remaining bags: [4,0,<strong><u>4</u></strong>,5]\n- Then we remove 1 bean from the bag with 5 beans.\n This results in the remaining bags: [4,0,4,<b><u>4</u></b>]\nWe removed a total of 1 + 2 + 1 = 4 beans to make the remaining non-empty bags have an equal number of beans.\nThere are no other solutions that remove 4 beans or fewer.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> beans = [<strong><u>2</u></strong>,10,<u><strong>3</strong></u>,<strong><u>2</u></strong>]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong>\n- We remove 2 beans from one of the bags with 2 beans.\n This results in the remaining bags: [<u><strong>0</strong></u>,10,3,2]\n- Then we remove 2 beans from the other bag with 2 beans.\n This results in the remaining bags: [0,10,3,<u><strong>0</strong></u>]\n- Then we remove 3 beans from the bag with 3 beans. \n This results in the remaining bags: [0,10,<u><strong>0</strong></u>,0]\nWe removed a total of 2 + 2 + 3 = 7 beans to make the remaining non-empty bags have an equal number of beans.\nThere are no other solutions that removes 7 beans or fewer.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= beans.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= beans[i] <= 10<sup>5</sup></code></li>\n</ul>\n",
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"Notice that if we choose to make x bags of beans empty, we should choose the x bags with the least amount of beans.",
"Notice that if the minimum number of beans in a non-empty bag is m, then the best way to make all bags have an equal amount of beans is to reduce all the bags to have m beans.",
"Can we iterate over how many bags we should remove and choose the one that minimizes the total amount of beans to remove?",
"Sort the bags of beans first."
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