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"boundTopicId": 3738803,
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"title": "Minimum Removals to Balance Array",
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"titleSlug": "minimum-removals-to-balance-array",
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"content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>.</p>\n\n<p>An array is considered <strong>balanced</strong> if the value of its <strong>maximum</strong> element is <strong>at most</strong> <code>k</code> times the <strong>minimum</strong> element.</p>\n\n<p>You may remove <strong>any</strong> number of elements from <code>nums</code> without making it <strong>empty</strong>.</p>\n\n<p>Return the <strong>minimum</strong> number of elements to remove so that the remaining array is balanced.</p>\n\n<p><strong>Note:</strong> An array of size 1 is considered balanced as its maximum and minimum are equal, and the condition always holds true.</p>\n\n<p> </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\">nums = [2,1,5], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Remove <code>nums[2] = 5</code> to get <code>nums = [2, 1]</code>.</li>\n\t<li>Now <code>max = 2</code>, <code>min = 1</code> and <code>max <= min * k</code> as <code>2 <= 1 * 2</code>. Thus, the answer is 1.</li>\n</ul>\n</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\">nums = [1,6,2,9], k = 3</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Remove <code>nums[0] = 1</code> and <code>nums[3] = 9</code> to get <code>nums = [6, 2]</code>.</li>\n\t<li>Now <code>max = 6</code>, <code>min = 2</code> and <code>max <= min * k</code> as <code>6 <= 2 * 3</code>. Thus, the answer is 2.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [4,6], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Since <code>nums</code> is already balanced as <code>6 <= 4 * 2</code>, no elements need to be removed.</li>\n</ul>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li><code>1 <= k <= 10<sup>5</sup></code></li>\n</ul>\n",
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"content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>.</p>\n\n<p>An array is considered <strong>balanced</strong> if the value of its <strong>maximum</strong> element is <strong>at most</strong> <code>k</code> times the <strong>minimum</strong> element.</p>\n\n<p>You may remove <strong>any</strong> number of elements from <code>nums</code> without making it <strong>empty</strong>.</p>\n\n<p>Return the <strong>minimum</strong> number of elements to remove so that the remaining array is balanced.</p>\n\n<p><strong>Note:</strong> An array of size 1 is considered balanced as its maximum and minimum are equal, and the condition always holds true.</p>\n\n<p> </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\">nums = [2,1,5], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Remove <code>nums[2] = 5</code> to get <code>nums = [2, 1]</code>.</li>\n\t<li>Now <code>max = 2</code>, <code>min = 1</code> and <code>max <= min * k</code> as <code>2 <= 1 * 2</code>. Thus, the answer is 1.</li>\n</ul>\n</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\">nums = [1,6,2,9], k = 3</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Remove <code>nums[0] = 1</code> and <code>nums[3] = 9</code> to get <code>nums = [6, 2]</code>.</li>\n\t<li>Now <code>max = 6</code>, <code>min = 2</code> and <code>max <= min * k</code> as <code>6 <= 2 * 3</code>. Thus, the answer is 2.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [4,6], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Since <code>nums</code> is already balanced as <code>6 <= 4 * 2</code>, no elements need to be removed.</li>\n</ul>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li><code>1 <= k <= 10<sup>5</sup></code></li>\n</ul>\n",
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"translatedTitle": "使数组平衡的最少移除数目",
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"translatedContent": "<p>给你一个整数数组 <code>nums</code> 和一个整数 <code>k</code>。</p>\n\n<p>如果一个数组的 <strong>最大 </strong>元素的值 <strong>至多 </strong>是其 <strong>最小 </strong>元素的 <code>k</code> 倍,则该数组被称为是 <strong>平衡 </strong>的。</p>\n\n<p>你可以从 <code>nums</code> 中移除 <strong>任意 </strong>数量的元素,但不能使其变为 <strong>空 </strong>数组。</p>\n\n<p>返回为了使剩余数组平衡,需要移除的元素的 <strong>最小 </strong>数量。</p>\n\n<p><strong>注意:</strong>大小为 1 的数组被认为是平衡的,因为其最大值和最小值相等,且条件总是成立。</p>\n\n<p> </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\">nums = [2,1,5], k = 2</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">1</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>移除 <code>nums[2] = 5</code> 得到 <code>nums = [2, 1]</code>。</li>\n\t<li>现在 <code>max = 2</code>, <code>min = 1</code>,且 <code>max <= min * k</code>,因为 <code>2 <= 1 * 2</code>。因此,答案是 1。</li>\n</ul>\n</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\">nums = [1,6,2,9], k = 3</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">2</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>移除 <code>nums[0] = 1</code> 和 <code>nums[3] = 9</code> 得到 <code>nums = [6, 2]</code>。</li>\n\t<li>现在 <code>max = 6</code>, <code>min = 2</code>,且 <code>max <= min * k</code>,因为 <code>6 <= 2 * 3</code>。因此,答案是 2。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong><span class=\"example-io\">nums = [4,6], k = 2</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">0</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>由于 <code>nums</code> 已经平衡,因为 <code>6 <= 4 * 2</code>,所以不需要移除任何元素。</li>\n</ul>\n</div>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li><code>1 <= k <= 10<sup>5</sup></code></li>\n</ul>\n",
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