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182 lines
27 KiB
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182 lines
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"content": "<p>You are given a large sample of integers in the range <code>[0, 255]</code>. Since the sample is so large, it is represented by an array <code>count</code> where <code>count[k]</code> is the <strong>number of times</strong> that <code>k</code> appears in the sample.</p>\n\n<p>Calculate the following statistics:</p>\n\n<ul>\n\t<li><code>minimum</code>: The minimum element in the sample.</li>\n\t<li><code>maximum</code>: The maximum element in the sample.</li>\n\t<li><code>mean</code>: The average of the sample, calculated as the total sum of all elements divided by the total number of elements.</li>\n\t<li><code>median</code>:\n\t<ul>\n\t\t<li>If the sample has an odd number of elements, then the <code>median</code> is the middle element once the sample is sorted.</li>\n\t\t<li>If the sample has an even number of elements, then the <code>median</code> is the average of the two middle elements once the sample is sorted.</li>\n\t</ul>\n\t</li>\n\t<li><code>mode</code>: The number that appears the most in the sample. It is guaranteed to be <strong>unique</strong>.</li>\n</ul>\n\n<p>Return <em>the statistics of the sample as an array of floating-point numbers </em><code>[minimum, maximum, mean, median, mode]</code><em>. Answers within </em><code>10<sup>-5</sup></code><em> of the actual answer will be accepted.</em></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> count = [0,1,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n<strong>Output:</strong> [1.00000,3.00000,2.37500,2.50000,3.00000]\n<strong>Explanation:</strong> The sample represented by count is [1,2,2,2,3,3,3,3].\nThe minimum and maximum are 1 and 3 respectively.\nThe mean is (1+2+2+2+3+3+3+3) / 8 = 19 / 8 = 2.375.\nSince the size of the sample is even, the median is the average of the two middle elements 2 and 3, which is 2.5.\nThe mode is 3 as it appears the most in the sample.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> count = [0,4,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n<strong>Output:</strong> [1.00000,4.00000,2.18182,2.00000,1.00000]\n<strong>Explanation:</strong> The sample represented by count is [1,1,1,1,2,2,2,3,3,4,4].\nThe minimum and maximum are 1 and 4 respectively.\nThe mean is (1+1+1+1+2+2+2+3+3+4+4) / 11 = 24 / 11 = 2.18181818... (for display purposes, the output shows the rounded number 2.18182).\nSince the size of the sample is odd, the median is the middle element 2.\nThe mode is 1 as it appears the most in the sample.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>count.length == 256</code></li>\n\t<li><code>0 <= count[i] <= 10<sup>9</sup></code></li>\n\t<li><code>1 <= sum(count) <= 10<sup>9</sup></code></li>\n\t<li>The mode of the sample that <code>count</code> represents is <strong>unique</strong>.</li>\n</ul>\n",
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"translatedTitle": "大样本统计",
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"translatedContent": "<p>我们对 <code>0</code> 到 <code>255</code> 之间的整数进行采样,并将结果存储在数组 <code>count</code> 中:<code>count[k]</code> 就是整数 <code>k</code> 在样本中出现的次数。</p>\n\n<p>计算以下统计数据:</p>\n\n<ul>\n\t<li><code>minimum</code> :样本中的最小元素。</li>\n\t<li><code>maximum</code> :样品中的最大元素。</li>\n\t<li><code>mean</code> :样本的平均值,计算为所有元素的总和除以元素总数。</li>\n\t<li><code>median</code> :\n\t<ul>\n\t\t<li>如果样本的元素个数是奇数,那么一旦样本排序后,中位数 <code>median</code> 就是中间的元素。</li>\n\t\t<li>如果样本中有偶数个元素,那么中位数<code>median</code> 就是样本排序后中间两个元素的平均值。</li>\n\t</ul>\n\t</li>\n\t<li><code>mode</code> :样本中出现次数最多的数字。保众数是 <strong>唯一</strong> 的。</li>\n</ul>\n\n<p>以浮点数数组的形式返回样本的统计信息<em> </em><code>[minimum, maximum, mean, median, mode]</code> 。与真实答案误差在<em> </em><code>10<sup>-5</sup></code><em> </em>内的答案都可以通过。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong>count = [0,1,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n<strong>输出:</strong>[1.00000,3.00000,2.37500,2.50000,3.00000]\n<strong>解释:</strong>用count表示的样本为[1,2,2,2,3,3,3,3]。\n最小值和最大值分别为1和3。\n均值是(1+2+2+2+3+3+3+3) / 8 = 19 / 8 = 2.375。\n因为样本的大小是偶数,所以中位数是中间两个元素2和3的平均值,也就是2.5。\n众数为3,因为它在样本中出现的次数最多。</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong>count = [0,4,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]\n<strong>输出:</strong>[1.00000,4.00000,2.18182,2.00000,1.00000]\n<strong>解释:</strong>用count表示的样本为[1,1,1,1,2,2,3,3,3,4,4]。\n最小值为1,最大值为4。\n平均数是(1+1+1+1+2+2+2+3+3+4+4)/ 11 = 24 / 11 = 2.18181818…(为了显示,输出显示了整数2.18182)。\n因为样本的大小是奇数,所以中值是中间元素2。\n众数为1,因为它在样本中出现的次数最多。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>count.length == 256</code></li>\n\t<li><code>0 <= count[i] <= 10<sup>9</sup></code></li>\n\t<li><code>1 <= sum(count) <= 10<sup>9</sup></code></li>\n\t<li> <code>count</code> 的众数是 <strong>唯一</strong> 的</li>\n</ul>\n",
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