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大样本统计

發布時間:2023/12/4 编程问答 32 豆豆
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題目描述

我們對 0 到 255 之間的整數進行采樣,并將結果存儲在數組 count 中:count[k] 就是整數 k 的采樣個數。

我們以 浮點數 數組的形式,分別返回樣本的最小值、最大值、平均值、中位數和眾數。其中,眾數是保證唯一的。

我們先來回顧一下中位數的知識:

  • 如果樣本中的元素有序,并且元素數量為奇數時,中位數為最中間的那個元素;
  • 如果樣本中的元素有序,并且元素數量為偶數時,中位數為中間的兩個元素的平均值。

示例 1:

輸入: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] 輸出:[1.00000,3.00000,2.37500,2.50000,3.00000]

示例 2:

輸入: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] 輸出:[1.00000,4.00000,2.18182,2.00000,1.00000]

提示:

  • count.length == 256
  • 1 <= sum(count) <= 10^9
  • 計數表示的眾數是唯一的
  • 答案與真實值誤差在 10^-5 以內就會被視為正確答案

解法

直接求解即可,
求和防溢出,使用long類型

public double[] sampleStats(int[] count) {//最小值、最大值、平均值、中位數和眾數int min = Integer.MAX_VALUE, max = Integer.MIN_VALUE, numCount=0, zs=0, countMax=0;long valCount=0;double[] res = new double[5];if(count == null || count.length<1) {return res;}for(int i=0;i<count.length;i++) {if(count[i]!=0) {min = Math.min(min, i);if(count[i] > countMax) {zs = i;}max = Math.max(max, i);countMax = Math.max(countMax, count[i]);numCount+= count[i];valCount+= i*count[i];}}if(numCount%2 ==0) {int tmp=0, first=0, second=0;for(int i=0;i<count.length;i++) {if(count[i]!=0) {tmp += count[i];if(tmp>=numCount/2 && first==0) {first = i;}if(tmp>=numCount/2+1 && second==0) {second=i;}if(first!=0 && second!=0) {res[3] = (double)(first+second)/(double)2;break;}}}}else {int tmp=0;for(int i=0;i<count.length;i++) {if(count[i]!=0) {tmp += count[i];if(tmp>=numCount/2) {res[3] = i;break;}}}}res[0] = min;res[1] = max;res[2] = (double)valCount/(double)numCount;res[4] = zs;return res;}

總結

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