Counting sort is a linear time sorting algorithm. It is used when all the numbers fall in a fixed range. Then it counts the appearances of each number and simply rewrites the original array. For a nice introduction to counting sort, please refer to I…

Radix sort is another linear time sorting algorithm. It sorts (using another sorting subroutine) the numbers from their least significant digits to most significant digits. To guarantee the correctness of radix sort, the sorting subroutine must be st…

#include <stdio.h> #include <malloc.h> #define MAX_STACK 10 ; // define the node of stack typedef struct node { int data; node *next; }*Snode; // define the stack typedef struct Stack{ Snode top; Snode bottom; }*NewStack; void creatStack(NewSt…

//counting sort 计数排序 //参考算法导论8.2节 #include<cstdio> #include<cstring> #include<algorithm> #include<cassert> using namespace std; ; ; , , , , , , }; int b[n]; ]; int main() { ; memset(c, , sizeof c); ;i<n;i++) { c[a[i]]++; maxn=ma…

本题是利用counting sort的思想去解题. 注意本题,好像利用直接排序,然后查找rank是会直接被判WA的.奇怪的推断系统. 由于分数值的范围是0到100,很小,而student 号码又很大,故此天然的须要利用counting sort的情况. #include <stdio.h> #include <string.h> const int MAX_N = 101; int arr[MAX_N]; int main() { int Jackson, JackScore, s…

Given an unsorted integer array, find the first missing positive integer. For example, Given [1,2,0] return 3, and [3,4,-1,1] return 2. Your algorithm should run in \(O(n)\) time and uses constant space. 若数组为[10,20,30], 则返回0+1 = 1, 因为 A[0]!=( 0 + 1 )…

今天贴出的算法是计数排序Counting Sort.在经过一番挣扎之前,我很纠结,今天这个算法在一些scenarios,并不是最优的算法.最坏情况和最好情况下,时间复杂度差距很大. 代码CountingSort.h: #include <stdlib.h> namespace dksl { void Sort(int *numArray,int length) { ]; int *temp=new int[length]; ;i<length;i++) { temp[i]=; if(ma…

In this challenge you need to print the data that accompanies each integer in a list. In addition, if two strings have the same integers, you need to print the strings in their original order. Hence, your sorting algorithm should be stable, i.e. the…

前面介绍的几种排序算法,都是基于不同位置的元素比较,算法平均时间复杂度理论最好值是θ(nlgn). 今天介绍一种新的排序算法,计数排序(Counting sort),计数排序是一个非基于比较的线性时间排序算法.它对输入的数据有附加的限制条件:输入序列中数据取值范围有限,比如都是小于upperLimit的整数: 算法分3步实现: 1)遍历输入序列,统计不同取值的个数,放入计数数组: 2)遍历计数数组,计算不大于各个取值的个数,更新计数数组: 3)逆序遍历输入序列,结合计数数组中个数,将数据放到输出…

在前6节课讲的排序方法(冒泡排序,归并排序,选择排序,插入排序,快速排序,堆排序,二分搜索树排序和AVL排序)都是属于对比模型(Comparison Model).对比模型的特点如下: 所有输入items是黑箱(ADTs, Abstract Data Types): 允许的操作只有对比(<,≤,>,≥,=): 时间消耗 = #对比. 之前绝大部分的对比模型是以决策树的结构出现的,这是因为任何对比模型都可以被认做所有可能对比.它们的结果和答案下的一棵树(原话:Decision Tree: any…