洗牌算法:
Fisher-Yates洗牌算法是一种简单有效的算法,用于以随机顺序洗牌一组项。算法原理如下:
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从集合的最后一个元素开始,并与集合中的一个随机元素(包括它本身)交换它。
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在集合中向后移动并重复第1步,直到到达第一个元素。
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该算法保证集合中的每个项目都将以相等的概率进行洗牌。
下面是一个Java彩票程序的实现,它允许你通过指定每个奖品的中奖几率来控制中奖概率:
import java.util.ArrayList;
import java.util.List;
import java.util.Random;
public class Lottery {
public static void main(String[] args) {
List<String> prizes = new ArrayList<>();
prizes.add("First prize");
prizes.add("Second prize");
prizes.add("Third prize");
int[] odds = {1, 2, 5}; // odds of winning each prize
String winner = draw(prizes, odds);
System.out.println("The winner is: " + winner);
}
public static String draw(List<String> prizes, int[] odds) {
List<String> pool = new ArrayList<>();
for (int i = 0; i < prizes.size(); i++) {
for (int j = 0; j < odds[i]; j++) {
pool.add(prizes.get(i));
}
}
Random rand = new Random();
int index = rand.nextInt(pool.size());
return pool.get(index);
}
}
在这个实现中,您可以指定奖品列表和每个奖品的中奖几率。draw方法根据中奖几率创建一个条目池,并从池中随机选择一个获胜者。
下面是同一个程序在c#中的实现:
using System;
using System.Collections.Generic;
class Lottery {
static void Main() {
List<string> prizes = new List<string>();
prizes.Add("First prize");
prizes.Add("Second prize");
prizes.Add("Third prize");
int[] odds = {1, 2, 5}; // odds of winning each prize
string winner = Draw(prizes, odds);
Console.WriteLine("The winner is: " + winner);
}
static string Draw(List<string> prizes, int[] odds) {
List<string> pool = new List<string>();
for (int i = 0; i < prizes.Count; i++) {
for (int j = 0; j < odds[i]; j++) {
pool.Add(prizes[i]);
}
}
Random rand = new Random();
int index = rand.Next(pool.Count);
return pool[index];
}
}
这个实现非常类似于Java实现,但是使用c#中的List类。注意,与Java相比,c#中声明和使用列表和for循环的语法略有不同。
Shuffling Algorithm:
The Fisher-Yates shuffle algorithm is a simple and efficient algorithm used to shuffle a collection of items in a random order. The algorithm works as follows:
Start with the last element of the collection and swap it with a random element from the collection (including itself).
Move backwards in the collection and repeat step 1 until you reach the first element.
This algorithm guarantees that each item in the collection will be shuffled with an equal probability.
Lottery Program:
Here’s an implementation of a lottery program in Java that allows you to control the probability of winning by specifying the odds of winning for each prize:
import java.util.ArrayList;
import java.util.List;
import java.util.Random;
public class Lottery {
public static void main(String[] args) {
List<String> prizes = new ArrayList<>();
prizes.add("First prize");
prizes.add("Second prize");
prizes.add("Third prize");
int[] odds = {1, 2, 5}; // odds of winning each prize
String winner = draw(prizes, odds);
System.out.println("The winner is: " + winner);
}
public static String draw(List<String> prizes, int[] odds) {
List<String> pool = new ArrayList<>();
for (int i = 0; i < prizes.size(); i++) {
for (int j = 0; j < odds[i]; j++) {
pool.add(prizes.get(i));
}
}
Random rand = new Random();
int index = rand.nextInt(pool.size());
return pool.get(index);
}
}
In this implementation, you can specify the list of prizes and the odds of winning for each prize. The draw method creates a pool of entries based on the odds of winning and randomly selects a winner from the pool.
And here’s an implementation of the same program in C#:
using System;
using System.Collections.Generic;
class Lottery {
static void Main() {
List<string> prizes = new List<string>();
prizes.Add("First prize");
prizes.Add("Second prize");
prizes.Add("Third prize");
int[] odds = {1, 2, 5}; // odds of winning each prize
string winner = Draw(prizes, odds);
Console.WriteLine("The winner is: " + winner);
}
static string Draw(List<string> prizes, int[] odds) {
List<string> pool = new List<string>();
for (int i = 0; i < prizes.Count; i++) {
for (int j = 0; j < odds[i]; j++) {
pool.Add(prizes[i]);
}
}
Random rand = new Random();
int index = rand.Next(pool.Count);
return pool[index];
}
}
This implementation is very similar to the Java implementation, but uses the List class in C# instead. Note that the syntax for declaring and using lists and for loops is slightly different in C# compared to Java.