问题: 一个人可以有三本证书:A 证 B 证 C 证 (可以有1~3本),现在有 10 个人,从中随机抽取 5 人,要求拥有 A 证 2 人,B 证 2 人,C 证 1人。用什么算法?
注: 1. 假如某个人拥有 A 证 B 证,抽取A证时抽到该人,抽取B 证不会再抽到该专家。
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先用只有1本证书的人填充,假设这样以后A证书的人满了,那么就将有AB,AC证书的当B,C证书处理。继续填充,最后不够就用有3本证书的人。所以证书越多工作机会越少。。。
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- C# code
 
    static void Main(string[] args)    {        var allExperts = new List<Expert>() {            new Expert{ name="专家1", certs=new[]{ "A", "B"} },            new Expert{ name= "专家2", certs=new[]{"A","B" }},            new Expert{ name= "专家3", certs=new[]{"A" }},            new Expert{ name= "专家4", certs=new[]{"A","C" }},            new Expert{ name= "专家5", certs=new[]{"A" }},            new Expert{ name= "专家6", certs=new[]{"B" }},            new Expert{ name= "专家7", certs=new[]{"A" }},             new Expert{ name= "专家8", certs=new[]{"C" }},             new Expert{ name= "专家9", certs=new[]{"C" }},             new Expert{ name= "专家10", certs=new[]{"C" }}         };        var groups = new List<Group>() {             new Group{cert="A", need = 2},            new Group{cert="B", need = 2},            new Group{cert="C", need = 1}        };        var rand = new Random();        Func<List<Expert>, string, int, List<Expert>> draw = (experts, cert, count) =>        {            var picked = experts.Where(e => e.certs.Contains(cert)).OrderBy(e => rand.Next()).Take(count).ToList();            experts.RemoveAll(e => picked.Contains(e));            return picked;        };        Action<Group> pick = null;        pick = group =>        {            group.experts.AddRange(draw(allExperts, group.cert, group.lacks));            if (group.lacks > 0)            {                groups.Take(groups.IndexOf(group)).Reverse().ToList().ForEach(g =>                {                    group.experts.AddRange(draw(g.experts, group.cert, group.lacks));                    pick(g);                });            }        };        foreach (var g in groups)            pick(g);        foreach (var g in groups)                Console.WriteLine("{0}: {1}", g.cert, g.lacks > 0 ? "专家不够" : string.Join(", ", g.experts.Select(e => e.name)));    }    public class Expert    {        public string name;        public string[] certs;    }    public class Group    {        public string cert;        public int need;        public List<Expert> experts = new List<Expert>();        public int lacks        {            get { return need - experts.Count; }        }    }
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 Private Enum ExpertEnum
       A = 1 'a证
       B = 2 'b证
       C = 4 'c证
       D = 8 '选中状态
   End Enum
   Private Nerd(9) As Boolean
   Private Function GetNerdID(ByVal nExpertEnum As ExpertEnum) As Integer '取得指定证书的专家ID并设置专家下次不可选
       Dim i As Integer
       For i = 0 To 9
           If (Nerd(i) And ExpertEnum.D) = False Then
               If Nerd(i) And nExpertEnum Then '位与运算
                   Nerd(i) = Nerd(i) Or ExpertEnum.D '位或运算
                   Return i
               End If
           End If
       Next
   End Function
   Private Sub GetNerdID(ByVal nNerdID As Integer, ByVal nExpertEnum As ExpertEnum)    '设置指定的专家有指定的证书  
       Nerd(nNerdID) = Nerd(nNerdID) Or nExpertEnum '位或运算
   End Sub
   Private Sub Clear()    '重新来过  
       ReDim Nerd(9)