组合数计算 

 1 #include <iostream>
 2 #include <unordered_map>
 3 #include <algorithm>
 4 #include <vector>
 5 #include <queue>
 6 
 7 using namespace std;
 8 
 9 class Solution
10 {
11     private:
12         int need_typesize;
13         int total_typesize = 43;
14         int result = 0;
15     public:
16         int DFS(int number)
17         {
18             need_typesize = number;
19             vector<int> tmp;
20             _DFS(0,tmp);
21             return result;
22         }
23         void _DFS(int start,vector<int>& tmp)
24         {
25             if(tmp.size()==need_typesize)
26             {
27                 result ++;
28             }
29             else if(tmp.size()<need_typesize)
30             {
31                 for(int i = start;i < total_typesize;i ++)
32                 {
33                 //    vector<int> tmp2 = tmp;
34                 //    _DFS(start+1,tmp2);
35                     tmp.emplace_back(i);
36                     _DFS(start+1,tmp);
37                     tmp.pop_back();
38                 }
39             }
40         }
41 };
42 
43 int main()
44 {
45     Solution obj;
46     int result = obj.DFS(3);
47     cout << result << endl;
48 //    for(auto v:result)
49 //    {
50 //        for(auto s:v)
51 //        {
52 //            cout << s << " ";
53 //        }
54 //        cout << endl;
55 //    }
56     return 0;
57 }
有顺序没重复
 1 #include <iostream>
 2 #include <unordered_map>
 3 #include <algorithm>
 4 #include <vector>
 5 #include <queue>
 6 
 7 using namespace std;
 8 
 9 class Solution
10 {
11     private:
12         int need_typesize;
13         int total_typesize = 23;
14         int result = 0;
15     public:
16         int DFS(int number)
17         {
18             need_typesize = number;
19             vector<int> tmp;
20             _DFS(tmp);
21             return result;
22         }
23         void _DFS(vector<int>& tmp)
24         {
25             if(tmp.size()==need_typesize)
26             {
27                 result ++;
28             }
29             else if(tmp.size()<need_typesize)
30             {
31                 for(int i = 0;i < total_typesize;i ++)
32                 {
33                 //    vector<int> tmp2 = tmp;
34                 //    _DFS(start+1,tmp2);
35                     tmp.emplace_back(i);
36                     _DFS(tmp);
37                     tmp.pop_back();
38                 }
39             }
40         }
41 };
42 
43 int main()
44 {
45     Solution obj;
46     int result = obj.DFS(6);
47     cout << result << endl;
48 //    for(auto v:result)
49 //    {
50 //        for(auto s:v)
51 //        {
52 //            cout << s << " ";
53 //        }
54 //        cout << endl;
55 //    }
56     return 0;
57 }
有顺序有重复
 1 #include <iostream>
 2 #include <unordered_map>
 3 #include <algorithm>
 4 #include <vector>
 5 #include <queue>
 6 
 7 using namespace std;
 8 
 9 class Solution
10 {
11     private:
12         int need_typesize;
13         int total_typesize = 19;
14         int result = 0;
15     public:
16         int DFS(int number)
17         {
18             need_typesize = number;
19             vector<int> tmp;
20             _DFS(0,tmp);
21             return result;
22         }
23         void _DFS(int start,vector<int>& tmp)
24         {
25             if(tmp.size()==need_typesize)
26             {
27                 result ++;
28             //    for(auto d:tmp)
29             //        cout << d << " ";
30             //    cout << endl;
31             }
32             else if(tmp.size()<need_typesize)
33             {
34                 for(int i = start;i < total_typesize;i ++)
35                 {
36                 //    vector<int> tmp2 = tmp;
37                 //    _DFS(start+1,tmp2);
38                     tmp.emplace_back(i);
39                     _DFS(i,tmp);
40                     tmp.pop_back();
41                 }
42             }
43         }
44 };
45 
46 int main()
47 {
48     Solution obj;
49     int result = obj.DFS(6);
50     cout << result << endl;
51 //    for(auto v:result)
52 //    {
53 //        for(auto s:v)
54 //        {
55 //            cout << s << " ";
56 //        }
57 //        cout << endl;
58 //    }
59     return 0;
60 }
没顺序有重复
 1 #include <iostream>
 2 #include <unordered_map>
 3 #include <algorithm>
 4 #include <vector>
 5 #include <queue>
 6 
 7 using namespace std;
 8 
 9 class Solution
10 {
11     private:
12         int need_typesize;
13         int total_typesize = 19;
14         int result = 0;
15     public:
16         int DFS(int number)
17         {
18             need_typesize = number;
19             vector<int> tmp;
20             _DFS(0,tmp);
21             return result;
22         }
23         void _DFS(int start,vector<int>& tmp)
24         {
25             if(tmp.size()==need_typesize)
26             {
27                 result ++;
28             //    for(auto d:tmp)
29             //        cout << d << " ";
30             //    cout << endl;
31             }
32             else if(tmp.size()<need_typesize)
33             {
34                 for(int i = start;i < total_typesize;i ++)
35                 {
36                 //    vector<int> tmp2 = tmp;
37                 //    _DFS(start+1,tmp2);
38                     tmp.emplace_back(i);
39                     _DFS(i+1,tmp);
40                     tmp.pop_back();
41                 }
42             }
43         }
44 };
45 
46 int main()
47 {
48     Solution obj;
49     int result = obj.DFS(6);
50     cout << result << endl;
51 //    for(auto v:result)
52 //    {
53 //        for(auto s:v)
54 //        {
55 //            cout << s << " ";
56 //        }
57 //        cout << endl;
58 //    }
59     return 0;
60 }
没顺序没重复

Solution类里的语句

int total_typesize = 43;

表明的是组合数中的C n底m中的n，而主函数调用中的语句

int result = obj.DFS(3);

 

表明的是组合数中的C n底m中的m。顺序和重复参考网站   https://zh.numberempire.com/combinatorialcalculator.php

另程序运行慢的原因是过了一遍所有的组合，想要存储全部组合的话，把变量result的类型改为vector<vector<int>>类型后，再把在Soluton类的语句

if(tmp.size()==need_typesize)
{
    result ++;
}

改为

if(tmp.size()==need_typesize)
{
    result.push_back(tmp);
}

即可。

 

posted @ 2018-08-17 18:36  Asurudo  阅读(193)  评论(0)  编辑  收藏  举报