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  • hdu 1233 还是畅通工程 (prim, kruskal)

    还是畅通工程
    Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
    Total Submission(s): 58241    Accepted Submission(s): 26468

    Problem Description
    某省调查乡村交通状况,得到的统计表中列出了任意两村庄间的距离。省政府“畅通工程”的目标是使全省任何两个村庄间都可以实现公路交通(但不一定有直接的公路相连,只要能间接通过公路可达即可),并要求铺设的公路总长度为最小。请计算最小的公路总长度。
     
    Input
    测试输入包含若干测试用例。每个测试用例的第1行给出村庄数目N ( < 100 );随后的N(N-1)/2行对应村庄间的距离,每行给出一对正整数,分别是两个村庄的编号,以及此两村庄间的距离。为简单起见,村庄从1到N编号。
    当N为0时,输入结束,该用例不被处理。
     
    Output
    对每个测试用例,在1行里输出最小的公路总长度。
     
    Sample Input
    3
    1 2 1
    1 3 2
    2 3 4
    4
    1 2 1
    1 3 4
    1 4 1
    2 3 3
    2 4 2
    3 4 5
    0
     
    Sample Output
    3
    5
    Hint
    Hint
     
    Huge input, scanf is recommended.

    C/C++(prim):

     1 #include <cstdio>
     2 #include <climits>
     3 using namespace std;
     4 
     5 int n, my_map[110][110];
     6 
     7 int my_prim()
     8 {
     9     int my_pos = 1, my_book[110] = {0, 1}, my_dis[110] = {0, INT_MAX}, my_ans = 0;
    10     for (int i = 2; i <= n; ++ i)
    11         my_dis[i] = my_map[my_pos][i];
    12     for (int i = 1; i < n; ++ i)
    13     {
    14         int my_temp = INT_MAX;
    15         for (int j = 1; j <= n; ++ j)
    16         {
    17             if (!my_book[j] && my_dis[j] < my_temp)
    18             {
    19                 my_temp = my_dis[j];
    20                 my_pos = j;
    21             }
    22         }
    23         my_ans += my_temp;
    24         my_book[my_pos] = 1;
    25         for (int j = 1; j <= n; ++ j)
    26             if (my_dis[j] > my_map[j][my_pos])
    27                 my_dis[j] = my_map[j][my_pos];
    28     }
    29     return my_ans;
    30 }
    31 
    32 int main()
    33 {
    34     while (scanf("%d", &n), n)
    35     {
    36         int my_line = n * (n-1) / 2;
    37         for (int i = 0; i < my_line; ++ i)
    38         {
    39             int a, b, a_b_dis;
    40             scanf("%d%d%d", &a, &b, &a_b_dis);
    41             my_map[a][b] = my_map[b][a] = a_b_dis;
    42         }
    43         printf("%d
    ", my_prim());
    44     }
    45     return 0;
    46 }

     C/C++ (kruskal):

     1 #include <cstdio>
     2 #include <climits>
     3 #include <algorithm>
     4 using namespace std;
     5 
     6 int n, my_line, my_pre[110];
     7 struct node
     8 {
     9     int a, b, a_b_dis;
    10 }my_dis[6000];
    11 
    12 bool cmp(node a, node b)
    13 {
    14     return a.a_b_dis < b.a_b_dis;
    15 }
    16 
    17 int my_find(int x)
    18 {
    19     int n = x;
    20     while (n != my_pre[n])
    21         n = my_pre[n];
    22     int i = x, j;
    23     while (my_pre[i] != n)
    24     {
    25         j = my_pre[i];
    26         my_pre[i] = n;
    27         i = j;
    28     }
    29     return n;
    30 }
    31 
    32 void my_join(int a, int b)
    33 {
    34     int n1 = my_find(a), n2 = my_find(b);
    35     my_pre[n1] = n2;
    36 }
    37 
    38 int my_kruskal()
    39 {
    40     /**
    41         Initialize
    42     */
    43     int my_ans = 0;
    44     sort(my_dis, my_dis + my_line, cmp);
    45     for (int i = 1; i <= n; ++ i)
    46         my_pre[i] = i;
    47 
    48     for (int i = 0; i < my_line; ++ i)
    49     {
    50         int a = my_find(my_dis[i].a), b = my_find(my_dis[i].b);
    51         if (a != b)
    52         {
    53             my_pre[a] = b;
    54             my_ans += my_dis[i].a_b_dis;
    55         }
    56     }
    57 
    58     return my_ans;
    59 }
    60 
    61 int main()
    62 {
    63     while (scanf("%d", &n), n)
    64     {
    65         my_line = n * (n-1) / 2;
    66         for (int i = 0; i < my_line; ++ i)
    67             scanf("%d%d%d", &my_dis[i].a, &my_dis[i].b, &my_dis[i].a_b_dis);
    68         printf("%d
    ", my_kruskal());
    69     }
    70     return 0;
    71 }
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  • 原文地址:https://www.cnblogs.com/GetcharZp/p/9426834.html
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