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  • [HDOJ1083]Courses(二分图最大匹配,匈牙利算法)

    题目链接:http://acm.split.hdu.edu.cn/showproblem.php?pid=1083

    题意:没咋仔细看,感觉是n个学生m个课程,学生只能选一门课,每门课只能有一个学生选。给一个图描述学生和课程的喜好关系,问学生能不能都选到课。

    按照学生和课程直接建图,做最大匹配,结果如果和学生数相同则说明都可以选到课。

      1 /*
      2 ━━━━━┒ギリギリ♂ eye!
      3 ┓┏┓┏┓┃キリキリ♂ mind!
      4 ┛┗┛┗┛┃\○/
      5 ┓┏┓┏┓┃ /
      6 ┛┗┛┗┛┃ノ)
      7 ┓┏┓┏┓┃
      8 ┛┗┛┗┛┃
      9 ┓┏┓┏┓┃
     10 ┛┗┛┗┛┃
     11 ┓┏┓┏┓┃
     12 ┛┗┛┗┛┃
     13 ┓┏┓┏┓┃
     14 ┃┃┃┃┃┃
     15 ┻┻┻┻┻┻
     16 */
     17 #include <algorithm>
     18 #include <iostream>
     19 #include <iomanip>
     20 #include <cstring>
     21 #include <climits>
     22 #include <complex>
     23 #include <fstream>
     24 #include <cassert>
     25 #include <cstdio>
     26 #include <bitset>
     27 #include <vector>
     28 #include <deque>
     29 #include <queue>
     30 #include <stack>
     31 #include <ctime>
     32 #include <set>
     33 #include <map>
     34 #include <cmath>
     35 using namespace std;
     36 #define fr first
     37 #define sc second
     38 #define cl clear
     39 #define BUG puts("here!!!")
     40 #define W(a) while(a--)
     41 #define pb(a) push_back(a)
     42 #define Rint(a) scanf("%d", &a)
     43 #define Rll(a) scanf("%I64d", &a)
     44 #define Rs(a) scanf("%s", a)
     45 #define Cin(a) cin >> a
     46 #define FRead() freopen("in", "r", stdin)
     47 #define FWrite() freopen("out", "w", stdout)
     48 #define Rep(i, len) for(int i = 0; i < (len); i++)
     49 #define For(i, a, len) for(int i = (a); i < (len); i++)
     50 #define Cls(a) memset((a), 0, sizeof(a))
     51 #define Clr(a, x) memset((a), (x), sizeof(a))
     52 #define Full(a) memset((a), 0x7f7f7f, sizeof(a))
     53 #define lrt rt << 1
     54 #define rrt rt << 1 | 1
     55 #define pi 3.14159265359
     56 #define RT return
     57 #define lowbit(x) x & (-x)
     58 #define onecnt(x) __builtin_popcount(x)
     59 typedef long long LL;
     60 typedef long double LD;
     61 typedef unsigned long long ULL;
     62 typedef pair<int, int> pii;
     63 typedef pair<string, int> psi;
     64 typedef pair<LL, LL> pll;
     65 typedef map<string, int> msi;
     66 typedef vector<int> vi;
     67 typedef vector<LL> vl;
     68 typedef vector<vl> vvl;
     69 typedef vector<bool> vb;
     70 
     71 const int maxn = 330;
     72 int nu, nv;
     73 int G[maxn][maxn];
     74 int linker[maxn];
     75 bool vis[maxn];
     76 
     77 bool dfs(int u) {
     78     For(v, 1, nv+1) {
     79         if(G[u][v] && !vis[v]) {
     80             vis[v] = 1;
     81             if(linker[v] == -1 || dfs(linker[v])) {
     82                 linker[v] = u;
     83                 return 1;
     84             }
     85         }
     86     }
     87     return 0;
     88 }
     89 
     90 int main(){
     91     // FRead();
     92     int T, k, v;
     93     Rint(T);
     94     W(T) {
     95         Cls(G);
     96         Rint(nu); Rint(nv);
     97         For(u, 1, nu+1) {
     98             Rint(k);
     99             W(k) {
    100                 Rint(v);
    101                 G[u][v] = 1;
    102             }
    103         }
    104         int ret = 0;
    105         Clr(linker, -1);
    106         For(u, 1, nu+1) {
    107             Cls(vis);
    108             if(dfs(u)) ret++;
    109         }
    110         if(ret == nu) puts("YES");
    111         else puts("NO");
    112     }
    113     RT 0;
    114 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/5803893.html
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