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  • [HDOJ2444]The Accomodation of Students(二分图染色判定,最大匹配,匈牙利算法)

    题目链接:http://acm.split.hdu.edu.cn/showproblem.php?pid=2444

    题意:求这个图是否是二分图,如果是则求最大匹配。

    数据就是图,kuangbin的匈牙利算法板子。

      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 typedef struct Edge {
     72     int u, v;
     73     int next;
     74 }Edge;
     75 
     76 const int maxn = 220;
     77 const int maxm = maxn*maxn;
     78 int n, m, ecnt;
     79 int color[maxn];
     80 int head[maxn];
     81 Edge edge[maxm];
     82 int q[maxm], front, tail;
     83 
     84 void init() {
     85     ecnt = 0;
     86     Clr(head, -1); Clr(color, -1);
     87 }
     88 void adde(int u, int v) {
     89     edge[ecnt].u = u;
     90     edge[ecnt].v = v;
     91     edge[ecnt].next = head[u];
     92     head[u] = ecnt++;
     93 }
     94 
     95 bool bfs(int u) {
     96     front = tail = 0;
     97     color[u] = 0;
     98     q[tail++] = u;
     99     int p = -1;
    100     while(front < tail) {
    101         int t = q[front++];
    102         for(int i = head[t]; ~i; i=edge[i].next) {
    103             int v = edge[i].v;
    104             if(v == t) continue;
    105             if(color[v] == -1) {
    106                 color[v] = 1 ^ color[t];
    107                 q[tail++] = v;
    108             }
    109             else if(color[v] == color[t]) return 0;
    110         }
    111     }
    112     return 1;
    113 }
    114 
    115 int nu,nv;//u,v的数目,使用前面必须赋值
    116 int G[maxn][maxn];//邻接矩阵
    117 int linker[maxn];
    118 bool used[maxn];
    119 
    120 bool dfs(int u) {
    121     for(int v = 0; v < nv;v++)
    122     if(G[u][v] && !used[v]) {
    123         used[v] = true;
    124         if(linker[v] == -1 || dfs(linker[v])) {
    125             linker[v] = u;
    126             return true;
    127         }
    128     }
    129     return false;
    130 }
    131 
    132 int hungary() {
    133     int ret = 0;
    134     memset(linker, -1, sizeof(linker));
    135     for(int u = 0; u < nu; u++) {
    136         memset(used, 0, sizeof(used));
    137         if(dfs(u)) ret++;
    138     }
    139     return ret;
    140 }
    141 
    142 int main() {
    143     // FRead();
    144     int u, v;
    145     while(~Rint(n) && ~Rint(m)) {
    146         init(); Cls(G);
    147         Rep(i, m) {
    148             Rint(u); Rint(v);
    149             adde(u, v); adde(v, u);
    150             G[u-1][v-1] = G[v-1][u-1] = 1;
    151         }
    152         bool exflag = 0;
    153         For(i, 1, n+1) {
    154             if(color[i] == -1) {
    155                 if(bfs(i) == 0) {
    156                     exflag = 1;
    157                     break;
    158                 }
    159             }
    160         }
    161         if(exflag) {
    162             printf("No
    ");
    163             continue;
    164         }
    165         nu = nv = n;
    166         printf("%d
    ", hungary()/2);
    167     }
    168     RT 0;
    169 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/5803738.html
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