[ACM] HDU 2063 roller coaster (binary chart, Hungarian algorithm)

Roller coaster

Time limit:1000/1000 MS (java/others) Memory limit:32768/32768 K (java/others)
Total submission (s): 11509 Accepted Submission (s): 5066

Problem DESCRIPTIONRPG girls today and we go to the amusement park to play, finally can sit on the dream of the roller coaster. However, the roller coaster in each row only two seats, and there is an unwritten rule, is that every girl must find all the boys do partner and her sitting. However, each girl has their own ideas, for example, rabbit only willing and xhd or pqk do Partner,grass only willing and linle or ll do partner,princesssnow willing and water prodigal or pseudo-queer do partner. Considering the financial problems, boss Liu decided to only find partner people to ride the roller coaster, other people, hey, just stand down and watch it. Smart Acmer, can you help calculate the maximum number of pairs can be on the roller coaster?

The first line of input data is three integers k, M, N, each representing the number of possible combinations, the number of girls, and the number of males. 0<k<=1000
1<=n and m<=500. The next K-line, each line has two numbers, respectively, the female AI is willing to and boys BJ do partner. Last 0 end input.

Output for each set of data, outputs an integer that represents the maximum number of combinations that can be seated on a roller coaster.

Sample Input

6 3 31 11 21 32 12 33 10

Sample Output

3

Authorprincesssnow

SOURCERPG Practice Competition

Problem Solving Ideas:

It feels like the Hungarian algorithm is similar to the maximum flow algorithm, each time to find the augmented path, to obtain more "return".

This blog post is very interesting http://blog.csdn.net/dark_scope/article/details/8880547 it is easy to understand the Hungarian algorithm.

Code:

#include <iostream> #include <stdio.h> #include <algorithm> #include <string.h>using namespace std;const int maxn=502;int k,m,n;int g[maxn][maxn];//adjacency matrix to store edge int linked[maxn];//point to the right and which point to the left matches bool Vis[maxn];bool DFS (            int u) {for (int v=1;v<=n;v++) {if (G[u][v]&&!vis[v]) {vis[v]=1; if (!linked[v]| |                DFS (LINKED[V])//male V has not been matched or the front girls can choose other boys so that the girl u can match boys v {linked[v]=u;            return true; }}} return false;}    int Hungary () {int ans=0;    memset (linked,0,sizeof (linked));        for (int u=1;u<=m;u++) {memset (vis,0,sizeof (VIS));    if (DFS (U)) ans++; } return ans;        int main () {while (scanf ("%d", &k)!=eof&&k) {scanf ("%d%d", &m,&n);        memset (G,0,sizeof (g));        int l,r;            for (int i=1;i<=k;i++) {scanf ("%d%d", &l,&r);        G[l][r]=1; } printf ("%d\n",Hungary ()); } return 0;}

[ACM] HDU 2063 roller coaster (binary chart, Hungarian algorithm)