POJ2584_T-Shirt gumbo (bipartite graph multi-Max matching/MAX Stream)

Source: Internet
Author: User

Solution report

Http://blog.csdn.net/juncoder/article/details/38239367

Question Portal

Question:

X contestants, each of which has a clothing size range and five uniforms, are allowed to make sure that each contestant has their own clothing size range.

Ideas:

Five kinds of clothes for X people, some people may have the same size of clothes, which means the multi-maximum matching of the Bipartite Graph. The size from the source to the five types of clothes is the number of clothes.

#include <queue>#include <queue>#include <cstdio>#include <cstring>#include <iostream>#include <algorithm>#define inf 99999999using namespace std;int n,mmap[30][30],m,l[30],t;int T_shirt[30];int bfs(){    queue<int >Q;    Q.push(0);    memset(l,-1,sizeof(l));    l[0]=0;    while(!Q.empty()) {        int u=Q.front();        Q.pop();        for(int i=0; i<=m; i++) {            if(l[i]==-1&&mmap[u][i]) {                l[i]=l[u]+1;                Q.push(i);            }        }    }    if(l[m]>1)return 1;    else return 0;}int dfs(int x,int f){    int a;    if(x==m)return f;    for(int i=0; i<=m; i++) {        if(mmap[x][i]&&l[i]==l[x]+1&&(a=dfs(i,min(f,mmap[x][i])))) {            mmap[x][i]-=a;            mmap[i][x]+=a;            return a;        }    }    l[x]=-1;    return 0;}int main(){    int i,j;    char str[100];    char s[10];    T_shirt['S'-'A']=1;    T_shirt['M'-'A']=2;    T_shirt['L'-'A']=3;    T_shirt['X'-'A']=4;    T_shirt['T'-'A']=5;    while(cin>>str) {        memset(mmap,0,sizeof(mmap));        if(!strcmp(str,"ENDOFINPUT"))            break;        if(!strcmp(str,"END"))            continue;        cin>>n;        m=n+5+1;        for(i=1; i<=n; i++) {            cin>>s;            int a=T_shirt[s[0]-'A'];            int b=T_shirt[s[1]-'A'];            if(a>b)                swap(a,b);            for(j=a; j<=b; j++) {                mmap[j][i+5]=1;            }            mmap[i+5][m]=1;        }        for(i=1; i<=5; i++) {            scanf("%d",&t);            mmap[0][i]=t;        }        int ans=0;        cin>>str;        while(bfs())            while(t=dfs(0,inf))                ans+=t;        if(ans==n)            cout<<"T-shirts rock!"<<endl;        else cout<<"I'd rather not wear a shirt anyway..."<<endl;        if(!strcmp(str,"END"))continue;    }    return 0;}

T-shirt gumbo
Time limit:1000 ms   Memory limit:65536 K
Total submissions:2621   Accepted:1223

Description

Boudreaux and Thibodeaux are student volunteers for this year's ACM South Central Region's programming contest. one of their duties is to distribute the contest T-shirts to arriving teams. the T-shirts had to be ordered in advance using an educated guess as to how many shirts of each size shoshould be needed. now it falls to Boudreaux and Thibodeaux to determine if they can hand out T-shirts to all the contestants in a way that makes everyone happy.

Input

Input to this problem will consist of a (non-empty) series of up to 100 data sets. each data set will be formatted according to the following description, and there will be no blank lines separating data sets.

A single data set has 4 components:
  1. Start line-a single line:
    Start x

    Where (1 <= x <= 20) is the number of contestants demanding shirts.
  2. Tolerance line-a single line containing X space-separated pairs of letters indicating the size tolerances of each contestant. valid size letters are S-small, M-medium, L-large, X-extra large, T-extra large. each letter pair will indicate the range of sizes that will satisfy a participant contestant. the pair will begin with the smallest size the contestant will accept and end with the largest. for example:
    MX

    Wocould indicate a contestant that wocould accept a medium, large, or extra large T-shirt. If a contestant is very picky, both letters in the pair may be the same.
  3. Inventory line-a single line:
    S m l x T

    Indicating the number of each size shirt in Boudreaux and Thibodeaux's inventory. These values will be between 0 and 20 aggressive.
  4. End Line-a single line:
    End

After the last data set, there will be a single line:
Endofinput

Output

For each data set, there will be exactly one line of output. This line will reflect the attitude of the contestants after the T-shirts are distributed. If all the contestants were satisfied, output:

T-shirts rock!

Otherwise, output:
I 'd rather not wear a shirt anyway...

Sample Input

START 1ST0 0 1 0 0ENDSTART 2SS TT0 0 1 0 0ENDSTART 4SM ML LX XT0 1 1 1 0ENDENDOFINPUT

Sample output

T-shirts rock!I‘d rather not wear a shirt anyway...I‘d rather not wear a shirt anyway...

Source

South Central USA 2003


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