Marriage is Stable

http://acm.hdu.edu.cn/showproblem.php?pid=1522

Problem Description

Albert, Brad, Chuck are happy bachelors who are in love with Laura, Marcy, Nancy. They all have three choices. But in fact, they do have some preference in mind. Say Albert, he likes Laura best, but that doesn't necesarily mean Laura likes him. Laura likes Chuck more than Albert. So if Albert can't marry Laura, he thinks Nancy a sensible choice. For Albert, he orders the girls Laura > Nancy > Marcy.

For the boys:

Albert: Laura > Nancy > Marcy
Brad: Marcy > Nancy > Laura
Chuck: Laura > Marcy > Nancy

For the girls:

Laura: Chuck > Albert > Brad
Marcy: Albert > Chuck > Brad
Nancy: Brad > Albert > Chuck

But if they were matched randomly, such as

Albert <-> Laura
Brad <-> Marcy
Chuck <-> Nancy

they would soon discover it's not a nice solution. For Laura, she likes Chuck instead of Albert. And what's more, Chuck likes Laura better than Nancy. So Laura and Chuck are likely to come together, leaving poor Albert and Nancy.

Now it's your turn to find a stable marriage. A stable marriage means for any boy G and girl M, with their choice m[G] and m[M], it will not happen that rank(G, M) < rank(G, m[G]）and rank(M, G) < rank(M, m[M]).

 

Input

Each case starts with an integer n (1 <= n <= 500), the number of matches to make.

The following n lines contain n + 1 names each, the first being name of the boy, and rest being the rank of the girls.

The following n lines are the same information for the girls.

Process to the end of file.

 

Output

If there is a stable marriage, print n lines with two names on each line. You can choose any one if there are multiple solution. Print "Impossible" otherwise.

Print a blank line after each test.

 

Sample Input

3Albert Laura Nancy MarcyBrad Marcy Nancy LauraChuck Laura Marcy NancyLaura Chuck Albert BradMarcy Albert Chuck BradNancy Brad Albert Chuck

 

Sample Output

Albert NancyBrad MarcyChuck Laura

http://acm.hdu.edu.cn/showproblem.php?pid=1522

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#include<stdio.h>#include<string.h>#include<iostream>#include<map>using namespace std;#define NN 600int mm[NN][NN],gg[NN][NN],p[NN];int gg_match[NN],mm_match[NN];//gg_match[i]=j;表示第i个gg喜欢第j个mm;string ss[NN*2],str;map<string,int>mp_mm,mp_gg;int main(){int i,j,k,m,n,cnt,a,b;while(scanf("%d",&n)!=EOF){mp_gg.clear();mp_mm.clear();cnt=0;for(i=1;i<=n;i++){cin>>ss[i];mp_gg[ss[i]]=i;for(j=1;j<=n;j++){cin>>str;if(mp_mm[str]==0){mp_mm[str]=++cnt;ss[n+cnt]=str;}gg[i][j]=mp_mm[str];}}for(i=1;i<=n;i++){cin>>str;a=mp_mm[str];for(j=1;j<=n;j++){cin>>str;b=mp_gg[str];mm[a][b]=j;}}int flag=1;for(i=1;i<=n;i++){p[i]=1;mm_match[i]=gg_match[i]=-1;}while(flag){flag=0;for(i=1;i<=n;i++){if(gg_match[i]==-1&&p[i]<=n){a=gg[i][p[i]++];if(mm_match[a]==-1){mm_match[a]=i;gg_match[i]=a;}else if(mm[a][i]<mm[a][mm_match[a]]){gg_match[i]=a;gg_match[mm_match[a]]=-1;mm_match[a]=i;}flag=1;}}};for(i=1;i<=n;i++){j=gg_match[i];//printf("%d\n",j);cout<<ss[i]<<" "<<ss[j+n]<<endl;}cout<<"\n";}return 0;}