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Stable marriage problem.cpp
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Stable marriage problem.cpp
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#include<stdio.h>
#include<iostream>
#include<stdlib.h>
#define max 500
int men[max][max],women[max][max],menMark[max];
int womencount[max],mencount[max];
int women_Prefer_men_over_men1(int w,int m,int m1,int n)
{
int i;
for(i=1;i<=n;i++)
{
if(women[w][i]==m)
return 1;
else if(women[w][i]==m1)
return 0;
}
}
void stablemarriage(int n)
{
int i,m,m1,w,freecount;
for(i=1;i<=max;i++)
{
menMark[i]=0;
womencount[i]=-1;
}
freecount=n;
while(freecount>0)
{
for(m=1;m<=n;m++)
for(i=1;i<=n&&menMark[m]==0;i++)
{
w=men[m][i];
if(womencount[w]==-1)
{
womencount[w]=m;
menMark[m]=1;
freecount--;
}
else
{
m1=womencount[w];
if(women_Prefer_men_over_men1(w,m,m1,n))
{
womencount[w]=m;
menMark[m]=1;
menMark[m1]=0;
}
}
}
}
}
int main()
{
int n,t,i,j;
printf("Enter how many men or women : ");
scanf("%d",&n);
printf("Enter women preference list:\n");
for(i=1;i<=n;i++)
{
for(j=1;j<=n;j++)
{
printf("Enter %d preference of women %d\n",j,i);
scanf("%d",&women[i][j]);
}
}
printf("\n");
printf("Enter men preference list:\n");
for(i=1;i<=n;i++)
{
for(j=1;j<=n;j++)
{
printf("Enter %d preference of men %d\n",j,i);
scanf("%d",&men[i][j]);
}
}
printf("\n");
printf("Women preference list:\n");
for(i=1;i<=n;i++)
{
printf("%d-->\t",i);
for(j=1;j<=n;j++)
{
printf("%d\t",women[i][j]);
}
printf("\n");
}
printf("\n");
printf("Men preference list:\n");
for(i=1;i<=n;i++)
{
printf("%d-->\t",i);
for(j=1;j<=n;j++)
{
printf("%d\t",men[i][j]);
}
printf("\n");
}
printf("\n");
stablemarriage(n);
for(i=1;i<=n;i++)
{
mencount[womencount[i]]=i;
}
printf("Stable Pairs are :\n");
for(i=1;i<=n;i++)
{
printf("(%d and %d)\n",i,mencount[i]);
}
printf("\n");
return 0;
}