POJ 1789

#include <iostream>
#include <string>
#define MAXN 2005
#define inf 123456789
using namespace std;

int pre[MAXN];
int _m[MAXN][MAXN];
int low_cost[MAXN];

string str[MAXN];

int prime(int n);

int cmp(string s_1,string s_2)
{
    int i;
    int len = s_2.length();
    int ans = 0;
    for(i = 0; i < len; ++ i)
    {
        if(s_1[i] != s_2[i])
        {
            ++ ans;
        }
    }
    return ans;
}

int main()
{
    //freopen("acm.acm","r",stdin);
    int n;
    int i;
    int j;
    while(cin>>n,n)
    {
        for(i = 0; i < n; ++ i)
        {
            cin>>str[i];
        }
        for(i = 0; i < n; ++ i)
        {
            for(j = i+1; j < n; ++ j)
            {
                _m[i][j] = cmp(str[i],str[j]);
                _m[j][i] = _m[i][j];
            }
        }
        cout<<"The highest possible quality is 1/"<<prime(n)<<"."<<endl;

    }
}





int prime(int n)
{
    int i;
    int j;
    int k;
    int sum = 0;
    int min;
    for(i = 1; i < n; ++ i)
    {
        low_cost[i] = _m[0][i];
        pre[i] = 0;
    }
    for(i = 1; i < n; ++ i)
    {
        min = inf;
        for(j = 1; j < n; ++ j)
        {
            if(low_cost[j]&&low_cost[j] < min)
            {
                k = j;
                min = low_cost[j];
            }
        }
        sum += low_cost[k];
        low_cost[k] = 0;
        for(j = 1; j < n; ++ j)
        {
            if(_m[k][j] < low_cost[j] && low_cost[j])
            {
                low_cost[j] = _m[k][j];
                pre[j] = k;
            }
        }
    }
    return sum;
}

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