📄 1833.cpp
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/* This Code is Submitted by wywcgs for Problem 1833 on 2006-03-01 at 13:13:20 */
#include <cstdio>
#include <algorithm>
using namespace std;
const int MAX = 2560;
const int MAX_LEN = 8;
const int INFINITE = 60000;
char code[MAX][MAX_LEN];
int dis(int, int);
int Prim(int);
int main()
{
int n, i;
while(scanf("%d\n", &n) != EOF && n != 0) {
for(i = 0; i < n; i++) gets(code[i]);
printf("The highest possible quality is 1/%d.\n", Prim(n));
}
return 0;
}
int dis(int n, int m)
{
int i, p = 0;
for(i = 0; i < MAX_LEN; i++)
if(code[n][i] != code[m][i]) p++;
return p;
}
int Prim(int n)
{
bool inTree[MAX] = { false };
int i, j, d[MAX], total = 0;
d[0] = 0; inTree[0] = true;
for(i = 1; i < n; i++) d[i] = dis(0, i);
for(i = 1; i < n; i++) {
int mind = INFINITE, mini;
for(j = 0; j < n; j++) {
if(!inTree[j] && d[j] < mind) {
mind = d[j]; mini = j;
}
}
inTree[mini] = true; total += d[mini];
for(j = 0; j < n; j++)
if(!inTree[j]) d[j] = min(d[j], dis(mini, j));
}
return total;
}
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