📄 zp1903.cpp
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#include <stdio.h>
int n,s,mx,a[20][20],d[20],p[20];
void seac(int w)
{
if (w)
{
int i,j;
for (i=0;i<n;i++)
if (d[i]%2 && p[i])
{
for (j=i+1;j<n;j++)
if (d[j]%2 && p[j])
{
p[i]=0;
p[j]=0;
s+=a[i][j];
seac(w-2);
p[i]=1;
p[j]=1;
s-=a[i][j];
}
break;
}
}
else
if (s<mx || mx==0)
mx=s;
}
int main(int argc, char* argv[])
{
// FILE *in=fopen("zp1903.in","r");
// FILE *out=fopen("output.txt","w");
int m,i,j,k,sum,x,y,c;
while (scanf("%d",&n) && n)
{
scanf("%d",&m);
for (i=0;i<n;i++)
d[i]=0;
for (i=0;i<n;i++)
for (j=0;j<n;j++)
a[i][j]=-1;
sum=0;
for (i=0;i<m;i++)
{
scanf("%d%d%d",&x,&y,&c);
if (a[x-1][y-1]==-1 || a[x-1][y-1]>c)
{
a[x-1][y-1]=c;
a[y-1][x-1]=c;
}
d[x-1]++;
d[y-1]++;
sum+=c;
}
for (i=0;i<n;i++) if (d[i]%2)
for (j=0;j<n;j++) if (i!=j && d[j]%2)
for (k=0;k<n;k++)
if (a[i][k]>-1 && a[k][j]>-1)
if (a[i][j]>a[i][k]+a[k][j] || a[i][j]==-1)
a[i][j]=a[i][k]+a[k][j];
for (i=0;i<n;i++) if (d[i]%2)
for (j=0;j<n;j++) if (i!=j && d[j]%2)
for (k=0;k<n;k++)
if (a[i][k]>-1 && a[k][j]>-1)
if (a[i][j]>a[i][k]+a[k][j] || a[i][j]==-1)
a[i][j]=a[i][k]+a[k][j];
k=0;
for (i=0;i<n;i++)
if (d[i]%2)
k++;
mx=0;
s=0;
for (i=0;i<n;i++)
p[i]=1;
seac(k);
sum+=mx;
printf("%d\n",sum);
}
return 0;
}
//---------------------------------------------------------------------------
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