hdu4085

#include<cstdio>
#include<cstdlib>
#include<iostream>
#include<fstream>
#include<algorithm>
#include<cstring>
#include<string>
#include<cmath>
#include<queue>
#include<stack>
#include<map>
#include<utility>
#include<set>
#include<bitset>
#include<vector>
#include<functional>
#include<deque>
#include<cctype>
#include<climits>
#include<complex>
//#include<bits/stdc++.h>适用于CF,UOJ，但不适用于poj
 
using namespace std;

typedef long long LL;
typedef double DB;
typedef pair<int,int> PII;
typedef complex<DB> CP;

#define mmst(a,v) memset(a,v,sizeof(a))
#define mmcy(a,b) memcpy(a,b,sizeof(a))
#define fill(a,l,r,v) fill(a+l,a+r+1,v)
#define re(i,a,b)  for(i=(a);i<=(b);i++)
#define red(i,a,b) for(i=(a);i>=(b);i--)
#define ire(i,x) for(typedef(x.begin()) i=x.begin();i!=x.end();i++)
#define fi first
#define se second
#define m_p(a,b) make_pair(a,b)
#define p_b(a) push_back(a)
#define SF scanf
#define PF printf
#define two(k) (1<<(k))

template<class T>inline T sqr(T x){return x*x;}
template<class T>inline void upmin(T &t,T tmp){if(t>tmp)t=tmp;}
template<class T>inline void upmax(T &t,T tmp){if(t<tmp)t=tmp;}

const DB EPS=1e-9;
inline int sgn(DB x){if(abs(x)<EPS)return 0;return(x>0)?1:-1;}
const DB Pi=acos(-1.0);

inline int gint()
  {
        int res=0;bool neg=0;char z;
        for(z=getchar();z!=EOF && z!=‘-‘ && !isdigit(z);z=getchar());
        if(z==EOF)return 0;
        if(z==‘-‘){neg=1;z=getchar();}
        for(;z!=EOF && isdigit(z);res=res*10+z-‘0‘,z=getchar());
        return (neg)?-res:res; 
    }
inline LL gll()
  {
      LL res=0;bool neg=0;char z;
        for(z=getchar();z!=EOF && z!=‘-‘ && !isdigit(z);z=getchar());
        if(z==EOF)return 0;
        if(z==‘-‘){neg=1;z=getchar();}
        for(;z!=EOF && isdigit(z);res=res*10+z-‘0‘,z=getchar());
        return (neg)?-res:res; 
    }

const int maxN=50;
const int maxM=1000;
const int maxK=5;
const int INF=0x3f3f3f3f;

int N,M,K;
int bit[2*maxK+10];
int F[maxN+10][two(2*maxK)+10];
int vis[maxN+10][two(2*maxK)+10];

int now,first[maxN+100];
struct Tedge{int v,cost,next;}edge[2*maxM+100];

inline void addedge(int u,int v,int cost)
  {
      now++;
        edge[now].v=v;
        edge[now].cost=cost;
        edge[now].next=first[u];
        first[u]=now;
    }

queue<PII>Q;
inline void SPFA()
  {
      while(!Q.empty())
        {
            int u=Q.front().fi,state=Q.front().se,i,v,cost;Q.pop();
            vis[u][state]=0;
            for(i=first[u],v=edge[i].v,cost=edge[i].cost;i!=-1;i=edge[i].next,v=edge[i].v,cost=edge[i].cost)
              if(F[v][state]>F[u][state]+cost)
                {
                    F[v][state]=F[u][state]+cost;
                    if(!vis[v][state])Q.push(PII(v,state)),vis[v][state]=1;
                }
        }
  }

#define wei(v,k) ((v>>((k)-1))&1)
inline int check(int s)
  {
      int i,res=0;
      re(i,K+1,2*K)if(wei(s,i))res++;
      re(i,1,K)if(wei(s,i))res--;
      return res==0;
  }

int DP[two(2*maxK)+10];

int main()
  {
      freopen("hdu4085.in","r",stdin);
      freopen("hdu4085.out","w",stdout);
      int i,j;
      for(int Case=gint();Case;Case--)
        {
            N=gint();M=gint();K=gint();
            mmst(first,-1);now=-1;
            re(i,1,M){int u=gint(),v=gint(),cost=gint();addedge(u,v,cost);addedge(v,u,cost);}
            mmst(F,0x3f);
            mmst(bit,0);
            re(i,1,K)bit[i]=two(i-1),F[i][bit[i]]=0;
            re(i,1,K)bit[N-K+i]=two(K+i-1),F[N-K+i][bit[N-K+i]]=0;
            int state,maxstate=two(2*K)-1;
            re(state,1,maxstate)
              {
                  re(i,1,N)
                    {
                      for(int s=(state-1)&state;s;s=(s-1)&state)
                                  upmin(F[i][state],F[i][s]+F[i][state-s]);
                                if(F[i][state]!=INF)Q.push(PII(i,state)),vis[i][state]=1;
                          }
                        SPFA();
                    }
                mmst(DP,0x3f);
                re(state,0,maxstate)re(i,1,N)upmin(DP[state],F[i][state]);
                re(i,1,maxstate)if(check(i))
                  for(j=(i-1)&i;j;j=(j-1)&i)if(check(j))
                   upmin(DP[i],DP[j]+DP[i-j]);
                if(DP[maxstate]==INF) PF("No solution\n"); else PF("%d\n",DP[maxstate]);
            }
        return 0;
    }