The Unique MST POJ - 1679
const int LEN = 100000;//有多少条边
const int LEN2 = 110;//有多少个点
int N,M;
struct Node
{
int x;
int y;
int weight;
};
Node node[LEN];
bool operator <(const Node &a,const Node &b)
{
return a.weight < b.weight;
}
bool cmp(const Node &a,const Node &b)
{
return a.weight < b.weight;
}
int sign1[LEN];
int Max_edge[LEN2][LEN2];//最小生成树从i到j最权值最大边的权值
int Matrix[LEN2][LEN2];
bool sign[LEN2][LEN2];
int F[LEN2];
int vis[LEN2];
void Init(void)
{
me(sign1);
for(int i = 0; i <= N; ++i)
F[i] = i;
me(sign);
me(vis);
}
int Find(int x)
{
return x == F[x]?x:F[x] = Find(F[x]);
}
void Dfs(int x)
{
for(int i =1; i <= N; ++i)
{
if(sign[x][i]&&!vis[i])
{
Max_edge[x][i] = Max_edge[i][x] = Matrix[x][i];
for(int j = 1; j <= N; ++j)
{
if(vis[j]&&j!=x)
{
Max_edge[i][j] = Max_edge[j][i] = max(Max_edge[j][x],Max_edge[x][i]);
}
}
vis[i] = 1;
Dfs(i);
}
}
}
int main()
{
int T;
cin>>T;
while(T--)
{
cin>>N>>M;
if(M>0)
{
Init();
for(int i = 0; i < M; ++i)
{
scanf("%d %d %d",&node[i].x,&node[i].y,&node[i].weight);
Matrix[node[i].x][node[i].y] = Matrix[node[i].y][node[i].x] = node[i].weight;
}
sort(node,node+M);
int All_cost = 0;
for(int i = 0; i < M; ++i)
{
int x = Find(node[i].x);
int y = Find(node[i].y);
if(x!=y)
{
sign[node[i].x][node[i].y] = sign[node[i].y][node[i].x] = 1;
F[x] = y;
sign1[i] = 1;
All_cost += node[i].weight;
}
}
vis[1] = 1;
Dfs(1);
int flag = 0;
for(int i = 0; i < M; ++i)
{
if(!sign1[i]&&node[i].x!=node[i].y)
{
if(Max_edge[node[i].x][node[i].y] >= node[i].weight)
{
flag = 1;
break;
}
}
}
if(flag)
printf("Not Unique!\n");
else
printf("%d\n",All_cost);
}
else
cout<<0<<endl;
}
return 0;
}