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Re:MST是否唯一,,KruskalIn Reply To:MST是否唯一,,Kruskal Posted by:lvweihua at 2017-07-25 18:17:34 > #include<cstdio>
> #include<cstring>
> #include<algorithm>
> using namespace std;
>
> const int MAXN = 101;
> const int MAXM = 10000;
> int parent[MAXN];
> bool first;
> int N, M;
> struct Edge
> {
> int u, v, w;
> int used; //第一次是否使用过
> int del; //是否被删除
> int equ; //是否有相等边的标记
> }edge[MAXM];
>
> void UFset()
> {
> memset(parent, -1, sizeof(parent));
> }
>
> int Find(int x)
> {
> int s;
> for (s = x;parent[s] >= 0;s = parent[s]);
> while (s != x)
> {
> int tmp = parent[x];
> parent[x] = s;
> x = tmp;
> }
> return s;
> }
>
> void Union(int x, int y)
> {
> int r1 = Find(x), r2 = Find(y);
> int sum = parent[r1] + parent[r2];
> if (parent[r1] < parent[r2])
> {
> parent[r1] = sum;
> parent[r2] = r1;
> }
> else
> {
> parent[r2] = sum;
> parent[r1] = r2;
> }
> }
>
> int Kruskal()
> {
> int sumWidget = 0;
> int num = 0;
> UFset();
> for (int i = 0;i < M;i++)
> {
> if (Find(edge[i].u) != Find(edge[i].v) && !edge[i].del)
> {
> Union(edge[i].u, edge[i].v);
> num++;
> sumWidget += edge[i].w;
> if (first)edge[i].used = 1;
> }
> if (num >= N - 1)
> break;
> }
> return sumWidget;
> }
>
> int main()
> {
> int t;
> scanf("%d", &t);
> while (t--)
> {
> scanf("%d%d", &N, &M);
> //输入并且初始化
> for (int i = 0;i < M;i++)
> {
> scanf("%d%d%d", &edge[i].u, &edge[i].v, &edge[i].w);
> edge[i].equ = edge[i].used = edge[i].del = 0;
> }
> for (int i = 0;i < M - 1;i++)
> {
> if (edge[i].equ == 1)continue;
> for (int j = 0;j < N;j++)
> {
> if (edge[i].w == edge[j].w)
> edge[i].equ = edge[j].equ = 1;
> }
> }
> first = true;
> int w1 = Kruskal(), w2;
> first = false;
> int i;
> for (i = 0;i < M;i++)
> {
> if (edge[i].used&&edge[i].equ)
> {
> edge[i].del = 1;
> w2 = Kruskal();
> if (w2 == w1)
> {
> printf("Not Unique!\n");
> break;
> }
> edge[i].del = 0;
> }
> }
> if (i >= M)
> printf("%d\n", w1);
> }
> return 0;
> }
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