#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define MAX 100000
int father[210]; // 并查集
int visit[210]; // 记录最小生成树用到的边的下标
int windex; // 记录最小生成树用到边的数量
typedef struct node {
int st, ed, w;
} node;
/**
* 预处理并查集数组
*/
void preProcess()
{
int i, len = sizeof(father) / sizeof(father[0]);
for (i = 0; i < len; i ++) {
father[i] = i;
}
}
/**
* kruskal使用贪心算法,将边按权值从小到大排序
*/
int cmp(const void *p, const void *q)
{
const node *a = p;
const node *b = q;
return a->w - b->w;
}
/**
* 并查集寻找起始结点,路径压缩优化
*/
int findParent(int x)
{
int parent;
if (x == father[x]) {
return x;
}
parent = findParent(father[x]);
father[x] = parent;
return parent;
}
/**
* 求最小生成树
*/
int minTree(node *points, int m, int n)
{
preProcess();
int i, count, flag, pa, pb;
for (i = count = flag = windex = 0; i < m; i ++) {
pa = findParent(points[i].st);
pb = findParent(points[i].ed);
if (pa != pb) {
visit[windex ++] = i;
father[pa] = pb;
count ++;
}
if (count == n - 1) {
flag = 1;
break;
}
}
return flag;
}
/**
* 求次小生成树
*/
int secMinTree(node *points, int m, int n)
{
int i, j, min, tmp, pa, pb, count, flag;
for (i = 0, min = MAX; i < windex; i ++) {
preProcess();
// 求次小生成树
for (j = count = tmp = flag = 0; j < m; j ++) {
if (j != visit[i]) {
pa = findParent(points[j].st);
pb = findParent(points[j].ed);
if (pa != pb) {
count ++;
tmp += points[j].w;
father[pa] = pb;
}
if (count == n - 1) {
flag = 1;
break;
}
}
}
if (flag && tmp < min) min = tmp;
}
min = (min == MAX) ? -1 : min;
return min;
}
int main(void)
{
int i, t, n, m, flag, min;
node *points;
scanf("%d", &t);
while (t --) {
scanf("%d %d", &n, &m);
points = (node *)malloc(sizeof(node) * m);
for (i = 0; i < m; i ++) {
scanf("%d %d %d", &points[i].st, &points[i].ed, &points[i].w);
}
qsort(points, m, sizeof(points[0]), cmp);
flag = minTree(points, m, n);
if (flag == 0) { // 无法生成最小生成树
printf("-1\n");
continue;
} else {
min = secMinTree(points, m, n);
printf("%d\n", min);
}
free(points);
}
return 0;
}
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