#include <bits/stdc++.h>
#define
using namespace std;
struct node {
int a, b, w;
friend bool operator < (const node a, const node b) {
return a.w < b.w;
}
}e[A];
int T, n, m, siz[A], fa[A];
int find(int x) {return fa[x] == x ? x : fa[x] = find(fa[x]);}
int main(int argc, char const *argv[]) {
cin >> T;
while (T--) {
scanf("%d", &n); int ans = 0;
for (int i = 1; i <= n; i++) fa[i] = i, siz[i] = 1;
for (int i = 1; i < n; i++) scanf("%d%d%d", &e[i].a, &e[i].b, &e[i].w);
sort(e + 1, e + n);
for (int i = 1; i < n; i++) {
int fx = find(e[i].a), fy = find(e[i].b);
if (fx == fy) continue;
ans += abs(siz[fx] * siz[fy] - 1) * (e[i].w + 1);
fa[fy] = fx; siz[fx] += siz[fy];
}
cout << ans << endl;
}
return 0;
}