/* -*- coding: utf-8 -*- * * 1843.cc: No.1843 Tree ANDistance - yukicoder */ #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int BN = 30; const int MOD = 1000000007; /* typedef */ typedef long long ll; struct UFT { int links[MAX_N], ranks[MAX_N], sizes[MAX_N]; UFT() {} void init(int n) { for (int i = 0; i < n; i++) links[i] = i, ranks[i] = sizes[i] = 1; } int root(int i) { int i0 = i; while (links[i0] != i0) i0 = links[i0]; return (links[i] = i0); } int rank(int i) { return ranks[root(i)]; } int size(int i) { return sizes[root(i)]; } bool same(int i, int j) { return root(i) == root(j); } int merge(int i0, int i1) { int r0 = root(i0), r1 = root(i1), mr; if (r0 == r1) return r0; if (ranks[r0] == ranks[r1]) { links[r1] = r0; sizes[r0] += sizes[r1]; ranks[r0]++; mr = r0; } else if (ranks[r0] > ranks[r1]) { links[r1] = r0; sizes[r0] += sizes[r1]; mr = r0; } else { links[r0] = r1; sizes[r1] += sizes[r0]; mr = r1; } return mr; } }; /* global variables */ int as[MAX_N], bs[MAX_N], cs[MAX_N], ss[MAX_N]; UFT uft; /* subroutines */ /* main */ int main() { int n; scanf("%d", &n); for (int i = 0; i < n - 1; i++) { scanf("%d%d%d", as + i, bs + i, cs + i); as[i]--, bs[i]--; } int sum = 0; for (int i = 0, bi = 1; i < BN; i++, bi <<= 1) { uft.init(n); for (int j = 0; j < n - 1; j++) if (cs[j] & bi) uft.merge(as[j], bs[j]); fill(ss, ss + n, 0); for (int j = 0; j < n; j++) ss[uft.root(j)]++; for (int j = 0; j < n; j++) { int s = ((ll)ss[j] * (ss[j] - 1) / 2) % MOD; sum = (sum + (ll)s * bi % MOD) % MOD; } } printf("%d\n", sum); return 0; }