#include <bits/stdc++.h>
using namespace std;

// ----------------
#if __cplusplus >= 201700
#define INLINE_V inline
#else
#define INLINE_V
#endif

#define LOCAL
#define uint unsigned int
#define ll long long
#define ull unsigned long long
#define rep(i, f, t, ...) for (int i = f, ##__VA_ARGS__; i <= t; ++i)
#define red(i, f, t, ...) for (int i = f, ##__VA_ARGS__; i >= t; --i)
#define pb push_back
#define emb emplace_back
#define arr2 array<int, 2>
#define arr3 array<int, 3>
#define arr4 array<int, 4>
#define pii pair<int, int>
#define mkp make_pair
#define FILEIO(filename) freopen(filename ".in", "r", stdin), freopen(filename ".out", "w", stdout)
template <class T> constexpr static T inf = numeric_limits<T>::max() / 2;
// ----------------

#ifndef LUOGU
#define auto_att __attribute__((target("avx2"), optimize("O3", "Ofast", "unroll-loop", "register", "inline")))
#else
#define auto_att
#endif

namespace fastio {
#define endl '\n'
INLINE_V static constexpr size_t buf_size = 1 << 18;
INLINE_V static constexpr size_t integer_size = 20;
INLINE_V static constexpr size_t block_size = 10000;

static char inbuf[buf_size + 1] = {};
static char outbuf[buf_size + 1] = {};
static char block_str[block_size * 4 + 1] = {};

static constexpr uint64_t power10[] = {1,
                                       10,
                                       100,
                                       1000,
                                       10000,
                                       100000,
                                       1000000,
                                       10000000,
                                       100000000,
                                       1000000000,
                                       10000000000,
                                       100000000000,
                                       1000000000000,
                                       10000000000000,
                                       100000000000000,
                                       1000000000000000,
                                       10000000000000000,
                                       100000000000000000,
                                       1000000000000000000,
                                       10000000000000000000u};

struct Scanner {
#ifndef LOCAL
private:
  size_t pos, end;

  inline void load() {
    end = fread(inbuf, 1, buf_size, stdin);
    inbuf[end] = '\0';
  }
  inline void reload() {
    size_t len = end - pos;
    memmove(inbuf, inbuf + pos, len);
    end = len + fread(inbuf + len, 1, buf_size - len, stdin);
    inbuf[end] = '\0';
    pos = 0;
  }
  inline void skip_space() {
    while (inbuf[pos] <= ' ') {
      if (__builtin_expect(++pos == end, 0))
        reload();
    }
  }
  inline char get_next() { return inbuf[pos++]; }
  inline char get_next_nonspace() {
    skip_space();
    return inbuf[pos++];
  }

public:
  Scanner() { load(); }

  auto_att inline void read(char &c) { c = get_next_nonspace(); }
  auto_att inline void read(string &s) {
    skip_space();
    s = "";
    do {
      size_t start = pos;
      while (inbuf[pos] > ' ')
        ++pos;
      s += string(inbuf + start, inbuf + pos);
      if (inbuf[pos] != '\0')
        break;
      reload();
    } while (true);
  }

  template <class T> typename enable_if<is_integral<T>::value, void>::type read(T &x) {
    char c = get_next_nonspace();
    if (__builtin_expect(pos + integer_size >= end, 0))
      reload();
    bool neg = false;
    if (c == '-')
      neg = true, x = 0;
    else
      x = c & 15;
    while ((c = get_next()) >= '0')
      x = (x << 3) + (x << 1) + (c & 15);
    if (neg)
      x = -x;
  }
#else
  template <typename _Tp> inline void read(_Tp &x) {
    char ch = getchar();
    int f = 1;
    x = 0;
    for (; ch < '0' || ch > '9'; ch = getchar())
      f = ch == '-' ? -1 : 1;
    for (; ch >= '0' && ch <= '9'; ch = getchar())
      x = (x << 3) + (x << 1) + (ch ^ 48);
    x *= f;
  }
  inline void read(char &c) { c = getchar(); }
  inline void read(char *x) {
    int i = 0;
    char c = ' ';
    for (; c <= ' ';)
      c = getchar();
    for (; c > ' ';)
      x[i++] = c, c = getchar();
    x[i] = 0;
  }
  inline void read(string &x) {
    x.clear();
    char c = ' ';
    for (; c <= ' ';)
      c = getchar();
    for (; c > ' ';)
      x += c, c = getchar();
  }
#endif
  template <class Head, class... Others> void read(Head &head, Others &...others) {
    read(head);
    read(others...);
  }

  template <class T> Scanner &operator>>(T &x) {
    read(x);
    return *this;
  }

private:
  template <class T1, class T2> inline void read(pair<T1, T2> &x) { read(x.first), read(x.second); }

public:
  template <class T1, class T2> Scanner &operator>>(pair<T1, T2> &x) { read(x); }
};

struct Printer {
#ifndef LOCAL
private:
  size_t pos = 0;

  auto_att inline void flush() {
    fwrite(outbuf, 1, pos, stdout);
    pos = 0;
  }

  inline void pre_calc() {
    for (size_t i = 0; i < block_size; ++i) {
      size_t j = 4, k = i;
      while (j--) {
        block_str[i * 4 + j] = k % 10 | 48;
        k /= 10;
      }
    }
  }

  static constexpr size_t get_integer_size(uint64_t n) {
    if (n >= power10[10]) {
      if (n >= power10[19])
        return 20;
      if (n >= power10[18])
        return 19;
      if (n >= power10[17])
        return 18;
      if (n >= power10[16])
        return 17;
      if (n >= power10[15])
        return 16;
      if (n >= power10[14])
        return 15;
      if (n >= power10[13])
        return 14;
      if (n >= power10[12])
        return 13;
      if (n >= power10[11])
        return 12;
      return 11;
    } else {
      if (n >= power10[9])
        return 10;
      if (n >= power10[8])
        return 9;
      if (n >= power10[7])
        return 8;
      if (n >= power10[6])
        return 7;
      if (n >= power10[5])
        return 6;
      if (n >= power10[4])
        return 5;
      if (n >= power10[3])
        return 4;
      if (n >= power10[2])
        return 3;
      if (n >= power10[1])
        return 2;
      return 1;
    }
  }

public:
  Printer() { pre_calc(); }
  ~Printer() { flush(); }
  inline void write(char c) {
    outbuf[pos++] = c;
    if (__builtin_expect(pos == buf_size, 0))
      flush();
  }
  inline void write(const char *s) {
    while (*s != 0) {
      outbuf[pos++] = *s++;
      // if (pos == buf_size) flush();
      if (__builtin_expect(pos == buf_size, 0))
        flush();
    }
  }
  inline void write(const string &s) {
    for (auto c : s) {
      outbuf[pos++] = c;
      // if (pos == buf_size) flush();
      if (__builtin_expect(pos == buf_size, 0))
        flush();
    }
  }

  template <class T> typename enable_if<is_integral<T>::value, void>::type write(T x) {
    if (__builtin_expect(pos + integer_size >= buf_size, 0))
      flush();
    if (x < 0)
      write('-'), x = -x;
    size_t digit = get_integer_size(x);
    size_t len = digit;
    while (len >= 4) {
      len -= 4;
      memcpy(outbuf + pos + len, block_str + ((x % block_size) << 2), 4);
      x /= block_size;
    }
    memcpy(outbuf + pos, block_str + (x << 2) + (4 - len), len);
    pos += digit;
  }
#else
  inline void write(char c) { putchar(c); }
  inline void write(const char *x) {
    for (int i = 0; x[i]; ++i)
      write(x[i]);
  }
  inline void write(string s) {
    for (auto c : s)
      write(c);
  }
  template <typename _Tp> inline void write(_Tp x) {
    if (x < 0)
      putchar('-'), x = -x;
    if (x > 9)
      write(x / 10);
    putchar(x % 10 ^ 48);
  }
#endif
  template <class Head, class... Others> void write(const Head &head, const Others &...others) {
    write(head);
    write(' ');
    write(others...);
  }

  template <class... Args> void writeln(const Args &...args) {
    write(args...);
    write('\n');
  }

  template <class T> Printer &operator<<(const T &x) {
    write(x);
    return *this;
  }

private:
  template <class T1, class T2> inline void write(const pair<T1, T2> &x) { write(x.first, x.second); }

public:
  template <class T1, class T2> Printer &operator<<(const pair<T1, T2> &x) {
    write(x);
    return *this;
  }
};
Scanner fin;
Printer fout;
}; // namespace fastio
using fastio ::fin;
using fastio ::fout;

#define int ll

auto_att struct __QWQ__ {
  int n, L, R, sm;
  vector<int> a;
  auto_att inline void resize(int _n) {
    n = _n;
    a.resize(n * 2 + 5);
  }
  auto_att inline void clr() { L = n, R = n - 1, sm = 0; }
  auto_att inline void shift() { a[--L] = 0; }
  auto_att inline int query(int p) { return p + L > R ? 0 : a[p + L]; }
  auto_att inline void add(int p, int q) {
    while (R < L + p)
      a[++R] = 0;
    a[L + p] += q, sm += q;
  }
  auto_att inline int querysuf(int p) {
    if (L + p > R)
      return 0;
    int res = sm;
    rep(i, 0, p - 1) res -= a[L + i];
    return res;
  }
};
auto_att signed main() {
  int n;
  auto TcaseSlvr = [&]() {
    int ans = 0, big = 0, rt, Dmx = 0, tot = 0;
    fin >> n;
    __QWQ__ ds;
    ds.resize(n * 2 + 5);
    vector<bool> vis(n + 1, false);
    vector<vector<int>> G(n + 1), vec(n + 1);
    vector<int> fa(n + 1, 0), mx(n + 1, 0), len(n + 1, 0), sz(n + 1, 0), heavy(n + 1, 0), cnt(n + 1, 0), L(n + 1, 0), R(n + 1, 0), U(n + 1, 0),
        B(n + 1, 0);
    rep(i, 1, n - 1, u, v) fin >> u >> v, G[u].pb(v), G[v].pb(u);
    function<void(int, int)> dfs1 = [&](int u, int f) {
      for (auto v : G[u])
        if (v ^ f && !vis[v])
          dfs1(v, u), sz[u] += sz[v], mx[u] = max(mx[u], sz[v]), mx[u] = max(mx[u], big - sz[u]);
      if (mx[u] < mx[rt])
        rt = u;
    };
    function<void(int, int, int, int)> dfs2 = [&](int u, int f, int bl, int dep) {
      heavy[u] = -1;
      if (dep > len[bl])
        len[bl] = dep, vec[bl].pb(0);
      ++vec[bl][dep], sz[u] = 1, heavy[u] = 0;
      for (auto v : G[u])
        if (v ^ f && !vis[v]) {
          dfs2(v, u, bl, dep + 1), sz[u] += sz[v];
          if (heavy[u] == -1 || sz[v] > sz[heavy[u]])
            heavy[u] = v;
        }
    };
    function<void(int, int, int)> dfs3 = [&](int u, int f, int dep) {
      ds.clr();
      for (auto v : G[u])
        if (v ^ f && !vis[v] && v ^ heavy[u])
          dfs3(v, u, dep + 1);
      if (~heavy[u])
        dfs3(heavy[u], u, dep + 1), ds.shift();
      function<void(int, int, int)> ins = [&](int u_, int f_, int dep_) {
        ++cnt[dep_], Dmx = max(dep_, Dmx);
        for (auto v : G[u_])
          if (v != f_ && !vis[v])
            ins(v, u_, dep_ + 1);
      };
      for (auto v : G[u])
        if (v ^ f && !vis[v] && v ^ heavy[u]) {
          Dmx = 0, ins(v, u, 1);
          int lst = 0, suf = ds.querysuf(Dmx + 1), pre = 0;
          rep(j, 0, Dmx - dep - 1) pre += U[j];
          red(j, Dmx, 1) {
            int nw = ds.query(j);
            ans += L[max(0ll, j - dep + 1)] * (2 * lst * nw + 2 * cnt[j] * suf);
            suf += nw, ds.add(j, cnt[j]);
            if (j > dep)
              ans += pre * (2 * lst * nw + 2 * cnt[j] * suf), pre -= U[j - dep - 1];
            lst += cnt[j], cnt[j] = 0;
          }
        }
      ans += 2 * ds.sm * L[0], ds.add(0, 1);
    };
    function<void(int)> solve = [&](int u) {
      tot = 0, L[0] = 1, U[0] = 1;
      int mxd = 0;
      for (auto v : G[u])
        if (!vis[v]) {
          len[v] = 0;
          vec[v].pb(0);
          dfs2(v, u, v, 1), B[++tot] = v, mxd = max(mxd, len[v]);
          for (int d = len[v], vl = 0; ~d; --d)
            (vl += vec[v][d]), L[d] += vl, U[d] += vec[v][d], R[d] += vl * (vl - 1);
        }
      ans += (L[1] * (L[1] - 1) - R[1]);
      for (int i = 1, v; v = B[i], i <= tot; ++i) {
        red(d, len[v], 0, vl = 0) L[d] -= (vl += vec[v][d]), U[d] -= vec[v][d], R[d] -= vl * (vl - 1),
            ans += vec[v][d] * (L[d + 1] * (L[d + 1] - 1ll) - R[d + 1]);
        dfs3(v, u, 1);
        red(d, len[v], 0, vl = 0) L[d] += (vl += vec[v][d]), U[d] += vec[v][d], R[d] += vl * (vl - 1ll);
        vec[v].clear();
      }
      fill(L.begin(), L.begin() + mxd + 1, 0);
      fill(U.begin(), U.begin() + mxd + 1, 0);
      fill(R.begin(), R.begin() + mxd + 1, 0);
      vis[u] = true;
      for (auto v : G[u])
        if (!vis[v] && sz[v] > 2)
          rt = 0, big = sz[v], dfs1(v, u), solve(rt);
    };
    rt = 0;
    mx[0] = inf<int>;
    big = n;
    dfs1(1, 0);
    solve(rt);
    fout << n * (n - 1) * (n - 2) - ans << endl;
  };
  while(~scanf("%lld",&n)) TcaseSlvr();
  return 0;
}