Problem: You are given a sequence a1, a2, ..., an consisting of different integers. It is required to split this sequence into the maximum number of subsequences such that after sorting integers in each of them in increasing order, the total sequence also will be sorted in increasing order.

Sorting integers in a subsequence is a process such that the numbers included in a subsequence are ordered in increasing order, and the numbers which are not included in a subsequence don't change their places.

Every element of the sequence must appear in exactly one subsequence.

Input

The first line of input data contains integer n (1 ≤ n ≤ 105) — the length of the sequence.

The second line of input data contains n different integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109) — the elements of the sequence. It is guaranteed that all elements of the sequence are distinct.

Output

In the first line print the maximum number of subsequences k, which the original sequence can be split into while fulfilling the requirements.

In the next k lines print the description of subsequences in the following format: the number of elements in subsequence ci (0 < ci ≤ n), then ci integers l1, l2, ..., lci (1 ≤ lj ≤ n) — indices of these elements in the original sequence. 

Indices could be printed in any order. Every index from 1 to n must appear in output exactly once.

If there are several possible answers, print any of them.

Examples

Input

6
3 2 1 6 5 4


Output

4
2 1 3
1 2
2 4 6
1 5


Input

6
83 -75 -49 11 37 62


Output

1
6 1 2 3 4 5 6

Note

In the first sample output:

After sorting the first subsequence we will get sequence 1 2 3 6 5 4.

Sorting the second subsequence changes nothing.

After sorting the third subsequence we will get sequence 1 2 3 4 5 6.

Sorting the last subsequence changes nothing.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
string to_string(string s) { return '"' + s + '"'; }
string to_string(char c) { return '\'' + string(1, c) + '\''; }
string to_string(const char *s) { return to_string((string)s); }
string to_string(bool b) { return (b ? "true" : "false"); }
template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}
string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (unsigned i = 0; i < v.size(); i++) {
    if (!first) res += ", ";
    first = false;
    res += to_string(bool(v[i]));
  }
  res += "}";
  return res;
}
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}
const int dx[] = {0, 0, 1, -1}, dy[] = {1, -1, 0, 0};
string to_str(const int &n) {
  ostringstream stm;
  stm << n;
  return stm.str();
}
string to_str(const long long &n) {
  ostringstream stm;
  stm << n;
  return stm.str();
}
template <class T>
string tostring(T x, int len = 0) {
  stringstream ss;
  ss << x;
  string r = ss.str();
  if (int((r).size()) < len) r = string(len - int((r).size()), '0') + r;
  return r;
}
template <class T>
void convert(string x, T &r) {
  stringstream ss(x);
  ss >> r;
}
long long powmod(long long a, long long b) {
  long long res = 1;
  a %= 1000000007;
  for (; b; b >>= 1) {
    if (b & 1) res = res * a % 1000000007;
    a = a * a % 1000000007;
  }
  return res;
}
long long modinv(long long a) { return powmod(a, 1000000007 - 2); }
long long modinv(long long a, long long m) { return powmod(a, m - 2); }
long long nCkMp(long long n, long long k) {
  long long numerator = 1, denominator = 1;
  for (int i = 0; i < k; i++) numerator = (numerator * (n - i)) % 1000000007;
  for (int i = 1; i <= k; i++) denominator = (denominator * i) % 1000000007;
  return (numerator * modinv(denominator)) % 1000000007;
}
long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); }
long long lcm(long long a, long long b) { return a * (b / gcd(a, b)); }
int TT = 1, tt;
clock_t t1;
class UnionFind {
 private:
  vector<int> parent, size;
  int count;

 public:
  UnionFind(int n) {
    count = n;
    parent.resize(n);
    size.resize(n, 1);
    for (auto i = (0); i < (n); i++) parent[i] = i;
  }
  int f(int p) {
    int root = p;
    while (root != parent[root]) root = parent[root];
    while (p != root) {
      int newp = parent[p];
      parent[p] = root;
      p = newp;
    }
    return root;
  }
  bool connected(int p, int q) { return f(p) == f(q); }
  void u(int p, int q) {
    int rootP = f(p);
    int rootQ = f(q);
    if (rootP == rootQ) return;
    if (size[rootP] < size[rootQ]) {
      parent[rootP] = rootQ;
      size[rootQ] += size[rootP];
    } else {
      parent[rootQ] = rootP;
      size[rootP] += size[rootQ];
    }
    count--;
  }
  int get_count() { return count; }
  vector<int> get_parent() { return parent; }
};
void solve() {
  t1 = clock();
  int n;
  (cin >> (n));
  vector<pair<int, int> > x(n);
  for (auto i = (0); i < (n); i++) (cin >> (x[i].first)), x[i].second = i;
  sort((x).begin(), (x).end());
  UnionFind uf(n);
  for (auto i = (0); i < (n); i++) uf.u(i, x[i].second);
  vector<vector<int> > groups(n);
  for (auto i = (0); i < (n); i++) groups[uf.f(i)].push_back(i);
  404;
  (cout << (uf.get_count()) << endl);
  for (auto i = (0); i < (int((groups).size())); i++)
    if (int((groups[i]).size())) {
      cout << int((groups[i]).size()) << " ";
      for (auto j = (0); j < (int((groups[i]).size())); j++)
        cout << 1 + groups[i][j] << " ";
      cout << endl;
    }
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  cout << fixed << setprecision(15);
  for (tt = 0; tt < TT; tt++) solve();
  return EXIT_SUCCESS;
}