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 JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.io.FilterInputStream;
import java.io.BufferedInputStream;
import java.util.Random;
import java.util.Comparator;
import java.util.ArrayList;
import java.io.InputStream;

/**
 * @author khokharnikunj8
 */

public class Main {
    public static void main(String[] args) {
        new Thread(null, new Runnable() {
            public void run() {
                new Main().solve();
            }
        }, "1", 1 << 26).start();
    }

    void solve() {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        ScanReader in = new ScanReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        ASortingBySubsequences solver = new ASortingBySubsequences();
        solver.solve(1, in, out);
        out.close();
    }

    static class ASortingBySubsequences {
        int[][] G;
        ArrayList<Integer> res;
        boolean[] visited;

        public void dfs(int node) {
            visited[node] = true;
            res.add(node);
            for (int i : G[node]) {
                if (visited[i]) continue;
                dfs(i);
            }
        }

        public void solve(int testNumber, ScanReader in, PrintWriter out) {
            int n = in.scanInt();
            int[][] ar = new int[n][2];
            for (int i = 0; i < n; i++) {
                ar[i][0] = in.scanInt();
                ar[i][1] = i;
            }
            CodeHash.shuffle(ar);
            Arrays.sort(ar, new Comparator<int[]>() {

                public int compare(int[] o1, int[] o2) {
                    return o1[0] - o2[0];
                }
            });
            int[] from = new int[n];
            int[] to = new int[n];
            for (int i = 0; i < n; i++) {
                from[i] = ar[i][1];
                to[i] = i;
            }
            visited = new boolean[n];
            ArrayList<ArrayList<Integer>> ans = new ArrayList<>();
            G = CodeHash.packGraph(from, to, n - 1);
            for (int i = 0; i < n; i++) {
                if (visited[i]) continue;
                res = new ArrayList<>();
                dfs(i);
                ans.add(res);
            }
            out.println(ans.size());
            for (ArrayList<Integer> what : ans) {
                out.print(what.size() + " ");
                for (int i : what) out.print((i + 1) + " ");
                out.println();
            }

        }

    }

    static class CodeHash {
        public static void shuffle(int[][] ar) {
            Random rd = new Random(new Random().nextInt());
            for (int i = 0; i < ar.length; i++) {
                int index = rd.nextInt(ar.length);
                int[] temp = ar[i];
                ar[i] = ar[index];
                ar[index] = temp;
            }
        }

        public static int[][] packGraph(int[] from, int[] to, int n) {
            return packGraph(from, to, n, from.length);
        }

        public static int[][] packGraph(int[] from, int[] to, int n, int m) {
            int[][] g = new int[n + 1][];
            int p[] = new int[n + 1];
            for (int i = 0; i < m; i++) p[from[i]]++;
            for (int i = 0; i < m; i++) p[to[i]]++;
            for (int i = 0; i <= n; i++) g[i] = new int[p[i]];
            for (int i = 0; i < m; i++) {
                g[from[i]][--p[from[i]]] = to[i];
                g[to[i]][--p[to[i]]] = from[i];
            }
            return g;
        }

    }

    static class ScanReader {
        private byte[] buf = new byte[4 * 1024];
        private int index;
        private BufferedInputStream in;
        private int total;

        public ScanReader(InputStream inputStream) {
            in = new BufferedInputStream(inputStream);
        }

        private int scan() {
            if (index >= total) {
                index = 0;
                try {
                    total = in.read(buf);
                } catch (Exception e) {
                    e.printStackTrace();
                }
                if (total <= 0) return -1;
            }
            return buf[index++];
        }

        public int scanInt() {
            int integer = 0;
            int n = scan();
            while (isWhiteSpace(n)) n = scan();
            int neg = 1;
            if (n == '-') {
                neg = -1;
                n = scan();
            }
            while (!isWhiteSpace(n)) {
                if (n >= '0' && n <= '9') {
                    integer *= 10;
                    integer += n - '0';
                    n = scan();
                }
            }
            return neg * integer;
        }

        private boolean isWhiteSpace(int n) {
            if (n == ' ' || n == '\n' || n == '\r' || n == '\t' || n == -1) return true;
            else return false;
        }

    }
}