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.io.OutputStream;
import java.util.Arrays;
import java.io.IOException;
import java.util.InputMismatchException;
import java.util.Random;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.List;
import java.io.Writer;
import java.io.BufferedReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Niyaz Nigmatullin
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastScanner in = new FastScanner(inputStream);
        FastPrinter out = new FastPrinter(outputStream);
        TaskA solver = new TaskA();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskA {
        public void solve(int testNumber, FastScanner in, FastPrinter out) {
            int n = in.nextInt();
            int[] a = in.readIntArray(n);
            int[] b = ArrayUtils.sortAndUnique(a);
            for (int i = 0; i < n; i++) {
                a[i] = Arrays.binarySearch(b, a[i]);
            }
            DisjointSetUnion dsu = new DisjointSetUnion(n);
            for (int i = 0; i < n; i++) {
                dsu.union(i, a[i]);
            }
            int count = 0;
            List<Integer>[] answer = new List[n];
            for (int i = 0; i < n; i++) {
                if (dsu.get(i) == i) {
                    ++count;
                    answer[i] = new ArrayList<>();
                }
            }
            out.println(count);
            for (int i = 0; i < n; i++) {
                answer[dsu.get(i)].add(i);
            }
            for (int i = 0; i < n; i++) {
                if (dsu.get(i) == i) {
                    out.print(answer[i].size());
                    for (int j : answer[i]) {
                        out.print(" " + (1 + j));
                    }
                    out.println();
                }
            }
        }

    }

    static class FastScanner extends BufferedReader {
        public FastScanner(InputStream is) {
            super(new InputStreamReader(is));
        }


        public int read() {
            try {
                int ret = super.read();
//            if (isEOF && ret < 0) {
//                throw new InputMismatchException();
//            }
//            isEOF = ret == -1;
                return ret;
            } catch (IOException e) {
                throw new InputMismatchException();
            }
        }

        static boolean isWhiteSpace(int c) {
            return c >= 0 && c <= 32;
        }

        public int nextInt() {
            int c = read();
            while (isWhiteSpace(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int ret = 0;
            while (c >= 0 && !isWhiteSpace(c)) {
                if (c < '0' || c > '9') {
                    throw new NumberFormatException("digit expected " + (char) c
                            + " found");
                }
                ret = ret * 10 + c - '0';
                c = read();
            }
            return ret * sgn;
        }

        public String readLine() {
            try {
                return super.readLine();
            } catch (IOException e) {
                return null;
            }
        }

        public int[] readIntArray(int n) {
            int[] ret = new int[n];
            for (int i = 0; i < n; i++) {
                ret[i] = nextInt();
            }
            return ret;
        }

    }

    static class ArrayUtils {
        static final long seed = System.nanoTime();
        static final Random rand = new Random(seed);

        static public int[] sortAndUnique(int[] a) {
            int[] ret = a.clone();
            sort(ret);
            if (ret.length == 0) {
                return ret;
            }
            int last = ret[0];
            int j = 1;
            for (int i = 1; i < ret.length; i++) {
                if (last != ret[i]) {
                    ret[j++] = ret[i];
                    last = ret[i];
                }
            }
            return Arrays.copyOf(ret, j);
        }

        public static void sort(int[] a) {
            shuffle(a);
            Arrays.sort(a);
        }

        public static void shuffle(int[] a) {
            for (int i = 0; i < a.length; i++) {
                int j = rand.nextInt(i + 1);
                int t = a[i];
                a[i] = a[j];
                a[j] = t;
            }
        }

    }

    static class DisjointSetUnion {
        int[] p;

        public DisjointSetUnion(int n) {
            p = new int[n];
            clear();
        }

        public void clear() {
            for (int i = 0; i < p.length; i++) {
                p[i] = i;
            }
        }

        public int get(int x) {
            int y = x;
            while (y != p[y]) {
                y = p[y];
            }
            while (x != p[x]) {
                int t = p[x];
                p[x] = y;
                x = t;
            }
            return y;
        }

        public boolean union(int a, int b) {
            a = get(a);
            b = get(b);
            p[a] = b;
            return a != b;
        }

    }

    static class FastPrinter extends PrintWriter {
        public FastPrinter(OutputStream out) {
            super(out);
        }

        public FastPrinter(Writer out) {
            super(out);
        }

    }
}