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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;

import java.util.*;

public class A_GENERAL {
   
	// for fast output printing  : use printwriter or stringbuilder
	// remember to close pw using pw.close()
	static PrintWriter out =new PrintWriter(new OutputStreamWriter(System.out));
	static StringBuilder sb = new StringBuilder();
	static long seive_size = (long) 1e6;
    static ArrayList<Integer> primes = new ArrayList<>();
    static boolean[] set = new boolean[(int) seive_size+1];
    static int n, m;
    static ArrayList<Integer>[] adj;
    static boolean[] visited;
    static ArrayDeque<Integer> q = new ArrayDeque<>();
    static final long MOD = 998244353;
    static ArrayList<ArrayList<Integer>> list = new ArrayList<>();
    
	public static void main(String[] args) {
		MyScanner sc = new MyScanner();
		n = sc.nextInt();
		long[][] b = new long[n+1][2];
		b[0][0] = Integer.MIN_VALUE;
		b[0][1] = 0;
		init(n);
		for(int i = 1; i <= n; i++) {
			b[i][0] = sc.nextLong();
			b[i][1] = i;
		}
		lambdaSort(b);
		for(int i = 1; i <= n; i++) {
			adj[(int)b[i][1]].add(i);
		}
		for(int i = 1; i <= n; i++) {
			if(!visited[i]) {
				ArrayList<Integer> a = new ArrayList<>();
				dfs(i, a);
				list.add(a);
			}
		}
		PrintWriter out =new PrintWriter(new OutputStreamWriter(System.out));
		out.println(list.size());
		for(int i = 0; i < list.size(); i++) {
			ArrayList<Integer> a = list.get(i);
			out.print(a.size() + " ");
			for(int j = 0; j < a.size(); j++) {
				out.print(a.get(j) + " ");
			}
			out.println();
		}
		out.close();
	}
	
	public static void dfs(int u, ArrayList<Integer> a) {
		visited[u] = true;
		a.add(u);
		for(int v : adj[u]) {
			if(!visited[v]) {
				dfs(v, a);
			}
		}
	}
	
	public static class Pair {
		long f;
		long s;
		Pair(long f, long s) {
			this.f = f;
			this.s = s;
		}
	}
	public static void init(int n) {
    	adj = new ArrayList[n+1];
    	visited = new boolean[n+1];
    	for(int i = 1; i <= n; i++)
			adj[i] = new ArrayList();
    }
	// print string "s" multiple times 
	// prefer to use this function for multiple printing
	public static String mp(String s, int times) {
		return String.valueOf(new char[times]).replace("\0", s);
	}
	// take log with base 2
 	public static long log2(long k) {
 		return 63-Long.numberOfLeadingZeros(k);
 	}

 	// using lambda function for sorting
   	public static void lambdaSort(long[][] arr) {
   		Arrays.sort(arr, (a, b) -> Double.compare(a[0], b[0]));
   	}
  	
  	// (n choose k) = (n/k) * ((n-1) choose (k-1))
  	public static long choose(long n, long k) {
 		return (k == 0) ? 1 : (n*choose(n-1, k-1))/k;
 	}

 	// just for keeping gcd function for other personal purposes
 	public static long gcd(long a, long b) {
 		return (a == 0) ? b : gcd(b%a, a);
 	}
 	
	public static long max(long... as) {
        long max = Long.MIN_VALUE;
        for (long a : as) max = Math.max(a, max);
        return max;
    }

    public static long min(int... as) {
        long min = Long.MAX_VALUE;
        for (long a : as) min = Math.min(a, min);
        return min;
    }
 	
    public static long modpow(long x, long n, long mod) {
    	if(n == 0) return 1%mod;
    	long u = modpow(x, n/2, mod);
    	u = (u*u)%mod;
    	if(n%2 == 1) u = (u*x)%mod;
    	return u;
    }
 	// ======================= binary search (lower and upper bound) =======================
	public static int lowerBound(long[] a, int x) {
		int lo = 0;
 		int hi = a.length-1;
 		int ans = -1;
 		while(lo <= hi) {
 			int mid = (lo+hi)/2;
 			if(x < a[mid]) {
 				hi = mid-1;
 			} else if(x > a[mid]) {
 				lo = mid+1;
 			} else if(lo != hi) {
 				 hi = mid-1; 		// for first occurrence
 				 ans = mid;
 			} else {
 				return mid;
 			}
 		}
 		return ans;
	}
	
	public static int upperBound(long[] a, long x) {
		int lo = 0;
		int hi = a.length-1;
		int ans = -1;
		while(lo <= hi) {
			int mid = (lo+hi)/2;
			if(x < a[mid]) {
				hi = mid-1;
			} else if(x > a[mid]) {
				lo = mid+1;
			} else if(lo != hi) {
				lo = mid+1;			// for last occurrence
				ans = mid;
			} else {
				return mid;
			}
		}
		return ans;
	}
	// ================================================================

	// ================== SEIVE OF ERATOSTHENES =======================
	// Complexity : O(N * log(log(N)))       ( almost O(N) )
	public static void generatePrimes() {
		// set.add(0);
		// set.add(1);
		Arrays.fill(set, true);
		set[0] = false;
		set[1] = false;
		for(int i = 2; i <= seive_size; i++) {
			if(set[i]) {
				for(long j = (long) i*i; j <= seive_size; j+=i) 
					set[(int)j] = false;
				primes.add(i);
			}
		}
	}
  
	public static boolean isPrime(long N) {
		if(N <= seive_size) return set[(int)N];
		for (int i = 0; i < (int)primes.size(); i++)
			if (N % primes.get(i) == 0) return false;
		return true;
	}
	// ===========================================================
  
 	// ================ Permutation of String ====================
 	public static void permute(String str) {
 		permute(str, 0, str.length()-1);
 	}
 	public static void permute(String str, int l, int r) 
    { 
        if (l == r) 
            System.out.println(str); 
        else
        { 
            for (int i = l; i <= r; i++) 
            { 
                str = swap(str,l,i); 
                permute(str, l+1, r); 
                str = swap(str,l,i); 
            } 
        } 
    }
	public static String swap(String a, int i, int j) 
    { 
        char temp; 
        char[] charArray = a.toCharArray(); 
        temp = charArray[i] ; 
        charArray[i] = charArray[j]; 
        charArray[j] = temp; 
        return String.valueOf(charArray); 
    } 
	// Union-find
	void makeSet(int parent[], int rank[]) {

		int i;
		for(i = 0; i < parent.length; i++) {
			parent[i] = i;
			rank[i] = 0;
		}
	}
	public static int find(int u, int parent[]) {

		if(parent[u] == u)	return u;

		int v = find(parent[u], parent);
		parent[u] = v;
		return v;

	}
	public static boolean connected(int u, int v, int[] parent) {
		return find(u, parent) == find(v, parent);
	}
	public static void Union(int u, int v, int rank[], int parent[]) {

		int x = find(u, parent);				//root of u
		int y = find(v, parent);				//root of v

		if(x == y)		return;
		if(rank[x] == rank[y]) {
			parent[y] = x;
			rank[x]++;
		}
		else if(rank[x] > rank[y]) {
			parent[y] = x;
		}
		else {
			parent[x] = y;
		}

	}
	public static class MyScanner {
		BufferedReader br;
		StringTokenizer st;
		public MyScanner() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		String next() {while (st == null || !st.hasMoreElements()) {
			try {st = new StringTokenizer(br.readLine());}
			catch (IOException e) {e.printStackTrace();}}
		return st.nextToken();}
		int nextInt() {return Integer.parseInt(next());}
		long nextLong() {return Long.parseLong(next());}
		double nextDouble() {return Double.parseDouble(next());}
		String nextLine(){String str = "";
		try {str = br.readLine();}
		catch (IOException e) {e.printStackTrace();}
		return str;}
		int[] nextIntArray(int n) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++)
                a[i] = nextInt();
            return a;
        }

        int[] nextIntArray(int n, int delta) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++)
                a[i] = nextInt() + delta;
            return a;
        }

        long[] nextLongArray(int n) {
            long[] a = new long[n];
            for (int i = 0; i < n; i++)
                a[i] = nextLong();
            return a;
        }
	}

}