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:
/* 
 * UMANG PANCHAL
 * DAIICT
 */

import java.util.*;
import java.io.*;
import java.math.BigInteger;
import java.util.Comparator;
public class Main
{
 
	private static final Comparator<? super Integer> Comparator = null;
	static LinkedList<Integer> adj[];
	static ArrayList<Integer> adj1[];
	static int[] color,visited1;
	static boolean b[],visited[],possible;
	static int level[];
	static Map<Integer,HashSet<Integer>> s;
	static int totalnodes,colored;
	static int count[];
	static long sum[];
	static int nodes;
	static double ans=0;
	static long[] as=new long[10001];
	static long c1=0,c2=0;
	static int[] a,d,k;
	static int max=100000000;
	static long MOD = 1000000007,sm=0,m=Long.MIN_VALUE;
	static boolean[] prime=new boolean[1000005];
	static int[] levl;
    static int[] eat;
    static int price[];
    static int res[],par[];
    static int result=0;
    static int[] root,size;
	// --------------------My Code Starts Here----------------------
	
	public static void main(String[] args) throws IOException
	{
		in=new InputReader(System.in);
		w=new PrintWriter(System.out);
		
          int n=ni();
          int[] a=na(n);
          HashMap<Integer,Integer> original=new HashMap<Integer,Integer>();
          HashMap<Integer,Integer> sorted=new HashMap<Integer,Integer>();
         for(int i=0;i<n;i++)
              original.put(i,a[i]);
      
         Arrays.sort(a);
         for(int i=0;i<n;i++)
              sorted.put(a[i],i);
         
         StringBuilder sb = new StringBuilder();
 		  int size = 0;
         for(int i=0;i<n;i++)
         {
        	 if(original.containsKey(i))
        	 {
        		 StringBuilder temp = new StringBuilder();
        		 temp.append(i+1);
        		 int k=original.remove(i);
        		 int p=sorted.remove(k);
        		 int cnt=1;
        		 while(p!=i)
        		 {
        			 temp.append(" ");
        			 temp.append((p+1));
        			  k=original.remove(p);
            		  p=sorted.remove(k);
            		  cnt++;
        		 }
        		 sb.append(cnt);
        		 sb.append(" ");
        		 sb.append(temp);
        		 sb.append("\n");
        		 size++;
        		 
        	 }
         }
         w.println(size);
         w.println(sb);
         w.close();
    }

	// --------------------My Code Ends Here------------------------
	
	  public static  long maxSubArraySum(int a[], int size)
      {
         long max_so_far = a[0];
         long curr_max = a[0];
       
         for (int i = 1; i < size; i++)
         {
              curr_max = Math.max(a[i], curr_max+a[i]);
              max_so_far = Math.max(max_so_far, curr_max);
         }
         return max_so_far;
      }
	
	public static int root(int i)
	{
		while(root[i]!=i)
		{
			root[i]=root[root[i]];
			i=root[i];
		}
		return i;
	}
	
	public static void union(int a,int b)
	{
	    int root_a=root(a);	
	    int root_b=root(b);
	    root[root_a]=root_b;
	    size[root_b]+=size[root_a];
	}
	
	public static long nCrModp(long n, long r, long p)
	{
	    
	    long[] C=new long[(int)r+1];
	    
	 
	    C[0] = 1; 
	    
	    for (long i = 1; i <= n; i++)
	    {
	        
	        for (long j = Math.min(i, r); j > 0; j--)
	 
	            
	            C[(int)j] = (C[(int)j] + C[(int)(j-1)])%p;
	    }
	    return C[(int)r];
	}
	public static long nCr(long n, long r)
	{
		long x=1;
		for(long i=n;i>=n-r+1;i--)
			x=((x)*(i));
		for(long i=r;i>=1;i--)
			x=((x)/(i));
		
		return x%MOD;
	}
	public static long nCrModpDP(long n, long r, long p)
	{
	
	    long[] C=new long[(int)r+1];
	 
	    C[0] = 1; 
	 
	 
	    for (long i = 1; i <= n; i++)
	    {
	        for (int j = (int)Math.min(i, r); j > 0; j--)
	           C[j] = (C[j] + C[j-1])%p;
	    }
	    return C[(int)r];
	}

	public static long nCrModpLucas(long n,long r, long p)
	{
	  
	   if (r==0)
	      return 1;
	 
	   long ni = n%p, ri = r%p;
	
	   return (nCrModpLucas(n/p,r/p, p) * nCrModpDP(ni,ri, p)) % p;  
	}
	
	 public static void buildgraph(int n){
         adj=new LinkedList[n+1];
         visited=new boolean[n+1];
         levl=new int[n+1];
         par=new int[n+1];
         for(int i=0;i<=n;i++){
             adj[i]=new LinkedList<Integer>();
         
         }


     }
	public static int getSum(long BITree[], int index)
	{
	    int sum = 0;
	    
	    while (index > 0)
	    {
	        sum += BITree[index];
	        index -= index & (-index);
	    }
	    return sum;
	}
	
	public static long[] updateBIT(long BITree[], int n, int index, int val)
	{
	    while (index <= n)
	    {
	       BITree[index] += val;
	       index += index & (-index);
	    }
	    return BITree;
	}
	

	
	public static boolean isPrime(int n)
	{
	    // Corner cases
	    if (n <= 1)  return false;
	    if (n <= 3)  return true;
	 
	    // This is checked so that we can skip 
	    // middle five numbers in below loop
	    if (n%2 == 0 || n%3 == 0)
	    	return false;
	 
	    for (int i=5; i*i<=n; i=i+6)
	        if (n%i == 0 || n%(i+2) == 0)
	           return false;
	 
	    return true;
	}
	

	
	public static String ns()
	{
		return in.nextLine();
	}
	public static int ni()
	{
		return in.nextInt();
	}
	public static long nl()
	{
		return in.nextLong();
	}
	public static int[] na(int n)
	{
		a=new int[n];
		for(int i=0;i<n;i++)
		a[i]=ni();
		return a;
	}
	public static void sieveOfEratosthenes()
	    {
	       int n=prime.length;
	        for(int i=0;i<n;i++)
	            prime[i] = true;
	         
	        for(int p = 2; p*p <=n; p++)
	        {
	            if(prime[p] == true)
	            {
	                for(int i = p*2; i <n; i += p)
	                    prime[i] = false;
	            }
	        }
	    }

	public static boolean printDivisors(long n)
    {
		long ans=0;
        for (int i=1; i<=Math.sqrt(n); i++)
        {
            if (n%i==0)
            {
                if (n/i == i)
                    ans++;
                else 
                {
                	ans=ans+2;
                }
            }
            if(ans>3)
            	break;
        }
        if(ans==3)
        	return true;
        else
        	return false;
    }

  public static void dfs(int i)
  {
	  visited[i]=true;
	  for(int j:adj[i])
	  {
		  if(!visited[j])
			  {
			  dfs(j);
			  nodes++;
			  }
	  }
	  
  }
  public static String rev(String s)
	{
		StringBuilder sb=new StringBuilder(s);
		sb.reverse();
		return sb.toString();
	}
	static long lcm(long a, long b)
	{
	    return a * (b / gcd(a, b));
	}
	static long gcd(long a, long b)
	{
	    while (b > 0)
	    {
	        long temp = b;
	        b = a % b; // % is remainder
	        a = temp;
	    }
	    return a;
	}
	static InputReader in;
	static PrintWriter w;
static class InputReader 
{
 
private final InputStream stream;
private final byte[] buf = new byte[8192];
private int curChar, snumChars;
private SpaceCharFilter filter;
 
public InputReader(InputStream stream)
{
  this.stream = stream;
}
 
public int snext()
{
  if (snumChars == -1)
    throw new InputMismatchException();
  if (curChar >= snumChars)
  {
    curChar = 0;
    try 
    {
      snumChars = stream.read(buf);
    }
    catch (IOException e)
    {
      throw new InputMismatchException();
    }
    if (snumChars <= 0)
      return -1;
  }
  return buf[curChar++];
}
 
public int nextInt() 
{
  int c = snext();
  while (isSpaceChar(c)) 
  {
    c = snext();
  }
  int sgn = 1;
  if (c == '-')
  {
    sgn = -1;
    c = snext();
  }
  int res = 0;
  do
  {
    if (c < '0' || c > '9')
      throw new InputMismatchException();
    res *= 10;
    res += c - '0';
    c = snext();
  }
  while (!isSpaceChar(c));
  return res * sgn;
}
 
public long nextLong() 
{
  int c = snext();
  while (isSpaceChar(c)) 
  {
    c = snext();
  }
  int sgn = 1;
  if (c == '-')
  {
    sgn = -1;
    c = snext();
  }
  long res = 0;
  do
  {
    if (c < '0' || c > '9')
      throw new InputMismatchException();
    res *= 10;
    res += c - '0';
    c = snext();
  }
  while (!isSpaceChar(c));
  return res * sgn;
}	    
public String readString() 
{
  int c = snext();
  while (isSpaceChar(c)) 
  {
    c = snext();
  }
  StringBuilder res = new StringBuilder();
  do
  {
    res.appendCodePoint(c);
    c = snext();
  }
  while (!isSpaceChar(c));
  return res.toString();
}
 
public String nextLine() 
{
  int c = snext();
  while (isSpaceChar(c))
    c = snext();
  StringBuilder res = new StringBuilder();
  do
  {
    res.appendCodePoint(c);
    c = snext();
  }
  while (!isEndOfLine(c));
  return res.toString();
}
 
public boolean isSpaceChar(int c)
{
  if (filter != null)
    return filter.isSpaceChar(c);
  return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
 
private boolean isEndOfLine(int c) 
{
  return c == '\n' || c == '\r' || c == -1;
}
 
public interface SpaceCharFilter
{
  public boolean isSpaceChar(int ch);
}
}
	
}