Ivan recently bought a detective book. The book is so interesting that each page of this book introduces some sort of a mystery, which will be explained later. The i-th page contains some mystery that will be explained on page a_i (a_i ≥ i).

Ivan wants to read the whole book. Each day, he reads the first page he didn't read earlier, and continues to read the following pages one by one, until all the mysteries he read about are explained and clear to him (Ivan stops if there does not exist any page i such that Ivan already has read it, but hasn't read page a_i). After that, he closes the book and continues to read it on the following day from the next page.

How many days will it take to read the whole book?

Input

The first line contains single integer n (1 ≤ n ≤ 10^4) — the number of pages in the book.

The second line contains n integers a_1, a_2, ..., a_n (i ≤ a_i ≤ n), where a_i is the number of page which contains the explanation of the mystery on page i.

Output

Print one integer — the number of days it will take to read the whole book.

Example

Input


9
1 3 3 6 7 6 8 8 9


Output


4

Note

Explanation of the example test:

During the first day Ivan will read only the first page. During the second day Ivan will read pages number 2 and 3. During the third day — pages 4-8. During the fourth (and the last) day Ivan will read remaining page number 9.
/*
 * To change this license header, choose License Headers in Project Properties.
 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */
//package learning;

/**
 *
 * @author hp
 */
import java.util.*;
import java.io.*;
import java.lang.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class NitsLocal {
    static ArrayList<String> s1;
    static boolean[] prime;
    static int n = (int)1e6;
     static void sieve() {
			Arrays.fill(prime	, true);
			prime[0] = prime[1] = false;
			for(int i = 2 ; i * i <= n ; ++i) {
				if(prime[i]) {
					for(int k = i * i; k< n ; k+=i) {
						prime[k] = false;
					}
				}
			}
			
		}
    public static void main(String[] args) {
        InputReader sc = new InputReader(System.in);
        
           prime  = new boolean[n + 1];
		sieve();
		prime[1] = false;
     int x = sc.ni();
     int []a = new int[x+1];
     for(int i=1;i<=x;i++)
     {
         a[i] = sc.ni();
     }
     
     int ans=0;
	int m=1;
	for(int i=1;i<x+1;i++)
        {
		m   =   Math.max(m,a[i]);
		if(i==m){
			ans++;
		}
		
	}
	w.println(ans);  
        
        
        
        
        
        
        
        w.close();
        
    }
     static boolean isprime(long 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 (long i = 5; i * i <= n; i = i + 6) 
            if (n % i == 0 || n % (i + 2) == 0) 
            return false; 
      
        return true; 
    } 
     public static int ip(String s){
		return Integer.parseInt(s);
	}
    // Java program to generate power set in 
// lexicographic order. 
static class GFG 
{ 

	// str : Stores input string 
	// n : Length of str. 
	// curr : Stores current permutation 
	// index : Index in current permutation, curr 
	static void printSubSeqRec(String str, int n, 
							int index, String curr) 
	{ 
		// base case 
		if (index == n) 
		{ 
			return; 
		} 
                s1.add(curr);
		//System.out.println(curr); 
		for (int i = index + 1; i < n; i++) 
		{ 
			curr += str.charAt(i); 
			printSubSeqRec(str, n, i, curr); 

			// backtracking 
			curr = curr.substring(0, curr.length() - 1); 
		} 
	} 

	// Generates power set in 
	// lexicographic order. 
	static void printSubSeq(String str) 
	{ 
		int index = -1; 
		String curr = ""; 

		printSubSeqRec(str, str.length(), index, curr); 
	} 

	// Driver code 
	//public static void main(String[] args) 
	
} 

// This code is contributed by PrinciRaj1992 

    
    
    
    
    
    
    
    
    
    
    
    
      static class InputReader {
 
		private final InputStream stream;
		private final byte[] buf = new byte[8192];
		private int curChar, snumChars;
 
		public InputReader(InputStream st) {
			this.stream = st;
		}
 
		public int read() {
			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 ni() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			int res = 0;
			do {
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}
 
		public long nl() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			long res = 0;
			do {
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}
 
		public int[] nia(int n) {
			int a[] = new int[n];
			for (int i = 0; i < n; i++) {
				a[i] = ni();
			}
			return a;
		}
 
		public String rs() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}
 
		public String nextLine() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isEndOfLine(c));
			return res.toString();
		}
 
		public boolean isSpaceChar(int c) {
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}
 
		private boolean isEndOfLine(int c) {
			return c == '\n' || c == '\r' || c == -1;
		}
 
	}
	

	
	
	
   
		static PrintWriter w = new PrintWriter(System.out);
}
