A. Detective Book

A. Detective Book

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

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 ii-th page contains some mystery that will be explained on page aiai (ai≥iai≥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 ii such that Ivan already has read it, but hasn't read page aiai). 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 nn (1≤n≤1041≤n≤104) — the number of pages in the book.

The second line contains nn integers a1,a2,…,ana1,a2,…,an (i≤ai≤ni≤ai≤n), where aiai is the number of page which contains the explanation of the mystery on page ii.

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.

题意：lvan看一本页数为n页的书，求出他要多少天看完（如果当前的所有谜团没有解决的话，lvan就会一直看下去）。

题解：找出当前所看到的最大页数，如果最大页数正好等于当前看到的页数，那就天数就加1。

#include<iostream>
#include<cstdio>
#include<memory.h>

using namespace std;

int main()
{
    int n,x,maxx=-,ans=;
    cin>>n;
    for(int i=;i<=n;i++)
    {
        cin>>x;
        if(maxx<x)        //找出当前看到的最大页数
            maxx=x;
        if(maxx==i)        //判断最大页数是不是当前页数
            ans++;
    }
    cout<<ans<<endl;
    return ;
}