Detective Book
题目链接http://codeforces.com/contest/1140/problem/A
time limit per test:2 seconds
memory limit per test:256 megabytes
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 ai (ai≥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 ai). 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<=104) — the number of pages in the book.
The second line contains n integers a1,a2,……an(i<=ai<=n) where ai`
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 .
题目大意:给你一本书有n章,你每一次看一章,但想要看完每一章的谜题,第i章的谜题在第a[i]章,也就是说你会一直看下去,知道你解决了目前所有的疑惑。问你这本书你多久能看完。
emmm。。。这道题目实质上就是让我们寻找当前最大值,一旦第i章=最大值,我们就ans++也就是说此时已经没有疑惑了。这个要是看出来了话那么一切就都好办了。下面是代码详情:
#include <cstdio>
int a[10050];
int main()
{
int n;
scanf ("%d",&n);
for (int i=1; i<=n; i++){
scanf ("%d",&a[i]);
}
int m=-1,ans=0;
for (int i=1; i<=n; i++){
m=(m>a[i])?m:a[i];
if (i==m) ans++;
}
printf ("%d\n",ans);
return 0;
}
.
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