Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Write a code in C++ / cpp to solve the following problem

Sasha has an array that contains each number between 1\dots n1…n exactly once. Sasha wants to pick these numbers from 11 to nn in increasing order. On each step, she goes through the array from left to right and picks as many numbers as possible. What will be the total number of steps?

Input

The first input line has an integer n: the array size.

The second line has n integers x1​,x2​,…,xn​: the numbers in the array.

Constraints: 1 <= n <= 2*10^5

Output

Print one integer: the number of steps.

Sample 1

Input

5
4 2 1 5 3

Output

3

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