C - Low Elements

Score : $300$ points

Problem Statement

Given is a permutation $P_1, \ldots, P_N$ of $1, \ldots, N$. Find the number of integers $i$ $(1 \leq i \leq N)$ that satisfy the following condition:

• For any integer $j$ $(1 \leq j \leq i)$, $P_i \leq P_j$.

Constraints

• $1 \leq N \leq 2 \times 10^5$
• $P_1, \ldots, P_N$ is a permutation of $1, \ldots, N$.
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$N$

$P_1$ $...$ $P_N$

Output

Print the number of integers $i$ that satisfy the condition.

5
4 2 5 1 3

3

$i=1$, $2$, and $4$ satisfy the condition, but $i=3$ does not - for example, $P_i > P_j$ holds for $j = 1$.
Similarly, $i=5$ does not satisfy the condition, either. Thus, there are three integers that satisfy the condition.

4
4 3 2 1

4

All integers $i$ $(1 \leq i \leq N)$ satisfy the condition.

6
1 2 3 4 5 6

1

Only $i=1$ satisfies the condition.

8
5 7 4 2 6 8 1 3

4

1
1

1