Problem:
Score : 400 points

Problem Statement

We have N bricks arranged in a row from left to right.

The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it.

Among them, you can break at most N-1 bricks of your choice.

Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it.

Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print -1 instead.

Constraints

All values in input are integers.

1 \leq N \leq 200000

1 \leq a_i \leq N

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 ... a_N

Output

Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print -1 if his desire is unsatisfiable.

Sample Input 1

3
2 1 2

Sample Output 1

1

If we break the leftmost brick, the remaining bricks have integers 1 and 2 written on them from left to right, in which case Snuke will be satisfied.

Sample Input 2

3
2 2 2

Sample Output 2

-1

In this case, there is no way to break some of the bricks to satisfy Snuke's desire.

Sample Input 3

10
3 1 4 1 5 9 2 6 5 3

Sample Output 3

7

Sample Input 4

1
1

Sample Output 4

0

There may be no need to break the bricks at all.

Solution in PyPy3 (2.4.0) (judge verdict: Wrong Answer)

import sys
n = int(input())
a = [int(x) for x in input().split()]

place = []
isfail = False
if 1 not in a:
    print("-1")
    sys.exit()
if n == 1 and a[0] == 1:
    place.append(1)
elif n == 1 and a[0] != 1:
    print("-1")
    sys.exit()

for x in range(1, n):
    try:
        if x in a:
            place.append(a.index(x))
            a = a[a.index(x):]
        else:
            break
    except:
        isfail = True
        break

if isfail:
    print("-1")
else:
    print(n - len(place))