Amy bought her ~N~ friends each a gift, and wrapped them all. However, in her haste, she may have labelled them wrong! She labelled all of the gifts with integers ~L_i~, but she may have made a mistake and forgotten a friend, or given one friend multiple gifts. Can you help her?
~1 \le L_i \le N \le 10^6~
Subtask 1 [6/15]
~1 \le N \le 2000~
Subtask 2 [9/15]
No additional constraints.
The first line will contain ~N~, the number of friends Amy has.
The next line will contain ~N~ space-separated integers ~L_i~, the labels on the gifts.
If there are no duplicate labels and each friend from ~1~ to ~N~ received a gift, output
Sample Input 1
4 4 2 3 1
Sample Output 1
Explanation for Sample Output 1
Each friend received a gift, and no friend received more than one gift, so Amy labelled her gifts correctly.
Sample Input 2
10 1 3 2 4 5 8 6 3 7 10
Sample Output 2
Explanation for Sample Output 2
Note that friend number ~9~ did not receive a gift.