Permutation

For given a sequence $A = \{a_0, a_1, ..., a_{n-1}\}$, print the previous permutation and the next permutation in lexicographic order.

Input

A sequence is given in the following format.

$n$
$a_0 \; a_1 \; ... \; a_{n-1}$

Output

Print the previous permutation, the given sequence and the next permutation in the 1st, 2nd and 3rd lines respectively. Separate adjacency elements by a space character. Note that if there is no permutation, print nothing in the corresponding line.

Constraints

• $1 \leq n \leq 9$
• $a_i$ consist of $1, 2, ..., n$

Sample Input 1

3
2 1 3

Sample Output 1

1 3 2
2 1 3
2 3 1

Sample Input 2

3
3 2 1

Sample Output 2

3 1 2
3 2 1