Problem:
Equal Range

For a given sequence $A = \{a_0, a_1, ..., a_{n-1}\}$ which is sorted by ascending order, print a pair of the lower bound and the upper bound for a specific value $k$ given as a query.

lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.

upper bound: the place pointing to the first element greater than a specific value, or $n$ if there is no such element.

Input

The input is given in the following format.

$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$

The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.

Output

For each query, print the pari of the lower bound $l$ ($l = 0, 1, ..., n$) and upper bound $r$ ($r = 0, 1, ..., n$) separated by a space character in a line.

Constraints

$1 \leq n \leq 100,000$

$1 \leq q \leq 200,000$

$0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$

$0 \leq k_i \leq 1,000,000,000$

Sample Input 1

4
1 2 2 4
3
2
3
5

Sample Output 1

1 3
3 3
4 4

Solution in Ruby (judge verdict: Accepted)

n=gets.to_i
a=gets.split.map &:to_i
gets.to_i.times{k=gets.to_i;puts [(0...n).bsearch{|i|a[i]>=k}||n,(0...n).bsearch{|i|a[i]>k}||n]*' '}