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 C# (judge verdict: Accepted)

using System.Text;
using System.Collections.Generic;
using System;

public class hello
{
    public static void Main()
    {
        var n = int.Parse(Console.ReadLine().Trim());
        string[] line = Console.ReadLine().Trim().Split(' ');
        var a = Array.ConvertAll(line, int.Parse);
        var q = int.Parse(Console.ReadLine().Trim());
        var sb = new StringBuilder();
        for (int i = 0; i < q; i++)
        {
            var k = int.Parse(Console.ReadLine().Trim());
            var Lb = LowerBound(a, k);
            var ub = UpperBound(a, k);
            sb.Append(string.Format("{0} {1}\n", Lb, ub));
        }
        Console.Write(sb);
    }
    public static int UpperBound<T>(T[] arr, int start, int end, T value, IComparer<T> comparer)
    {
        int low = start;
        int high = end;
        int mid;
        while (low < high)
        {
            mid = ((high - low) >> 1) + low;
            if (comparer.Compare(arr[mid], value) <= 0) low = mid + 1;
            else high = mid;
        }
        return low;
    }
    public static int UpperBound<T>(T[] arr, T value) => UpperBound(arr, 0, arr.Length, value, Comparer<T>.Default);
    static int LowerBound<T>(T[] arr, int start, int end, T value, IComparer<T> comparer)
    {
        int low = start;
        int high = end;
        int mid;
        while (low < high)
        {
            mid = ((high - low) >> 1) + low;
            if (comparer.Compare(arr[mid], value) < 0) low = mid + 1;
            else high = mid;
        }
        return low;
    }
    static int LowerBound<T>(T[] arr, T value) where T : IComparable => LowerBound(arr, 0, arr.Length, value, Comparer<T>.Default);
}