Problem:
Range Minimum Query (RMQ)

Write a program which manipulates a sequence A = {a0, a1, . . . , an-1} with the following operations:

find(s, t): report the minimum element in as, as+1, . . . ,at.

update(i, x): change ai to x.

Note that the initial values of ai (i = 0, 1, . . . , n−1) are 231-1.

Input

n q
com0 x0 y0
com1 x1 y1
...
comq−1 xq−1 yq−1

In the first line, n (the number of elements in A) and q (the number of queries) are given. Then, q queries are given where com represents the type of queries. '0' denotes update(xi, yi) and '1' denotes find(xi, yi).

Output

For each find operation, print the minimum element.

Constraints

1 ≤ n ≤ 100000

1 ≤ q ≤ 100000

If comi is 0, then 0 ≤ xi < n, 0 ≤ yi < 231-1.

If comi is 1, then 0 ≤ xi < n, 0 ≤ yi < n.

Sample Input 1

3 5
0 0 1
0 1 2
0 2 3
1 0 2
1 1 2

Sample Output 1

1
2

Sample Input 2

1 3
1 0 0
0 0 5
1 0 0

Sample Output 2

2147483647
5

Solution in C# (judge verdict: Time Limit Exceeded)

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

namespace AOJ2
{
    class Program
    {
        static void Main()
        {

            var nq = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
            var array = Enumerable.Repeat((int)Math.Pow(2, 31) -1, nq[0]).ToArray();
            var input = Read(nq[1]);
            foreach (var com in input)
            {
                if (com[0] == 0)
                {
                    array[com[1]] = com[2];
                }
                else
                {
                    Console.WriteLine(array.Where((x, i) => i >= com[1] && i <= com[2]).Min());
                }
            }

        }

        private static IEnumerable<int[]> Read(int loop)
        {
            for (int i = 0; i < loop; i++)
            {
                yield return Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
            }
        }
    }
}