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: Accepted)

#include<iostream>
#include<sstream>
#include<fstream>
#include<string>
#include<vector>
#include<deque>
#include<queue>
#include<stack>
#include<set>
#include<map>
#include<algorithm>
#include<functional>
#include<utility>
#include<bitset>
#include<cmath>
#include<cstdlib>
#include<ctime>
#include<cstdio>

using namespace std;

#define REP(i,n) for(int i=0;i<int(n);i++)
#define foreach(c,itr) for(__typeof((c).begin()) itr=(c).begin();itr!=(c).end();itr++)
typedef long long ll;
typedef pair<int,int> P;

#define T 100010
#define INF (1<<31)-1
int n,tree[4*T];

void init(int N){
  n=1;
  while(n<N) n*=2;
  REP(i,2*n-1) tree[i]=INF;
}

void update(int k, int a){
  k+=n-1;
  tree[k]=a;
  while(k>0){
    k=(k-1)/2;
    tree[k]=min(tree[2*k+1], tree[2*k+2]);
  }
}

int query(int a, int b, int k, int l, int r){
  if(r<=a || b<=l) return INF;
  if(a<=l && r<=b) return tree[k];
  else return min(query(a,b,2*k+1,l,(l+r)/2),query(a,b,2*k+2,(l+r)/2,r));
}

int main(void){
	int i;

	cin.tie(0);
	ios_base::sync_with_stdio(false);

	int q;
    cin >> n >> q;
    init(n);
    for (i=0;i<q;i++){
        int com,x,y;
        cin >> com >> x >> y;
        if(com==0){
            update(x,y);
        }else{
            cout << query(x,y+1,0,0,n) << endl;
        }
    }

	return 0;
}