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 JAVA (judge verdict: Accepted)

import java.io.InputStream;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;
import java.util.NoSuchElementException;
import java.math.BigInteger;
 
public class Main{
 
static PrintWriter out;
static InputReader ir;
 
static void solve(){
 int nn=ir.nextInt();
 seg_init(nn);
 q=ir.nextInt();
 while(q-->0){
  int com=ir.nextInt();
  int x=ir.nextInt();
  int y=ir.nextInt();
  if(com==0){
   update(x,y);
  }
  else{
   out.println(query(x,y+1));
  }
 }
}
 
static int n, q;
static long seg[];
 
public static void seg_init(int nn) {
 n=1;
 while (n<nn) n<<=1;
 seg=new long[n * 2 - 1];
 Arrays.fill(seg,Integer.MAX_VALUE);
}

public static long query(int a,int b){return _query(a,b,0,0,n);}

public static long _query(int a,int b,int k,int l,int r) {
 if (a <= l && r <= b) return seg[k];
 if (r <= a || b <= l) return Long.MAX_VALUE;
 long cl=_query(a, b, k*2+ 1, l, (l + r)/2);
 long cr =_query(a, b, k*2 + 2, (l + r)/2, r);
 return Math.min(cl,cr);
}
 
public static void update(int i,long val) {
 i+=n-1;
 seg[i]=val;
 while(i>0) {
  i=(i-1)/2;
  seg[i]=Math.min(seg[i*2+1],seg[i*2+2]);
 }
}
 
public static void main(String[] args) throws Exception{
 ir=new InputReader(System.in);
 out=new PrintWriter(System.out);
 new Main().solve();
 out.flush();
}
 
static class InputReader {
 private InputStream in;
 private byte[] buffer=new byte[1024];
 private int curbuf;
 private int lenbuf;
 
 public InputReader(InputStream in) {this.in=in; this.curbuf=this.lenbuf=0;}
  
 public boolean hasNextByte() {
  if(curbuf>=lenbuf){
   curbuf= 0;
   try{
    lenbuf=in.read(buffer);
   }catch(IOException e) {
    throw new InputMismatchException();
   }
   if(lenbuf<=0) return false;
  }
  return true;
 }
 
 private int readByte(){if(hasNextByte()) return buffer[curbuf++]; else return -1;}
  
 private boolean isSpaceChar(int c){return !(c>=33&&c<=126);}
  
 private void skip(){while(hasNextByte()&&isSpaceChar(buffer[curbuf])) curbuf++;}
  
 public boolean hasNext(){skip(); return hasNextByte();}
  
 public String next(){
  if(!hasNext()) throw new NoSuchElementException();
  StringBuilder sb=new StringBuilder();
  int b=readByte();
  while(!isSpaceChar(b)){
   sb.appendCodePoint(b);
   b=readByte();
  }
  return sb.toString();
 }
  
 public int nextInt() {
  if(!hasNext()) throw new NoSuchElementException();
  int c=readByte();
  while (isSpaceChar(c)) c=readByte();
  boolean minus=false;
  if (c=='-') {
   minus=true;
   c=readByte();
  }
  int res=0;
  do{
   if(c<'0'||c>'9') throw new InputMismatchException();
   res=res*10+c-'0';
   c=readByte();
  }while(!isSpaceChar(c));
  return (minus)?-res:res;
 }
  
 public long nextLong() {
  if(!hasNext()) throw new NoSuchElementException();
  int c=readByte();
  while (isSpaceChar(c)) c=readByte();
  boolean minus=false;
  if (c=='-') {
   minus=true;
   c=readByte();
  }
  long res = 0;
  do{
   if(c<'0'||c>'9') throw new InputMismatchException();
   res=res*10+c-'0';
   c=readByte();
  }while(!isSpaceChar(c));
  return (minus)?-res:res;
 }
 
 public double nextDouble(){return Double.parseDouble(next());}
 
 public BigInteger nextBigInteger(){return new BigInteger(next());}
 
 public int[] nextIntArray(int n){
  int[] a=new int[n];
  for(int i=0;i<n;i++) a[i]=nextInt();
  return a;
 }
 
 public long[] nextLongArray(int n){
  long[] a=new long[n];
  for(int i=0;i<n;i++) a[i]=nextLong();
  return a;
 }
 
 public char[][] nextCharMap(int n,int m){
  char[][] map=new char[n][m];
  for(int i=0;i<n;i++) map[i]=next().toCharArray();
  return map;
 }
}
}