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101 changes: 101 additions & 0 deletions data-structures/SegmentTree.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,101 @@
import java.util.*;
import java.lang.*;
import java.io.*;
class SegmentTree
{
int st[];
Segment(int []arr, int n)
{
int x = (int) Math.ceil((Math.log(n)/Math.log(2)));
int max_size = 2 *(int) (Math.pow(2,x) - 1);
st = new int[max_size];

constSegmentUtil(arr,0,n-1,0);
}

int constSegmentUtil(int []arr, int ss,int se,int si)
{
if(ss == se)
{
st[si] = arr[ss];
return arr[ss];
}
int mid = getMid(ss,se);
st[si] = max(constSegmentUtil(arr,ss,mid,2*si+1),constSegmentUtil(arr,mid+1,se,2*si+2));
return st[si];
}

int getMid(int s,int e)
{
return s + (e - s)/2;
}

int max(int a,int b)
{
if(a > b)
{
return a;
}
else{
return b;
}
}

void print(){
for (int i=0;i<st.length;i++ )
{
System.out.print(st[i]);
}
}

int getMaxUtil(int ss,int se,int qs,int qe,int si)
{
if(qs<=ss && qe>=se)
{
return st[si];
}

if(se<qs || ss>qe)
{
return 0;
}

int mid = getMid(ss,se);

return max(getMaxUtil(ss,mid,qs,qe,2*si+1),getMaxUtil(mid+1,se,qs,qe,2*si+2));
}


int getMax(int n,int qs,int qe){

if(qs > qe || qs < 0 || qe > n-1){
return -1;
}

return getMaxUtil(0,n-1,qs,qe,0);
}

public static void main (String[] args) throws java.lang.Exception
{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int t = Integer.parseInt(br.readLine());//for testcase
String []temp = br.readLine().split(" ");//taking array as string
int []arr = new int[t];
for(int i=0;i<t;i++) //to convert array of string to array of integers
{
arr[i] = Integer.parseInt(temp[i]);
}
Segment tree = new Segment(arr,arr.length);
//tree.print();
int q = Integer.parseInt(br.readLine()); // no of queries
while (q--!=0)
{
String []temp1 = br.readLine().split(" ");
int s = Integer.parseInt(temp1[0]); //q1
int e = Integer.parseInt(temp1[1]); //q2

System.out.println(tree.getMax(arr.length,s-1,e-1)); // maximum in range [q1,q2]
//System.out.println(getMax(arr,n,s,e));
}
}
}