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June 27, 2018 13:04
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Segment tree for updating a random element in an array and to fetch the sum between two indices. In this program of mine , update and get sum methods do not use recursion.Even build tree can written without using recursion but that would need the use of either an explicit stack or a queue which would render the point of eliminating recursion use…
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import java.lang.Math; | |
import java.util.*; | |
class SegmentTree | |
{ | |
static int n; | |
static ArrayList<Integer> ar; | |
static int t[]; | |
static int[] map; | |
SegmentTree(int n) | |
{ | |
this.n=n; | |
ar = new ArrayList<>(n); | |
t = new int[2*n-1]; | |
map= new int[n]; | |
} | |
int generateTree(int s,int e,int i) | |
{ | |
if(s==e){ t[i]=ar.get(s); map[s] = i ; } | |
else | |
{ | |
int mid=s+(e-s)/2; | |
t[i]=generateTree(s,mid,2*i+1)+generateTree(mid+1,e,2*i+2); | |
} | |
return t[i]; | |
} | |
void updateValue(int pos,int val) | |
{ | |
int posInTree = map[pos]; | |
int parent = posInTree; | |
int dif = val - t[posInTree] ; | |
while(parent > 0) | |
{ | |
t[parent] += dif; | |
parent = (int)Math.ceil(parent/2)-1; | |
} | |
} | |
int getSum(int str, int end) | |
{ | |
int parentL = map[str]; | |
int parentR = map[end]; | |
int sumL=t[parentL]; | |
int sumR=t[parentR]; | |
while(parentL != parentR) | |
{ | |
parentL = (int)Math.ceil(parentL/2)-1; | |
parentR = (int)Math.ceil(parentR/2)-1; | |
if(parentR%2 == 0) | |
sumR = t[parentR]; | |
if(parentL%2==1) | |
sumL = t[parentL]; | |
} | |
return sumL+sumR; | |
} | |
public static void main(String args[]) | |
{ | |
SegmentTree st = new SegmentTree(10); | |
Random rn = new Random(); | |
for(int i=0;i<10;i++) | |
{ | |
ar.add(rn.nextInt(11)); | |
} | |
st.generateTree(0,n-1,0); | |
for(int i=0;i<5;i++) | |
{ | |
System.out.println("array right now : "); | |
for(int x : ar) | |
System.out.print(x+" "); | |
int pos = rn.nextInt(10); | |
int value =rn.nextInt(11); | |
st.updateValue(pos,value); | |
System.out.println("\nUpdated array : "); | |
for(int j = 0;j<n;j++) | |
System.out.print(t[map[j]] + " "); | |
System.out.println("\nEnter the start and end value for sum : \n"); | |
int str = rn.nextInt(5); | |
int end = rn.nextInt(10); | |
if(str > end) | |
continue; | |
System.out.println("\nsum :" + st.getSum(str,end)); | |
} | |
} | |
} |
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