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PowerSet_Recursive.java
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54 lines (48 loc) · 1.33 KB
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//Time Complexity O(2^n * n)
//Space Complexity O(2^n * n)
import java.util.*;
class A
{
public static void main(String[] args)
{
ArrayList<Integer> al = new ArrayList<Integer>();
al.add(1);
al.add(2);
al.add(3);
ArrayList<ArrayList<Integer>> powerSet = generatePowerSet(al);
for(ArrayList<Integer> subsets : powerSet)
{
System.out.print("[");
for(Integer elements : subsets)
{
System.out.print(elements+",");
}
System.out.print("]");
System.out.println();
}
}
public static ArrayList<ArrayList<Integer>> generatePowerSet(ArrayList<Integer> al)
{
return generatePowerSetHelper( al , al.size()-1);
}
public static ArrayList<ArrayList<Integer>> generatePowerSetHelper(ArrayList<Integer> al,int idx)
{
if(idx < 0)
{
//return null set empty set
ArrayList<ArrayList<Integer>> emptySet = new ArrayList<ArrayList<Integer>>();
emptySet.add(new ArrayList<Integer>());
return emptySet;
}
int num = al.get(idx);
ArrayList<ArrayList<Integer>> powerSet = generatePowerSetHelper(al,idx-1);
int size = powerSet.size();
for(int i = 0 ; i < size ; i++)
{
ArrayList<Integer> prev = new ArrayList<Integer>(powerSet.get(i));
prev.add(num);
powerSet.add(prev);
}
return powerSet;
}
}