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August 16, 2014 19:28
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Career cup 9.4
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package Chapter9; | |
import java.util.ArrayList; | |
public class AllSubsets { | |
//Iterative way | |
public static ArrayList<ArrayList<Integer>> getAllSubsets(ArrayList<Integer> set) { | |
ArrayList<ArrayList<Integer>> allSubsets = new ArrayList<ArrayList<Integer>>(); | |
allSubsets.add(new ArrayList<Integer>());//empty set | |
for(int i = 0; i < set.size(); i++) { | |
int elem = set.get(i); | |
ArrayList<ArrayList<Integer>> newSubsets = new ArrayList<>(); | |
for (ArrayList<Integer> subset : allSubsets) { | |
ArrayList<Integer> newSubset = new ArrayList<>(); | |
newSubset.addAll(subset); | |
newSubset.add(elem); | |
newSubsets.add(newSubset); | |
} | |
allSubsets.addAll(newSubsets); | |
} | |
return allSubsets; | |
} | |
//Binary presentation | |
public static ArrayList<ArrayList<Integer>> getAllSubsets2(ArrayList<Integer> set) { | |
ArrayList<ArrayList<Integer>> allSubsets = new ArrayList<>(); | |
int n = 1; | |
for(int i = 0; i < set.size(); i++) { | |
n *= 2; | |
} | |
for(int i = 0; i < n; i++) { | |
allSubsets.add(transfer(i, set)); | |
} | |
return allSubsets; | |
} | |
private static ArrayList<Integer> transfer(int k, ArrayList<Integer> set) { | |
ArrayList<Integer> subset = new ArrayList<>(); | |
int i = 0; | |
while(k > 0) { | |
boolean inSet = (k & 1) == 1; | |
if(inSet) | |
subset.add(set.get(i)); | |
i++; | |
k >>= 1; | |
} | |
return subset; | |
} | |
//helper function t print all subsets | |
public static void printSets(ArrayList<ArrayList<Integer>> sets) { | |
int i = 1; | |
for (ArrayList<Integer> set : sets) { | |
System.out.print("Set " + i + ": "); | |
for (Integer elem : set) { | |
System.out.print(elem + " "); | |
} | |
System.out.println(); | |
i++; | |
} | |
} | |
public static void main(String[] args) { | |
ArrayList<Integer> set = new ArrayList<Integer>(); | |
for(int i = 0; i < 5; i++) { | |
set.add(i); | |
} | |
printSets(getAllSubsets2(set)); | |
} | |
} |
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