Created
August 8, 2017 14:28
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Generate all subsets of size k
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import java.util.ArrayList; | |
import java.util.List; | |
/* | |
Problem: Generate all subsets of size k | |
Ex. given n = 5 and k =2 generate [1, 2] [1, 3] [1, 4] [1, 5] [2, 3] [2, 4] [2, 5] [3, 4] [3, 5] [4, 5] | |
Solution: This is backtracking problem in which you pass start index + 1 to next iteration of backtrack | |
*/ | |
public class GenerateAllSubsetsOfSizeK { | |
public List<List<Integer>> combination(int n, int k) { | |
List<List<Integer>> result = new ArrayList<>(); | |
backtrack(n, k, 1, result, new ArrayList<>()); | |
return result; | |
} | |
public void backtrack(int n, int k, int startIndex, List<List<Integer>> result, | |
List<Integer> partialList) { | |
if (k == partialList.size()) { | |
result.add(new ArrayList<>(partialList)); | |
return; | |
} | |
for (int i = startIndex; i <= n; i++) { | |
partialList.add(i); | |
backtrack(n, k, i + 1, result, partialList); | |
partialList.remove(partialList.size() - 1); | |
} | |
} | |
} |
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