The following recursive solution is based on Philipp Meister's answer to similar question about building of the Cartesian product:
static List<List<Integer>> merge(List<List<List<Integer>>> lists) {
List<List<Integer>> resultLists = new ArrayList<>();
if (lists.size() == 0) {
resultLists.add(new ArrayList<>());
} else {
List<List<Integer>> firstList = lists.get(0);
List<List<Integer>> remainingLists = merge(lists.subList(1, lists.size()));
for (List<Integer> first : firstList) {
for (List<Integer> remaining : remainingLists) {
List<Integer> resultList = new ArrayList<>();
resultList.addAll(first);
resultList.addAll(remaining);
resultLists.add(resultList);
}
}
}
return resultLists;
}
Main difference is in the return type and adding all elements of the first
list to the nested list according to the requirements.
Test setup
private static void testCombinations(Map<String, List<List<Integer>>> map) {
System.out.println("input map: " + map);
List<List<Integer>> list = merge(new ArrayList<>(map.values()));
list.forEach(System.out::println);
}
// --------
Map<String, List<List<Integer>>> map1 = new LinkedHashMap<>();
map1.put("SFO", Arrays.asList(Arrays.asList(1)));
map1.put("SEA", Arrays.asList(Arrays.asList(2), Arrays.asList(3), Arrays.asList(4)));
map1.put("PHX", Arrays.asList(Arrays.asList(5), Arrays.asList(6)));
testCombinations(map1);
Map<String, List<List<Integer>>> map2 = new LinkedHashMap<>();
map2.put("FRA", Arrays.asList(Arrays.asList(1, 2), Arrays.asList(3, 4)));
map2.put("MEL", Arrays.asList(Arrays.asList(5, 6)));
testCombinations(map2);
Output:
input map: {SFO=[[1]], SEA=[[2], [3], [4]], PHX=[[5], [6]]}
[1, 2, 5]
[1, 2, 6]
[1, 3, 5]
[1, 3, 6]
[1, 4, 5]
[1, 4, 6]
input map: {FRA=[[1, 2], [3, 4]], MEL=[[5, 6]]}
[1, 2, 5, 6]
[3, 4, 5, 6]
The solution may be implemented using streams and recursive flatMap
chain (on the basis of Marco13's answer):
static <T extends List> Stream<List<T>> ofCombinations(List<? extends Collection<T>> mapValues, List<T> current) {
return mapValues.isEmpty() ? Stream.of(current) :
mapValues.get(0).stream().flatMap(list -> {
List<T> combination = new ArrayList<T>(current);
combination.addAll(list);
return ofCombinations(mapValues.subList(1, mapValues.size()), combination);
});
}
private static void testStreamCombinations(Map<String, List<List<Integer>>> map) {
System.out.println("input map: " + map);
ofCombinations(new ArrayList<>(map.values()), Collections.emptyList())
.forEach(System.out::println);
}
// invoking test method
testStreamCombinations(map1);
testStreamCombinations(map2);
Test output: same as above.