Factor Combinations
Numbers can be regarded as product of its factors. For example,
8 = 2 x 2 x 2;
= 2 x 4.
Write a function that takes an integer n and return all possible combinations of its factors.
Note:
Each combination's factors must be sorted ascending, for example: The factors of 2 and 6 is [2, 6], not [6, 2].
You may assume that n is always positive.
Factors should be greater than 1 and less than n.
Examples:
input: 1
output:
[]
input: 37
output:
[]
input: 12
output:
[
[2, 6],
[2, 2, 3],
[3, 4]
]
input: 32
output:
[
[2, 16],
[2, 2, 8],
[2, 2, 2, 4],
[2, 2, 2, 2, 2],
[2, 4, 4],
[4, 8]
]
public List<List<Integer>> getFactors(int n) {
List<List<Integer>> res = new ArrayList();
if(n <= 1) return res;
Set<List<Integer>> set = new HashSet();
Helper(set, new ArrayList(), n);
res.addAll(set);
return res;
}
private void Helper(Set<List<Integer>> res, List<Integer> comb, int n){
if(n == 1){
res.add(comb);
}else{
int sqrt = (int)Math.sqrt(n);
for(int i = 2; i <= sqrt ; i++){
if(n % i == 0){
List <Integer> tmp = new ArrayList(comb);
tmp.add(i);
Helper(res, tmp, n / i);
tmp.add(n / i);
Collections.sort(tmp);
res.add(tmp);
}
}
}
}