Numbers can be regarded as product of its factors. For example,
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2
| 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:
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2
3
4
5
| [
[2, 6],
[2, 2, 3],
[3, 4]
]
|
input: 32
output:
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8
| [
[2, 16],
[2, 2, 8],
[2, 2, 2, 4],
[2, 2, 2, 2, 2],
[2, 4, 4],
[4, 8]
]
|
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| public class Solution {
public List<List<Integer>> getFactors(int n) {
Set<List<Integer>> result = new HashSet<>();
int dist = (int) Math.sqrt(n);
for (int i = 2; i <= dist; i++) {
if (n % i == 0) {
List<List<Integer>> tmp = helper(n / i);
for (List<Integer> l : tmp) {
l.add(i);
Collections.sort(l);
result.add(l);
}
}
}
return new ArrayList<>(result);
}
public List<List<Integer>> helper(int n) {
List<List<Integer>> result = new ArrayList<>();
List<Integer> t = new ArrayList<>();
t.add(n);
result.add(t);
int dist = (int) Math.sqrt(n);
for (int i = 2; i <= dist; i++) {
if (n % i == 0) {
List<List<Integer>> tmp = helper(n / i);
for (List<Integer> l : tmp) {
l.add(i);
result.add(l);
}
}
}
return result;
}
}
|