I used backtracking for this problem. However, it may not be the best solution since the complexity is O(n!).
"Given a array of positive integers, find all possible triangle triplets that can be formed from this array.
eg: 9 8 10 7
ans: 9 8 10, 9 8 7, 9 10 7, 7 8 10
Note : array not sorted, there is no limit on the array length"
import java.util.ArrayList; import java.util.Arrays; public class PossibleTriangle { public ArrayList> possibleTriangle(int[] nums) { ArrayList > rst = new ArrayList >(); if (nums == null || nums.length == 0) return rst; ArrayList triplets = new ArrayList (); Arrays.sort(nums); getTriangle(rst, triplets, nums, 0); return rst; } private void getTriangle(ArrayList > rst, ArrayList triplets, int[] nums, int start) { if (triplets.size() == 3 && triplets.get(0) + triplets.get(1) > triplets.get(2)) rst.add(new ArrayList (triplets)); for (int i = start; i < nums.length; i++) { if (i != start && nums[i] == nums[i - 1]) continue; triplets.add(nums[i]); getTriangle(rst, triplets, nums, i + 1); triplets.remove(triplets.size() - 1); } } public void printList(ArrayList > rst) { for (int i = 0; i < rst.size(); i++) System.out.println(rst.get(i)); } } public class TriangleTester { public static void main(String[] args) { // TODO Auto-generated method stub //int[] nums = {6, 6, 6, 6, 6, 6, 6, 6}; int[] nums = {1, 2, 3, 6, 6, 7, 2, 9, 8}; PossibleTriangle pt = new PossibleTriangle(); ArrayList > rst = pt.possibleTriangle(nums); pt.printList(rst); } }
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