|
| 1 | +/* |
| 2 | +lc contest 38, problem 1 |
| 3 | +Given an array of integers, return the maximum product of three elements in the array. |
| 4 | +Spec: Array length >=3, element in the range [-1000, 1000]. |
| 5 | +*/ |
| 6 | +public class Solution { |
| 7 | + public int maximumProduct(int[] nums) { |
| 8 | + int product = Integer.MIN_VALUE; |
| 9 | + List<Integer> pos = new ArrayList(); |
| 10 | + List<Integer> neg = new ArrayList(); |
| 11 | + for (int i=0; i<nums.length; i++) { |
| 12 | + if (nums[i]>0) {pos.add(nums[i]);} |
| 13 | + else {neg.add(nums[i]);} |
| 14 | + |
| 15 | + } |
| 16 | + Collections.sort(pos); |
| 17 | + Collections.sort(neg, Collections.reverseOrder()); |
| 18 | + |
| 19 | + // two cases |
| 20 | + int result = Integer.MIN_VALUE; |
| 21 | + |
| 22 | + if (pos.size()==0) { |
| 23 | + result = neg.get(neg.size()-1)*neg.get(neg.size()-2)*neg.get(neg.size()-3); |
| 24 | + } else if (pos.size()==1) { |
| 25 | + result = pos.get(pos.size()-1) * neg.get(neg.size()-1)*neg.get(neg.size()-2); |
| 26 | + } else if (pos.size()==2) { |
| 27 | + if (neg.size()>=2) |
| 28 | + result = pos.get(pos.size()-1) * neg.get(neg.size()-1) * neg.get(neg.size()-2); |
| 29 | + else if (neg.size()==1) |
| 30 | + result = nums[0]*nums[1]*nums[2]; |
| 31 | + } else if (pos.size()>=3) { |
| 32 | + if (neg.size()<=1) { |
| 33 | + result = pos.get(pos.size()-1)*pos.get(pos.size()-2)*pos.get(pos.size()-3); |
| 34 | + } else if (neg.size()>=2) { |
| 35 | + int neg_prod = neg.get(neg.size()-1)*neg.get(neg.size()-2); |
| 36 | + int pos_prod = pos.get(pos.size()-2)*pos.get(pos.size()-3); |
| 37 | + result = pos.get(pos.size()-1)*Integer.max(pos_prod,neg_prod); |
| 38 | + } |
| 39 | + } |
| 40 | + return result; |
| 41 | + } |
| 42 | +} |
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