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zq29
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contest problem #1
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Franklin/maximumProduct.java

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/*
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lc contest 38, problem 1
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Given an array of integers, return the maximum product of three elements in the array.
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Spec: Array length >=3, element in the range [-1000, 1000].
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*/
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public class Solution {
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public int maximumProduct(int[] nums) {
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int product = Integer.MIN_VALUE;
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List<Integer> pos = new ArrayList();
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List<Integer> neg = new ArrayList();
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for (int i=0; i<nums.length; i++) {
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if (nums[i]>0) {pos.add(nums[i]);}
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else {neg.add(nums[i]);}
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}
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Collections.sort(pos);
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Collections.sort(neg, Collections.reverseOrder());
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// two cases
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int result = Integer.MIN_VALUE;
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if (pos.size()==0) {
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result = neg.get(neg.size()-1)*neg.get(neg.size()-2)*neg.get(neg.size()-3);
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} else if (pos.size()==1) {
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result = pos.get(pos.size()-1) * neg.get(neg.size()-1)*neg.get(neg.size()-2);
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} else if (pos.size()==2) {
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if (neg.size()>=2)
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result = pos.get(pos.size()-1) * neg.get(neg.size()-1) * neg.get(neg.size()-2);
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else if (neg.size()==1)
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result = nums[0]*nums[1]*nums[2];
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} else if (pos.size()>=3) {
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if (neg.size()<=1) {
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result = pos.get(pos.size()-1)*pos.get(pos.size()-2)*pos.get(pos.size()-3);
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} else if (neg.size()>=2) {
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int neg_prod = neg.get(neg.size()-1)*neg.get(neg.size()-2);
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int pos_prod = pos.get(pos.size()-2)*pos.get(pos.size()-3);
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result = pos.get(pos.size()-1)*Integer.max(pos_prod,neg_prod);
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}
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}
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return result;
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}
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}

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