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1 change: 1 addition & 0 deletions README.md
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Expand Up @@ -8,6 +8,7 @@ LeetCode

| # | Title | Solution | Difficulty |
|---| ----- | -------- | ---------- |
|350|[Intersection of Two Arrays II](https://leetcode.com/problems/intersection-of-two-arrays-ii/) | [C++](./algorithms/cpp/intersectionOfTwoArraysII/intersectionOfTwoArraysII.cpp)|Easy|
|349|[Intersection of Two Arrays](https://leetcode.com/problems/intersection-of-two-arrays/) | [C++](./algorithms/cpp/intersectionOfTwoArrays/intersectionOfTwoArrays.cpp)|Easy|
|347|[Top K Frequent Elements](https://leetcode.com/problems/top-k-frequent-elements/) | [C++](./algorithms/cpp/topKFrequentElements/topKFrequentElements.cpp)|Medium|
|345|[Reverse Vowels of a String](https://leetcode.com/problems/reverse-vowels-of-a-string/) | [C++](./algorithms/cpp/reverseVowelsOfAString/reverseVowelsOfAString.cpp)|Easy|
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// Source : https://leetcode.com/problems/intersection-of-two-arrays-ii/
// Author : Calinescu Valentin
// Date : 2016-05-22

/***************************************************************************************
*
* Given two arrays, write a function to compute their intersection.
*
* Example:
* Given nums1 = [1, 2, 2, 1], nums2 = [2, 2], return [2, 2].
*
* Note:
* Each element in the result should appear as many times as it shows in both arrays.
* The result can be in any order.
*
* Follow up:
* What if the given array is already sorted? How would you optimize your algorithm?
* What if nums1's size is small compared to num2's size? Which algorithm is better?
* What if elements of nums2 are stored on disk, and the memory is limited such that you
* cannot load all elements into the memory at once?
*
***************************************************************************************/

/* Solution
* --------
*
* Follow up:
*
* 1)If the given array is already sorted we can skip the sorting.
*
* 2)If nums1 is significantly smaller than nums2 we can only sort nums1 and then binary
* search every element of nums2 in nums1 with a total complexity of (MlogN) or if nums2
* is already sorted we can search every element of nums1 in nums2 in O(NlogM)
*
* 3)Just like 2), we can search for every element in nums2, thus having an online
* algorithm.
*/

class Solution { // O(NlogN + MlogM)
public:
vector<int> intersect(vector<int>& nums1, vector<int>& nums2) {
sort(nums1.begin(), nums1.end());//we sort both vectors in order to intersect
sort(nums2.begin(), nums2.end());//them later in O(N + M), where N = nums1.size()
vector <int> solution; //M = nums2.size()
int index = 0;
bool finished = false;
for(int i = 0; i < nums1.size() && !finished; i++)
{
while(index < nums2.size() && nums1[i] > nums2[index])//we skip over the
index++;//smaller elements in nums2
if(index == nums2.size())//we have reached the end of nums2 so we have no more
finished = true;//elements to add to the intersection
else if(nums1[i] == nums2[index])//we found a common element
{
solution.push_back(nums1[i]);
index++;
}
}
return solution;
}
};