Created
May 19, 2016 18:37
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Find an Intersection between two integer arrays
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/* | |
* Example Arr1 = {2,3,7,9,20,35} ; Arr2 = { 3,9,21,35,89,100,200}, Intersection = {3,9,35} | |
* Assumptions: | |
* Both Arrays are sorted | |
* Both Arrays contain at least one element | |
* Arr2 >> Arr1 | |
* n is Arr1.length, m is Arr2.length | |
* Possible Solutions: | |
* (1) Brute-force : run O(nm) - inefficient | |
* (2)HashSet/Map : O(n+m) runtime, O(k) additional space k = size of hashset/map | |
* (3)Merge subroutine of merge sort : O(n+m) run, O(k) additional array space | |
* Better solution(4)linear search Arr1, binary search Arr2: O(nlogm) since m >> n and logm >> logn | |
*/ | |
public class IntersectionSearch { | |
public static List<Integer> findIntersection(int [] arr1, int [] arr2){ | |
List<Integer> intersection = new ArrayList<>(); | |
for(int i = 0; i < arr1.length; i++){ | |
int item = arr1[i]; | |
if(binarySearch(arr2, item)) intersection.add(item); | |
} | |
return intersection; | |
} | |
public static boolean binarySearch(int [] arr2, int key){ | |
int begin = 0; | |
int end = arr2.length-1; | |
while(begin <= end){ | |
int mid = begin + ((end - begin)/2); | |
if(key == arr2[mid]) return true; | |
if(key > arr2[mid]) begin = mid + 1; | |
if(key < arr2[mid]) end = mid - 1; | |
} | |
return false; | |
} | |
//test harness | |
public static void main(String [] args){ | |
int [] arr1 = {2, 3,35,89,150}; | |
int [] arr2 = {3, 9, 21, 35, 89, 100,150, 200}; | |
List<Integer> inter = findIntersection(arr1, arr2); | |
for(Integer i : inter){ | |
System.out.print(i + ","); | |
} | |
} | |
} | |
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