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| 1 | +import java.util.ArrayList; |
| 2 | + |
| 3 | +/** |
| 4 | + Given two integer unsorted arrays, your task is to compare the BST formed by both the arrays. |
| 5 | +
|
| 6 | + e.g [3 2 1 0 5 4 6] & [3 5 2 6 4 1 0] |
| 7 | + when the BST is formed by taking the elements from the left, both BST turn out to be same. |
| 8 | +
|
| 9 | + 3 |
| 10 | + / \ |
| 11 | + 2 5 |
| 12 | + / \ / \ |
| 13 | + 1 0 4 6 |
| 14 | +
|
| 15 | + Expected time complexity O(n). |
| 16 | +
|
| 17 | + */ |
| 18 | +public class CompareArrayBST { |
| 19 | + public static void main(String[] args){ |
| 20 | + |
| 21 | + int[] a1 = new int[]{3,2,1,0,5,4,6}; |
| 22 | + int[] a2 = new int[]{3,5,2,6,4,1,0}; |
| 23 | + |
| 24 | + boolean same = identicalBST(a1, a2); |
| 25 | + |
| 26 | + System.out.println(same); |
| 27 | + |
| 28 | + int[] b1 = new int[]{3,2,1,0,5,4,6}; |
| 29 | + int[] b2 = new int[]{3,6,2,5,4,1,0}; |
| 30 | + |
| 31 | + boolean same1 = identicalBST(b1, b2); |
| 32 | + |
| 33 | + System.out.println(same1); |
| 34 | + } |
| 35 | + public static boolean identicalBST(int[] a, int[] b ){ |
| 36 | + if(a.length != b.length) |
| 37 | + return false; |
| 38 | + if(a.length == 0) |
| 39 | + return true; |
| 40 | + if(a.length == 1 && a[0]==b[0]) |
| 41 | + return true; |
| 42 | + if(a[0] != b[0]) |
| 43 | + return false; |
| 44 | + |
| 45 | + ArrayList<Integer> aSmaller = new ArrayList<Integer>(); |
| 46 | + ArrayList<Integer> aLarger = new ArrayList<Integer>(); |
| 47 | + ArrayList<Integer> bSmaller = new ArrayList<Integer>(); |
| 48 | + ArrayList<Integer> bLarger = new ArrayList<Integer>(); |
| 49 | + |
| 50 | + for(int i = 1; i < a.length;i++){ |
| 51 | + if(a[i] < a[0]) |
| 52 | + aSmaller.add(a[i]); |
| 53 | + else |
| 54 | + aLarger.add(a[i]); |
| 55 | + } |
| 56 | + |
| 57 | + for(int i = 1; i < b.length;i++){ |
| 58 | + if(b[i] < b[0]) |
| 59 | + bSmaller.add(b[i]); |
| 60 | + else |
| 61 | + bLarger.add(b[i]); |
| 62 | + } |
| 63 | + |
| 64 | + return ( identicalBST(convertIntArray(aSmaller), convertIntArray(bSmaller)) |
| 65 | + && identicalBST(convertIntArray(aLarger), convertIntArray(bLarger)) ) ; |
| 66 | + } |
| 67 | + |
| 68 | + public static int[] convertIntArray(ArrayList<Integer> integers) |
| 69 | + { |
| 70 | + int[] ret = new int[integers.size()]; |
| 71 | + for (int i=0; i < ret.length; i++) |
| 72 | + { |
| 73 | + ret[i] = integers.get(i).intValue(); |
| 74 | + } |
| 75 | + return ret; |
| 76 | + } |
| 77 | +} |
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