/***************************************************************************
* Author: Isai Damier
* Title: Immediate Common Parent
* Project: geekviewpoint
* Package: algorithms
*
* Statement:
* Find the immediate common parent of the two given elements.
*
* Time Complexity of Solution:
* Best = const; Average = O(log(n)); Worst = O(n).
*
* Technical Details: It is assumed that either of the given elements may
* actually not be on the tree. It is further understood that node n cannot
* be the common parent of n and n.left, for example. Therefore, a second
* variable p (n's parent) is tracked to account for cases where the two
* elements being tested, a and b, have an ancestral relationship themselves.
*
**************************************************************************/
public Node immediateCommonParent(int a, int b) {
if (null == find(a) || null == find(b)) {
return null;
}
Node n = root, p = null;
int large, small;
if (a > b) {
large = a;
small = b;
} else {
large = b;
small = a;
}
while (null != n) {
if (large < n.data) {
p = n;
n = n.left;
} else if (small > n.data) {
p = n;
n = n.right;
} else {
break;
}
}
if (a == n.data || b == n.data) {
return p;
}
return n;
}
import org.junit.Test;
import static org.junit.Assert.*;
public class BSTTest {
/**
* Test of immediateCommonParent method, of class BST.
*/
@Test
public void testImmediateCommonParent() {
System.out.println(""immediateCommonParent"");
BST bst = new BST();
assertNull(bst.immediateCommonParent(35, 400));
//load data into tree
int[] treeTape = {200, 100, 300, 50, 150, 250, 350, 25, 75, 125,
175, 225, 275, 325, 375, 35, 212, 312, 400};
for (int i : treeTape) {
bst.add(i);
}
assertEquals(treeTape.length, bst.size());//has correct size
//test immediateCommonParent
assertEquals(200, bst.immediateCommonParent(35, 400).data);
assertEquals(300, bst.immediateCommonParent(312, 250).data);
assertNull(bst.immediateCommonParent(2, 275));
assertNull(bst.immediateCommonParent(2, 500));
assertNull(bst.immediateCommonParent(200, 350));
assertEquals(350, bst.immediateCommonParent(375, 375).data);
assertEquals(100, bst.immediateCommonParent(125, 150).data);
assertEquals(treeTape.length, bst.size());//has correct size
}
}