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| 1 | +package AlgoExpert_Medium; |
| 2 | + |
| 3 | +import java.util.ArrayList; |
| 4 | +import java.util.List; |
| 5 | + |
| 6 | +public class YoungestCommonAncestor { |
| 7 | + |
| 8 | + public static AncestralTree getYoungestCommonAncestor( |
| 9 | + AncestralTree topAncestor, AncestralTree descendantOne, AncestralTree descendantTwo) { |
| 10 | + |
| 11 | + AncestralTree one = descendantOne; |
| 12 | + AncestralTree two = descendantTwo; |
| 13 | + |
| 14 | + List<AncestralTree> list1 = new ArrayList<>(); |
| 15 | + |
| 16 | + while(one.ancestor != null ){ |
| 17 | + if(one.ancestor.name == two.name) { |
| 18 | + return two ; |
| 19 | + } |
| 20 | + list1.add(one.ancestor) ; |
| 21 | + one = one.ancestor; |
| 22 | + } |
| 23 | + |
| 24 | + one = descendantOne; |
| 25 | + |
| 26 | + List<AncestralTree> list2 = new ArrayList<>(); |
| 27 | + |
| 28 | + while(two.ancestor != null ){ |
| 29 | + if(two.ancestor.name == one.name) { |
| 30 | + return one ; |
| 31 | + } |
| 32 | + list2.add(two.ancestor) ; |
| 33 | + two = two.ancestor; |
| 34 | + } |
| 35 | + |
| 36 | + // Find the first common element in list 1 and list2. |
| 37 | + |
| 38 | + for(int i=0 ; i<list1.size(); i++) { |
| 39 | + |
| 40 | + for(int j=0; j<list2.size() ; j++) { |
| 41 | + if( list1.get(i) == list2.get(j) ) { |
| 42 | + return list1.get(i) ; |
| 43 | + } |
| 44 | + } |
| 45 | + |
| 46 | + } |
| 47 | + |
| 48 | + |
| 49 | + return null; |
| 50 | + } |
| 51 | + |
| 52 | + |
| 53 | + public static AncestralTree getYoungestCommonAncestorO1Space( |
| 54 | + AncestralTree topAncestor, AncestralTree descendantOne, AncestralTree descendantTwo) { |
| 55 | + |
| 56 | + int depthOne = getDescendantDepth(descendantOne, topAncestor); |
| 57 | + int depthTwo = getDescendantDepth(descendantTwo, topAncestor) ; |
| 58 | + |
| 59 | + if(depthOne > depthTwo ) { |
| 60 | + return backtrackAncestralTree(descendantOne, descendantTwo, depthOne - depthTwo) ; |
| 61 | + } else { |
| 62 | + return backtrackAncestralTree(descendantTwo, descendantOne, depthTwo - depthOne ) ; |
| 63 | + } |
| 64 | + |
| 65 | + } |
| 66 | + |
| 67 | + public static int getDescendantDepth(AncestralTree descendant, AncestralTree topAncestor) { |
| 68 | + |
| 69 | + int depth = 0; |
| 70 | + |
| 71 | + while( descendant != topAncestor ) { |
| 72 | + depth++; |
| 73 | + descendant = descendant.ancestor; |
| 74 | + } |
| 75 | + |
| 76 | + return depth ; |
| 77 | + |
| 78 | + } |
| 79 | + |
| 80 | + public static AncestralTree backtrackAncestralTree(AncestralTree lowerDescendant, AncestralTree higherDescendant, int diff) { |
| 81 | + |
| 82 | + while( diff>0 ) { |
| 83 | + lowerDescendant = lowerDescendant.ancestor ; |
| 84 | + diff-- ; |
| 85 | + } |
| 86 | + |
| 87 | + while(lowerDescendant!=higherDescendant) { |
| 88 | + lowerDescendant = lowerDescendant.ancestor; |
| 89 | + higherDescendant = higherDescendant.ancestor ; |
| 90 | + } |
| 91 | + |
| 92 | + return lowerDescendant; |
| 93 | + |
| 94 | + } |
| 95 | + |
| 96 | + |
| 97 | + static class AncestralTree { |
| 98 | + public char name; |
| 99 | + public AncestralTree ancestor; |
| 100 | + |
| 101 | + AncestralTree(char name) { |
| 102 | + this.name = name; |
| 103 | + this.ancestor = null; |
| 104 | + } |
| 105 | + |
| 106 | + // This method is for testing only. |
| 107 | + void addAsAncestor(AncestralTree[] descendants) { |
| 108 | + for (AncestralTree descendant : descendants) { |
| 109 | + descendant.ancestor = this; |
| 110 | + } |
| 111 | + } |
| 112 | + |
| 113 | + } |
| 114 | +} |
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