In: Computer Science
How could I implement the contain and min method for a tree in this code.
import java.util.List;
import edu.princeton.cs.algs4.*;
class ProgrammingAssignment1 {
    //////////////////// EXERCICE 1: TWO THREE TREES
    static public <Key extends Comparable<Key>>
    int size (NakedTree<Key> tree) {
      if (tree == null)
        return 0;
      int val = tree.getNKeys ();
      for (int i = 0; i <= tree.getNKeys (); ++i)
        val += size (tree.getChild (i));
      return val;
    }
    //////// EXERCICE 1.1: contains AND min
    static public <Key extends Comparable<Key>>
    boolean contains (NakedTree<Key> tree, Key key) {
       
    }
        public static <Key extends Comparable<Key>> Key min(NakedTree<Key> tree) {
                if(tree == null) {
                        return null;
                }
                Key min = null;
                for(int i=0; i<tree.getNKeys(); i++) {
                        if(min == null || min.compareTo(tree.getKey(i)) > 0) {
                                min = tree.getKey(i);
                        }
                }
                
                for (int i = 0; i <= tree.getNKeys(); ++i) {
                        Key m = min(tree.getChild(i));
                        if(m != null && min.compareTo(m) > 0) {
                                min = m;
                        }
                }
                return min;
        }
        static public <Key extends Comparable<Key>> boolean contains(NakedTree<Key> tree, Key key) {
                if(tree == null) {
                        return false;
                }
                for(int i=0; i<tree.getNKeys(); i++) {
                        if(key.compareTo(tree.getKey(i)) == 0) {
                                return true;
                        }
                }
                for (int i = 0; i <= tree.getNKeys(); ++i) {
                        if(contains(tree.getChild(i), key)) {
                                return true;
                        }
                }
                return false;           
        }
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