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import java.util.*;
import java.util.zip.*;
import java.util.List;
import java.util.regex.*;
import java.util.concurrent.*;
import java.util.concurrent.atomic.*;
import java.util.concurrent.locks.*;
import javax.swing.*;
import javax.swing.event.*;
import javax.swing.text.*;
import javax.swing.table.*;
import java.io.*;
import java.net.*;
import java.lang.reflect.*;
import java.lang.ref.*;
import java.lang.management.*;
import java.security.*;
import java.security.spec.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.image.*;
import javax.imageio.*;
import java.math.*;
class main {
static Set joinCISets(Collection... l) {
Set set = ciSet();
for (Collection o : l)
if (o != null)
set.addAll(o);
return set;
}
static Set joinCISets(Iterable> l) {
Set set = ciSet();
if (l != null) for (Collection o : l)
if (o != null)
set.addAll(o);
return set;
}
static TreeSet ciSet() {
return caseInsensitiveSet();
}
static TreeSet caseInsensitiveSet() {
return caseInsensitiveSet_treeSet();
}
static TreeSet caseInsensitiveSet(Collection c) {
return caseInsensitiveSet_treeSet(c);
}
static TreeSet caseInsensitiveSet_treeSet() {
return new TreeSet(caseInsensitiveComparator());
}
static TreeSet caseInsensitiveSet_treeSet(Collection c) {
return toCaseInsensitiveSet_treeSet(c);
}
static Comparator caseInsensitiveComparator() {
return betterCIComparator();
}
static TreeSet toCaseInsensitiveSet_treeSet(Iterable c) {
if (isCISet(c)) return (TreeSet) c;
TreeSet set = caseInsensitiveSet_treeSet();
addAll(set, c);
return set;
}
static TreeSet toCaseInsensitiveSet_treeSet(String... x) {
TreeSet set = caseInsensitiveSet_treeSet();
addAll(set, x);
return set;
}
static betterCIComparator_C betterCIComparator_instance;
static betterCIComparator_C betterCIComparator() {
if (betterCIComparator_instance == null)
betterCIComparator_instance = new betterCIComparator_C();
return betterCIComparator_instance;
}
static class betterCIComparator_C implements Comparator {
public int compare(String s1, String s2) {
if (s1 == null) return s2 == null ? 0 : -1;
if (s2 == null) return 1;
int n1 = s1.length();
int n2 = s2.length();
int min = Math.min(n1, n2);
for (int i = 0; i < min; i++) {
char c1 = s1.charAt(i);
char c2 = s2.charAt(i);
if (c1 != c2) {
c1 = Character.toUpperCase(c1);
c2 = Character.toUpperCase(c2);
if (c1 != c2) {
c1 = Character.toLowerCase(c1);
c2 = Character.toLowerCase(c2);
if (c1 != c2) {
// No overflow because of numeric promotion
return c1 - c2;
}
}
}
}
return n1 - n2;
}
}
static boolean isCISet(Iterable l) {
return l instanceof TreeSet && ((TreeSet) l).comparator() == caseInsensitiveComparator();
}
static void addAll(Collection c, Iterable b) {
if (c != null && b != null) for (A a : b) c.add(a);
}
static boolean addAll(Collection c, Collection b) {
return c != null && b != null && c.addAll(b);
}
static boolean addAll(Collection c, B... b) {
return c != null && c.addAll(Arrays.asList(b));
}
static Map addAll(Map a, Map b) {
if (a != null) a.putAll(b);
return a;
}
}