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//http://www.codechef.com/problems/CVOTE
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
public class Main{
Scanner in;
String INPUT = "";
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
public class Main{
Scanner in;
String INPUT = "";
void solve() {
int n = ni();//row
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
public class Main{
Scanner in;
String INPUT = "";
void solve() {
int t = ni();
//time out solution using memoization
import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class Solution {
public static BigInteger minusOne = BigInteger.valueOf(-1);
public static BigInteger factorial(BigInteger n,BigInteger[] h){
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
import java.util.Collections;
import java.io.*;
import java.math.BigInteger;
public class Main{
public static void main(String[] args) throws IOException
{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
//http://www.codechef.com/problems/JOHNY
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
public class Main{
Scanner in;
String INPUT = "";
void solve() {
//codechef COOLING http://www.codechef.com/problems/COOLING
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
public class Main{
Scanner in;
String INPUT = "";
void solve() {
TLE:http://www.codechef.com/problems/OJUMPS
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
import java.util.Collections;
import java.io.*;
import java.math.BigInteger;
public class Main{
public static void main(String[] args) throws IOException
//http://www.codechef.com/problems/HORSES/
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
import java.util.Collections;
import java.io.*;
import java.math.BigInteger;
public class Main{
public static void main(String[] args) throws IOException
//http://www.codechef.com/JAN15/problems/CHEFSTON
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
import java.util.*;
import java.util.Collections;
import java.io.*;
import java.math.BigInteger;
public class Main{
public static void main(String[] args) throws IOException