Consider the set of all nonnegative integers: {0, 1, 2, ...}. Given two integers a and b (1 ≤ a, b ≤ 10^4). We paint all the numbers in increasing number first we paint 0, then we paint 1, then 2 and so on.

Each number is painted white or black. We paint a number i according to the following rules: 

  * if i = 0, it is colored white; 
  * if i ≥ a and i - a is colored white, i is also colored white; 
  * if i ≥ b and i - b is colored white, i is also colored white; 
  * if i is still not colored white, it is colored black. 



In this way, each nonnegative integer gets one of two colors.

For example, if a=3, b=5, then the colors of the numbers (in the order from 0) are: white (0), black (1), black (2), white (3), black (4), white (5), white (6), black (7), white (8), white (9), ...

Note that: 

  * It is possible that there are infinitely many nonnegative integers colored black. For example, if a = 10 and b = 10, then only 0, 10, 20, 30 and any other nonnegative integers that end in 0 when written in base 10 are white. The other integers are colored black. 
  * It is also possible that there are only finitely many nonnegative integers colored black. For example, when a = 1 and b = 10, then there is no nonnegative integer colored black at all. 



Your task is to determine whether or not the number of nonnegative integers colored black is infinite.

If there are infinitely many nonnegative integers colored black, simply print a line containing "Infinite" (without the quotes). Otherwise, print "Finite" (without the quotes).

Input

The first line of input contains a single integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then t lines follow, each line contains two space-separated integers a and b (1 ≤ a, b ≤ 10^4).

Output

For each test case, print one line containing either "Infinite" or "Finite" (without the quotes). Output is case-insensitive (i.e. "infinite", "inFiNite" or "finiTE" are all valid answers).

Example

Input


4
10 10
1 10
6 9
7 3


Output


Infinite
Finite
Infinite
Finite
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.io.Writer;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.*;
import java.io.*;
import java.math.*;
public class Main7{

static class Pair
    { 
        int x;
        int y;
        public Pair(int x,int y) 
        {     
            this.x= x; 
            this.y= y;
        }     
        
    @Override
            public int hashCode() 
            { 
                final int temp = 14; 
                int ans = 1; 
                ans =x*31+y*13; 
                return ans; 
            } 
      
            // Equal objects must produce the same 
            // hash code as long as they are equal 
        @Override
        public boolean equals(Object o) 
        { 
            if (this == o) { 
                return true; 
            } 
            if (o == null) { 
                return false; 
            } 
            if (this.getClass() != o.getClass()) { 
                return false; 
            } 
            Pair other = (Pair)o; 
            if (this.x != other.x || this.y!=other.y) { 
                return false; 
            } 
            return true; 
        } 
            
    } 
    static class Pair1
    {
        String x;
        int y;
        int z;
        
    }
    static class Compare
    { 
        static void compare(Pair arr[], int n) 
        { 
            // Comparator to sort the pair according to second element 
        /*    Arrays.sort(arr, new Comparator<Pair>() { 
                @Override public int compare(Pair p1, Pair p2) 
                { 
                    if(p1.start>p2.start)
                    {
                        return 1;
                    }
                    else if(p1.start==p2.start)
                    {
                        return 0;
                    }
                    else
                    {
                        return -1;
                    }
                } 
            }); */
        }
        
    }
    
    
    public static long pow(long a, long b)
    {
        long result=1;
        while(b>0)
        {
            if (b % 2 != 0)
            {
                result=(result*a);
                b--;
            } 
            a=(a*a);
            b /= 2;
        }   
        return result;
    }
    public static long fact(long num)
    {
                long value=1;
                int i=0;
                for(i=2;i<num;i++)
                {
                    value=((value%mod)*i%mod)%mod;
                }
                return value;
            }
            public static long gcd(long a, long b)
            {
                if (a == 0)
                    return b;
                return gcd(b%a, a);
            }
            
    /*        public static long lcm(long a,long b)
            {
                return a * (b / gcd(a, b));
            }
        */    public static long sum(int h)
            {
                return (h*(h+1)/2);
            }
        /*   public static void dfs(int parent,boolean[] visited,int[] dp)
            {
                ArrayList<Integer> arr=new ArrayList<Integer>();
                arr=graph.get(parent);
                visited[parent]=true;
                for(int i=0;i<arr.size();i++)
                {
                    int num=(int)arr.get(i);
                    if(visited[num]==false)
                    {
                        dfs(num,visited,dp);
                    }
                    dp[parent]=Math.max(dp[num]+1,dp[parent]);
                }
            }
        //    static int flag1=0;
            static int[] dis;*/
            static int mod=1000000007;
            static ArrayList<ArrayList<Integer>> graph;
            static ArrayList<ArrayList<Integer>> g;
            
       /*    public static void bfs(int num,int size)
            {
                boolean[] visited=new boolean[size+1];
                Queue<Integer> q=new LinkedList<>();
                q.add(num);
                ans[num]=1;
                visited[num]=true;
                while(!q.isEmpty())
                {
                    int x=q.poll();
                    ArrayList<Integer> al=graph.get(x);
                    for(int i=0;i<al.size();i++)
                    {
                        int y=al.get(i);    
                        if(visited[y]==false)
                        {
                            q.add(y);
                            ans[y]=ans[x]+1;
                            visited[y]=true;
                        }
                    }
                }
            }
            static int[] ans;*/
            
            
            
            
            
            
            
            
            
        //    static int[] a;              
            public static int[] sort(int[] a)
            {
                int n=a.length;
                ArrayList<Integer> ar=new ArrayList<>();
                for(int i=0;i<a.length;i++)
                {
                    ar.add(a[i]);
                }
                Collections.sort(ar);
                for(int i=0;i<n;i++)
                {
                    a[i]=ar.get(i);
                }
                return a;
            }
			static class pqcomparator implements Comparator<Pair>
			{
				public int compare(Pair p1 ,Pair p2)
				{
					if(p1.y>p2.y)
					{
						return -1;
					}
					else
						return 1;
				}
			}
			public static void dfs(int parent,boolean[] visited)
            {
                ArrayList<Integer> arr=new ArrayList<Integer>();
                arr=graph.get(parent);
                visited[parent]=true;
				for(int i=0;i<arr.size();i++)
                {
					int num=(int)arr.get(i);
                    if(visited[num]==false)
                    {
						dfs(num,visited);
                    }
            	 }
            }
			static int count=0;
			public static long[] bfs(int num,int size,long[] a)
            {
				int n=size;
                boolean[] visited=new boolean[size];
                Queue<Integer> q=new LinkedList<>();
				long[] b=new long[n];
				for(int i=0;i<n;i++)
				{
					if(graph.get(i).size()==1 && i!=0)
						b[i]=a[i];
				}
                q.add(num);
				visited[num]=true;
                while(!q.isEmpty())
                {
                    int x=q.poll();
                    ArrayList<Integer> al=graph.get(x);
					for(int i=0;i<al.size();i++)
                    {
                        int y=al.get(i);    
                        if(visited[y]==false)
                        {
							b[y]+=a[x];
							q.add(y);
                            visited[y]=true;
                        }
                    }
                }
				return b;
            }
			static public void main(String args[])throws IOException
            {
				int t=i();
				StringBuilder sb=new StringBuilder();
				while(t-->0)
				{
					int a=i();
					int b=i();
					if(a==1 || b==1)
					{
						sb.append("finite");
					}
					else if(gcd(a,b)==1)
					{
						sb.append("finite");
					}
					else
						sb.append("infinite");
					sb.append("\n");
				}
				System.out.print(sb.toString());
			}
            /**/
            static InputReader in=new InputReader(System.in);
                static OutputWriter out=new OutputWriter(System.out);
                public static long l()
                {
                    String s=in.String();
                    return Long.parseLong(s);
                }
                public static void pln(String value)
                {
                    System.out.println(value);
                }
                public static int i()
                {
                    return in.Int();
                }
                public static String s()
                {
                    return in.String();
                }
    }
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
        class InputReader {
             
            private InputStream stream;
            private byte[] buf = new byte[1024];
            private int curChar;
            private int numChars;
            private SpaceCharFilter filter;
         
            public InputReader(InputStream stream) {
                this.stream = stream;
            }
         
            public int read() {
                if (numChars== -1)
                    throw new InputMismatchException();
                if (curChar >= numChars) {
                    curChar = 0;
                    try {
                        numChars = stream.read(buf);
                    } catch (IOException e) {
                        throw new InputMismatchException();
                    }
                    if (numChars <= 0)
                        return -1;
                }
                return buf[curChar++];
            }
         
            public int Int() {
                int c = read();
                while (isSpaceChar(c))
                    c = read();
                int sgn = 1;
                if (c == '-') {
                    sgn = -1;
                    c = read();
                }
                int res = 0;
                do {
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    res *= 10;
                    res += c - '0';
                    c = read();
                } while (!isSpaceChar(c));
                return res * sgn;
            }
         
            public String String() {
                int c = read();
                while (isSpaceChar(c))
                    c = read();
                StringBuilder res = new StringBuilder();
                do {
                    res.appendCodePoint(c);
                    c = read();
                } while (!isSpaceChar(c));
                return res.toString();
            }
         
            public boolean isSpaceChar(int c) {
                if (filter != null)
                    return filter.isSpaceChar(c);
                return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
            }
         
            public String next() {
                return String();
            }
         
            public interface SpaceCharFilter {
                public boolean isSpaceChar(int ch);
            }
        }
         
        class OutputWriter {
            private final PrintWriter writer;
         
            public OutputWriter(OutputStream outputStream) {
                writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
            }
         
            public OutputWriter(Writer writer) {
                this.writer = new PrintWriter(writer);
            }
         
            public void print(Object...objects) {
                for (int i = 0; i < objects.length; i++) {
                    if (i != 0)
                        writer.print(' ');
                    writer.print(objects[i]);
                }
            }
         
            public void printLine(Object...objects) {
                print(objects);
                writer.println();
            }
         
            public void close() {
                writer.close();
            }
         
            public void flush() {
                writer.flush();
            }
         
            }
         
            class IOUtils {
         
            public static int[] readIntArray(InputReader in, int size) {
                int[] array = new int[size];
                for (int i = 0; i < size; i++)
                    array[i] = in.Int();
                return array;
            }
         
            } 

