Masha really loves algebra. On the last lesson, her strict teacher Dvastan gave she new exercise.

You are given geometric progression b defined by two integers b1 and q. Remind that a geometric progression is a sequence of integers b1, b2, b3, ..., where for each i > 1 the respective term satisfies the condition bi = bi - 1·q, where q is called the common ratio of the progression. Progressions in Uzhlyandia are unusual: both b1 and q can equal 0. Also, Dvastan gave Masha m "bad" integers a1, a2, ..., am, and an integer l.

Masha writes all progression terms one by one onto the board (including repetitive) while condition |bi| ≤ l is satisfied (|x| means absolute value of x). There is an exception: if a term equals one of the "bad" integers, Masha skips it (doesn't write onto the board) and moves forward to the next term.

But the lesson is going to end soon, so Masha has to calculate how many integers will be written on the board. In order not to get into depression, Masha asked you for help: help her calculate how many numbers she will write, or print "inf" in case she needs to write infinitely many integers.

Input

The first line of input contains four integers b1, q, l, m (-109 ≤ b1, q ≤ 109, 1 ≤ l ≤ 109, 1 ≤ m ≤ 105) — the initial term and the common ratio of progression, absolute value of maximal number that can be written on the board and the number of "bad" integers, respectively.

The second line contains m distinct integers a1, a2, ..., am (-109 ≤ ai ≤ 109) — numbers that will never be written on the board.

Output

Print the only integer, meaning the number of progression terms that will be written on the board if it is finite, or "inf" (without quotes) otherwise.

Examples

Input

3 2 30 4
6 14 25 48


Output

3

Input

123 1 2143435 4
123 11 -5453 141245


Output

0

Input

123 1 2143435 4
54343 -13 6 124


Output

inf

Note

In the first sample case, Masha will write integers 3, 12, 24. Progression term 6 will be skipped because it is a "bad" integer. Terms bigger than 24 won't be written because they exceed l by absolute value.

In the second case, Masha won't write any number because all terms are equal 123 and this is a "bad" integer.

In the third case, Masha will write infinitely integers 123. 
        			/*
        		     * Author- Priyam Vora
        		     * BTech 2nd Year DAIICT
        		     */
     
     
        		    import java.awt.Point;
import java.io.*;
        		    import java.math.*;
        		    import java.util.*;
        		    import javax.print.attribute.SetOfIntegerSyntax;
     
     
     
        		    public class Main{
        		    	private static InputStream stream;
        		    	private static byte[] buf = new byte[1024];
        		    	private static int curChar;
        		    	private static int numChars;
        		    	private static SpaceCharFilter filter;
        		    	private static PrintWriter pw;
        		    	private static long count = 0,mod=1000000007;
        		    //	private static TreeSet<Integer> ts=new TreeSet[200000];
     
        		        public static void main(String[] args) {
        		        	InputReader(System.in);
        		    		pw = new PrintWriter(System.out); 
        		            new Thread(null ,new Runnable(){
        		               public void run(){
        		                   try{
        		                       soln2();
        		                       pw.close();
        		                   } catch(Exception e){
        		                       e.printStackTrace();
        		                   }
        		               }
        		           },"1",1<<26).start();
        		       }

        		    	public static long gcd(long x, long y) {
        		    		if (x == 0)
        		    			return y;
        		    		else
        		    			return gcd( y % x,x);
        		    	}	public static boolean isPrime(int n) {
        		    	// Corner cases
			    		if (n <= 1)
			    			return false;
			    		if (n <= 3)
			    			return true;
			     
			    		// This is checked so that we can skip 
			    		// middle five numbers in below loop
			    		if (n % 2 == 0 || n % 3 == 0)
			    			return false;
			     
			    		for (int i = 5; i * i <= n; i = i + 6)
			    			if (n % i == 0 || n % (i + 2) == 0)
			    				return false;
			     
			    		return true;
			    	}
        		        static LinkedList<Integer> adj[];
        		        static boolean Visited[];
        		        static long color[];
        		        static long dist[][];
        		        static long no_sp_no_sub[];
        		        static long ans=0;

        		        private static void soln2(){
        		        	
        		        	long a=nextLong();
        		            long r=nextLong();
        		            long max=nextLong();
        		            long m=nextLong();
        		            HashSet<Long> s=new HashSet<>();
        		            for(int i=0;i<m;i++)
        		                s.add(nextLong());
        		            if(Math.abs(a)>max && r!=0)
        		                pw.println(0);
        		            else if(r==1){
        		                if(s.contains(a) ){
        		                    pw.println(0);
        		                }else{
        		                    pw.println("inf");
        		                }
        		            }else if(r==-1){
        		                long cnt=0;
        		                if(!s.contains(a))
        		                    cnt++;
        		                if(!s.contains(-a))
        		                    cnt++;
        		                if(cnt!=0)
        		                    pw.println("inf");
        		                else
        		                    pw.println(0);
        		            }else if(a==0){
        		                if(s.contains(a))
        		                    pw.println(0);
        		                else
        		                    pw.println("inf");
        		            }else if(r==0){
        		                long cnt=0;
        		                if(Math.abs(a)>max)
        		                    pw.println(0);
        		                else{
        		                    if(!s.contains(a)){
        		                        cnt++;
        		                    }
        		                    //System.out.println(s.contains(0));
        		                    if(!s.contains(r))
        		                        pw.println("inf");
        		                    else
        		                        pw.println(cnt);
        		                }
        		            }
        		            else{
        		                long cnt=0;
        		                while(Math.abs(a)<=max){
        		                    if(!s.contains(a))
        		                        cnt++;
        		                    a=a*r;
        		                }
        		                pw.println(cnt);
        		            }
        		        }
        		    	private static int dfs(int x){
        		    		Visited[x]=true;
        		    		for(int i:adj[x]){
        		    		if(!Visited[i]){
        		    			dfs(i);
        		    		}
        		    		}
        		    		return x;
        		    	}
           		    	private static void buildgraph(int n){
        		    		adj=new LinkedList[n+1];
        		    		Visited=new boolean[n+1];
        		    		color=new long[n+1];
        		    	
        		    		no_sp_no_sub=new long[n+1];
        		    		ans=0;
        		    		Arrays.fill(color, 0);
        		    		for(int i=0;i<=n;i++){
        		    			adj[i]=new LinkedList<Integer>();
        		    		}
     
     
        		    	}
     
        		    	// To Get Input
        		    	// Some Buffer Methods
     
        		    	public static void InputReader(InputStream stream1) {
        		    		stream = stream1;
        		    	}
     
        		    	private static boolean isWhitespace(int c) {
        		    		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        		    	}
     
        		    	private static boolean isEndOfLine(int c) {
        		    		return c == '\n' || c == '\r' || c == -1;
        		    	}
     
        		    	private static 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++];
        		    	}
     
        		    	private static int nextInt() {
        		    		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;
        		    	}
     
        		    	private static long nextLong() {
        		    		int c = read();
        		    		while (isSpaceChar(c))
        		    			c = read();
        		    		int sgn = 1;
        		    		if (c == '-') {
        		    			sgn = -1;
        		    			c = read();
        		    		}
        		    		long res = 0;
        		    		do {
        		    			if (c < '0' || c > '9')
        		    				throw new InputMismatchException();
        		    			res *= 10;
        		    			res += c - '0';
        		    			c = read();
        		    		} while (!isSpaceChar(c));
        		    		return res * sgn;
        		    	}
     
        		    	private static String nextToken() {
        		    		int c = read();
        		    		while (isSpaceChar(c))
        		    			c = read();
        		    		StringBuilder res = new StringBuilder();
        		    		do {
        		    			res.appendCodePoint(c);
        		    			c = read();
        		    		} while (!isSpaceChar(c));
        		    		return res.toString();
        		    	}
     
        		    	private static String nextLine() {
        		    		int c = read();
        		    		while (isSpaceChar(c))
        		    			c = read();
        		    		StringBuilder res = new StringBuilder();
        		    		do {
        		    			res.appendCodePoint(c);
        		    			c = read();
        		    		} while (!isEndOfLine(c));
        		    		return res.toString();
        		    	}
     
        		    	private static int[] nextIntArray(int n) {
        		    		int[] arr = new int[n];
        		    		for (int i = 0; i < n; i++) {
        		    			arr[i] = nextInt();
        		    		}
        		    		return arr;
        		    	}
     
        		    	private static int[][] next2dArray(int n, int m) {
        		    		int[][] arr = new int[n][m];
        		    		for (int i = 0; i < n; i++) {
        		    			for (int j = 0; j < m; j++) {
        		    				arr[i][j] = nextInt();
        		    			}
        		    		}
        		    		return arr;
        		    	}
        		    	private static char[][] nextCharArray(int n,int m){
        		    		char [][]c=new char[n][m];
        		    		for(int i=0;i<n;i++){
        		    			String s=nextLine();
        		    			for(int j=0;j<s.length();j++){
        		    				c[i][j]=s.charAt(j);
        		    			}
        		    		}
        		    		return c;
        		    	}
     
        		    	private static long[] nextLongArray(int n) {
        		    		long[] arr = new long[n];
        		    		for (int i = 0; i < n; i++) {
        		    			arr[i] = nextLong();
        		    		}
        		    		return arr;
        		    	}
     
        		    	private static void pArray(int[] arr) {
        		    		for (int i = 0; i < arr.length; i++) {
        		    			pw.print(arr[i] + " ");
        		    		}
        		    		pw.println();
        		    		return;
        		    	}
     
        		    	private static void pArray(long[] arr) {
        		    		for (int i = 0; i < arr.length; i++) {
        		    			pw.print(arr[i] + " ");
        		    		}
        		    		pw.println();
        		    		return;
        		    	}
     
        		    	private static void pArray(boolean[] arr) {
        		    		for (int i = 0; i < arr.length; i++) {
        		    			pw.print(arr[i] + " ");
        		    		}
        		    		pw.println();
        		    		return;
        		    	}
     
        		    	private static boolean isSpaceChar(int c) {
        		    		if (filter != null)
        		    			return filter.isSpaceChar(c);
        		    		return isWhitespace(c);
        		    	}
     
        		    	private interface SpaceCharFilter {
        		    		public boolean isSpaceChar(int ch);
        		    	}
     
     
    }
        		    
        		    class Node{
        		    	int to;
        		    	long dist;
        		    	Node(int to,long dist){
        		    		this.to=to;
        		    		this.dist=dist;
        		    	}
        		    	
        		    }
        			class Pair implements Comparable<Pair>{
						
						int city,pop;
						Pair(int city,int pop){
							this.city=city;
							this.pop=pop;
						}
						@Override
						public int compareTo(Pair o) {
				return pop-this.pop;
				
						}
						public int hashCode() {
		    	    			int hu = (int) (city ^ (city >>> 32));
		    	    			int hv = (int) (pop ^ (pop >>> 32));
		    	    			//int hw = (int) (mass ^ (mass >>> 32));
		    	    			return 31 * hu + hv ;
		    	    		//return 0;
		    				}
		    				public boolean equals(Object o) {
		    	    			Pair other = (Pair) o;
		    	    			return city == other.city && pop == other.pop;
		    	    		}
					}  class Dsu{
	    		    	private int rank[], parent[] ,n;
	    		    	private static int[] parent1;
	    		    	Dsu(int size){
	    		    		this.n=size+1;
	    		    		rank=new int[n];
	    		    		//parent=new int[n];
	    		    		parent=new int[n];
	    		    	makeSet();
	    		
	    		    	}
	    		    	
	    		    	void makeSet(){
	    		    		for(int i=0;i<n;i++){
	    		    			parent[i]=i;
	    		    		}
	    		    	}
	    		    	
	    		    	int find(int x){
	    		    		if(parent[x]!=x){
	    		    			
	    		    			parent[x]=find(parent[x]);
	    		    		}
	    		    		return parent[x];
	    		    	}
	    		    
	    		    	
	    		    	boolean union(int x,int y){
	    		    		int xRoot=find(x);
	    		    		int yRoot=find(y);
	    		    		
	    		    		if(xRoot==yRoot)
	    		    			return false;
	    		    		if(rank[xRoot]<rank[yRoot]){
	    		    		parent[xRoot]=yRoot;	
	    		    		}else if(rank[yRoot]<rank[xRoot]){
	    		    			parent[yRoot]=xRoot;
	    		    		}else{
	    		    			parent[yRoot]=xRoot;
	    		    			rank[xRoot]++;
	    		    		}
	    		    		return true;
	    		    	}

	    		     
	    		    }