Vasya has recently learned at school what a number's divisor is and decided to determine a string's divisor. Here is what he came up with.

String a is the divisor of string b if and only if there exists a positive integer x such that if we write out string a consecutively x times, we get string b. For example, string "abab" has two divisors — "ab" and "abab".

Now Vasya wants to write a program that calculates the number of common divisors of two strings. Please help him.

Input

The first input line contains a non-empty string s1.

The second input line contains a non-empty string s2.

Lengths of strings s1 and s2 are positive and do not exceed 105. The strings only consist of lowercase Latin letters.

Output

Print the number of common divisors of strings s1 and s2. 

Examples

Input

abcdabcd
abcdabcdabcdabcd


Output

2


Input

aaa
aa


Output

1

Note

In first sample the common divisors are strings "abcd" and "abcdabcd".

In the second sample the common divisor is a single string "a". String "aa" isn't included in the answer as it isn't a divisor of string "aaa".
import java.awt.Point;
import java.io.*;
import java.math.BigInteger;
import java.util.*;
import static java.lang.Math.*;
 
public class _D {
        
        final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE")!=null;
        BufferedReader in;
        PrintWriter out;
        StringTokenizer tok = new StringTokenizer("");
        
        void init() throws FileNotFoundException{
                if (ONLINE_JUDGE){
                        in = new BufferedReader(new InputStreamReader(System.in));
                        out = new PrintWriter(System.out);
                }else{
                        in = new BufferedReader(new FileReader("input.txt"));
                        out = new PrintWriter("output.txt");
                }
        }
        
        String readString() throws IOException{
                while(!tok.hasMoreTokens()){
                        tok = new StringTokenizer(in.readLine());
                }
                return tok.nextToken();
        }
        
        int readInt() throws IOException{
                return Integer.parseInt(readString());
        }
        
        long readLong() throws IOException{
                return Long.parseLong(readString());
        }
        
        double readDouble() throws IOException{
                return Double.parseDouble(readString());
        }
        
        int[] readArr(int n) throws IOException{
        	int[] res = new int[n];
        	for(int i = 0; i < n; i++){
        		res[i] = readInt();
        	}
        	return res;
        }
        
        long[] readArrL(int n) throws IOException{
        	long[] res = new long[n];
        	for(int i = 0; i < n; i++){
        		res[i] = readLong();
        	}
        	return res;
        }
        
        public static void main(String[] args){
                new _D().run();
        }
        
        public void run(){
                try{
                        long t1 = System.currentTimeMillis();
                        init();
                        solve();
                        out.close();
                        long t2 = System.currentTimeMillis();
                        System.err.println("Time = "+(t2-t1));
                }catch (Exception e){
                        e.printStackTrace(System.err);
                        System.exit(-1);
                }
        }        
        
        void solve() throws IOException{
        	char[] s1 = readString().toCharArray();
        	char[] s2 = readString().toCharArray();
        	int n1 = s1.length;
        	int n2 = s2.length;
        	ArrayList<Integer> d1 = new ArrayList<Integer>();
        	d1.add(1);
        	d1.add(n1);
        	for(int i = 2; i * i <= n1; i++){
        		if(n1%i == 0){
        			d1.add(i);
        			d1.add(n1/i);
        		}
        	}
        	ArrayList<Integer> d2 = new ArrayList<Integer>();
        	d2.add(1);
        	d2.add(n2);
        	for(int i = 2; i * i <= n2; i++){
        		if(n2%i == 0){
        			d2.add(i);
        			d2.add(n2/i);
        		}
        	}
        	
        	boolean[] c = new boolean[max(n1,n2)+1];
        	ArrayList<Integer> div = new ArrayList<Integer>();
        	for(int i: d1){
        		for(int j: d2){
        			if(i == j){
        				if(!c[i]){
        					c[i] = true;
        					div.add(i);
        				}
        			}
        		}
        	}
        	
        	int count = 0;
        	for(int i: div){
        		boolean check = true;
        		for(int j = i; j < n1; j++){
        			if(s1[j] != s1[j%i]){
        				check = false;
        			}
        		}
        		for(int j = i; j < n2; j++){
        			if(s2[j] != s2[j%i]){
        				check = false;
        			}
        		}
        		if(check && (new String(s1).substring(0, i)).equals((new String(s2)).substring(0, i))) count++;
        	}
        		
        	out.println(count);
        }
        
        void maxHepify(int[] a, int i, int length){
        	int l = (i<<1) + 1;
        	int r = (i<<1) + 2;
        	int largest = i;
        	if(l < length && a[l] > a[largest])
        		largest = l;
        	if(r < length && a[r] > a[largest])
        		largest = r;
        	if(largest != i){
        		a[largest] += a[i];
        		a[i] = a[largest] - a[i];
        		a[largest] -= a[i];
        		maxHepify(a, largest, length);
        	}
        }
        
        void buildMaxHeap(int[] a){
        	for(int i = a.length/2 - 1; i >= 0; i--){
        		maxHepify(a, i, a.length);
        	}
        }
        
        void heapSort(int[] a){
        	buildMaxHeap(a);
        	for(int i = a.length - 1; i > 0; i--){
        		a[i] += a[0];
        		a[0] = a[i] - a[0];
        		a[i] -= a[0];
        		maxHepify(a, 0, i);
        	}
        }

        
        int[] zFunction(char[] s){
        	int[] z = new int[s.length];
        	z[0] = 0;
        	for (int i=1, l=0, r=0; i<s.length; ++i) {
        		if (i <= r)
        			z[i] = min (r-i+1, z[i-l]);
        		while (i+z[i] < s.length && s[z[i]] == s[i+z[i]])
        			++z[i];
        		if (i+z[i]-1 > r){
        			l = i; 
        			r = i+z[i]-1;
        		}
        	}	
        	return z;
        }
        
        int[] prefixFunction(char[] s){
        	int[] pr = new int[s.length];
        	for (int i = 1; i< s.length; ++i) {
        		int j = pr[i-1];
        		while (j > 0 && s[i] != s[j])
        			j = pr[j-1];
        		if (s[i] == s[j])  ++j;
        		pr[i] = j;
        	}
        	return pr;
        }
        
        int ModExp(int a, int n, int mod){
        	int res = 1;
        	while (n!=0)
        		if ((n & 1) != 0) {
        			res = (res*a)%mod;
        			--n;
        		}
        		else {
        			a = (a*a)%mod;
        			n >>= 1;
        		}
        	return res;
        }
        
        
        public static class Utils {       	
 
        	private Utils() {}

        	public static void mergeSort(int[] a) {
                    mergeSort(a, 0, a.length - 1);
            }
             
        	private static void mergeSort(int[] a, int leftIndex, int rightIndex) {
                    final int MAGIC_VALUE = 50;
                    if (leftIndex < rightIndex) {
                            if (rightIndex - leftIndex <= MAGIC_VALUE) {
                                    insertionSort(a, leftIndex, rightIndex);
                            } else {
                                    int middleIndex = (leftIndex + rightIndex) / 2;
                                    mergeSort(a, leftIndex, middleIndex);
                                    mergeSort(a, middleIndex + 1, rightIndex);
                                    merge(a, leftIndex, middleIndex, rightIndex);
                            }
                    }
            }
 
            private static void merge(int[] a, int leftIndex, int middleIndex, int rightIndex) {
            	int length1 = middleIndex - leftIndex + 1;
            	int length2 = rightIndex - middleIndex;
                int[] leftArray = new int[length1];
                int[] rightArray = new int[length2];
                System.arraycopy(a, leftIndex, leftArray, 0, length1);
                System.arraycopy(a, middleIndex + 1, rightArray, 0, length2);
                for (int k = leftIndex, i = 0, j = 0; k <= rightIndex; k++) {
                    if (i == length1) {
                            a[k] = rightArray[j++];
                    } else if (j == length2) {
                            a[k] = leftArray[i++];
                    } else {
                            a[k] = leftArray[i] <= rightArray[j] ? leftArray[i++] : rightArray[j++];
                    }
                }
            }
 
            private static void insertionSort(int[] a, int leftIndex, int rightIndex) {
                for (int i = leftIndex + 1; i <= rightIndex; i++) {
            		int current = a[i];
                    int j = i - 1;
                	while (j >= leftIndex && a[j] > current) {
                        a[j + 1] = a[j];
                        j--;
                        }
                    a[j + 1] = current;
                }
            }
        }
        
         
       
        
        boolean isPrime(int a){
        	for(int i = 2; i <= sqrt(a); i++)
        		if(a % i == 0) return false;
        	return true;
        }
        
        static double distance(long x1, long y1, long x2, long y2){
        	return Math.sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));
        }
        
        static long gcd(long a, long b){
        	if(min(a,b) == 0) return max(a,b);
        	return gcd(max(a, b) % min(a,b), min(a,b));
        }
        
        static long lcm(long a, long b){
        	return a * b /gcd(a, b);
        }
}

/*class Treap<K extends Comparable<K>>{
	
	public K x;
	public double y;
	public Treap<K> left;
	public Treap<K> right;
	
	public Treap(K x, double y, Treap<K> left, Treap<K> right) {
		this.x = x;
		this.y = y;
		this.left = left;
		this.right = right;
	}
	
	public static <K extends Comparable<K>> Treap<K> merge(Treap<K> l, Treap<K> r){
		if(l == null) return r;
		if(r == null) return l;
		if(l.y > r.y){
			return new Treap<K>(l.x, l.y, l.left, merge(l.right, r));
		}
		else{
			return new Treap<K>(r.x, r.y, merge(l, r.left), r.right);
		}
	}
	
	public void split(K x, Treap<K> left, Treap<K> right){
		Treap<K> newTreap = null;
		if(this.x.compareTo(x) <= 0){
			if(this.right == null){
				right = null;
			}
			else{
				right.split(x, newTreap, right);
			}
			left = new Treap<K>(this.x, this.y, left, newTreap);
		}
		else{
			if(this.left == null){
				left = null;
			}
			else{
				left.split(x, left, newTreap);
			}
			right = new Treap<K>(x, y, newTreap, right);
		}
	}
	
	public Treap<K> add(K x){
		Treap<K> left = null, right = null;
		this.split(x, left, right);
		Treap<K> temp = new Treap<K>(x, random(), null, null);
		return merge(merge(left, temp), right);
	}
	
	@SuppressWarnings("null")
	public Treap<K> remove(K x){
		Treap<K> left = null, temp = null, right = null;
		this.split(x, left, right);
		right.split(x, temp, right);
		return merge(left, right);
	}
	
	public static <K extends Comparable<K>> Treap<K> build(K[] a){
		Treap<K> temp = new Treap<K>(a[0], random(), null, null);
		for(int i = 1; i < a.length; i++){
			temp = temp.add(a[i]);
		}
		return temp;
	}
}*/