Problem: Fibonacci numbers have the following form:

F1 = 1,  F2 = 2,  Fi = Fi - 1 + Fi - 2, i > 2.

Let's consider some non-empty set S = {s1, s2, ..., sk}, consisting of different Fibonacci numbers. Let's find the sum of values of this set's elements:

<image>

Let's call the set S a number n's decomposition into Fibonacci sum. 

It's easy to see that several numbers have several decompositions into Fibonacci sum. For example, for 13 we have 13, 5 + 8, 2 + 3 + 8 — three decompositions, and for 16: 3 + 13, 1 + 2 + 13, 3 + 5 + 8, 1 + 2 + 5 + 8 — four decompositions.

By the given number n determine the number of its possible different decompositions into Fibonacci sum.

Input

The first line contains an integer t — the number of tests (1 ≤ t ≤ 105). Each of the following t lines contains one test.

Each test is an integer n (1 ≤ n ≤ 1018).

Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator.

Output

For each input data test print a single number on a single line — the answer to the problem.

Examples

Input

2
13
16


Output

3
4

Note

Two decompositions are different if there exists a number that is contained in the first decomposition, but is not contained in the second one. Decompositions that differ only in the order of summands are considered equal.

Solution (in JAVA):

Solution:
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.*;
import java.util.Map.Entry;

public class TestClass {
	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;
	
	public static class Queue{
		private class node{
			int val;
			node next;
			node(int a){
				val = a;
				next = null;
			}
		}
		node head,tail;
		Queue(){
			head = null;
			tail = null;
		}
		public void EnQueue(int a){
			if(head==null){
				node p = new node(a);
				head = p;
				tail = p;
			}
			else{
				node p = new node(a);
				tail.next = p;
				tail = p;
			}
		}
		public int DeQueue(){
			int a = head.val;
			head = head.next;
			return a;
		}
		public boolean isEmpty(){
			return head==null;
		}
	}
	public static long pow(long x,long y,long m){
		if(y==0)
    		return 1;
    	long k = pow(x,y/2,m);
    	if(y%2==0)
    		return (k*k)%m;
    	else
    		return (((k*k)%m)*x)%m;
    }
	static long Inversex = 0,Inversey = 0;
	public static void InverseModulo(long a,long m){
		if(m==0){
			Inversex = 1;
			Inversey = 0;
		}
		else{
    		InverseModulo(m,a%m);
    		long temp = Inversex;
    		Inversex = Inversey;
    		Inversey = temp+ - (a/m)*Inversey;
    	}
    }
    static long mod1 = 1000000007;
    static long mod2 = 1000000009;
	public static long gcd(long a,long b){
		if(a%b==0)
			return b;
		return gcd(b,a%b);
	}
	public static boolean isPrime(long a){
		if(a==1)
			return false;
		else if(a==2||a==3)
			return true;
		for(long i=2;i<=Math.sqrt(a);i++)
			if(a%i==0)
				return false;
		return true;
	}
	public static double distance(int a,int b,int x,int y){
		return Math.sqrt(((long)(a-x)*(long)(a-x))+((long)(b-y)*(long)(b-y)));
	}
	public static class Pair implements Comparable<Pair> {
		long u;
		long v;
		public Pair(long u, long v) {
			this.u = u;
			this.v = v;
		}
		public int hashCode() {
			int hu = (int) (u ^ (u >>> 32));
			int hv = (int) (v ^ (v >>> 32));
			return 31 * hu + hv;
		}
		public boolean equals(Object o) {
			Pair other = (Pair) o;
			return u == other.u && v == other.v;
		}
		public int compareTo(Pair other) {
			return Long.compare(u, other.u) != 0 ? Long.compare(u, other.u) : Long.compare(v, other.v);
		}
		public String toString() {
			return u+" "+v;
		}
	}
	public static class Pairs implements Comparable<Pairs> {
		long u;
		long v;
		int id;
		public Pairs(long u, long v,int w) {
			this.u = u;
			this.v = v;
			this.id = w;
		}
		public int hashCode() {
			int hu = (int) (u ^ (u >>> 32));
			int hv = (int) (v ^ (v >>> 32));
			return 31 * hu + hv;
		}
		public boolean equals(Object o) {
			Pairs other = (Pairs) o;
			return u == other.u && v == other.v;
		}
		public int compareTo(Pairs other) {
			return Long.compare(u, other.u) != 0 ? Long.compare(u, other.u) : Long.compare(v, other.v);
		}
		public String toString() {
			return u+" "+v;
		}
	}
	public static int sieve(int a[],boolean b[]){
		int count = 0;
		b[0] = true;
		b[1] = true;
		for(int i=2;i<a.length;i++){
			if(!b[i]){
				for(int j=2*i;j<a.length;j=j+i){
					b[j] = true;	
				}
				a[count++] = i;
			}
		}
		return count;
	}
	public static void MatrixMultiplication(int a[][],int b[][],int c[][]){
		for(int i=0;i<a.length;i++){
			for(int j=0;j<b[0].length;j++){
				c[i][j] = 0;
				for(int k=0;k<b.length;k++)
					c[i][j]=(int)((c[i][j]+((a[i][k]*(long)b[k][j])%mod1))%mod1);
			}
		}
	}
	public static void Equal(int arr[][],int temp[][]){
		for(int i=0;i<arr.length;i++){
			for(int j=0;j<arr.length;j++)
				temp[i][j] = arr[i][j];
		}
	}
	public static void makeHash(String a,long b[],long mod){
		for(int i=1;i<=a.length();i++)
			b[i] = ((a.charAt(i-1)-'a')+b[i-1]*26)%mod;
	}
	/*public static long getHash(long b[],int p,int q,long mod){
		
	}
	public static void Merge(long a[][],int p,int r){
        if(p<r){
            int q = (p+r)/2;
            Merge(a,p,q);
            Merge(a,q+1,r);
            Merge_Array(a,p,q,r);
        }
    }
	public static void get(long a[][],long b[][],int i,int j){
		for(int k=0;k<a[i].length;k++)
			a[i][k] = b[j][k];
	}
    public static void Merge_Array(long a[][],int p,int q,int r){
        long b[][] = new long[q-p+1][a[0].length];
        long c[][] = new long[r-q][a[0].length];
        for(int i=0;i<b.length;i++){
            get(b,a,i,p+i);
        }
        for(int i=0;i<c.length;i++){
            get(c,a,i,q+i+1);
        }
        int i = 0,j = 0;
        for(int k=p;k<=r;k++){
            if(i==b.length){
                get(a,c,k,j);
                j++;
            }
            else if(j==c.length){
                get(a,b,k,i);
                i++;
            }
            else if(b[i][0]<c[j][0]){
                get(a,b,k,i);
                i++;
            }
            else{
                get(a,c,k,j);
                j++;
            }
        }
    }
    public static void powMatrix(long n){
    	if(n<=1)
    		return ;
    	powMatrix(n/2);
    	MatrixMultiplication(temp2,temp2,result);
		Equal(result,temp2);
    	if(n%2==1){
    		MatrixMultiplication(temp2,a,result);
    		Equal(result,temp2);
    	}
    }
    static int result[][] = new int[4][4];
	static int temp[][] = new int[4][4];
	static int temp2[][] = new int[4][4];
	static int a[][] = new int[4][4];
	static int[][] b = new int[4][1];
	static int [][] c = new int[4][1];
    public static int count(long n){
		a[0][0] = 1 ;
		a[0][1] = 1;
		a[1][0] = 1;
		a[2][1] = 1;
		a[3][0] = 1;
		a[3][1] = 1;
		a[3][3] = 1;
		b[0][0] = 1;
		b[1][0] = 1;
		b[2][0] = 0;
		b[3][0] = 2;
		Equal(a,temp2);
		result[0][0] = 1;
		result[1][1] = 1;
		result[2][2] = 1;
		result[3][3] = 1;
		Equal(result,temp);
		if(n<=0)
			return 0;
		else if(n==1)
			return 1;
		else if(n==2)
			return 2;
		n = n-2;
		powMatrix(n);
		MatrixMultiplication(temp2,b,c);
		return c[3][0];
	}*/
	public static class ST{
		int arr[] = new int[800000];
		int lazy[] = new int[800000];
		//int zero[] = new int[800000];
		ST(int a[]){
			Build(a,0,a.length-1,0);
		}
		public void Build(int a[],int p,int q,int count){
			if(p==q){
				arr[count] = a[p];
				//zero[count] = 1;
				return ;
			}
			int mid = (p+q)/2;
			Build(a,p,mid,2*count+1);
			Build(a,mid+1,q,2*count+2);
			arr[count] = arr[2*count+1]&arr[2*count+2];
			//zero[count] = zero[2*count+1]+zero[2*count+2];
		}
		public void print(){
			for(int i=0;i<10;i++)
				pw.print(arr[i]+" ");
			pw.println();
		}
		public int getSum(int p,int q,int x,int y,int count){
			if(lazy[count]!=0){
				arr[count]|=lazy[count];
				lazy[2*count+1]|=lazy[count];
				lazy[2*count+2]|=lazy[count];
				lazy[count] = 0;
			}
			if(q<x||p>y||p>q){
				//pw.println("UT");
				return (int)Math.pow(2, 30)-1;
			}
			else if(x<=p&&y>=q){
				//pw.println(count+" UT "+arr[count]);
				return arr[count];
			}
			int mid = (p+q)/2;
			return getSum(p,mid,x,y,2*count+1)&getSum(mid+1,q,x,y,2*count+2);
		}
		public void Update(int p,int q,int x,int y,int count,int up){
			if(lazy[count]!=0){
				arr[count]|=lazy[count];
				lazy[2*count+1]|=lazy[count];
				lazy[2*count+2]|=lazy[count];
				lazy[count] = 0;
				//pw.println("UTSAV");
			}
			if(q<x||p>y||p>q)
				return;
			else if(x<=p&&y>=q){
				arr[count]|=up;
				lazy[2*count+1]|=up;
				lazy[2*count+2]|=up;
				return ;
			}
			int mid = (p+q)/2;
			Update(p,mid,x,y,2*count+1,up);
			Update(mid+1,q,x,y,2*count+2,up);
			arr[count] = arr[2*count+1]&arr[2*count+2];
		}
	}
	private static void soln(){
		int count = 2;
		long arr[] = new long[100];
		arr[0] = 1;
		arr[1] = 2;
		while(arr[count-1]>0){
			arr[count] = arr[count-1]+arr[count-2];
			count++;
		}
		count-=2;
		int t = nI();
		while(t-->0){
			long p = nL();
			int cou = 0;
			int ct[] = new int[100];
			for(int i=count;i>=0;i--){
				if(p>=arr[i]){
					p-=arr[i];
					ct[cou++] = i;
				}
			}
			long dp[][] = new long[cou][2];
			int s = ct[cou-1];
			dp[0][0] = s/2;
			dp[0][1] = 1;
			for(int i=1;i<cou;i++){
				int m = ct[cou-1-i];
				dp[i][0] = dp[i-1][0]*((m-s)/2)+dp[i-1][1]*((m-s-1)/2);
				dp[i][1] = dp[i-1][1]+dp[i-1][0];
				s = m;
			}
			pw.println(dp[cou-1][0]+dp[cou-1][1]);
		}
	}
	public static void main(String[] args) {
		InputReader(System.in);
		pw = new PrintWriter(System.out);
		soln();
		pw.close();
	}
	// 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 nI() {
		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 nL() {
		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 nLi() {
		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[] nIA(int n) {
		int[] arr = new int[n];
		for (int i = 0; i < n; i++)
			arr[i] = nI();
		return arr;
	}
	private static long[] nLA(int n) {
		long[] arr = new long[n];
		for (int i = 0; i < n; i++)
			arr[i] = nL();
		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 boolean isSpaceChar(int c) {
		if (filter != null)
			return filter.isSpaceChar(c);
		return isWhitespace(c);
	}
	private interface SpaceCharFilter {
		public boolean isSpaceChar(int ch);
	}
}