UVA 11089 Fi-binary Number

///     Raihan Ruhin
///     CSE, Jahangirnagar University.
///     Dhaka-Bangladesh.
///     id: raihanruhin (topcoder / codeforces / codechef / hackerrank / uva / uvalive / spoj), 3235 (lightoj)
///     mail: raihanruhin@ (yahoo / gmail / facebook)
///     blog: ruhinraihan.blogspot.com

#include<bits/stdc++.h>
using namespace std;

#define SET(a) memset(a,-1,sizeof(a))
#define CLR(a) memset(a,0,sizeof(a))
#define PI acos(-1.0)

#define MOD 1000000007
#define MX 100010

int main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);
    int kk=1, tc, n, m, fibo[50];
    string s;
    cin>>tc;
    fibo[0]=fibo[1]=1;
    for(int i=2;i<=45;i++)
        fibo[i]=fibo[i-1]+fibo[i-2];
    //cout<<fibo[45]<<endl;

    while(tc--)
    {
        cin>>n;
        //cout<<"Case "<<kk++<<": ";
        int pos=44;
        while(fibo[pos]>n) pos--;
        while(pos)
        {
            if(n>=fibo[pos])
            {
                cout<<"1";
                n-=fibo[pos];
            }
            else cout<<"0";
            pos--;
        }
        cout<<"\n";
    }

    return 0;
}