Red Huang

Red Huang

uva 11089

費式數列特性

//============================================================================  
// Name        : Fi-binary Number.cpp  
// Date : 2013/4/30 上午10:08:18  
// Author : GCA  
//============================================================================  
#include <iostream>  
#include <cstdio>  
#include <cstring>  
#include <algorithm>  
#include <cmath>  
#include <climits>  
#include <vector>  
#include <set>  
#include <map>  
#include <queue>  
#include <cctype>  
#include <utility>  
using namespace std;  
#ifdef ONLINE\_JUDGE  
#define ll "%lld"  
#else  
#define ll "%I64d"  
#endif  
typedef unsigned int uint;  
typedef long long int Int;  
#define Set(a,s) memset(a,s,sizeof(a))  
#define Write(w) freopen(w,"w",stdout)  
#define Read(r) freopen(r,"r",stdin)  
#define Pln() printf("\\n")  
#define I\_de(x,n)for(int i=0;i<n;i++)printf("%d ",x\[i\]);Pln()  
#define De(x)printf(#x"%d\\n",x)  
#define For(i,x)for(int i=0;i<x;i++)  
#define CON(x,y) x##y  
#define Pmz(dp,nx,ny)for(int hty=0;hty<ny;hty++){for(int htx=0;htx<nx;htx++){\\  
    printf("%d ",dp\[htx\]\[hty\]);}Pln();}  
#define MM 100  
  
#define PII pair<int,int\>  
#define PB push\_back  
#define oo INT\_MAX  
#define Set\_oo 0x3f  
#define Is\_debug true  
#define debug(...) if(Is\_debug)printf("DEBUG: "),printf(\_\_VA\_ARGS\_\_)  
#define FOR(it,c) for(\_\_typeof((c).begin()) it=(c).begin();it!=(c).end();it++)  
#define eps 1e-6  
bool xdy(double x,double y){return x>y+eps;}  
bool xddy(double x,double y){return x>y-eps;}  
bool xcy(double x,double y){return x<y-eps;}  
bool xcdy(double x,double y){return x<y+eps;}  
int min3(int x,int y,int z){  
    int tmp=min(x,y);  
    return min(tmp,z);  
}  
int max3(int x,int y,int z){  
    int tmp=max(x,y);  
    return max(tmp,z);  
}  
int M;  
int f\[100\];  
void pre(){  
    M=100;  
  
    f\[0\]=1;  
    f\[1\]=2;  
    for(int i=2;i<M;i++){  
        f\[i\]=f\[i-1\]+f\[i-2\];  
        if(f\[i\]<0)M=i-1;  
        //printf("%d ",f\[i\]);  
    }//Pln();  
}  
int ans\[100\];  
int n;  
int main() {  
    ios\_base::sync\_with\_stdio(0);  
    int test;  
    pre();  
    scanf("%d",&test);  
    while(test--){  
        int fg=0;  
        scanf("%d",&n);  
        for(int i=M-1;i>=0;i--){  
            if(n>=f\[i\]){  
                n-=f\[i\];  
                fg=1;  
                printf("1");  
            }  
            else if(fg){  
                printf("0");  
            }  
        }  
        Pln();  
    }  
  
  
  
}  

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