#include <cstdio>
#include <cstdlib>
#include <cmath>
bool isFib(int w)
{
double X1 = 5 * pow(w, 2) + 4;
double X2 = 5 * pow(w, 2) - 4;
long X1_sqrt = (long)sqrt(X1);
long X2_sqrt = (long)sqrt(X2);
return (X1_sqrt*X1_sqrt == X1) || (X2_sqrt*X2_sqrt == X2) ;
}
int main()
{
int t;
div_t divresult;
scanf("%d", &t);
for(int i=0; i<t; i++)
{
bool found = false;
int n;
scanf("%d", &n);
if(isFib(n) || n==0)
{
printf("TAK\n");
continue;
}
int d=n;
int f1=1;
int f2=1;
for(int tmp=0; tmp<n && tmp<d; )
{
tmp = f1+f2;
divresult = div (n,tmp);
d = divresult.quot;
if(divresult.rem == 0 && isFib(d))
{
printf("TAK\n");
found = true;
break;
}
f1 = f2;
f2 = tmp;
}
if(found == false)
{
printf("NIE\n");
}
}
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 | #include <cstdio> #include <cstdlib> #include <cmath> bool isFib(int w) { double X1 = 5 * pow(w, 2) + 4; double X2 = 5 * pow(w, 2) - 4; long X1_sqrt = (long)sqrt(X1); long X2_sqrt = (long)sqrt(X2); return (X1_sqrt*X1_sqrt == X1) || (X2_sqrt*X2_sqrt == X2) ; } int main() { int t; div_t divresult; scanf("%d", &t); for(int i=0; i<t; i++) { bool found = false; int n; scanf("%d", &n); if(isFib(n) || n==0) { printf("TAK\n"); continue; } int d=n; int f1=1; int f2=1; for(int tmp=0; tmp<n && tmp<d; ) { tmp = f1+f2; divresult = div (n,tmp); d = divresult.quot; if(divresult.rem == 0 && isFib(d)) { printf("TAK\n"); found = true; break; } f1 = f2; f2 = tmp; } if(found == false) { printf("NIE\n"); } } return 0; } |
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