#include <algorithm>
#include <string>
#include <vector>
#include <list>
#include <cctype>
#include <cmath>
#include <iostream>
#include <set>
#include <map>
#include <sstream>
#include <typeinfo>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ull> vull;
typedef vector<string> vs;
#define SIZE(x) ((int)(x.size()))
#define LET(var, val) typeof(val) var = (val)
#define FOR(k, a, b) for(typeof(a) k = (a); k < (b); ++k)
#define FORR(k, a, b) for(typeof(a) k = (a); k >= (b); --k)
#define REP(x, n) for(int x = 0; x < (n); ++x)
#define ALL(c) (c).begin(), (c).end()
#define FOREACH(i, c) for(LET(i, (c).begin()); i != (c).end(); ++i)
#define PB push_back
#define PF push_front
const int INF = 1000000001;
const double EPS = 10e-9;
const double PI = acos(-1.0);
ostringstream out;
int fibonacci[45];
bool is_fibonacci(int n)
{
long test1 = 5 * n * n + 4;
long test2 = 5 * n * n - 4;
long sq1 = sqrt(test1);
long sq2 = sqrt(test2);
return (test1 == sq1 * sq1 || test2 == sq2 * sq2);
}
int main()
{
ios_base::sync_with_stdio(0);
fibonacci[0] = 0;
fibonacci[1] = 1;
fibonacci[2] = 2;
{
int i = 2;
while (fibonacci[i] <= 1000000000)
{
i++;
fibonacci[i] = fibonacci[i-1] + fibonacci[i-2];
}
}
int t;
cin >> t;
while (t--)
{
int n;
cin >> n;
int sq = (int)sqrt(n);
int i = 0;
bool is = false;
if (n == 0)
{
out << "TAK\n";
continue;
}
while (fibonacci[++i] <= sq)
{
if (n % fibonacci[i] == 0 && is_fibonacci(n / fibonacci[i]))
{
is = true;
break;
}
}
out << (is ? "TAK\n" : "NIE\n");
}
cout << out.str();
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 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 | #include <algorithm> #include <string> #include <vector> #include <list> #include <cctype> #include <cmath> #include <iostream> #include <set> #include <map> #include <sstream> #include <typeinfo> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef vector<int> vi; typedef vector<ll> vll; typedef vector<ull> vull; typedef vector<string> vs; #define SIZE(x) ((int)(x.size())) #define LET(var, val) typeof(val) var = (val) #define FOR(k, a, b) for(typeof(a) k = (a); k < (b); ++k) #define FORR(k, a, b) for(typeof(a) k = (a); k >= (b); --k) #define REP(x, n) for(int x = 0; x < (n); ++x) #define ALL(c) (c).begin(), (c).end() #define FOREACH(i, c) for(LET(i, (c).begin()); i != (c).end(); ++i) #define PB push_back #define PF push_front const int INF = 1000000001; const double EPS = 10e-9; const double PI = acos(-1.0); ostringstream out; int fibonacci[45]; bool is_fibonacci(int n) { long test1 = 5 * n * n + 4; long test2 = 5 * n * n - 4; long sq1 = sqrt(test1); long sq2 = sqrt(test2); return (test1 == sq1 * sq1 || test2 == sq2 * sq2); } int main() { ios_base::sync_with_stdio(0); fibonacci[0] = 0; fibonacci[1] = 1; fibonacci[2] = 2; { int i = 2; while (fibonacci[i] <= 1000000000) { i++; fibonacci[i] = fibonacci[i-1] + fibonacci[i-2]; } } int t; cin >> t; while (t--) { int n; cin >> n; int sq = (int)sqrt(n); int i = 0; bool is = false; if (n == 0) { out << "TAK\n"; continue; } while (fibonacci[++i] <= sq) { if (n % fibonacci[i] == 0 && is_fibonacci(n / fibonacci[i])) { is = true; break; } } out << (is ? "TAK\n" : "NIE\n"); } cout << out.str(); return 0; } |
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