#include <iostream>
#include <unordered_set>
#include <vector>
#include <iterator>
#include <cmath>
#include <string>
class FibonacciMultiplicationValidator
{
public:
FibonacciMultiplicationValidator()
{
const long FibonacciNumbers[] = {
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946,
17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578,
5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296,
433494437, 701408733, 1134903170 };
_fiboVec = std::vector<long>(std::begin(FibonacciNumbers), std::end(FibonacciNumbers));
_fiboHashSet = std::unordered_set<long>(std::begin(FibonacciNumbers), std::end(FibonacciNumbers));
}
bool IsMultiplication(const long& number)
{
if( IsFibonacciNumber(number) )
{
return true;
}
long numberLimit = sqrt(number) + 1;
size_t fiboVecSize = _fiboVec.size();
for(int i = 3; i<fiboVecSize; ++i)
{
long& elem = _fiboVec[i];
if(elem > numberLimit)
break;
if(number % elem != 0)
continue;
long div = number / elem;
if(IsFibonacciNumber(div))
{
return true;
}
}
return false;
}
private:
bool IsFibonacciNumber(const long& number)
{
return _fiboHashSet.find(number) != _fiboHashSet.end();
}
private:
std::vector<long> _fiboVec;
std::unordered_set<long> _fiboHashSet;
};
int main()
{
FibonacciMultiplicationValidator validator;
int t;
std::cin >> t;
long n;
for(int i = 0; i < t; ++i)
{
std::cin >> n;
std::string res = validator.IsMultiplication(n) ? "TAK" : "NIE";
std::cout << res.c_str() << std::endl;
}
}
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 | #include <iostream> #include <unordered_set> #include <vector> #include <iterator> #include <cmath> #include <string> class FibonacciMultiplicationValidator { public: FibonacciMultiplicationValidator() { const long FibonacciNumbers[] = { 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170 }; _fiboVec = std::vector<long>(std::begin(FibonacciNumbers), std::end(FibonacciNumbers)); _fiboHashSet = std::unordered_set<long>(std::begin(FibonacciNumbers), std::end(FibonacciNumbers)); } bool IsMultiplication(const long& number) { if( IsFibonacciNumber(number) ) { return true; } long numberLimit = sqrt(number) + 1; size_t fiboVecSize = _fiboVec.size(); for(int i = 3; i<fiboVecSize; ++i) { long& elem = _fiboVec[i]; if(elem > numberLimit) break; if(number % elem != 0) continue; long div = number / elem; if(IsFibonacciNumber(div)) { return true; } } return false; } private: bool IsFibonacciNumber(const long& number) { return _fiboHashSet.find(number) != _fiboHashSet.end(); } private: std::vector<long> _fiboVec; std::unordered_set<long> _fiboHashSet; }; int main() { FibonacciMultiplicationValidator validator; int t; std::cin >> t; long n; for(int i = 0; i < t; ++i) { std::cin >> n; std::string res = validator.IsMultiplication(n) ? "TAK" : "NIE"; std::cout << res.c_str() << std::endl; } } |
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