#include <iostream>
#include <algorithm>
#include <cassert>
#include <cstdint>
#include <array>
using namespace std;
inline uint32_t findMaxPowerOfTwo(uint64_t n) {
assert(n % 2 == 0);
uint32_t result = 0;
while (((n >> result) & 1) == 0)
++result;
return result;
}
uint64_t fastPow(const uint64_t value, const uint32_t power) {
if (power == 1)
return value;
else if ((power % 2) == 1)
return value * fastPow(value, power - 1);
else {
const uint64_t subResult = fastPow(value, power / 2);
return subResult * subResult;
}
}
uint64_t fastPowModulo(const uint64_t value, const uint32_t power, const uint64_t modulo) {
if (power == 0)
return 1;
else if (power == 1)
return value % modulo;
else if ((power % 2) == 1)
return (value * fastPow(value, power - 1)) % modulo;
else {
const uint64_t subResult = fastPow(value, power / 2);
return (subResult * subResult) % modulo;
}
}
bool isAnyModAligned(const uint64_t n, const uint32_t a, const uint32_t s, const uint64_t rest) {
for (uint32_t i = 0; i < s; ++i) {
if (fastPowModulo(a, (1 << i) * rest, n) == n - 1)
return false;
}
return true;
}
inline bool isPrime(const uint64_t n) {
const uint32_t precision = 7;
if (n % 2 == 0)
return n == 2;
const uint32_t maxPowerOfTwo = findMaxPowerOfTwo(n - 1);
const uint64_t rest = n / (1 << static_cast<uint64_t>(maxPowerOfTwo));
const uint32_t aValues[] = {2, 3, 5, 7, 11, 13, 17};
for (uint32_t i = 0; i < precision; ++i) {
assert(i < sizeof(aValues) / sizeof(aValues[0]));
const uint32_t a = aValues[i];
if (fastPow(a, rest) % n != 1 && isAnyModAligned(n, a, maxPowerOfTwo, rest))
return false;
}
return true;
}
int main(int, char *[]) {
ios_base::sync_with_stdio(false);
uint64_t in;
cin >> in;
uint64_t a = in / 10, b = in % 10;
uint64_t power = 10;
while (a != 0) {
if (a * power + b == in) {
if (isPrime(a) && isPrime(b)) {
cout << "TAK" << endl;
return 0;
}
}
b += (a % 10) * power;
a /= 10;
power *= 10;
}
cout << "NIE" << 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 80 81 82 83 84 85 86 87 88 89 90 91 92 93 | #include <iostream> #include <algorithm> #include <cassert> #include <cstdint> #include <array> using namespace std; inline uint32_t findMaxPowerOfTwo(uint64_t n) { assert(n % 2 == 0); uint32_t result = 0; while (((n >> result) & 1) == 0) ++result; return result; } uint64_t fastPow(const uint64_t value, const uint32_t power) { if (power == 1) return value; else if ((power % 2) == 1) return value * fastPow(value, power - 1); else { const uint64_t subResult = fastPow(value, power / 2); return subResult * subResult; } } uint64_t fastPowModulo(const uint64_t value, const uint32_t power, const uint64_t modulo) { if (power == 0) return 1; else if (power == 1) return value % modulo; else if ((power % 2) == 1) return (value * fastPow(value, power - 1)) % modulo; else { const uint64_t subResult = fastPow(value, power / 2); return (subResult * subResult) % modulo; } } bool isAnyModAligned(const uint64_t n, const uint32_t a, const uint32_t s, const uint64_t rest) { for (uint32_t i = 0; i < s; ++i) { if (fastPowModulo(a, (1 << i) * rest, n) == n - 1) return false; } return true; } inline bool isPrime(const uint64_t n) { const uint32_t precision = 7; if (n % 2 == 0) return n == 2; const uint32_t maxPowerOfTwo = findMaxPowerOfTwo(n - 1); const uint64_t rest = n / (1 << static_cast<uint64_t>(maxPowerOfTwo)); const uint32_t aValues[] = {2, 3, 5, 7, 11, 13, 17}; for (uint32_t i = 0; i < precision; ++i) { assert(i < sizeof(aValues) / sizeof(aValues[0])); const uint32_t a = aValues[i]; if (fastPow(a, rest) % n != 1 && isAnyModAligned(n, a, maxPowerOfTwo, rest)) return false; } return true; } int main(int, char *[]) { ios_base::sync_with_stdio(false); uint64_t in; cin >> in; uint64_t a = in / 10, b = in % 10; uint64_t power = 10; while (a != 0) { if (a * power + b == in) { if (isPrime(a) && isPrime(b)) { cout << "TAK" << endl; return 0; } } b += (a % 10) * power; a /= 10; power *= 10; } cout << "NIE" << endl; } |
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