結果
| 問題 |
No.843 Triple Primes
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2019-06-28 21:33:15 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 10 ms / 2,000 ms |
| コード長 | 5,336 bytes |
| コンパイル時間 | 2,243 ms |
| コンパイル使用メモリ | 194,728 KB |
| 最終ジャッジ日時 | 2025-01-07 05:24:40 |
|
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 42 |
ソースコード
#include <bits/stdc++.h>
#pragma GCC diagnostic ignored "-Wsign-compare"
#pragma GCC diagnostic ignored "-Wsign-conversion"
#define NDEBUG
#define SHOW(...) static_cast<void>(0)
//!===========================================================!//
//! dP dP dP !//
//! 88 88 88 !//
//! 88aaaaa88a .d8888b. .d8888b. .d888b88 .d8888b. 88d888b. !//
//! 88 88 88ooood8 88' '88 88' '88 88ooood8 88' '88 !//
//! 88 88 88. ... 88. .88 88. .88 88. ... 88 !//
//! dP dP '88888P' '88888P8 '88888P8 '88888P' dP !//
//!===========================================================!//
template <typename T>
T read()
{
T v;
return std::cin >> v, v;
}
template <typename T>
std::vector<T> readVec(const std::size_t l)
{
std::vector<T> v(l);
for (auto& e : v) { std::cin >> e; }
return v;
}
using ld = long double;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
constexpr unsigned int MOD = 1000000007;
template <typename T>
constexpr T INF = std::numeric_limits<T>::max() / 4;
template <typename F>
constexpr F PI = static_cast<F>(3.1415926535897932385);
std::mt19937 mt{std::random_device{}()};
template <typename T>
bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template <typename T>
bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
template <typename T>
std::vector<T> Vec(const std::size_t n, T v) { return std::vector<T>(n, v); }
template <class... Args>
auto Vec(const std::size_t n, Args... args) { return std::vector<decltype(Vec(args...))>(n, Vec(args...)); }
template <typename T>
constexpr T popCount(const T u)
{
#ifdef __has_builtin
return u == 0 ? T(0) : (T)__builtin_popcountll(u);
#else
unsigned long long v = static_cast<unsigned long long>(u);
return v = (v & 0x5555555555555555ULL) + (v >> 1 & 0x5555555555555555ULL), v = (v & 0x3333333333333333ULL) + (v >> 2 & 0x3333333333333333ULL), v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0FULL, static_cast<T>(v * 0x0101010101010101ULL >> 56 & 0x7f);
#endif
}
template <typename T>
constexpr T log2p1(const T u)
{
#ifdef __has_builtin
return u == 0 ? T(0) : T(64 - __builtin_clzll(u));
#else
unsigned long long v = static_cast<unsigned long long>(u);
return v = static_cast<unsigned long long>(v), v |= (v >> 1), v |= (v >> 2), v |= (v >> 4), v |= (v >> 8), v |= (v >> 16), v |= (v >> 32), popCount(v);
#endif
}
template <typename T>
constexpr T clog(const T v) { return v == 0 ? T(0) : log2p1(v - 1); }
template <typename T>
constexpr T msbp1(const T v) { return log2p1(v); }
template <typename T>
constexpr T lsbp1(const T v)
{
#ifdef __has_builtin
return __builtin_ffsll(v);
#else
return v == 0 ? T(0) : popCount((v & (-v)) - T(1)) + T(1);
#endif
}
template <typename T>
constexpr bool ispow2(const T v) { return popCount(v) == 1; }
template <typename T>
constexpr T ceil2(const T v) { return v == 0 ? T(1) : T(1) << log2p1(v - 1); }
template <typename T>
constexpr T floor2(const T v) { return v == 0 ? T(0) : T(1) << (log2p1(v) - 1); }
//!=============================================================!//
//! dP 888888ba oo !//
//! 88 88 '8b !//
//! 88 .d8888b. a88aaaa8P' 88d888b. dP 88d8b.d8b. .d8888b. !//
//! 88 Y8ooooo. 88 88' '88 88 88''88''88 88ooood8 !//
//! 88 88 88 88 88 88 88 88 88. ... !//
//! dP '88888P' dP dP dP dP dP dP '88888P' !//
//!=============================================================!//
template <typename T>
bool isPrime(const T n)
{
if (n == 1) { return true; }
for (T i = 2; i * i <= n; i++) {
if (n % i == 0) { return false; }
}
return true;
}
//!=======================================================================================!//
//! 888888ba oo d888888P dP dP !//
//! 88 '8b 88 88 88 !//
//! a88aaaa8P' 88d888b. dP 88d8b.d8b. .d8888b. 88 .d8888b. 88d888b. 88 .d8888b. !//
//! 88 88' '88 88 88''88''88 88ooood8 88 88' '88 88' '88 88 88ooood8 !//
//! 88 88 88 88 88 88 88. ... 88 88. .88 88. .88 88 88. ... !//
//! dP dP dP dP dP dP '88888P' dP '88888P8 88Y8888' dP '88888P' !//
//!=======================================================================================!//
std::vector<std::size_t> PrimeTable(const std::size_t max)
{
std::vector<std::size_t> fact(max + 1);
std::iota(fact.begin(), fact.end(), 0);
for (std::size_t i = 2; i <= max; i++) {
if (fact[i] != i) { continue; }
for (std::size_t j = 2; i * j <= max; j++) { fact[i * j] = i; }
}
return fact;
}
int main()
{
const int N = read<int>();
if (N == 1) { return std::cout << 0 << std::endl, 0; }
const auto isp = PrimeTable(N);
int ans = 1;
for (int p = 3; p * p - 2 <= N; p++) {
if (isp[p] != p) { continue; }
const ll qq = (ll)p * (ll)p - 2LL;
if (isPrime(qq)) { ans += 2; }
}
std::cout << ans << std::endl;
return 0;
}