結果

問題 No.3101 Range Eratosthenes Query
ユーザー mihhiael
提出日時 2025-04-11 23:19:33
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,463 ms / 3,000 ms
コード長 7,694 bytes
コンパイル時間 2,429 ms
コンパイル使用メモリ 180,140 KB
実行使用メモリ 148,652 KB
最終ジャッジ日時 2025-04-11 23:20:18
合計ジャッジ時間 25,326 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 24
権限があれば一括ダウンロードができます

ソースコード

diff # 

#if __has_include("all.h")
#include "all.h"
#else
// necessary for snippet
#include <algorithm>
#include <concepts>
#include <cstdint>
#include <ios>
#include <iostream>
#include <istream>
#include <limits>
#include <ostream>
#include <queue>
#include <random>
#include <ranges>
#include <set>
#include <stdexcept>
#include <string>
#include <type_traits>
#include <utility>
#include <vector>
#include <atcoder/modint.hpp>
// often use
#include <map>
#endif

#include <atcoder/fenwicktree.hpp>

inline namespace {

using namespace std;
using ll = long long;
using pall = pair<ll, ll>;
template<class T> using vec = vector<T>;
template<class T> using veve = vec<vec<T>>;
using vell = vec<ll>;
using vest = vec<string>;
using vebo = basic_string<bool>;
using vevell = veve<ll>;
template<class T> using mset = multiset<T>;
template<class T> using priority_queue_ascend = priority_queue<T, vec<T>, decltype([](const T a, const T b) { return a > b; })>;
const ll inf = numeric_limits<ll>::max();
const string sp = " ";
const string lf = "\n";
const auto &npos = string::npos;
const vec<pall> grid_move4 = {
	{0, 1},
	{-1, 0},
	{0, -1},
	{1, 0}
};
const vec<pall> grid_move8 = [] {
	auto ret = grid_move4;
	ret.insert(ret.end(), {
		{-1, 1},
		{-1, -1},
		{1, -1},
		{1, 1}
	});
	return ret;
}();
constexpr ll MOD = 998244353;
// constexpr ll MOD = 1e9 + 7;
#define cont continue
#define br break
#define auot auto
#define whlie while
auto &ciN = cin;
auto &icn = cin;
auto &icN = cin;
constexpr bool ture = true;

using namespace atcoder;
using mint = static_modint<MOD>;

#define times(N) static_assert(is_integral_v<decltype((N) + 0)>, "times(): N must be integral"); for(typedef decltype((N) + 0) _int; [[maybe_unused]] const _int _i: views::iota((_int)0, (N)))
#define tiems times

template<int M>
istream &operator>>(istream &in, static_modint<M> &i) {
	intmax_t tmp;
	in >> tmp;
	i = tmp;
	return in;
}
template<int M>
ostream &operator<<(ostream &out, const static_modint<M> &i) {
	return out << i.val();
}

template<class T, class U>
istream &operator>>(istream &in, pair<T, U> &p) {
	return in >> p.first >> p.second;
}
template<class T, class U>
ostream &operator<<(ostream &out, const pair<T, U> &p) {
	return out << p.first << sp << p.second;
}

template<class T>
istream &operator>>(istream &in, vec<T> &v) {
	for(auto &&e: v) {
		in >> e;
	}
	return in;
}

namespace myinput {
	template<class... Ts>
	istream &in(Ts&... vecs) {
		static_assert(sizeof...(vecs) != 0, "myfunc::in(): At least one vector must be provided");
		const set sizes = { vecs.size()... };
		if(sizes.size() > 1) {
			throw invalid_argument("myfunc::in(): All vectors must have the same size");
		}
		times(*sizes.begin()) {
			((cin >> vecs[_i]), ...);
		}
		return cin;
	}
}
using myinput::in;

ostream &out(const ranges::range auto &v, const string &delim, ostream &out = cout) {
	for(const auto &e: v) {
		out << e << delim;
	}
	return out;
}

[[nodiscard]] const string &yesno(const bool cond, const string &yes = "Yes", const string &no = "No") noexcept {
	if(cond) return yes;
	return no;
}

// [mi, ma)
[[nodiscard]] uint64_t randint(const uint64_t mi, const uint64_t ma) noexcept {
	static random_device seed;
	static mt19937_64 mt(seed());
	if(mi > ma) [[unlikely]] return randint(ma, mi);
	if(mi == ma) [[unlikely]] return mi;
	const uint64_t w = ma - mi;
	uint64_t r;
	do {
		r = mt();
	} while(mt.max() - mt.max() % w <= r);
	return r % w + mi;
}

template<class T, class U>
requires common_with<T, U>
[[nodiscard]] constexpr auto min(T &&a, U &&b) noexcept {
	return std::min<common_type_t<T, U>>(std::forward<T>(a), std::forward<U>(b));
}
template<class T, class U>
requires common_with<T, U>
[[nodiscard]] constexpr auto max(T &&a, U &&b) noexcept {
	return std::max<common_type_t<T, U>>(std::forward<T>(a), std::forward<U>(b));
}

template<class T>
[[nodiscard]] const T &min(const vec<T> &v) {
	return *ranges::min_element(v);
}
template<class T>
[[nodiscard]] const T &max(const vec<T> &v) {
	return *ranges::max_element(v);
}
template<class... Args>
[[nodiscard]] auto reduce(const ranges::range auto &v, Args... args) {
	return reduce(v.begin(), v.end(), args...);
}

[[nodiscard]] constexpr ll powll(ll a, ll b, const ll m = inf) {
	if(b < 0) [[unlikely]] throw invalid_argument("powll(): exponent less than zero");
	if(m < 1) [[unlikely]] throw invalid_argument("powll(): modulo less than one");
	a %= m;
	ll ret = 1;
	while(b) {
		if(b % 2) ret *= a, ret %= m;
		a *= a, a %= m;
		b /= 2;
	}
	return ret;
}

template<class T, class U>
requires assignable_from<T&, U> && totally_ordered_with<T, U>
bool mini(T &var, U &&val) noexcept {
	const bool cmp = var > val;
	if(cmp) var = val;
	return cmp;
}
template<class T, class U>
requires assignable_from<T&, U> && totally_ordered_with<T, U>
bool maxi(T &var, U &&val) noexcept {
	const bool cmp = var < val;
	if(cmp) var = val;
	return cmp;
}

namespace myclass {
	class [[nodiscard]] grid_base {
		public:
		grid_base(const ll h, const ll w) noexcept : height(h), width(w) {}

		[[nodiscard]] ll operator()(const ll i, const ll j) const noexcept {
			if(!isvalid(i, j)) return -1;
			return i * width + j;
		}

		[[nodiscard]] ll operator()(const pall &p) const noexcept {
			return (*this)(p.first, p.second);
		}

		protected:
		bool isvalid(const ll i, const ll j) const noexcept {
			return 0 <= i && 0 <= j && i < height && j < width;
		}
		const ll height, width;
	};

	class [[nodiscard]] grid_seen : public myclass::grid_base {
		public:
		grid_seen(const ll h, const ll w) : grid_base(h, w) {
			visited = vebo(h * w, false);
		}

		[[nodiscard]] bool &seen(const ll i, const ll j) & {
			if(!isvalid(i, j)) [[unlikely]] throw out_of_range("grid::seen(): out of range");
			return visited[i * width + j];
		}

		[[nodiscard]] bool &seen(const pall &p) & {
			return seen(p.first, p.second);
		}

		private:
		vebo visited;
	};
}

using grid_lite = myclass::grid_base;
using myclass::grid_seen;

template<convertible_to<ll> auto upper, class... Args>
constexpr auto grid(Args... args) {
	if constexpr (ll(upper) < ll(1e7)) {
		return grid_seen(args...);
	} else {
		return grid_lite(args...);
	}
}

template<class T>
auto erase_single(mset<T> &mset, T &&v) {
	const auto it = mset.find(v);
	if(it == mset.end()) [[unlikely]] throw invalid_argument("erase_single(): why v not in mset!?!?");
	return mset.erase(it);
}

}

void solve();

int main(void) {
	cin.tie(nullptr);
	ios::sync_with_stdio(false);
	solve();
	return 0;
}

// [1, n]の最小素因数(v[0] = 0, v[1] = 1), n以下の素数.
// O(n)
class linear_sieve {
	public:
	linear_sieve(const ll n) {
		minfactor.resize(n + 1, 0);
		minfactor[0] = 0;
		minfactor[1] = 1;
		primes.reserve(ll(n / log(n) * 1.15));
		for(ll i = 2;i <= n;i++) {
			if(!minfactor[i]) minfactor[i] = i, primes.push_back(i);

			for(size_t j = 0;j != primes.size() && primes[j] <= minfactor[i];j++) {
				if(i * primes[j] > n) break;
				minfactor[i * primes[j]] = primes[j];
			}
		}
	}

	vector<ll> minfactor, primes;
};

void solve() {
	ll q;
	cin >> q;
	const auto lpf = linear_sieve(1e6 + 9).minfactor;
	const vell v = [&] {
		vell v(lpf.size());
		times(v.size()) {
			if(!_i) cont;
			v[_i] = _i / lpf[_i];
		}
		v[1] = 0;
		return v;
	}();

	vec<pall> qs(q);
	cin >> qs;
	fenwick_tree<ll> t(1e6 + 9);
	map<ll, map<pall, ll>> m;
	for(const auto &[l, r]:qs) {
		m[l][{l, r + 1}] = 0;
		m[r + 1][{l, r + 1}] = 0;
	}
	for(intmax_t i=0;i<=intmax_t(v.size());i++) {
		for(const auot &[p, _]: m[i]) {
			m[i][p] = t.sum(p.first, p.second);
		}
		if(i == (ll)v.size()) br;
		t.add(v[i], 1);
	}
	for(const auto &[l, r]: qs) {
		cout << r - l + 1 - (m[r + 1][{l, r + 1}] - m[l][{l, r + 1}]) << lf;
	}
}
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