結果

問題 No.1653 Squarefree
ユーザー iiljjiiljj
提出日時 2021-08-21 16:36:48
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 337 ms / 2,000 ms
コード長 11,300 bytes
コンパイル時間 1,524 ms
コンパイル使用メモリ 142,412 KB
実行使用メモリ 11,852 KB
最終ジャッジ日時 2024-10-15 07:18:40
合計ジャッジ時間 10,999 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 319 ms
11,852 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 2 ms
5,248 KB
testcase_04 AC 2 ms
5,248 KB
testcase_05 AC 2 ms
5,248 KB
testcase_06 AC 2 ms
5,248 KB
testcase_07 AC 2 ms
5,248 KB
testcase_08 AC 2 ms
5,248 KB
testcase_09 AC 2 ms
5,248 KB
testcase_10 AC 2 ms
5,248 KB
testcase_11 AC 129 ms
10,880 KB
testcase_12 AC 128 ms
11,008 KB
testcase_13 AC 319 ms
11,848 KB
testcase_14 AC 309 ms
11,844 KB
testcase_15 AC 321 ms
11,844 KB
testcase_16 AC 315 ms
11,716 KB
testcase_17 AC 312 ms
11,716 KB
testcase_18 AC 325 ms
11,780 KB
testcase_19 AC 317 ms
11,816 KB
testcase_20 AC 315 ms
11,844 KB
testcase_21 AC 322 ms
11,844 KB
testcase_22 AC 321 ms
11,848 KB
testcase_23 AC 318 ms
11,712 KB
testcase_24 AC 320 ms
11,804 KB
testcase_25 AC 321 ms
11,712 KB
testcase_26 AC 322 ms
11,696 KB
testcase_27 AC 318 ms
11,840 KB
testcase_28 AC 309 ms
11,684 KB
testcase_29 AC 311 ms
11,716 KB
testcase_30 AC 316 ms
11,804 KB
testcase_31 AC 316 ms
11,720 KB
testcase_32 AC 337 ms
11,716 KB
testcase_33 AC 316 ms
11,716 KB
testcase_34 AC 313 ms
11,848 KB
testcase_35 AC 326 ms
11,720 KB
testcase_36 AC 8 ms
5,424 KB
testcase_37 AC 8 ms
5,552 KB
testcase_38 AC 8 ms
5,424 KB
testcase_39 AC 8 ms
5,424 KB
testcase_40 AC 8 ms
5,428 KB
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 # 

/* #region Head */

// #include <bits/stdc++.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert> // assert.h
#include <cmath>   // math.h
#include <cstring>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;

#define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i))
#define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i))
#define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i))
#define TREPD(T, i, m, n, d) for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d))
#define TREPMD(T, i, m, n, d) for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d))

#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c)                                                                                                        \
    sort(ALL(c));                                                                                                      \
    for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());
#define CEIL(a, b) (((a) + (b)-1) / (b))

#define endl '\n'

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr int IINF = 1'000'000'007LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
// constexpr ll MOD = 998244353;
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;

template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
    for (T &x : vec) is >> x;
    return is;
}
template <typename T> ostream &operator<<(ostream &os, const vc<T> &vec) { // vector 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}
template <typename T> ostream &operator>>(ostream &os, const vc<T> &vec) { // vector 出力 (inline)
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
    return os;
}

template <typename T, size_t _Nm> istream &operator>>(istream &is, array<T, _Nm> &arr) { // array 入力
    REP(i, 0, SIZE(arr)) is >> arr[i];
    return is;
}
template <typename T, size_t _Nm> ostream &operator<<(ostream &os, const array<T, _Nm> &arr) { // array 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}

template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
    is >> pair_var.first >> pair_var.second;
    return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &pair_var) { // pair 出力
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, const T &map_var) {
    os << "{";
    REPI(itr, map_var) {
        os << *itr;
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &map_var) {
    return out_iter(os, map_var);
}
template <typename T, typename U> ostream &operator<<(ostream &os, const um<T, U> &map_var) {
    os << "{";
    REPI(itr, map_var) {
        auto [key, value] = *itr;
        os << "(" << key << ", " << value << ")";
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    os << "}";
    return os;
}
template <typename T> ostream &operator<<(ostream &os, const set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const pq<T> &pq_var) {
    pq<T> pq_cp(pq_var);
    os << "{";
    if (!pq_cp.empty()) {
        os << pq_cp.top(), pq_cp.pop();
        while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
    }
    return os << "}";
}

// tuple 出力
template <size_t N = 0, bool end_line = false, typename... Args> ostream &operator<<(ostream &os, tuple<Args...> &a) {
    if constexpr (N < std::tuple_size_v<tuple<Args...>>) {
        os << get<N>(a);
        if constexpr (N + 1 < std::tuple_size_v<tuple<Args...>>) {
            os << ' ';
        } else if constexpr (end_line) {
            os << '\n';
        }
        return operator<<<N + 1, end_line>(os, a);
    }
    return os;
}
template <typename... Args> void print_tuple(tuple<Args...> &a) { operator<<<0, true>(cout, a); }

void pprint() { cout << endl; }
template <class Head, class... Tail> void pprint(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail) > 0) cout << ' ';
    pprint(move(tail)...);
}

// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&...tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(move(tail)...);
}

// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
    if (comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
    if (comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

// ローカル用
#ifndef ONLINE_JUDGE
#define DEBUG_
#endif

#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                                      \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                                    \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                                        \
            << "    ",                                                                                                 \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

#define VAR(type, ...)                                                                                                 \
    type __VA_ARGS__;                                                                                                  \
    cin >> __VA_ARGS__;

template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; }
template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; }

struct AtCoderInitialize {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;
    AtCoderInitialize() {
        ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
        cout << fixed << setprecision(IOS_PREC);
        if (AUTOFLUSH) cout << unitbuf;
    }
} ATCODER_INITIALIZE;

void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }

/* #endregion */

// #include <atcoder/all>
// using namespace atcoder;

template <typename T = ll> vc<T> get_primes_eratosthenes(T n) {
    vc<char> iscomposite(n + 1, 0); // 合成数だとフラグが立つ
    vc<T> res;
    REPM(i, 2, n) {
        if (iscomposite[i]) continue;
        res.emplace_back(i);
        REPMD(j, i * i, n, i) iscomposite[j] = 1;
    }
    return res;
}

unsigned long long int_sqrt(unsigned long long s) {
    unsigned long long x0 = s >> 1; // Initial estimate
    if (!x0) return s;              // Sanity check

    unsigned long long x1 = (x0 + s / x0) >> 1; // Update
    while (x1 < x0) {                           // This also checks for cycle
        x0 = x1;
        x1 = (x0 + s / x0) >> 1;
    }
    return x0;
}

template <class tProposition, typename T = ll> T binarySearchIntMax(T left, T right, tProposition p) {
    if (right < left) return -1;
    T mid;
    while (left + 1 < right) {
        mid = (left + right) / 2;
        if (p(mid))
            left = mid;
        else // fn > 0
            right = mid - 1;
    }

    if (p(right))
        return right;
    else if (p(left))
        return left;
    else
        return -1;
}

template <typename T = ll> T powll(T n, T t) {
    if (!t) return 1;
    T a = powll(n, t >> 1); // ⌊t/2⌋ 乗
    a *= a;                 // ⌊t/2⌋*2 乗
    if (t & 1)              // ⌊t/2⌋*2 == t-1 のとき
        a *= n;             // ⌊t/2⌋*2+1 乗 => t 乗
    return a;
}

template <typename T = ll> T powll(T a, T b, T c, T d) {
    T ma = powl((ld)a / b, (ld)c / d) * 2;
    return binarySearchIntMax((T)0, ma, [&](T mid) { return powll(a, c) >= powll(mid, d) * powll(b, c); });
}

// Problem
void solve() {
    VAR(ll, L, R); //

    ll M = powll<ll>(R, 1, 1, 3);
    vll primes = get_primes_eratosthenes(M);
    vll values(R - L + 1);
    REP(i, 0, R - L + 1) {
        ll v = L + i;
        values[i] = v;
    }

    for (auto p : primes) {
        REPMD(j, CEIL(L, p) * p, R, p) {
            if (values[j - L] == -1) continue;
            int cnt = 0;
            while (values[j - L] % p == 0 && cnt < 2) {
                cnt++, values[j - L] /= p;
            }
            if (cnt >= 2) {
                // 素数 p で2回以上割れたので，平方数で割れることになる．
                // square-free ではないので除外する．
                values[j - L] = -1;
            }
        }
    }

    // 平方数判定
    int ans = 0;
    REP(i, 0, R - L + 1) {
        if (values[i] == -1) continue;
        if (values[i] > 1) {
            // 平方数なら除外する
            ll s = int_sqrt(values[i]);
            if (s * s == values[i]) {
                values[i] = -1;
                continue;
            }
        }
        ans++;
    }
    pprint(ans);
}

// entry point
int main() {
    solve();
    return 0;
}
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