結果

問題 No.1006 Share an Integer
ユーザー penguin8331
提出日時 2022-12-05 19:20:00
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 929 ms / 2,000 ms
コード長 8,647 bytes
コンパイル時間 5,618 ms
コンパイル使用メモリ 396,200 KB
実行使用メモリ 93,800 KB
最終ジャッジ日時 2024-10-12 16:29:51
合計ジャッジ時間 14,760 ms
ジャッジサーバーID
（参考情報） 		judge / judge5
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ファイルパターン 結果
sample AC * 3
other AC * 19
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ソースコード

diff # 

#pragma region KCLC
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
using Bint = boost::multiprecision::cpp_int;
using Real = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<1024>>;
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define elif else if
#define updiv(N, X) (N + X - 1) / X
#ifdef LOCAL
#include "debug.hpp"
#else
#define debug(...)
#endif
struct fast_ios {
    fast_ios() {
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
    };
} fast_ios_;
template <typename T>
inline bool chmax(T& a, T b) { return ((a < b) ? (a = b, true) : (false)); }
template <typename T>
inline bool chmin(T& a, T b) { return ((a > b) ? (a = b, true) : (false)); }

struct UnionFind {
    vector<int> par;

    UnionFind() {}
    UnionFind(int n) : par(n, -1) {}
    void init(int n) { par.assign(n, -1); }

    int root(int x) {
        if (par[x] < 0)
            return x;
        else
            return par[x] = root(par[x]);
    }

    bool issame(int x, int y) {
        return root(x) == root(y);
    }

    bool merge(int x, int y) {
        x = root(x);
        y = root(y);
        if (x == y) return false;
        if (par[x] > par[y]) swap(x, y);  // merge technique
        par[x] += par[y];
        par[y] = x;
        return true;
    }

    int size(int x) {
        return -par[root(x)];
    }

    vector<vector<int>> groups() {
        map<int, vector<int>> root_buf;
        for (int i = 0; i < par.size(); ++i) {
            int r = root(i);
            root_buf[r].push_back(i);
        }
        vector<vector<int>> res;
        for (const auto& i : root_buf) {
            res.push_back(i.second);
        }
        return res;
    }
};

template <int MOD>
struct Fp {
    long long val;
    constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
        if (val < 0) val += MOD;
    }
    constexpr int getmod() const { return MOD; }
    constexpr Fp operator-() const noexcept {
        return val ? MOD - val : 0;
    }
    constexpr Fp operator+(const Fp& r) const noexcept { return Fp(*this) += r; }
    constexpr Fp operator-(const Fp& r) const noexcept { return Fp(*this) -= r; }
    constexpr Fp operator*(const Fp& r) const noexcept { return Fp(*this) *= r; }
    constexpr Fp operator/(const Fp& r) const noexcept { return Fp(*this) /= r; }
    constexpr Fp& operator+=(const Fp& r) noexcept {
        val += r.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr Fp& operator-=(const Fp& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr Fp& operator*=(const Fp& r) noexcept {
        val = val * r.val % MOD;
        return *this;
    }
    constexpr Fp& operator/=(const Fp& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr bool operator==(const Fp& r) const noexcept {
        return this->val == r.val;
    }
    constexpr bool operator!=(const Fp& r) const noexcept {
        return this->val != r.val;
    }
    friend constexpr istream& operator>>(istream& is, Fp<MOD>& x) noexcept {
        is >> x.val;
        x.val %= MOD;
        if (x.val < 0) x.val += MOD;
        return is;
    }
    friend constexpr ostream& operator<<(ostream& os, const Fp<MOD>& x) noexcept {
        return os << x.val;
    }
    friend constexpr Fp<MOD> modpow(const Fp<MOD>& r, long long n) noexcept {
        if (n == 0) return 1;
        if (n < 0) return modpow(modinv(r), -n);
        auto t = modpow(r, n / 2);
        t = t * t;
        if (n & 1) t = t * r;
        return t;
    }
    friend constexpr Fp<MOD> modinv(const Fp<MOD>& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        return Fp<MOD>(u);
    }
};

template <class T>
struct BiCoef {
    vector<T> fact_, inv_, finv_;
    constexpr BiCoef() {}
    constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
        init(n);
    }
    constexpr void init(int n) noexcept {
        fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
        int MOD = fact_[0].getmod();
        for (int i = 2; i < n; i++) {
            fact_[i] = fact_[i - 1] * i;
            inv_[i] = -inv_[MOD % i] * (MOD / i);
            finv_[i] = finv_[i - 1] * inv_[i];
        }
    }
    constexpr T com(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact_[n] * finv_[k] * finv_[n - k];
    }
    constexpr T fact(int n) const noexcept {
        if (n < 0) return 0;
        return fact_[n];
    }
    constexpr T inv(int n) const noexcept {
        if (n < 0) return 0;
        return inv_[n];
    }
    constexpr T finv(int n) const noexcept {
        if (n < 0) return 0;
        return finv_[n];
    }
};

long long mypow(long long a, long long n) {
    long long res = 1;
    while (n > 0) {
        if (n & 1) res = res * a;
        a = a * a;
        n >>= 1;
    }
    return res;
}

long long modpow(long long a, long long n, long long mod) {
    long long res = 1;
    while (n > 0) {
        if (n & 1) res = res * a % mod;
        a = a * a % mod;
        n >>= 1;
    }
    return res;
}

long double dis(pair<long long, long long> a, pair<long long, long long> b) {
    return sqrt(mypow(a.first - b.first, 2) + mypow(a.second - b.second, 2));
}
#pragma endregion KCLC
//----------------------------------------------------------------------------
const int inf = 1 << 30;
const ll INF = 1LL << 60;
const int dx[] = {1, 0, -1, 0, 1, -1, 1, -1};
const int dy[] = {0, 1, 0, -1, 1, 1, -1, -1};
const int mod = 998244353;
// const int mod = 1e9 + 7;
using mint = Fp<mod>;
BiCoef<mint> bc;

struct Eratos {
    vector<int> primes;
    vector<bool> isprime;
    vector<int> mebius;
    vector<int> min_factor;

    Eratos(int MAX) : primes(),
                      isprime(MAX + 1, true),
                      mebius(MAX + 1, 1),
                      min_factor(MAX + 1, -1) {
        isprime[0] = isprime[1] = false;
        min_factor[0] = 0, min_factor[1] = 1;
        for (int i = 2; i <= MAX; ++i) {
            if (!isprime[i]) continue;
            primes.push_back(i);
            mebius[i] = -1;
            min_factor[i] = i;
            for (int j = i * 2; j <= MAX; j += i) {
                isprime[j] = false;
                if ((j / i) % i == 0)
                    mebius[j] = 0;
                else
                    mebius[j] = -mebius[j];
                if (min_factor[j] == -1) min_factor[j] = i;
            }
        }
    }

    // 素因数分解
    vector<pair<int, int>> prime_factors(int n) {
        vector<pair<int, int>> res;
        while (n != 1) {
            int prime = min_factor[n];
            int exp = 0;
            while (min_factor[n] == prime) {
                ++exp;
                n /= prime;
            }
            res.push_back(make_pair(prime, exp));
        }
        return res;
    }

    // 約数列挙
    vector<int> divisors(int n) {
        vector<int> res({1});
        auto pf = prime_factors(n);
        for (auto p : pf) {
            int siz = (int)res.size();
            for (int i = 0; i < siz; ++i) {
                int v = 1;
                for (int j = 0; j < p.second; ++j) {
                    v *= p.first;
                    res.push_back(res[i] * v);
                }
            }
        }
        return res;
    }

    // 約数個数
    int divisors_num(int n) {
        int res = 1;
        auto pf = prime_factors(n);
        for (auto p : pf) {
            res *= p.second + 1;
        }
        return res;
    }
};
int main() {
    int X;
    cin>>X;
    Eratos era(X);
    map<int,vector<int>>m;
    for(int i=1;i<X;i++){
        int j=X-i;
        m[abs((i-era.divisors_num(i))-(j-era.divisors_num(j)))].pb(i);
    }
    auto it=(*m.begin()).second;
    for(int i=0;i<it.size();i++){
        cout<<it[i]<<" "<<(X-it[i])<<endl;
    }
}
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