#980363 (C++17) No.2756 GCD Teleporter

• 問題: No.2756 GCD Teleporter
• ユーザー: 👑 Nachia
• 提出日時: 2024-05-10 21:35:49
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 65 ms / 2,000 ms
• コード長: 9,119 bytes
• コンパイル時間: 1,748 ms
• コンパイル使用メモリ: 119,692 KB
• 実行使用メモリ: 6,944 KB
• 最終ジャッジ日時: 2024-05-10 21:36:01
• 合計ジャッジ時間: 3,675 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 6,812 KB
testcase_01	AC	2 ms; 6,940 KB
testcase_02	AC	2 ms; 6,940 KB
testcase_03	AC	3 ms; 6,944 KB
testcase_04	AC	10 ms; 6,940 KB
testcase_05	AC	24 ms; 6,944 KB
testcase_06	AC	56 ms; 6,944 KB
testcase_07	AC	46 ms; 6,940 KB
testcase_08	AC	43 ms; 6,940 KB
testcase_09	AC	38 ms; 6,944 KB
testcase_10	AC	50 ms; 6,940 KB
testcase_11	AC	58 ms; 6,940 KB
testcase_12	AC	14 ms; 6,944 KB
testcase_13	AC	45 ms; 6,944 KB
testcase_14	AC	44 ms; 6,940 KB
testcase_15	AC	15 ms; 6,940 KB
testcase_16	AC	29 ms; 6,940 KB
testcase_17	AC	33 ms; 6,944 KB
testcase_18	AC	14 ms; 6,940 KB
testcase_19	AC	47 ms; 6,944 KB
testcase_20	AC	38 ms; 6,944 KB
testcase_21	AC	21 ms; 6,940 KB
testcase_22	AC	38 ms; 6,944 KB
testcase_23	AC	10 ms; 6,940 KB
testcase_24	AC	32 ms; 6,940 KB
testcase_25	AC	65 ms; 6,940 KB
testcase_26	AC	36 ms; 6,944 KB
testcase_27	AC	41 ms; 6,944 KB
testcase_28	AC	26 ms; 6,940 KB
testcase_29	AC	39 ms; 6,940 KB
testcase_30	AC	49 ms; 6,940 KB
testcase_31	AC	23 ms; 6,940 KB
testcase_32	AC	30 ms; 6,944 KB
testcase_33	AC	14 ms; 6,944 KB
testcase_34	AC	8 ms; 6,944 KB
testcase_35	AC	31 ms; 6,940 KB
testcase_36	AC	35 ms; 6,944 KB
testcase_37	AC	2 ms; 6,940 KB
testcase_38	AC	29 ms; 6,940 KB
testcase_39	AC	29 ms; 6,940 KB

ソースコード

#ifdef NACHIA
#define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#include <queue>
#include <array>
#include <cmath>
#include <atcoder/modint>
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(int i=0; i<int(n); i++)
#define repr(i,n) for(int i=int(n)-1; i>=0; i--)
const i64 INF = 1001001001001001001;
const char* yn(bool x){ return x ? "Yes" : "No"; }
template<typename A> void chmin(A& l, const A& r){ if(r < l) l = r; }
template<typename A> void chmax(A& l, const A& r){ if(l < r) l = r; }
template<typename A> using nega_queue = std::priority_queue<A,std::vector<A>,std::greater<A>>;
using Modint = atcoder::static_modint<998244353>;

#include <iterator>
#include <functional>

template<class Elem> struct vec;

template<class Iter>
struct seq_view{
    using Ref = typename std::iterator_traits<Iter>::reference;
    using Elem = typename std::iterator_traits<Iter>::value_type;
    Iter a, b;
    Iter begin() const { return a; }
    Iter end() const { return b; }
    int size() const { return (int)(b-a); }
    seq_view(Iter first, Iter last) : a(first), b(last) {}
    seq_view sort() const { std::sort(a, b); return *this; }
    Ref& operator[](int x){ return *(a+x); }
    template<class F = std::less<Elem>, class ret = vec<int>> ret sorti(F f = F()) const {
        ret x(size()); for(int i=0; i<size(); i++) x[i] = i;
        x().sort([&](int l, int r){ return f(a[l],a[r]); });
        return x;
    }
    template<class ret = vec<Elem>> ret col() const { return ret(begin(), end()); }
    template<class F = std::equal_to<Elem>, class ret = vec<std::pair<Elem, int>>>
    ret rle(F eq = F()) const {
        auto x = ret();
        for(auto& a : (*this)){
            if(x.size() == 0 || !eq(x[x.size()-1].first, a)) x.emp(a, 1); else x[x.size()-1].second++;
        } return x;
    }
    template<class F> seq_view sort(F f) const { std::sort(a, b, f); return *this; }
    Iter uni() const { return std::unique(a, b); }
    Iter lb(const Elem& x) const { return std::lower_bound(a, b, x); }
    Iter ub(const Elem& x) const { return std::upper_bound(a, b, x); }
    int lbi(const Elem& x) const { return lb(x) - a; }
    int ubi(const Elem& x) const { return ub(x) - a; }
    seq_view bound(const Elem& l, const Elem& r) const { return { lb(l), lb(r) }; }
    template<class F> Iter lb(const Elem& x, F f) const { return std::lower_bound(a, b, x, f); }
    template<class F> Iter ub(const Elem& x, F f) const { return std::upper_bound(a, b, x, f); }
    template<class F> Iter when_true_to_false(F f) const {
        if(a == b) return a;
        return std::lower_bound(a, b, *a,
            [&](const Elem& x, const Elem&){ return f(x); });
    }
    seq_view same(Elem x) const { return { lb(x), ub(x) }; }
    template<class F> auto map(F f) const {
        vec<typename Iter::value_type> r;
        for(auto& x : *this) r.emp(f(x));
        return r;
    }
    Iter max() const { return std::max_element(a, b); }
    Iter min() const { return std::min_element(a, b); }
    template<class F = std::less<Elem>>
    Iter min(F f) const { return std::min_element(a, b, f); }
    seq_view rev() const { std::reverse(a, b); return *this; }
};

template<class Elem>
struct vec {
    using Base = typename std::vector<Elem>;
    using Iter = typename Base::iterator;
    using CIter = typename Base::const_iterator;
    using View = seq_view<Iter>;
    using CView = seq_view<CIter>;

    vec(){}
    explicit vec(int n, const Elem& value = Elem()) : a(0<n?n:0, value) {}
    template <class I2> vec(I2 first, I2 last) : a(first, last) {}
    vec(std::initializer_list<Elem> il) : a(std::move(il)) {}
    vec(Base b) : a(std::move(b)) {}
    operator Base() const { return a; }

    Iter begin(){ return a.begin(); }
    CIter begin() const { return a.begin(); }
    Iter end(){ return a.end(); }
    CIter end() const { return a.end(); }
    int size() const { return a.size(); }
    bool empty() const { return a.empty(); }
    Elem& back(){ return a.back(); }
    const Elem& back() const { return a.back(); }
    vec sortunied(){ vec x = *this; x().sort(); x.a.erase(x().uni(), x.end()); return x; }
    Iter operator()(int x){ return a.begin() + x; }
    CIter operator()(int x) const { return a.begin() + x; }
    View operator()(int l, int r){ return { (*this)(l), (*this)(r) }; }
    CView operator()(int l, int r) const { return { (*this)(l), (*this)(r) }; }
    View operator()(){ return (*this)(0,size()); }
    CView operator()() const { return (*this)(0,size()); }
    Elem& operator[](int x){ return a[x]; }
    const Elem& operator[](int x) const { return a[x]; }
    Base& operator*(){ return a; }
    const Base& operator*() const { return a; }
    vec& push(Elem args){
        a.push_back(std::move(args));
        return *this;
    }
    template<class... Args>
    vec& emp(Args &&... args){
        a.emplace_back(std::forward<Args>(args) ...);
        return *this;
    }
    template<class Range>
    vec& app(Range& x){ for(auto& v : a) emp(v); }
    Elem pop(){
        Elem x = std::move(a.back());
        a.pop_back(); return x;
    }
    bool operator==(const vec& r) const { return a == r.a; }
    bool operator!=(const vec& r) const { return a != r.a; }
    bool operator<(const vec& r) const { return a < r.a; }
    bool operator<=(const vec& r) const { return a <= r.a; }
    bool operator>(const vec& r) const { return a > r.a; }
    bool operator>=(const vec& r) const { return a >= r.a; }
    vec<vec<Elem>> pile(int n) const { return vec<vec<Elem>>(n, *this); }
    template<class F> vec& filter(F f){
        int p = 0;
        for(int q=0; q<size(); q++) if(f(a[q])) std::swap(a[p++],a[q]);
        a.resize(p); return *this;
    }
private: Base a;
};

template<class IStr, class U, class T>
IStr& operator>>(IStr& is, vec<std::pair<U,T>>& v){ for(auto& x:v){ is >> x.first >> x.second; } return is; }
template<class IStr, class T>
IStr& operator>>(IStr& is, vec<T>& v){ for(auto& x:v){ is >> x; } return is; }
template<class OStr, class T>
OStr& operator<<(OStr& os, const vec<T>& v){
    for(int i=0; i<v.size(); i++){
        if(i){ os << ' '; } os << v[i];
    } return os;
}
template<class OStr, class U, class T>
OStr& operator<<(OStr& os, const vec<std::pair<U,T>>& v){
    for(int i=0; i<v.size(); i++){
        if(i){ os << ' '; } os << '(' << v[i].first << ',' << v[i].second << ')';
    } return os;
}

namespace nachia {

struct DsuListable{
private:
    std::vector<int> w;
    std::vector<int> sll;
public:
    DsuListable(int n = 0) : w(n, -1), sll(n) {
        for(int i=0; i<n; i++) sll[i] = i;
    }
    int leader(int u){
        if(w[u] < 0) return u;
        return w[u] = leader(w[u]);
    }
    int operator[](int u){ return leader(u); }
    int merge(int u, int v){
        u = leader(u);
        v = leader(v);
        if(u == v) return u;
        if(-w[u] < -w[v]) std::swap(u, v);
        w[u] += w[v];
        w[v] = u;
        std::swap(sll[u], sll[v]);
        return u;
    }
    int size(int u){ return -w[leader(u)]; }
    bool same(int u, int v){ return leader(u) == leader(v); }
    
    struct ElemEnum {
    struct Iter {
        const std::vector<int>::const_iterator beg;
        int s;
        int leftCount;
        int operator*() const { return s; }
        Iter& operator++(){
            s = beg[s]; leftCount--;
            return *this;
        }
        Iter operator++(int) const { auto a = *this; return ++a; }
        bool operator==(Iter& r) const { return leftCount == r.leftCount; }
        bool operator!=(Iter& r) const { return leftCount != r.leftCount; }
    };
        const std::vector<int>::const_iterator beg;
        int s;
        int sz;
        int size() const { return sz; }
        Iter begin() const { return { beg, s, sz }; }
        Iter end() const { return { beg, s, 0 }; }
    };
    ElemEnum list(int v){ return ElemEnum{ sll.begin(), v, size(v) }; }
};

} // namespace nachia
using namespace std;

void testcase(){
    int N; cin >> N;
    vec<int> A(N); cin >> A;
    A().sort();
    int Z = *A().max();
    auto dsu = nachia::DsuListable(N);
    vec<int> pos(Z+1, -1);
    rep(i,N){
        if(A[i] != 1 && pos[A[i]] >= 0){
            dsu.merge(pos[A[i]], i);
        }
        pos[A[i]] = i;
    }
    for(int p=2; p<=Z; p++){
        int v = -1;
        for(int q=p; q<=Z; q+=p) if(pos[q] >= 0){
            if(v >= 0) dsu.merge(v, pos[q]);
            v = pos[q];
        }
    }
    vec<int> F(4);
    rep(i,N) if(dsu.leader(i) == i){
        int f = 0;
        for(int v : dsu.list(i)){
            if(A[v]%2 == 0) f |= 1;
            if(A[v]%3 == 0) f |= 2;
        }
        F[f] += 1;
    }
    int ans = (F[0] + F[2]) * 2;
    if(F[2] != 0 || F[3] != 0) chmin(ans, 3 * (F[0] + F[1]));
    if(F[0] + F[1] + F[2] + F[3] == 1) chmin(ans, 0);
    cout << ans << endl;
}

int main(){
    ios::sync_with_stdio(false); cin.tie(nullptr);
    #ifdef NACHIA
    int T; cin >> T; for(int t=0; t<T; T!=++t?(cout<<'\n'),0:0)
    #endif
    testcase();
    return 0;
}