結果

問題 No.3663 LCM Decomposition
コンテスト
ユーザー dyktr_06
提出日時 2026-08-28 00:41:38
言語 C++17
(gcc 15.3.0 + boost 1.92.0)
コンパイル:
g++-15 -O2 -lm -std=c++17 -Wuninitialized -DONLINE_JUDGE -o a.out _filename_
実行:
./a.out
結果
WA  
実行時間 -
コード長 8,902 bytes
記録
記録タグの例:
初AC ショートコード 純ショートコード 純主流ショートコード 最速実行時間
コンパイル時間 1,352 ms
コンパイル使用メモリ 225,456 KB
実行使用メモリ 6,272 KB
最終ジャッジ日時 2026-08-30 13:04:42
合計ジャッジ時間 3,778 ms
ジャッジサーバーID
(参考情報)
judge3_0 / judge1_0
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample WA * 1
other AC * 5 WA * 9
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 #
raw source code

#include <bits/stdc++.h>

using namespace std;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) (a).begin(), (a).end()
#define Sort(a) (sort((a).begin(), (a).end()))
#define RSort(a) (sort((a).rbegin(), (a).rend()))
#define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end()))

using i64 = int64_t;
using i128 = __int128_t;

using ll = long long;
using ul = unsigned long long;
using ull = unsigned long long;
using ld = long double;
using vi = vector<int>;
using vll = vector<long long>;
using vull = vector<unsigned long long>;
using vc = vector<char>;
using vst = vector<string>;
using vd = vector<double>;
using vld = vector<long double>;
using P = pair<long long, long long>;

template<class T> long long sum(const T &a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T &a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T &a){ return *max_element(a.begin(), a.end()); }

const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double EPS = 1e-9;
const long double PI = acos(-1);

template<class T> inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; }

template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }

template<class T, class U>
void inGraph(vector<vector<T>> &G, U n, U m, bool directed = true, bool zero_index = true){
    G.resize(n);
    for(int i = 0; i < m; i++){
        int a, b;
        cin >> a >> b;
        if(!zero_index) a--, b--;
        G[a].push_back(b);
        if(!directed) G[b].push_back(a);
    }
}

template <typename T>
long long binary_search(long long ok, long long ng, T check){
    while(abs(ok - ng) > 1){
        long long mid = (ok + ng) / 2;
        if(check(mid)) ok = mid;
        else ng = mid;
    }
    return ok;
}

template <typename T>
long double binary_search_real(long double ok, long double ng, T check, int iter = 100){
    for(int i = 0; i < iter; ++i){
        long double mid = (ok + ng) / 2;
        if(check(mid)) ok = mid;
        else ng = mid;
    }
    return ok;
}

long long trisum(long long a, long long b){
    if(a > b) return 0;
    long long res = ((b - a + 1) * (a + b)) / 2;
    return res;
}

template <typename T>
T intpow(T x, int n){
    T ret = 1;
    while(n > 0) {
        if(n & 1) (ret *= x);
        (x *= x);
        n >>= 1;
    }
    return ret;
}

template <typename T>
T getDivision(T a, T b){
    if(b == 0) return -1;
    if(a >= 0 && b > 0){
        return a / b;
    } else if(a < 0 && b > 0){
        return a / b - (a % b != 0);
    } else if(a >= 0 && b < 0){
        return a / b;
    } else{
        return a / b + (a % b != 0);
    }
}

template <typename T>
T getReminder(T a, T b){
    if(b == 0) return -1;
    if(a >= 0 && b > 0){
        return a % b;
    } else if(a < 0 && b > 0){
        return ((a % b) + b) % b;
    } else if(a >= 0 && b < 0){
        return a % b;
    } else{
        return (abs(b) - abs(a % b)) % b;
    }
}

template<class T, class U> inline T vin(T &vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T &a, const Ts&... b){ cout << a; ((cout << ' ' << b), ...); cout << '\n'; }
void fout(){ cout << endl; }
template<class T, class... Ts> void fout(const T &a, const Ts&... b){ cout << a; ((cout << ' ' << b), ...); cout << endl; }
void debug(){ cerr << '\n'; }
template<class T, class... Ts> void debug(const T &a, const Ts&... b){ cerr << a; ((cout << ' ' << b), ...); cerr << '\n'; }

namespace prime{

    template <typename T>
    bool isPrime(T n){
        switch(n) {
        case 0: // fall-through
        case 1: return false;
        case 2: return true;
        }

        if(n % 2 == 0) return false;

        for(T i = 3; i * i <= n; i += 2){
            if(n % i == 0){
                return false;
            }
        }
        return true;
    }

    template <typename T>
    vector<pair<T, T>> factorize(T n) {
        vector<pair<T, T>> ret;
        for(T i = 2; i * i <= n; i++) {
            if(n % i != 0) continue;
            T tmp = 0;
            while(n % i == 0) {
                tmp++;
                n /= i;
            }
            ret.push_back(make_pair(i, tmp));
        }
        if(n != 1) ret.push_back(make_pair(n, 1));
        return ret;
    }

    template <typename T>
    vector<T> divisor(T n){
        T rt = sqrt(n);
        vector<T> res, resB;
        for(T i = 1; i * i <= n; i++){
            if(n % i == 0){
                res.push_back(i);
                T j = n / i;
                if(j != rt){
                    resB.push_back(j);
                }
            }
        }
        for(int i = (int) resB.size() - 1; i >= 0; i--){
            res.push_back(resB[i]);
        }
        return res;
    }
}

template <typename T>
vector<T> getSubmask(T x){
    vector<T> submask;
    for(T i = x; ; i = (i - 1) & x){
        submask.push_back(i);
        if(i == 0) break;
    }
    return submask;
}

ll T;

void input(){
    in(T);
}

void solve(){
    ll n, l, r; in(n, l, r);
    if(n == 1){
        out(-1);
        return;
    }
    vector<P> f = prime::factorize(n);
    ll len = f.size();
    vll val(len, 1);
    rep(i, len){
        rep(j, f[i].second) val[i] *= f[i].first;
    }

    vector<vll> s(1 << len);
    for(auto d : prime::divisor(n)){
        if(d < l || d > r) continue;
        ll bit = 0;
        rep(i, len){
            if(d % val[i] == 0){
                bit |= 1 << i;
            }
        }
        if((ll) s[bit].size() < 3) s[bit].push_back(d);
    }

    rep(bit, 1 << len){
        for(auto nbit : getSubmask(bit)){
            if(bit != nbit){
                for(auto x : s[bit]){
                    if((ll) s[nbit].size() < 3) s[nbit].push_back(x);
                }
            }
        }
    }

    rep(i, intpow(3, len)){
        vll bit(3);

        ll cur = i;
        rep(j, len){
            bit[cur % 3] |= 1 << j;
            cur /= 3;
        }
        
        for(auto x1 : s[bit[0]]){
            for(auto x2 : s[bit[1]]){
                for(auto x3 : s[bit[2]]){
                    if(x1 != x2 && x1 != x3 && x2 != x3){
                        out(x1, x2, x3);
                        return;
                    }
                }
            }
        }
    }
    out(-1);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);

    T = 1;
    input();
    while(T--) solve();
}
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