結果

問題 No.1498 Factorization from -1 to 1
ユーザー dyktr_06dyktr_06
提出日時 2022-12-24 18:48:04
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,339 ms / 3,000 ms
コード長 7,435 bytes
コンパイル時間 4,949 ms
コンパイル使用メモリ 280,664 KB
実行使用メモリ 5,248 KB
最終ジャッジ日時 2024-11-18 05:34:14
合計ジャッジ時間 15,977 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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 2 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 379 ms
5,248 KB
testcase_04 AC 1,338 ms
5,248 KB
testcase_05 AC 1,339 ms
5,248 KB
testcase_06 AC 1,336 ms
5,248 KB
testcase_07 AC 1,334 ms
5,248 KB
testcase_08 AC 1,335 ms
5,248 KB
testcase_09 AC 1,336 ms
5,248 KB
testcase_10 AC 25 ms
5,248 KB
testcase_11 AC 25 ms
5,248 KB
testcase_12 AC 25 ms
5,248 KB
testcase_13 AC 25 ms
5,248 KB
testcase_14 AC 24 ms
5,248 KB
testcase_15 AC 2 ms
5,248 KB
testcase_16 AC 2 ms
5,248 KB
testcase_17 AC 2 ms
5,248 KB
testcase_18 AC 2 ms
5,248 KB
testcase_19 AC 2 ms
5,248 KB
testcase_20 AC 2 ms
5,248 KB
testcase_21 AC 2 ms
5,248 KB
testcase_22 AC 2 ms
5,248 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 # 

#include <bits/stdc++.h>
#include <atcoder/all>

using namespace std;
using namespace atcoder;

#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())

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

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> 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 << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }

namespace Rho{
    unsigned long long mul(unsigned long long a, unsigned long long b, const unsigned long long mod) {
        long long ret = a * b - mod * (unsigned long long)(1.0L / mod * a * b);
        return ret + mod * (ret < 0) - mod * (ret >= (long long) mod);
    }

    bool rabin_miller(unsigned long long n){
        switch(n){
            case 0: // fall-through
            case 1: return false;
            case 2: return true;
        }

        if(n % 2 == 0) return false;
        vector<long long> A = {2, 325, 9375, 28178, 450775, 9780504, 1795265022};
        unsigned long long s = 0, d = n - 1;
        while(d % 2 == 0){
            s++;
            d >>= 1;
        }

        auto modpow = [](unsigned long long x, unsigned long long e, const unsigned long long mod) -> unsigned long long {
            unsigned long long ret = 1 % mod;
            x %= mod;
            while(e > 0){
                if(e & 1) ret = mul(ret, x, mod);
                x = mul(x, x, mod);
                e >>= 1;
            }
            return ret;
        };

        for(auto a : A){
            if(a % n == 0) return true;
            unsigned long long t, x = modpow(a, d, n);
            if(x != 1){
                for(t = 0; t < s; ++t){
                    if(x == n - 1) break;
                    x = mul(x, x, n);
                }
                if(t == s) return false;
            }
        }
        return true;
    }

    mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());
    unsigned long long FindFactor(unsigned long long n) {
        if(n == 1 || rabin_miller(n)) return n;
        if(n % 2 == 0) return 2;
        unsigned long long c = 1, x = 0, y = 0, t = 0, prod = 2, x0 = 1, q;
        auto f = [&](unsigned long long X) { return mul(X, X, n) + c;};

        while (t++ % 128 or __gcd(prod, n) == 1) {
            if(x == y) c = rng() % (n-1) + 1, x = x0, y = f(x);
            if((q = mul(prod, max(x, y) - min(x, y), n))) prod = q;
            x = f(x), y = f(f(y));
        }
        return __gcd(prod, n);
    }

    vector<unsigned long long> factorize(unsigned long long x) {
        if(x == 1) return {};
        unsigned long long a = FindFactor(x), b = x / a;
        if(a == x) return {a};
        vector<unsigned long long> L = factorize(a), R = factorize(b);
        L.insert(L.end(), R.begin(), R.end());
        return L;
    }

    vector<unsigned long long> divisor(unsigned long long x){
        vector<unsigned long long> factor = Rho::factorize(x);
        map<unsigned long long, int> countFactor;
        for(auto x : factor){
            if(countFactor.count(x) == 0) countFactor[x] = 0;
            countFactor[x]++;
        }
        vector<unsigned long long> ret = {1};
        for(auto [x, cnt] : countFactor){
            vector<unsigned long long> tmp;
            for(auto y : ret){
                unsigned long long z = y;
                for(int i = 0; i < cnt + 1; i++){
                    tmp.push_back(z);
                    z *= x;
                }
            }
            ret = tmp;
        }
        return ret;
    }
}

ll q;

void input(){
    in(q);
}
 
void solve(){
    while(q--){
        ll x; in(x);
        x *= x; x++;
        vector<ul> f = Rho::factorize(x);
        Sort(f);
        out(f);
    }
}

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