結果

問題 No.2183 LCA on Rational Tree
ユーザー siganaisiganai
提出日時 2023-01-08 03:57:08
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
RE  
実行時間 -
コード長 7,301 bytes
コンパイル時間 2,966 ms
コンパイル使用メモリ 231,372 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-05-08 21:55:48
合計ジャッジ時間 4,548 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
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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 RE -
testcase_01 RE -
testcase_02 RE -
testcase_03 RE -
testcase_04 RE -
testcase_05 RE -
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 # 

#line 1 "test.cpp"
//#pragma GCC target("avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include <debug.hpp>
#define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (static_cast<void>(0))
#endif
using ll = long long;
using ld = long double;
using pll = pair<ll,ll>;
using pii = pair<int,int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T,vector<T>,greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#define rep2(i, n) for (ll i = 0; i < (n); ++i)
#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define all1(i) begin(i),end(i)
#define all2(i,a) begin(i),begin(i)+a
#define all3(i,a,b) begin(i)+a,begin(i)+b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
template<class T> auto min(const T& a){ return *min_element(all(a)); }
template<class T> auto max(const T& a){ return *max_element(all(a)); }
template<class... Ts> void in(Ts&... t);
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__; in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__; in(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}
ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
ll GCD(ll a,ll b) { if(a == 0 || b == 0) return a + b; if(a % b == 0) return b; else return GCD(b,a%b);}
ll LCM(ll a,ll b) { if(a == 0) return b; if(b == 0) return a;return a / GCD(a,b) * b;}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){
    in(get<idx>(t)...);}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){
    ituple(t, make_index_sequence<tuple_size<T>::value>{});}
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
//constexpr int mod = 1000000007;
constexpr int mod = 998244353;
static const double PI = 3.1415926535897932;
template <class F> struct REC {
    F f;
    REC(F &&f_) : f(forward<F>(f_)) {}
    template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }};

#line 2 "library/math/factorize.hpp"
vector<pair<long long,int>> prime_factorization(long long n) {
    vector<pair<long long,int>> ret;
    int c = 0;
    while(n % 2 == 0) {
        c++;
        n >>= 1;
    }
    if(c) ret.emplace_back(2,c);
    for(long long i = 3; i * i <= n; i += 2) {
        c = 0;
        while(n % i == 0) {
            n /= i;
            c++;
        }
        if(c) ret.emplace_back(i,c);
    }
    if (n != 1) ret.emplace_back(n,1);
    return ret;
}
vector<long long> divisor(long long n) {
    vector<long long> ret;
    for(long long i = 1; i * i <= n; i++) {
        if (n % i == 0) {
            ret.push_back(i);
            if(i * i != n) {ret.push_back(n / i);}
        }
    }
    sort(ret.begin(),ret.end());
    return ret;
}
#line 87 "test.cpp"

int main() {
    INT(TT);
    while(TT--) {
        INT(p1,q1,p2,q2);
        int r1 = q1 - p1;
        int r2 = q2 - p2;
        auto ret1 = prime_factorization(r1);
        auto ret2 = prime_factorization(r2);
        map<int,pii> mp1,mp2;
        set<pii> s1,s2;
        rep(i,ret1.size()) s1.insert(pii{ret1[i].first,i});
        rep(i,ret2.size()) s2.insert(pii{ret2[i].first,i});
        int a = p1,b = q1;
        int cnt = 0;
        while(b - a > 1 && cnt < 10) {
            cnt++;
            mp1[a-b].first = b;
            int pl = 1e9;
            int y = 0;
            for(auto &[x,_]:s1) {
                if(chmin(pl,x-a%x)) y = x;
            }
            a += pl;
            b += pl;
            mp1[a-b].second = b - 1;
            int gc = gcd(a,b);
            a /= gc;
            b /= gc;
            for(auto &[x,id]:s1) {
                while(gc % x == 0) {
                    gc /= x;
                    ret1[id].second--;
                }
                if(ret1[id].second == 0) s1.erase(pii{x,id});
            }
        }
        int c = p2,d = q2;
        cnt = 0;
        while(d - c > 1 && cnt < 10) {
            cnt++;
            mp2[c-d].first = d;
            int pl = 1e9;
            int y = 0;
            for(auto &[x,_]:s2) {
                if(chmin(pl,x-c%x)) y = x;
            }
            c += pl;
            d += pl;
            mp2[c-d].second = d - 1;
            int gc = gcd(c,d);
            debug(c,d,gc,pl);
            c /= gc;
            d /= gc;
            for(auto &[x,id]:s2) {
                while(gc % x == 0) {
                    gc /= x;
                    ret2[id].second--;
                }
                if(ret2[id].second == 0) s2.erase(pii{x,id});
            }
        }
        int flg = 0;
        for(auto [val,p]:mp1) {
            if(mp2.find(val) != mp2.end()) {
                if(p.first <= mp2[val].second && p.first >= mp2[val].first) {
                    cout << p.first + val << " " << p.first << '\n';
                    flg = 1;
                    break;
                }
                else if(mp2[val].first <= p.second && mp2[val].first >= p.first) {
                    cout << mp2[val].first + val << " " << mp2[val].first << '\n';
                    flg = 1;
                    break;
                }
            }
        }
        if(!flg) {
            cout << max(a,c) << " " << max(d,b) << '\n';
        }
    }

}
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