#912934 (C++23) No.8024 等式

提出ソース
結果

問題	No.8024 等式
ユーザー	👑 seekworser
提出日時	2023-09-12 02:18:44
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	TLE
実行時間	-
コード長	15,978 bytes
コンパイル時間	4,023 ms
コンパイル使用メモリ	290,624 KB
実行使用メモリ	221,440 KB
最終ジャッジ日時	2024-06-29 15:25:13
合計ジャッジ時間	15,683 ms
ジャッジサーバーID （参考情報）	judge1 / judge3
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 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	3 ms 6,940 KB
testcase_04	AC	2 ms 6,940 KB
testcase_05	AC	1 ms 6,940 KB
testcase_06	AC	14 ms 6,944 KB
testcase_07	AC	17 ms 6,940 KB
testcase_08	AC	25 ms 6,940 KB
testcase_09	AC	9 ms 6,940 KB
testcase_10	AC	15 ms 6,944 KB
testcase_11	AC	3 ms 6,940 KB
testcase_12	AC	1,154 ms 42,692 KB
testcase_13	AC	1,094 ms 44,616 KB
testcase_14	AC	2,055 ms 70,024 KB
testcase_15	AC	4 ms 6,944 KB
testcase_16	AC	65 ms 9,528 KB
testcase_17	AC	228 ms 20,264 KB
testcase_18	AC	16 ms 6,944 KB
testcase_19	AC	39 ms 6,944 KB
testcase_20	AC	4 ms 6,940 KB
testcase_21	AC	2 ms 6,940 KB
testcase_22	TLE	-
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ソースコード

raw source code
// line 2 "/home/seekworser/.cpp_lib/competitive_library/competitive/std/std.hpp"
#include <bits/stdc++.h>
#ifndef LOCAL_TEST
#pragma GCC target ("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#endif // LOCAL_TEST
using namespace std;
// shorten typenames
using ll = long long;
using pii = pair<int, int>; using pll = pair<ll, ll>;
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 vb = vector<bool>; using vvb = vector<vb>; using vvvb = vector<vvb>;
using vc = vector<char>; using vvc = vector<vc>; using vvvc = vector<vvc>;
using vd = vector<double>; using vvd = vector<vd>; using vvvd = vector<vvd>;
using vs = vector<string>; using vvs = vector<vector<string>>; using vvvs = vector<vector<vector<string>>>;
template<typename T> vector<vector<T>> vv(int h, int w, T val = T()) { return vector(h, vector<T>(w, val)); }
template<typename T> vector<vector<vector<T>>> vvv(int h1, int h2, int h3, T val = T()) { return vector(h1, vector(h2, vector<T>(h3, val))); }
template<typename T> vector<vector<vector<vector<T>>>> vvvv(int h1, int h2, int h3, int h4, T val = T()) { return vector(h1, vector(h2, vector(h3, vector<T>(h4, val)))); }
template <class T> using priority_queue_min = priority_queue<T, vector<T>, greater<T>>;
// define CONSTANTS
constexpr double PI = 3.14159265358979323;
constexpr int INF = 100100111; constexpr ll INFL = 3300300300300300491LL;
float EPS = 1e-8; double EPSL = 1e-10;
template<typename T> bool eq(const T x, const T y) { return x == y; }
template<> bool eq<double>(const double x, const double y) { return (abs(x - y) < EPSL * x || abs(x - y) < EPSL); }
template<> bool eq<float>(const float x, const float y) { return abs(x - y) < EPS * x; }
template<typename T> bool neq(const T x, const T y) { return !(eq<T>(x, y)); }
template<typename T> bool ge(const T x, const T y) { return (eq<T>(x, y) || (x > y)); }
template<typename T> bool le(const T x, const T y) { return (eq<T>(x, y) || (x < y)); }
template<typename T> bool gt(const T x, const T y) { return !(le<T>(x, y)); }
template<typename T> bool lt(const T x, const T y) { return !(ge<T>(x, y)); }
constexpr int MODINT998244353 = 998244353;
constexpr int MODINT1000000007 = 1000000007;
// fasten io
struct Nyan { Nyan() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } nyan;
// define macros
#define all(a) (a).begin(), (a).end()
#define sz(x) ((ll)(x).size())
#define rep1(n) for(ll dummy_iter = 0LL; dummy_iter < n; ++dummy_iter) // 0,1,...,n-1
#define rep2(i, n) for(ll i = 0LL, i##_counter = 0LL; i##_counter < ll(n); ++(i##_counter), (i) = i##_counter) // i=0,1,...,n-1
#define rep3(i, s, t) for(ll i = ll(s), i##_counter = ll(s); i##_counter < ll(t); ++(i##_counter), (i) = (i##_counter)) // i=s,s+1,...,t-1
#define rep4(i, s, t, step) for(ll i##_counter = step > 0 ? ll(s) : -ll(s), i##_end = step > 0 ? ll(t) : -ll(t), i##_step = abs(step), i = ll(s); i##_counter < i##_end; i##_counter += i##_step, i = step > 0 ? i##_counter : -i##_counter) // i=s,s+step,...,<t
#define overload4(a, b, c, d, e, ...) e
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define repe(a, v) for(auto& a : (v)) // iterate over all elements in v
#define smod(n, m) ((((n) % (m)) + (m)) % (m))
#define sdiv(n, m) (((n) - smod(n, m)) / (m))
#define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());}
int Yes(bool b=true) { cout << (b ? "Yes\n" : "No\n"); return 0; };
int YES(bool b=true) { cout << (b ? "YES\n" : "NO\n"); return 0; };
int No(bool b=true) {return Yes(!b);};
int NO(bool b=true) {return YES(!b);};
template<typename T, size_t N> T max(array<T, N>& a) { return *max_element(all(a)); };
template<typename T, size_t N> T min(array<T, N>& a) { return *min_element(all(a)); };
template<typename T> T max(vector<T>& a) { return *max_element(all(a)); };
template<typename T> T min(vector<T>& a) { return *min_element(all(a)); };
template<typename T> vector<T> vec_slice(const vector<T>& a, int l, int r) { vector<T> rev; rep(i, l, r) rev.push_back(a[i]); return rev; };
template<typename T> T sum(vector<T>& a, T zero = T(0)) { T rev = zero; rep(i, sz(a)) rev += a[i]; return rev; };
template<typename T> bool in_range(const T& val, const T& s, const T& t) { return s <= val && val < t; };

template <class T> inline vector<T>& operator--(vector<T>& v) { repe(x, v) --x; return v; }
template <class T> inline vector<T>& operator++(vector<T>& v) { repe(x, v) ++x; return v; }

ll powm(ll a, ll n, ll mod=INFL) {
    ll res = 1;
    while (n > 0) {
        if (n & 1) res = (res * a) % mod;
        if (n > 1) a = (a * a) % mod;
        n >>= 1;
    }
    return res;
}
ll sqrtll(ll x) {
    assert(x >= 0);
    ll rev = sqrt(x);
    while(rev * rev > x) --rev;
    while((rev+1) * (rev+1)<=x) ++rev;
    return rev;
}
template <class T> inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; }
template <class T> inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; }
int digit(ll x, int d=10) { int rev=0; while (x > 0) { rev++; x /= d;}; return rev; }
/**
 * @brief std.hpp
 * @docs docs/std/std.md
 */
// line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/math/fraction.hpp"
struct Frac {
    ll num;
    ll den;
    Frac (ll _num, ll _den, bool reduce = true) : num(_num), den(_den) {
        if (reduce) (*this).reduce();
    }
    Frac (ll _num) : Frac(_num, 1) {}
    static ll redcue_limit;

    Frac inv() const { return Frac((*this).den, (*this).num); }
    Frac &operator+=(const Frac &x) {
        (*this).num = (*this).num * x.den + x.num * (*this).den;
        (*this).den = (*this).den * x.den;
        if ((*this).den > redcue_limit || (*this).num > redcue_limit) (*this).reduce();
        return (*this);
    }
    Frac &operator-=(const Frac &x) {
        (*this).num = (*this).num * x.den - x.num * (*this).den;
        (*this).den = (*this).den * x.den;
        if ((*this).den > redcue_limit || (*this).num > redcue_limit) (*this).reduce();
        return (*this);
    }
    Frac &operator*=(const Frac &x) {
        (*this).num = (*this).num * x.num;
        (*this).den = (*this).den * x.den;
        if ((*this).den > redcue_limit || (*this).num > redcue_limit) (*this).reduce();
        return (*this);
    }
    Frac &operator/=(const Frac &x) {
        (*this) *= x.inv();
        if ((*this).den > redcue_limit || (*this).num > redcue_limit) (*this).reduce();
        return (*this);
    }
    Frac operator+(const Frac &x) const { return (Frac(*this) += x); }
    Frac operator-(const Frac &x) const { return (Frac(*this) -= x); }
    Frac operator*(const Frac &x) const { return (Frac(*this) *= x); }
    Frac operator/(const Frac &x) const { return (Frac(*this) /= x); }

    Frac operator+() const { return *this; }
    Frac operator-() const { Frac x(-(*this).num, (*this).den); return x; }
    friend bool operator==(const Frac& lhs, const Frac& rhs) {
        return lhs.num * rhs.den == lhs.den * rhs.num;
    }
    friend bool operator!=(const Frac& lhs, const Frac& rhs) {
        return lhs.num * rhs.den != lhs.den * rhs.num;
    }
    friend bool operator>=(const Frac& lhs, const Frac& rhs) {
        return lhs.num * rhs.den >= lhs.den * rhs.num;
    }
    friend bool operator<=(const Frac& lhs, const Frac& rhs) {
        return lhs.num * rhs.den <= lhs.den * rhs.num;
    }
    friend bool operator>(const Frac& lhs, const Frac& rhs) {
        return lhs.num * rhs.den > lhs.den * rhs.num;
    }
    friend bool operator<(const Frac& lhs, const Frac& rhs) {
        return lhs.num * rhs.den < lhs.den * rhs.num;
    }

    double val() const {return (double)((*this).num) / (double)((*this).den); }
    friend ostream& operator<<(ostream& os, const Frac &x) { os << x.val(); return os; }
    void reduce() {
        assert((*this).den != 0 || (*this).num != 0);
        if ((*this).den == 0) { (*this).num = 1; return; }
        if ((*this).num == 0) { (*this).den = 1; return; }
        ll g = gcd((*this).num, (*this).den);
        (*this).num /= g;
        (*this).den /= g;
        if ((*this).den < 0) {
            (*this).num *= -1;
            (*this).den *= -1;
        }
        return;
    }
};
ll Frac::redcue_limit = 1000000000;
Frac pow(const Frac &a, ll n) {
    Frac res(1); Frac cur(a);
    while (n > 0) {
        if (n & 1) res *= cur;
        cur *= cur;
        n >>= 1;
    }
    return res;
}
Frac abs(const Frac &f) {
    Frac rev(f);
    if (rev.den * rev.num < 0) return -rev;
    return rev;
}
/**
 * @brief fraction.hpp
 * @docs docs/math/fraction.md
 */
// line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/std/io.hpp"
// overload operators (prototypes)
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p);
template <class T> inline istream& operator>>(istream& is, vector<T>& v);
template <class T, class U> inline ostream& operator<<(ostream& os, const pair<T, U>& p);
template <class T> inline ostream& operator<<(ostream& os, const vector<T>& v);
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp);
template <typename T> ostream &operator<<(ostream &os, const set<T> &st);
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st);
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &st);
template <typename T> ostream &operator<<(ostream &os, queue<T> q);
template <typename T> ostream &operator<<(ostream &os, deque<T> q);
template <typename T> ostream &operator<<(ostream &os, stack<T> st);
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq);

// overload operators
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; }
template <class T> inline istream& operator>>(istream& is, vector<T>& v) { repe(x, v) is >> x; return is; }
template <class T, class U> inline ostream& operator<<(ostream& os, const pair<T, U>& p) { os << p.first << " " << p.second; return os; }
template <class T> inline ostream& operator<<(ostream& os, const vector<T>& v) { rep(i, sz(v)) { os << v.at(i); if (i != sz(v) - 1) os << " "; } 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, const unordered_set<T> &st) { ll cnt = 0; for (auto &e : st) { os << e << (++cnt != (int)st.size() ? " " : ""); } 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 <typename T> int print_sep_end(string sep, string end, const T& val) { (void)sep; cout << val << end; return 0; };
template <typename T1, typename... T2> int print_sep_end(string sep, string end, const T1 &val, const T2 &...remain) {
    cout << val << sep;
    print_sep_end(sep, end, remain...);
    return 0;
};
template <typename... T> int print(const T &...args) { print_sep_end(" ", "\n", args...); return 0; };
template <typename... T> void flush() { cout << flush; };
template <typename... T> int print_and_flush(const T &...args) { print(args...); flush(); return 0; };
#define debug(...) debug_func(0, #__VA_ARGS__, __VA_ARGS__) // debug print
template <typename T> void input(T &a) { cin >> a; };
template <typename T1, typename... T2> void input(T1&a, T2 &...b) { cin >> a; input(b...); };
#ifdef LOCAL_TEST
template <typename T> void debug_func(int i, const T name) { (void)i; (void)name; cerr << endl; }
template <typename T1, typename T2, typename... T3> void debug_func(int i, const T1 &name, const T2 &a, const T3 &...b) {
    int scope = 0;
    for ( ; (scope != 0 || name[i] != ',') && name[i] != '\0'; i++ ) {
        cerr << name[i];
        if (name[i] == '(' || name[i] == '{') scope++;
        if (name[i] == ')' || name[i] == '}') scope--;
    }
    cerr << ":" << a << " ";
    debug_func(i + 1, name, b...);
}
template <typename T1, typename T2, typename... T3> void debug_func(int i, const T1 &name, T2 &a, T3 &...b) {
    int scope = 0;
    for ( ; (scope != 0 || name[i] != ',') && name[i] != '\0'; i++ ) {
        cerr << name[i];
        if (name[i] == '(' || name[i] == '{') scope++;
        if (name[i] == ')' || name[i] == '}') scope--;
    }
    cerr << ":" << a << " ";
    debug_func(i + 1, name, b...);
}
#endif
#ifndef LOCAL_TEST
template <typename... T>
void debug_func(T &...) {}
template <typename... T>
void debug_func(const T &...) {}
#endif
/**
 * @brief io.hpp
 * @docs docs/std/io.md
 */
// line 4 "answer.cpp"
int main() {
    using T = Frac;
    int n;
    cin >> n;
    T xt = T(0);
    vector<int> a(n);
    for (int i=0; i<n; i++) cin >> a[i];
    using vt = vector<T>;
    vt a_t;
    for (int i=0; i<n; i++) a_t.emplace_back(a[i]);

    // map<vector<T>, vector<pair<T,string>>> checked;
    map<vt, vt> checked;
    bool ans = false;
    auto solve = [&] (auto self, vt &ai) -> vt {
        if (ai.size() == 1) return {{T(ai[0])}};
        sort(ai.begin(), ai.end());
        if(checked.count(ai)) return checked[ai];
        set<T> seen;
        vt rev;
        for (int b=1; b<(1<<ai.size())-1; b++) {
            vt a1, a2;
            for (int i=0; i<ai.size(); i++) {
                if ((b >> i) & 1) a1.push_back(ai[i]);
                else a2.push_back(ai[i]);
            }
            vt ans1 = self(self, a1);
            vt ans2 = self(self, a2);
            for (auto v1 : ans1) for (auto v2 : ans2) {
                if (!seen.count(v1 + v2)) {
                    rev.emplace_back(v1+v2);
                    // rev.emplace_back(v1+v2, s1 + "+" + s2);
                    seen.emplace(v1 + v2);
                }
                if (!seen.count(v1 - v2)) {
                    rev.emplace_back(v1-v2);
                    // rev.emplace_back(v1-v2, s1 + "-" + s2);
                    seen.emplace(v1 - v2);
                }
                if (!seen.count(v1 * v2)) {
                    rev.emplace_back(v1*v2);
                    // rev.emplace_back(v1*v2, "(" + s1 + ")*(" + s2 + ")");
                    seen.emplace(v1 * v2);
                }
                if (v2 != T(0) && !seen.count(v1 / v2)) {
                    debug(v1, v2, v1 / v2);
                    rev.emplace_back(v1/v2);
                    // rev.emplace_back(v1/v2, "(" + s1 + ")/(" + s2 + ")");
                    seen.emplace(v1 / v2);
                }
                if (a.size() == n && seen.count(xt)) {
                    ans = true;
                    break;
                }
            }
            if (a.size() == n && seen.count(xt)) break;
        }
        checked[ai] = rev;
        // debug(ai, rev);
        return rev;
    };
    solve(solve, a_t);
    YES(ans);
}
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結果

テストケース

ソースコード
