#884188 (C++17) No.2358 xy+yz+zx=N

提出ソース
結果

問題	No.2358 xy+yz+zx=N
ユーザー	👑 seekworser
提出日時	2023-06-23 22:44:14
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	361 ms / 2,000 ms
コード長	16,060 bytes
コンパイル時間	2,889 ms
コンパイル使用メモリ	235,708 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-07-01 17:40:24
合計ジャッジ時間	5,462 ms
ジャッジサーバーID （参考情報）	judge2 / 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	AC	2 ms 6,812 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	2 ms 6,944 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,944 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	3 ms 6,944 KB
testcase_08	AC	358 ms 6,944 KB
testcase_09	AC	361 ms 6,944 KB
testcase_10	AC	350 ms 6,940 KB
testcase_11	AC	351 ms 6,940 KB
testcase_12	AC	271 ms 6,944 KB
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ソースコード

raw source code
// line 1 "answer.cpp"
#if !__INCLUDE_LEVEL__
#include __FILE__
int main() {
    ll n;
    input(n);
    vector<tuple<ll,ll,ll>> ans;
    vl div = divisor(n);
    repe(d, div) {
        ans.emplace_back(0, d, n / d);
        ans.emplace_back(0, n / d, d);
        ans.emplace_back(d, 0, n / d);
        ans.emplace_back(n / d, 0, d);
        ans.emplace_back(n / d, d, 0);
        ans.emplace_back(d, n / d, 0);
    }
    uniq(ans);
    rep(i, 1, n) rep(j, i, n) {
        if (i*j > n) break;
        auto le = [&] (ll k) -> bool {
            ll cur = i*j + j*k + k*i;
            return cur <= n;
        };
        ll k = binsearch(0ll, n+1, le);
        if (k < j) break;
        if (i*j + j*k + k*i == n) {
            ans.emplace_back(i, j, k);
            ans.emplace_back(i, k, j);
            ans.emplace_back(j, i, k);
            ans.emplace_back(k, i, j);
            ans.emplace_back(j, k, i);
            ans.emplace_back(k, j, i);
        }
    }
    uniq(ans);
    print(sz(ans));
    repe(e, ans) {
        auto [x,y,z] = e;
        print(x,y,z);
    }
}
#else
// 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/prime.hpp"
bool is_prime(ll n) {
    using u128 = __uint128_t;
    vector<u128> a_list = {2, 7, 61, 325, 9375, 28178, 450775, 9780504, 1795265022};
    if (n == 1) return false;
    if (n == 2) return true;
    if (n % 2 == 0) return false;
    ll r = 0;
    ll d = n - 1;
    while (!(d & 1)) {
        d >>= 1;
        r++;
    }
    ll cnt = 0;
    repe(a, a_list) {
        if (a >= n) continue;
        u128 res = 1;
        ll di = d;
        while (di > 0) {
            if (di & 1) res = (res * a) % n;
            if (di > 1) a = (a * a) % n;
            di >>= 1;
        }
        if (res == 1) continue;
        bool valid = false;
        rep(i, r) {
            if (res == n - 1) valid = true;
            res = (res * res) % n;
        }
        if (!valid) return false;
    }
    return true;
}

template <class T> vector<T> divisor(T n, bool sorted=true) {
    vector<T> ans(0);
    for (T i = 1; i <= (T)std::sqrt(n); i++) {
        if (n % i == 0) {
            ans.push_back(i);
            if (i * i != n) ans.push_back(n / i);
        }
    }
    if (sorted) sort(ans.begin(), ans.end());
    return ans;
};
template <class T> vector<T> prime_factor(T n) {
    vector<T> ans(0);
    for (T i = 2; i <= (T)std::sqrt(n); i++) {
        while (n % i == 0) {
            ans.push_back(i);
            n /= i;
        }
    }
    if (n != 1) ans.push_back(n);
    return ans;
};
template <class T> map<T, T> prime_factor_c(T n) {
    map<T, T> ans;
    for (T i = 2; i <= (T)std::sqrt(n); i++) {
        while (n % i == 0) {
            ans[i] += 1;
            n /= i;
        }
    }
    if (n != 1) ans[n] += 1;
    return ans;
};
template <class T> vector<T> primes(T n) {
    vector<T> ans(0);
    if (n < 2) return ans;
    vector<bool> is_primev(n+1, true);
    is_primev.at(0) = is_primev.at(1) = false;
    for (T i = 2; i <= (T)std::sqrt(n); i++) {
        if (!is_primev.at(i)) continue;
        for (T j = i*2; j <= n; j+=i) is_primev.at(j) = false;
    }
    for (T i = 2; i <= n; i++) {
        if (is_primev.at(i)) ans.push_back(i);
    }
    return ans;
};
template <class T> vector<T> segment_seive(T s, T t) {
    vector<T> ans(0);
    if (t < 2 || s < 0 || s >= t) return ans;
    vector<bool> is_prime_small((T)std::sqrt(t)+1, true);
    vector<bool> is_prime_large(t-s, true);
    for (T i = 2; i <= (T)std::sqrt(t); i++) {
        if (!is_prime_small.at(i)) continue;
        for (T j = i*2; j*j < t; j+=i) is_prime_small.at(j) = false;
        for (T j = max(2*i, ((s+i-1)/i)*i); j < t; j+=i) is_prime_large.at(j-s) = false;
    }
    for (T i=0; i < t-s; i++) {
        if (is_prime_large.at(i) && s+i != 1) ans.push_back(s+i);
    }
    return ans;
};
/**
 * @brief prime.hpp
 * @docs docs/math/prime.md
 */
// line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/math/binsearch.hpp"
//s~eでle(ans) = trueとなる最大のansを返す
template <class T, class F> T binsearch(T s, T e, F le) {
    T cmin = s;
    T cmax = e;
    while (cmin != cmax) {
        T p = (cmin + cmax + 1) / 2;
        if (le(p)) cmin = p;
        else cmax = p - 1;
    }
    return cmin;
}
//s~eでle(ans) = trueとなる最大のansを返す
template <class F> double binsearch_double(double s, double e, F le, double eps=1e-10) {
    double cmin = s;
    double cmax = e;
    while (abs(cmax - cmin) > eps * cmax && abs(cmax - cmin) > eps) {
        double p = (cmin + cmax) / 2;
        if (le(p)) cmin = p;
        else cmax = p;
    }
    return cmin;
}
//s~eで高々1つしか極値を持たないfについて極値を与える点を返す
template <class T, class F> T ternary_search(T s, T e, F f, double eps=1e-10) {
    T cmin = s;
    T cmax = e;
    while (cmax - cmin > (T)3) {
        T p1 = cmin + max<T>(1, (cmax - cmin) / 3);
        T p2 = cmax - max<T>(1, (cmax - cmin) / 3);
        if (f(p1) > f(p2)) cmin = p1;
        else cmax = p2;
    }
    T rev = cmin;
    auto val = f(cmin);
    rep(i, 4) {
        if (chmin<T>(val, f(cmin+i))) rev = cmin + i;
    }
    return rev;
}
//s~eで高々1つしか極値を持たないfについて極値を与える点を返す
template <class F> double ternary_search_double(double s, double e, F f, double eps=1e-10) {
    double cmin = s;
    double  cmax = e;
    while (abs(cmax - cmin) > eps) {
        double p1 = cmin + (cmax - cmin) / 3;
        double p2 = cmax - (cmax - cmin) / 3;
        if (f(p1) > f(p2)) cmin = p1;
        else cmax = p2;
    }
    return cmin;
}
/**
 * @brief binsearch.hpp
 * @docs docs/math/binsearch.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 46 "answer.cpp"
#endif
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