結果

問題 No.14 最小公倍数ソート
ユーザー Shuz*Shuz*
提出日時 2021-12-18 23:27:05
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 72 ms / 5,000 ms
コード長 11,565 bytes
コンパイル時間 2,628 ms
コンパイル使用メモリ 232,592 KB
実行使用メモリ 10,412 KB
最終ジャッジ日時 2023-10-13 18:16:13
合計ジャッジ時間 5,017 ms
ジャッジサーバーID
(参考情報)
judge15 / judge13
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
4,348 KB
testcase_01 AC 1 ms
4,352 KB
testcase_02 AC 1 ms
4,352 KB
testcase_03 AC 10 ms
5,320 KB
testcase_04 AC 72 ms
10,324 KB
testcase_05 AC 36 ms
7,508 KB
testcase_06 AC 41 ms
8,004 KB
testcase_07 AC 50 ms
8,692 KB
testcase_08 AC 55 ms
9,360 KB
testcase_09 AC 64 ms
10,200 KB
testcase_10 AC 67 ms
10,120 KB
testcase_11 AC 68 ms
10,412 KB
testcase_12 AC 70 ms
10,260 KB
testcase_13 AC 69 ms
10,308 KB
testcase_14 AC 64 ms
10,196 KB
testcase_15 AC 70 ms
10,280 KB
testcase_16 AC 46 ms
8,884 KB
testcase_17 AC 37 ms
8,412 KB
testcase_18 AC 27 ms
7,344 KB
testcase_19 AC 57 ms
9,672 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>
using namespace std;
// #pragma GCC target("arch=skylake-avx512")
// #include <atcoder/all>
// using namespace atcoder;
// #define NDEBUG

#pragma region template
// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template <class T> using pvector = vector<pair<T, T>>;
template <class T> using rpriority_queue = priority_queue<T, vector<T>, greater<T>>;
constexpr const ll dx[4] = {1, 0, -1, 0};
constexpr const ll dy[4] = {0, 1, 0, -1};
constexpr const ll MOD = 1e9 + 7;
constexpr const ll mod = 998244353;
constexpr const ll INF = 1LL << 60;
constexpr const ll inf = 1 << 30;
constexpr const char rt = '\n';
constexpr const char sp = ' ';
#define rt(i, n) (i == (ll) (n) -1 ? rt : sp)
#define len(x) ((ll) (x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define ifn(x) if (not(x))
#define elif else if
#define elifn else ifn
#define fi first
#define se second
#define uniq(x) (sort(all(x)), (x).erase(unique(all(x)), (x).end()))
#define bis(x, y) ((ll) (lower_bound(all(x), y) - (x).begin()))

using graph = vector<vector<ll>>;
template <class T> using wgraph = vector<vector<pair<ll, T>>>;
bool __DIRECTED__ = true;
bool __ZERO_INDEXED__ = false;
istream &operator>>(istream &is, graph &g) {
    ll a, b;
    is >> a >> b;
    if (__ZERO_INDEXED__ == false) a--, b--;
    g[a].pb(b);
    if (__DIRECTED__ == false) g[b].pb(a);
    return is;
}
template <class T> istream &operator>>(istream &is, wgraph<T> &g) {
    ll a, b;
    T c;
    is >> a >> b >> c;
    if (__ZERO_INDEXED__ == false) a--, b--;
    g[a].pb({b, c});
    if (__DIRECTED__ == false) g[b].pb({a, c});
    return is;
}

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

// Debug
#ifdef NDEBUG
#define debug(...)
#define dumpi(a, h, w)
#define vdumpi(a, n)
#define dump(a, h, w)
#define vdump(a, n)
#else
#define debug(...)                                                                                 \
    {                                                                                              \
        cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ";                                         \
        for (auto &&__i : {__VA_ARGS__}) cerr << "[" << __i << "] ";                               \
        cerr << rt;                                                                                \
    }

#define dumpi(a, h, w)                                                                             \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [" << rt;                                            \
        rep(__i, h) {                                                                              \
            if (__i) cerr << ",\n";                                                                \
            cerr << "[";                                                                           \
            rep(__j, w) {                                                                          \
                if (__j) cerr << ", ";                                                             \
                if (abs(a[__i][__j]) >= INF / 2 and a[__i][__j] <= -INF / 2) cerr << '-';          \
                if (abs(a[__i][__j]) >= INF / 2) cerr << "∞";                                      \
                else                                                                               \
                    cerr << a[__i][__j];                                                           \
            }                                                                                      \
            cerr << "]";                                                                           \
        }                                                                                          \
        cerr << "\n]" << rt;                                                                       \
    }

#define vdumpi(a, n)                                                                               \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [";                                                  \
        rep(__i, n) {                                                                              \
            if (__i) cerr << ", ";                                                                 \
            if (abs(a[__i]) >= INF / 2 and a[__i] <= -INF / 2) cerr << '-';                        \
            if (abs(a[__i]) >= INF / 2) cerr << "∞";                                               \
            else                                                                                   \
                cerr << a[__i];                                                                    \
        }                                                                                          \
        cerr << "]" << rt;                                                                         \
    }

#define dump(a, h, w)                                                                              \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [" << rt;                                            \
        rep(__i, h) {                                                                              \
            if (__i) cerr << ",\n";                                                                \
            cerr << "[";                                                                           \
            rep(__j, w) {                                                                          \
                if (__j) cerr << ", ";                                                             \
                cerr << a[__i][__j];                                                               \
            }                                                                                      \
            cerr << "]";                                                                           \
        }                                                                                          \
        cerr << "\n]" << rt;                                                                       \
    }

#define vdump(a, n)                                                                                \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [";                                                  \
        rep(__i, n) {                                                                              \
            if (__i) cerr << ", ";                                                                 \
            cerr << a[__i];                                                                        \
        }                                                                                          \
        cerr << "]" << rt;                                                                         \
    }
#endif

template <class S, class T> istream &operator>>(istream &is, pair<S, T> &p) {
    is >> p.first >> p.second;
    return is;
}
template <class S, class T> ostream &operator<<(ostream &os, const pair<S, T> &p) {
    os << p.first << ' ' << p.second;
    return os;
}

// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i)
#define each(i, a) for (auto &&i : a)

// Stream
#define fout(n) cout << fixed << setprecision(n)
struct io {
    io() { cin.tie(nullptr), ios::sync_with_stdio(false); }
} io;

// Speed
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#pragma GCC optimize("Ofast,unroll-loops")

// Math
inline constexpr ll gcd(const ll a, const ll b) { return b ? gcd(b, a % b) : a; }
inline constexpr ll lcm(const ll a, const ll b) { return a / gcd(a, b) * b; }

inline constexpr ll modulo(const ll n, const ll m = MOD) {
    ll k = n % m;
    return k + m * (k < 0);
}
inline constexpr ll chmod(ll &n, const ll m = MOD) {
    n %= m;
    return n += m * (n < 0);
}
inline constexpr ll mpow(ll a, ll n, const ll m = MOD) {
    ll r = 1;
    rep(i, 64) {
        if (n & (1LL << i)) r *= a;
        chmod(r, m);
        a *= a;
        chmod(a, m);
    }
    return r;
}
inline ll inv(const ll n, const ll m = MOD) {
    ll a = n, b = m, x = 1, y = 0;
    while (b) {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        x -= t * y;
        swap(x, y);
    }
    return modulo(x, m);
}
unsigned long long binary_gcd(unsigned long long x, unsigned long long y) {
    if (!x | !y) return x | y;
    unsigned long long cx = __builtin_ctzll(x), cy = __builtin_ctzll(y);
    x >>= cx, y >>= cy;
    while (x ^ y) {
        if (x > y) {
            x = (x - y) >> __builtin_ctzll(x ^ y);
        } else {
            y = (y - x) >> __builtin_ctzll(x ^ y);
        }
    }
    return x << min(cx, cy);
}

inline long long binary_gcd(long long x, long long y) {
    return binary_gcd((unsigned long long) (abs(x)), (unsigned long long) (abs(y)));
}

#define codeforces                                                                                 \
    ll testcases;                                                                                  \
    cin >> testcases;                                                                              \
    rep(testcase, testcases)
#define gcj(s) cout << s << testcase + 1 << ": "

#pragma endregion

signed main() {
    ll N;
    cin >> N;
    ll A[N];
    rep(i, N) cin >> A[i];

    map<ll, deque<pair<ll, ll>>> m;
    inc(i, 1, N - 1) {
        inc(j, 1, sqrt(A[i])) {
            if (A[i] % j == 0) {
                m[j].push_back({A[i] / j, i});
                m[A[i] / j].push_back({j, i});
            }
        }
    }
    each(it, m) sort(it.second.begin(), it.second.end());

    vector<ll> ans = {0}, used(N);
    rep(i, N - 1) {
        pair<ll, ll> mn = {INF, INF};
        ll id = -1;
        inc(j, 1, sqrt(A[ans.back()])) {
            if (A[ans.back()] % j == 0) {
                while (m[j].size() && used[m[j].front().second]) m[j].pop_front();
                if (m[j].size()) {
                    if (chmin(mn, {m[j].front().first, A[m[j].front().second]})) {
                        id = m[j].front().second;
                    }
                }
                while (m[A[ans.back()] / j].size() && used[m[A[ans.back()] / j].front().second])
                    m[A[ans.back()] / j].pop_front();
                if (m[A[ans.back()] / j].size()) {
                    if (chmin(mn, {m[A[ans.back()] / j].front().first,
                                   A[m[A[ans.back()] / j].front().second]})) {
                        id = m[A[ans.back()] / j].front().second;
                    }
                }
            }
        }
        ans.push_back(id);
        used[id] = 1;
    }
    rep(i, N) cout << A[ans[i]] << rt(i, N);
}
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