結果

問題 No.3081 HQ9+
ユーザー もりをもりを
提出日時 2021-04-01 20:36:56
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 11,495 bytes
コンパイル時間 2,487 ms
コンパイル使用メモリ 222,188 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-05-10 06:55:32
合計ジャッジ時間 3,290 ms
ジャッジサーバーID
（参考情報） 		judge4 / 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
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 2 ms
5,376 KB
testcase_18 AC 2 ms
5,376 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 2 ms
5,376 KB
testcase_21 AC 2 ms
5,376 KB
testcase_22 AC 2 ms
5,376 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 # 

// URL : https://yukicoder.me/problems/no/3081
#pragma region optimize
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma endregion
#include <bits/stdc++.h>
using namespace std;
// #include <atcoder/all>
#pragma region boost multiprecision
// #include <boost/multiprecision/cpp_dec_float.hpp>
// #include <boost/multiprecision/cpp_int.hpp>
// using Bint       = boost::multiprecision::cpp_int;
// using Bfloat32   = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<32>>;
// using Bfloat1024 = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<1024>>;
#pragma endregion
// #define int long long
// #define endl '\n'

#pragma region TEMPLATE
// clang-format off
/* TYPE */
typedef long long ll;       typedef long double ld;
typedef pair<int, int> pii; typedef pair<ll, ll> pll;
typedef vector<pii> vpii;   typedef vector<pll> vpll;
typedef vector<int> vi;     typedef vector<ll> vl;
typedef vector<string> vst; typedef vector<bool> vb;
typedef vector<ld> vld;     typedef vector<vector<int>> vvi;
template<typename T, typename Cmp = less<>> using prique = priority_queue<T, vector<T>, Cmp>;
template<typename T> using prique_r = prique<T, greater<>>;
/* CONSTANT */
#define ln '\n'
const int INF = 1 << 30;    const ll INFF = 1LL << 60;  const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const int MOD = 1e9 + 7;    const int MODD = 998244353; const string alphabet = "abcdefghijklmnopqrstuvwxyz";
const double EPS = 1e-9;    const ld PI = 3.14159265358979323846264338327950288;
const int dx[] = { 1, 0, -1,  0,  1, -1, -1, 1, 0 };
const int dy[] = { 0, 1,  0, -1, -1, -1,  1, 1, 0 };
/* CONTAINER */
#define PB              emplace_back
#define ALL(v)          (v).begin(), (v).end()
#define RALL(v)         (v).rbegin(), (v).rend()
#define SORT(v)         sort(ALL(v))
#define RSORT(v)        sort(RALL(v))
#define LESS(x, val)    (lower_bound(x.begin(), x.end(), val) - x.begin())
#define LEQ(x, val)     (upper_bound(x.begin(), x.end(), val) - x.begin())
#define GREATER(x, val) (int)(x).size() - LEQ((x), (val))
#define GEQ(x, val)     (int)(x).size() - LESS((x), (val))
#define UNIQUE(v)       sort(ALL(v)); (v).erase(unique(ALL(v)), (v).end())
template<typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template<typename T, typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...)); }
template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value != 0> fill_v(U &u, const V... v) { u = U(v...); }
template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value == 0> fill_v(U &u, const V... v) { for (auto &e : u) fill_v<T>(e, v...); }
/* LOOP */
#define _overload3(_1, _2, _3, name, ...) name
#define _REP(i, n)      REPI(i, 0, n)
#define REPI(i, a, b)   for (ll i = (ll)a; i < (ll)b; ++i)
#define REP(...)        _overload3(__VA_ARGS__, REPI, _REP,)(__VA_ARGS__)
#define _RREP(i, n)     RREPI(i, n, 0)
#define RREPI(i, a, b)  for (ll i = (ll)a; i >= (ll)b; --i)
#define RREP(...)       _overload3(__VA_ARGS__, RREPI, _RREP,)(__VA_ARGS__)
#define EACH(e, v)      for (auto& e : v)
#define PERM(v)         sort(ALL(v)); for (bool c##p = true; c##p; c##p = next_permutation(ALL(v)))
/* INPUT */
template<typename T> void SSS(T& t) { cin >> t; }
template<typename Head, typename... Tail> void SSS(Head&& head, Tail&&... tail) { cin >> head; SSS(tail...); }
#define SS(T, ...)      T __VA_ARGS__; SSS(__VA_ARGS__);
#define SV(T, v, n)     vector<T> v(n); for (auto& i : v) cin >> i;
#define SVV(T, v, n, m) vector<vector<T>> v(n, vector<T>(m)); for (auto& r : v) for (auto& i : r) cin >> i;
/* OUTPUT */
// Yes / No
inline int YES(bool x) { cout << (x ? "YES"  : "NO") << endl; return 0; }
inline int Yes(bool x) { cout << (x ? "Yes"  : "No") << endl; return 0; }
inline int yes(bool x) { cout << (x ? "yes"  : "no") << endl; return 0; }
inline int yES(bool x) { cout << (x ? "yES"  : "nO") << endl; return 0; }
inline int Yay(bool x) { cout << (x ? "Yay!" : ":(") << endl; return 0; }
// PROTOTYPE DECLARATION
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j);
template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t);
template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)> = nullptr> ostream& operator<<(ostream &os, const C &c);
template<typename T> ostream &operator<<(ostream &os, const stack<T> &j);
template<typename T> ostream &operator<<(ostream &os, const queue<T> &j);
template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j);
// IMPLEMENTATION
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j) { return os << '{' << j.first << ", " << j.second << '}'; }
template<size_t num = 0, typename... T> enable_if_t<num == sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) {}
template<size_t num = 0, typename... T> enable_if_t<num <  sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) { os << get<num>(t); if (num + 1 < sizeof...(T)) os << ", "; PRINT_TUPLE<num + 1>(os, t); }
template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { PRINT_TUPLE(os << '{', t); return os << '}'; }
template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)>> ostream& operator<<(ostream &os, const C &c) { os << '{'; for (auto it = begin(c); it != end(c); it++) { if (begin(c) != it) os << ", "; os << *it; } return os << '}'; }
template<typename T> ostream &operator<<(ostream &os, const stack<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top());  return os << d; }
template<typename T> ostream &operator<<(ostream &os, const queue<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_back(c.front()); return os << d; }
template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top());  return os << d; }
// OUTPUT FUNCTION
template<typename T> int PV(T &v) { int sz = v.size(); for (int i = 0; i < sz; ++i) cout << v[i] << " \n"[i == sz - 1]; return 0; }
inline int print() { cout << endl; return 0; }
template<typename Head> int print(Head&& head){ cout << head; return print(); }
template<typename Head, typename... Tail> int print(Head&& head, Tail&&... tail) { cout << head << " "; return print(forward<Tail>(tail)...); }
#ifdef LOCAL
inline void dump() { cerr << endl; }
template<typename Head> void dump(Head&& head) { cerr << head; dump(); }
template<typename Head, typename... Tail> void dump(Head&& head, Tail&&... tail) { cerr << head << ", "; dump(forward<Tail>(tail)...); }
#define debug(...) do {cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false)
#else
#define dump(...)
#define debug(...)
#endif
/* OTHER */
#define fi              first
#define se              second
#define MP              make_pair
#define MT              make_tuple
template<typename T, typename A, typename B> inline bool between(T x, A a, B b) { return ((a <= x) && (x < b)); }
template<typename A, typename B> inline bool chmax(A &a, const B &b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A &a, const B &b) { if (a > b) { a = b; return true; } return false; }
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
inline ll POW(ll a, ll b) { ll r = 1; do { if (b & 1)  r *= a; a *= a; } while (b >>= 1); return r; }
struct abracadabra {
    abracadabra() {
        cin.tie(nullptr); ios::sync_with_stdio(false);
        cout << fixed << setprecision(20);
        cerr << fixed << setprecision(5);
    };
} ABRACADABRA;
// clang-format on
#pragma endregion
#pragma region string / rollinghash.hpp
/**
* @brief ローリングハッシュ
* @docs docs/string/rollinghash.md
*/

using hash_type = unsigned long long;
template <int mod, int base = 10007>
struct RollingHash {
    vector<hash_type> hsh, pwr;
    hash_type umod(hash_type n) { return (n % mod + mod) % mod; }
    RollingHash() {}
    RollingHash(const string &s) {
        int sz = (int)s.size();
        hsh.assign(sz + 1, 0);
        pwr.assign(sz + 1, 0);
        pwr[0] = 1;
        for (int i = 0; i < sz; ++i) {
            if (sz > i) hsh[i + 1] = umod(hsh[i] * base + s[i]);
            pwr[i + 1] = umod(pwr[i] * base);
        }
    }
    // [l, r)
    hash_type get(int l, int r) {
        return umod(hsh[r] % mod + mod - hsh[l] * pwr[r - l] % mod);
    }
    // h1 <- h2
    hash_type join(hash_type h1, hash_type h2, int h2_sz) {
        return umod(h1 * pwr[h2_sz] + h2);
    }
    // [idx, len_s) + [0, idx)
    hash_type rotate(hash_type idx, int len_s) {
        return join(get(idx, len_s), get(0, idx), idx);
    }
};
using RH1 = RollingHash<(int)1e9 + 7>;
using RH2 = RollingHash<(int)1e9 + 9>;
using RH = tuple<RH1, RH2>;
using H = tuple<hash_type, hash_type>;
RH init(const string &s) {
    return make_tuple(RH1(s), RH2(s));
}
H get(RH &rh, int l, int r) {
    return make_tuple(get<0>(rh).get(l, r), get<1>(rh).get(l, r));
}
H rotate(RH &rh, int n, int sz) {
    return make_tuple(get<0>(rh).rotate(n, sz), get<1>(rh).rotate(n, sz));
}
#pragma endregion
#pragma region datastructure / cumulativesum / cumulativesum.hpp
/**
* @brief 1次元累積和
* @docs docs/datastructure/cumulativesum/cumulativesum.md
*/

template <typename T>
struct CumulativeSum {
    int sz;
    vector<T> data;
    CumulativeSum(const vector<T> &v, const T margin = 0)
        : sz(v.size()), data(1, margin) {
        for (int i = 0; i < sz; ++i) data.emplace_back(data[i] + v[i]);
    }
    T query(const int &l, const int &r) const {
        if (l >= r) return 0;
        return data[min(r, sz)] - data[max(l, 0)];
    }
    T operator[](const int &k) const {
        return query(k, k + 1);
    }
    void print() {
        for (int i = 0; i < sz; ++i) cerr << data[i] << ' ';
        cerr << endl;
    }
};
#pragma endregion
#pragma region math / prime / divisor.hpp
/**
 * @brief Divisor (約数)
 * @docs docs/math/prime/divisor.md
 */

vector<long long> divisor(const long long n) {
    vector<long long> ret;
    for (long long i = 1; i * i <= n; ++i) {
        if (n % i == 0) {
            ret.emplace_back(i);
            if (i * i != n) ret.emplace_back(n / i);
        }
    }
    return ret;
}
#pragma endregion

int solve();

signed main() {
    // int _T; cin >> _T; for (int t = 1; t <= _T; ++t)
    solve();
}

int solve() {

    SS(int, N);
    SS(string, S);

    if (S.find('H') != string::npos) {
        return print(-1);
    }

    int q = 0;
    EACH (e, S) {
        if (e == 'Q')
            q += 1;
    }

    if (q == 0) {
        return print(-1);
    }
    if (q == 1) {
        return print(S);
    }

    RH rh = init(S);
    vector<int> vec(N, 0);
    REP (i, N)
        vec[i] = S[i] == 'Q';
    CumulativeSum<int> acc(vec);

    auto div = divisor(N);
    EACH (d, div) {
        if (acc.query(0, d) != N / d) continue;
        set<H> st;
        for (int i = 0; i < N; i += d) {
            st.emplace(get(rh, i, i + d));
        }
        if (st.size() != 1) continue;
        return print(S.substr(0, d));
    }
    print(-1);

    return 0;
}
0