#941044 (C++23) No.1270 Range Arrange Query

提出ソース
結果

問題	No.1270 Range Arrange Query
ユーザー	👑 rin204
提出日時	2023-12-29 16:38:47
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	632 ms / 7,000 ms
コード長	14,899 bytes
コンパイル時間	4,083 ms
コンパイル使用メモリ	270,588 KB
実行使用メモリ	6,948 KB
最終ジャッジ日時	2024-09-27 16:16:10
合計ジャッジ時間	7,566 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 6,816 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,948 KB
testcase_05	AC	2 ms 6,940 KB
testcase_06	AC	39 ms 6,940 KB
testcase_07	AC	357 ms 6,940 KB
testcase_08	AC	55 ms 6,944 KB
testcase_09	AC	239 ms 6,944 KB
testcase_10	AC	248 ms 6,940 KB
testcase_11	AC	606 ms 6,940 KB
testcase_12	AC	626 ms 6,944 KB
testcase_13	AC	632 ms 6,940 KB
testcase_14	AC	20 ms 6,940 KB
testcase_15	AC	36 ms 6,940 KB
testcase_16	AC	36 ms 6,940 KB
testcase_17	AC	35 ms 6,940 KB
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ソースコード

raw source code
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

namespace templates {
// type
using ll  = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...)                                                                   \
    vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));

// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)

// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on

// const value
const ll MOD1   = 1000000007;
const ll MOD9   = 998244353;
const double PI = acos(-1);

// other macro
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)

// function
vector<char> stoc(string &S) {
    int n = S.size();
    vector<char> ret(n);
    for (int i = 0; i < n; i++) ret[i] = S[i];
    return ret;
}
string ctos(vector<char> &S) {
    int n      = S.size();
    string ret = "";
    for (int i = 0; i < n; i++) ret += S[i];
    return ret;
}

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 T, class S>
auto clamp(T &a, const S &l, const S &r) {
    return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
    auto b = clamp(a, l, r);
    return (a != b ? a = b, 1 : 0);
}

template <typename T>
T sum(vector<T> &A) {
    T tot = 0;
    for (auto a : A) tot += a;
    return tot;
}

template <typename T>
vector<T> compression(vector<T> X) {
    sort(all(X));
    X.erase(unique(all(X)), X.end());
    return X;
}

// input and output
namespace io {

// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << ' ';
    }
    return os;
}

// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
    is >> A.first >> A.second;
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
    os << A.first << ' ' << A.second;
    return os;
}

// vector<pair<S, T>>
template <typename S, typename T>
istream &operator>>(istream &is, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        is >> A[i];
    }
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// tuple
template <typename T, size_t N>
struct TuplePrint {
    static ostream &print(ostream &os, const T &t) {
        TuplePrint<T, N - 1>::print(os, t);
        os << ' ' << get<N - 1>(t);
        return os;
    }
};
template <typename T>
struct TuplePrint<T, 1> {
    static ostream &print(ostream &os, const T &t) {
        os << get<0>(t);
        return os;
    }
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
    TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
    return os;
}

// io functions
void FLUSH() {
    cout << flush;
}

void print() {
    cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail)) cout << spa;
    print(std::forward<Tail>(tail)...);
}

template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << sep;
    }
    cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
    cout << A << end;
}
template <typename T>
void prispa(T A) {
    priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
    if (f)
        print(A);
    else
        print(B);
    return f;
}

template <class... T>
void inp(T &...a) {
    (cin >> ... >> a);
}

} // namespace io
using namespace io;

// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<int>> edges(n, vector<int>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        u -= indexed;
        v -= indexed;
        edges[u].push_back(v);
        if (!direct) edges[v].push_back(u);
    }
    return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
    return read_edges(n, n - 1, false, indexed);
}

template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        T w;
        inp(w);
        u -= indexed;
        v -= indexed;
        edges[u].push_back({v, w});
        if (!direct) edges[v].push_back({u, w});
    }
    return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}

// yes / no
namespace yesno {

// yes
inline bool yes(bool f = true) {
    cout << (f ? "yes" : "no") << endl;
    return f;
}
inline bool Yes(bool f = true) {
    cout << (f ? "Yes" : "No") << endl;
    return f;
}
inline bool YES(bool f = true) {
    cout << (f ? "YES" : "NO") << endl;
    return f;
}

// no
inline bool no(bool f = true) {
    cout << (!f ? "yes" : "no") << endl;
    return f;
}
inline bool No(bool f = true) {
    cout << (!f ? "Yes" : "No") << endl;
    return f;
}
inline bool NO(bool f = true) {
    cout << (!f ? "YES" : "NO") << endl;
    return f;
}

// possible
inline bool possible(bool f = true) {
    cout << (f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Possible(bool f = true) {
    cout << (f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool POSSIBLE(bool f = true) {
    cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// impossible
inline bool impossible(bool f = true) {
    cout << (!f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Impossible(bool f = true) {
    cout << (!f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool IMPOSSIBLE(bool f = true) {
    cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// Alice Bob
inline bool Alice(bool f = true) {
    cout << (f ? "Alice" : "Bob") << endl;
    return f;
}
inline bool Bob(bool f = true) {
    cout << (f ? "Bob" : "Alice") << endl;
    return f;
}

// Takahashi Aoki
inline bool Takahashi(bool f = true) {
    cout << (f ? "Takahashi" : "Aoki") << endl;
    return f;
}
inline bool Aoki(bool f = true) {
    cout << (f ? "Aoki" : "Takahashi") << endl;
    return f;
}

} // namespace yesno
using namespace yesno;

} // namespace templates
using namespace templates;

template <typename T>
struct BIT {
    int n;
    std::vector<T> tree;

    BIT(int n) : n(n) {
        tree.assign(n + 1, T(0));
    }
    BIT() {}
    T _sum(int i) {
        i++;
        T res = T(0);
        while (i > 0) {
            res += tree[i];
            i -= i & -i;
        }
        return res;
    }

    T sum(int l, int r) {
        return _sum(r - 1) - _sum(l - 1);
    }

    T sum(int r) {
        return _sum(r - 1);
    }

    T get(int i) {
        return _sum(i) - _sum(i - 1);
    }

    void add(int i, T x) {
        i++;
        while (i <= n) {
            tree[i] += x;
            i += i & -i;
        }
    }

    int lower_bound(T x) {
        int pos  = 0;
        int plus = 1;
        while (plus * 2 <= n) plus *= 2;
        while (plus > 0) {
            if ((pos + plus <= n) && (tree[pos + plus] < x)) {
                x -= tree[pos + plus];
                pos += plus;
            }
            plus >>= 1;
        }
        return pos;
    }
};

struct Mo {
    int width, n;
    std::vector<int> L, R, ord;
    Mo(int n, int Q) : n(n) {
        width = std::max<int>(1, 1.0 * n / std::max<double>(1.0, std::sqrt(Q * 2.0 / 3.0)));
        ord.resize(Q);
        std::iota(ord.begin(), ord.end(), 0);
        L.reserve(Q);
        R.reserve(Q);
    }

    void insert(int l, int r) {
        L.emplace_back(l);
        R.emplace_back(r);
    }

    void add(int l, int r) {
        insert(l, r);
    }

    template <typename AL, typename AR, typename DL, typename DR, typename REM>
    void run(const AL &add_left, const AR &add_right, const DL &delete_left, const DR &delete_right,
             const REM &rem) {
        assert(L.size() == ord.size());
        std::sort(ord.begin(), ord.end(), [&](int i, int j) {
            int bi = L[i] / width;
            int bj = L[j] / width;
            if (bi != bj) return bi < bj;
            if (bi & 1) return R[i] < R[j];
            return R[i] > R[j];
        });

        int l = 0;
        int r = 0;

        for (auto i : ord) {
            while (l > L[i]) add_left(--l);
            while (r < R[i]) add_right(r++);
            while (l < L[i]) delete_left(l++);
            while (r > R[i]) delete_right(--r);
            rem(i);
        }
    }
};

template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S), F (*composition)(F, F),
          F (*id)()>
struct lazy_segtree {
  public:
    explicit lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
        size = 1;
        log  = 0;
        while (size < _n) {
            log++;
            size <<= 1;
        }
        d  = std::vector<S>(2 * size, e());
        lz = std::vector<F>(size, id());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) update(i);
    }
    explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}

    S prod(int l, int r) {
        if (l == r) return e();

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        S sml = e(), smr = e();
        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }
        return op(sml, smr);
    }

    S get(int x) {
        return prod(x, x + 1);
    }

    S all_prod() {
        return d[1];
    }

    void apply(int l, int r, F f) {
        if (l == r) return;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while (l < r) {
                if (l & 1) all_apply(l++, f);
                if (r & 1) all_apply(--r, f);
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }

        for (int i = 1; i <= log; i++) {
            if (((l >> i) << i) != l) update(l >> i);
            if (((r >> i) << i) != r) update((r - 1) >> i);
        }
    }

  private:
    int _n, size, log;
    std::vector<S> d;
    std::vector<F> lz;
    void update(int k) {
        d[k] = op(d[2 * k], d[2 * k + 1]);
    }
    void all_apply(int k, F f) {
        d[k] = mapping(f, d[k]);
        if (k < size) lz[k] = composition(f, lz[k]);
    }
    void push(int k) {
        all_apply(2 * k, lz[k]);
        all_apply(2 * k + 1, lz[k]);
        lz[k] = id();
    }
};

using S = ll;
S op(S l, S r) {
    return l < r ? l : r;
}
S e() {
    return 1LL << 60;
}
using F = ll;
S mapping(F f, S x) {
    return f + x;
}
F composition(F f, F g) {
    return f + g;
}
F id() {
    return 0;
}

void solve() {
    INT(n, Q);
    VEC(ll, A, n);
    for (auto &a : A) a--;
    Mo mo(n, Q);
    fori(Q) {
        INT(l, r);
        mo.add(--l, r);
    }

    lazy_segtree<S, op, e, F, mapping, composition, id> seg(vector<S>(n, 0));
    for (auto a : A) {
        seg.apply(a + 1, n, 1);
    }

    BIT<ll> bitL(n), bitR(n);
    ll inv = 0;
    for (auto a : A) {
        inv += bitR.sum(a + 1, n);
        bitR.add(a, 1);
    }

    vec(ll, ans, Q);
    ll l    = 0;
    ll r    = 0;
    auto al = [&](int) {
        l--;
        seg.apply(0, A[l], -1);
        inv -= bitR.sum(0, A[l]);
        inv -= bitL.sum(A[l] + 1, n);
        bitL.add(A[l], -1);
    };
    auto ar = [&](int) {
        seg.apply(A[r] + 1, n, -1);
        inv -= bitR.sum(0, A[r]);
        inv -= bitL.sum(A[r] + 1, n);
        bitR.add(A[r], -1);
        r++;
    };
    auto dl = [&](int) {
        seg.apply(0, A[l], 1);
        inv += bitR.sum(0, A[l]);
        inv += bitL.sum(A[l] + 1, n);
        bitL.add(A[l], 1);
        l++;
    };
    auto dr = [&](int) {
        r--;
        seg.apply(A[r] + 1, n, 1);
        inv += bitR.sum(0, A[r]);
        inv += bitL.sum(A[r] + 1, n);
        bitR.add(A[r], 1);
    };
    auto q = [&](int i) { ans[i] = seg.all_prod() * (r - l) + inv; };
    mo.run(al, ar, dl, dr, q);

    prisep(ans, "\n");
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    // cout << fixed << setprecision(12);
    int t;
    t = 1;
    // cin >> t;
    while (t--) solve();
    return 0;
}
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結果

テストケース

ソースコード
