#713460 (C++17) No.1733 Sum of Sorted Subarrays

提出ソース
結果

問題	No.1733 Sum of Sorted Subarrays
ユーザー	haruki_K
提出日時	2021-11-05 22:38:03
言語	C++17 (gcc 13.2.0 + boost 1.83.0)
結果	AC
実行時間	468 ms / 3,000 ms
コード長	14,252 bytes
コンパイル時間	2,451 ms
コンパイル使用メモリ	215,812 KB
実行使用メモリ	10,960 KB
最終ジャッジ日時	2023-08-06 10:35:29
合計ジャッジ時間	10,322 ms
ジャッジサーバーID （参考情報）	judge13 / judge15
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	1 ms 4,376 KB
testcase_01	AC	1 ms 4,380 KB
testcase_02	AC	1 ms 4,380 KB
testcase_03	AC	1 ms 4,376 KB
testcase_04	AC	1 ms 4,376 KB
testcase_05	AC	1 ms 4,376 KB
testcase_06	AC	2 ms 4,376 KB
testcase_07	AC	2 ms 4,376 KB
testcase_08	AC	239 ms 7,572 KB
testcase_09	AC	364 ms 9,704 KB
testcase_10	AC	210 ms 7,020 KB
testcase_11	AC	274 ms 8,040 KB
testcase_12	AC	295 ms 8,264 KB
testcase_13	AC	295 ms 8,480 KB
testcase_14	AC	445 ms 10,632 KB
testcase_15	AC	396 ms 9,888 KB
testcase_16	AC	214 ms 7,152 KB
testcase_17	AC	440 ms 10,684 KB
testcase_18	AC	333 ms 9,100 KB
testcase_19	AC	358 ms 9,372 KB
testcase_20	AC	319 ms 8,844 KB
testcase_21	AC	400 ms 9,912 KB
testcase_22	AC	256 ms 7,788 KB
testcase_23	AC	465 ms 10,948 KB
testcase_24	AC	466 ms 10,920 KB
testcase_25	AC	468 ms 10,960 KB
testcase_26	AC	284 ms 10,952 KB
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ソースコード

raw source code
// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i, n) for (int i = (int)(n); i >= 1; i--)
#define loop(i, a, B) for (int i = a; i B; i++)
#define loopR(i, a, B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define rng(x, l, r) begin(x) + (l), begin(x) + (r)
#define pb push_back
#define eb emplace_back
#define fst first
#define snd second
template <class A, class B> constexpr auto mp(A &&a, B &&b) { return make_pair(forward<A>(a), forward<B>(b)); }
template <class... T> constexpr auto mt(T&&... x) { return make_tuple(forward<T>(x)...); }
template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf_<int32_t>;
auto constexpr INF64 = inf_<int64_t>;
auto constexpr INF   = inf_<int>;
#ifdef LOCAL
#include "debug.hpp"
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } };
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; }
template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T, d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T, 0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T, d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
constexpr int64_t mod(int64_t x, int64_t m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; }
constexpr int64_t div_floor(int64_t x, int64_t y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); }
constexpr int64_t div_ceil(int64_t x, int64_t y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); }
constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 };
constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
mt19937_64 seed_{random_device{}()};
template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); }
i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b]
u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } //
template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); }
template <class V> V &operator--(V &v) { for (auto &x : v) --x; return v; }
template <class V> V &operator++(V &v) { for (auto &x : v) ++x; return v; }
// <<<
// >>> modint

template <uint32_t md>
class modint {
    static_assert(md < (1u<<31), "");
    using M = modint;
    using i64 = int64_t;
    uint32_t x;
public:
    static constexpr uint32_t mod = md;
    constexpr modint(i64 x = 0) : x((x%=md) < 0 ? x+md : x) { }
    constexpr i64 val() const { return x; }
    constexpr explicit operator i64() const { return x; }
    constexpr bool operator==(M r) const { return x == r.x; }
    constexpr bool operator!=(M r) const { return x != r.x; }
    constexpr M operator+() const { return *this; }
    constexpr M operator-() const { return M()-*this; }
    constexpr M& operator+=(M r) { x += r.x; x = (x < md ? x : x-md); return *this; }
    constexpr M& operator-=(M r) { x += md-r.x; x = (x < md ? x : x-md); return *this; }
    constexpr M& operator*=(M r) { x = (uint64_t(x)*r.x)%md; return *this; }
    constexpr M& operator/=(M r) { return *this *= r.inv(); }
    constexpr M operator+(M r) const { return M(*this) += r; }
    constexpr M operator-(M r) const { return M(*this) -= r; }
    constexpr M operator*(M r) const { return M(*this) *= r; }
    constexpr M operator/(M r) const { return M(*this) /= r; }
    friend constexpr M operator+(i64 x, M y) { return M(x)+y; }
    friend constexpr M operator-(i64 x, M y) { return M(x)-y; }
    friend constexpr M operator*(i64 x, M y) { return M(x)*y; }
    friend constexpr M operator/(i64 x, M y) { return M(x)/y; }
    constexpr M inv() const { assert(x > 0); return pow(md-2); }
    constexpr M pow(i64 n) const {
        assert(not (x == 0 and n == 0));
        if (n < 0) return inv().pow(-n);
        M v = *this, r = 1;
        for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v;
        return r;
    }
#ifdef LOCAL
    friend string to_s(M r) { return to_s(r.val(), mod); }
#endif
    friend ostream& operator<<(ostream& os, M r) { return os << r.val(); }
    friend istream& operator>>(istream& is, M &r) { i64 x; is >> x; r = x; return is; }
};

// <<<
constexpr int64_t MOD = 998244353;
//constexpr int64_t MOD = 1e9+7;
using mint = modint<MOD>;
mint sign(int n) { return n & 1 ? -1 : +1; }
// >>> mod table

template <class mint> struct ModTable {
    vector<mint> fact, finv;
    void calc(int n) {
        int old = fact.size();
        if (n < old) return;
        n += 1000;
        fact.resize(n+1);
        finv.resize(n+1);
        if (old == 0) {
            fact[0] = fact[1] = finv[0] = finv[1] = 1;
            old = 2;
        }
        for (auto i = old; i <= n; i++) fact[i] = fact[i-1] * i;
        finv[n] = mint(1) / fact[n];
        for (auto i = n-1; i >= old; i--) finv[i] = finv[i+1] * (i+1);
    }
};
ModTable<mint> mod_tab;

mint fact(int n) {
    assert(0 <= n);
    return mod_tab.calc(n), mod_tab.fact[n];
}
mint finv(int n) {
    assert(0 <= n);
    return mod_tab.calc(n), mod_tab.finv[n];
}
mint comb(int n, int k) {
    if (n < 0 || k < 0 || n < k) return 0;
    mod_tab.calc(n);
    return mod_tab.fact[n] * mod_tab.finv[k] * mod_tab.finv[n-k];
}
mint perm(int n, int k) {
    assert(k >= 0); assert(n >= k);
    mod_tab.calc(n);
    return mod_tab.fact[n] * mod_tab.finv[n-k];
}

// <<<
// >>> lazy segment tree
template <class Handler> struct LazySegtree : Handler {
    using Value  = typename Handler::Value;
    using Action = typename Handler::Action;
    using Handler::unit_value;  // () -> Value
    using Handler::unit_action; // () -> Action
    using Handler::merge;       // (Value, Value) -> Value
    using Handler::compose;     // (Action, Action) -> Action
    using Handler::act;         // (Action, Value) -> Value

    vector<Value> v;
    vector<Action> a;
    int n, lg;

    LazySegtree() {}
    template <class... T> LazySegtree(T&&... x) { init(forward<T>(x)...); }

    template <class F, class = decltype(declval<F>()(0))>
    void init(int n, F gen)  {
        assert(n >= 0);
        this->n = n;
        this->lg = (n == 0 ? 0 : __lg(2*n-1));
        v.resize(2*n);
        a.assign(n, unit_action());
        for (int i = 0; i < n; i++) v[n+i] = gen(i);
        for (int i = n-1; i >= 1; i--) v[i] = merge(v[i<<1], v[i<<1|1]);
    }
//    void init(int n) { init(n, [&](int) { return unit_value(); }); }
    void init(int n, Value const& x) { init(n, [&](int) { return x; }); }
    void init(vector<Value> const& v) { init(v.size(), [&](int i) { return v[i]; }); }
    int size() const { return n; }

    void act_at(Action const& x, int i) {
        if (i < n) a[i] = compose(x, a[i]);
        v[i] = act(x, v[i]);
    }
    void flush(int k) {
        if (n <= k || a[k] == unit_action()) return;
        act_at(a[k], k<<1);
        act_at(a[k], k<<1|1);
        a[k] = unit_action();
    }
    void flush(int l, int r) {
        for (int p = lg; p; --p) flush(l >> p), flush((r - 1) >> p);
    }
    Value get(int l, int r) {
        assert(0 <= l); assert(l <= r); assert(r <= n);
        l += n, r += n;
        flush(l, r);
        Value x = unit_value(), y = unit_value();
        for ( ; l < r; l >>= 1, r >>= 1) {
            if (l & 1) x = merge(x, v[l++]);
            if (r & 1) y = merge(v[--r], y);
        }
        return merge(x, y);
    }
    void build(int i) {
        i >>= __builtin_ctz(i);
        while (i >>= 1) v[i] = merge(v[i<<1], v[i<<1|1]);
    }
    void apply(int l, int r, Action const& x) {
        assert(0 <= l); assert(l <= r); assert(r <= n);
        l += n, r += n;
        flush(l, r);
        for (int a = l, b = r; a < b; a >>= 1, b >>= 1) {
            if (a & 1) act_at(x, a++);
            if (b & 1) act_at(x, --b);
        }
        build(l); build(r);
    }
    Value operator[](int i) const { return get(i); }
    Value get(int i) const {
        assert(0 <= i); assert(i < n);
        Value x = v[i += n];
        while (i >>= 1) x = act(a[i], x);
        return x;
    }
    void set(int i, Value const& x) {
        assert(0 <= i); assert(i < n);
        i += n;
        for (int p = lg; p; --p) flush(i >> p);
        v[i] = x;
        while (i >>= 1) v[i] = merge(v[i<<1], v[i<<1|1]);
    }
    template <class F> int max_right(int l, F f) {
        assert(0 <= l); assert(l <= size());
        assert(f(unit_value()));
        l += n;
        const int r = size() << 1;
        for (int p = lg; p; p--) flush(l >> p);
        Value x = unit_value();
        while (true) {
            if (l == r) return size();
            int k = __builtin_ctz(l | 1 << __lg(r - l));
            auto y = merge(x, v[l >> k]);
            if (not f(y)) { l >>= k; break; }
            x = y, l += 1 << k;
        }
        while (l < size()) {
            flush(l);
            auto y = merge(x, v[l <<= 1]);
            if (f(y)) x = y, l++;
        }
        return l - size();
    }
    template <class F> int min_left(int r, F f) {
        assert(0 <= r); assert(r <= size());
        assert(f(unit_value()));
        r += n;
        const int l = size();
        for (int p = lg; p; p--) flush((r - 1) >> p);
        Value x = unit_value();
        while (true) {
            if (l == r) return 0;
            int k = __builtin_ctz(r | 1 << __lg(r - l));
            auto y = merge(v[(r >> k) - 1], x);
            if (not f(y)) { r >>= k; --r; break; }
            x = y, r -= 1 << k;
        }
        while (r < size()) {
            flush(r);
            r = r << 1 | 1;
            auto y = merge(v[r], x);
            if (f(y)) x = y, r--;
        }
        return r + 1 - size();
    }
    vector<Value> dat() const {
        vector<Value> ret(size());
        for (int i = 0; i < size(); i++) ret[i] = get(i);
        return ret;
    }
};
template <class _Value, class _Action> struct Handler {
    using Value = _Value;
    using Action = _Action;
    constexpr static Value unit_value() { return {}; }
    constexpr static Action unit_action() { return {}; }
    constexpr static Value merge(Value const& x, Value const& y) { return x * y; }
    constexpr static Action compose(Action const& x, Action const& y) { return x * y; }
    constexpr static Value act(Action const& x, Value const& y) { return x(y); }
};
// <<<

struct SumMul {
    using Value = mint;
    using Action = mint;
    constexpr static Value unit_value() { return 0; }
    constexpr static Action unit_action() { return 1; }
    constexpr static Value merge(Value const& x, Value const& y) {
        return x + y;
    }
    constexpr static Action compose(Action const& x, Action const& y) {
        return x * y;
    }
    constexpr static Value act(Action const& x, Value const& y) {
        return x * y;
    }
};

int32_t main() {
    int n; cin >> n;
    vector<int> a(n); cin >> a;

    vector<int> idx(n);
    iota(all(idx), 0);
    sort(all(idx), [&](int i, int j) {
        return pair(a[i], i) < pair(a[j], j);
    });

    mint ans = 0;
    LazySegtree<SumMul> segL(n, 1), segR(n, 1);
    for (int k : idx) {
        auto L = segL.get(0, k+1) / segL[k];
        auto R = segR.get(k, n) / segR[k];
        ans += a[k] * L * R;
        segL.apply(0, k+1, 2);
        segR.apply(k, n, 2);
    }
    cout << ans << '\n';


}
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結果

テストケース

ソースコード
