結果

問題 No.1300 Sum of Inversions
ユーザー AC2KAC2K
提出日時 2024-01-22 11:56:41
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 107 ms / 2,000 ms
コード長 12,847 bytes
コンパイル時間 3,295 ms
コンパイル使用メモリ 259,488 KB
実行使用メモリ 7,816 KB
最終ジャッジ日時 2024-09-28 06:22:50
合計ジャッジ時間 7,360 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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 82 ms
6,712 KB
testcase_04 AC 85 ms
6,644 KB
testcase_05 AC 65 ms
6,044 KB
testcase_06 AC 92 ms
7,188 KB
testcase_07 AC 90 ms
7,140 KB
testcase_08 AC 103 ms
7,400 KB
testcase_09 AC 98 ms
7,516 KB
testcase_10 AC 53 ms
5,668 KB
testcase_11 AC 52 ms
5,556 KB
testcase_12 AC 85 ms
6,660 KB
testcase_13 AC 82 ms
6,660 KB
testcase_14 AC 107 ms
7,764 KB
testcase_15 AC 102 ms
7,236 KB
testcase_16 AC 83 ms
6,948 KB
testcase_17 AC 52 ms
5,612 KB
testcase_18 AC 63 ms
5,836 KB
testcase_19 AC 72 ms
6,268 KB
testcase_20 AC 77 ms
6,444 KB
testcase_21 AC 72 ms
6,440 KB
testcase_22 AC 67 ms
6,040 KB
testcase_23 AC 93 ms
7,180 KB
testcase_24 AC 70 ms
6,076 KB
testcase_25 AC 57 ms
5,804 KB
testcase_26 AC 56 ms
5,664 KB
testcase_27 AC 64 ms
5,940 KB
testcase_28 AC 105 ms
7,460 KB
testcase_29 AC 70 ms
6,292 KB
testcase_30 AC 99 ms
7,380 KB
testcase_31 AC 66 ms
6,180 KB
testcase_32 AC 71 ms
6,080 KB
testcase_33 AC 60 ms
7,780 KB
testcase_34 AC 63 ms
7,816 KB
testcase_35 AC 69 ms
7,812 KB
testcase_36 AC 72 ms
7,812 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 # 

#line 1 "Library/src/debug.hpp"
#ifdef ONLINE_JUDGE
#define debug(x) void(0)
#else
#define _GLIBCXX_DEBUG
#define debug(x) std::cerr << __LINE__ << " : " << #x << " = " << (x) << std::endl
#endif
#line 2 "Library/src/stream.hpp"
#include <ctype.h>
#include <stdio.h>
#include <string>
#line 2 "Library/src/internal/type_traits.hpp"
#include <iostream>
#include <limits>
#include <numeric>
#include <typeinfo>
#include <cstdint>

namespace kyopro {
namespace internal {
template <typename... Args> struct first_enabled {};

template <typename T, typename... Args>
struct first_enabled<std::enable_if<true, T>, Args...> {
    using type = T;
};
template <typename T, typename... Args>
struct first_enabled<std::enable_if<false, T>, Args...>
    : first_enabled<Args...> {};
template <typename T, typename... Args> struct first_enabled<T, Args...> {
    using type = T;
};

template <typename... Args>
using first_enabled_t = typename first_enabled<Args...>::type;

template <int dgt, std::enable_if_t<dgt <= 128>* = nullptr> struct int_least {
    using type = first_enabled_t<std::enable_if<dgt <= 8, std::int8_t>,
                                 std::enable_if<dgt <= 16, std::int16_t>,
                                 std::enable_if<dgt <= 32, std::int32_t>,
                                 std::enable_if<dgt <= 64, std::int64_t>,
                                 std::enable_if<dgt <= 128, __int128_t>>;
};

template <int dgt, std::enable_if_t<dgt <= 128>* = nullptr> struct uint_least {
    using type = first_enabled_t<std::enable_if<dgt <= 8, std::uint8_t>,
                                 std::enable_if<dgt <= 16, std::uint16_t>,
                                 std::enable_if<dgt <= 32, std::uint32_t>,
                                 std::enable_if<dgt <= 64, std::uint64_t>,
                                 std::enable_if<dgt <= 128, __uint128_t>>;
};

template <int dgt> using int_least_t = typename int_least<dgt>::type;
template <int dgt> using uint_least_t = typename uint_least<dgt>::type;

template <typename T>
using double_size_uint_t = uint_least_t<2 * std::numeric_limits<T>::digits>;

template <typename T>
using double_size_int_t = int_least_t<2 * std::numeric_limits<T>::digits>;

struct modint_base {};
template <typename T> using is_modint = std::is_base_of<modint_base, T>;
template <typename T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;


// is_integral
template <typename T>
using is_integral_t =
    std::enable_if_t<std::is_integral_v<T> || std::is_same_v<T, __int128_t> ||
                   std::is_same_v<T, __uint128_t>>;
};  // namespace internal
};  // namespace kyopro

/*
 * @ref https://qiita.com/kazatsuyu/items/f8c3b304e7f8b35263d8
 */
#line 6 "Library/src/stream.hpp"

namespace kyopro {

inline void single_read(char& c) {
    c = getchar_unlocked();
    while (isspace(c)) c = getchar_unlocked();
}
template <typename T, internal::is_integral_t<T>* = nullptr>
inline void single_read(T& a) {
    a = 0;
    bool is_negative = false;
    char c = getchar_unlocked();
    while (isspace(c)) {
        c = getchar_unlocked();
    }
    if (c == '-') is_negative = true, c = getchar_unlocked();
    while (isdigit(c)) {
        a = 10 * a + (c - '0');
        c = getchar_unlocked();
    }
    if (is_negative) a *= -1;
}
template <typename T, internal::is_modint_t<T>* = nullptr>
inline void single_read(T& a) {
    long long x;
    single_read(x);
    a = T(x);
}
inline void single_read(std::string& str) noexcept {
    char c = getchar_unlocked();
    while (isspace(c)) c = getchar_unlocked();
    while (!isspace(c)) {
        str += c;
        c = getchar_unlocked();
    }
}
template<typename T>
inline void read(T& x) noexcept {single_read(x);}
template <typename Head, typename... Tail>
inline void read(Head& head, Tail&... tail) noexcept {
    single_read(head), read(tail...);
}

inline void single_write(char c) noexcept { putchar_unlocked(c); }
template <typename T, internal::is_integral_t<T>* = nullptr>
inline void single_write(T a) noexcept {
    if (!a) {
        putchar_unlocked('0');
        return;
    }
    if constexpr (std::is_signed_v<T>) {
        if (a < 0) putchar_unlocked('-'), a *= -1;
    }
    constexpr int d = std::numeric_limits<T>::digits10;
    char s[d + 1];
    int now = d + 1;
    while (a) {
        s[--now] = (char)'0' + a % 10;
        a /= 10;
    }
    while (now <= d) putchar_unlocked(s[now++]);
}
template <typename T, internal::is_modint_t<T>* = nullptr>
inline void single_write(T a) noexcept {
    single_write(a.val());
}
inline void single_write(const std::string& str) noexcept {
    for (auto c : str) {
        putchar_unlocked(c);
    }
}
template <typename T> inline void write(T x) noexcept { single_write(x); }
template <typename Head, typename... Tail>
inline void write(Head head, Tail... tail) noexcept {
    single_write(head);
    putchar_unlocked(' ');
    write(tail...);
}
template <typename... Args> inline void put(Args... x) noexcept {
    write(x...);
    putchar_unlocked('\n');
}
};  // namespace kyopro

/**
 * @brief 高速入出力
 */
#line 2 "Library/src/template.hpp"
#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); i++)
#define all(x) std::begin(x), std::end(x)
#define popcount(x) __builtin_popcountll(x)
using i128 = __int128_t;
using ll = long long;
using ld = long double;
using graph = std::vector<std::vector<int>>;
using P = std::pair<int, int>;
constexpr int inf = std::numeric_limits<int>::max() / 2;
constexpr ll infl = std::numeric_limits<ll>::max() / 2;
const long double pi = acosl(-1);
constexpr uint64_t MOD = 1e9 + 7;
constexpr uint64_t MOD2 = 998244353;
constexpr int dx[] = {1, 0, -1, 0, 1, -1, -1, 1, 0};
constexpr int dy[] = {0, 1, 0, -1, 1, 1, -1, -1, 0};
template <typename T1, typename T2> constexpr inline bool chmax(T1& a, T2 b) {
    return a < b && (a = b, true);
}
template <typename T1, typename T2> constexpr inline bool chmin(T1& a, T2 b) {
    return a > b && (a = b, true);
}
#line 4 "a.cpp"

#line 3 "Library/src/data-structure/BIT.hpp"
namespace kyopro {

template <typename T> class BIT {
    std::vector<T> bit;
    int n;

public:
    BIT() : BIT(0) {}
    BIT(int n) : n(n), bit(n + 1, T()) {}
    void add(int p, T w) {
        p++;
        for (int x = p; x <= n; x += x & -x) {
            bit[x] += w;
        }
    }

    T sum(int p) const {
        T s = 0;

        for (int x = p; x > 0; x -= x & -x) {
            s += bit[x];
        }
        return s;
    }

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

    int lower_bound(T w) const {
        if (w <= 0) return 0;

        int x = 0;
        int k = 1;
        while (k < n) k <<= 1;
        for (; k > 0; k >>= 1) {
            if (x + k <= n && bit[x + k] < w) {
                w -= bit[x + k];
                x += k;
            }
        }

        return x + 1;
    }

    T operator[](int i) { return sum(i + 1) - sum(i); }
    void update(int i, T v) { add(i, -sum(i + 1) + sum(i) + v); }
};
};  // namespace kyopro

/**
 * @brief Binary Index Tree
 */
#line 5 "Library/src/math/static_modint.hpp"

#line 4 "Library/src/math/gcd.hpp"
namespace kyopro {
template <typename T> constexpr inline T _gcd(T a, T b) noexcept {
    assert(a >= 0 && b >= 0);
    if (a == 0 || b == 0) return a + b;
    int d = std::min<T>(__builtin_ctzll(a), __builtin_ctzll(b));
    a >>= __builtin_ctzll(a), b >>= __builtin_ctzll(b);
    while (a != b) {
        if (!a || !b) {
            return a + b;
        }
        if (a >= b) {
            a -= b;
            a >>= __builtin_ctzll(a);
        } else {
            b -= a;
            b >>= __builtin_ctzll(b);
        }
    }

    return a << d;
}
template <typename T> constexpr inline T ext_gcd(T a, T b, T& x, T& y) noexcept {
    x = 1, y = 0;
    T nx = 0, ny = 1;
    while (b) {
        T q = a / b;
        std::tie(a, b) = std::pair<T, T>{b, a % b};
        std::tie(x, nx) = std::pair<T, T>{nx, x - nx * q};
        std::tie(y, ny) = std::pair<T, T>{ny, y - ny * q};
    }
    return a;
}
};  // namespace kyopro
#line 8 "Library/src/math/static_modint.hpp"
namespace kyopro {
template <int _mod, std::enable_if_t<_mod >= 0>* = nullptr>
class modint : internal::modint_base {
    using mint = modint<_mod>;
    using i32 = std::int32_t;
    using u32 = std::uint32_t;
    using i64 = std::int64_t;
    using u64 = std::uint64_t;

    u32 v;
    constexpr u32 normalize(i64 v_) const noexcept {
        v_ %= _mod;
        if (v_ < 0) {
            v_ += _mod;
        }
        return v_;
    }

public:
    static constexpr u32 mod() noexcept { return _mod; }
    constexpr modint() noexcept : v(0) {}
    constexpr modint(i64 v_) noexcept : v(normalize(v_)) {}

    static mint raw(u32 a) {
        mint m;
        m.v = a;
        return m;
    }
    constexpr u32 val() const noexcept { return v; }
    constexpr mint& operator+=(const mint& rhs) noexcept {
        v += rhs.val();
        if (v >= _mod) {
            v -= _mod;
        }
        return (*this);
    }
    constexpr mint& operator-=(const mint& rhs) noexcept {
        v += _mod - rhs.val();
        if (v >= _mod) {
            v -= _mod;
        }
        return (*this);
    }
    constexpr mint& operator*=(const mint& rhs) noexcept {
        v = (u64)v * rhs.val() % _mod;
        return (*this);
    }

    constexpr mint operator+(const mint& r) const noexcept {
        return mint(*this) += r;
    }
    constexpr mint operator-(const mint& r) const noexcept {
        return mint(*this) -= r;
    }
    constexpr mint operator*(const mint& r) const noexcept {
        return mint(*this) *= r;
    }

    constexpr mint& operator+=(i64 rhs) noexcept {
        (*this) += mint(rhs);
        return (*this);
    }
    constexpr mint& operator-=(i64 rhs) noexcept {
        (*this) -= mint(rhs);
        return (*this);
    }
    constexpr mint& operator*=(i64 rhs) noexcept {
        (*this) *= mint(rhs);
        return (*this);
    }
    constexpr friend mint operator+(i64 l, const mint& r) noexcept {
        return mint(l) += r;
    }
    constexpr friend mint operator-(i64 l, const mint& r) noexcept {
        return mint(l) -= r;
    }
    constexpr friend mint operator*(i64 l, const mint& r) noexcept {
        return mint(l) *= r;
    }

    constexpr mint operator+(i64 r) const noexcept { return mint(*this) += r; }
    constexpr mint operator-(i64 r) const noexcept { return mint(*this) -= r; }
    constexpr mint operator*(i64 r) const noexcept { return mint(*this) *= r; }

    constexpr mint& operator=(i64 r) noexcept { return (*this) = mint(r); }

    constexpr bool operator==(const mint& r) const noexcept {
        return (*this).val() == r.val();
    }

    template <typename T, internal::is_integral_t<T>* = nullptr>
    constexpr mint pow(T e) const noexcept {
        mint ans(1), base(*this);
        while (e) {
            if (e & 1) {
                ans *= base;
            }
            base *= base;
            e >>= 1;
        }
        return ans;
    }

    constexpr mint inv() const noexcept {
        long long x, y;
        auto d = ext_gcd((long long)_mod, (long long)v, x, y);
        assert(d == 1);
        return mint(y);
    }

    constexpr mint& operator/=(const mint& r) noexcept {
        return (*this) *= r.inv();
    }
    constexpr mint operator/(const mint& r) const noexcept {
        return mint(*this) *= r.inv();
    }
    constexpr friend mint operator/(const mint& l, i64 r) noexcept {
        return mint(l) /= mint(r);
    }
    constexpr friend mint operator/(i64 l, const mint& r) noexcept {
        return mint(l) /= mint(r);
    }
};
};  // namespace kyopro

/**
 * @brief static modint
 */
#line 7 "a.cpp"

using namespace std;
using namespace kyopro;

using mint = modint<998244353>;

int main() {
    int n;
    read(n);
    vector<int> a(n);
    rep(i, n) read(a[i]);

    vector<int> pressed(n);
    {
        vector va = a;
        sort(all(va));
        va.erase(unique(all(va)), va.end());
        rep(i, n) pressed[i] = lower_bound(all(va), a[i]) - va.begin();
    }

    vector<mint> cnt_ij(n), sum_ij(n);
    {
        BIT<mint> cnt_fw(n), sum_fw(n);
        rep(i, n) {
            cnt_ij[i] = cnt_fw.sum(pressed[i] + 1, n);
            sum_ij[i] = mint(a[i]) * cnt_fw.sum(pressed[i] + 1, n) +
                        sum_fw.sum(pressed[i] + 1, n);

            cnt_fw.add(pressed[i], mint::raw(1));
            sum_fw.add(pressed[i], mint(a[i]));
        }
    }

    // rep(i, n) put(cnt_ij[i], sum_ij[i]);

    mint ans = 0;
    {
        BIT<mint> cnt_fw(n), sum_fw(n);
        rep(i, n) {
            ans += mint(a[i]) * cnt_fw.sum(pressed[i] + 1, n) +
                     sum_fw.sum(pressed[i] + 1, n);

            cnt_fw.add(pressed[i], cnt_ij[i]);
            sum_fw.add(pressed[i], sum_ij[i]);
        }
    }

    put(ans);
}
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