結果

問題 No.1300 Sum of Inversions
ユーザー haruki_Kharuki_K
提出日時 2020-11-27 21:50:02
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 297 ms / 2,000 ms
コード長 12,282 bytes
コンパイル時間 2,902 ms
コンパイル使用メモリ 224,800 KB
実行使用メモリ 12,800 KB
最終ジャッジ日時 2024-07-26 12:15:30
合計ジャッジ時間 10,671 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
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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 214 ms
10,528 KB
testcase_04 AC 209 ms
10,364 KB
testcase_05 AC 167 ms
9,272 KB
testcase_06 AC 253 ms
11,440 KB
testcase_07 AC 239 ms
11,120 KB
testcase_08 AC 267 ms
11,896 KB
testcase_09 AC 263 ms
12,012 KB
testcase_10 AC 129 ms
8,208 KB
testcase_11 AC 130 ms
8,224 KB
testcase_12 AC 211 ms
10,500 KB
testcase_13 AC 201 ms
10,216 KB
testcase_14 AC 297 ms
12,656 KB
testcase_15 AC 265 ms
11,752 KB
testcase_16 AC 224 ms
10,684 KB
testcase_17 AC 125 ms
8,056 KB
testcase_18 AC 149 ms
8,676 KB
testcase_19 AC 178 ms
9,724 KB
testcase_20 AC 185 ms
9,624 KB
testcase_21 AC 184 ms
9,748 KB
testcase_22 AC 178 ms
9,140 KB
testcase_23 AC 253 ms
11,432 KB
testcase_24 AC 169 ms
9,424 KB
testcase_25 AC 140 ms
8,524 KB
testcase_26 AC 139 ms
8,632 KB
testcase_27 AC 160 ms
9,120 KB
testcase_28 AC 289 ms
12,056 KB
testcase_29 AC 185 ms
9,744 KB
testcase_30 AC 268 ms
11,832 KB
testcase_31 AC 164 ms
9,280 KB
testcase_32 AC 169 ms
9,436 KB
testcase_33 AC 24 ms
7,040 KB
testcase_34 AC 37 ms
6,944 KB
testcase_35 AC 150 ms
12,680 KB
testcase_36 AC 154 ms
12,800 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 # 

// >>> 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 double ld
#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 mp make_pair
#define fst first
#define snd second
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 > y) { x = y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < y) { x = 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); }
const int dx[] = { 1,0,-1,0,1,-1,-1,1 };
const int dy[] = { 0,1,0,-1,1,1,-1,-1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
// [a,b]
template <class Int> Int rand(Int a, Int b) { static mt19937_64 mt{random_device{}()}; return uniform_int_distribution<Int>(a,b)(mt); }
i64 irand(i64 a, i64 b) { return rand<i64>(a,b); }
u64 urand(u64 a, u64 b) { return rand<u64>(a,b); }
// <<<
// >>> 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 && 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 sgn(int n) { return n%2 == 0 ? +1 : -1; }
// >>> mod table
template <uint32_t mod>
struct ModTable {
    vector<uint32_t> fact = {1,1}, finv = {1,1}, inv = {0,1};
    void calc(int n) {
        int old = fact.size();
        if (n < old) return;
        fact.resize(n+1);
        finv.resize(n+1);
        inv.resize(n+1);
        for (uint32_t i = old; i <= n; i++) {
            fact[i] = uint64_t(fact[i-1])*i % mod;
            inv[i] = mod - uint64_t(inv[mod%i])*(mod/i) % mod;
            finv[i] = uint64_t(finv[i-1])*inv[i] % mod;
        }
    }
};
ModTable<MOD> mod_tab;

modint<MOD> fact(int n) {
    assert(0 <= n);
    return mod_tab.calc(n), mod_tab.fact[n];
}
modint<MOD> finv(int n) {
    assert(0 <= n);
    return mod_tab.calc(n), mod_tab.finv[n];
}
modint<MOD> C(int n, int k) {
    if (n < 0 || k < 0 || n < k) return 0;
    return fact(n)*finv(k)*finv(n-k);
}
modint<MOD> P(int n, int k) {
    assert(k >= 0); assert(n >= k);
    return fact(n)*finv(n-k);
}
// <<<

// >>> coordinate compression

template <class T>
struct Compress {
    vector<T> v;
    bool ok = false;
    void add(T const& x) { ok = false; v.push_back(x); }
    template <class V>
    void add(V const& u) { ok = false; copy(all(u), back_inserter(v)); }
    template <class... Ts>
    void add(Ts const&... xs) { (int[]){(add(xs),0)...}; }
    void init() { sort(all(v)); v.erase(unique(all(v)), v.end()); ok = true; }
    int size() const { return v.size(); }
    T operator[](int i) const { assert(ok); return v[i]; }
    int find(T const& x) const { assert(ok); auto it = lower_bound(all(v),x); assert(*it == x); return it-v.begin(); }
    void set(T& x) const { x = find(x); }
    template <class V>
    void set(V& u) const { for (auto &x : u) x = find(x); }
    template <class... Ts>
    void set(Ts&... xs) const { (int[]){(set(xs),0)...}; }
};

// <<<
// >>> segment tree
template <class Handler> struct Segtree : Handler {
    using Value = typename Handler::Value;
    using Handler::unit;  // () -> Value
    using Handler::merge; // (Value, Value) -> Value

    vector<Value> v;
    int n;

    Segtree() {}
    template <class... T> Segtree(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;
        v.resize(2*n, unit());
        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(); }); }
    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 set(int i, Value const& x) {
        assert(0 <= i); assert(i < size());
        i += n; v[i] = x;
        while (i >>= 1) v[i] = merge(v[i<<1], v[i<<1|1]);
    }
    Value operator[](int i) const { return get(i); }
    Value get(int i) const {
        assert(0 <= i); assert(i < size());
        return v[n + i];
    }
    // [l,r)
    Value get(int l, int r) const {
        assert(0 <= l); assert(l <= r); assert(r <= size());
        Value x = unit(), y = unit();
        for (l += n, r += n; 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);
    }
    template <class F> int max_right(int l, F f) {
        assert(0 <= l); assert(l <= size());
        assert(f(unit()));
        l += n;
        const int r = size() << 1;
        Value x = unit();
        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()) {
            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()));
        r += n;
        const int l = size();
        Value x = unit();
        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()) {
            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;
    }
};
// <<<

struct Sum {
    using Value = mint;
    constexpr static Value unit() { return 0; }
    constexpr static Value merge(Value x, Value y) {
        return x + y;
    }
};


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

    Compress<int> Z;
    Z.add(a), Z.init(), Z.set(a);
    int m = Z.size();

    Segtree<Sum> lcnt(m), lsum(m);
    Segtree<Sum> rcnt(m), rsum(m);
    rep (i,n) {
        rcnt.set(a[i], rcnt[a[i]] + 1);
        rsum.set(a[i], rsum[a[i]] + Z[a[i]]);
    }

    mint ans = 0;
    rep (i,n) {
        rcnt.set(a[i], rcnt[a[i]] - 1);
        rsum.set(a[i], rsum[a[i]] - Z[a[i]]);

        auto LC = lcnt.get(a[i]+1, m), LS = lsum.get(a[i]+1, m);
        auto RC = rcnt.get(0, a[i]), RS = rsum.get(0, a[i]);
        ans += LS * RC;
        ans += Z[a[i]] * LC * RC;
        ans += RS * LC;

        lcnt.set(a[i], lcnt[a[i]] + 1);
        lsum.set(a[i], lsum[a[i]] + Z[a[i]]);
    }
    cout << ans << endl;




}
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