結果

問題 No.1548 [Cherry 2nd Tune B] 貴方と私とサイクルとモーメント
ユーザー rniyarniya
提出日時 2021-06-11 22:51:06
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 217 ms / 4,500 ms
コード長 13,307 bytes
コンパイル時間 2,462 ms
コンパイル使用メモリ 210,516 KB
最終ジャッジ日時 2025-01-22 06:32:00
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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ファイルパターン 結果
other AC * 42
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ソースコード

diff # 

#define LOCAL
#include <bits/stdc++.h>
using namespace std;
#pragma region Macros
typedef long long ll;
typedef __int128_t i128;
typedef unsigned int uint;
typedef unsigned long long ull;
#define ALL(x) (x).begin(), (x).end()

template <typename T> istream& operator>>(istream& is, vector<T>& v) {
    for (T& x : v) is >> x;
    return is;
}
template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {
    for (int i = 0; i < (int)v.size(); i++) {
        os << v[i] << (i + 1 == (int)v.size() ? "" : " ");
    }
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) {
    os << '(' << p.first << ',' << p.second << ')';
    return os;
}
template <typename T, typename U, typename V> ostream& operator<<(ostream& os, const tuple<T, U, V>& t) {
    os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')';
    return os;
}
template <typename T, typename U, typename V, typename W> ostream& operator<<(ostream& os, const tuple<T, U, V, W>& t) {
    os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')';
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& m) {
    os << '{';
    for (auto itr = m.begin(); itr != m.end();) {
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr != m.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const unordered_map<T, U>& m) {
    os << '{';
    for (auto itr = m.begin(); itr != m.end();) {
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr != m.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const set<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const multiset<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const unordered_set<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const deque<T>& v) {
    for (int i = 0; i < (int)v.size(); i++) {
        os << v[i] << (i + 1 == (int)v.size() ? "" : " ");
    }
    return os;
}

void debug_out() { cerr << '\n'; }
template <class Head, class... Tail> void debug_out(Head&& head, Tail&&... tail) {
    cerr << head;
    if (sizeof...(Tail) > 0) cerr << ", ";
    debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...)                                                                   \
    cerr << " ";                                                                     \
    cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \
    cerr << " ";                                                                     \
    debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }

template <class T1, class T2> inline bool chmin(T1& a, T2 b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T1, class T2> inline bool chmax(T1& a, T2 b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
#pragma endregion

/**
 * @brief modint
 * @docs docs/modulo/modint.md
 */
template <uint32_t mod> class modint {
    using i64 = int64_t;
    using u32 = uint32_t;
    using u64 = uint64_t;

public:
    u32 v;
    constexpr modint(const i64 x = 0) noexcept : v(x < 0 ? mod - 1 - (-(x + 1) % mod) : x % mod) {}
    constexpr u32& value() noexcept { return v; }
    constexpr const u32& value() const noexcept { return v; }
    constexpr modint operator+(const modint& rhs) const noexcept { return modint(*this) += rhs; }
    constexpr modint operator-(const modint& rhs) const noexcept { return modint(*this) -= rhs; }
    constexpr modint operator*(const modint& rhs) const noexcept { return modint(*this) *= rhs; }
    constexpr modint operator/(const modint& rhs) const noexcept { return modint(*this) /= rhs; }
    constexpr modint& operator+=(const modint& rhs) noexcept {
        v += rhs.v;
        if (v >= mod) v -= mod;
        return *this;
    }
    constexpr modint& operator-=(const modint& rhs) noexcept {
        if (v < rhs.v) v += mod;
        v -= rhs.v;
        return *this;
    }
    constexpr modint& operator*=(const modint& rhs) noexcept {
        v = (u64)v * rhs.v % mod;
        return *this;
    }
    constexpr modint& operator/=(const modint& rhs) noexcept { return *this *= rhs.pow(mod - 2); }
    constexpr modint pow(u64 exp) const noexcept {
        modint self(*this), res(1);
        while (exp > 0) {
            if (exp & 1) res *= self;
            self *= self;
            exp >>= 1;
        }
        return res;
    }
    constexpr modint& operator++() noexcept {
        if (++v == mod) v = 0;
        return *this;
    }
    constexpr modint& operator--() noexcept {
        if (v == 0) v = mod;
        return --v, *this;
    }
    constexpr modint operator++(int) noexcept {
        modint t = *this;
        return ++*this, t;
    }
    constexpr modint operator--(int) noexcept {
        modint t = *this;
        return --*this, t;
    }
    constexpr modint operator-() const noexcept { return modint(mod - v); }
    template <class T> friend constexpr modint operator+(T x, modint y) noexcept { return modint(x) + y; }
    template <class T> friend constexpr modint operator-(T x, modint y) noexcept { return modint(x) - y; }
    template <class T> friend constexpr modint operator*(T x, modint y) noexcept { return modint(x) * y; }
    template <class T> friend constexpr modint operator/(T x, modint y) noexcept { return modint(x) / y; }
    constexpr bool operator==(const modint& rhs) const noexcept { return v == rhs.v; }
    constexpr bool operator!=(const modint& rhs) const noexcept { return v != rhs.v; }
    constexpr bool operator!() const noexcept { return !v; }
    friend istream& operator>>(istream& s, modint& rhs) noexcept {
        i64 v;
        rhs = modint{(s >> v, v)};
        return s;
    }
    friend ostream& operator<<(ostream& s, const modint& rhs) noexcept { return s << rhs.v; }
};

/**
 * @brief Lazy Segment Tree
 * @docs docs/datastructure/LazySegmentTree.md
 */
template <typename Monoid, typename OperatorMonoid> struct LazySegmentTree {
    typedef function<Monoid(Monoid, Monoid)> F;
    typedef function<Monoid(Monoid, OperatorMonoid)> G;
    typedef function<OperatorMonoid(OperatorMonoid, OperatorMonoid)> H;
    int n, hi;
    F f;
    G g;
    H h;
    Monoid id0;
    OperatorMonoid id1;
    vector<Monoid> dat;
    vector<OperatorMonoid> laz;
    LazySegmentTree(int n_, F f, G g, H h, Monoid id0, OperatorMonoid id1) : f(f), g(g), h(h), id0(id0), id1(id1) {
        init(n_);
    }
    void init(int n_) {
        n = 1, hi = 0;
        while (n < n_) n <<= 1, hi++;
        dat.assign(n << 1, id0);
        laz.assign(n << 1, id1);
    }
    void build(const vector<Monoid>& v) {
        for (int i = 0; i < (int)v.size(); i++) dat[i + n] = v[i];
        for (int i = n - 1; i; --i) dat[i] = f(dat[i << 1 | 0], dat[i << 1 | 1]);
    }
    inline Monoid reflect(int k) { return laz[k] == id1 ? dat[k] : g(dat[k], laz[k]); }
    inline void propagate(int k) {
        if (laz[k] == id1) return;
        laz[k << 1 | 0] = h(laz[k << 1 | 0], laz[k]);
        laz[k << 1 | 1] = h(laz[k << 1 | 1], laz[k]);
        dat[k] = reflect(k);
        laz[k] = id1;
    }
    inline void thrust(int k) {
        for (int i = hi; i; i--) propagate(k >> i);
    }
    inline void recalc(int k) {
        while (k >>= 1) dat[k] = f(reflect(k << 1 | 0), reflect(k << 1 | 1));
    }
    void update(int a, int b, OperatorMonoid x) {
        if (a >= b) return;
        thrust(a += n);
        thrust(b += n - 1);
        for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
            if (l & 1) laz[l] = h(laz[l], x), ++l;
            if (r & 1) --r, laz[r] = h(laz[r], x);
        }
        recalc(a);
        recalc(b);
    }
    void set_val(int k, Monoid x) {
        thrust(k += n);
        dat[k] = x, laz[k] = id1;
        recalc(k);
    }
    Monoid query(int a, int b) {
        if (a >= b) return id0;
        thrust(a += n);
        thrust(b += n - 1);
        Monoid vl = id0, vr = id0;
        for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
            if (l & 1) vl = f(vl, reflect(l++));
            if (r & 1) vr = f(reflect(--r), vr);
        }
        return f(vl, vr);
    }
    template <typename C> int find_subtree(int k, const C& check, Monoid& M, bool type) {
        while (k < n) {
            propagate(k);
            Monoid nxt = type ? f(reflect(k << 1 | type), M) : f(M, reflect(k << 1 | type));
            if (check(nxt))
                k = k << 1 | type;
            else
                M = nxt, k = k << 1 | (type ^ 1);
        }
        return k - n;
    }
    // min i s.t. f(seg[a],seg[a+1],...,seg[i]) satisfy "check"
    template <typename C> int find_first(int a, const C& check) {
        Monoid L = id0;
        if (a <= 0) {
            if (check(f(L, reflect(1)))) return find_subtree(1, check, L, false);
            return -1;
        }
        thrust(a + n);
        int b = n;
        for (int l = a + n, r = b + n; l < r; l >>= 1, r >>= 1) {
            if (l & 1) {
                Monoid nxt = f(L, reflect(l));
                if (check(nxt)) return find_subtree(l, check, L, false);
                L = nxt;
                l++;
            }
        }
        return -1;
    }
    // max i s.t. f(seg[i],...,seg[b-2],seg[b-1]) satisfy "check"
    template <typename C> int find_last(int b, const C& check) {
        Monoid R = id0;
        if (b >= n) {
            if (check(f(reflect(1), R))) return find_subtree(1, check, R, true);
            return -1;
        }
        thrust(b + n - 1);
        int a = n;
        for (int l = a, r = b + n; l < r; l >>= 1, r >>= 1) {
            if (r & 1) {
                Monoid nxt = f(reflect(--r), R);
                if (check(nxt)) return find_subtree(r, check, R, true);
                R = nxt;
            }
        }
        return -1;
    }
    Monoid operator[](int i) { return query(i, i + 1); }
};

const int INF = 1e9;
const long long IINF = 1e18;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const char dir[4] = {'D', 'R', 'U', 'L'};
// const long long MOD = 1000000007;
const long long MOD = 998244353;

using mint = modint<MOD>;
using T = array<mint, 5>;
using PATH = pair<pair<int, int>, pair<int, int>>;

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N;
    cin >> N;
    vector<mint> A(N);
    cin >> A;

    auto f = [](T a, T b) {
        T res;
        for (int i = 0; i < 5; i++) res[i] = a[i] + b[i];
        return res;
    };
    auto g = [](T a, int x) {
        T res;
        res[0] = a[0];
        mint prod = x;
        for (int i = 1; i < 5; i++, prod *= x) res[i] = prod * res[0];
        return res;
    };
    auto h = [](int x, int y) { return y; };
    T init;
    LazySegmentTree<T, int> seg(N, f, g, h, init, -1);
    init[0] = 1;
    for (int i = 0; i < N; i++) {
        init[1] = A[i];
        for (int j = 2; j < 5; j++) init[j] = init[j - 1] * A[i];
        seg.set_val(i, init);
    }

    auto range = [&](int u, int v, int w) -> PATH {
        if (u > v) swap(u, v);
        if (u < w && w < v) return {{u, v + 1}, {-1, -1}};
        return {{0, u + 1}, {v, N}};
    };
    auto update = [&](PATH p, int B) {
        seg.update(p.first.first, p.first.second, B);
        if (~p.second.first) seg.update(p.second.first, p.second.second, B);
    };
    auto query = [&](PATH p, int t) -> mint {
        int a = p.first.first, b = p.first.second, c = p.second.first, d = p.second.second;
        int L = (b - a) + (d - c);
        auto res = f(seg.query(a, b), seg.query(c, d));
        mint M = res[1] / L;
        if (t == 1) return 0;
        mint sum = 0;
        if (t == 2) {
            sum += res[2];
            sum -= 2 * M * res[1];
            sum += M * M * L;
        } else if (t == 3) {
            sum += res[3];
            sum -= 3 * M * res[2];
            sum += 3 * M * M * res[1];
            sum -= M * M * M * L;
        } else {
            sum += res[4];
            sum -= 4 * M * res[3];
            sum += 6 * M * M * res[2];
            sum -= 4 * M * M * M * res[1];
            sum += M * M * M * M * L;
        }
        return sum / L;
    };

    int Q;
    cin >> Q;
    for (; Q--;) {
        int t, U, V, W;
        cin >> t >> U >> V >> W;
        auto p = range(--U, --V, --W);
        if (t == 0) {
            int B;
            cin >> B;
            update(p, B);
        } else {
            cout << query(p, t) << '\n';
        }
    }
    return 0;
}
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