#503639 (C++17) No.1099 Range Square Sum

提出ソース

結果

問題	No.1099 Range Square Sum
ユーザー	kcvlex
提出日時	2020-06-26 23:07:34
言語	C++17 (gcc 13.2.0 + boost 1.83.0)
結果	AC
実行時間	465 ms / 2,000 ms
コード長	10,134 bytes
コンパイル時間	2,130 ms
コンパイル使用メモリ	152,780 KB
実行使用メモリ	55,396 KB
最終ジャッジ日時	2023-09-18 07:23:37
合計ジャッジ時間	7,121 ms
ジャッジサーバーID （参考情報）	judge14 / judge15

このコードへのチャレンジ（β）

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 4,380 KB
testcase_01	AC	2 ms 4,376 KB
testcase_02	AC	2 ms 4,376 KB
testcase_03	AC	1 ms 4,376 KB
testcase_04	AC	1 ms 4,376 KB
testcase_05	AC	2 ms 4,376 KB
testcase_06	AC	2 ms 4,376 KB
testcase_07	AC	2 ms 4,504 KB
testcase_08	AC	1 ms 4,376 KB
testcase_09	AC	2 ms 4,376 KB
testcase_10	AC	2 ms 4,380 KB
testcase_11	AC	3 ms 4,380 KB
testcase_12	AC	3 ms 4,380 KB
testcase_13	AC	3 ms 4,376 KB
testcase_14	AC	3 ms 4,376 KB
testcase_15	AC	3 ms 4,376 KB
testcase_16	AC	3 ms 4,380 KB
testcase_17	AC	3 ms 4,380 KB
testcase_18	AC	3 ms 4,384 KB
testcase_19	AC	3 ms 4,380 KB
testcase_20	AC	3 ms 4,380 KB
testcase_21	AC	465 ms 55,180 KB
testcase_22	AC	443 ms 55,264 KB
testcase_23	AC	461 ms 55,252 KB
testcase_24	AC	444 ms 55,256 KB
testcase_25	AC	445 ms 55,288 KB
testcase_26	AC	212 ms 55,180 KB
testcase_27	AC	213 ms 55,200 KB
testcase_28	AC	214 ms 55,268 KB
testcase_29	AC	215 ms 55,212 KB
testcase_30	AC	213 ms 55,396 KB

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ソースコード

raw source code

#include <limits>
#include <initializer_list>
#include <utility>
#include <bitset>
#include <tuple>
#include <type_traits>
#include <functional>
#include <string>
#include <array>
#include <deque>
#include <list>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <iterator>
#include <algorithm>
#include <complex>
#include <random>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <sstream>
#include <regex>
#include <cassert>
#include <cstddef>
#ifdef CPP17
#include <variant>
#endif

#define endl codeforces

#define ALL(v) std::begin(v), std::end(v)
#define ALLR(v) std::rbegin(v), std::rend(v)

using ll = std::int64_t;
using ull = std::uint64_t;
using pii = std::pair<int, int>;
using tii = std::tuple<int, int, int>;
using pll = std::pair<ll, ll>;
using tll = std::tuple<ll, ll, ll>;
using size_type = ssize_t;
template <typename T> using vec = std::vector<T>;
template <typename T> using vvec = vec<vec<T>>;

template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename T, typename... Tail> const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); }
template <typename T, typename... Tail> const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); }
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }

template <typename T, std::size_t Head, std::size_t... Tail> 
struct multi_dim_array { using type = std::array<typename multi_dim_array<T, Tail...>::type, Head>; };

template <typename T, std::size_t Head> 
struct multi_dim_array<T, Head> { using type = std::array<T, Head>; };

template <typename T, std::size_t... Args> using mdarray = typename multi_dim_array<T, Args...>::type;

#ifdef CPP17
template <typename T, typename F, typename... Args> 
void fill_seq(T &t, F f, Args... args) { 
    if constexpr (std::is_invocable<F, Args...>::value) { 
        t = f(args...); 
    } else { 
        for (size_type i = 0; i < t.size(); i++) fill_seq(t[i], f, args..., i); 
    } 
}
#endif

template <typename T> vec<T> make_v(size_type sz) { return vec<T>(sz); }

template <typename T, typename... Tail> 
auto make_v(size_type hs, Tail&&... ts) { 
    auto v = std::move(make_v<T>(std::forward<Tail>(ts)...)); 
    return vec<decltype(v)>(hs, v); 
}

namespace init__ { 
struct InitIO { 
    InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } 
} init_io; 
}


namespace utility {

template <typename T>
using validate_integer = typename std::enable_if<std::is_integral<T>::value, ll>::type;

template <typename T>
auto popcount(T n) -> validate_integer<T> {
    return __builtin_popcount(n);
}

// 0 indexed
template <typename T>
auto msb(T n) -> validate_integer<T> {
    return 64 - __builtin_clzll(n) - 1;
}

template <typename T>
constexpr auto ceil_pow2(T s) -> validate_integer<T> {
    ll ret = 1;
    while (ret < s) ret *= 2;
    return ret;
}

}

namespace utility {

struct has_id_ele {
    template <typename T>
    auto operator ()(T &&t) -> decltype(T(), std::true_type()) { return std::true_type(); }
    std::false_type operator ()(...) { return std::false_type(); }
};

struct has_merge {
    template <typename T>
    auto operator ()(T &&t) -> decltype(T::merge(std::declval<T>(), std::declval<T>()), std::true_type()) { return std::true_type(); }
    std::false_type operator ()(...) { return std::false_type(); }
};

struct has_apply {
    template <typename M, typename Op>
    auto operator ()(M &&m, Op &&op) -> decltype(m.apply(op), std::true_type()) { return std::true_type(); }
    std::false_type operator ()(...) { return std::false_type(); }
};

template <typename F, typename... Args>
using callable = std::is_same<typename std::invoke_result<F, Args...>::type, std::true_type>;

template <typename M>
using is_monoid = std::conjunction<
    callable<has_id_ele, M>, callable<has_merge, M>>;

template <typename M, typename Op>
using enable_apply = callable<has_apply, M, Op>;

}

namespace segtree {

template <typename M, typename Op>
class LazySegmentTree {
    static_assert(utility::is_monoid<M>::value, "M must be monoid.");
    static_assert(utility::is_monoid<Op>::value, "Op must be monoid.");
    static_assert(utility::enable_apply<M, Op>::value, "Op is not operator of M.");

    struct segment {
        M m;
        Op op;
        bool has_lazy;

        segment(M m = M()) : m(m), op(Op()), has_lazy(false) { }

        void update_op(Op o) {
            m.apply(o);
            op = Op::merge(op, o);
            has_lazy = true;
        }

        void init_op() {
            op = Op();
            has_lazy = false;
        }
    };

    size_type height;

    void push(size_type idx) {
        auto &s = segs[idx];
        if (!s.has_lazy) return;
        for (int i = 0; i < 2; i++) {
            auto cidx = 2 * idx + i;
            if (segs.size() <= cidx) break;
            auto &cs = segs[cidx];
            cs.update_op(s.op);
        }
        s.init_op();
    }

    void propagate_from_top(size_type idx) {
        for (int i = height; 1 <= i; i--) push(idx >> i);
    }

    void update_from_bottom(size_type idx) {
        while (true) {
            auto pidx = idx / 2;
            if (pidx == 0) break;
            size_type c0 = 2 * pidx + 0,
                      c1 = 2 * pidx + 1;
            push(c0); push(c1);
            segs[pidx].m = M::merge(segs[c0].m, segs[c1].m);
            idx = pidx;
        }
    }

    size_type get_endpoint_seg(size_type i) {
        i += size();
        return i / (i & -i);
    }

public:
    vec<segment> segs;
    template <typename F>
    LazySegmentTree(F f, size_type sz) {
        size_type sz2 = utility::ceil_pow2(sz);
        segs.resize(sz2 * 2);
        height = utility::msb(sz2);
        for (size_type i = 0; i < sz; i++) segs[i + sz2] = f(i);
        for (size_type i = sz2 - 1; 1 <= i; i--) segs[i] = M::merge(segs[2 * i].m, segs[2 * i + 1].m);
    }

    template <typename T>
    LazySegmentTree(const vec<T> &v) 
        : LazySegmentTree([&](size_type i) { return v[i]; }, v.size()) { }

    size_type size() const {
        return segs.size() / 2;
    }

    template <typename T>
    void update_query(size_type ql, size_type qr, const T &t) {
        Op op(t);
        auto l0 = get_endpoint_seg(ql);
        auto r0 = get_endpoint_seg(qr);
        propagate_from_top(l0);
        propagate_from_top(r0);
        size_type lnode = ql + size(), rnode = qr + size();
        while (lnode < rnode) {
            if (lnode & 1) {
                segs[lnode].update_op(op);
                push(lnode);
                lnode++;
            }
            if (rnode & 1) {
                rnode--;
                segs[rnode].update_op(op);
                push(rnode);
            }
            lnode /= 2;
            rnode /= 2;
        }
        update_from_bottom(l0);
        update_from_bottom(r0);
    }

    M get_query(ll ql, ll qr) {
        auto ret = M();
        auto l0 = get_endpoint_seg(ql);
        auto r0 = get_endpoint_seg(qr);
        propagate_from_top(l0);
        propagate_from_top(r0);
        size_type lnode = ql + size(), rnode = qr + size();
        while (lnode < rnode) {
            if (lnode & 1) {
                push(lnode);
                ret = M::merge(segs[lnode].m, ret);
                lnode++;
            }
            if (rnode & 1) {
                rnode--;
                push(rnode);
                ret = M::merge(ret, segs[rnode].m);
            }
            lnode /= 2;
            rnode /= 2;
        }
        return ret;
    }
};

}

using i128 = __int128_t;

std::istream& operator >>(std::istream &is, i128 &n) {
    std::string s;
    std::cin >> s;
    n = 0;
    bool minus = false;
    for (char c : s) {
        if (c == '-') {
            minus = true;
            continue;
        }
        n = n * 10 + (c - '0');
    }
    if (minus) n *= -1;
    return is;
}

std::ostream& operator <<(std::ostream &os, i128 n) {
    char buf[50] = { };
    int idx = 0;
    bool minus = false;
    if (n < 0) {
        minus = true;
        buf[idx++] = '-';
        n *= -1;
    }
    for (; n; n /= 10, idx++) buf[idx] = static_cast<char>('0' + (n % 10));
    std::reverse(buf + minus, buf + idx);
    std::cout << buf;
    return os;
}

const i128 inf = 5e15;

struct Op {
    i128 v;

    Op(i128 v) : v(v) { }
    Op() : Op(0) { }

    static Op merge(Op a, Op b) {
        return Op(a.v + b.v);
    }
};

struct M {
    i128 sum, msum, l, r;

    M(i128 sum, i128 msum, i128 l, i128 r) : sum(sum), msum(msum), l(l), r(r) { }
    M() : M(0, 0, inf, -inf) { }

    static M merge(M a, M b) {
        i128 sum = a.sum + b.sum;
        i128 msum = a.sum * b.sum * 2 + a.msum + b.msum;
        i128 l = std::min(a.l, b.l);
        i128 r = std::max(a.r, b.r);
        return M(sum, msum, l, r);
    }

    void apply(Op o) {
        if (l == inf) return;
        i128 cnt = r - l;
        msum += o.v * o.v * cnt * (cnt - 1);
        msum += sum * (cnt - 1) * 2 * o.v;
        sum += cnt * o.v;
    }
};

int main() {
    i128 n;
    std::cin >> n;
    vec<i128> av(n);
    for (i128 &e : av) std::cin >> e;
    i128 q;
    std::cin >> q;
    
    segtree::LazySegmentTree<M, Op> segs([&](i128 i) { return M(av[i], 0, i, i + 1); }, n);
    while (q--) {
        i128 t, l, r;
        std::cin >> t >> l >> r;
        l--;
        if (t == 1) {
            i128 x;
            std::cin >> x;
            segs.update_query(l, r, Op(x));
        } else {
            auto m = segs.get_query(l, r);
            i128 sum = m.sum, msum = m.msum;
            std::cout << sum * sum - msum << "\n";
        }
#if 0
        {
            for(i128 i=0;i<n;i++)segs.get_query(i,i+1);
            auto &tmp = segs.segs;
        }
#endif
    }
    return 0;
}

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結果

テストケース

ソースコード