結果

問題 No.880 Yet Another Segment Tree Problem
ユーザー hitonanodehitonanode
提出日時 2021-01-30 21:11:00
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
TLE  
実行時間 -
コード長 8,115 bytes
コンパイル時間 1,248 ms
コンパイル使用メモリ 96,096 KB
実行使用メモリ 10,752 KB
最終ジャッジ日時 2024-06-28 09:36:43
合計ジャッジ時間 8,665 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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
6,816 KB
testcase_01 AC 4 ms
5,376 KB
testcase_02 AC 5 ms
5,376 KB
testcase_03 AC 5 ms
5,376 KB
testcase_04 AC 4 ms
5,376 KB
testcase_05 AC 4 ms
5,376 KB
testcase_06 AC 3 ms
5,376 KB
testcase_07 AC 6 ms
5,376 KB
testcase_08 AC 6 ms
5,376 KB
testcase_09 AC 6 ms
5,376 KB
testcase_10 AC 5 ms
5,376 KB
testcase_11 TLE -
testcase_12 -- -
testcase_13 -- -
testcase_14 -- -
testcase_15 -- -
testcase_16 -- -
testcase_17 -- -
testcase_18 -- -
testcase_19 -- -
testcase_20 -- -
testcase_21 -- -
testcase_22 -- -
testcase_23 -- -
testcase_24 -- -
testcase_25 -- -
testcase_26 -- -
testcase_27 -- -
testcase_28 -- -
testcase_29 -- -
testcase_30 -- -
testcase_31 -- -
testcase_32 -- -
testcase_33 -- -
testcase_34 -- -
testcase_35 -- -
testcase_36 -- -
testcase_37 -- -
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ソースコード

diff # 

#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;

#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}

} // namespace internal

} // namespace atcoder

#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1

#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>

// #include "atcoder/internal_bit"

namespace atcoder {

template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S), F (*composition)(F, F), F (*id)()> struct lazy_segtree {
public:
    lazy_segtree() : lazy_segtree(0) {}
    lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
    lazy_segtree(const std::vector<S>& v) : _n(int(v.size())) {
        log = internal::ceil_pow2(_n);
        size = 1 << log;
        d = std::vector<S>(2 * size, e());
        lz = std::vector<F>(size, id());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) { update(i); }
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        return d[p];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return e();

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push(r >> i);
        }

        S sml = e(), smr = e();
        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }

        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    void apply(int p, F f) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = mapping(f, d[p]);
        for (int i = 1; i <= log; i++) update(p >> i);
    }
    void apply(int l, int r, F f) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while (l < r) {
                if (l & 1) all_apply(l++, f);
                if (r & 1) all_apply(--r, f);
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }

        for (int i = 1; i <= log; i++) {
            if (((l >> i) << i) != l) update(l >> i);
            if (((r >> i) << i) != r) update((r - 1) >> i);
        }
    }

    template <bool (*g)(S)> int max_right(int l) {
        return max_right(l, [](S x) { return g(x); });
    }
    template <class G> int max_right(int l, G g) {
        assert(0 <= l && l <= _n);
        assert(g(e()));
        if (l == _n) return _n;
        l += size;
        for (int i = log; i >= 1; i--) push(l >> i);
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!g(op(sm, d[l]))) {
                while (l < size) {
                    push(l);
                    l = (2 * l);
                    if (g(op(sm, d[l]))) {
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <bool (*g)(S)> int min_left(int r) {
        return min_left(r, [](S x) { return g(x); });
    }
    template <class G> int min_left(int r, G g) {
        assert(0 <= r && r <= _n);
        assert(g(e()));
        if (r == 0) return 0;
        r += size;
        for (int i = log; i >= 1; i--) push((r - 1) >> i);
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!g(op(d[r], sm))) {
                while (r < size) {
                    push(r);
                    r = (2 * r + 1);
                    if (g(op(d[r], sm))) {
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

protected: // Modified
    int _n, size, log;
    std::vector<S> d;
    std::vector<F> lz;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
    virtual void all_apply(int k, F f) { // Modified
        d[k] = mapping(f, d[k]);
        if (k < size) lz[k] = composition(f, lz[k]);
    }
    void push(int k) {
        all_apply(2 * k, lz[k]);
        all_apply(2 * k + 1, lz[k]);
        lz[k] = id();
    }
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP

template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S), F (*composition)(F, F), F (*id)()> class segtree_beats : public atcoder::lazy_segtree<S, op, e, F, mapping, composition, id> {
    using Base = atcoder::lazy_segtree<S, op, e, F, mapping, composition, id>;
    using Base::lazy_segtree;
    void all_apply(int k, F f) override {
        Base::d[k] = mapping(f, this->d[k]);
        if (k < Base::size) {
            Base::lz[k] = composition(f, Base::lz[k]);
            if (Base::d[k].fail) Base::push(k), Base::update(k);
        }
    }
};

using BNum = int;
constexpr BNum BINF = 1 << 30;

struct BNode {
    BNum hi, sum, lcm;
    unsigned sz;
    bool fail;
    BNode() : hi(0), sum(0), lcm(1), fail(0) {}
    BNode(BNum x, unsigned sz_ = 1) : hi(x), sum(x * sz_), lcm(x), sz(sz_), fail(0) {}
};

BNode be() { return BNode(); }
BNode bop(BNode l, BNode r) {
    if (r.sz == 0) return l;
    if (l.sz == 0) return r;
    BNode ret;
    ret.hi = std::max(l.hi, r.hi);
    ret.sum = l.sum + r.sum;
    if (l.lcm >= BINF or r.lcm >= BINF) ret.lcm = BINF;
    else ret.lcm = min<long long>(BINF, (long long)l.lcm * r.lcm / __gcd(l.lcm, r.lcm));
    ret.sz = l.sz + r.sz;
    return ret;
}

struct BF {
    BNum dogcd, reset;
    BF() : dogcd(0), reset(0) {}
    BF(BNum g, BNum upd) : dogcd(g), reset(upd) {}
};

BF bcomposition(BF fnew, BF fold) {
    BF ret;
    if (fnew.reset) return fnew;
    else return BF(__gcd(fnew.dogcd, fold.dogcd), fold.reset);
}

BF bid() { return BF(); }
BNode bmapping(BF f, BNode x) {
    if (x.fail) return x;
    if (f.reset) x = BNode(f.reset, x.sz);
    if (f.dogcd) {
        if (x.sz == 1) x = BNode(__gcd(f.dogcd, x.sum), 1);
        else if (f.dogcd and (x.lcm == BINF or f.dogcd % x.lcm)) x.fail = true;
    }
    return x;
}

int main() {
    cin.tie(0), ios::sync_with_stdio(false);
    int N, Q;
    cin >> N >> Q;
    vector<BNode> A(N);
    for (auto &a : A) {
        int tmp;
        cin >> tmp;
        a = BNode(tmp);
    }
    segtree_beats<BNode, bop, be, BF, bmapping, bcomposition, bid> segtree(A);

    int q, l, r, x;
    while (Q--) {
        cin >> q >> l >> r;
        l--;
        if (q <= 2) {
            cin >> x;
            if (q == 1) segtree.apply(l, r, BF(0, x));
            if (q == 2) segtree.apply(l, r, BF(x, 0));
        } else {
            auto v = segtree.prod(l, r);
            if (q == 3) cout << v.hi << '\n';
            if (q == 4) cout << v.sum << '\n';
        }
    }
}
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