#571464 (C++17) No.1270 Range Arrange Query

• 問題: No.1270 Range Arrange Query
• ユーザー: Ricky_pon
• 提出日時: 2020-10-25 10:29:09
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 710 ms / 7,000 ms
• コード長: 9,974 bytes
• コンパイル時間: 3,001 ms
• コンパイル使用メモリ: 223,492 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-07-21 17:13:03
• 合計ジャッジ時間: 6,972 ms
• ジャッジサーバーID （参考情報）: judge4 / judge2

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	2 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	50 ms; 5,376 KB
testcase_07	AC	396 ms; 5,376 KB
testcase_08	AC	78 ms; 5,376 KB
testcase_09	AC	281 ms; 5,376 KB
testcase_10	AC	301 ms; 5,376 KB
testcase_11	AC	707 ms; 5,376 KB
testcase_12	AC	703 ms; 5,376 KB
testcase_13	AC	710 ms; 5,376 KB
testcase_14	AC	24 ms; 5,376 KB
testcase_15	AC	41 ms; 5,376 KB
testcase_16	AC	41 ms; 5,376 KB
testcase_17	AC	39 ms; 5,376 KB

ソースコード

#include <bits/stdc++.h>

//#include <atcoder/all>
#define For(i, a, b) for (int(i) = (int)(a); (i) < (int)(b); ++(i))
#define rFor(i, a, b) for (int(i) = (int)(a)-1; (i) >= (int)(b); --(i))
#define rep(i, n) For((i), 0, (n))
#define rrep(i, n) rFor((i), (n), 0)
#define fi first
#define se second
using namespace std;
typedef long long lint;
typedef unsigned long long ulint;
typedef pair<int, int> pii;
typedef pair<lint, lint> pll;
template <class T>
bool chmax(T &a, const T &b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
template <class T>
bool chmin(T &a, const T &b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T>
T div_floor(T a, T b) {
    if (b < 0) a *= -1, b *= -1;
    return a >= 0 ? a / b : (a + 1) / b - 1;
}
template <class T>
T div_ceil(T a, T b) {
    if (b < 0) a *= -1, b *= -1;
    return a > 0 ? (a - 1) / b + 1 : a / b;
}

constexpr lint mod = 1000000007;
constexpr lint INF = mod * mod;
constexpr int MAX = 200010;

#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

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;
    }

   private:
    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]); }
    void all_apply(int k, F f) {
        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

using namespace atcoder;

struct monoid {
    lint val;

    static monoid op(monoid lhs, monoid rhs) { return {min(lhs.val, rhs.val)}; }

    static monoid e() { return {INF}; }
};

struct op_monoid {
    lint sum;

    static monoid mapping(op_monoid lhs, monoid rhs) {
        return {rhs.val + lhs.sum};
    }

    static op_monoid compression(op_monoid lhs, op_monoid rhs) {
        return {lhs.sum + rhs.sum};
    }

    static op_monoid id() { return {0}; }
};

template <typename T>
struct BinaryIndexedTree {
    vector<T> node;

    BinaryIndexedTree(int n) { node.resize(n + 1, {}); }

    void update(int i, T x) {
        ++i;
        while (i < (int)node.size()) {
            node[i] += x;
            i += (i & -i);
        }
    }

    T query(int i) {
        ++i;
        lint ret = 0;
        while (i) {
            ret += node[i];
            i -= (i & -i);
        }
        return ret;
    }

    T query(int l, int r) { return query(r - 1) - query(l - 1); }
};

int main() {
    int n, q;
    scanf("%d%d", &n, &q);
    int a[n];
    rep(i, n) scanf("%d", &a[i]), --a[i];

    vector<tuple<int, int, int>> query(q);  // (id, [l, r))
    rep(i, q) {
        int l, r;
        scanf("%d%d", &l, &r);
        --l;
        query[i] = {i, l, r};
    }
    int width = 200;
    sort(query.begin(), query.end(),
         [&](const tuple<int, int, int> &t1, const tuple<int, int, int> &t2) {
             if (get<1>(t1) / width == get<1>(t2) / width) {
                 return (get<1>(t1) / width) % 2 == 0 ? get<2>(t1) < get<2>(t2)
                                                      : get<2>(t1) > get<2>(t2);
             }
             return get<1>(t1) / width < get<1>(t2) / width;
         });
    int tl = 0, tr = 0;
    lint tmp = 0, ans[q];

    BinaryIndexedTree<lint> bit_f(n), bit_b(n);
    vector<monoid> v(n);
    rep(i, n) v[i] = {0};
    lazy_segtree<monoid, monoid::op, monoid::e, op_monoid, op_monoid::mapping,
                 op_monoid::compression, op_monoid::id>
        lst(v);
    rep(i, n) {
        tmp += bit_b.query(a[i] + 1, n);
        bit_b.update(a[i], 1);
        lst.apply(a[i] + 1, n, {1});
    }

    for (auto [id, l, r] : query) {
        while (tr < r) {
            tmp -= bit_f.query(a[tr] + 1, n) + bit_b.query(0, a[tr]) +
                   lst.all_prod().val * (tr - tl);
            bit_b.update(a[tr], -1);
            lst.apply(a[tr] + 1, n, {-1});
            ++tr;
            tmp += lst.all_prod().val * (tr - tl);
        }
        while (tl > l) {
            --tl;
            tmp -= bit_f.query(a[tl] + 1, n) + bit_b.query(0, a[tl]) +
                   lst.all_prod().val * (tr - tl - 1);
            bit_f.update(a[tl], -1);
            lst.apply(0, a[tl], {-1});
            tmp += lst.all_prod().val * (tr - tl);
        }
        while (tr > r) {
            --tr;
            tmp -= lst.all_prod().val * (tr - tl + 1);
            tmp += bit_f.query(a[tr] + 1, n) + bit_b.query(0, a[tr]);
            bit_b.update(a[tr], 1);
            lst.apply(a[tr] + 1, n, {1});
            tmp += lst.all_prod().val * (tr - tl);
        }
        while (tl < l) {
            tmp -= lst.all_prod().val * (tr - tl);
            tmp += bit_f.query(a[tl] + 1, n) + bit_b.query(0, a[tl]);
            bit_f.update(a[tl], 1);
            lst.apply(0, a[tl], {1});
            ++tl;
            tmp += lst.all_prod().val * (tr - tl);
        }
        ans[id] = tmp;
    }
    rep(i, q) printf("%lld\n", ans[i]);
}