data_structure/dual_segment_tree.range_update_query.test.cpp

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Last update: 2021-08-30 04:35:37+09:00
Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_D

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Code

#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_D"
#include "../data_structure/dual_segment_tree.hpp"
#include "../monoids/left.hpp"

#include <iostream>
using namespace std;

int main() {
    int n, q; cin >> n >> q;
    dual_segment_tree<left_monoid<uint32_t> > segtree(n);
    segtree.range_apply(0, n, make_pair(true, (1u << 31) - 1));
    while (q --) {
        int com; cin >> com;
        if (com == 0) {
            int l, r; uint32_t x; cin >> l >> r >> x;
            ++ r;
            segtree.range_apply(l, r, make_pair(true, x));
        } else if (com == 1) {
            int i; cin >> i;
            cout << segtree.point_get(i).second << endl;
        }
    }
    return 0;
}

#line 1 "data_structure/dual_segment_tree.range_update_query.test.cpp"
#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_D"
#line 2 "data_structure/dual_segment_tree.hpp"
#include <algorithm>
#include <cassert>
#include <vector>

/**
 * @brief Dual Segment Tree / 双対セグメント木 (monoids, 完全二分木)
 * @docs data_structure/dual_segment_tree.md
 * @tparam Monoid (commutativity is not required)
 */
template <class Monoid>
struct dual_segment_tree {
    typedef typename Monoid::value_type value_type;
    const Monoid mon;
    int n;
    std::vector<value_type> f;
    dual_segment_tree() = default;
    dual_segment_tree(int n_, const Monoid & mon_ = Monoid()) : mon(mon_) {
        n = 1; while (n < n_) n *= 2;
        f.resize(2 * n - 1, mon.unit());
    }
    value_type point_get(int i) {  // 0-based
        assert (0 <= i and i < n);
        value_type acc = mon.unit();
        for (i += n; i > 0; i /= 2) {  // 1-based
            acc = mon.mult(f[i - 1], acc);
        }
        return acc;
    }
    void range_apply(int l, int r, value_type g) {  // 0-based, [l, r)
        assert (0 <= l and l <= r and r <= n);
        range_apply(0, 0, n, l, r, g);
    }
    void range_apply(int i, int il, int ir, int l, int r, value_type g) {
        if (l <= il and ir <= r) {  // 0-based
            f[i] = mon.mult(g, f[i]);
        } else if (ir <= l or r <= il) {
            // nop
        } else {
            range_apply(2 * i + 1, il, (il + ir) / 2, 0, n, f[i]);
            range_apply(2 * i + 2, (il + ir) / 2, ir, 0, n, f[i]);
            f[i] = mon.unit();
            range_apply(2 * i + 1, il, (il + ir) / 2, l, r, g);
            range_apply(2 * i + 2, (il + ir) / 2, ir, l, r, g);
        }
    }
};
#line 2 "monoids/left.hpp"
#include <utility>

template <class T>
struct left_monoid {
    // typedef std::optional<T> value_type;
    typedef std::pair<bool, T> value_type;
    value_type unit() const { return std::make_pair(false, T()); }
    value_type mult(value_type a, value_type b) const { return a.first ? a : b; }
};
#line 4 "data_structure/dual_segment_tree.range_update_query.test.cpp"

#include <iostream>
using namespace std;

int main() {
    int n, q; cin >> n >> q;
    dual_segment_tree<left_monoid<uint32_t> > segtree(n);
    segtree.range_apply(0, n, make_pair(true, (1u << 31) - 1));
    while (q --) {
        int com; cin >> com;
        if (com == 0) {
            int l, r; uint32_t x; cin >> l >> r >> x;
            ++ r;
            segtree.range_apply(l, r, make_pair(true, x));
        } else if (com == 1) {
            int i; cin >> i;
            cout << segtree.point_get(i).second << endl;
        }
    }
    return 0;
}