#941891 (C++23) No.1038 TreeAddQuery

提出ソース
結果

問題	No.1038 TreeAddQuery
ユーザー	ebi_fly
提出日時	2024-01-05 00:20:08
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	1,456 ms / 4,000 ms
コード長	20,611 bytes
コンパイル時間	7,691 ms
コンパイル使用メモリ	213,660 KB
実行使用メモリ	151,840 KB
最終ジャッジ日時	2024-01-05 00:20:44
合計ジャッジ時間	30,435 ms
ジャッジサーバーID （参考情報）	judge14 / judge11
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 6,676 KB
testcase_01	AC	2 ms 6,676 KB
testcase_02	AC	1 ms 6,676 KB
testcase_03	AC	15 ms 6,676 KB
testcase_04	AC	16 ms 6,676 KB
testcase_05	AC	15 ms 6,676 KB
testcase_06	AC	13 ms 6,676 KB
testcase_07	AC	17 ms 6,676 KB
testcase_08	AC	1,020 ms 89,236 KB
testcase_09	AC	1,122 ms 88,644 KB
testcase_10	AC	1,111 ms 90,008 KB
testcase_11	AC	1,140 ms 90,540 KB
testcase_12	AC	1,136 ms 89,956 KB
testcase_13	AC	1,456 ms 151,840 KB
testcase_14	AC	1,281 ms 109,256 KB
testcase_15	AC	1,216 ms 91,652 KB
testcase_16	AC	1,190 ms 91,228 KB
testcase_17	AC	1,206 ms 90,912 KB
testcase_18	AC	656 ms 58,408 KB
testcase_19	AC	663 ms 59,424 KB
testcase_20	AC	689 ms 59,880 KB
testcase_21	AC	721 ms 60,036 KB
testcase_22	AC	726 ms 61,524 KB
testcase_23	AC	774 ms 68,060 KB
testcase_24	AC	867 ms 68,428 KB
testcase_25	AC	1,454 ms 151,840 KB
testcase_26	AC	1,124 ms 104,932 KB
権限があれば一括ダウンロードができます
ソースコード

raw source code
#line 1 "template/template.hpp"
#include <algorithm>
#include <bit>
#include <bitset>
#include <cassert>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstddef>
#include <cstdint>
#include <cstdlib>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <map>
#include <memory>
#include <numbers>
#include <numeric>
#include <optional>
#include <queue>
#include <random>
#include <ranges>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define rep(i, a, n) for (int i = (int)(a); i < (int)(n); i++)
#define rrep(i, a, n) for (int i = ((int)(n)-1); i >= (int)(a); i--)
#define Rep(i, a, n) for (i64 i = (i64)(a); i < (i64)(n); i++)
#define RRep(i, a, n) for (i64 i = ((i64)(n)-i64(1)); i >= (i64)(a); i--)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()

#line 2 "template/debug_template.hpp"

#line 4 "template/debug_template.hpp"

namespace ebi {

#ifdef LOCAL
#define debug(...)                                                      \
    std::cerr << "LINE: " << __LINE__ << "  [" << #__VA_ARGS__ << "]:", \
        debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

void debug_out() {
    std::cerr << std::endl;
}

template <typename Head, typename... Tail> void debug_out(Head h, Tail... t) {
    std::cerr << " " << h;
    if (sizeof...(t) > 0) std::cerr << " :";
    debug_out(t...);
}

}  // namespace ebi
#line 2 "template/int_alias.hpp"

#line 4 "template/int_alias.hpp"

namespace ebi {

using ld = long double;
using std::size_t;
using i8 = std::int8_t;
using u8 = std::uint8_t;
using i16 = std::int16_t;
using u16 = std::uint16_t;
using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;

}  // namespace ebi
#line 2 "template/io.hpp"

#line 7 "template/io.hpp"

namespace ebi {

template <typename T1, typename T2>
std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa) {
    return os << pa.first << " " << pa.second;
}

template <typename T1, typename T2>
std::istream &operator>>(std::istream &os, std::pair<T1, T2> &pa) {
    return os >> pa.first >> pa.second;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec) {
    for (std::size_t i = 0; i < vec.size(); i++)
        os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    return os;
}

template <typename T>
std::istream &operator>>(std::istream &os, std::vector<T> &vec) {
    for (T &e : vec) std::cin >> e;
    return os;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::optional<T> &opt) {
    if (opt) {
        os << opt.value();
    } else {
        os << "invalid value";
    }
    return os;
}

void fast_io() {
    std::cout << std::fixed << std::setprecision(15);
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);
}

}  // namespace ebi
#line 2 "template/utility.hpp"

#line 5 "template/utility.hpp"

#line 7 "template/utility.hpp"

namespace ebi {

template <class T> inline bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> inline bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> T safe_ceil(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return (a / b) + 1;
    else
        return -((-a) / b);
}

template <class T> T safe_floor(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return a / b;
    else
        return -((-a) / b) - 1;
}

constexpr i64 LNF = std::numeric_limits<i64>::max() / 4;

constexpr int INF = std::numeric_limits<int>::max() / 2;

const std::vector<int> dy = {1, 0, -1, 0, 1, 1, -1, -1};
const std::vector<int> dx = {0, 1, 0, -1, 1, -1, 1, -1};

}  // namespace ebi
#line 2 "tree/contour_query_on_tree.hpp"

#line 6 "tree/contour_query_on_tree.hpp"

#line 2 "tree/centroid_decomposition.hpp"

#line 7 "tree/centroid_decomposition.hpp"

namespace ebi {

namespace internal {

template <class F>
void centroid_decomposition_dfs_naive(const std::vector<int> &par,
                                      const std::vector<int> &original_vs,
                                      F f) {
    const int n = (int)par.size();
    assert(par.size() == original_vs.size());
    int center = -1;
    std::vector<int> sz(n, 1);
    for (const int v : std::views::iota(0, n) | std::views::reverse) {
        if (sz[v] >= (n + 1) / 2) {
            center = v;
            break;
        }
        sz[par[v]] += sz[v];
    }
    std::vector<int> color(n, -1);
    std::vector<int> vs = {center};
    color[center] = 0;
    int c = 1;
    for (const int v : std::views::iota(1, n)) {
        if (par[v] == center) {
            vs.emplace_back(v);
            color[v] = c++;
        }
    }
    if (center > 0) {
        for (int v = par[center]; v != -1; v = par[v]) {
            vs.emplace_back(v);
            color[v] = c;
        }
        c++;
    }
    for (const int v : std::views::iota(0, n)) {
        if (color[v] == -1) {
            vs.emplace_back(v);
            color[v] = color[par[v]];
        }
    }
    std::vector<int> index_ptr(c + 1, 0);
    for (const int v : std::views::iota(0, n)) {
        index_ptr[color[v] + 1]++;
    }
    for (const int i : std::views::iota(0, c)) {
        index_ptr[i + 1] += index_ptr[i];
    }
    auto counter = index_ptr;
    std::vector<int> ord(n);
    for (auto v : vs) {
        ord[counter[color[v]]++] = v;
    }
    std::vector<int> relabel(n);
    for (const int v : std::views::iota(0, n)) {
        relabel[ord[v]] = v;
    }
    std::vector<int> original_vs2(n);
    for (const int v : std::views::iota(0, n)) {
        original_vs2[relabel[v]] = original_vs[v];
    }
    std::vector<int> relabel_par(n, -1);
    for (int v : std::views::iota(1, n)) {
        int a = relabel[v];
        int b = relabel[par[v]];
        if (a > b) std::swap(a, b);
        relabel_par[b] = a;
    }
    f(relabel_par, original_vs2, index_ptr);
    for (const int i : std::views::iota(1, c)) {
        int l = index_ptr[i], r = index_ptr[i + 1];
        std::vector<int> par1(r - l, -1);
        std::vector<int> original_vs1(r - l, -1);
        for (int v : std::views::iota(l, r)) {
            par1[v - l] = (relabel_par[v] == 0 ? -1 : relabel_par[v] - l);
            original_vs1[v - l] = original_vs2[v];
        }
        centroid_decomposition_dfs_naive(par1, original_vs1, f);
    }
    return;
}

template <class F>
void one_third_centroid_decomposition(const std::vector<int> &par,
                                      const std::vector<int> &original_vs,
                                      F f) {
    const int n = (int)par.size();
    assert(n > 1);
    if (n == 2) return;
    int center = -1;
    std::vector<int> sz(n, 1);

    for (const int v : std::views::iota(0, n) | std::views::reverse) {
        if (sz[v] >= (n + 1) / 2) {
            center = v;
            break;
        }
        sz[par[v]] += sz[v];
    }

    std::vector<int> color(n, -1);
    std::vector<int> ord(n, -1);
    ord[center] = 0;
    int t = 1;
    int red = n - sz[center];
    for (int v = par[center]; v != -1; v = par[v]) {
        ord[v] = t++;
        color[v] = 0;
    }
    for (const int v : std::views::iota(1, n)) {
        if (par[v] == center && 3 * (red + sz[v]) <= 2 * (n - 1)) {
            red += sz[v];
            ord[v] = t++;
            color[v] = 0;
        }
    }
    for (const int v : std::views::iota(1, n)) {
        if (v != center && color[v] == -1 && color[par[v]] == 0) {
            ord[v] = t++;
            color[v] = 0;
        }
    }
    const int n0 = t - 1;
    for (const int v : std::views::iota(1, n)) {
        if (v != center && color[v] == -1) {
            ord[v] = t++;
            color[v] = 1;
        }
    }
    assert(t == n);
    const int n1 = n - 1 - n0;
    std::vector<int> par0(n0 + 1, -1), par1(n1 + 1, -1), par2(n, -1);
    std::vector<int> original_vs0(n0 + 1), original_vs1(n1 + 1),
        original_vs2(n);
    for (const int i : std::views::iota(0, n)) {
        int v = ord[i];
        original_vs2[v] = original_vs[i];
        if (color[i] != 1) {
            original_vs0[v] = original_vs[i];
        }
        if (color[i] != 0) {
            int idx = std::max(v - n0, 0);
            original_vs1[idx] = original_vs[i];
        }
    }
    for (const int v : std::views::iota(1, n)) {
        int a = ord[v], b = ord[par[v]];
        if (a > b) std::swap(a, b);
        par2[b] = a;
        if (color[v] != 1 && color[par[v]] != 1) {
            par0[b] = a;
        }
        if (color[v] != 0 && color[par[v]] != 0) {
            par1[b - n0] = std::max(a - n0, 0);
        }
    }
    f(par2, original_vs2, n0, n1);
    one_third_centroid_decomposition(par0, original_vs0, f);
    one_third_centroid_decomposition(par1, original_vs1, f);
    return;
}

template <class F>
void one_third_centroid_decomposition_virtual_real(
    const std::vector<int> &par, const std::vector<int> &original_vs,
    const std::vector<int> &is_real, F f) {
    const int n = (int)par.size();
    assert(n > 1);
    if (n == 2) {
        if (is_real[0] && is_real[1]) {
            f(par, original_vs, {0, 1});
        }
        return;
    }
    int center = -1;
    std::vector<int> sz(n, 1);

    for (const int v : std::views::iota(0, n) | std::views::reverse) {
        if (sz[v] >= (n + 1) / 2) {
            center = v;
            break;
        }
        sz[par[v]] += sz[v];
    }

    std::vector<int> color(n, -1);
    std::vector<int> ord(n, -1);
    ord[center] = 0;
    int t = 1;
    int red = n - sz[center];
    for (int v = par[center]; v != -1; v = par[v]) {
        ord[v] = t++;
        color[v] = 0;
    }
    for (const int v : std::views::iota(1, n)) {
        if (par[v] == center && 3 * (red + sz[v]) <= 2 * (n - 1)) {
            red += sz[v];
            ord[v] = t++;
            color[v] = 0;
        }
    }
    for (const int v : std::views::iota(1, n)) {
        if (v != center && color[v] == -1 && color[par[v]] == 0) {
            ord[v] = t++;
            color[v] = 0;
        }
    }
    const int n0 = t - 1;
    for (const int v : std::views::iota(1, n)) {
        if (v != center && color[v] == -1) {
            ord[v] = t++;
            color[v] = 1;
        }
    }
    assert(t == n);
    const int n1 = n - 1 - n0;
    std::vector<int> par0(n0 + 1, -1), par1(n1 + 1, -1), par2(n, -1);
    std::vector<int> original_vs0(n0 + 1), original_vs1(n1 + 1),
        original_vs2(n);
    std::vector<int> is_real0(n0 + 1), is_real1(n1 + 1), is_real2(n);
    for (const int i : std::views::iota(0, n)) {
        int v = ord[i];
        original_vs2[v] = original_vs[i];
        is_real2[v] = is_real[i];
        if (color[i] != 1) {
            original_vs0[v] = original_vs[i];
            is_real0[v] = is_real[i];
        }
        if (color[i] != 0) {
            int idx = std::max(v - n0, 0);
            original_vs1[idx] = original_vs[i];
            is_real1[idx] = is_real[i];
        }
    }
    for (const int v : std::views::iota(1, n)) {
        int a = ord[v], b = ord[par[v]];
        if (a > b) std::swap(a, b);
        par2[b] = a;
        if (color[v] != 1 && color[par[v]] != 1) {
            par0[b] = a;
        }
        if (color[v] != 0 && color[par[v]] != 0) {
            par1[b - n0] = std::max(a - n0, 0);
        }
    }
    if (is_real[center]) {
        color.assign(n, -1);
        color[0] = 0;
        for (const int v : std::views::iota(1, n)) {
            if (is_real2[v]) color[v] = 1;
        }
        f(par2, original_vs2, color);
        is_real0[0] = is_real1[0] = is_real2[0] = 0;
    }
    color.assign(n, -1);
    for (const int v : std::views::iota(1, n)) {
        if (is_real2[v]) {
            color[v] = int(v > n0);
        }
    }
    f(par2, original_vs2, color);
    one_third_centroid_decomposition_virtual_real(par0, original_vs0, is_real0,
                                                  f);
    one_third_centroid_decomposition_virtual_real(par1, original_vs1, is_real1,
                                                  f);
    return;
}

}  // namespace internal

template <int MODE, class F>
void centroid_decomposition(const std::vector<std::vector<int>> &tree, F f) {
    int n = (int)tree.size();
    if (n == 1) return;
    std::vector<int> bfs_order(n), par(n, -1);
    bfs_order[0] = 0;
    int l = 0, r = 1;
    while (l < r) {
        int v = bfs_order[l++];
        for (auto nv : tree[v]) {
            if (nv == par[v]) continue;
            bfs_order[r++] = nv;
            par[nv] = v;
        }
    }
    assert(l == n && r == n);
    {
        std::vector<int> relabel(n);
        for (int i : std::views::iota(0, n)) {
            relabel[bfs_order[i]] = i;
        }
        std::vector<int> relabel_par(n, -1);
        for (int i : std::views::iota(1, n)) {
            relabel_par[relabel[i]] = relabel[par[i]];
        }
        std::swap(par, relabel_par);
    }
    static_assert(MODE == 0 || MODE == 1 || MODE == 2);
    if constexpr (MODE == 0) {
        internal::centroid_decomposition_dfs_naive(par, bfs_order, f);
    } else if constexpr (MODE == 1) {
        internal::one_third_centroid_decomposition(par, bfs_order, f);
    } else {
        internal::one_third_centroid_decomposition_virtual_real(
            par, bfs_order, std::vector<int>(n, 1), f);
    }
}

}  // namespace ebi
#line 8 "tree/contour_query_on_tree.hpp"

namespace ebi {

struct contour_query_on_tree {
    contour_query_on_tree(const std::vector<std::vector<int>> &tree)
        : n(int(tree.size())) {
        int t = 0;
        range = {0};
        auto f = [&](const std::vector<int> &par, const std::vector<int> &vs,
                     const std::vector<int> &color) -> void {
            int sz = (int)par.size();
            std::vector<int> depth(sz, 0);
            for (const int v : std::views::iota(1, sz)) {
                depth[v] += depth[par[v]] + 1;
            }
            std::vector<int> red, blue;
            for (const int v : std::views::iota(0, sz)) {
                if (color[v] == 0) {
                    red.emplace_back(v);
                } else if (color[v] == 1) {
                    blue.emplace_back(v);
                } else
                    assert(color[v] == -1);
            }
            if (red.empty() || blue.empty()) return;
            int max_red = -1;
            for (const int v : red) {
                vertexs.emplace_back(vs[v]);
                number.emplace_back(t);
                dep.emplace_back(depth[v]);
                max_red = max_red < depth[v] ? depth[v] : max_red;
            }
            range.emplace_back(range.back() + max_red + 1);
            t++;
            int max_blue = -1;
            for (const int v : blue) {
                vertexs.emplace_back(vs[v]);
                number.emplace_back(t);
                dep.emplace_back(depth[v]);
                max_blue = max_blue < depth[v] ? depth[v] : max_blue;
            }
            range.emplace_back(range.back() + max_blue + 1);
            t++;
        };
        centroid_decomposition<2>(tree, f);
        index_ptr.assign(n + 1, 0);
        for (const int v : vertexs) {
            index_ptr[v + 1]++;
        }
        for (const int v : std::views::iota(0, n)) {
            index_ptr[v + 1] += index_ptr[v];
        }
        index.resize(index_ptr.back());
        auto counter = index_ptr;
        for (int i = 0; const int v : vertexs) {
            index[counter[v]++] = i;
            i++;
        }
    }

    std::vector<std::pair<int, int>> get_contour_from_vertex(int v, int l,
                                                             int r) const {
        assert(0 <= v && v < n);
        std::vector<std::pair<int, int>> res;
        for (const int idx :
             std::ranges::subrange(index.begin() + index_ptr[v],
                                   index.begin() + index_ptr[v + 1])) {
            int label = number[idx] ^ 1;
            int left = l - dep[idx], right = r - dep[idx];
            int max = range[label + 1] - range[label];
            if (left < 0) left = 0;
            if (right > max) right = max;
            if (left < right) {
                res.emplace_back(range[label] + left, range[label] + right);
            }
        }
        return res;
    }

    std::vector<int> get_vertex(int v) const {
        assert(0 <= v && v < n);
        std::vector<int> res;
        for (const int idx :
             std::ranges::subrange(index.begin() + index_ptr[v],
                                   index.begin() + index_ptr[v + 1])) {
            int label = number[idx];
            assert(range[label] + dep[idx] < range[label + 1]);
            res.emplace_back(range[label] + dep[idx]);
        }
        return res;
    }

    int size() const {
        return range.back();
    }

  private:
    int n;
    std::vector<int> vertexs, number, dep;
    std::vector<int> index, index_ptr;
    std::vector<int> range;
};

}  // namespace ebi
#line 2 "graph/template.hpp"

#line 4 "graph/template.hpp"

namespace ebi {

template <class T> struct Edge {
    int to;
    T cost;
    Edge(int _to, T _cost = 1) : to(_to), cost(_cost) {}
};

template <class T> struct Graph : std::vector<std::vector<Edge<T>>> {
    using std::vector<std::vector<Edge<T>>>::vector;
    void add_edge(int u, int v, T w, bool directed = false) {
        (*this)[u].emplace_back(v, w);
        if (directed) return;
        (*this)[v].emplace_back(u, w);
    }
};

struct graph : std::vector<std::vector<int>> {
    using std::vector<std::vector<int>>::vector;
    void add_edge(int u, int v, bool directed = false) {
        (*this)[u].emplace_back(v);
        if (directed) return;
        (*this)[v].emplace_back(u);
    }
};

}  // namespace ebi
#line 2 "data_structure/dual_segtree.hpp"

#line 7 "data_structure/dual_segtree.hpp"

namespace ebi {

template <class F, F (*merge)(F, F), F (*id)()> struct dual_segtree {
  private:
    void all_apply(int i, F f) {
        d[i] = merge(f, d[i]);
    }

    void push(int i) {
        assert(i < sz);
        all_apply(2 * i, d[i]);
        all_apply(2 * i + 1, d[i]);
        d[i] = id();
    }

  public:
    dual_segtree(int n) : dual_segtree(std::vector<F>(n, id())) {}

    dual_segtree(const std::vector<F> &a)
        : n(a.size()),
          sz(std::bit_ceil(a.size())),
          lg2(std::countr_zero((unsigned int)(sz))) {
        d = std::vector<F>(2 * sz, id());
        for (int i : std::views::iota(sz, sz + n)) {
            d[i] = a[i - sz];
        }
    }

    void apply(int l, int r, F f) {
        assert(0 <= l && l <= r && r <= n);
        if (l == r) return;

        l += sz;
        r += sz;

        for (int i : std::views::iota(1, lg2 + 1) | std::views::reverse) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

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

    F get(int p) {
        assert(0 <= p && p < n);
        p += sz;
        for (int i : std::views::iota(1, lg2 + 1) | std::views::reverse) {
            push(p >> i);
        }
        return d[p];
    }

  private:
    int n, sz, lg2;
    std::vector<F> d;
};

}  // namespace ebi
#line 5 "a.cpp"

namespace ebi {

i64 op(i64 a, i64 b) {
    return a + b;
}

i64 e() {
    return 0;
}

void main_() {
    int n,q;
    std::cin >> n >> q;
    graph g(n);
    rep(i,0,n-1) {
        int a,b;
        std::cin >> a >> b;
        a--; b--;
        g.add_edge(a, b);
    }
    std::vector<i64> res(n, 0);
    contour_query_on_tree cq(g);
    dual_segtree<i64, op, e> seg(cq.size());
    while(q--) {
        int x,y;
        i64 z;
        std::cin >> x >> y >> z;
        x--;
        i64 ans = res[x];
        for(auto i: cq.get_vertex(x)) {
            ans += seg.get(i);
        }
        std::cout << ans << '\n';
        y++;
        res[x] += z;
        for(auto [l, r]: cq.get_contour_from_vertex(x, 0, y)) {
            seg.apply(l, r, z);
        }
    }
}

}  // namespace ebi

int main() {
    ebi::fast_io();
    int t = 1;
    // std::cin >> t;
    while (t--) {
        ebi::main_();
    }
    return 0;
}
yukicoder

結果

テストケース

ソースコード
