Submission #988530

# Submission time Handle Problem Language Result Execution time Memory
988530 2024-05-25T06:07:12 Z AC2K Regions (IOI09_regions) C++17
0 / 100
298 ms 131072 KB
#line 1 "Library/src/debug.hpp"
#ifdef ONLINE_JUDGE
#define debug(x) void(0)
#else
#define _GLIBCXX_DEBUG
#define debug(x) std::cerr << __LINE__ << " : " << #x << " = " << (x) << std::endl
#endif

/**
 * @brief Debugger
*/
#line 2 "Library/src/stream.hpp"
#include <ctype.h>
#include <stdio.h>
#include <string>
#line 2 "Library/src/internal/type_traits.hpp"
#include <iostream>
#include <limits>
#include <numeric>
#include <typeinfo>
#include <cstdint>

namespace kyopro {
namespace internal {
template <typename... Args> struct first_enabled {};

template <typename T, typename... Args>
struct first_enabled<std::enable_if<true, T>, Args...> {
    using type = T;
};
template <typename T, typename... Args>
struct first_enabled<std::enable_if<false, T>, Args...>
    : first_enabled<Args...> {};
template <typename T, typename... Args> struct first_enabled<T, Args...> {
    using type = T;
};

template <typename... Args>
using first_enabled_t = typename first_enabled<Args...>::type;

template <int dgt, std::enable_if_t<dgt <= 128>* = nullptr> struct int_least {
    using type = first_enabled_t<std::enable_if<dgt <= 8, std::int8_t>,
                                 std::enable_if<dgt <= 16, std::int16_t>,
                                 std::enable_if<dgt <= 32, std::int32_t>,
                                 std::enable_if<dgt <= 64, std::int64_t>,
                                 std::enable_if<dgt <= 128, __int128_t>>;
};

template <int dgt, std::enable_if_t<dgt <= 128>* = nullptr> struct uint_least {
    using type = first_enabled_t<std::enable_if<dgt <= 8, std::uint8_t>,
                                 std::enable_if<dgt <= 16, std::uint16_t>,
                                 std::enable_if<dgt <= 32, std::uint32_t>,
                                 std::enable_if<dgt <= 64, std::uint64_t>,
                                 std::enable_if<dgt <= 128, __uint128_t>>;
};

template <int dgt> using int_least_t = typename int_least<dgt>::type;
template <int dgt> using uint_least_t = typename uint_least<dgt>::type;

template <typename T>
using double_size_uint_t = uint_least_t<2 * std::numeric_limits<T>::digits>;

template <typename T>
using double_size_int_t = int_least_t<2 * std::numeric_limits<T>::digits>;

struct modint_base {};
template <typename T> using is_modint = std::is_base_of<modint_base, T>;
template <typename T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;


// is_integral
template <typename T>
using is_integral_t =
    std::enable_if_t<std::is_integral_v<T> || std::is_same_v<T, __int128_t> ||
                   std::is_same_v<T, __uint128_t>>;
};  // namespace internal
};  // namespace kyopro

/**
 * @brief Type Traits
 * @see https://qiita.com/kazatsuyu/items/f8c3b304e7f8b35263d8
 */
#line 6 "Library/src/stream.hpp"

namespace kyopro {

inline void single_read(char& c) {
    c = getchar_unlocked();
    while (isspace(c)) c = getchar_unlocked();
}
template <typename T, internal::is_integral_t<T>* = nullptr>
inline void single_read(T& a) {
    a = 0;
    bool is_negative = false;
    char c = getchar_unlocked();
    while (isspace(c)) {
        c = getchar_unlocked();
    }
    if (c == '-') is_negative = true, c = getchar_unlocked();
    while (isdigit(c)) {
        a = 10 * a + (c - '0');
        c = getchar_unlocked();
    }
    if (is_negative) a *= -1;
}
template <typename T, internal::is_modint_t<T>* = nullptr>
inline void single_read(T& a) {
    long long x;
    single_read(x);
    a = T(x);
}
inline void single_read(std::string& str) noexcept {
    char c = getchar_unlocked();
    while (isspace(c)) c = getchar_unlocked();
    while (!isspace(c)) {
        str += c;
        c = getchar_unlocked();
    }
}
template<typename T>
inline void read(T& x) noexcept {single_read(x);}
template <typename Head, typename... Tail>
inline void read(Head& head, Tail&... tail) noexcept {
    single_read(head), read(tail...);
}

inline void single_write(char c) noexcept { putchar_unlocked(c); }
template <typename T, internal::is_integral_t<T>* = nullptr>
inline void single_write(T a) noexcept {
    if (!a) {
        putchar_unlocked('0');
        return;
    }
    if constexpr (std::is_signed_v<T>) {
        if (a < 0) putchar_unlocked('-'), a *= -1;
    }
    constexpr int d = std::numeric_limits<T>::digits10;
    char s[d + 1];
    int now = d + 1;
    while (a) {
        s[--now] = (char)'0' + a % 10;
        a /= 10;
    }
    while (now <= d) putchar_unlocked(s[now++]);
}
template <typename T, internal::is_modint_t<T>* = nullptr>
inline void single_write(T a) noexcept {
    single_write(a.val());
}
inline void single_write(const std::string& str) noexcept {
    for (auto c : str) {
        putchar_unlocked(c);
    }
}
template <typename T> inline void write(T x) noexcept { single_write(x); }
template <typename Head, typename... Tail>
inline void write(Head head, Tail... tail) noexcept {
    single_write(head);
    putchar_unlocked(' ');
    write(tail...);
}
template <typename... Args> inline void put(Args... x) noexcept {
    write(x...);
    putchar_unlocked('\n');
}
};  // namespace kyopro

/**
 * @brief Fast IO(高速入出力)
 */
#line 2 "Library/src/template.hpp"
#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); i++)
#define all(x) std::begin(x), std::end(x)
#define popcount(x) __builtin_popcountll(x)
using i128 = __int128_t;
using ll = long long;
using ld = long double;
using graph = std::vector<std::vector<int>>;
using P = std::pair<int, int>;
constexpr int inf = std::numeric_limits<int>::max() / 2;
constexpr ll infl = std::numeric_limits<ll>::max() / 2;
const long double pi = acosl(-1);
constexpr int dx[] = {1, 0, -1, 0, 1, -1, -1, 1, 0};
constexpr int dy[] = {0, 1, 0, -1, 1, 1, -1, -1, 0};
template <typename T1, typename T2> constexpr inline bool chmax(T1& a, T2 b) {
    return a < b && (a = b, true);
}
template <typename T1, typename T2> constexpr inline bool chmin(T1& a, T2 b) {
    return a > b && (a = b, true);
}

/**
 * @brief Template
*/
#line 4 "Library/src/data-structure/sparse_table.hpp"
namespace kyopro {

template <class T, auto op> class sparse_table {
    std::vector<T> vec;
    std::vector<std::vector<T>> table;
    std::vector<int> lg;

public:
    constexpr sparse_table(int n) : vec(n) {}
    constexpr sparse_table(const std::vector<T>& vec) : vec(vec) { build(); }

    void set(int p, const T& v) { vec[p] = v; }
    void build() {
        int sz = vec.size();
        int log = 0;
        while ((1 << log) <= sz) {
            log++;
        }
        table.assign(log, std::vector<T>(1 << log));
        for (int i = 0; i < sz; i++) {
            table[0][i] = vec[i];
        }
        for (int i = 1; i < log; i++) {
            for (int j = 0; j + (1 << i) <= (1 << log); j++) {
                table[i][j] =
                    op(table[i - 1][j], table[i - 1][j + (1 << (i - 1))]);
            }
        }
        lg.resize(sz + 1);
        for (int i = 2; i < (int)lg.size(); i++) {
            lg[i] = lg[i >> 1] + 1;
        }
    }

    T fold(int l, int r) const {
        int b = lg[r - l];
        return op(table[b][l], table[b][r - (1 << b)]);
    }
};
};  // namespace kyopro

/**
 * @brief Sparse Table
 */
#line 2 "Library/src/internal/CSR.hpp"

#line 7 "Library/src/internal/CSR.hpp"

namespace kyopro {
namespace internal {

template <typename T, typename _size_t> class csr {
    _size_t n;
    std::vector<T> d;
    std::vector<_size_t> ssum;

public:
    csr() = default;
    csr(_size_t n, const std::vector<std::pair<_size_t, T>>& v)
        : n(n), ssum(n + 1), d(v.size()) {
        for (int i = 0; i < (int)v.size(); ++i) {
            ++ssum[v[i].first + 1];
        }
        for (int i = 0; i < n; ++i) {
            ssum[i + 1] += ssum[i];
        }

        std::vector cnt = ssum;
        for (auto e : v) d[cnt[e.first]++] = e.second;
    }

    struct vector_range {
        using iterator = typename std::vector<T>::iterator;
        iterator l, r;

        iterator begin() const { return l; }
        iterator end() const { return r; }
        _size_t size() { return std::distance(l, r); }
        T& operator[](_size_t i) const { return l[i]; }
    };
    struct const_vector_range {
        using const_iterator = typename std::vector<T>::const_iterator;
        const_iterator l, r;

        const_iterator begin() const { return l; }
        const_iterator end() const { return r; }
        _size_t size() { return (_size_t)std::distance(l, r); }
        const T& operator[](_size_t i) const { return l[i]; }
    };

    vector_range operator[](_size_t i) {
        return vector_range{d.begin() + ssum[i], d.begin() + ssum[i + 1]};
    }
    const_vector_range operator[](_size_t i) const {
        return const_vector_range{d.begin() + ssum[i], d.begin() + ssum[i + 1]};
    }

    _size_t size() const { return (_size_t)n; }
};
};  // namespace internal
};  // namespace kyopro

/**
 * @brief CSR形式(二次元ベクトルの圧縮)
 */
#line 6 "Library/src/tree/EulerTour.hpp"

namespace kyopro {

class EulerTour {
    int n;

    std::vector<std::pair<int, int>> es;
    std::vector<int> tour;
    std::vector<int> in, out, depth;

    struct get_min_pair {
        using value_t = std::pair<int, int>;
        static value_t op(value_t x, value_t y) { return std::min(x, y); }
    };

    sparse_table<get_min_pair::value_t, get_min_pair::op> rmq;

public:
    explicit EulerTour(int n)
        : n(n), in(n, -1), out(n, -1), depth(n, -1), rmq(2 * n - 1) {
        tour.reserve(2 * n);
        es.reserve(2 * n);
    }

    void add_edge(int u, int v) {
        assert(0 <= v && v < n);
        assert(0 <= u && u < n);
        es.emplace_back(u, v);
        es.emplace_back(v, u);
    }

    int get_depth(int v) const {
        assert(0 <= v && v < n);
        return depth[v];
    }

    void build(int r = 0) {
        internal::csr g(n, es);
        auto dfs = [&](const auto& self, int v, int p) -> void {
            in[v] = tour.size();
            tour.emplace_back(v);
            for (auto nv : g[v]) {
                if (nv != p) {
                    depth[nv] = depth[v] + 1;
                    self(self, nv, v);
                    tour.emplace_back(v);
                }
            }
            out[v] = tour.size() - 1;
        };
        dfs(dfs, r, -1);
        for (int i = 0; i < (int)tour.size(); i++) {
            rmq.set(i, {depth[tour[i]], tour[i]});
        }
        rmq.build();
    }

    std::pair<int, int> idx(int v) const {
        assert(0 <= v && v < n);
        return {in[v], out[v]};
    }
    
    int lca(int v, int u) const {
        assert(0 <= v && v < n);
        assert(0 <= u && u < n);
        if (in[v] > in[u] + 1) {
            std::swap(u, v);
        }
        return rmq.fold(in[v], in[u] + 1).second;
    }

    int dist(int v, int u) const {
        assert(0 <= v && v < n);
        assert(0 <= u && u < n);
        int p = lca(v, u);
        return depth[v] + depth[u] - 2 * depth[p];
    }

    bool is_in_subtree(int par, int v) const {
        assert(0 <= par && par < n);
        assert(0 <= v && v < n);

        return (in[par] <= in[v] && out[v] <= out[par]);
    }
};
};  // namespace kyopro

/**
 * @brief Euler Tour
 * @docs docs/tree/EulerTour.md
 */
#line 5 "a.cpp"

using namespace std;
using namespace kyopro;

int main() {
    int n, r, q;
    read(n, r, q);

    vector<int> region(n);
    vector<vector<int>> vertices(r);
    read(region[0]), --region[0];

    EulerTour g(n);
    for (int i = 1; i < n; ++i) {
        int p;
        read(p, region[i]), --p, --region[i];
        g.add_edge(p, i);
    }

    g.build(0);
    vector<vector<P>> rngs(r);
    rep(i, n) rngs[region[i]].emplace_back(g.idx(i));
    rep(i, r) sort(all(rngs[i]));

    while (q--) {
        int r1, r2;
        read(r1, r2);
        --r1, --r2;
        ll ans = 0;
        for (auto [l, r] : rngs[r1]) {
            int cnt = lower_bound(all(rngs[r2]), pair(r, 0)) -
                      lower_bound(all(rngs[r2]), pair(l, 0));
            ans += cnt;
        }
        put(ans);
    }
}

Compilation message

Library/src/internal/CSR.hpp: In instantiation of 'kyopro::internal::csr<T, _size_t>::csr(_size_t, const std::__debug::vector<std::pair<_Up, _Tp> >&) [with T = int; _size_t = int]':
Library/src/tree/EulerTour.hpp:43:30:   required from here
Library/src/internal/CSR.hpp:14:26: warning: 'kyopro::internal::csr<int, int>::ssum' will be initialized after [-Wreorder]
Library/src/internal/CSR.hpp:13:20: warning:   'std::__debug::vector<int> kyopro::internal::csr<int, int>::d' [-Wreorder]
Library/src/internal/CSR.hpp:18:5: warning:   when initialized here [-Wreorder]
# Verdict Execution time Memory Grader output
1 Execution timed out 1 ms 344 KB Time limit exceeded (wall clock)
2 Execution timed out 1 ms 344 KB Time limit exceeded (wall clock)
3 Execution timed out 1 ms 344 KB Time limit exceeded (wall clock)
4 Execution timed out 1 ms 340 KB Time limit exceeded (wall clock)
5 Execution timed out 1 ms 344 KB Time limit exceeded (wall clock)
6 Execution timed out 1 ms 856 KB Time limit exceeded (wall clock)
7 Execution timed out 2 ms 856 KB Time limit exceeded (wall clock)
8 Execution timed out 3 ms 1084 KB Time limit exceeded (wall clock)
9 Execution timed out 6 ms 4192 KB Time limit exceeded (wall clock)
10 Execution timed out 13 ms 5208 KB Time limit exceeded (wall clock)
11 Execution timed out 18 ms 5720 KB Time limit exceeded (wall clock)
12 Execution timed out 29 ms 12028 KB Time limit exceeded (wall clock)
13 Execution timed out 34 ms 10792 KB Time limit exceeded (wall clock)
14 Execution timed out 37 ms 11620 KB Time limit exceeded (wall clock)
15 Execution timed out 61 ms 33460 KB Time limit exceeded (wall clock)
# Verdict Execution time Memory Grader output
1 Execution timed out 127 ms 48784 KB Time limit exceeded (wall clock)
2 Execution timed out 134 ms 45288 KB Time limit exceeded (wall clock)
3 Execution timed out 222 ms 55876 KB Time limit exceeded (wall clock)
4 Execution timed out 35 ms 12144 KB Time limit exceeded (wall clock)
5 Execution timed out 50 ms 29392 KB Time limit exceeded (wall clock)
6 Execution timed out 79 ms 24452 KB Time limit exceeded (wall clock)
7 Execution timed out 90 ms 46140 KB Time limit exceeded (wall clock)
8 Execution timed out 151 ms 66868 KB Time limit exceeded (wall clock)
9 Execution timed out 230 ms 98884 KB Time limit exceeded (wall clock)
10 Execution timed out 247 ms 121448 KB Time limit exceeded (wall clock)
11 Execution timed out 268 ms 97892 KB Time limit exceeded (wall clock)
12 Execution timed out 259 ms 96904 KB Time limit exceeded (wall clock)
13 Execution timed out 263 ms 101988 KB Time limit exceeded (wall clock)
14 Execution timed out 298 ms 99260 KB Time limit exceeded (wall clock)
15 Execution timed out 274 ms 117752 KB Time limit exceeded (wall clock)
16 Runtime error 138 ms 131072 KB Execution killed with signal 9
17 Runtime error 136 ms 131072 KB Execution killed with signal 9