Submission #1130079

#	Time	Username	Problem	Language	Result	Execution time	Memory
1130079		Benq	JOI tour (JOI24_joitour)	C++20	32 / 100	529 ms	171232 KiB

joitour

#include "joitour.h"

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <vector>
using namespace std;

using ll = long long;
using db = long double; // or double, if TL is tight
using str = string;     // yay python!

// pairs
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using pd = pair<db, db>;
#define mp make_pair
#define f first
#define s second

#define tcT template <class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT > using V = vector<T>;
tcT, size_t SZ > using AR = array<T, SZ>;
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pi>;
using vpl = V<pl>;
using vpd = V<pd>;

// vectors
#define sz(x) int(size(x))
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk back()

#define lb lower_bound
#define ub upper_bound
tcT > int lwb(const V<T> &a, const T &b) { return int(lb(all(a), b) - bg(a)); }
tcT > int upb(const V<T> &a, const T &b) { return int(ub(all(a), b) - bg(a)); }

// loops
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i, a) ROF(i, 0, a)
#define rep(a) F0R(_, a)
#define each(a, x) for (auto &a : x)

const int MOD = 998244353; // 1e9+7;
const int MX = (int)2e5 + 5;
const ll BIG = 1e18; // not too close to LLONG_MAX
const db PI = acos((db)-1);
const int dx[4]{1, 0, -1, 0}, dy[4]{0, 1, 0, -1}; // for every grid problem!!
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;

// bitwise ops
// also see https://gcc.gnu.org/onlinedocs/gcc/Other-Builtins.html
constexpr int pct(int x) { return __builtin_popcount(x); } // # of bits set
constexpr int bits(
    int x) { // assert(x >= 0); // make C++11 compatible until USACO updates ...
  return x == 0 ? 0 : 31 - __builtin_clz(x);
} // floor(log2(x))
constexpr int p2(int x) { return 1 << x; }
constexpr int msk2(int x) { return p2(x) - 1; }

ll cdiv(ll a, ll b) {
  return a / b + ((a ^ b) > 0 && a % b);
} // divide a by b rounded up
ll fdiv(ll a, ll b) {
  return a / b - ((a ^ b) < 0 && a % b);
} // divide a by b rounded down

tcT > bool ckmin(T &a, const T &b) {
  return b < a ? a = b, 1 : 0;
} // set a = min(a,b)
tcT > bool ckmax(T &a, const T &b) {
  return a < b ? a = b, 1 : 0;
} // set a = max(a,b)

tcTU > T fstTrue(T lo, T hi, U f) {
  ++hi;
  assert(lo <= hi); // assuming f is increasing
  while (lo < hi) { // find first index such that f is true
    T mid = lo + (hi - lo) / 2;
    f(mid) ? hi = mid : lo = mid + 1;
  }
  return lo;
}
tcTU > T lstTrue(T lo, T hi, U f) {
  --lo;
  assert(lo <= hi); // assuming f is decreasing
  while (lo < hi) { // find first index such that f is true
    T mid = lo + (hi - lo + 1) / 2;
    f(mid) ? lo = mid : hi = mid - 1;
  }
  return lo;
}
tcT > void remDup(vector<T> &v) { // sort and remove duplicates
  sort(all(v));
  v.erase(unique(all(v)), end(v));
}
tcTU > void safeErase(T &t, const U &u) {
  auto it = t.find(u);
  assert(it != end(t));
  t.erase(it);
}

inline namespace IO {
#define SFINAE(x, ...)                                                         \
  template <class, class = void> struct x : std::false_type {};                \
  template <class T> struct x<T, std::void_t<__VA_ARGS__>> : std::true_type {}

SFINAE(DefaultI, decltype(std::cin >> std::declval<T &>()));
SFINAE(DefaultO, decltype(std::cout << std::declval<T &>()));
SFINAE(IsTuple, typename std::tuple_size<T>::type);
SFINAE(Iterable, decltype(std::begin(std::declval<T>())));

template <auto &is> struct Reader {
  template <class T> void Impl(T &t) {
    if constexpr (DefaultI<T>::value)
      is >> t;
    else if constexpr (Iterable<T>::value) {
      for (auto &x : t)
        Impl(x);
    } else if constexpr (IsTuple<T>::value) {
      std::apply([this](auto &...args) { (Impl(args), ...); }, t);
    } else
      static_assert(IsTuple<T>::value, "No matching type for read");
  }
  template <class... Ts> void read(Ts &...ts) { ((Impl(ts)), ...); }
};

template <class... Ts> void re(Ts &...ts) { Reader<cin>{}.read(ts...); }
#define def(t, args...)                                                        \
  t args;                                                                      \
  re(args);

template <auto &os, bool debug, bool print_nd> struct Writer {
  string comma() const { return debug ? "," : ""; }
  template <class T> constexpr char Space(const T &) const {
    return print_nd && (Iterable<T>::value or IsTuple<T>::value) ? '\n' : ' ';
  }
  template <class T> void Impl(T const &t) const {
    if constexpr (DefaultO<T>::value)
      os << t;
    else if constexpr (Iterable<T>::value) {
      if (debug)
        os << '{';
      int i = 0;
      for (auto &&x : t)
        ((i++) ? (os << comma() << Space(x), Impl(x)) : Impl(x));
      if (debug)
        os << '}';
    } else if constexpr (IsTuple<T>::value) {
      if (debug)
        os << '(';
      std::apply(
          [this](auto const &...args) {
            int i = 0;
            (((i++) ? (os << comma() << " ", Impl(args)) : Impl(args)), ...);
          },
          t);
      if (debug)
        os << ')';
    } else
      static_assert(IsTuple<T>::value, "No matching type for print");
  }
  template <class T> void ImplWrapper(T const &t) const {
    if (debug)
      os << "\033[0;31m";
    Impl(t);
    if (debug)
      os << "\033[0m";
  }
  template <class... Ts> void print(Ts const &...ts) const {
    ((Impl(ts)), ...);
  }
  template <class F, class... Ts>
  void print_with_sep(const std::string &sep, F const &f,
                      Ts const &...ts) const {
    ImplWrapper(f), ((os << sep, ImplWrapper(ts)), ...), os << '\n';
  }
  void print_with_sep(const std::string &) const { os << '\n'; }
};

template <class... Ts> void pr(Ts const &...ts) {
  Writer<cout, false, true>{}.print(ts...);
}
template <class... Ts> void ps(Ts const &...ts) {
  Writer<cout, false, true>{}.print_with_sep(" ", ts...);
}
} // namespace IO

inline namespace Debug {
template <typename... Args> void err(Args... args) {
  Writer<cerr, true, false>{}.print_with_sep(" | ", args...);
}
template <typename... Args> void errn(Args... args) {
  Writer<cerr, true, true>{}.print_with_sep(" | ", args...);
}

void err_prefix(str func, int line, string args) {
  cerr << "\033[0;31m\u001b[1mDEBUG\033[0m"
       << " | "
       << "\u001b[34m" << func << "\033[0m"
       << ":"
       << "\u001b[34m" << line << "\033[0m"
       << " - "
       << "[" << args << "] = ";
}

#ifdef LOCAL
#define dbg(args...) err_prefix(__FUNCTION__, __LINE__, #args), err(args)
#define dbgn(args...) err_prefix(__FUNCTION__, __LINE__, #args), errn(args)
#else
#define dbg(...)
#define dbgn(args...)
#endif

const auto beg_time = std::chrono::high_resolution_clock::now();
// https://stackoverflow.com/questions/47980498/accurate-c-c-clock-on-a-multi-core-processor-with-auto-overclock?noredirect=1&lq=1
double time_elapsed() {
  return chrono::duration<double>(std::chrono::high_resolution_clock::now() -
                                  beg_time)
      .count();
}
} // namespace Debug

inline namespace FileIO {
void setIn(str s) { freopen(s.c_str(), "r", stdin); }
void setOut(str s) { freopen(s.c_str(), "w", stdout); }
void setIO(str s = "") {
  cin.tie(0)->sync_with_stdio(0); // unsync C / C++ I/O streams
  cout << fixed << setprecision(12);
  // cin.exceptions(cin.failbit);
  // throws exception when do smth illegal
  // ex. try to read letter into int
  if (sz(s))
    setIn(s + ".in"), setOut(s + ".out"); // for old USACO
}
} // namespace FileIO

enum Type { Vertex, Compress, Rake, AddEdge, AddVertex };

// g must be a rooted tree
struct StaticTopTree {
  vector<vector<int>> &g;
  int root;            // an index of the root in g
  int stt_root;        // an index of the root in static top tree
  vector<int> P, L, R; // parent, left child, right child
  vector<Type> T;      // type of vertices
  int add_buf;         // a variable for the member function

  StaticTopTree(vector<vector<int>> &_g, int _root = 0) : g(_g), root(_root) {
    int n = g.size();
    P.resize(4 * n, -1), L.resize(4 * n, -1), R.resize(4 * n, -1);
    T.resize(4 * n, Type::Vertex);
    add_buf = n;
    build();
  }

private:
  int dfs(int c) {
    int s = 1, best = 0;
    for (int &d : g[c]) {
      int t = dfs(d);
      s += t;
      if (best < t)
        best = t, swap(d, g[c][0]);
    }
    return s;
  }
  int add(int k, int l, int r, Type t) {
    if (k == -1)
      k = add_buf++;
    P[k] = -1, L[k] = l, R[k] = r, T[k] = t;
    if (l != -1)
      P[l] = k;
    if (r != -1)
      P[r] = k;
    return k;
  }
  pair<int, int> merge(const vector<pair<int, int>> &a, Type t) {
    if (a.size() == 1)
      return a[0];
    int u = 0;
    for (auto &[_, s] : a)
      u += s;
    vector<pair<int, int>> b, c;
    for (auto &[i, s] : a)
      (u > s ? b : c).emplace_back(i, s), u -= s * 2;
    auto [i, si] = merge(b, t);
    auto [j, sj] = merge(c, t);
    return {add(-1, i, j, t), si + sj};
  }
  pair<int, int> compress(int i) {
    vector<pair<int, int>> chs{add_vertex(i)};
    while (!g[i].empty())
      chs.push_back(add_vertex(i = g[i][0]));
    return merge(chs, Type::Compress);
  }
  pair<int, int> rake(int i) {
    vector<pair<int, int>> chs;
    for (int j = 1; j < (int)g[i].size(); j++)
      chs.push_back(add_edge(g[i][j]));
    return chs.empty() ? make_pair(-1, 0) : merge(chs, Type::Rake);
  }
  pair<int, int> add_edge(int i) {
    auto [j, sj] = compress(i);
    return {add(-1, j, -1, Type::AddEdge), sj};
  }
  pair<int, int> add_vertex(int i) {
    auto [j, sj] = rake(i);
    return {add(i, j, -1, j == -1 ? Type::Vertex : Type::AddVertex), sj + 1};
  }
  void build() {
    dfs(root);
    auto [i, n] = compress(root);
    stt_root = i;
  }
};

// #include "atcoder/modint.hpp"
// using mint = atcoder::modint998244353;

// vector<int> A;
struct Path {
  ll J, I, JO, IO, JOI;
  ll J_path, O_path, I_path;
  ll JO_path, OJ_path, IO_path, OI_path;
};

struct Point {
  ll J, I, JO, IO, JOI;
};

vi type;

Path vertex(int v) {
  Path ret{};
  if (type.at(v) == 0)
    ++ret.J, ++ret.J_path;
  else if (type.at(v) == 1)
    ++ret.O_path;
  else {
    assert(type.at(v) == 2);
    ++ret.I, ++ret.I_path;
  }
  return ret;
}
Path compress(Path p, Path c) {
  return {
      c.J + p.J,
      c.I + p.I,
      c.JO + p.JO + c.J * p.O_path,
      c.IO + p.IO + c.I * p.O_path,
      c.JOI + p.JOI + c.J * (p.IO - p.IO_path + p.OI_path) + c.JO * p.I +
          c.I * (p.JO - p.JO_path + p.OJ_path) + c.IO * p.J, // JOI, IOJ
      c.J_path + p.J_path,
      c.O_path + p.O_path,
      c.I_path + p.I_path,
      c.JO_path + p.JO_path + c.J_path * p.O_path,
      c.OJ_path + p.OJ_path + c.O_path * p.J_path,
      c.IO_path + p.IO_path + c.I_path * p.O_path,
      c.OI_path + p.OI_path + c.O_path * p.I_path,
  };
}

Path add_vertex(Point t, int v) {
  return Path{
      t.J + (type.at(v) == 0),
      t.I + (type.at(v) == 2),
      t.JO + t.J * (type.at(v) == 1),
      t.IO + t.I * (type.at(v) == 1),
      t.JOI + t.IO * (type.at(v) == 0) + t.JO * (type.at(v) == 2),
      (type.at(v) == 0),
      (type.at(v) == 1),
      (type.at(v) == 2),
      0,
      0,
      0,
      0,
  };
}

Point rake(Point x, Point y) {
  return {x.J + y.J, x.I + y.I, x.JO + y.JO, x.IO + y.IO,
          x.JOI + y.JOI + x.J * y.IO + x.JO * y.I + x.I * y.JO + x.IO * y.J};
}
// J, O, I, JO, OI, JOI
Point add_edge(Path t) { return {t.J, t.I, t.JO, t.IO, t.JOI}; }

// https://atcoder.jp/contests/abc351/tasks/abc351_g

/**
 * Description: wraps a lambda so it can call itself
 * Source: http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2016/p0200r0.html
 */

namespace std {

template <class Fun> class y_combinator_result {
  Fun fun_;

public:
  template <class T>
  explicit y_combinator_result(T &&fun) : fun_(std::forward<T>(fun)) {}

  template <class... Args> decltype(auto) operator()(Args &&...args) {
    return fun_(std::ref(*this), std::forward<Args>(args)...);
  }
};

template <class Fun> decltype(auto) y_combinator(Fun &&fun) {
  return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}

} // namespace std

void y_comb_demo() {
  cout << y_combinator([](auto gcd, int a, int b) -> int {
    return b == 0 ? a : gcd(b, a % b);
  })(20, 30)
       << "\n"; // outputs 10
}

struct SttWrapper {
  StaticTopTree stt;
  vector<Path> path;
  vector<Point> point;
  SttWrapper(V<vi> g) : stt(g), path(stt.L.size()), point(stt.L.size()) {
    auto dfs = [&](auto rc, int k) -> void {
      if (stt.L[k] != -1)
        rc(rc, stt.L[k]);
      if (stt.R[k] != -1)
        rc(rc, stt.R[k]);
      update(k);
    };
    dfs(dfs, stt.stt_root);
  }
  void update(int k) {
    if (stt.T[k] == Type::Vertex) {
      path[k] = vertex(k);
    } else if (stt.T[k] == Type::Compress) {
      path[k] = compress(path[stt.L[k]], path[stt.R[k]]);
    } else if (stt.T[k] == Type::Rake) {
      point[k] = rake(point[stt.L[k]], point[stt.R[k]]);
    } else if (stt.T[k] == Type::AddEdge) {
      point[k] = add_edge(path[stt.L[k]]);
    } else {
      path[k] = add_vertex(point[stt.L[k]], k);
    }
  }
  void change(int v, int Y) {
    type.at(v) = Y;
    while (v != -1)
      update(v), v = stt.P[v];
  }
  ll query() { return path[stt.stt_root].JOI; }
};

SttWrapper *stt;

void init(int N, std::vector<int> F, std::vector<int> U, std::vector<int> V,
          int Q) {
  type = F;
  vector<vector<int>> adj(N);
  F0R(i, N - 1) adj.at(U.at(i)).pb(V.at(i)), adj.at(V.at(i)).pb(U.at(i));
  vector<vector<int>> g(N);
  y_combinator([&](auto dfs, int u, int p) -> void {
    for (int v : adj.at(u))
      if (v != p) {
        g.at(u).pb(v);
        dfs(v, u);
      }
  })(0, -1);
  stt = new SttWrapper(g);
}

void change(int v, int Y) { stt->change(v, Y); }

long long num_tours() { return stt->query(); }

Compilation message (stderr)

joitour.cpp: In function 'void FileIO::setIn(str)':
joitour.cpp:257:28: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  257 | void setIn(str s) { freopen(s.c_str(), "r", stdin); }
      |                     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
joitour.cpp: In function 'void FileIO::setOut(str)':
joitour.cpp:258:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  258 | void setOut(str s) { freopen(s.c_str(), "w", stdout); }
      |                      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 0 / 6
• Subtask 2: 0 / 8
• Subtask 3: 0 / 6
• Subtask 4: 16 / 16
• Subtask 5: 16 / 16
• Subtask 6: 0 / 34
• Subtask 7: 0 / 14