Submission #980947

# Submission time Handle Problem Language Result Execution time Memory
980947 2024-05-12T16:10:07 Z RedGrey1993 JOI tour (JOI24_joitour) C++17
100 / 100
607 ms 204336 KB
#include "joitour.h"
#include <bits/stdc++.h>

using namespace std;
 
template <typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &pa) { is >> pa.first >> pa.second; return is; }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << "(" << pa.first << "," << pa.second << ")"; return os; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template <typename T> void resize_array(vector<T> &vec, int len) { vec.resize(len); }
template <typename T, typename... Args> void resize_array(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) resize_array(v, args...); }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; }
mt19937 mrand(random_device{}());
int rnd(int x) { return mrand() % x; }
 
#define rep(i, a, n) for (int i = a; i < (n); i++)
#define per(i, a, n) for (int i = (n)-1; i >= a; i--)
#define pb push_back
#define mp make_pair
#define all(x) (x).begin(), (x).end()
#define fi first
#define se second
#define sz(x) ((int)(x).size())
typedef vector<int> vi;
typedef long long ll;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef double db;
#if DEBUG
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl;
#else
#define dbg(x)
#endif

template <typename T>
class StaticTopTree {
 public:
  enum Type { Vertex, Compress, Rake, AddEdge, AddVertex };
  StaticTopTree(vector<vector<int>> &g, int root = 0) : g_(g), root_(root) {
    int n = g_.size();
    parent_.resize(4 * n, -1);
    left_.resize(4 * n, -1);
    right_.resize(4 * n, -1);
    vertex_type_.resize(4 * n, Type::Vertex);
    paths_.resize(4 * n);
    points_.resize(4 * n);
    cur_idx_ = n;
    build();
  }

 private:
  // do HLD(Heavy Light Decomposition), move heavy edge to g_[c][0];
  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 = cur_idx_++;
    parent_[k] = -1, left_[k] = l, right_[k] = r, vertex_type_[k] = t;
    if (l != -1) parent_[l] = k;
    if (r != -1) parent_[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;
    // make sure b/c at least has 1 item
    for (auto& [i, s] : a) (u > s ? b : c).emplace_back(i, s), u -= s * 2;
    // if use (u > 0 ? b : c), c may be 0 size, will be RE
    // for (auto &[i, s] : a) (u > 0 ? 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;
  }
  // private:
 public:
  // adjacent list of initial tree, chridren are stored in g_[parent],
  // parent can not be stored in g_[child] in this implement!!!
  // g_ must be a rooted tree
  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> parent_, left_, right_;  // parent, left child, right child
  vector<Type> vertex_type_;           // type of vertices
  int cur_idx_;                        // a variable for the index increment

  vector<int> values;

 private:
  // u: upper boundary vertex, v: lower boundary vertex
  struct TP {
    // c01u -> u can be 1, cu1v -> u or v can be 1
    // c0_u_2 -> '_' means u can not be 0/2
    ll c012,c01u,c2,c0,cu12,c01v,cv12,cu1v,c0_u_2,cvu_2,c0_uv;
    friend ostream &operator<<(ostream &os, const TP &p) { 
      return os << "c012:" << p.c012 << "\n"
                << "c01u:" << p.c01u << "\n"
                << "c2:" << p.c2 << "\n"
                << "c0:" << p.c0 << "\n"
                << "cu12:" << p.cu12 << "\n"
                << "c01v:" << p.c01v << "\n"
                << "cv12:" << p.cv12 << "\n"
                << "cu1v:" << p.cu1v << "\n"
                << "c0_u_2:" << p.c0_u_2 << "\n"
                << "cvu_2:" << p.cvu_2 << "\n"
                << "c0_uv:" << p.c0_uv << "\n"; 
    }
  };
  using Point = TP;
  using Path = TP;
  vector<Point> points_;
  vector<Path> paths_;
  Path vertex(int i) { 
    TP tp;
    tp.c012 = 0;
    tp.c01u = 0;
    tp.c2 = (values[i] == 2);
    tp.c0 = (values[i] == 0);
    tp.cu12 = 0;
    tp.c01v = 0;
    tp.cv12 = 0;
    tp.cu1v = (values[i] == 1);
    tp.c0_u_2 = 0;
    tp.cvu_2 = 0;
    tp.c0_uv = 0;
    return tp; 
  }
  Path compress(Path p, Path c) { 
    TP tp;
    tp.c012 = p.c012 + c.c012 + p.c01v * c.c2 + p.cv12 * c.c0 + p.c0 * c.cu12 + p.c2 * c.c01u;
    tp.c01u = p.c01u + c.c01u + p.cu1v * c.c0;
    tp.c2 = p.c2 + c.c2;
    tp.c0 = p.c0 + c.c0;
    tp.cu12 = p.cu12 + c.cu12 + p.cu1v * c.c2;
    tp.c01v = p.c01v + c.c01v + p.c0 * c.cu1v;
    tp.cv12 = p.cv12 + c.cv12 + p.c2 * c.cu1v;
    tp.cu1v = p.cu1v + c.cu1v;
    tp.c0_u_2 = p.c0_u_2 + c.c0 * p.cvu_2 + c.c2 * p.c0_uv;
    tp.cvu_2 = p.cvu_2;
    tp.c0_uv = p.c0_uv;
    return tp;
  }
  Path add_vertex(Point p, int i) { 
    TP tp;
    // tp.fv = values[i];
    tp.c012 = p.c012 + p.cu12 * (values[i] == 0) + p.c01u * (values[i] == 2) + p.c0_u_2 * (values[i] == 1);
    tp.c01u = p.c01u + p.c0 * (values[i] == 1);
    tp.c2 = p.c2 + (values[i] == 2);
    tp.c0 = p.c0 + (values[i] == 0);
    tp.cu12 = p.cu12 + (values[i] == 1) * p.c2;
    tp.c01v = tp.c01u;
    tp.cv12 = tp.cu12;
    tp.cu1v = (values[i] == 1);
    tp.c0_u_2 = p.c0_u_2;
    tp.cvu_2 = p.c2;
    tp.c0_uv = p.c0;
    return tp;
  }
  Point add_edge(Path p) {
    TP tp = p;
    tp.cu1v = 0;
    tp.c0_u_2 = 0;
    tp.cvu_2 = 0;
    tp.c0_uv = 0;
    return tp;
  }
  Point rake(Point p, Point c) {
    TP tp;
    // tp.fv = values[i];
    tp.c012 = p.c012 + c.c012 + p.c01u * c.c2 + p.cu12 * c.c0 + p.c2 * c.c01u + p.c0 * c.cu12;
    tp.c01u = p.c01u + c.c01u;
    tp.c2 = p.c2 + c.c2;
    tp.c0 = p.c0 + c.c0;
    tp.cu12 = p.cu12 + c.cu12;
    tp.c01v = 0;
    tp.cv12 = 0;
    tp.cu1v = 0;
    tp.c0_u_2 = p.c0_u_2 + c.c0_u_2 + p.c0 * c.c2 + p.c2 * c.c0;
    // tp.cvu_2 = 0;
    // tp.c0_uv = 0;
    return tp;
  }

  void update_node(int k) {
    if (vertex_type_[k] == Vertex) paths_[k] = vertex(k);
    else if (vertex_type_[k] == Compress) paths_[k] = compress(paths_[left_[k]], paths_[right_[k]]);
    else if (vertex_type_[k] == AddVertex) paths_[k] = add_vertex(points_[left_[k]], k);
    else if (vertex_type_[k] == AddEdge) points_[k] = add_edge(paths_[left_[k]]);
    else if (vertex_type_[k] == Rake) points_[k] = rake(points_[left_[k]], points_[right_[k]]);
  }

  void init(int k) {
    if (left_[k] != -1) init(left_[k]);
    if (right_[k] != -1) init(right_[k]);
    update_node(k);
    dbg(mp(k, vertex_type_[k]));
    dbg(points_[k]);
    dbg(paths_[k]);
  }

 public:
  void update_tree(int k, T v) {
    values[k] = v;
    while (k != -1) {
      update_node(k);
      k = parent_[k];
    }
  }

  void init() {
    init(stt_root_);
  }

  T get_answer() {
    return paths_[stt_root_].c012;
  }
};

unique_ptr<StaticTopTree<ll>> p_stt = nullptr;

void init(int N, std::vector<int> F, std::vector<int> U, std::vector<int> V, int Q) {
  vector<vi> edges(N);

  rep(i,0,N-1) {
    edges[U[i]].emplace_back(V[i]);
    edges[V[i]].emplace_back(U[i]);
  }
  vector<vi> g(N);
  function<void(int,int)> dfs=[&] (int u, int p) {
    for(int v : edges[u]) {
      if (v != p) {
        g[u].emplace_back(v);
        dfs(v, u);
      }
    }
  };
  dfs(0, -1);
  dbg(g);

  p_stt = make_unique<StaticTopTree<ll>>(g);
  p_stt->values = F;
  dbg(p_stt->values);
  p_stt->init();
}

void change(int X, int Y) {
  p_stt->update_tree(X, Y);
}

long long num_tours() {
  return p_stt->get_answer();
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 8 ms 4440 KB Output is correct
26 Correct 8 ms 4216 KB Output is correct
27 Correct 9 ms 4176 KB Output is correct
28 Correct 7 ms 4696 KB Output is correct
29 Correct 7 ms 4184 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 319 ms 194252 KB Output is correct
3 Correct 236 ms 193268 KB Output is correct
4 Correct 272 ms 188968 KB Output is correct
5 Correct 237 ms 195456 KB Output is correct
6 Correct 116 ms 175156 KB Output is correct
7 Correct 123 ms 175480 KB Output is correct
8 Correct 179 ms 174292 KB Output is correct
9 Correct 203 ms 175320 KB Output is correct
10 Correct 201 ms 175380 KB Output is correct
11 Correct 196 ms 175836 KB Output is correct
12 Correct 214 ms 182756 KB Output is correct
13 Correct 202 ms 182540 KB Output is correct
14 Correct 198 ms 182192 KB Output is correct
15 Correct 221 ms 181028 KB Output is correct
16 Correct 246 ms 199268 KB Output is correct
17 Correct 1 ms 540 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 225 ms 176044 KB Output is correct
22 Correct 206 ms 176304 KB Output is correct
23 Correct 225 ms 176064 KB Output is correct
24 Correct 215 ms 175836 KB Output is correct
25 Correct 156 ms 177480 KB Output is correct
26 Correct 162 ms 177632 KB Output is correct
27 Correct 177 ms 177488 KB Output is correct
28 Correct 168 ms 177396 KB Output is correct
29 Correct 145 ms 204060 KB Output is correct
30 Correct 150 ms 204116 KB Output is correct
31 Correct 155 ms 204200 KB Output is correct
32 Correct 150 ms 204116 KB Output is correct
33 Correct 131 ms 174820 KB Output is correct
34 Correct 130 ms 174968 KB Output is correct
35 Correct 114 ms 174808 KB Output is correct
36 Correct 122 ms 174804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 856 KB Output is correct
8 Correct 8 ms 4696 KB Output is correct
9 Correct 147 ms 204244 KB Output is correct
10 Correct 144 ms 204192 KB Output is correct
11 Correct 157 ms 204112 KB Output is correct
12 Correct 156 ms 204112 KB Output is correct
13 Correct 219 ms 102352 KB Output is correct
14 Correct 208 ms 102320 KB Output is correct
15 Correct 206 ms 102320 KB Output is correct
16 Correct 221 ms 102288 KB Output is correct
17 Correct 252 ms 102324 KB Output is correct
18 Correct 230 ms 102324 KB Output is correct
19 Correct 450 ms 204128 KB Output is correct
20 Correct 401 ms 204124 KB Output is correct
21 Correct 506 ms 204120 KB Output is correct
22 Correct 456 ms 204116 KB Output is correct
23 Correct 444 ms 204336 KB Output is correct
24 Correct 447 ms 204240 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 2 ms 600 KB Output is correct
7 Correct 8 ms 3936 KB Output is correct
8 Correct 115 ms 174996 KB Output is correct
9 Correct 118 ms 174908 KB Output is correct
10 Correct 114 ms 174992 KB Output is correct
11 Correct 114 ms 174828 KB Output is correct
12 Correct 179 ms 87612 KB Output is correct
13 Correct 247 ms 87736 KB Output is correct
14 Correct 221 ms 87484 KB Output is correct
15 Correct 225 ms 87620 KB Output is correct
16 Correct 235 ms 87528 KB Output is correct
17 Correct 251 ms 87632 KB Output is correct
18 Correct 419 ms 174820 KB Output is correct
19 Correct 477 ms 174996 KB Output is correct
20 Correct 507 ms 174816 KB Output is correct
21 Correct 485 ms 175020 KB Output is correct
22 Correct 487 ms 174816 KB Output is correct
23 Correct 478 ms 175028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 8 ms 4440 KB Output is correct
26 Correct 8 ms 4216 KB Output is correct
27 Correct 9 ms 4176 KB Output is correct
28 Correct 7 ms 4696 KB Output is correct
29 Correct 7 ms 4184 KB Output is correct
30 Correct 222 ms 94464 KB Output is correct
31 Correct 246 ms 96256 KB Output is correct
32 Correct 294 ms 96372 KB Output is correct
33 Correct 261 ms 97652 KB Output is correct
34 Correct 275 ms 97964 KB Output is correct
35 Correct 275 ms 95952 KB Output is correct
36 Correct 239 ms 87740 KB Output is correct
37 Correct 246 ms 87680 KB Output is correct
38 Correct 268 ms 87324 KB Output is correct
39 Correct 275 ms 87724 KB Output is correct
40 Correct 259 ms 87692 KB Output is correct
41 Correct 271 ms 88304 KB Output is correct
42 Correct 238 ms 91336 KB Output is correct
43 Correct 258 ms 90088 KB Output is correct
44 Correct 246 ms 90596 KB Output is correct
45 Correct 251 ms 91500 KB Output is correct
46 Correct 265 ms 90312 KB Output is correct
47 Correct 265 ms 91644 KB Output is correct
48 Correct 250 ms 97168 KB Output is correct
49 Correct 278 ms 99584 KB Output is correct
50 Correct 255 ms 96520 KB Output is correct
51 Correct 236 ms 88100 KB Output is correct
52 Correct 243 ms 88240 KB Output is correct
53 Correct 276 ms 88128 KB Output is correct
54 Correct 255 ms 88124 KB Output is correct
55 Correct 301 ms 88276 KB Output is correct
56 Correct 265 ms 88108 KB Output is correct
57 Correct 203 ms 89024 KB Output is correct
58 Correct 211 ms 88980 KB Output is correct
59 Correct 226 ms 89036 KB Output is correct
60 Correct 236 ms 89040 KB Output is correct
61 Correct 216 ms 89032 KB Output is correct
62 Correct 213 ms 102340 KB Output is correct
63 Correct 190 ms 102340 KB Output is correct
64 Correct 228 ms 102324 KB Output is correct
65 Correct 212 ms 102324 KB Output is correct
66 Correct 240 ms 102252 KB Output is correct
67 Correct 232 ms 102096 KB Output is correct
68 Correct 182 ms 87612 KB Output is correct
69 Correct 207 ms 87616 KB Output is correct
70 Correct 218 ms 87636 KB Output is correct
71 Correct 216 ms 87612 KB Output is correct
72 Correct 231 ms 87724 KB Output is correct
73 Correct 269 ms 87632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 8 ms 4440 KB Output is correct
26 Correct 8 ms 4216 KB Output is correct
27 Correct 9 ms 4176 KB Output is correct
28 Correct 7 ms 4696 KB Output is correct
29 Correct 7 ms 4184 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 319 ms 194252 KB Output is correct
32 Correct 236 ms 193268 KB Output is correct
33 Correct 272 ms 188968 KB Output is correct
34 Correct 237 ms 195456 KB Output is correct
35 Correct 116 ms 175156 KB Output is correct
36 Correct 123 ms 175480 KB Output is correct
37 Correct 179 ms 174292 KB Output is correct
38 Correct 203 ms 175320 KB Output is correct
39 Correct 201 ms 175380 KB Output is correct
40 Correct 196 ms 175836 KB Output is correct
41 Correct 214 ms 182756 KB Output is correct
42 Correct 202 ms 182540 KB Output is correct
43 Correct 198 ms 182192 KB Output is correct
44 Correct 221 ms 181028 KB Output is correct
45 Correct 246 ms 199268 KB Output is correct
46 Correct 1 ms 540 KB Output is correct
47 Correct 0 ms 344 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 344 KB Output is correct
50 Correct 225 ms 176044 KB Output is correct
51 Correct 206 ms 176304 KB Output is correct
52 Correct 225 ms 176064 KB Output is correct
53 Correct 215 ms 175836 KB Output is correct
54 Correct 156 ms 177480 KB Output is correct
55 Correct 162 ms 177632 KB Output is correct
56 Correct 177 ms 177488 KB Output is correct
57 Correct 168 ms 177396 KB Output is correct
58 Correct 145 ms 204060 KB Output is correct
59 Correct 150 ms 204116 KB Output is correct
60 Correct 155 ms 204200 KB Output is correct
61 Correct 150 ms 204116 KB Output is correct
62 Correct 131 ms 174820 KB Output is correct
63 Correct 130 ms 174968 KB Output is correct
64 Correct 114 ms 174808 KB Output is correct
65 Correct 122 ms 174804 KB Output is correct
66 Correct 0 ms 344 KB Output is correct
67 Correct 0 ms 344 KB Output is correct
68 Correct 1 ms 344 KB Output is correct
69 Correct 1 ms 344 KB Output is correct
70 Correct 1 ms 344 KB Output is correct
71 Correct 1 ms 344 KB Output is correct
72 Correct 1 ms 856 KB Output is correct
73 Correct 8 ms 4696 KB Output is correct
74 Correct 147 ms 204244 KB Output is correct
75 Correct 144 ms 204192 KB Output is correct
76 Correct 157 ms 204112 KB Output is correct
77 Correct 156 ms 204112 KB Output is correct
78 Correct 219 ms 102352 KB Output is correct
79 Correct 208 ms 102320 KB Output is correct
80 Correct 206 ms 102320 KB Output is correct
81 Correct 221 ms 102288 KB Output is correct
82 Correct 252 ms 102324 KB Output is correct
83 Correct 230 ms 102324 KB Output is correct
84 Correct 450 ms 204128 KB Output is correct
85 Correct 401 ms 204124 KB Output is correct
86 Correct 506 ms 204120 KB Output is correct
87 Correct 456 ms 204116 KB Output is correct
88 Correct 444 ms 204336 KB Output is correct
89 Correct 447 ms 204240 KB Output is correct
90 Correct 0 ms 344 KB Output is correct
91 Correct 1 ms 344 KB Output is correct
92 Correct 1 ms 344 KB Output is correct
93 Correct 1 ms 344 KB Output is correct
94 Correct 1 ms 344 KB Output is correct
95 Correct 2 ms 600 KB Output is correct
96 Correct 8 ms 3936 KB Output is correct
97 Correct 115 ms 174996 KB Output is correct
98 Correct 118 ms 174908 KB Output is correct
99 Correct 114 ms 174992 KB Output is correct
100 Correct 114 ms 174828 KB Output is correct
101 Correct 179 ms 87612 KB Output is correct
102 Correct 247 ms 87736 KB Output is correct
103 Correct 221 ms 87484 KB Output is correct
104 Correct 225 ms 87620 KB Output is correct
105 Correct 235 ms 87528 KB Output is correct
106 Correct 251 ms 87632 KB Output is correct
107 Correct 419 ms 174820 KB Output is correct
108 Correct 477 ms 174996 KB Output is correct
109 Correct 507 ms 174816 KB Output is correct
110 Correct 485 ms 175020 KB Output is correct
111 Correct 487 ms 174816 KB Output is correct
112 Correct 478 ms 175028 KB Output is correct
113 Correct 222 ms 94464 KB Output is correct
114 Correct 246 ms 96256 KB Output is correct
115 Correct 294 ms 96372 KB Output is correct
116 Correct 261 ms 97652 KB Output is correct
117 Correct 275 ms 97964 KB Output is correct
118 Correct 275 ms 95952 KB Output is correct
119 Correct 239 ms 87740 KB Output is correct
120 Correct 246 ms 87680 KB Output is correct
121 Correct 268 ms 87324 KB Output is correct
122 Correct 275 ms 87724 KB Output is correct
123 Correct 259 ms 87692 KB Output is correct
124 Correct 271 ms 88304 KB Output is correct
125 Correct 238 ms 91336 KB Output is correct
126 Correct 258 ms 90088 KB Output is correct
127 Correct 246 ms 90596 KB Output is correct
128 Correct 251 ms 91500 KB Output is correct
129 Correct 265 ms 90312 KB Output is correct
130 Correct 265 ms 91644 KB Output is correct
131 Correct 250 ms 97168 KB Output is correct
132 Correct 278 ms 99584 KB Output is correct
133 Correct 255 ms 96520 KB Output is correct
134 Correct 236 ms 88100 KB Output is correct
135 Correct 243 ms 88240 KB Output is correct
136 Correct 276 ms 88128 KB Output is correct
137 Correct 255 ms 88124 KB Output is correct
138 Correct 301 ms 88276 KB Output is correct
139 Correct 265 ms 88108 KB Output is correct
140 Correct 203 ms 89024 KB Output is correct
141 Correct 211 ms 88980 KB Output is correct
142 Correct 226 ms 89036 KB Output is correct
143 Correct 236 ms 89040 KB Output is correct
144 Correct 216 ms 89032 KB Output is correct
145 Correct 213 ms 102340 KB Output is correct
146 Correct 190 ms 102340 KB Output is correct
147 Correct 228 ms 102324 KB Output is correct
148 Correct 212 ms 102324 KB Output is correct
149 Correct 240 ms 102252 KB Output is correct
150 Correct 232 ms 102096 KB Output is correct
151 Correct 182 ms 87612 KB Output is correct
152 Correct 207 ms 87616 KB Output is correct
153 Correct 218 ms 87636 KB Output is correct
154 Correct 216 ms 87612 KB Output is correct
155 Correct 231 ms 87724 KB Output is correct
156 Correct 269 ms 87632 KB Output is correct
157 Correct 550 ms 191964 KB Output is correct
158 Correct 540 ms 193612 KB Output is correct
159 Correct 576 ms 191480 KB Output is correct
160 Correct 554 ms 189100 KB Output is correct
161 Correct 607 ms 195024 KB Output is correct
162 Correct 533 ms 194576 KB Output is correct
163 Correct 459 ms 175328 KB Output is correct
164 Correct 492 ms 175328 KB Output is correct
165 Correct 565 ms 174488 KB Output is correct
166 Correct 554 ms 175084 KB Output is correct
167 Correct 595 ms 175068 KB Output is correct
168 Correct 567 ms 176364 KB Output is correct
169 Correct 470 ms 182172 KB Output is correct
170 Correct 530 ms 180608 KB Output is correct
171 Correct 524 ms 180800 KB Output is correct
172 Correct 523 ms 179684 KB Output is correct
173 Correct 528 ms 181316 KB Output is correct
174 Correct 542 ms 182388 KB Output is correct
175 Correct 581 ms 193460 KB Output is correct
176 Correct 531 ms 197920 KB Output is correct
177 Correct 568 ms 203168 KB Output is correct
178 Correct 513 ms 175820 KB Output is correct
179 Correct 563 ms 176096 KB Output is correct
180 Correct 580 ms 175868 KB Output is correct
181 Correct 598 ms 175832 KB Output is correct
182 Correct 604 ms 176000 KB Output is correct
183 Correct 591 ms 176044 KB Output is correct
184 Correct 438 ms 177480 KB Output is correct
185 Correct 502 ms 177608 KB Output is correct
186 Correct 501 ms 177576 KB Output is correct
187 Correct 514 ms 177592 KB Output is correct
188 Correct 561 ms 177604 KB Output is correct