oj.uz

Submission #255578

# Submission time Handle Problem Language Result Execution time Memory
255578 2020-08-01T10:57:15 Z EntityIT Land of the Rainbow Gold (APIO17_rainbow) C++14
100 / 100
 1376 ms 71836 KB 
#include <bits/stdc++.h>
using namespace std;

#define ALL(x) (x).begin(), (x).end()
#define SZ(x) static_cast<int>((x).size())

template<class T, size_t D>
struct vec : vector<vec<T, D - 1>> {
  template<class... Args>
  vec(size_t n = 0, Args... args)
      : vector<vec<T, D - 1>>(n, vec<T, D - 1>(args...)) {}
};
template<class T>
struct vec<T, 1> : vector<T> {
  template<class... Args>
  vec(Args... args)
      : vector<T>(args...) {}
};

template<class T>
inline bool Minimize(T& a, const T& b) { return a > b ? a = b, true : false; }
template<class T>
inline bool Maximize(T& a, const T& b) { return a < b ? a = b, true : false; }
inline int Next(int i, int n) { return i == n - 1 ? 0 : i + 1; }
inline int Prev(int i, int n) { return !i ? n - 1 : i - 1; }

mt19937 rng(static_cast<uint32_t>(chrono::steady_clock::now().time_since_epoch().count()));

#include "rainbow.h"

template<class X, class Y, class T>
struct BIT2D {
  vec<X, 1> compressed_xs;
  vec<Y, 2> compressed_ys_groups;
  vec<T, 2> a;
  BIT2D(const vec<pair<X, Y>, 1>& points = vec<pair<X, Y>, 1>()) {
    for (auto& point : points) {
      compressed_xs.emplace_back(point.first);
    }
    sort(ALL(compressed_xs)); compressed_xs.erase(unique(ALL(compressed_xs)), compressed_xs.end());
    compressed_ys_groups.resize(SZ(compressed_xs));
    for (auto& point : points) {
      for (int i = static_cast<int>(lower_bound(ALL(compressed_xs), point.first) - compressed_xs.begin()); i < SZ(compressed_xs); i |= i + 1) {
        compressed_ys_groups[i].emplace_back(point.second);
      }
    }
    for (auto& compressed_ys : compressed_ys_groups) {
      sort(ALL(compressed_ys)); compressed_ys.erase(unique(ALL(compressed_ys)), compressed_ys.end());
    }
    a = compressed_ys_groups;
    for (auto& i : a) {
      fill(ALL(i), T());
    }
  }

  template<class U>
  void Add(X x, Y y, U value) {
    for (int i = static_cast<int>(lower_bound(ALL(compressed_xs), x) - compressed_xs.begin()); i < SZ(compressed_xs); i |= i + 1) {
      for (int j = static_cast<int>(lower_bound(ALL(compressed_ys_groups[i]), y) - compressed_ys_groups[i].begin()); j < SZ(compressed_ys_groups[i]); j |= j + 1) {
        a[i][j] += value;
      }
    }
  }
  T Get(X x, Y y) const {
    T ret{};
    for (int i = static_cast<int>(upper_bound(ALL(compressed_xs), x) - compressed_xs.begin()) - 1; ~i; i = (i & (i + 1)) - 1) {
      for (int j = static_cast<int>(upper_bound(ALL(compressed_ys_groups[i]), y) - compressed_ys_groups[i].begin()) - 1; ~j; j = (j & (j + 1)) - 1) {
        ret += a[i][j];
      }
    }
    return ret;
  }
  T Get(X x_1, Y y_1, X x_2, Y y_2) const {
    return x_1 > x_2 || y_1 > y_2 ? 0 : Get(x_2, y_2) + Get(x_1 - 1, y_1 - 1) - Get(x_2, y_1 - 1) - Get(x_1 - 1, y_2);
  }
};
BIT2D<int, int, int> bit2D_cell, bit2D_vertex, bit2D_vertical_edge, bit2D_horizontal_edge;

void init(int n_rows, int n_columns, int starting_row, int starting_column, int n_steps, char *steps) {
  vec<pair<int, int>, 1> cells, vertices, vertical_edges, horizontal_edges;
  for (int i = 0, x = starting_row, y = starting_column; i <= n_steps; x += steps[i] == 'N' ? -1 : (steps[i] == 'S' ? 1 : 0), y += steps[i] == 'W' ? -1 : (steps[i] == 'E' ? 1 : 0), ++i) {
    cells.emplace_back(x, y);
    vertices.emplace_back(x, y);
    vertices.emplace_back(x - 1, y);
    vertices.emplace_back(x, y - 1);
    vertices.emplace_back(x - 1, y - 1);
    vertical_edges.emplace_back(x, y);
    vertical_edges.emplace_back(x, y - 1);
    horizontal_edges.emplace_back(x, y);
    horizontal_edges.emplace_back(x - 1, y);
  }
  sort(ALL(cells)); cells.erase(unique(ALL(cells)), cells.end());
  sort(ALL(vertices)); vertices.erase(unique(ALL(vertices)), vertices.end());
  sort(ALL(vertical_edges)); vertical_edges.erase(unique(ALL(vertical_edges)), vertical_edges.end());
  sort(ALL(horizontal_edges)); horizontal_edges.erase(unique(ALL(horizontal_edges)), horizontal_edges.end());
  bit2D_cell = BIT2D<int, int, int>(cells);
  bit2D_vertex = BIT2D<int, int, int>(vertices);
  bit2D_vertical_edge = BIT2D<int, int, int>(vertical_edges);
  bit2D_horizontal_edge = BIT2D<int, int, int>(horizontal_edges);
  for (auto& cell : cells) {
    bit2D_cell.Add(cell.first, cell.second, 1);
  }
  for (auto& vertex : vertices) {
    bit2D_vertex.Add(vertex.first, vertex.second, 1);
  }
  for (auto& vertical_edge : vertical_edges) {
    bit2D_vertical_edge.Add(vertical_edge.first, vertical_edge.second, 1);
  }
  for (auto& horizontal_edge : horizontal_edges) {
    bit2D_horizontal_edge.Add(horizontal_edge.first, horizontal_edge.second, 1);
  }
}

int colour(int r_1, int c_1, int r_2, int c_2) {
  int n_vertices = ((r_2 - r_1 + 1 + c_2 - c_1 + 1) << 1) + bit2D_vertex.Get(r_1, c_1, r_2 - 1, c_2 - 1);

  int n_edges = ((r_2 - r_1 + 1 + c_2 - c_1 + 1) << 1) + bit2D_vertical_edge.Get(r_1, c_1, r_2, c_2 - 1) + bit2D_horizontal_edge.Get(r_1, c_1, r_2 - 1, c_2);

  int tmp_1 = bit2D_vertex.Get(r_1 - 1, c_1 - 1, r_2, c_2), tmp_2 = bit2D_vertex.Get(r_1, c_1, r_2 - 1, c_2 - 1);
  int n_connected_components = 1 + (tmp_1 == tmp_2 && tmp_1);

  return 1 + n_connected_components - n_vertices + n_edges - (1 + bit2D_cell.Get(r_1, c_1, r_2, c_2));
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 9 ms 640 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 6 ms 512 KB Output is correct
5 Correct 9 ms 696 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 6 ms 512 KB Output is correct
12 Correct 7 ms 640 KB Output is correct
13 Correct 9 ms 640 KB Output is correct
14 Correct 11 ms 908 KB Output is correct
15 Correct 1 ms 256 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 1 ms 256 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 351 ms 10284 KB Output is correct
4 Correct 446 ms 18064 KB Output is correct
5 Correct 440 ms 18192 KB Output is correct
6 Correct 365 ms 15632 KB Output is correct
7 Correct 430 ms 15888 KB Output is correct
8 Correct 135 ms 9616 KB Output is correct
9 Correct 446 ms 18064 KB Output is correct
10 Correct 459 ms 18192 KB Output is correct
11 Correct 392 ms 15632 KB Output is correct
12 Correct 256 ms 16752 KB Output is correct
13 Correct 250 ms 18196 KB Output is correct
14 Correct 274 ms 18064 KB Output is correct
15 Correct 259 ms 15504 KB Output is correct
16 Correct 375 ms 15272 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 172 ms 17116 KB Output is correct
3 Correct 364 ms 71260 KB Output is correct
4 Correct 529 ms 56668 KB Output is correct
5 Correct 487 ms 55900 KB Output is correct
6 Correct 135 ms 12408 KB Output is correct
7 Correct 204 ms 15452 KB Output is correct
8 Correct 216 ms 18524 KB Output is correct
9 Correct 227 ms 18528 KB Output is correct
10 Correct 80 ms 6352 KB Output is correct
11 Correct 174 ms 14812 KB Output is correct
12 Correct 177 ms 17244 KB Output is correct
13 Correct 386 ms 71400 KB Output is correct
14 Correct 528 ms 56676 KB Output is correct
15 Correct 467 ms 55900 KB Output is correct
16 Correct 113 ms 11228 KB Output is correct
17 Correct 191 ms 16092 KB Output is correct
18 Correct 334 ms 26588 KB Output is correct
19 Correct 265 ms 43612 KB Output is correct
20 Correct 268 ms 43612 KB Output is correct
21 Correct 206 ms 18524 KB Output is correct
22 Correct 222 ms 18396 KB Output is correct
23 Correct 81 ms 6372 KB Output is correct
24 Correct 165 ms 14812 KB Output is correct
25 Correct 175 ms 17248 KB Output is correct
26 Correct 350 ms 71388 KB Output is correct
27 Correct 526 ms 56668 KB Output is correct
28 Correct 468 ms 56028 KB Output is correct
29 Correct 116 ms 11228 KB Output is correct
30 Correct 196 ms 16092 KB Output is correct
31 Correct 351 ms 26716 KB Output is correct
32 Correct 276 ms 43612 KB Output is correct
33 Correct 269 ms 43616 KB Output is correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 9 ms 640 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 6 ms 512 KB Output is correct
5 Correct 9 ms 696 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 6 ms 512 KB Output is correct
12 Correct 7 ms 640 KB Output is correct
13 Correct 9 ms 640 KB Output is correct
14 Correct 11 ms 908 KB Output is correct
15 Correct 1 ms 256 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 1 ms 256 KB Output is correct
18 Correct 1376 ms 19240 KB Output is correct
19 Correct 583 ms 4712 KB Output is correct
20 Correct 460 ms 3864 KB Output is correct
21 Correct 524 ms 4444 KB Output is correct
22 Correct 564 ms 4472 KB Output is correct
23 Correct 552 ms 4516 KB Output is correct
24 Correct 517 ms 4128 KB Output is correct
25 Correct 562 ms 4264 KB Output is correct
26 Correct 586 ms 4356 KB Output is correct
27 Correct 621 ms 16284 KB Output is correct
28 Correct 575 ms 12688 KB Output is correct
29 Correct 588 ms 15496 KB Output is correct
30 Correct 1164 ms 27152 KB Output is correct
31 Correct 6 ms 512 KB Output is correct
32 Correct 965 ms 17232 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 9 ms 640 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 6 ms 512 KB Output is correct
5 Correct 9 ms 696 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 6 ms 512 KB Output is correct
12 Correct 7 ms 640 KB Output is correct
13 Correct 9 ms 640 KB Output is correct
14 Correct 11 ms 908 KB Output is correct
15 Correct 1 ms 256 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 1 ms 256 KB Output is correct
18 Correct 1376 ms 19240 KB Output is correct
19 Correct 583 ms 4712 KB Output is correct
20 Correct 460 ms 3864 KB Output is correct
21 Correct 524 ms 4444 KB Output is correct
22 Correct 564 ms 4472 KB Output is correct
23 Correct 552 ms 4516 KB Output is correct
24 Correct 517 ms 4128 KB Output is correct
25 Correct 562 ms 4264 KB Output is correct
26 Correct 586 ms 4356 KB Output is correct
27 Correct 621 ms 16284 KB Output is correct
28 Correct 575 ms 12688 KB Output is correct
29 Correct 588 ms 15496 KB Output is correct
30 Correct 1164 ms 27152 KB Output is correct
31 Correct 6 ms 512 KB Output is correct
32 Correct 965 ms 17232 KB Output is correct
33 Correct 172 ms 17116 KB Output is correct
34 Correct 364 ms 71260 KB Output is correct
35 Correct 529 ms 56668 KB Output is correct
36 Correct 487 ms 55900 KB Output is correct
37 Correct 135 ms 12408 KB Output is correct
38 Correct 204 ms 15452 KB Output is correct
39 Correct 216 ms 18524 KB Output is correct
40 Correct 227 ms 18528 KB Output is correct
41 Correct 80 ms 6352 KB Output is correct
42 Correct 174 ms 14812 KB Output is correct
43 Correct 177 ms 17244 KB Output is correct
44 Correct 386 ms 71400 KB Output is correct
45 Correct 528 ms 56676 KB Output is correct
46 Correct 467 ms 55900 KB Output is correct
47 Correct 113 ms 11228 KB Output is correct
48 Correct 191 ms 16092 KB Output is correct
49 Correct 334 ms 26588 KB Output is correct
50 Correct 265 ms 43612 KB Output is correct
51 Correct 268 ms 43612 KB Output is correct
52 Correct 206 ms 18524 KB Output is correct
53 Correct 222 ms 18396 KB Output is correct
54 Correct 81 ms 6372 KB Output is correct
55 Correct 165 ms 14812 KB Output is correct
56 Correct 175 ms 17248 KB Output is correct
57 Correct 350 ms 71388 KB Output is correct
58 Correct 526 ms 56668 KB Output is correct
59 Correct 468 ms 56028 KB Output is correct
60 Correct 116 ms 11228 KB Output is correct
61 Correct 196 ms 16092 KB Output is correct
62 Correct 351 ms 26716 KB Output is correct
63 Correct 276 ms 43612 KB Output is correct
64 Correct 269 ms 43616 KB Output is correct
65 Correct 883 ms 18832 KB Output is correct
66 Correct 1039 ms 18780 KB Output is correct
67 Correct 508 ms 8436 KB Output is correct
68 Correct 663 ms 15304 KB Output is correct
69 Correct 450 ms 17556 KB Output is correct
70 Correct 954 ms 71836 KB Output is correct
71 Correct 1315 ms 57188 KB Output is correct
72 Correct 996 ms 56964 KB Output is correct
73 Correct 343 ms 11664 KB Output is correct
74 Correct 607 ms 16656 KB Output is correct
75 Correct 727 ms 27084 KB Output is correct
76 Correct 924 ms 44264 KB Output is correct
77 Correct 733 ms 44204 KB Output is correct
78 Correct 351 ms 10284 KB Output is correct
79 Correct 446 ms 18064 KB Output is correct
80 Correct 440 ms 18192 KB Output is correct
81 Correct 365 ms 15632 KB Output is correct
82 Correct 430 ms 15888 KB Output is correct
83 Correct 135 ms 9616 KB Output is correct
84 Correct 446 ms 18064 KB Output is correct
85 Correct 459 ms 18192 KB Output is correct
86 Correct 392 ms 15632 KB Output is correct
87 Correct 256 ms 16752 KB Output is correct
88 Correct 250 ms 18196 KB Output is correct
89 Correct 274 ms 18064 KB Output is correct
90 Correct 259 ms 15504 KB Output is correct
91 Correct 375 ms 15272 KB Output is correct