Submission #886558

# Submission time Handle Problem Language Result Execution time Memory
886558 2023-12-12T10:21:32 Z vjudge1 Towers (NOI22_towers) C++17
100 / 100
773 ms 129040 KB
#include <bits/stdc++.h>

using namespace std;

template<typename A, typename B>
string to_string(pair<A, B>);
string to_string(string S) {
  return '"' + S + '"';
}
string to_string(const char* c) {
  return to_string(string(c));
}
string to_string(bool b) {
  return (b ? "true" : "false");
}
template<size_t T>
string to_string(bitset<T> bs) {
  return bs.to_string();
}
string to_string(vector<bool> v) {
  string res = "{";
  for (int i = 0; i < int(v.size()); ++i) {
    if (int(res.size()) > 1) {
      res += ", ";
    }
    res += to_string(v[i]);
  }
  return res + "}";
}
template<typename T>
string to_string(T v) {
  string res = "{";
  for (auto e : v) {
    if (int(res.size()) > 1) {
      res += ", ";
    }
    res += to_string(e);
  }
  return res + "}";
}
template<typename A, typename B>
string to_string(pair<A, B> p) {
  return '(' + to_string(p.first) + ", " + to_string(p.second) + ')';
}
void debug_out() {
  cerr << endl;
}
template<typename H, typename... T>
void debug_out(H head, T... tail) {
  cerr << "  " << to_string(head);
  debug_out(tail...);
}

#ifdef DEBUG 
  #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) 
#else 
  #define debug(...) void(37)
#endif

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  int N;
  cin >> N;
  vector<int> X(N), Y(N);
  for (int i = 0; i < N; ++i) {
    cin >> X[i] >> Y[i];
    --X[i], --Y[i];
  }
  #ifdef LOCAL
    const int MAX = int(30);
  #else
    const int MAX = int(1e6);
  #endif
  vector<vector<int>> xs(MAX), ys(MAX);
  for (int i = 0; i < N; ++i) {
    xs[X[i]].push_back(i);
    ys[Y[i]].push_back(i);
  }
  vector<int> xid(N), yid(N);
  for (int i = 0; i < MAX; ++i) {
    sort(xs[i].begin(), xs[i].end(), [&](int x, int y) {  
      return Y[x] < Y[y];
    });
    sort(ys[i].begin(), ys[i].end(), [&](int x, int y) {
      return X[x] < X[y];
    });
    for (int j = 0; j < int(xs[i].size()); ++j) {
      xid[xs[i][j]] = j;
    }
    for (int j = 0; j < int(ys[i].size()); ++j) {
      yid[ys[i][j]] = j;
    }
  }
  vector<bool> top(N), bot(N);
  vector<int> min_row(MAX, -1);
  vector<int> max_row(MAX, -1);
  vector<int> rem;
  auto Add = [&](int i, bool type) {
    debug(i, type);
    if (type) {
      top[i] = true;
    } else {
      bot[i] = true;
    }
    int& mn = min_row[Y[i]];
    int& mx = max_row[Y[i]];
    if (mn == -1) {
      mn = mx = i;
    } else if (X[mn] > X[i]) {
      debug(mn, mx, X[mn], X[i]);
      if (mx != mn) rem.push_back(mn);
      mn = i;
    } else if (X[mx] < X[i]) {
      debug(mx, mn, X[mx], X[i]);
      if (mx != mn) rem.push_back(mx);
      mx = i;
    }
    if (mn != i && mx != i) {
      debug("!used", i);
      rem.push_back(i);
    }
  };
  for (int i = 0; i < MAX; ++i) {
    if (xs[i].empty()) continue;
    Add(xs[i][0], false);
    Add(xs[i].back(), true);
  }
  debug(top, bot, rem);
  for (int it = 0; it < int(rem.size()); ++it) {
    int i = rem[it];
    debug(i, bool(top[i]), bool(bot[i]));
    if (top[i] && bot[i]) {
      top[i] = bot[i] = false;
      continue;
    }
    if (top[i]) {
      top[i] = false;
      Add(xs[X[i]][xid[i] - 1], true);
    } else if (bot[i]) {
      bot[i] = false;
      Add(xs[X[i]][xid[i] + 1], false);
    }
  }
  for (int i = 0; i < N; ++i) {
    cout << (bot[i] || top[i]);
  }
  cout << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 19 ms 55132 KB Output is correct
2 Correct 19 ms 55176 KB Output is correct
3 Correct 19 ms 55132 KB Output is correct
4 Correct 20 ms 55136 KB Output is correct
5 Correct 18 ms 55132 KB Output is correct
6 Correct 18 ms 55132 KB Output is correct
7 Correct 18 ms 55132 KB Output is correct
8 Correct 22 ms 55196 KB Output is correct
9 Correct 20 ms 55132 KB Output is correct
10 Correct 21 ms 55204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 55132 KB Output is correct
2 Correct 19 ms 55176 KB Output is correct
3 Correct 19 ms 55132 KB Output is correct
4 Correct 20 ms 55136 KB Output is correct
5 Correct 18 ms 55132 KB Output is correct
6 Correct 18 ms 55132 KB Output is correct
7 Correct 18 ms 55132 KB Output is correct
8 Correct 22 ms 55196 KB Output is correct
9 Correct 20 ms 55132 KB Output is correct
10 Correct 21 ms 55204 KB Output is correct
11 Correct 19 ms 55120 KB Output is correct
12 Correct 19 ms 55128 KB Output is correct
13 Correct 23 ms 55132 KB Output is correct
14 Correct 23 ms 55128 KB Output is correct
15 Correct 19 ms 55132 KB Output is correct
16 Correct 21 ms 55132 KB Output is correct
17 Correct 20 ms 55132 KB Output is correct
18 Correct 20 ms 55132 KB Output is correct
19 Correct 19 ms 55128 KB Output is correct
20 Correct 20 ms 55112 KB Output is correct
21 Correct 19 ms 55132 KB Output is correct
22 Correct 21 ms 55244 KB Output is correct
23 Correct 23 ms 55136 KB Output is correct
24 Correct 22 ms 55132 KB Output is correct
25 Correct 19 ms 55128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 34 ms 58716 KB Output is correct
2 Correct 36 ms 59308 KB Output is correct
3 Correct 77 ms 68556 KB Output is correct
4 Correct 140 ms 80280 KB Output is correct
5 Correct 42 ms 60124 KB Output is correct
6 Correct 22 ms 56156 KB Output is correct
7 Correct 124 ms 77768 KB Output is correct
8 Correct 92 ms 72452 KB Output is correct
9 Correct 203 ms 89288 KB Output is correct
10 Correct 148 ms 82632 KB Output is correct
11 Correct 189 ms 89912 KB Output is correct
12 Correct 195 ms 89892 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 433 ms 123316 KB Output is correct
2 Correct 475 ms 122264 KB Output is correct
3 Correct 516 ms 122984 KB Output is correct
4 Correct 476 ms 122156 KB Output is correct
5 Correct 455 ms 123144 KB Output is correct
6 Correct 751 ms 128832 KB Output is correct
7 Correct 773 ms 128824 KB Output is correct
8 Correct 745 ms 128968 KB Output is correct
9 Correct 706 ms 128972 KB Output is correct
10 Correct 708 ms 129040 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 55132 KB Output is correct
2 Correct 19 ms 55176 KB Output is correct
3 Correct 19 ms 55132 KB Output is correct
4 Correct 20 ms 55136 KB Output is correct
5 Correct 18 ms 55132 KB Output is correct
6 Correct 18 ms 55132 KB Output is correct
7 Correct 18 ms 55132 KB Output is correct
8 Correct 22 ms 55196 KB Output is correct
9 Correct 20 ms 55132 KB Output is correct
10 Correct 21 ms 55204 KB Output is correct
11 Correct 19 ms 55120 KB Output is correct
12 Correct 19 ms 55128 KB Output is correct
13 Correct 23 ms 55132 KB Output is correct
14 Correct 23 ms 55128 KB Output is correct
15 Correct 19 ms 55132 KB Output is correct
16 Correct 21 ms 55132 KB Output is correct
17 Correct 20 ms 55132 KB Output is correct
18 Correct 20 ms 55132 KB Output is correct
19 Correct 19 ms 55128 KB Output is correct
20 Correct 20 ms 55112 KB Output is correct
21 Correct 19 ms 55132 KB Output is correct
22 Correct 21 ms 55244 KB Output is correct
23 Correct 23 ms 55136 KB Output is correct
24 Correct 22 ms 55132 KB Output is correct
25 Correct 19 ms 55128 KB Output is correct
26 Correct 22 ms 55644 KB Output is correct
27 Correct 23 ms 55640 KB Output is correct
28 Correct 20 ms 55388 KB Output is correct
29 Correct 20 ms 55388 KB Output is correct
30 Correct 21 ms 55388 KB Output is correct
31 Correct 20 ms 55388 KB Output is correct
32 Correct 21 ms 55388 KB Output is correct
33 Correct 24 ms 55388 KB Output is correct
34 Correct 21 ms 55384 KB Output is correct
35 Correct 21 ms 55388 KB Output is correct
36 Correct 20 ms 55420 KB Output is correct
37 Correct 20 ms 55496 KB Output is correct
38 Correct 20 ms 55384 KB Output is correct
39 Correct 21 ms 55388 KB Output is correct
40 Correct 20 ms 55388 KB Output is correct
41 Correct 20 ms 55332 KB Output is correct
42 Correct 20 ms 55344 KB Output is correct
43 Correct 20 ms 55388 KB Output is correct
44 Correct 20 ms 55388 KB Output is correct
45 Correct 20 ms 55388 KB Output is correct
46 Correct 20 ms 55384 KB Output is correct
47 Correct 21 ms 55500 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 55132 KB Output is correct
2 Correct 19 ms 55176 KB Output is correct
3 Correct 19 ms 55132 KB Output is correct
4 Correct 20 ms 55136 KB Output is correct
5 Correct 18 ms 55132 KB Output is correct
6 Correct 18 ms 55132 KB Output is correct
7 Correct 18 ms 55132 KB Output is correct
8 Correct 22 ms 55196 KB Output is correct
9 Correct 20 ms 55132 KB Output is correct
10 Correct 21 ms 55204 KB Output is correct
11 Correct 19 ms 55120 KB Output is correct
12 Correct 19 ms 55128 KB Output is correct
13 Correct 23 ms 55132 KB Output is correct
14 Correct 23 ms 55128 KB Output is correct
15 Correct 19 ms 55132 KB Output is correct
16 Correct 21 ms 55132 KB Output is correct
17 Correct 20 ms 55132 KB Output is correct
18 Correct 20 ms 55132 KB Output is correct
19 Correct 19 ms 55128 KB Output is correct
20 Correct 20 ms 55112 KB Output is correct
21 Correct 19 ms 55132 KB Output is correct
22 Correct 21 ms 55244 KB Output is correct
23 Correct 23 ms 55136 KB Output is correct
24 Correct 22 ms 55132 KB Output is correct
25 Correct 19 ms 55128 KB Output is correct
26 Correct 22 ms 55644 KB Output is correct
27 Correct 23 ms 55640 KB Output is correct
28 Correct 20 ms 55388 KB Output is correct
29 Correct 20 ms 55388 KB Output is correct
30 Correct 21 ms 55388 KB Output is correct
31 Correct 20 ms 55388 KB Output is correct
32 Correct 21 ms 55388 KB Output is correct
33 Correct 24 ms 55388 KB Output is correct
34 Correct 21 ms 55384 KB Output is correct
35 Correct 21 ms 55388 KB Output is correct
36 Correct 20 ms 55420 KB Output is correct
37 Correct 20 ms 55496 KB Output is correct
38 Correct 20 ms 55384 KB Output is correct
39 Correct 21 ms 55388 KB Output is correct
40 Correct 20 ms 55388 KB Output is correct
41 Correct 20 ms 55332 KB Output is correct
42 Correct 20 ms 55344 KB Output is correct
43 Correct 20 ms 55388 KB Output is correct
44 Correct 20 ms 55388 KB Output is correct
45 Correct 20 ms 55388 KB Output is correct
46 Correct 20 ms 55384 KB Output is correct
47 Correct 21 ms 55500 KB Output is correct
48 Correct 75 ms 64148 KB Output is correct
49 Correct 78 ms 64232 KB Output is correct
50 Correct 91 ms 62212 KB Output is correct
51 Correct 95 ms 62292 KB Output is correct
52 Correct 54 ms 60000 KB Output is correct
53 Correct 53 ms 60092 KB Output is correct
54 Correct 53 ms 59984 KB Output is correct
55 Correct 48 ms 59984 KB Output is correct
56 Correct 50 ms 60200 KB Output is correct
57 Correct 48 ms 59984 KB Output is correct
58 Correct 53 ms 60108 KB Output is correct
59 Correct 50 ms 60124 KB Output is correct
60 Correct 48 ms 60048 KB Output is correct
61 Correct 46 ms 59988 KB Output is correct
62 Correct 47 ms 60020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 55132 KB Output is correct
2 Correct 19 ms 55176 KB Output is correct
3 Correct 19 ms 55132 KB Output is correct
4 Correct 20 ms 55136 KB Output is correct
5 Correct 18 ms 55132 KB Output is correct
6 Correct 18 ms 55132 KB Output is correct
7 Correct 18 ms 55132 KB Output is correct
8 Correct 22 ms 55196 KB Output is correct
9 Correct 20 ms 55132 KB Output is correct
10 Correct 21 ms 55204 KB Output is correct
11 Correct 19 ms 55120 KB Output is correct
12 Correct 19 ms 55128 KB Output is correct
13 Correct 23 ms 55132 KB Output is correct
14 Correct 23 ms 55128 KB Output is correct
15 Correct 19 ms 55132 KB Output is correct
16 Correct 21 ms 55132 KB Output is correct
17 Correct 20 ms 55132 KB Output is correct
18 Correct 20 ms 55132 KB Output is correct
19 Correct 19 ms 55128 KB Output is correct
20 Correct 20 ms 55112 KB Output is correct
21 Correct 19 ms 55132 KB Output is correct
22 Correct 21 ms 55244 KB Output is correct
23 Correct 23 ms 55136 KB Output is correct
24 Correct 22 ms 55132 KB Output is correct
25 Correct 19 ms 55128 KB Output is correct
26 Correct 34 ms 58716 KB Output is correct
27 Correct 36 ms 59308 KB Output is correct
28 Correct 77 ms 68556 KB Output is correct
29 Correct 140 ms 80280 KB Output is correct
30 Correct 42 ms 60124 KB Output is correct
31 Correct 22 ms 56156 KB Output is correct
32 Correct 124 ms 77768 KB Output is correct
33 Correct 92 ms 72452 KB Output is correct
34 Correct 203 ms 89288 KB Output is correct
35 Correct 148 ms 82632 KB Output is correct
36 Correct 189 ms 89912 KB Output is correct
37 Correct 195 ms 89892 KB Output is correct
38 Correct 433 ms 123316 KB Output is correct
39 Correct 475 ms 122264 KB Output is correct
40 Correct 516 ms 122984 KB Output is correct
41 Correct 476 ms 122156 KB Output is correct
42 Correct 455 ms 123144 KB Output is correct
43 Correct 751 ms 128832 KB Output is correct
44 Correct 773 ms 128824 KB Output is correct
45 Correct 745 ms 128968 KB Output is correct
46 Correct 706 ms 128972 KB Output is correct
47 Correct 708 ms 129040 KB Output is correct
48 Correct 22 ms 55644 KB Output is correct
49 Correct 23 ms 55640 KB Output is correct
50 Correct 20 ms 55388 KB Output is correct
51 Correct 20 ms 55388 KB Output is correct
52 Correct 21 ms 55388 KB Output is correct
53 Correct 20 ms 55388 KB Output is correct
54 Correct 21 ms 55388 KB Output is correct
55 Correct 24 ms 55388 KB Output is correct
56 Correct 21 ms 55384 KB Output is correct
57 Correct 21 ms 55388 KB Output is correct
58 Correct 20 ms 55420 KB Output is correct
59 Correct 20 ms 55496 KB Output is correct
60 Correct 20 ms 55384 KB Output is correct
61 Correct 21 ms 55388 KB Output is correct
62 Correct 20 ms 55388 KB Output is correct
63 Correct 20 ms 55332 KB Output is correct
64 Correct 20 ms 55344 KB Output is correct
65 Correct 20 ms 55388 KB Output is correct
66 Correct 20 ms 55388 KB Output is correct
67 Correct 20 ms 55388 KB Output is correct
68 Correct 20 ms 55384 KB Output is correct
69 Correct 21 ms 55500 KB Output is correct
70 Correct 75 ms 64148 KB Output is correct
71 Correct 78 ms 64232 KB Output is correct
72 Correct 91 ms 62212 KB Output is correct
73 Correct 95 ms 62292 KB Output is correct
74 Correct 54 ms 60000 KB Output is correct
75 Correct 53 ms 60092 KB Output is correct
76 Correct 53 ms 59984 KB Output is correct
77 Correct 48 ms 59984 KB Output is correct
78 Correct 50 ms 60200 KB Output is correct
79 Correct 48 ms 59984 KB Output is correct
80 Correct 53 ms 60108 KB Output is correct
81 Correct 50 ms 60124 KB Output is correct
82 Correct 48 ms 60048 KB Output is correct
83 Correct 46 ms 59988 KB Output is correct
84 Correct 47 ms 60020 KB Output is correct
85 Correct 18 ms 55132 KB Output is correct
86 Correct 19 ms 55132 KB Output is correct
87 Correct 19 ms 55132 KB Output is correct
88 Correct 672 ms 125576 KB Output is correct
89 Correct 607 ms 125988 KB Output is correct
90 Correct 642 ms 125648 KB Output is correct
91 Correct 511 ms 102248 KB Output is correct
92 Correct 517 ms 102260 KB Output is correct
93 Correct 506 ms 102348 KB Output is correct
94 Correct 454 ms 101348 KB Output is correct
95 Correct 430 ms 101564 KB Output is correct
96 Correct 462 ms 101536 KB Output is correct
97 Correct 395 ms 101572 KB Output is correct
98 Correct 424 ms 101588 KB Output is correct
99 Correct 426 ms 101568 KB Output is correct
100 Correct 333 ms 98756 KB Output is correct
101 Correct 347 ms 98756 KB Output is correct
102 Correct 329 ms 98708 KB Output is correct
103 Correct 377 ms 98504 KB Output is correct
104 Correct 315 ms 98616 KB Output is correct
105 Correct 321 ms 98632 KB Output is correct
106 Correct 340 ms 96216 KB Output is correct
107 Correct 321 ms 96028 KB Output is correct