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Submission #1037721

# Submission time Handle Problem Language Result Execution time Memory
1037721 2024-07-29T07:23:40 Z MilosMilutinovic Sprinklers (CEOI24_sprinklers) C++14
100 / 100
 127 ms 4144 KB 
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  vector<int> s(n);
  for (int i = 0; i < n; i++) {
    cin >> s[i];
  }
  vector<int> f(m);
  for (int i = 0; i < m; i++) {
    cin >> f[i];
  }
  auto Check = [&](int k) {
    vector<int> dp(n + 1, -1);
    for (int i = 0; i < n; i++) {
      if (dp[i] == m - 1) {
        break;
      }
      if (i + 1 < n) {
        // take anything
        dp[i + 1] = max(dp[i + 1], dp[i]);
      }
      if (f[dp[i] + 1] >= s[i] - k && f[dp[i] + 1] <= s[i]) {
        // L
        int from = (int) (lower_bound(f.begin(), f.end(), s[i] - k) - f.begin());
        int to = (int) (lower_bound(f.begin(), f.end(), s[i] + 1) - f.begin()) - 1;
        dp[i + 1] = max(dp[i + 1], to);
      }
      if (f[dp[i] + 1] >= s[i] && f[dp[i] + 1] <= s[i] + k) {
        // R
        int from = (int) (lower_bound(f.begin(), f.end(), s[i]) - f.begin());
        int to = (int) (lower_bound(f.begin(), f.end(), s[i] + k + 1) - f.begin()) - 1;
        dp[i + 1] = max(dp[i + 1], to);
      }
      if (i + 1 < n && f[dp[i] + 1] >= s[i + 1] - k && f[dp[i] + 1] <= s[i + 1]) {
        // RL
        int from = (int) (lower_bound(f.begin(), f.end(), s[i + 1] - k) - f.begin());
        int to = (int) (lower_bound(f.begin(), f.end(), s[i + 1] + 1) - f.begin()) - 1;
        if (to == m - 1) {
          dp[i + 2] = max(dp[i + 2], m - 1);
          continue;
        }
        if (f[to + 1] >= s[i] && f[to + 1] <= s[i] + k) {
          to = (int) (lower_bound(f.begin(), f.end(), s[i] + k + 1) - f.begin()) - 1;
          dp[i + 2] = max(dp[i + 2], to);
        }
      }
    }
    return *max_element(dp.begin(), dp.end()) == m - 1;
  };
  int low = 0, high = 1e9, k = -1;
  while (low <= high) {
    int mid = (low + high) >> 1;
    if (Check(mid)) {
      k = mid;
      high = mid - 1;
    } else {
      low = mid + 1;
    }
  }
  if (k == -1) {
    cout << k << '\n';
    return 0;
  }
  vector<int> dp(n + 1, -1);
  vector<int> d(n + 1);
  auto Update = [&](int p, int v, int t) {
    if (dp[p] < v) {
      dp[p] = v;
      d[p] = t;
    }
  };
  for (int i = 0; i < n; i++) {
    if (dp[i] == m - 1) {
      Update(i + 1, dp[i], 0);
      continue;
    }
    if (i + 1 < n) {
      // take anything
      Update(i + 1, dp[i], 0);
    }
    if (f[dp[i] + 1] >= s[i] - k && f[dp[i] + 1] <= s[i]) {
      // L
      int from = (int) (lower_bound(f.begin(), f.end(), s[i] - k) - f.begin());
      int to = (int) (lower_bound(f.begin(), f.end(), s[i] + 1) - f.begin()) - 1;
      Update(i + 1, to, 0);
    }
    if (f[dp[i] + 1] >= s[i] && f[dp[i] + 1] <= s[i] + k) {
      // R
      int from = (int) (lower_bound(f.begin(), f.end(), s[i]) - f.begin());
      int to = (int) (lower_bound(f.begin(), f.end(), s[i] + k + 1) - f.begin()) - 1;
      Update(i + 1, to, 1);
    }
    if (i + 1 < n && f[dp[i] + 1] >= s[i + 1] - k && f[dp[i] + 1] <= s[i + 1]) {
      // RL
      int from = (int) (lower_bound(f.begin(), f.end(), s[i + 1] - k) - f.begin());
      int to = (int) (lower_bound(f.begin(), f.end(), s[i + 1] + 1) - f.begin()) - 1;
      if (to == m - 1) {
        Update(i + 2, m - 1, 2);
        continue;
      }
      if (f[to + 1] >= s[i] && f[to + 1] <= s[i] + k) {
        to = (int) (lower_bound(f.begin(), f.end(), s[i] + k + 1) - f.begin()) - 1;
        Update(i + 2, to, 2);
      }
    }
  }
  vector<char> dir(n);
  int p = n;
  while (p > 0) {
    if (d[p] == 0) {
      --p;
      dir[p] = 'L';
    } else if (d[p] == 1) {
      --p;
      dir[p] = 'R';
    } else {
      --p;
      dir[p] = 'L';
      --p;
      dir[p] = 'R';
    }
  }
  cout << k << '\n';
  for (int i = 0; i < n; i++) {
    cout << dir[i];
  }
  return 0;
}

Compilation message

Main.cpp: In lambda function:
Main.cpp:30:13: warning: unused variable 'from' [-Wunused-variable]
   30 |         int from = (int) (lower_bound(f.begin(), f.end(), s[i] - k) - f.begin());
      |             ^~~~
Main.cpp:36:13: warning: unused variable 'from' [-Wunused-variable]
   36 |         int from = (int) (lower_bound(f.begin(), f.end(), s[i]) - f.begin());
      |             ^~~~
Main.cpp:42:13: warning: unused variable 'from' [-Wunused-variable]
   42 |         int from = (int) (lower_bound(f.begin(), f.end(), s[i + 1] - k) - f.begin());
      |             ^~~~
Main.cpp: In function 'int main()':
Main.cpp:89:11: warning: unused variable 'from' [-Wunused-variable]
   89 |       int from = (int) (lower_bound(f.begin(), f.end(), s[i] - k) - f.begin());
      |           ^~~~
Main.cpp:95:11: warning: unused variable 'from' [-Wunused-variable]
   95 |       int from = (int) (lower_bound(f.begin(), f.end(), s[i]) - f.begin());
      |           ^~~~
Main.cpp:101:11: warning: unused variable 'from' [-Wunused-variable]
  101 |       int from = (int) (lower_bound(f.begin(), f.end(), s[i + 1] - k) - f.begin());
      |           ^~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 0 ms 348 KB Correct

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 10 ms 1416 KB Correct
3 Correct 1 ms 348 KB Correct
4 Correct 10 ms 1740 KB Correct
5 Correct 7 ms 1628 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 2 ms 604 KB Correct
9 Correct 0 ms 456 KB Correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 8 ms 1628 KB Correct
3 Correct 5 ms 600 KB Correct
4 Correct 54 ms 3944 KB Correct
5 Correct 57 ms 4040 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 344 KB Correct
8 Correct 20 ms 4052 KB Correct
9 Correct 21 ms 4040 KB Correct
10 Correct 23 ms 4040 KB Correct
11 Correct 18 ms 2768 KB Correct
12 Correct 33 ms 2492 KB Correct
13 Correct 39 ms 3016 KB Correct
14 Correct 45 ms 3292 KB Correct
15 Correct 57 ms 3396 KB Correct
16 Correct 42 ms 2992 KB Correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 0 ms 348 KB Correct
3 Correct 0 ms 348 KB Correct
4 Correct 0 ms 456 KB Correct
5 Correct 0 ms 348 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 0 ms 348 KB Correct
9 Correct 0 ms 348 KB Correct
10 Correct 0 ms 344 KB Correct
11 Correct 0 ms 452 KB Correct
12 Correct 0 ms 348 KB Correct
13 Correct 0 ms 348 KB Correct
14 Correct 1 ms 348 KB Correct
15 Correct 0 ms 348 KB Correct
16 Correct 0 ms 348 KB Correct
17 Correct 0 ms 348 KB Correct
18 Correct 1 ms 344 KB Correct
19 Correct 0 ms 348 KB Correct
20 Correct 0 ms 348 KB Correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 26 ms 1996 KB Correct
3 Correct 108 ms 4068 KB Correct
4 Correct 106 ms 4080 KB Correct
5 Correct 109 ms 4040 KB Correct
6 Correct 100 ms 4144 KB Correct
7 Correct 108 ms 4064 KB Correct
8 Correct 103 ms 4044 KB Correct
9 Correct 106 ms 3904 KB Correct
10 Correct 118 ms 4068 KB Correct
11 Correct 127 ms 4024 KB Correct
12 Correct 0 ms 348 KB Correct
13 Correct 1 ms 348 KB Correct
14 Correct 22 ms 2740 KB Correct
15 Correct 20 ms 2752 KB Correct
16 Correct 20 ms 2772 KB Correct
17 Correct 23 ms 2772 KB Correct
18 Correct 21 ms 2768 KB Correct
19 Correct 24 ms 3028 KB Correct
20 Correct 83 ms 3644 KB Correct
21 Correct 84 ms 3528 KB Correct
22 Correct 68 ms 3784 KB Correct
23 Correct 70 ms 3528 KB Correct
24 Correct 54 ms 3276 KB Correct
25 Correct 60 ms 3128 KB Correct
26 Correct 31 ms 2328 KB Correct
27 Correct 40 ms 1548 KB Correct
28 Correct 53 ms 3092 KB Correct
29 Correct 46 ms 3012 KB Correct
30 Correct 56 ms 3060 KB Correct
31 Correct 70 ms 3096 KB Correct

Subtask #5
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Correct
2 Correct 0 ms 348 KB Correct
3 Correct 10 ms 1416 KB Correct
4 Correct 1 ms 348 KB Correct
5 Correct 10 ms 1740 KB Correct
6 Correct 7 ms 1628 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 0 ms 348 KB Correct
9 Correct 2 ms 604 KB Correct
10 Correct 0 ms 456 KB Correct
11 Correct 8 ms 1628 KB Correct
12 Correct 5 ms 600 KB Correct
13 Correct 54 ms 3944 KB Correct
14 Correct 57 ms 4040 KB Correct
15 Correct 0 ms 348 KB Correct
16 Correct 0 ms 344 KB Correct
17 Correct 20 ms 4052 KB Correct
18 Correct 21 ms 4040 KB Correct
19 Correct 23 ms 4040 KB Correct
20 Correct 18 ms 2768 KB Correct
21 Correct 33 ms 2492 KB Correct
22 Correct 39 ms 3016 KB Correct
23 Correct 45 ms 3292 KB Correct
24 Correct 57 ms 3396 KB Correct
25 Correct 42 ms 2992 KB Correct
26 Correct 0 ms 348 KB Correct
27 Correct 0 ms 456 KB Correct
28 Correct 0 ms 348 KB Correct
29 Correct 0 ms 348 KB Correct
30 Correct 0 ms 348 KB Correct
31 Correct 0 ms 348 KB Correct
32 Correct 0 ms 348 KB Correct
33 Correct 0 ms 344 KB Correct
34 Correct 0 ms 452 KB Correct
35 Correct 0 ms 348 KB Correct
36 Correct 0 ms 348 KB Correct
37 Correct 1 ms 348 KB Correct
38 Correct 0 ms 348 KB Correct
39 Correct 0 ms 348 KB Correct
40 Correct 0 ms 348 KB Correct
41 Correct 1 ms 344 KB Correct
42 Correct 0 ms 348 KB Correct
43 Correct 0 ms 348 KB Correct
44 Correct 26 ms 1996 KB Correct
45 Correct 108 ms 4068 KB Correct
46 Correct 106 ms 4080 KB Correct
47 Correct 109 ms 4040 KB Correct
48 Correct 100 ms 4144 KB Correct
49 Correct 108 ms 4064 KB Correct
50 Correct 103 ms 4044 KB Correct
51 Correct 106 ms 3904 KB Correct
52 Correct 118 ms 4068 KB Correct
53 Correct 127 ms 4024 KB Correct
54 Correct 0 ms 348 KB Correct
55 Correct 1 ms 348 KB Correct
56 Correct 22 ms 2740 KB Correct
57 Correct 20 ms 2752 KB Correct
58 Correct 20 ms 2772 KB Correct
59 Correct 23 ms 2772 KB Correct
60 Correct 21 ms 2768 KB Correct
61 Correct 24 ms 3028 KB Correct
62 Correct 83 ms 3644 KB Correct
63 Correct 84 ms 3528 KB Correct
64 Correct 68 ms 3784 KB Correct
65 Correct 70 ms 3528 KB Correct
66 Correct 54 ms 3276 KB Correct
67 Correct 60 ms 3128 KB Correct
68 Correct 31 ms 2328 KB Correct
69 Correct 40 ms 1548 KB Correct
70 Correct 53 ms 3092 KB Correct
71 Correct 46 ms 3012 KB Correct
72 Correct 56 ms 3060 KB Correct
73 Correct 70 ms 3096 KB Correct
74 Correct 10 ms 1628 KB Correct
75 Correct 82 ms 4048 KB Correct
76 Correct 95 ms 4040 KB Correct
77 Correct 0 ms 348 KB Correct
78 Correct 22 ms 4040 KB Correct
79 Correct 23 ms 4040 KB Correct
80 Correct 22 ms 4040 KB Correct
81 Correct 17 ms 2740 KB Correct
82 Correct 18 ms 2768 KB Correct
83 Correct 18 ms 2772 KB Correct
84 Correct 11 ms 1116 KB Correct
85 Correct 59 ms 3300 KB Correct
86 Correct 76 ms 3272 KB Correct
87 Correct 70 ms 3096 KB Correct
88 Correct 9 ms 1628 KB Correct
89 Correct 7 ms 1624 KB Correct