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Submission #1023268

# Submission time Handle Problem Language Result Execution time Memory
1023268 2024-07-14T14:27:36 Z avighna Visiting Singapore (NOI20_visitingsingapore) C++17
100 / 100
 346 ms 848 KB 
#include <bits/stdc++.h>

const int N = 5001;

int dp[N][2][2][2];

int main() {
  std::ios_base::sync_with_stdio(false);
  std::cin.tie(nullptr);

  int k, n, m, a, b;
  std::cin >> k >> n >> m >> a >> b;
  std::vector<int> v(k), s(n), t(m);
  for (auto &i : v) {
    std::cin >> i;
  }
  for (auto &i : s) {
    std::cin >> i;
  }
  for (auto &i : t) {
    std::cin >> i;
  }

  // dp[i][j][b1][b2] = the maximum happiness when we start from index i in t
  // and j in s. b1 is 1 if we picked the last element in t, else 0. same for
  // b2.

  int ans = a + m * b;
  for (int j = n; j >= 0; --j) {
    for (int i = m; i >= 0; --i) {
      for (int b1 = 0; b1 <= 1; ++b1) {
        for (int b2 = 0; b2 <= 1; ++b2) {
          if (i == m and j == n) {
            continue;
          }
          if (i == m) {
            continue;
          }
          if (j == n) {
            dp[i][j % 2][b1][b2] = b1 * a + (m - i) * b;
            continue;
          }

          dp[i][j % 2][b1][b2] =
              std::max(dp[i + 1][j % 2][0][b2] + b1 * a + b,
                       dp[i][(j + 1) % 2][b1][0] + b2 * a + b);
          if (t[i] == s[j]) {
            dp[i][j % 2][b1][b2] =
                std::max(dp[i][j % 2][b1][b2],
                         v[t[i] - 1] + dp[i + 1][(j + 1) % 2][1][1]);
          }
          if (i == 0 and j != n and b1 == 1 and b2 == 1) {
            ans = std::max(ans, dp[0][j % 2][1][1]);
          }
        }
      }
    }
  }
  std::cout << ans << "\n";
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 11 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 7 ms 492 KB Output is correct
10 Correct 19 ms 344 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 4 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 9 ms 348 KB Output is correct
7 Correct 6 ms 348 KB Output is correct
8 Correct 11 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 13 ms 504 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 348 KB Output is correct
2 Correct 11 ms 344 KB Output is correct
3 Correct 91 ms 348 KB Output is correct
4 Correct 224 ms 604 KB Output is correct
5 Correct 90 ms 600 KB Output is correct
6 Correct 93 ms 604 KB Output is correct
7 Correct 176 ms 600 KB Output is correct
8 Correct 65 ms 348 KB Output is correct
9 Correct 114 ms 600 KB Output is correct
10 Correct 274 ms 600 KB Output is correct
11 Correct 278 ms 600 KB Output is correct
12 Correct 320 ms 672 KB Output is correct
13 Correct 275 ms 600 KB Output is correct
14 Correct 346 ms 600 KB Output is correct
15 Correct 328 ms 648 KB Output is correct

Subtask #4
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 348 KB Output is correct
2 Correct 11 ms 344 KB Output is correct
3 Correct 91 ms 348 KB Output is correct
4 Correct 224 ms 604 KB Output is correct
5 Correct 90 ms 600 KB Output is correct
6 Correct 93 ms 604 KB Output is correct
7 Correct 176 ms 600 KB Output is correct
8 Correct 65 ms 348 KB Output is correct
9 Correct 114 ms 600 KB Output is correct
10 Correct 274 ms 600 KB Output is correct
11 Correct 278 ms 600 KB Output is correct
12 Correct 320 ms 672 KB Output is correct
13 Correct 275 ms 600 KB Output is correct
14 Correct 346 ms 600 KB Output is correct
15 Correct 328 ms 648 KB Output is correct
16 Correct 151 ms 600 KB Output is correct
17 Correct 171 ms 604 KB Output is correct
18 Correct 159 ms 604 KB Output is correct
19 Correct 42 ms 348 KB Output is correct
20 Correct 110 ms 560 KB Output is correct
21 Correct 7 ms 348 KB Output is correct
22 Correct 35 ms 604 KB Output is correct
23 Correct 69 ms 604 KB Output is correct
24 Correct 25 ms 348 KB Output is correct
25 Correct 281 ms 668 KB Output is correct
26 Correct 291 ms 600 KB Output is correct
27 Correct 299 ms 680 KB Output is correct
28 Correct 287 ms 600 KB Output is correct
29 Correct 324 ms 848 KB Output is correct
30 Correct 320 ms 648 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 348 KB Output is correct
2 Correct 11 ms 344 KB Output is correct
3 Correct 91 ms 348 KB Output is correct
4 Correct 224 ms 604 KB Output is correct
5 Correct 90 ms 600 KB Output is correct
6 Correct 93 ms 604 KB Output is correct
7 Correct 176 ms 600 KB Output is correct
8 Correct 65 ms 348 KB Output is correct
9 Correct 114 ms 600 KB Output is correct
10 Correct 274 ms 600 KB Output is correct
11 Correct 278 ms 600 KB Output is correct
12 Correct 320 ms 672 KB Output is correct
13 Correct 275 ms 600 KB Output is correct
14 Correct 346 ms 600 KB Output is correct
15 Correct 328 ms 648 KB Output is correct
16 Correct 227 ms 600 KB Output is correct
17 Correct 117 ms 604 KB Output is correct
18 Correct 33 ms 344 KB Output is correct
19 Correct 9 ms 348 KB Output is correct
20 Correct 4 ms 348 KB Output is correct
21 Correct 7 ms 604 KB Output is correct
22 Correct 105 ms 604 KB Output is correct
23 Correct 20 ms 344 KB Output is correct
24 Correct 194 ms 600 KB Output is correct
25 Correct 278 ms 600 KB Output is correct
26 Correct 344 ms 680 KB Output is correct
27 Correct 278 ms 604 KB Output is correct
28 Correct 269 ms 600 KB Output is correct
29 Correct 334 ms 644 KB Output is correct
30 Correct 317 ms 600 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct

Subtask #7
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 11 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 7 ms 492 KB Output is correct
10 Correct 19 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 4 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 9 ms 348 KB Output is correct
17 Correct 6 ms 348 KB Output is correct
18 Correct 11 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 13 ms 504 KB Output is correct
21 Correct 27 ms 348 KB Output is correct
22 Correct 11 ms 344 KB Output is correct
23 Correct 91 ms 348 KB Output is correct
24 Correct 224 ms 604 KB Output is correct
25 Correct 90 ms 600 KB Output is correct
26 Correct 93 ms 604 KB Output is correct
27 Correct 176 ms 600 KB Output is correct
28 Correct 65 ms 348 KB Output is correct
29 Correct 114 ms 600 KB Output is correct
30 Correct 274 ms 600 KB Output is correct
31 Correct 278 ms 600 KB Output is correct
32 Correct 320 ms 672 KB Output is correct
33 Correct 275 ms 600 KB Output is correct
34 Correct 346 ms 600 KB Output is correct
35 Correct 328 ms 648 KB Output is correct
36 Correct 151 ms 600 KB Output is correct
37 Correct 171 ms 604 KB Output is correct
38 Correct 159 ms 604 KB Output is correct
39 Correct 42 ms 348 KB Output is correct
40 Correct 110 ms 560 KB Output is correct
41 Correct 7 ms 348 KB Output is correct
42 Correct 35 ms 604 KB Output is correct
43 Correct 69 ms 604 KB Output is correct
44 Correct 25 ms 348 KB Output is correct
45 Correct 281 ms 668 KB Output is correct
46 Correct 291 ms 600 KB Output is correct
47 Correct 299 ms 680 KB Output is correct
48 Correct 287 ms 600 KB Output is correct
49 Correct 324 ms 848 KB Output is correct
50 Correct 320 ms 648 KB Output is correct
51 Correct 227 ms 600 KB Output is correct
52 Correct 117 ms 604 KB Output is correct
53 Correct 33 ms 344 KB Output is correct
54 Correct 9 ms 348 KB Output is correct
55 Correct 4 ms 348 KB Output is correct
56 Correct 7 ms 604 KB Output is correct
57 Correct 105 ms 604 KB Output is correct
58 Correct 20 ms 344 KB Output is correct
59 Correct 194 ms 600 KB Output is correct
60 Correct 278 ms 600 KB Output is correct
61 Correct 344 ms 680 KB Output is correct
62 Correct 278 ms 604 KB Output is correct
63 Correct 269 ms 600 KB Output is correct
64 Correct 334 ms 644 KB Output is correct
65 Correct 317 ms 600 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 0 ms 348 KB Output is correct
68 Correct 1 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 1 ms 344 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 1 ms 344 KB Output is correct
76 Correct 1 ms 360 KB Output is correct
77 Correct 1 ms 348 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 0 ms 348 KB Output is correct
81 Correct 227 ms 640 KB Output is correct
82 Correct 51 ms 528 KB Output is correct
83 Correct 96 ms 600 KB Output is correct
84 Correct 51 ms 576 KB Output is correct
85 Correct 92 ms 344 KB Output is correct
86 Correct 74 ms 540 KB Output is correct
87 Correct 13 ms 344 KB Output is correct
88 Correct 10 ms 344 KB Output is correct
89 Correct 30 ms 348 KB Output is correct
90 Correct 304 ms 600 KB Output is correct
91 Correct 288 ms 604 KB Output is correct
92 Correct 304 ms 664 KB Output is correct
93 Correct 277 ms 604 KB Output is correct
94 Correct 277 ms 604 KB Output is correct
95 Correct 270 ms 600 KB Output is correct
96 Correct 288 ms 604 KB Output is correct
97 Correct 289 ms 600 KB Output is correct
98 Correct 330 ms 604 KB Output is correct
99 Correct 328 ms 600 KB Output is correct
100 Correct 332 ms 604 KB Output is correct