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Submission #259724

# Submission time Handle Problem Language Result Execution time Memory
259724 2020-08-08T12:10:17 Z IOrtroiii Visiting Singapore (NOI20_visitingsingapore) C++14
100 / 100
 805 ms 640 KB 
#include <bits/stdc++.h>

using namespace std;

using dp_type = array<array<int, 2>, 2>;
const int INF = 1e9;
const dp_type WORST = dp_type{array<int, 2>{-INF, -INF}, array<int, 2>{-INF, -INF}};

void mxm(int &x, int y) {
   if (x < y) x = y;
}

int main() {
   ios_base::sync_with_stdio(false); cin.tie(nullptr);
   int K, N, M, A, B; cin >> K >> N >> M >> A >> B;
   vector<int> V(K), S(N), T(M);
   for (int i = 0; i < K; ++i) cin >> V[i];
   for (int i = 0; i < N; ++i) cin >> S[i], --S[i];
   for (int i = 0; i < M; ++i) cin >> T[i], --T[i];
   int ans = A + B*M;
   vector<dp_type> dp(M + 1, WORST);
   for (int i = 0; i <= N; ++i) {
      vector<dp_type> ndp(M + 1, WORST);
      for (int j = 0; j <= M; ++j) {
         // start
         if (i < N && j < M && S[i] == T[j]) mxm(ndp[j + 1][1][1], V[S[i]] + (j ? A : 0) + j * B);
         for (int ld = 0; ld < 2; ++ld) {
            for (int le = 0; le < 2; ++le) {
               if (dp[j][ld][le] == -INF) continue;
               mxm(ans, dp[j][ld][le] + (M - j ? A : 0) + (M - j) * B);
               // ignore day
               if (i < N) mxm(ndp[j][0][le], dp[j][ld][le] + B + (ld ? A : 0));
               // ignore event
               if (j < M) mxm(dp[j + 1][ld][0], dp[j][ld][le] + B + (le ? A : 0));
               // take
               if (i < N && j < M && S[i] == T[j]) {
                  mxm(ndp[j + 1][1][1], dp[j][ld][le] + V[S[i]]);
               }
            }
         }
      }
      if (i < N) dp = move(ndp);
   }
   cout << ans << '\n';
   return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 27 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 8 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 16 ms 384 KB Output is correct
10 Correct 33 ms 384 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 8 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 3 ms 324 KB Output is correct
6 Correct 16 ms 384 KB Output is correct
7 Correct 18 ms 384 KB Output is correct
8 Correct 23 ms 384 KB Output is correct
9 Correct 3 ms 384 KB Output is correct
10 Correct 32 ms 384 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 384 KB Output is correct
2 Correct 21 ms 384 KB Output is correct
3 Correct 168 ms 384 KB Output is correct
4 Correct 374 ms 512 KB Output is correct
5 Correct 137 ms 632 KB Output is correct
6 Correct 169 ms 632 KB Output is correct
7 Correct 294 ms 512 KB Output is correct
8 Correct 94 ms 504 KB Output is correct
9 Correct 193 ms 556 KB Output is correct
10 Correct 464 ms 616 KB Output is correct
11 Correct 468 ms 512 KB Output is correct
12 Correct 474 ms 552 KB Output is correct
13 Correct 273 ms 604 KB Output is correct
14 Correct 729 ms 532 KB Output is correct
15 Correct 728 ms 640 KB Output is correct

Subtask #4
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 384 KB Output is correct
2 Correct 21 ms 384 KB Output is correct
3 Correct 168 ms 384 KB Output is correct
4 Correct 374 ms 512 KB Output is correct
5 Correct 137 ms 632 KB Output is correct
6 Correct 169 ms 632 KB Output is correct
7 Correct 294 ms 512 KB Output is correct
8 Correct 94 ms 504 KB Output is correct
9 Correct 193 ms 556 KB Output is correct
10 Correct 464 ms 616 KB Output is correct
11 Correct 468 ms 512 KB Output is correct
12 Correct 474 ms 552 KB Output is correct
13 Correct 273 ms 604 KB Output is correct
14 Correct 729 ms 532 KB Output is correct
15 Correct 728 ms 640 KB Output is correct
16 Correct 246 ms 632 KB Output is correct
17 Correct 301 ms 632 KB Output is correct
18 Correct 267 ms 632 KB Output is correct
19 Correct 59 ms 504 KB Output is correct
20 Correct 201 ms 540 KB Output is correct
21 Correct 11 ms 384 KB Output is correct
22 Correct 62 ms 512 KB Output is correct
23 Correct 125 ms 512 KB Output is correct
24 Correct 45 ms 504 KB Output is correct
25 Correct 480 ms 620 KB Output is correct
26 Correct 505 ms 632 KB Output is correct
27 Correct 493 ms 512 KB Output is correct
28 Correct 269 ms 536 KB Output is correct
29 Correct 789 ms 600 KB Output is correct
30 Correct 796 ms 632 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 384 KB Output is correct
2 Correct 21 ms 384 KB Output is correct
3 Correct 168 ms 384 KB Output is correct
4 Correct 374 ms 512 KB Output is correct
5 Correct 137 ms 632 KB Output is correct
6 Correct 169 ms 632 KB Output is correct
7 Correct 294 ms 512 KB Output is correct
8 Correct 94 ms 504 KB Output is correct
9 Correct 193 ms 556 KB Output is correct
10 Correct 464 ms 616 KB Output is correct
11 Correct 468 ms 512 KB Output is correct
12 Correct 474 ms 552 KB Output is correct
13 Correct 273 ms 604 KB Output is correct
14 Correct 729 ms 532 KB Output is correct
15 Correct 728 ms 640 KB Output is correct
16 Correct 423 ms 512 KB Output is correct
17 Correct 202 ms 384 KB Output is correct
18 Correct 61 ms 384 KB Output is correct
19 Correct 14 ms 384 KB Output is correct
20 Correct 7 ms 384 KB Output is correct
21 Correct 9 ms 512 KB Output is correct
22 Correct 186 ms 512 KB Output is correct
23 Correct 41 ms 512 KB Output is correct
24 Correct 320 ms 548 KB Output is correct
25 Correct 473 ms 624 KB Output is correct
26 Correct 489 ms 632 KB Output is correct
27 Correct 488 ms 512 KB Output is correct
28 Correct 258 ms 632 KB Output is correct
29 Correct 751 ms 632 KB Output is correct
30 Correct 753 ms 632 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 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 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct

Subtask #7
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 27 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 8 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 16 ms 384 KB Output is correct
10 Correct 33 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 8 ms 512 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 3 ms 324 KB Output is correct
16 Correct 16 ms 384 KB Output is correct
17 Correct 18 ms 384 KB Output is correct
18 Correct 23 ms 384 KB Output is correct
19 Correct 3 ms 384 KB Output is correct
20 Correct 32 ms 384 KB Output is correct
21 Correct 46 ms 384 KB Output is correct
22 Correct 21 ms 384 KB Output is correct
23 Correct 168 ms 384 KB Output is correct
24 Correct 374 ms 512 KB Output is correct
25 Correct 137 ms 632 KB Output is correct
26 Correct 169 ms 632 KB Output is correct
27 Correct 294 ms 512 KB Output is correct
28 Correct 94 ms 504 KB Output is correct
29 Correct 193 ms 556 KB Output is correct
30 Correct 464 ms 616 KB Output is correct
31 Correct 468 ms 512 KB Output is correct
32 Correct 474 ms 552 KB Output is correct
33 Correct 273 ms 604 KB Output is correct
34 Correct 729 ms 532 KB Output is correct
35 Correct 728 ms 640 KB Output is correct
36 Correct 246 ms 632 KB Output is correct
37 Correct 301 ms 632 KB Output is correct
38 Correct 267 ms 632 KB Output is correct
39 Correct 59 ms 504 KB Output is correct
40 Correct 201 ms 540 KB Output is correct
41 Correct 11 ms 384 KB Output is correct
42 Correct 62 ms 512 KB Output is correct
43 Correct 125 ms 512 KB Output is correct
44 Correct 45 ms 504 KB Output is correct
45 Correct 480 ms 620 KB Output is correct
46 Correct 505 ms 632 KB Output is correct
47 Correct 493 ms 512 KB Output is correct
48 Correct 269 ms 536 KB Output is correct
49 Correct 789 ms 600 KB Output is correct
50 Correct 796 ms 632 KB Output is correct
51 Correct 423 ms 512 KB Output is correct
52 Correct 202 ms 384 KB Output is correct
53 Correct 61 ms 384 KB Output is correct
54 Correct 14 ms 384 KB Output is correct
55 Correct 7 ms 384 KB Output is correct
56 Correct 9 ms 512 KB Output is correct
57 Correct 186 ms 512 KB Output is correct
58 Correct 41 ms 512 KB Output is correct
59 Correct 320 ms 548 KB Output is correct
60 Correct 473 ms 624 KB Output is correct
61 Correct 489 ms 632 KB Output is correct
62 Correct 488 ms 512 KB Output is correct
63 Correct 258 ms 632 KB Output is correct
64 Correct 751 ms 632 KB Output is correct
65 Correct 753 ms 632 KB Output is correct
66 Correct 1 ms 384 KB Output is correct
67 Correct 0 ms 384 KB Output is correct
68 Correct 0 ms 384 KB Output is correct
69 Correct 0 ms 384 KB Output is correct
70 Correct 0 ms 384 KB Output is correct
71 Correct 1 ms 384 KB Output is correct
72 Correct 0 ms 384 KB Output is correct
73 Correct 0 ms 384 KB Output is correct
74 Correct 1 ms 384 KB Output is correct
75 Correct 1 ms 384 KB Output is correct
76 Correct 1 ms 384 KB Output is correct
77 Correct 1 ms 384 KB Output is correct
78 Correct 1 ms 384 KB Output is correct
79 Correct 1 ms 384 KB Output is correct
80 Correct 1 ms 384 KB Output is correct
81 Correct 382 ms 632 KB Output is correct
82 Correct 92 ms 384 KB Output is correct
83 Correct 172 ms 632 KB Output is correct
84 Correct 96 ms 632 KB Output is correct
85 Correct 152 ms 512 KB Output is correct
86 Correct 129 ms 384 KB Output is correct
87 Correct 23 ms 384 KB Output is correct
88 Correct 15 ms 384 KB Output is correct
89 Correct 56 ms 504 KB Output is correct
90 Correct 590 ms 632 KB Output is correct
91 Correct 492 ms 632 KB Output is correct
92 Correct 480 ms 636 KB Output is correct
93 Correct 496 ms 512 KB Output is correct
94 Correct 492 ms 632 KB Output is correct
95 Correct 301 ms 512 KB Output is correct
96 Correct 494 ms 632 KB Output is correct
97 Correct 494 ms 544 KB Output is correct
98 Correct 805 ms 600 KB Output is correct
99 Correct 802 ms 640 KB Output is correct
100 Correct 791 ms 528 KB Output is correct