Submission #456230

# Submission time Handle Problem Language Result Execution time Memory
456230 2021-08-06T09:17:29 Z astoria Visiting Singapore (NOI20_visitingsingapore) C++14
100 / 100
368 ms 196388 KB
#include <bits/stdc++.h>
using namespace std;

int main(){
    int k,n,m,a,b;
    cin >> k >> n >> m >> a >> b;
    int v[k+5];
    for (int i=1; i<=k; i++) cin >> v[i];
    int day[n+5];
    for (int i=1; i<=n; i++) cin >> day[i];
    int ord[m+5];
    for (int i=1; i<=m; i++) cin >> ord[i];
    
    int dp[2][m+5][2];
    for (int i=0; i<2; i++){
        for (int j=0; j<m+5; j++){
            dp[i][j][0] = -1e9 - 200;
            dp[i][j][1] = -1e9 - 200;
        }
    }
    
    dp[0][0][0] = 0;
    dp[0][0][1] = 0;
    dp[1][0][0] = 0;
    dp[1][0][1] = 0;
    
    int storage[n+5][m+5];
    
    for (int i=0; i<(m+5); i++) storage[0][i] = max(dp[0][i][0],dp[0][i][1]);
    /*for (int i=1; i<=n; i++){
     dp[i][0][0] = 0;
     dp[i][0][1] = 0; //you don't need to go to singapore yet.
     }*/
    
    int bst[n+5][m+5];
    for (int j=1; j<=m; j++){
        bst[0][j] = (j*b); //you have jumped some event
    }
    bst[0][0] = -1e9 - 200; //not possible if jump
    
    //cout << "HEHE" << endl;
    
    for (int i=1; i<=n; i++){
        for (int j=1; j<=m; j++){
            dp[1][j][0] = max(dp[0][j][0] + b,dp[0][j][1] + a + b);
            if (day[i]==ord[j]){
                dp[1][j][1] = max(bst[i-1][j-1] + a, max(dp[0][j-1][1],dp[0][j-1][0])) + v[day[i]];
            }
            else dp[1][j][1] = -1e9 - 200;
        }
        bst[i][0] = -1e9 - 200; //impossible if jump forced
        
        for (int j=1; j<=m; j++){
            bst[i][j] = max(bst[i][j-1]+b, max(dp[1][j-1][1],dp[1][j-1][0])+b);
        }
        for (int j=0; j<=m; j++) storage[i][j] = max(dp[1][j][0],dp[1][j][1]);
        for (int j=0; j<=m; j++) dp[0][j][0] = dp[1][j][0], dp[0][j][1] = dp[1][j][1];
    }
    int mx = -1e9 - 200;
    for (int i=0; i<=n; i++){
        for (int j=0; j<=m; j++){
            int val = storage[i][j] + a + (m-j)*b;
            if (j==m) val -= a;
            mx = max(mx,val);
        }
    }
    
    /*for (int i=0; i<=n; i++){
     for (int j=0; j<=m; j++){
     cout << "(" << dp[i][j][0] << ',' << dp[i][j][1] << ") ";
     }
     cout << endl;
     }*/
    
    int nov= a + (b*m);
    cout << max(mx,nov);
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 12 ms 6948 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 3 ms 2124 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 844 KB Output is correct
9 Correct 6 ms 4044 KB Output is correct
10 Correct 13 ms 8140 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 4 ms 2124 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 844 KB Output is correct
6 Correct 7 ms 4064 KB Output is correct
7 Correct 7 ms 4044 KB Output is correct
8 Correct 11 ms 5708 KB Output is correct
9 Correct 2 ms 844 KB Output is correct
10 Correct 13 ms 8244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 25 ms 19276 KB Output is correct
2 Correct 11 ms 7972 KB Output is correct
3 Correct 83 ms 64716 KB Output is correct
4 Correct 203 ms 156676 KB Output is correct
5 Correct 62 ms 45772 KB Output is correct
6 Correct 90 ms 66804 KB Output is correct
7 Correct 166 ms 124644 KB Output is correct
8 Correct 53 ms 40780 KB Output is correct
9 Correct 100 ms 79920 KB Output is correct
10 Correct 245 ms 195612 KB Output is correct
11 Correct 258 ms 195140 KB Output is correct
12 Correct 251 ms 196160 KB Output is correct
13 Correct 251 ms 196144 KB Output is correct
14 Correct 368 ms 195740 KB Output is correct
15 Correct 296 ms 195588 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 25 ms 19276 KB Output is correct
2 Correct 11 ms 7972 KB Output is correct
3 Correct 83 ms 64716 KB Output is correct
4 Correct 203 ms 156676 KB Output is correct
5 Correct 62 ms 45772 KB Output is correct
6 Correct 90 ms 66804 KB Output is correct
7 Correct 166 ms 124644 KB Output is correct
8 Correct 53 ms 40780 KB Output is correct
9 Correct 100 ms 79920 KB Output is correct
10 Correct 245 ms 195612 KB Output is correct
11 Correct 258 ms 195140 KB Output is correct
12 Correct 251 ms 196160 KB Output is correct
13 Correct 251 ms 196144 KB Output is correct
14 Correct 368 ms 195740 KB Output is correct
15 Correct 296 ms 195588 KB Output is correct
16 Correct 138 ms 102212 KB Output is correct
17 Correct 165 ms 123436 KB Output is correct
18 Correct 139 ms 109700 KB Output is correct
19 Correct 30 ms 22412 KB Output is correct
20 Correct 105 ms 78020 KB Output is correct
21 Correct 6 ms 4556 KB Output is correct
22 Correct 33 ms 25164 KB Output is correct
23 Correct 64 ms 49480 KB Output is correct
24 Correct 23 ms 17740 KB Output is correct
25 Correct 259 ms 195592 KB Output is correct
26 Correct 248 ms 195492 KB Output is correct
27 Correct 251 ms 196388 KB Output is correct
28 Correct 254 ms 195560 KB Output is correct
29 Correct 304 ms 195100 KB Output is correct
30 Correct 291 ms 195232 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 25 ms 19276 KB Output is correct
2 Correct 11 ms 7972 KB Output is correct
3 Correct 83 ms 64716 KB Output is correct
4 Correct 203 ms 156676 KB Output is correct
5 Correct 62 ms 45772 KB Output is correct
6 Correct 90 ms 66804 KB Output is correct
7 Correct 166 ms 124644 KB Output is correct
8 Correct 53 ms 40780 KB Output is correct
9 Correct 100 ms 79920 KB Output is correct
10 Correct 245 ms 195612 KB Output is correct
11 Correct 258 ms 195140 KB Output is correct
12 Correct 251 ms 196160 KB Output is correct
13 Correct 251 ms 196144 KB Output is correct
14 Correct 368 ms 195740 KB Output is correct
15 Correct 296 ms 195588 KB Output is correct
16 Correct 207 ms 163212 KB Output is correct
17 Correct 106 ms 75036 KB Output is correct
18 Correct 34 ms 23372 KB Output is correct
19 Correct 8 ms 6156 KB Output is correct
20 Correct 5 ms 3200 KB Output is correct
21 Correct 7 ms 4700 KB Output is correct
22 Correct 101 ms 75160 KB Output is correct
23 Correct 19 ms 14224 KB Output is correct
24 Correct 171 ms 132856 KB Output is correct
25 Correct 272 ms 195396 KB Output is correct
26 Correct 247 ms 195524 KB Output is correct
27 Correct 268 ms 195416 KB Output is correct
28 Correct 273 ms 195212 KB Output is correct
29 Correct 297 ms 195584 KB Output is correct
30 Correct 342 ms 195652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 12 ms 6948 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 3 ms 2124 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 844 KB Output is correct
9 Correct 6 ms 4044 KB Output is correct
10 Correct 13 ms 8140 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 4 ms 2124 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 844 KB Output is correct
16 Correct 7 ms 4064 KB Output is correct
17 Correct 7 ms 4044 KB Output is correct
18 Correct 11 ms 5708 KB Output is correct
19 Correct 2 ms 844 KB Output is correct
20 Correct 13 ms 8244 KB Output is correct
21 Correct 25 ms 19276 KB Output is correct
22 Correct 11 ms 7972 KB Output is correct
23 Correct 83 ms 64716 KB Output is correct
24 Correct 203 ms 156676 KB Output is correct
25 Correct 62 ms 45772 KB Output is correct
26 Correct 90 ms 66804 KB Output is correct
27 Correct 166 ms 124644 KB Output is correct
28 Correct 53 ms 40780 KB Output is correct
29 Correct 100 ms 79920 KB Output is correct
30 Correct 245 ms 195612 KB Output is correct
31 Correct 258 ms 195140 KB Output is correct
32 Correct 251 ms 196160 KB Output is correct
33 Correct 251 ms 196144 KB Output is correct
34 Correct 368 ms 195740 KB Output is correct
35 Correct 296 ms 195588 KB Output is correct
36 Correct 138 ms 102212 KB Output is correct
37 Correct 165 ms 123436 KB Output is correct
38 Correct 139 ms 109700 KB Output is correct
39 Correct 30 ms 22412 KB Output is correct
40 Correct 105 ms 78020 KB Output is correct
41 Correct 6 ms 4556 KB Output is correct
42 Correct 33 ms 25164 KB Output is correct
43 Correct 64 ms 49480 KB Output is correct
44 Correct 23 ms 17740 KB Output is correct
45 Correct 259 ms 195592 KB Output is correct
46 Correct 248 ms 195492 KB Output is correct
47 Correct 251 ms 196388 KB Output is correct
48 Correct 254 ms 195560 KB Output is correct
49 Correct 304 ms 195100 KB Output is correct
50 Correct 291 ms 195232 KB Output is correct
51 Correct 207 ms 163212 KB Output is correct
52 Correct 106 ms 75036 KB Output is correct
53 Correct 34 ms 23372 KB Output is correct
54 Correct 8 ms 6156 KB Output is correct
55 Correct 5 ms 3200 KB Output is correct
56 Correct 7 ms 4700 KB Output is correct
57 Correct 101 ms 75160 KB Output is correct
58 Correct 19 ms 14224 KB Output is correct
59 Correct 171 ms 132856 KB Output is correct
60 Correct 272 ms 195396 KB Output is correct
61 Correct 247 ms 195524 KB Output is correct
62 Correct 268 ms 195416 KB Output is correct
63 Correct 273 ms 195212 KB Output is correct
64 Correct 297 ms 195584 KB Output is correct
65 Correct 342 ms 195652 KB Output is correct
66 Correct 1 ms 204 KB Output is correct
67 Correct 0 ms 204 KB Output is correct
68 Correct 1 ms 204 KB Output is correct
69 Correct 1 ms 204 KB Output is correct
70 Correct 0 ms 204 KB Output is correct
71 Correct 1 ms 332 KB Output is correct
72 Correct 1 ms 204 KB Output is correct
73 Correct 1 ms 332 KB Output is correct
74 Correct 1 ms 332 KB Output is correct
75 Correct 1 ms 332 KB Output is correct
76 Correct 1 ms 332 KB Output is correct
77 Correct 1 ms 332 KB Output is correct
78 Correct 1 ms 332 KB Output is correct
79 Correct 1 ms 332 KB Output is correct
80 Correct 1 ms 332 KB Output is correct
81 Correct 231 ms 156820 KB Output is correct
82 Correct 65 ms 36556 KB Output is correct
83 Correct 88 ms 69664 KB Output is correct
84 Correct 48 ms 37048 KB Output is correct
85 Correct 80 ms 62296 KB Output is correct
86 Correct 90 ms 53152 KB Output is correct
87 Correct 16 ms 9264 KB Output is correct
88 Correct 8 ms 5836 KB Output is correct
89 Correct 29 ms 21908 KB Output is correct
90 Correct 294 ms 195752 KB Output is correct
91 Correct 266 ms 195520 KB Output is correct
92 Correct 275 ms 195536 KB Output is correct
93 Correct 253 ms 195564 KB Output is correct
94 Correct 269 ms 195912 KB Output is correct
95 Correct 257 ms 195860 KB Output is correct
96 Correct 251 ms 195444 KB Output is correct
97 Correct 250 ms 195612 KB Output is correct
98 Correct 305 ms 195140 KB Output is correct
99 Correct 297 ms 195816 KB Output is correct
100 Correct 308 ms 194900 KB Output is correct