oj.uz

Submission #285488

# Submission time Handle Problem Language Result Execution time Memory
285488 2020-08-29T07:06:12 Z achibasadzishvili Visiting Singapore (NOI20_visitingsingapore) C++17
100 / 100
 321 ms 196472 KB 
#include<bits/stdc++.h>
#define ll long long
#define f first
#define s second
#define pb push_back
#define inf 1000000000000
using namespace std;
ll k,n,m,A,B,v[5005],s[5005],t[5005];
ll dp[5005][5005],mx[5005];
int main(){
    ios::sync_with_stdio(false);
    cin >> k >> n >> m >> A >> B;
    A = -A;
    B = -B;
    for(int i=1; i<=k; i++)
        cin >> v[i];
    for(int i=1; i<=n; i++)
        cin >> s[i];
    for(int i=1; i<=m; i++)
        cin >> t[i];
    
    for(int i=0; i<=n; i++)
        for(int j=0; j<=m; j++)
            dp[i][j] = -inf;
    for(int i=0; i<=m; i++)
        mx[i] = -inf;
    for(int i=1; i<=m; i++){
        if(s[1] == t[i])
            if(i == 1)dp[1][i] = v[s[1]];
            else dp[1][i] = v[s[1]] - A - (i - 1) * B;
    }
    for(int i=2; i<=n; i++){
        ll cur = -inf;
        for(int j=1; j<=m; j++){
            dp[i][j] = -inf;
            if(s[i] != t[j]){
                cur = max(cur - B , max(mx[j - 1] , dp[i - 1][j - 1]) - A - B);
                continue;
            }
            if(j == 1){
                dp[i][j] = v[t[1]];
            }
            else {
                dp[i][j] = v[s[i]] - A - (j - 1) * B;
            }
            dp[i][j] = max(dp[i][j] , max(dp[i - 1][j - 1] , cur) + v[s[i]]);
            dp[i][j] = max(dp[i][j] , mx[j - 1] + v[s[i]]);
            cur = max(cur - B , max(mx[j - 1] , dp[i - 1][j - 1]) - A - B);
        }
        for(int j=1; j<=m; j++){
            mx[j] = max(mx[j] - B , dp[i - 1][j] - A - B);
        }
    }
    ll ans = -A - m * B;
    for(int i=1; i<=n; i++)
        for(int j=1; j<=m; j++){
            if(j == m)
            ans = max(ans , dp[i][j]);
            else ans = max(ans , dp[i][j] - A - (m - j) * B);
        }
    
    cout << ans << '\n';
    
    
    return 0;
}

Compilation message

VisitingSingapore.cpp: In function 'int main()':
VisitingSingapore.cpp:28:11: warning: suggest explicit braces to avoid ambiguous 'else' [-Wdangling-else]
   28 |         if(s[1] == t[i])
      |           ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1408 KB Output is correct
2 Correct 13 ms 10880 KB Output is correct
3 Correct 1 ms 1408 KB Output is correct
4 Correct 2 ms 3968 KB Output is correct
5 Correct 1 ms 1920 KB Output is correct
6 Correct 5 ms 5376 KB Output is correct
7 Correct 1 ms 1152 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 8 ms 7296 KB Output is correct
10 Correct 15 ms 12288 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 4 ms 3456 KB Output is correct
4 Correct 1 ms 768 KB Output is correct
5 Correct 2 ms 1536 KB Output is correct
6 Correct 8 ms 6528 KB Output is correct
7 Correct 7 ms 6144 KB Output is correct
8 Correct 11 ms 9088 KB Output is correct
9 Correct 3 ms 1920 KB Output is correct
10 Correct 15 ms 12288 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 30080 KB Output is correct
2 Correct 16 ms 18176 KB Output is correct
3 Correct 95 ms 79992 KB Output is correct
4 Correct 201 ms 174456 KB Output is correct
5 Correct 64 ms 51448 KB Output is correct
6 Correct 88 ms 76408 KB Output is correct
7 Correct 163 ms 143608 KB Output is correct
8 Correct 59 ms 54912 KB Output is correct
9 Correct 104 ms 91512 KB Output is correct
10 Correct 238 ms 196220 KB Output is correct
11 Correct 238 ms 195708 KB Output is correct
12 Correct 239 ms 196216 KB Output is correct
13 Correct 238 ms 196088 KB Output is correct
14 Correct 321 ms 196220 KB Output is correct
15 Correct 319 ms 196188 KB Output is correct

Subtask #4
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 30080 KB Output is correct
2 Correct 16 ms 18176 KB Output is correct
3 Correct 95 ms 79992 KB Output is correct
4 Correct 201 ms 174456 KB Output is correct
5 Correct 64 ms 51448 KB Output is correct
6 Correct 88 ms 76408 KB Output is correct
7 Correct 163 ms 143608 KB Output is correct
8 Correct 59 ms 54912 KB Output is correct
9 Correct 104 ms 91512 KB Output is correct
10 Correct 238 ms 196220 KB Output is correct
11 Correct 238 ms 195708 KB Output is correct
12 Correct 239 ms 196216 KB Output is correct
13 Correct 238 ms 196088 KB Output is correct
14 Correct 321 ms 196220 KB Output is correct
15 Correct 319 ms 196188 KB Output is correct
16 Correct 133 ms 117880 KB Output is correct
17 Correct 163 ms 142712 KB Output is correct
18 Correct 170 ms 129272 KB Output is correct
19 Correct 32 ms 26880 KB Output is correct
20 Correct 107 ms 93208 KB Output is correct
21 Correct 11 ms 9984 KB Output is correct
22 Correct 35 ms 28928 KB Output is correct
23 Correct 67 ms 57088 KB Output is correct
24 Correct 31 ms 29124 KB Output is correct
25 Correct 240 ms 195792 KB Output is correct
26 Correct 266 ms 195704 KB Output is correct
27 Correct 239 ms 196344 KB Output is correct
28 Correct 239 ms 196344 KB Output is correct
29 Correct 294 ms 195704 KB Output is correct
30 Correct 291 ms 195960 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 30080 KB Output is correct
2 Correct 16 ms 18176 KB Output is correct
3 Correct 95 ms 79992 KB Output is correct
4 Correct 201 ms 174456 KB Output is correct
5 Correct 64 ms 51448 KB Output is correct
6 Correct 88 ms 76408 KB Output is correct
7 Correct 163 ms 143608 KB Output is correct
8 Correct 59 ms 54912 KB Output is correct
9 Correct 104 ms 91512 KB Output is correct
10 Correct 238 ms 196220 KB Output is correct
11 Correct 238 ms 195708 KB Output is correct
12 Correct 239 ms 196216 KB Output is correct
13 Correct 238 ms 196088 KB Output is correct
14 Correct 321 ms 196220 KB Output is correct
15 Correct 319 ms 196188 KB Output is correct
16 Correct 210 ms 182520 KB Output is correct
17 Correct 109 ms 92920 KB Output is correct
18 Correct 33 ms 28408 KB Output is correct
19 Correct 11 ms 10752 KB Output is correct
20 Correct 5 ms 4224 KB Output is correct
21 Correct 7 ms 5248 KB Output is correct
22 Correct 100 ms 86264 KB Output is correct
23 Correct 26 ms 21632 KB Output is correct
24 Correct 177 ms 152184 KB Output is correct
25 Correct 237 ms 195832 KB Output is correct
26 Correct 245 ms 195836 KB Output is correct
27 Correct 243 ms 195704 KB Output is correct
28 Correct 237 ms 195960 KB Output is correct
29 Correct 293 ms 195832 KB Output is correct
30 Correct 291 ms 196472 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 768 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 640 KB Output is correct
10 Correct 1 ms 768 KB Output is correct
11 Correct 1 ms 896 KB Output is correct
12 Correct 1 ms 768 KB Output is correct
13 Correct 1 ms 768 KB Output is correct
14 Correct 1 ms 768 KB Output is correct
15 Correct 1 ms 768 KB Output is correct

Subtask #7
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1408 KB Output is correct
2 Correct 13 ms 10880 KB Output is correct
3 Correct 1 ms 1408 KB Output is correct
4 Correct 2 ms 3968 KB Output is correct
5 Correct 1 ms 1920 KB Output is correct
6 Correct 5 ms 5376 KB Output is correct
7 Correct 1 ms 1152 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 8 ms 7296 KB Output is correct
10 Correct 15 ms 12288 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 4 ms 3456 KB Output is correct
14 Correct 1 ms 768 KB Output is correct
15 Correct 2 ms 1536 KB Output is correct
16 Correct 8 ms 6528 KB Output is correct
17 Correct 7 ms 6144 KB Output is correct
18 Correct 11 ms 9088 KB Output is correct
19 Correct 3 ms 1920 KB Output is correct
20 Correct 15 ms 12288 KB Output is correct
21 Correct 31 ms 30080 KB Output is correct
22 Correct 16 ms 18176 KB Output is correct
23 Correct 95 ms 79992 KB Output is correct
24 Correct 201 ms 174456 KB Output is correct
25 Correct 64 ms 51448 KB Output is correct
26 Correct 88 ms 76408 KB Output is correct
27 Correct 163 ms 143608 KB Output is correct
28 Correct 59 ms 54912 KB Output is correct
29 Correct 104 ms 91512 KB Output is correct
30 Correct 238 ms 196220 KB Output is correct
31 Correct 238 ms 195708 KB Output is correct
32 Correct 239 ms 196216 KB Output is correct
33 Correct 238 ms 196088 KB Output is correct
34 Correct 321 ms 196220 KB Output is correct
35 Correct 319 ms 196188 KB Output is correct
36 Correct 133 ms 117880 KB Output is correct
37 Correct 163 ms 142712 KB Output is correct
38 Correct 170 ms 129272 KB Output is correct
39 Correct 32 ms 26880 KB Output is correct
40 Correct 107 ms 93208 KB Output is correct
41 Correct 11 ms 9984 KB Output is correct
42 Correct 35 ms 28928 KB Output is correct
43 Correct 67 ms 57088 KB Output is correct
44 Correct 31 ms 29124 KB Output is correct
45 Correct 240 ms 195792 KB Output is correct
46 Correct 266 ms 195704 KB Output is correct
47 Correct 239 ms 196344 KB Output is correct
48 Correct 239 ms 196344 KB Output is correct
49 Correct 294 ms 195704 KB Output is correct
50 Correct 291 ms 195960 KB Output is correct
51 Correct 210 ms 182520 KB Output is correct
52 Correct 109 ms 92920 KB Output is correct
53 Correct 33 ms 28408 KB Output is correct
54 Correct 11 ms 10752 KB Output is correct
55 Correct 5 ms 4224 KB Output is correct
56 Correct 7 ms 5248 KB Output is correct
57 Correct 100 ms 86264 KB Output is correct
58 Correct 26 ms 21632 KB Output is correct
59 Correct 177 ms 152184 KB Output is correct
60 Correct 237 ms 195832 KB Output is correct
61 Correct 245 ms 195836 KB Output is correct
62 Correct 243 ms 195704 KB Output is correct
63 Correct 237 ms 195960 KB Output is correct
64 Correct 293 ms 195832 KB Output is correct
65 Correct 291 ms 196472 KB Output is correct
66 Correct 1 ms 640 KB Output is correct
67 Correct 1 ms 384 KB Output is correct
68 Correct 1 ms 384 KB Output is correct
69 Correct 1 ms 640 KB Output is correct
70 Correct 1 ms 512 KB Output is correct
71 Correct 1 ms 768 KB Output is correct
72 Correct 1 ms 512 KB Output is correct
73 Correct 1 ms 512 KB Output is correct
74 Correct 1 ms 640 KB Output is correct
75 Correct 1 ms 768 KB Output is correct
76 Correct 1 ms 896 KB Output is correct
77 Correct 1 ms 768 KB Output is correct
78 Correct 1 ms 768 KB Output is correct
79 Correct 1 ms 768 KB Output is correct
80 Correct 1 ms 768 KB Output is correct
81 Correct 201 ms 176120 KB Output is correct
82 Correct 55 ms 48248 KB Output is correct
83 Correct 94 ms 79264 KB Output is correct
84 Correct 50 ms 42616 KB Output is correct
85 Correct 85 ms 73720 KB Output is correct
86 Correct 75 ms 66680 KB Output is correct
87 Correct 15 ms 12800 KB Output is correct
88 Correct 10 ms 10624 KB Output is correct
89 Correct 32 ms 28800 KB Output is correct
90 Correct 268 ms 196112 KB Output is correct
91 Correct 240 ms 196088 KB Output is correct
92 Correct 239 ms 196036 KB Output is correct
93 Correct 242 ms 196096 KB Output is correct
94 Correct 243 ms 196088 KB Output is correct
95 Correct 236 ms 196088 KB Output is correct
96 Correct 257 ms 196176 KB Output is correct
97 Correct 240 ms 196472 KB Output is correct
98 Correct 289 ms 195832 KB Output is correct
99 Correct 289 ms 196088 KB Output is correct
100 Correct 295 ms 195576 KB Output is correct