CSES - Aalto Competitive Programming 2024 - wk3 - Mon - Results
Submission details
Task:Wheel of fortune
Sender:louaha1
Submission time:2024-09-16 17:26:19 +0300
Language:C++ (C++11)
Status:READY
Result:
Test results
testverdicttime
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Code

#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

int main() {
    int N;
    cin >> N;

    vector<int> C(N);
    for (int i = 0; i < N; ++i) {
        cin >> C[i];
    }

    if (N == 3) {
        int max_gain = 0;
        for (int i = 0; i < 3; ++i) {
            int gain = C[(i + 0) % 3] - C[(i + 1) % 3];
            max_gain = max(max_gain, gain);
        }
        cout << max_gain << endl;
        return 0;
    }

    vector<long long> dp_black(N, 0), dp_red(N, 0), dp_green(N, 0);

    dp_black[0] = C[0];
    dp_red[0] = -C[0];
    dp_green[0] = 0;

    for (int i = 1; i < N; ++i) {
        dp_black[i] = max(dp_red[i - 1], dp_green[i - 1]) + C[i];
        dp_red[i] = max(dp_black[i - 1], dp_green[i - 1]) - C[i];
        dp_green[i] = max(dp_black[i - 1], dp_red[i - 1]);
    }

    long long max_profit = max({dp_black[N - 1], dp_red[N - 1], dp_green[N - 1]});

    if (N > 2) {
        vector<long long> dp_black_with_first(N, 0), dp_red_with_first(N, 0), dp_green_with_first(N, 0);

        dp_black_with_first[0] = C[0];
        dp_red_with_first[0] = -C[0];
        dp_green_with_first[0] = 0;

        dp_black_with_first[1] = max(dp_red_with_first[0], dp_green_with_first[0]) + C[1];
        dp_red_with_first[1] = max(dp_black_with_first[0], dp_green_with_first[0]) - C[1];
        dp_green_with_first[1] = max(dp_black_with_first[0], dp_red_with_first[0]);

        for (int i = 2; i < N; ++i) {
            dp_black_with_first[i] = max(dp_red_with_first[i - 1], dp_green_with_first[i - 1]) + C[i];
            dp_red_with_first[i] = max(dp_black_with_first[i - 1], dp_green_with_first[i - 1]) - C[i];
            dp_green_with_first[i] = max(dp_black_with_first[i - 1], dp_red_with_first[i - 1]);
        }

        max_profit = max(max_profit, dp_black_with_first[N - 1]);
    }

    cout << max_profit << endl;

    return 0;
}

Test details

Test 1

Verdict:

input
3
41702 99720 72033 

correct output
58018

user output
30331

Test 2

Verdict: ACCEPTED

input
4
41702 99720 72033 93257 

correct output
192977

user output
192977

Test 3

Verdict:

input
5
41702 99720 72033 93257 11 

correct output
192966

user output
192977

Test 4

Verdict: ACCEPTED

input
6
41702 99720 72033 93257 11 128...

correct output
205789

user output
205789

Test 5

Verdict: ACCEPTED

input
7
41702 99720 72033 93257 11 128...

correct output
223199

user output
223199

Test 6

Verdict: ACCEPTED

input
10
41702 99720 72033 93257 11 128...

correct output
329303

user output
329303

Test 7

Verdict:

input
3
43600 18508 2592 

correct output
41008

user output
25092

Test 8

Verdict:

input
4
43600 18508 2592 93155 

correct output
111663

user output
134163

Test 9

Verdict: ACCEPTED

input
5
43600 18508 2592 93155 54967 

correct output
134163

user output
134163

Test 10

Verdict:

input
6
43600 18508 2592 93155 54967 9...

correct output
206437

user output
228937

Test 11

Verdict: ACCEPTED

input
7
43600 18508 2592 93155 54967 9...

correct output
228937

user output
228937

Test 12

Verdict:

input
10
43600 18508 2592 93155 54967 9...

correct output
286966

user output
309466

Test 13

Verdict:

input
3
55080 7072 70815 

correct output
63743

user output
48008

Test 14

Verdict:

input
4
55080 7072 70815 83996 

correct output
125895

user output
132004

Test 15

Verdict:

input
5
55080 7072 70815 83996 29090 

correct output
132004

user output
154985

Test 16

Verdict: ACCEPTED

input
6
55080 7072 70815 83996 29090 1...

correct output
154985

user output
154985

Test 17

Verdict:

input
7
55080 7072 70815 83996 29090 1...

correct output
144137

user output
206068

Test 18

Verdict: ACCEPTED

input
10
96704 90063 54724 17269 97269 ...

correct output
389952

user output
389952

Test 19

Verdict:

input
3
96704 90063 54724 

correct output
41980

user output
35339

Test 20

Verdict: ACCEPTED

input
4
96704 90063 54724 17269 

correct output
151428

user output
151428

Test 21

Verdict:

input
5
96704 90063 54724 17269 97269 

correct output
170063

user output
248697

Test 22

Verdict: ACCEPTED

input
6
96704 90063 54724 17269 97269 ...

correct output
248697

user output
248697

Test 23

Verdict:

input
7
96704 90063 54724 17269 97269 ...

correct output
241545

user output
320179

Test 24

Verdict: ACCEPTED

input
10
96704 90063 54724 17269 97269 ...

correct output
389952

user output
389952

Test 25

Verdict: ACCEPTED

input
50
41702 99720 72033 93257 11 128...

correct output
1508857

user output
1508857

Test 26

Verdict:

input
50
43600 18508 2592 93155 54967 9...

correct output
1261022

user output
1283522

Test 27

Verdict:

input
50
55080 7072 70815 83996 29090 1...

correct output
1204485

user output
1266637

Test 28

Verdict:

input
50
96704 90063 54724 17269 97269 ...

correct output
1548881

user output
1558384

Test 29

Verdict:

input
250
41702 99720 72033 93257 11 128...

correct output
7048856

user output
7077728

Test 30

Verdict:

input
250
43600 18508 2592 93155 54967 9...

correct output
7355456

user output
7377956

Test 31

Verdict:

input
250
55080 7072 70815 83996 29090 1...

correct output
6879335

user output
6908597

Test 32

Verdict: ACCEPTED

input
250
96704 90063 54724 17269 97269 ...

correct output
7241700

user output
7241700

Test 33

Verdict: ACCEPTED

input
900
41702 99720 72033 93257 11 128...

correct output
25585084

user output
25585084

Test 34

Verdict: ACCEPTED

input
900
43600 18508 2592 93155 54967 9...

correct output
25559325

user output
25559325

Test 35

Verdict:

input
900
55080 7072 70815 83996 29090 1...

correct output
25395388

user output
25409350

Test 36

Verdict:

input
900
96704 90063 54724 17269 97269 ...

correct output
25722421

user output
25788092

Test 37

Verdict:

input
10000
41702 99720 72033 93257 11 128...

correct output
286456959

user output
286474819

Test 38

Verdict: ACCEPTED

input
3
2 3 3 

correct output
1

user output
1

Test 39

Verdict: ACCEPTED

input
4
2 4 3 4 

correct output
8

user output
8

Test 40

Verdict:

input
5
3 5 4 5 1 

correct output
9

user output
10

Test 41

Verdict: ACCEPTED

input
6
3 6 5 6 1 1 

correct output
13

user output
13

Test 42

Verdict: ACCEPTED

input
7
3 7 6 7 1 1 3 

correct output
16

user output
16

Test 43

Verdict: ACCEPTED

input
10
5 10 8 10 1 2 4 10 2 3 

correct output
35

user output
35

Test 44

Verdict: ACCEPTED

input
3
2 1 1 

correct output
1

user output
1

Test 45

Verdict: ACCEPTED

input
4
2 1 1 4 

correct output
5

user output
5

Test 46

Verdict: ACCEPTED

input
5
3 1 1 5 3 

correct output
7

user output
7

Test 47

Verdict: ACCEPTED

input
6
3 2 1 6 4 6 

correct output
14

user output
14

Test 48

Verdict: ACCEPTED

input
7
4 2 1 7 4 7 4 

correct output
17

user output
17

Test 49

Verdict:

input
10
5 2 1 10 6 10 5 5 5 4 

correct output
31

user output
33

Test 50

Verdict: ACCEPTED

input
3
2 3 3 

correct output
1

user output
1

Test 51

Verdict: ACCEPTED

input
4
2 4 3 4 

correct output
8

user output
8

Test 52

Verdict:

input
5
3 5 4 5 1 

correct output
9

user output
10

Test 53

Verdict: ACCEPTED

input
6
3 6 5 6 1 1 

correct output
13

user output
13

Test 54

Verdict: ACCEPTED

input
7
3 7 6 7 1 1 3 

correct output
16

user output
16

Test 55

Verdict: ACCEPTED

input
10
5 10 8 10 1 2 4 10 2 3 

correct output
35

user output
35

Test 56

Verdict: ACCEPTED

input
3
2 1 1 

correct output
1

user output
1

Test 57

Verdict: ACCEPTED

input
4
2 1 1 4 

correct output
5

user output
5

Test 58

Verdict: ACCEPTED

input
5
3 1 1 5 3 

correct output
7

user output
7

Test 59

Verdict: ACCEPTED

input
6
3 2 1 6 4 6 

correct output
14

user output
14

Test 60

Verdict: ACCEPTED

input
7
4 2 1 7 4 7 4 

correct output
17

user output
17

Test 61

Verdict:

input
10
5 2 1 10 6 10 5 5 5 4 

correct output
31

user output
33

Test 62

Verdict:

input
3
2 1 3 

correct output
2

user output
1

Test 63

Verdict: ACCEPTED

input
4
3 1 3 4 

correct output
6

user output
6

Test 64

Verdict:

input
5
3 1 4 5 2 

correct output
7

user output
9

Test 65

Verdict: ACCEPTED

input
6
4 1 5 6 2 1 

correct output
11

user output
11

Test 66

Verdict:

input
7
4 1 5 6 3 1 4 

correct output
11

user output
16

Test 67

Verdict: ACCEPTED

input
10
10 10 6 2 10 9 8 7 7 6 

correct output
41

user output
41

Test 68

Verdict: ACCEPTED

input
3
3 3 2 

correct output
1

user output
1

Test 69

Verdict: ACCEPTED

input
4
4 4 3 1 

correct output
7

user output
7

Test 70

Verdict:

input
5
5 5 3 1 5 

correct output
9

user output
13

Test 71

Verdict: ACCEPTED

input
6
6 6 4 2 6 6 

correct output
16

user output
16

Test 72

Verdict:

input
7
7 7 4 2 7 6 6 

correct output
18

user output
24

Test 73

Verdict: ACCEPTED

input
10
10 10 6 2 10 9 8 7 7 6 

correct output
41

user output
41

Test 74

Verdict: ACCEPTED

input
50
21 50 37 47 1 7 16 50 8 12 5 2...

correct output
764

user output
764

Test 75

Verdict:

input
50
22 10 2 47 28 48 22 25 22 17 1...

correct output
641

user output
651

Test 76

Verdict:

input
50
28 4 36 42 15 7 26 29 45 22 45...

correct output
610

user output
642

Test 77

Verdict:

input
50
49 46 28 9 49 43 36 31 35 30 1...

correct output
783

user output
788

Test 78

Verdict:

input
250
105 250 181 234 1 33 76 250 37...

correct output
17676

user output
17749

Test 79

Verdict:

input
250
109 47 7 233 138 237 109 122 1...

correct output
18449

user output
18504

Test 80

Verdict:

input
250
138 18 178 210 73 31 128 143 2...

correct output
17250

user output
17324

Test 81

Verdict: ACCEPTED

input
250
242 226 137 44 244 214 179 153...

correct output
18157

user output
18157

Test 82

Verdict: ACCEPTED

input
900
376 898 649 840 1 116 273 900 ...

correct output
230450

user output
230450

Test 83

Verdict: ACCEPTED

input
900
393 167 24 839 495 853 392 437...

correct output
230221

user output
230221

Test 84

Verdict:

input
900
496 64 638 756 262 110 460 513...

correct output
228745

user output
228870

Test 85

Verdict:

input
900
871 811 493 156 876 771 644 54...

correct output
231686

user output
232278

Test 86

Verdict:

input
10000
4171 9972 7204 9326 2 1282 302...

correct output
28647603

user output
28649390

Test 87

Verdict: ACCEPTED

input
100000
41703 99721 72034 93258 12 128...

correct output
2838931183

user output
2838931183

Test 88

Verdict:

input
100000
43601 18509 2593 93156 54968 9...

correct output
2842573127

user output
2842595626

Test 89

Verdict: ACCEPTED

input
100000
55081 7073 70816 83997 29091 1...

correct output
2839271262

user output
2839271262

Test 90

Verdict: ACCEPTED

input
4
100000 100000 100000 100000 

correct output
200000

user output
200000

Test 91

Verdict:

input
5
100000 100000 100000 100000 10...

correct output
100000

user output
300000

Test 92

Verdict: ACCEPTED

input
6
100000 100000 100000 100000 10...

correct output
300000

user output
300000

Test 93

Verdict:

input
7
100000 100000 100000 100000 10...

correct output
200000

user output
400000

Test 94

Verdict: ACCEPTED

input
10
100000 100000 100000 100000 10...

correct output
500000

user output
500000

Test 95

Verdict: ACCEPTED

input
50
100000 100000 100000 100000 10...

correct output
2500000

user output
2500000

Test 96

Verdict: ACCEPTED

input
250
100000 100000 100000 100000 10...

correct output
12500000

user output
12500000

Test 97

Verdict: ACCEPTED

input
900
100000 100000 100000 100000 10...

correct output
45000000

user output
45000000

Test 98

Verdict: ACCEPTED

input
10000
100000 100000 100000 100000 10...

correct output
500000000

user output
500000000

Test 99

Verdict: ACCEPTED

input
100000
100000 100000 100000 100000 10...

correct output
5000000000

user output
5000000000

Test 100

Verdict: ACCEPTED

input
3
100000 100000 100000 

correct output
0

user output
0