oj.uz

Submission #1117564

# Submission time Handle Problem Language Result Execution time Memory
1117564 2024-11-24T03:45:09 Z Zero_OP Lamps (JOI19_lamps) C++14
100 / 100
 46 ms 16472 KB 
#include <bits/stdc++.h>

using namespace std;

int call(int state, int op){
    if(op == 0) return state;
    if(op == 1) return 0;
    if(op == 2) return 1;
    assert(false);
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int N;
    cin >> N;
    string A, B;
    cin >> A >> B;

    for(auto& c : A) c -= '0';
    for(auto& c : B) c -= '0';

    vector<array<int, 3>> dp(N + 1, {N, N, N});

    //0 : keep
    //1 : turn off
    //2 : turn on

    dp[0][0] = 0;
    for(int i = 1; i <= N; ++i){
        for(int pre = 0; pre < 3; ++pre){
            for(int cur = 0; cur < 3; ++cur){
                int need = dp[i - 1][pre] + (pre != cur && cur != 0);
                if((i == 1 || (call(A[i - 2], pre) == B[i - 2])) && call(A[i - 1], cur) != B[i - 1]){
                    ++need;
                }

                dp[i][cur] = min(dp[i][cur], need);
            }
        }
    }

    cout << min({dp[N][0], dp[N][1], dp[N][2]});

    return 0;
}

/*

Nhận xét 1 : Thực hiện trước tất cả các thao tác ON/OFF trước khi TOGGLE, chứng minh trực giác vì ON/OFF giống như xóa thông tin của cột trước khi thực hiện, còn TOGGLE là giữ lại thông tin đó theo các khác

Nhận xét 2 : Tồn tại cách giải tối ưu thỏa mãn : 
- Thực hiện tất cả thao tác ON/OFF trước khi TOGGLE
- Các đoạn thực hiện ON/OFF không chồng lên nhau
- Các đoạn thực hiện ON/OFF không liền kề nhau

*/

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 504 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 580 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 504 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 580 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 336 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 352 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 1 ms 336 KB Output is correct
49 Correct 1 ms 336 KB Output is correct
50 Correct 1 ms 336 KB Output is correct
51 Correct 2 ms 336 KB Output is correct
52 Correct 1 ms 336 KB Output is correct
53 Correct 1 ms 336 KB Output is correct
54 Correct 1 ms 336 KB Output is correct
55 Correct 1 ms 336 KB Output is correct
56 Correct 1 ms 336 KB Output is correct
57 Correct 1 ms 336 KB Output is correct
58 Correct 1 ms 336 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 504 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 30 ms 16180 KB Output is correct
8 Correct 28 ms 16024 KB Output is correct
9 Correct 29 ms 16204 KB Output is correct
10 Correct 30 ms 16044 KB Output is correct
11 Correct 29 ms 16036 KB Output is correct
12 Correct 28 ms 16036 KB Output is correct
13 Correct 29 ms 16308 KB Output is correct
14 Correct 28 ms 16040 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 504 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 580 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 336 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 352 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 1 ms 336 KB Output is correct
49 Correct 1 ms 336 KB Output is correct
50 Correct 1 ms 336 KB Output is correct
51 Correct 2 ms 336 KB Output is correct
52 Correct 1 ms 336 KB Output is correct
53 Correct 1 ms 336 KB Output is correct
54 Correct 1 ms 336 KB Output is correct
55 Correct 1 ms 336 KB Output is correct
56 Correct 1 ms 336 KB Output is correct
57 Correct 1 ms 336 KB Output is correct
58 Correct 1 ms 336 KB Output is correct
59 Correct 1 ms 336 KB Output is correct
60 Correct 1 ms 336 KB Output is correct
61 Correct 1 ms 504 KB Output is correct
62 Correct 1 ms 336 KB Output is correct
63 Correct 1 ms 336 KB Output is correct
64 Correct 1 ms 336 KB Output is correct
65 Correct 30 ms 16180 KB Output is correct
66 Correct 28 ms 16024 KB Output is correct
67 Correct 29 ms 16204 KB Output is correct
68 Correct 30 ms 16044 KB Output is correct
69 Correct 29 ms 16036 KB Output is correct
70 Correct 28 ms 16036 KB Output is correct
71 Correct 29 ms 16308 KB Output is correct
72 Correct 28 ms 16040 KB Output is correct
73 Correct 29 ms 16032 KB Output is correct
74 Correct 32 ms 16044 KB Output is correct
75 Correct 28 ms 16036 KB Output is correct
76 Correct 37 ms 16116 KB Output is correct
77 Correct 39 ms 16192 KB Output is correct
78 Correct 29 ms 16044 KB Output is correct
79 Correct 29 ms 16048 KB Output is correct
80 Correct 27 ms 16048 KB Output is correct
81 Correct 29 ms 16052 KB Output is correct
82 Correct 29 ms 16048 KB Output is correct
83 Correct 34 ms 16044 KB Output is correct
84 Correct 38 ms 16472 KB Output is correct
85 Correct 36 ms 16200 KB Output is correct
86 Correct 34 ms 16048 KB Output is correct
87 Correct 35 ms 16048 KB Output is correct
88 Correct 37 ms 16200 KB Output is correct
89 Correct 34 ms 16044 KB Output is correct
90 Correct 36 ms 16048 KB Output is correct
91 Correct 45 ms 16048 KB Output is correct
92 Correct 38 ms 16044 KB Output is correct
93 Correct 44 ms 16200 KB Output is correct
94 Correct 37 ms 16032 KB Output is correct
95 Correct 39 ms 16032 KB Output is correct
96 Correct 39 ms 16248 KB Output is correct
97 Correct 38 ms 16032 KB Output is correct
98 Correct 37 ms 16036 KB Output is correct
99 Correct 46 ms 16208 KB Output is correct
100 Correct 39 ms 16044 KB Output is correct
101 Correct 38 ms 16232 KB Output is correct
102 Correct 39 ms 16204 KB Output is correct