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Submission #444794

# Submission time Handle Problem Language Result Execution time Memory
444794 2021-07-15T10:18:02 Z blue Lamps (JOI19_lamps) C++17
100 / 100
 108 ms 6284 KB 
#include <iostream>
#include <vector>
using namespace std;

/*
States:

0       nothing
1       on
2       off
3       toggle
4       on + off
5       on + toggle
6       off + on
7       off + toggle
8       toggle + on
9       toggle + off

We consider the sequence of operations applied to a given position in order.
(*) No two toggle operations can be adjacent.


(*) No operation can be completely contained inside another on/off operation.
*/

const int off = 0;
const int on = 1;
const int toggle = 2;

string s[3] = {"OFF", "ON", "TOGGLE"};

int op_res(int a, int b)
{
    if(b == off) return 0;
    else if(b == on) return 1;
    else return !a;
}

vector<int> ops[10];

int ops_res(int a, int b)
{
    for(int x: ops[b]) a = op_res(a, x);
    return a;
}

int cost_func(int ops1, int ops2)
{
    int ans = ops[ops2].size();

    int reducevalue = 0;
    if(ops[ops1] == ops[ops2]) reducevalue = ops[ops2].size();
    else
    {
        for(int x: ops[ops1])
            for(int y: ops[ops2])
                if(x == y)
                    reducevalue = 1;
    }

    return ans - reducevalue;
}

const long long INF = 1'000'000'000LL;

long long* dp1;
long long* dp2;

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

    ops[0] = vector<int>{};
    ops[1] = vector<int>{off};
    ops[2] = vector<int>{on};
    ops[3] = vector<int>{toggle};
    ops[4] = vector<int>{off, on};
    ops[5] = vector<int>{off, toggle};
    ops[6] = vector<int>{on, off};
    ops[7] = vector<int>{on, toggle};
    ops[8] = vector<int>{toggle, off};
    ops[9] = vector<int>{toggle, on};

    // for(int i = 0; i <= 9; i++)
    //     for(int j = 0; j <= 9; j++)
    //     {
    //         for(int x: ops[i]) cerr << s[x] << ' ';
    //         cerr << "-> ";
    //         for(int y: ops[j]) cerr << s[y] << ' ';
    //         cerr << ": ";
    //         cerr << cost(i, j) << '\n';
    //     }

    int N;
    cin >> N;

    string A;
    cin >> A;
    A = " " + A;

    string B;
    cin >> B;

    B = " " + B;

    dp1 = new long long[10];
    dp2 = new long long[10];


    dp2[0] = 0;
    for(int o = 1; o < 10; o++) dp2[o] = INF;

    long long cost[10][10];
    for(int o1 = 0; o1 < 10; o1++)
        for(int o2 = 0; o2 < 10; o2++)
            cost[o1][o2] = cost_func(o1, o2);

    for(int i = 1; i <= N; i++)
    {
        swap(dp1, dp2);
        for(int o2 = 0; o2 < 10; o2++)
        {
            if(ops_res(A[i] - '0', o2) != (B[i] - '0'))
            {
                dp2[o2] = INF;
            }
            else
            {
                dp2[o2] = INF;
                for(int o1 = 0; o1 < 10; o1++)
                {
                    dp2[o2] = min(dp2[o2], dp1[o1] + cost[o1][o2]);
                }
            }
        }
    }

    long long ans = INF;
    for(int o = 0; o < 10; o++)
        ans = min(ans, dp2[o]);

    cout << ans << '\n';
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 316 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 0 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 308 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 0 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 316 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 0 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 308 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 0 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 1 ms 204 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 1 ms 312 KB Output is correct
45 Correct 1 ms 204 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 204 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 1 ms 204 KB Output is correct
52 Correct 1 ms 204 KB Output is correct
53 Correct 1 ms 204 KB Output is correct
54 Correct 1 ms 204 KB Output is correct
55 Correct 1 ms 204 KB Output is correct
56 Correct 1 ms 204 KB Output is correct
57 Correct 1 ms 204 KB Output is correct
58 Correct 1 ms 204 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 0 ms 308 KB Output is correct
7 Correct 92 ms 6164 KB Output is correct
8 Correct 94 ms 6168 KB Output is correct
9 Correct 94 ms 6168 KB Output is correct
10 Correct 93 ms 6172 KB Output is correct
11 Correct 93 ms 6172 KB Output is correct
12 Correct 88 ms 6164 KB Output is correct
13 Correct 101 ms 6164 KB Output is correct
14 Correct 92 ms 6176 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 316 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 0 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 308 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 0 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 1 ms 204 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 1 ms 312 KB Output is correct
45 Correct 1 ms 204 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 204 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 1 ms 204 KB Output is correct
52 Correct 1 ms 204 KB Output is correct
53 Correct 1 ms 204 KB Output is correct
54 Correct 1 ms 204 KB Output is correct
55 Correct 1 ms 204 KB Output is correct
56 Correct 1 ms 204 KB Output is correct
57 Correct 1 ms 204 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 0 ms 204 KB Output is correct
60 Correct 1 ms 204 KB Output is correct
61 Correct 1 ms 204 KB Output is correct
62 Correct 0 ms 204 KB Output is correct
63 Correct 1 ms 204 KB Output is correct
64 Correct 0 ms 308 KB Output is correct
65 Correct 92 ms 6164 KB Output is correct
66 Correct 94 ms 6168 KB Output is correct
67 Correct 94 ms 6168 KB Output is correct
68 Correct 93 ms 6172 KB Output is correct
69 Correct 93 ms 6172 KB Output is correct
70 Correct 88 ms 6164 KB Output is correct
71 Correct 101 ms 6164 KB Output is correct
72 Correct 92 ms 6176 KB Output is correct
73 Correct 99 ms 6164 KB Output is correct
74 Correct 99 ms 6176 KB Output is correct
75 Correct 93 ms 6284 KB Output is correct
76 Correct 93 ms 6180 KB Output is correct
77 Correct 91 ms 6164 KB Output is correct
78 Correct 91 ms 6164 KB Output is correct
79 Correct 100 ms 6164 KB Output is correct
80 Correct 96 ms 6180 KB Output is correct
81 Correct 91 ms 6172 KB Output is correct
82 Correct 92 ms 6176 KB Output is correct
83 Correct 96 ms 6164 KB Output is correct
84 Correct 96 ms 6164 KB Output is correct
85 Correct 100 ms 6180 KB Output is correct
86 Correct 97 ms 6148 KB Output is correct
87 Correct 96 ms 6168 KB Output is correct
88 Correct 96 ms 6164 KB Output is correct
89 Correct 97 ms 6164 KB Output is correct
90 Correct 104 ms 6280 KB Output is correct
91 Correct 100 ms 6172 KB Output is correct
92 Correct 103 ms 6172 KB Output is correct
93 Correct 102 ms 6164 KB Output is correct
94 Correct 104 ms 6164 KB Output is correct
95 Correct 102 ms 6180 KB Output is correct
96 Correct 108 ms 6168 KB Output is correct
97 Correct 107 ms 6188 KB Output is correct
98 Correct 103 ms 6088 KB Output is correct
99 Correct 104 ms 6280 KB Output is correct
100 Correct 103 ms 6164 KB Output is correct
101 Correct 105 ms 6096 KB Output is correct
102 Correct 102 ms 6152 KB Output is correct