oj.uz

Submission #444469

# Submission time Handle Problem Language Result Execution time Memory
444469 2021-07-14T07:06:20 Z blue Lamps (JOI19_lamps) C++17
100 / 100
 725 ms 6292 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
*/

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(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;

    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 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 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 204 KB Output is correct
15 Correct 1 ms 308 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 312 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 312 KB Output is correct
26 Correct 0 ms 312 KB Output is correct
27 Correct 0 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 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 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 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 204 KB Output is correct
15 Correct 1 ms 308 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 312 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 312 KB Output is correct
26 Correct 0 ms 312 KB Output is correct
27 Correct 0 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 2 ms 204 KB Output is correct
36 Correct 2 ms 204 KB Output is correct
37 Correct 2 ms 312 KB Output is correct
38 Correct 2 ms 204 KB Output is correct
39 Correct 2 ms 204 KB Output is correct
40 Correct 2 ms 204 KB Output is correct
41 Correct 2 ms 204 KB Output is correct
42 Correct 2 ms 204 KB Output is correct
43 Correct 2 ms 204 KB Output is correct
44 Correct 2 ms 204 KB Output is correct
45 Correct 2 ms 204 KB Output is correct
46 Correct 2 ms 204 KB Output is correct
47 Correct 2 ms 204 KB Output is correct
48 Correct 2 ms 204 KB Output is correct
49 Correct 3 ms 204 KB Output is correct
50 Correct 2 ms 204 KB Output is correct
51 Correct 2 ms 312 KB Output is correct
52 Correct 2 ms 204 KB Output is correct
53 Correct 2 ms 204 KB Output is correct
54 Correct 2 ms 204 KB Output is correct
55 Correct 2 ms 316 KB Output is correct
56 Correct 2 ms 204 KB Output is correct
57 Correct 2 ms 204 KB Output is correct
58 Correct 2 ms 312 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 308 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 632 ms 6180 KB Output is correct
8 Correct 640 ms 6168 KB Output is correct
9 Correct 722 ms 6176 KB Output is correct
10 Correct 638 ms 6280 KB Output is correct
11 Correct 685 ms 6180 KB Output is correct
12 Correct 634 ms 6168 KB Output is correct
13 Correct 612 ms 6176 KB Output is correct
14 Correct 611 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 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 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 204 KB Output is correct
15 Correct 1 ms 308 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 312 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 312 KB Output is correct
26 Correct 0 ms 312 KB Output is correct
27 Correct 0 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 2 ms 204 KB Output is correct
36 Correct 2 ms 204 KB Output is correct
37 Correct 2 ms 312 KB Output is correct
38 Correct 2 ms 204 KB Output is correct
39 Correct 2 ms 204 KB Output is correct
40 Correct 2 ms 204 KB Output is correct
41 Correct 2 ms 204 KB Output is correct
42 Correct 2 ms 204 KB Output is correct
43 Correct 2 ms 204 KB Output is correct
44 Correct 2 ms 204 KB Output is correct
45 Correct 2 ms 204 KB Output is correct
46 Correct 2 ms 204 KB Output is correct
47 Correct 2 ms 204 KB Output is correct
48 Correct 2 ms 204 KB Output is correct
49 Correct 3 ms 204 KB Output is correct
50 Correct 2 ms 204 KB Output is correct
51 Correct 2 ms 312 KB Output is correct
52 Correct 2 ms 204 KB Output is correct
53 Correct 2 ms 204 KB Output is correct
54 Correct 2 ms 204 KB Output is correct
55 Correct 2 ms 316 KB Output is correct
56 Correct 2 ms 204 KB Output is correct
57 Correct 2 ms 204 KB Output is correct
58 Correct 2 ms 312 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 308 KB Output is correct
62 Correct 1 ms 204 KB Output is correct
63 Correct 1 ms 204 KB Output is correct
64 Correct 1 ms 204 KB Output is correct
65 Correct 632 ms 6180 KB Output is correct
66 Correct 640 ms 6168 KB Output is correct
67 Correct 722 ms 6176 KB Output is correct
68 Correct 638 ms 6280 KB Output is correct
69 Correct 685 ms 6180 KB Output is correct
70 Correct 634 ms 6168 KB Output is correct
71 Correct 612 ms 6176 KB Output is correct
72 Correct 611 ms 6176 KB Output is correct
73 Correct 631 ms 6172 KB Output is correct
74 Correct 669 ms 6176 KB Output is correct
75 Correct 672 ms 6280 KB Output is correct
76 Correct 675 ms 6180 KB Output is correct
77 Correct 661 ms 6172 KB Output is correct
78 Correct 641 ms 6280 KB Output is correct
79 Correct 725 ms 6172 KB Output is correct
80 Correct 653 ms 6188 KB Output is correct
81 Correct 665 ms 6172 KB Output is correct
82 Correct 644 ms 6284 KB Output is correct
83 Correct 617 ms 6176 KB Output is correct
84 Correct 620 ms 6188 KB Output is correct
85 Correct 619 ms 6172 KB Output is correct
86 Correct 688 ms 6180 KB Output is correct
87 Correct 656 ms 6280 KB Output is correct
88 Correct 654 ms 6172 KB Output is correct
89 Correct 642 ms 6172 KB Output is correct
90 Correct 643 ms 6292 KB Output is correct
91 Correct 701 ms 6176 KB Output is correct
92 Correct 659 ms 6280 KB Output is correct
93 Correct 689 ms 6176 KB Output is correct
94 Correct 717 ms 6176 KB Output is correct
95 Correct 684 ms 6172 KB Output is correct
96 Correct 661 ms 6164 KB Output is correct
97 Correct 665 ms 6172 KB Output is correct
98 Correct 680 ms 6196 KB Output is correct
99 Correct 659 ms 6172 KB Output is correct
100 Correct 668 ms 6172 KB Output is correct
101 Correct 700 ms 6172 KB Output is correct
102 Correct 651 ms 6168 KB Output is correct