oj.uz

Submission #867240

# Submission time Handle Problem Language Result Execution time Memory
867240 2023-10-28T02:23:29 Z Dawnlight Lamps (JOI19_lamps) C++14
100 / 100
 54 ms 16208 KB 
#include <bits/stdc++.h>
#define ll long long
#define SZ(X) (int)(X.size())
#define MAX 1000006
using namespace std;

int len;
bool orig[MAX], targ[MAX];
int dp[MAX][3]; //  dp[i][3] answer for prefix i if [turn off, turn on, none] operation is used on the last letter

bool needXor(int loc, int op){
    return (op == 2 ? orig[loc] != targ[loc] : op != targ[loc]);
}

void input(bool & loc){
    char c;
    cin >> c;
    loc = c-'0';
}

int main() {
    ios::sync_with_stdio(0); cin.tie(0);
    cin >> len;
    for (int i = 1; i <= len; i++)
        input(orig[i]);
    for (int i = 1; i <= len; i++)
        input(targ[i]);
    
    dp[0][0] = dp[0][1] = MAX; // on/off operations should greedily come before xor operations
    for (int i = 1; i <= len; i++){ // on/off operations won't overlap; xor operations won't overlap
        for (int j : {0, 1, 2}){ // for this location
            dp[i][j] = MAX;
            for (int k : {0, 1, 2}){ // for previous location
                int res = dp[i-1][k] + (k != j && j != 2) + (!needXor(i-1, k) && needXor(i, j)); // cost of (starting new on/off operation) + (starting new xor op)
                dp[i][j] = min(res, dp[i][j]);
            }
        }
    }
    cout << min({dp[len][0], dp[len][1], dp[len][2]}) << "\n";
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2476 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2516 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct
25 Correct 0 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 0 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2476 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2516 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct
25 Correct 0 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 0 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2644 KB Output is correct
41 Correct 1 ms 2648 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2648 KB Output is correct
45 Correct 1 ms 2392 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2448 KB Output is correct
48 Correct 1 ms 2396 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 1 ms 2396 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2508 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 38 ms 16088 KB Output is correct
8 Correct 38 ms 15892 KB Output is correct
9 Correct 39 ms 15952 KB Output is correct
10 Correct 38 ms 15956 KB Output is correct
11 Correct 38 ms 15952 KB Output is correct
12 Correct 38 ms 16076 KB Output is correct
13 Correct 44 ms 16012 KB Output is correct
14 Correct 42 ms 15960 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2476 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2516 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct
25 Correct 0 ms 2396 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 0 ms 2396 KB Output is correct
28 Correct 0 ms 2396 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2644 KB Output is correct
41 Correct 1 ms 2648 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2648 KB Output is correct
45 Correct 1 ms 2392 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2448 KB Output is correct
48 Correct 1 ms 2396 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 1 ms 2396 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2508 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 0 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 1 ms 2396 KB Output is correct
62 Correct 1 ms 2396 KB Output is correct
63 Correct 0 ms 2396 KB Output is correct
64 Correct 0 ms 2396 KB Output is correct
65 Correct 38 ms 16088 KB Output is correct
66 Correct 38 ms 15892 KB Output is correct
67 Correct 39 ms 15952 KB Output is correct
68 Correct 38 ms 15956 KB Output is correct
69 Correct 38 ms 15952 KB Output is correct
70 Correct 38 ms 16076 KB Output is correct
71 Correct 44 ms 16012 KB Output is correct
72 Correct 42 ms 15960 KB Output is correct
73 Correct 43 ms 15952 KB Output is correct
74 Correct 41 ms 16084 KB Output is correct
75 Correct 37 ms 15956 KB Output is correct
76 Correct 42 ms 16148 KB Output is correct
77 Correct 37 ms 15976 KB Output is correct
78 Correct 42 ms 15952 KB Output is correct
79 Correct 38 ms 15952 KB Output is correct
80 Correct 37 ms 15952 KB Output is correct
81 Correct 38 ms 15836 KB Output is correct
82 Correct 42 ms 16080 KB Output is correct
83 Correct 48 ms 15956 KB Output is correct
84 Correct 45 ms 16076 KB Output is correct
85 Correct 42 ms 15892 KB Output is correct
86 Correct 42 ms 15952 KB Output is correct
87 Correct 42 ms 16084 KB Output is correct
88 Correct 45 ms 16072 KB Output is correct
89 Correct 41 ms 15832 KB Output is correct
90 Correct 42 ms 16088 KB Output is correct
91 Correct 43 ms 15956 KB Output is correct
92 Correct 50 ms 15884 KB Output is correct
93 Correct 50 ms 16208 KB Output is correct
94 Correct 49 ms 15956 KB Output is correct
95 Correct 46 ms 15956 KB Output is correct
96 Correct 46 ms 16008 KB Output is correct
97 Correct 54 ms 15900 KB Output is correct
98 Correct 46 ms 15956 KB Output is correct
99 Correct 47 ms 15956 KB Output is correct
100 Correct 46 ms 16100 KB Output is correct
101 Correct 45 ms 16084 KB Output is correct
102 Correct 46 ms 16080 KB Output is correct