#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
*/
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |