#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
#define NL "\n"
#define SP " "
#define fmax(a, b) a = max(a, b)
#define fmin(a, b) a = min(a, b)
#define all(v) v.begin(), v.end()
const int mn = 1e6 + 1;
int dp[mn][3][2][3];
bool A[mn], B[mn];
int cost1 (int a, int b) {
if (b == 0 || a == b) return 0;
return 1;
}
int cost2 (int a, int b) {
if (b == 2 || a == b) return 0;
return 1;
}
void update (int i, int j, int k, int l) {
for (int j2 = 0; j2 < 3; j2++) {
for (int k2 = 0; k2 < 2; k2++) {
for (int l2 = 0; l2 < 3; l2++) {
if (dp[i - 1][j2][k2][l2] == INT_MAX) continue;
dp[i][j][k][l] = min(dp[i][j][k][l], dp[i - 1][j2][k2][l2] + cost2(j2, j) + cost1(k2, k) + cost2(l2, l));
}
}
}
return;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
int n; cin >> n;
for (int i = 1; i <= n; i++) {
char c; cin >> c;
if (c == '1') A[i] = 1;
}
for (int i = 1; i <= n; i++) {
char c; cin >> c;
if (c == '1') B[i] = 1;
}
for (int i = 0; i <= n; i++) {
for (int j = 0; j < 3; j++) {
for (int k = 0; k < 2; k++) {
for (int l = 0; l < 3; l++) dp[i][j][k][l] = INT_MAX;
}
}
}
dp[0][2][0][2] = 0;
for (int i = 1; i <= n; i++) {
// xor
update(i, !B[i], 1, 2);
update(i, 0, 1, B[i]);
update(i, 1, 1, B[i]);
update(i, 2, 1, B[i]);
if (A[i] != B[i]) update(i, 2, 1, 2);
// not xor
update(i, B[i], 0, 2);
update(i, 0, 0, B[i]);
update(i, 1, 1, B[i]);
update(i, 2, 1, B[i]);
if (A[i] == B[i]) update(i, 2, 0, 2);
}
int ans = INT_MAX;
for (int j = 0; j < 3; j++) {
for (int k = 0; k < 2; k++) {
for (int l = 0; l < 3; l++) ans = min(ans, dp[n][j][k][l]);
}
}
cout << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
336 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
328 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
336 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
328 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
468 KB |
Output is correct |
36 |
Correct |
2 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
468 KB |
Output is correct |
38 |
Correct |
1 ms |
464 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
464 KB |
Output is correct |
41 |
Correct |
2 ms |
468 KB |
Output is correct |
42 |
Correct |
2 ms |
468 KB |
Output is correct |
43 |
Correct |
2 ms |
468 KB |
Output is correct |
44 |
Correct |
1 ms |
468 KB |
Output is correct |
45 |
Correct |
2 ms |
464 KB |
Output is correct |
46 |
Correct |
1 ms |
468 KB |
Output is correct |
47 |
Correct |
2 ms |
464 KB |
Output is correct |
48 |
Correct |
1 ms |
468 KB |
Output is correct |
49 |
Correct |
1 ms |
468 KB |
Output is correct |
50 |
Correct |
1 ms |
468 KB |
Output is correct |
51 |
Correct |
2 ms |
456 KB |
Output is correct |
52 |
Correct |
2 ms |
468 KB |
Output is correct |
53 |
Correct |
2 ms |
452 KB |
Output is correct |
54 |
Correct |
1 ms |
468 KB |
Output is correct |
55 |
Correct |
1 ms |
468 KB |
Output is correct |
56 |
Correct |
1 ms |
468 KB |
Output is correct |
57 |
Correct |
1 ms |
468 KB |
Output is correct |
58 |
Correct |
2 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
383 ms |
71140 KB |
Output is correct |
8 |
Correct |
362 ms |
72012 KB |
Output is correct |
9 |
Correct |
366 ms |
72124 KB |
Output is correct |
10 |
Correct |
363 ms |
72120 KB |
Output is correct |
11 |
Correct |
382 ms |
72124 KB |
Output is correct |
12 |
Correct |
362 ms |
72108 KB |
Output is correct |
13 |
Correct |
371 ms |
71960 KB |
Output is correct |
14 |
Correct |
372 ms |
72120 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
336 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
328 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
468 KB |
Output is correct |
36 |
Correct |
2 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
468 KB |
Output is correct |
38 |
Correct |
1 ms |
464 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
464 KB |
Output is correct |
41 |
Correct |
2 ms |
468 KB |
Output is correct |
42 |
Correct |
2 ms |
468 KB |
Output is correct |
43 |
Correct |
2 ms |
468 KB |
Output is correct |
44 |
Correct |
1 ms |
468 KB |
Output is correct |
45 |
Correct |
2 ms |
464 KB |
Output is correct |
46 |
Correct |
1 ms |
468 KB |
Output is correct |
47 |
Correct |
2 ms |
464 KB |
Output is correct |
48 |
Correct |
1 ms |
468 KB |
Output is correct |
49 |
Correct |
1 ms |
468 KB |
Output is correct |
50 |
Correct |
1 ms |
468 KB |
Output is correct |
51 |
Correct |
2 ms |
456 KB |
Output is correct |
52 |
Correct |
2 ms |
468 KB |
Output is correct |
53 |
Correct |
2 ms |
452 KB |
Output is correct |
54 |
Correct |
1 ms |
468 KB |
Output is correct |
55 |
Correct |
1 ms |
468 KB |
Output is correct |
56 |
Correct |
1 ms |
468 KB |
Output is correct |
57 |
Correct |
1 ms |
468 KB |
Output is correct |
58 |
Correct |
2 ms |
468 KB |
Output is correct |
59 |
Correct |
0 ms |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
328 KB |
Output is correct |
61 |
Correct |
1 ms |
340 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
0 ms |
212 KB |
Output is correct |
65 |
Correct |
383 ms |
71140 KB |
Output is correct |
66 |
Correct |
362 ms |
72012 KB |
Output is correct |
67 |
Correct |
366 ms |
72124 KB |
Output is correct |
68 |
Correct |
363 ms |
72120 KB |
Output is correct |
69 |
Correct |
382 ms |
72124 KB |
Output is correct |
70 |
Correct |
362 ms |
72108 KB |
Output is correct |
71 |
Correct |
371 ms |
71960 KB |
Output is correct |
72 |
Correct |
372 ms |
72120 KB |
Output is correct |
73 |
Correct |
398 ms |
73812 KB |
Output is correct |
74 |
Correct |
379 ms |
74572 KB |
Output is correct |
75 |
Correct |
377 ms |
74700 KB |
Output is correct |
76 |
Correct |
369 ms |
74672 KB |
Output is correct |
77 |
Correct |
368 ms |
74660 KB |
Output is correct |
78 |
Correct |
364 ms |
74572 KB |
Output is correct |
79 |
Correct |
391 ms |
74720 KB |
Output is correct |
80 |
Correct |
374 ms |
74572 KB |
Output is correct |
81 |
Correct |
371 ms |
74700 KB |
Output is correct |
82 |
Correct |
372 ms |
74696 KB |
Output is correct |
83 |
Correct |
390 ms |
74672 KB |
Output is correct |
84 |
Correct |
402 ms |
74672 KB |
Output is correct |
85 |
Correct |
408 ms |
74720 KB |
Output is correct |
86 |
Correct |
392 ms |
74676 KB |
Output is correct |
87 |
Correct |
395 ms |
74676 KB |
Output is correct |
88 |
Correct |
395 ms |
74572 KB |
Output is correct |
89 |
Correct |
401 ms |
74680 KB |
Output is correct |
90 |
Correct |
384 ms |
74676 KB |
Output is correct |
91 |
Correct |
403 ms |
74756 KB |
Output is correct |
92 |
Correct |
404 ms |
74700 KB |
Output is correct |
93 |
Correct |
415 ms |
74572 KB |
Output is correct |
94 |
Correct |
402 ms |
74556 KB |
Output is correct |
95 |
Correct |
402 ms |
74672 KB |
Output is correct |
96 |
Correct |
406 ms |
74676 KB |
Output is correct |
97 |
Correct |
408 ms |
74660 KB |
Output is correct |
98 |
Correct |
407 ms |
74700 KB |
Output is correct |
99 |
Correct |
413 ms |
74676 KB |
Output is correct |
100 |
Correct |
405 ms |
74676 KB |
Output is correct |
101 |
Correct |
401 ms |
74612 KB |
Output is correct |
102 |
Correct |
409 ms |
74700 KB |
Output is correct |