#include <bits/stdc++.h>
#define bp __builtin_popcountll
#define pb push_back
#define in(s) freopen(s, "r", stdin);
#define out(s) freopen(s, "w", stdout);
#define inout(s, end1, end2) freopen((string(s) + "." + end1).c_str(), "r", stdin),\
freopen((string(s) + "." + end2).c_str(), "w", stdout);
#define fi first
#define se second
#define bw(i, r, l) for (int i = r - 1; i >= l; i--)
#define fw(i, l, r) for (int i = l; i < r; i++)
#define fa(i, x) for (auto i: x)
using namespace std;
const int mod = 1e9 + 7, inf = 1061109567;
const long long infll = 4557430888798830399;
const int N = 1e6 + 5;
int n, dp[N][2][2][2];
string a, b;
signed main() {
#ifdef BLU
in("blu.inp");
#endif
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> n >> a >> b;
// Strategy: Use the first 2 operations to turn the sequence into alternating 0s and 1s segments, then
// in each segment use operation 3 to make 'em gud.
// dp[i][2][2][2]: Lamp i, currently wot's the color, dood we pay for it, wot's the flip status.
a = " " + a;
b = " " + b;
memset(dp, 63, sizeof dp);
dp[0][0][0][0] = 0;
dp[0][1][0][0] = 0;
fw (i, 0, n) fw (j, 0, 2) fw (paid, 0, 2) fw (k, 0, 2) if (dp[i][j][paid][k] != inf) {
int final = j ^ k;
if (i && final != b[i] - '0') continue;
// cout << "dp[" << i << "][" << j << "][" << paid << "][" << k << "] = " << dp[i][j][paid][k] << "\n";
fw (nxtj, 0, 2) fw (nxtk, 0, 2) {
int cost = 0, nxtPaid = 0;
if (nxtj != j) {
if (nxtj == a[i + 1] - '0') nxtPaid = 0, cost = 0;
else nxtPaid = 1, cost = 1;
} else {
if (paid) cost = 0, nxtPaid = 1;
else {
if (a[i + 1] - '0' == nxtj) cost = 0, nxtPaid = 0;
else cost = 1, nxtPaid = 1;
}
}
int costk = 0;
if (k == 0 && nxtk == 1) costk = 1;
dp[i + 1][nxtj][nxtPaid][nxtk] = min(dp[i + 1][nxtj][nxtPaid][nxtk], dp[i][j][paid][k] + cost + costk);
}
}
int ans = inf;
fw (j, 0, 2) fw (paid, 0, 2) fw (k, 0, 2) {
int final = j ^ k;
if (final != b[n] - '0') continue;
// cout << "dp[" << n << "][" << j << "][" << paid << "][" << k << "] = " << dp[n][j][paid][k] << "\n";
ans = min(ans, dp[n][j][paid][k]);
}
cout << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
31608 KB |
Output is correct |
2 |
Correct |
22 ms |
31608 KB |
Output is correct |
3 |
Correct |
22 ms |
31608 KB |
Output is correct |
4 |
Correct |
25 ms |
31608 KB |
Output is correct |
5 |
Correct |
22 ms |
31608 KB |
Output is correct |
6 |
Correct |
22 ms |
31608 KB |
Output is correct |
7 |
Correct |
22 ms |
31608 KB |
Output is correct |
8 |
Correct |
22 ms |
31608 KB |
Output is correct |
9 |
Correct |
21 ms |
31608 KB |
Output is correct |
10 |
Correct |
21 ms |
31608 KB |
Output is correct |
11 |
Correct |
21 ms |
31608 KB |
Output is correct |
12 |
Correct |
23 ms |
31608 KB |
Output is correct |
13 |
Correct |
22 ms |
31608 KB |
Output is correct |
14 |
Correct |
21 ms |
31608 KB |
Output is correct |
15 |
Correct |
21 ms |
31608 KB |
Output is correct |
16 |
Correct |
21 ms |
31608 KB |
Output is correct |
17 |
Correct |
21 ms |
31608 KB |
Output is correct |
18 |
Correct |
21 ms |
31608 KB |
Output is correct |
19 |
Correct |
23 ms |
31608 KB |
Output is correct |
20 |
Correct |
22 ms |
31608 KB |
Output is correct |
21 |
Correct |
22 ms |
31608 KB |
Output is correct |
22 |
Correct |
21 ms |
31608 KB |
Output is correct |
23 |
Correct |
22 ms |
31608 KB |
Output is correct |
24 |
Correct |
21 ms |
31608 KB |
Output is correct |
25 |
Correct |
22 ms |
31608 KB |
Output is correct |
26 |
Correct |
21 ms |
31612 KB |
Output is correct |
27 |
Correct |
23 ms |
31608 KB |
Output is correct |
28 |
Correct |
22 ms |
31608 KB |
Output is correct |
29 |
Correct |
22 ms |
31608 KB |
Output is correct |
30 |
Correct |
21 ms |
31608 KB |
Output is correct |
31 |
Correct |
22 ms |
31608 KB |
Output is correct |
32 |
Correct |
23 ms |
31608 KB |
Output is correct |
33 |
Correct |
21 ms |
31608 KB |
Output is correct |
34 |
Correct |
22 ms |
31608 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
31608 KB |
Output is correct |
2 |
Correct |
22 ms |
31608 KB |
Output is correct |
3 |
Correct |
22 ms |
31608 KB |
Output is correct |
4 |
Correct |
25 ms |
31608 KB |
Output is correct |
5 |
Correct |
22 ms |
31608 KB |
Output is correct |
6 |
Correct |
22 ms |
31608 KB |
Output is correct |
7 |
Correct |
22 ms |
31608 KB |
Output is correct |
8 |
Correct |
22 ms |
31608 KB |
Output is correct |
9 |
Correct |
21 ms |
31608 KB |
Output is correct |
10 |
Correct |
21 ms |
31608 KB |
Output is correct |
11 |
Correct |
21 ms |
31608 KB |
Output is correct |
12 |
Correct |
23 ms |
31608 KB |
Output is correct |
13 |
Correct |
22 ms |
31608 KB |
Output is correct |
14 |
Correct |
21 ms |
31608 KB |
Output is correct |
15 |
Correct |
21 ms |
31608 KB |
Output is correct |
16 |
Correct |
21 ms |
31608 KB |
Output is correct |
17 |
Correct |
21 ms |
31608 KB |
Output is correct |
18 |
Correct |
21 ms |
31608 KB |
Output is correct |
19 |
Correct |
23 ms |
31608 KB |
Output is correct |
20 |
Correct |
22 ms |
31608 KB |
Output is correct |
21 |
Correct |
22 ms |
31608 KB |
Output is correct |
22 |
Correct |
21 ms |
31608 KB |
Output is correct |
23 |
Correct |
22 ms |
31608 KB |
Output is correct |
24 |
Correct |
21 ms |
31608 KB |
Output is correct |
25 |
Correct |
22 ms |
31608 KB |
Output is correct |
26 |
Correct |
21 ms |
31612 KB |
Output is correct |
27 |
Correct |
23 ms |
31608 KB |
Output is correct |
28 |
Correct |
22 ms |
31608 KB |
Output is correct |
29 |
Correct |
22 ms |
31608 KB |
Output is correct |
30 |
Correct |
21 ms |
31608 KB |
Output is correct |
31 |
Correct |
22 ms |
31608 KB |
Output is correct |
32 |
Correct |
23 ms |
31608 KB |
Output is correct |
33 |
Correct |
21 ms |
31608 KB |
Output is correct |
34 |
Correct |
22 ms |
31608 KB |
Output is correct |
35 |
Correct |
22 ms |
31608 KB |
Output is correct |
36 |
Correct |
21 ms |
31608 KB |
Output is correct |
37 |
Correct |
22 ms |
31584 KB |
Output is correct |
38 |
Correct |
21 ms |
31608 KB |
Output is correct |
39 |
Correct |
22 ms |
31608 KB |
Output is correct |
40 |
Correct |
23 ms |
31608 KB |
Output is correct |
41 |
Correct |
25 ms |
31608 KB |
Output is correct |
42 |
Correct |
22 ms |
31608 KB |
Output is correct |
43 |
Correct |
22 ms |
31736 KB |
Output is correct |
44 |
Correct |
21 ms |
31608 KB |
Output is correct |
45 |
Correct |
21 ms |
31608 KB |
Output is correct |
46 |
Correct |
23 ms |
31608 KB |
Output is correct |
47 |
Correct |
21 ms |
31608 KB |
Output is correct |
48 |
Correct |
23 ms |
31608 KB |
Output is correct |
49 |
Correct |
22 ms |
31608 KB |
Output is correct |
50 |
Correct |
22 ms |
31608 KB |
Output is correct |
51 |
Correct |
23 ms |
31608 KB |
Output is correct |
52 |
Correct |
22 ms |
31608 KB |
Output is correct |
53 |
Correct |
22 ms |
31608 KB |
Output is correct |
54 |
Correct |
22 ms |
31608 KB |
Output is correct |
55 |
Correct |
22 ms |
31608 KB |
Output is correct |
56 |
Correct |
23 ms |
31608 KB |
Output is correct |
57 |
Correct |
22 ms |
31608 KB |
Output is correct |
58 |
Correct |
21 ms |
31608 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
31608 KB |
Output is correct |
2 |
Correct |
22 ms |
31608 KB |
Output is correct |
3 |
Correct |
23 ms |
31608 KB |
Output is correct |
4 |
Correct |
21 ms |
31608 KB |
Output is correct |
5 |
Correct |
22 ms |
31608 KB |
Output is correct |
6 |
Correct |
22 ms |
31608 KB |
Output is correct |
7 |
Correct |
84 ms |
35612 KB |
Output is correct |
8 |
Correct |
94 ms |
35616 KB |
Output is correct |
9 |
Correct |
85 ms |
35608 KB |
Output is correct |
10 |
Correct |
86 ms |
35584 KB |
Output is correct |
11 |
Correct |
85 ms |
35616 KB |
Output is correct |
12 |
Correct |
87 ms |
35616 KB |
Output is correct |
13 |
Correct |
85 ms |
35572 KB |
Output is correct |
14 |
Correct |
85 ms |
35608 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
31608 KB |
Output is correct |
2 |
Correct |
22 ms |
31608 KB |
Output is correct |
3 |
Correct |
22 ms |
31608 KB |
Output is correct |
4 |
Correct |
25 ms |
31608 KB |
Output is correct |
5 |
Correct |
22 ms |
31608 KB |
Output is correct |
6 |
Correct |
22 ms |
31608 KB |
Output is correct |
7 |
Correct |
22 ms |
31608 KB |
Output is correct |
8 |
Correct |
22 ms |
31608 KB |
Output is correct |
9 |
Correct |
21 ms |
31608 KB |
Output is correct |
10 |
Correct |
21 ms |
31608 KB |
Output is correct |
11 |
Correct |
21 ms |
31608 KB |
Output is correct |
12 |
Correct |
23 ms |
31608 KB |
Output is correct |
13 |
Correct |
22 ms |
31608 KB |
Output is correct |
14 |
Correct |
21 ms |
31608 KB |
Output is correct |
15 |
Correct |
21 ms |
31608 KB |
Output is correct |
16 |
Correct |
21 ms |
31608 KB |
Output is correct |
17 |
Correct |
21 ms |
31608 KB |
Output is correct |
18 |
Correct |
21 ms |
31608 KB |
Output is correct |
19 |
Correct |
23 ms |
31608 KB |
Output is correct |
20 |
Correct |
22 ms |
31608 KB |
Output is correct |
21 |
Correct |
22 ms |
31608 KB |
Output is correct |
22 |
Correct |
21 ms |
31608 KB |
Output is correct |
23 |
Correct |
22 ms |
31608 KB |
Output is correct |
24 |
Correct |
21 ms |
31608 KB |
Output is correct |
25 |
Correct |
22 ms |
31608 KB |
Output is correct |
26 |
Correct |
21 ms |
31612 KB |
Output is correct |
27 |
Correct |
23 ms |
31608 KB |
Output is correct |
28 |
Correct |
22 ms |
31608 KB |
Output is correct |
29 |
Correct |
22 ms |
31608 KB |
Output is correct |
30 |
Correct |
21 ms |
31608 KB |
Output is correct |
31 |
Correct |
22 ms |
31608 KB |
Output is correct |
32 |
Correct |
23 ms |
31608 KB |
Output is correct |
33 |
Correct |
21 ms |
31608 KB |
Output is correct |
34 |
Correct |
22 ms |
31608 KB |
Output is correct |
35 |
Correct |
22 ms |
31608 KB |
Output is correct |
36 |
Correct |
21 ms |
31608 KB |
Output is correct |
37 |
Correct |
22 ms |
31584 KB |
Output is correct |
38 |
Correct |
21 ms |
31608 KB |
Output is correct |
39 |
Correct |
22 ms |
31608 KB |
Output is correct |
40 |
Correct |
23 ms |
31608 KB |
Output is correct |
41 |
Correct |
25 ms |
31608 KB |
Output is correct |
42 |
Correct |
22 ms |
31608 KB |
Output is correct |
43 |
Correct |
22 ms |
31736 KB |
Output is correct |
44 |
Correct |
21 ms |
31608 KB |
Output is correct |
45 |
Correct |
21 ms |
31608 KB |
Output is correct |
46 |
Correct |
23 ms |
31608 KB |
Output is correct |
47 |
Correct |
21 ms |
31608 KB |
Output is correct |
48 |
Correct |
23 ms |
31608 KB |
Output is correct |
49 |
Correct |
22 ms |
31608 KB |
Output is correct |
50 |
Correct |
22 ms |
31608 KB |
Output is correct |
51 |
Correct |
23 ms |
31608 KB |
Output is correct |
52 |
Correct |
22 ms |
31608 KB |
Output is correct |
53 |
Correct |
22 ms |
31608 KB |
Output is correct |
54 |
Correct |
22 ms |
31608 KB |
Output is correct |
55 |
Correct |
22 ms |
31608 KB |
Output is correct |
56 |
Correct |
23 ms |
31608 KB |
Output is correct |
57 |
Correct |
22 ms |
31608 KB |
Output is correct |
58 |
Correct |
21 ms |
31608 KB |
Output is correct |
59 |
Correct |
22 ms |
31608 KB |
Output is correct |
60 |
Correct |
22 ms |
31608 KB |
Output is correct |
61 |
Correct |
23 ms |
31608 KB |
Output is correct |
62 |
Correct |
21 ms |
31608 KB |
Output is correct |
63 |
Correct |
22 ms |
31608 KB |
Output is correct |
64 |
Correct |
22 ms |
31608 KB |
Output is correct |
65 |
Correct |
84 ms |
35612 KB |
Output is correct |
66 |
Correct |
94 ms |
35616 KB |
Output is correct |
67 |
Correct |
85 ms |
35608 KB |
Output is correct |
68 |
Correct |
86 ms |
35584 KB |
Output is correct |
69 |
Correct |
85 ms |
35616 KB |
Output is correct |
70 |
Correct |
87 ms |
35616 KB |
Output is correct |
71 |
Correct |
85 ms |
35572 KB |
Output is correct |
72 |
Correct |
85 ms |
35608 KB |
Output is correct |
73 |
Correct |
106 ms |
35612 KB |
Output is correct |
74 |
Correct |
108 ms |
35612 KB |
Output is correct |
75 |
Correct |
106 ms |
35616 KB |
Output is correct |
76 |
Correct |
107 ms |
35616 KB |
Output is correct |
77 |
Correct |
86 ms |
35488 KB |
Output is correct |
78 |
Correct |
88 ms |
35616 KB |
Output is correct |
79 |
Correct |
108 ms |
35612 KB |
Output is correct |
80 |
Correct |
108 ms |
35608 KB |
Output is correct |
81 |
Correct |
84 ms |
35616 KB |
Output is correct |
82 |
Correct |
84 ms |
35612 KB |
Output is correct |
83 |
Correct |
116 ms |
35616 KB |
Output is correct |
84 |
Correct |
116 ms |
35576 KB |
Output is correct |
85 |
Correct |
117 ms |
35616 KB |
Output is correct |
86 |
Correct |
117 ms |
35568 KB |
Output is correct |
87 |
Correct |
116 ms |
35616 KB |
Output is correct |
88 |
Correct |
113 ms |
35612 KB |
Output is correct |
89 |
Correct |
114 ms |
35612 KB |
Output is correct |
90 |
Correct |
116 ms |
35616 KB |
Output is correct |
91 |
Correct |
117 ms |
35616 KB |
Output is correct |
92 |
Correct |
119 ms |
35616 KB |
Output is correct |
93 |
Correct |
123 ms |
35616 KB |
Output is correct |
94 |
Correct |
119 ms |
35512 KB |
Output is correct |
95 |
Correct |
122 ms |
35612 KB |
Output is correct |
96 |
Correct |
121 ms |
35616 KB |
Output is correct |
97 |
Correct |
121 ms |
35620 KB |
Output is correct |
98 |
Correct |
123 ms |
35592 KB |
Output is correct |
99 |
Correct |
122 ms |
35608 KB |
Output is correct |
100 |
Correct |
122 ms |
35616 KB |
Output is correct |
101 |
Correct |
123 ms |
35644 KB |
Output is correct |
102 |
Correct |
120 ms |
35608 KB |
Output is correct |