#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb emplace_back
#define AI(i) begin(i), end(i)
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l << " \n"[next(l) == r], ++l; }
#else
#define DE(...) 0
#define debug(...) 0
#endif
const int MAX_N = 1000010, inf = 1e9;
int n;
char a[MAX_N], b[MAX_N];
int va[MAX_N], vb[MAX_N], pfa[MAX_N], pfb[MAX_N], dp[MAX_N], dif[MAX_N];
int bst[2], good;
int32_t main() {
ios_base::sync_with_stdio(0), cin.tie(0);
cin >> n >> a+1 >> b+1;
for (int i = 1;i <= n;++i) a[i] -= '0', b[i] -= '0';
++n;
for (int i = n;i >= 1;--i) {
va[i] = a[i] ^ a[i-1];
vb[i] = b[i] ^ b[i-1];
}
for (int i = 1;i <= n;++i) {
pfa[i] = pfa[i-1] + va[i];
pfb[i] = pfb[i-1] + vb[i];
dif[i] = dif[i-1] + (va[i] != vb[i]);
}
if (accumulate(va, va+n+1, 0) == 0)
return cout << accumulate(vb, vb + n + 1, 0) / 2 << '\n', 0;
if (n > 3000) return -1;
bst[0] = bst[1] = good = inf;
for (int i = 1;i <= n;++i) {
dp[i] = dif[i] + 1;
// chmin(dp[i], (va[i]==vb[i]) + pfb[i-1]
// + bst[ a[i-1] ]);
for (int j = 0;j < i;++j) {
if ( a[i-1] == a[j+1] ) {
// dp[j] + 2 + (va[j+1] == vb[j+1]) - pfb[j+1] + (va[i]==vb[i]) + pfb[i-1]
chmin(dp[i], dp[j] + 2 +
(va[i]==vb[i]) + (va[j+1]==vb[j+1]) + (pfb[i-1] - pfb[j+1]));
}
}
chmin(dp[i], dif[i] + good);
chmin(good, dp[i] - dif[i]);
chmin(bst[ a[i+1] ],
dp[i] + 2 + (va[i+1]==vb[i+1]) - pfb[i+1]);
}
cout << dp[n] / 2 << '\n';
}
Compilation message
lamp.cpp: In function 'int32_t main()':
lamp.cpp:27:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
27 | cin >> n >> a+1 >> b+1;
| ~^~
lamp.cpp:27:22: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
27 | cin >> n >> a+1 >> b+1;
| ~^~
lamp.cpp:66:19: warning: array subscript has type 'char' [-Wchar-subscripts]
66 | chmin(bst[ a[i+1] ],
| ~~~~~^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
0 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
384 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
364 KB |
Output is correct |
30 |
Correct |
1 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
0 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
384 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
364 KB |
Output is correct |
30 |
Correct |
1 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
364 KB |
Output is correct |
35 |
Correct |
5 ms |
492 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
364 KB |
Output is correct |
38 |
Correct |
5 ms |
492 KB |
Output is correct |
39 |
Correct |
5 ms |
492 KB |
Output is correct |
40 |
Correct |
5 ms |
492 KB |
Output is correct |
41 |
Correct |
5 ms |
492 KB |
Output is correct |
42 |
Correct |
4 ms |
492 KB |
Output is correct |
43 |
Correct |
5 ms |
492 KB |
Output is correct |
44 |
Correct |
4 ms |
492 KB |
Output is correct |
45 |
Correct |
4 ms |
492 KB |
Output is correct |
46 |
Correct |
5 ms |
492 KB |
Output is correct |
47 |
Correct |
4 ms |
492 KB |
Output is correct |
48 |
Correct |
5 ms |
492 KB |
Output is correct |
49 |
Correct |
5 ms |
492 KB |
Output is correct |
50 |
Correct |
4 ms |
492 KB |
Output is correct |
51 |
Correct |
5 ms |
492 KB |
Output is correct |
52 |
Correct |
6 ms |
512 KB |
Output is correct |
53 |
Correct |
5 ms |
492 KB |
Output is correct |
54 |
Correct |
5 ms |
492 KB |
Output is correct |
55 |
Correct |
4 ms |
492 KB |
Output is correct |
56 |
Correct |
4 ms |
492 KB |
Output is correct |
57 |
Correct |
4 ms |
492 KB |
Output is correct |
58 |
Correct |
4 ms |
492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
21 ms |
21868 KB |
Output is correct |
8 |
Correct |
21 ms |
21868 KB |
Output is correct |
9 |
Correct |
23 ms |
21868 KB |
Output is correct |
10 |
Correct |
21 ms |
21868 KB |
Output is correct |
11 |
Correct |
20 ms |
21868 KB |
Output is correct |
12 |
Correct |
22 ms |
21868 KB |
Output is correct |
13 |
Correct |
24 ms |
21816 KB |
Output is correct |
14 |
Correct |
25 ms |
21868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
0 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
384 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
364 KB |
Output is correct |
30 |
Correct |
1 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
364 KB |
Output is correct |
35 |
Correct |
5 ms |
492 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
364 KB |
Output is correct |
38 |
Correct |
5 ms |
492 KB |
Output is correct |
39 |
Correct |
5 ms |
492 KB |
Output is correct |
40 |
Correct |
5 ms |
492 KB |
Output is correct |
41 |
Correct |
5 ms |
492 KB |
Output is correct |
42 |
Correct |
4 ms |
492 KB |
Output is correct |
43 |
Correct |
5 ms |
492 KB |
Output is correct |
44 |
Correct |
4 ms |
492 KB |
Output is correct |
45 |
Correct |
4 ms |
492 KB |
Output is correct |
46 |
Correct |
5 ms |
492 KB |
Output is correct |
47 |
Correct |
4 ms |
492 KB |
Output is correct |
48 |
Correct |
5 ms |
492 KB |
Output is correct |
49 |
Correct |
5 ms |
492 KB |
Output is correct |
50 |
Correct |
4 ms |
492 KB |
Output is correct |
51 |
Correct |
5 ms |
492 KB |
Output is correct |
52 |
Correct |
6 ms |
512 KB |
Output is correct |
53 |
Correct |
5 ms |
492 KB |
Output is correct |
54 |
Correct |
5 ms |
492 KB |
Output is correct |
55 |
Correct |
4 ms |
492 KB |
Output is correct |
56 |
Correct |
4 ms |
492 KB |
Output is correct |
57 |
Correct |
4 ms |
492 KB |
Output is correct |
58 |
Correct |
4 ms |
492 KB |
Output is correct |
59 |
Correct |
1 ms |
364 KB |
Output is correct |
60 |
Correct |
1 ms |
384 KB |
Output is correct |
61 |
Correct |
1 ms |
364 KB |
Output is correct |
62 |
Correct |
1 ms |
364 KB |
Output is correct |
63 |
Correct |
1 ms |
364 KB |
Output is correct |
64 |
Correct |
1 ms |
364 KB |
Output is correct |
65 |
Correct |
21 ms |
21868 KB |
Output is correct |
66 |
Correct |
21 ms |
21868 KB |
Output is correct |
67 |
Correct |
23 ms |
21868 KB |
Output is correct |
68 |
Correct |
21 ms |
21868 KB |
Output is correct |
69 |
Correct |
20 ms |
21868 KB |
Output is correct |
70 |
Correct |
22 ms |
21868 KB |
Output is correct |
71 |
Correct |
24 ms |
21816 KB |
Output is correct |
72 |
Correct |
25 ms |
21868 KB |
Output is correct |
73 |
Runtime error |
20 ms |
21868 KB |
Execution failed because the return code was nonzero |
74 |
Halted |
0 ms |
0 KB |
- |