| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 377176 |
2021-03-13T08:03:00 Z |
8e7 |
Lamps (JOI19_lamps) |
C++14 |
|
43 ms |
39740 KB |
//Challenge: Accepted
#include <iostream>
#include <algorithm>
#include <vector>
#include <utility>
#define ll long long
#define maxn 1000005
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
using namespace std;
string sa, sb;
int a[maxn], b[maxn], pref[maxn], diff[maxn], pdif[maxn];
int dp[maxn];
int mi[maxn], m0[maxn], m1[maxn];
inline int seg(int l, int r) {
if (l > r) return 0;
return pref[r] - (l ? pref[l - 1] : 0);
}
int main() {
io
int n;
cin >> n;
cin >> sa >> sb;
sa += '0', sb += '0';
reverse(sa.begin(), sa.end());
reverse(sb.begin(), sb.end());
sa += '0', sb += '0';
n += 2;
for (int i = 0;i < n;i++) {
a[i] = (sa[i] == '1') ^ (i ? (sa[i - 1] == '1') : 0);
b[i] = (sb[i] == '1') ^ (i ? (sb[i - 1] == '1') : 0);
diff[i] = a[i] ^ b[i];
pref[i] = (b[i] == 1 ? 1 : 0) + (i ? pref[i - 1] : 0);
pdif[i] = diff[i] + (i ? pdif[i - 1] : 0);
//cout << pref[i] << " " << pdif[i] << endl;
}
for (int i = 0;i < n;i++) {
dp[i] = pdif[i] + (i ? mi[i - 1] : 0);
if (i > 1) {
dp[i] = min(dp[i], dp[i - 2] + 4 - diff[i] - diff[i + 1]);
}
if (i > 2) {
if (sa[i - 1] == '0') dp[i] = min(dp[i], 4 - diff[i] + pref[i - 1] + m0[i - 3]);
else dp[i] = min(dp[i], 4 - diff[i] + pref[i - 1] + m1[i - 3]);
}
/*
for (int j = 0;j < i;j++) {
if (j < i - 1 && sa[j + 1] == sa[i - 1]) { //l == j + 1, r == i - 1;
dp[i] = min(dp[i], dp[j] + 4 - (diff[i] + diff[j + 1]) + seg(j + 2, i - 1));
}
}
*/
//cout << dp[i] << " ";
mi[i] = min(dp[i] - pdif[i], i ? mi[i - 1] : 1<<30);
if (i < n) {
m0[i] = (i ? m0[i - 1] : 1<<30);
m1[i] = (i ? m1[i - 1] : 1<<30);
if (sa[i + 1] == '0') m0[i] = min(m0[i], dp[i] - diff[i + 1] - pref[i + 1]);
else m1[i] = min(m1[i], dp[i] - diff[i + 1] - pref[i + 1]);
}
}
//cout << endl;
cout << (dp[n - 1] + 1) / 2 << "\n";
}
/*
8
11011100
01101001
13
1010010010100
0000111001011
18
001100010010000110
110110001000100101
*/
| # |
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 |
1 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 |
384 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 |
384 KB |
Output is correct |
| 16 |
Correct |
1 ms |
376 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 |
384 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 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 |
508 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 |
384 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 |
1 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 |
384 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 |
384 KB |
Output is correct |
| 16 |
Correct |
1 ms |
376 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 |
384 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 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 |
508 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 |
384 KB |
Output is correct |
| 35 |
Correct |
1 ms |
492 KB |
Output is correct |
| 36 |
Correct |
1 ms |
620 KB |
Output is correct |
| 37 |
Correct |
1 ms |
492 KB |
Output is correct |
| 38 |
Correct |
1 ms |
492 KB |
Output is correct |
| 39 |
Correct |
1 ms |
492 KB |
Output is correct |
| 40 |
Correct |
1 ms |
492 KB |
Output is correct |
| 41 |
Correct |
1 ms |
492 KB |
Output is correct |
| 42 |
Correct |
1 ms |
492 KB |
Output is correct |
| 43 |
Correct |
1 ms |
492 KB |
Output is correct |
| 44 |
Correct |
1 ms |
492 KB |
Output is correct |
| 45 |
Correct |
1 ms |
492 KB |
Output is correct |
| 46 |
Correct |
1 ms |
492 KB |
Output is correct |
| 47 |
Correct |
1 ms |
492 KB |
Output is correct |
| 48 |
Correct |
1 ms |
492 KB |
Output is correct |
| 49 |
Correct |
1 ms |
492 KB |
Output is correct |
| 50 |
Correct |
1 ms |
492 KB |
Output is correct |
| 51 |
Correct |
1 ms |
492 KB |
Output is correct |
| 52 |
Correct |
1 ms |
492 KB |
Output is correct |
| 53 |
Correct |
1 ms |
492 KB |
Output is correct |
| 54 |
Correct |
1 ms |
492 KB |
Output is correct |
| 55 |
Correct |
1 ms |
492 KB |
Output is correct |
| 56 |
Correct |
1 ms |
492 KB |
Output is correct |
| 57 |
Correct |
1 ms |
492 KB |
Output is correct |
| 58 |
Correct |
1 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 |
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 |
33 ms |
37692 KB |
Output is correct |
| 8 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 9 |
Correct |
35 ms |
39612 KB |
Output is correct |
| 10 |
Correct |
34 ms |
39640 KB |
Output is correct |
| 11 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 12 |
Correct |
37 ms |
39612 KB |
Output is correct |
| 13 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 14 |
Correct |
33 ms |
39612 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 |
1 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 |
384 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 |
384 KB |
Output is correct |
| 16 |
Correct |
1 ms |
376 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 |
384 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 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 |
508 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 |
384 KB |
Output is correct |
| 35 |
Correct |
1 ms |
492 KB |
Output is correct |
| 36 |
Correct |
1 ms |
620 KB |
Output is correct |
| 37 |
Correct |
1 ms |
492 KB |
Output is correct |
| 38 |
Correct |
1 ms |
492 KB |
Output is correct |
| 39 |
Correct |
1 ms |
492 KB |
Output is correct |
| 40 |
Correct |
1 ms |
492 KB |
Output is correct |
| 41 |
Correct |
1 ms |
492 KB |
Output is correct |
| 42 |
Correct |
1 ms |
492 KB |
Output is correct |
| 43 |
Correct |
1 ms |
492 KB |
Output is correct |
| 44 |
Correct |
1 ms |
492 KB |
Output is correct |
| 45 |
Correct |
1 ms |
492 KB |
Output is correct |
| 46 |
Correct |
1 ms |
492 KB |
Output is correct |
| 47 |
Correct |
1 ms |
492 KB |
Output is correct |
| 48 |
Correct |
1 ms |
492 KB |
Output is correct |
| 49 |
Correct |
1 ms |
492 KB |
Output is correct |
| 50 |
Correct |
1 ms |
492 KB |
Output is correct |
| 51 |
Correct |
1 ms |
492 KB |
Output is correct |
| 52 |
Correct |
1 ms |
492 KB |
Output is correct |
| 53 |
Correct |
1 ms |
492 KB |
Output is correct |
| 54 |
Correct |
1 ms |
492 KB |
Output is correct |
| 55 |
Correct |
1 ms |
492 KB |
Output is correct |
| 56 |
Correct |
1 ms |
492 KB |
Output is correct |
| 57 |
Correct |
1 ms |
492 KB |
Output is correct |
| 58 |
Correct |
1 ms |
492 KB |
Output is correct |
| 59 |
Correct |
1 ms |
364 KB |
Output is correct |
| 60 |
Correct |
1 ms |
364 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 |
33 ms |
37692 KB |
Output is correct |
| 66 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 67 |
Correct |
35 ms |
39612 KB |
Output is correct |
| 68 |
Correct |
34 ms |
39640 KB |
Output is correct |
| 69 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 70 |
Correct |
37 ms |
39612 KB |
Output is correct |
| 71 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 72 |
Correct |
33 ms |
39612 KB |
Output is correct |
| 73 |
Correct |
41 ms |
39612 KB |
Output is correct |
| 74 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 75 |
Correct |
35 ms |
39612 KB |
Output is correct |
| 76 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 77 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 78 |
Correct |
35 ms |
39612 KB |
Output is correct |
| 79 |
Correct |
37 ms |
39612 KB |
Output is correct |
| 80 |
Correct |
35 ms |
39740 KB |
Output is correct |
| 81 |
Correct |
42 ms |
39632 KB |
Output is correct |
| 82 |
Correct |
34 ms |
39612 KB |
Output is correct |
| 83 |
Correct |
38 ms |
39612 KB |
Output is correct |
| 84 |
Correct |
38 ms |
39612 KB |
Output is correct |
| 85 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 86 |
Correct |
38 ms |
39612 KB |
Output is correct |
| 87 |
Correct |
39 ms |
39660 KB |
Output is correct |
| 88 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 89 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 90 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 91 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 92 |
Correct |
40 ms |
39612 KB |
Output is correct |
| 93 |
Correct |
40 ms |
39612 KB |
Output is correct |
| 94 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 95 |
Correct |
40 ms |
39740 KB |
Output is correct |
| 96 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 97 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 98 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 99 |
Correct |
41 ms |
39612 KB |
Output is correct |
| 100 |
Correct |
39 ms |
39612 KB |
Output is correct |
| 101 |
Correct |
43 ms |
39612 KB |
Output is correct |
| 102 |
Correct |
41 ms |
39612 KB |
Output is correct |
