Submission #471858

# Submission time Handle Problem Language Result Execution time Memory
471858 2021-09-11T09:11:48 Z prvocislo Lamps (JOI19_lamps) C++17
100 / 100
883 ms 113964 KB
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
#include <map>
#include <queue>
typedef long long ll;
using namespace std;

const int inf = 1e9 + 5, di = 3, cnt = 1 << (2 * di);
void upd(int& a, const int& b) { a = min(a, b); }
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	int n;
	string sa, sb;
	cin >> n >> sa >> sb;
	vector<int> a, b;
	for (int i = 0; i < n; i++) a.push_back(sa[i] == '1');
	for (int i = 0; i < n; i++) b.push_back(sb[i] == '1');
	vector<int> c(cnt), v, num(cnt, -1);
	for (int i = 0; i < cnt; i++)
	{
		int k = 0;
		vector<int> f(4);
		for (int j = 0; j < di; j++)
		{
			int val = (i >> (2 * j)) & 3;
			if (val) c[i] |= val << (k * 2), k++, f[val]++;
		}
		if (*max_element(f.begin(), f.end()) <= 1 && c[i] == i) 
			num[i] = v.size(), v.push_back(i);
	}
	vector<vector<int> > dp(n + 1, vector<int>(v.size(), inf));
	dp[0][0] = 0;
	for (int i = 0; i < n; i++)
	{
		// ideme ukoncit par zmien - naraz vzdy len jednu
		for (int j = v.size() - 1; j >= 0; j--) for (int k = 0; k < di; k++)
		{
			int mask = (cnt - 1) ^ (3 << (2 * k)), nw = num[c[mask & v[j]]];
			if (nw != -1) upd(dp[i][nw], dp[i][j]);
		}
		// ideme vytvorit par zmien
		for (int j = 0; j < v.size(); j++) for (int k = 0; k < di; k++)
		{
			int mask = (cnt - 1) ^ (3 << (2 * k)), nw = num[c[mask & v[j]]];
			if (nw != -1) upd(dp[i][j], dp[i][nw] + 1);
		}
		// ideme na dalsi prvok
		for (int j = 0; j < v.size(); j++)
		{
			int val = a[i];
			for (int k = 0; k < di; k++)
			{
				int d = (v[j] >> (2 * k)) & 3;
				if (d == 1) val = !val;
				if (d == 2) val = 0;
				if (d == 3) val = 1;
			}
			if (val == b[i]) upd(dp[i + 1][j], dp[i][j]);
		}
	}
	int ans = inf;
	for (int i = 0; i < v.size(); i++) upd(ans, dp[n][i]);
	cout << ans << "\n";
	return 0;
}

Compilation message

lamp.cpp: In function 'int main()':
lamp.cpp:46:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   46 |   for (int j = 0; j < v.size(); j++) for (int k = 0; k < di; k++)
      |                   ~~^~~~~~~~~~
lamp.cpp:52:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   52 |   for (int j = 0; j < v.size(); j++)
      |                   ~~^~~~~~~~~~
lamp.cpp:66:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   66 |  for (int i = 0; i < v.size(); i++) upd(ans, dp[n][i]);
      |                  ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 312 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 312 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 312 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 312 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 312 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 308 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 312 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 312 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 312 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 312 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 312 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 308 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 3 ms 460 KB Output is correct
36 Correct 3 ms 460 KB Output is correct
37 Correct 2 ms 460 KB Output is correct
38 Correct 2 ms 460 KB Output is correct
39 Correct 2 ms 536 KB Output is correct
40 Correct 2 ms 460 KB Output is correct
41 Correct 2 ms 460 KB Output is correct
42 Correct 2 ms 460 KB Output is correct
43 Correct 2 ms 460 KB Output is correct
44 Correct 2 ms 440 KB Output is correct
45 Correct 2 ms 460 KB Output is correct
46 Correct 2 ms 460 KB Output is correct
47 Correct 2 ms 460 KB Output is correct
48 Correct 2 ms 460 KB Output is correct
49 Correct 2 ms 460 KB Output is correct
50 Correct 2 ms 460 KB Output is correct
51 Correct 2 ms 460 KB Output is correct
52 Correct 2 ms 460 KB Output is correct
53 Correct 2 ms 460 KB Output is correct
54 Correct 3 ms 460 KB Output is correct
55 Correct 2 ms 460 KB Output is correct
56 Correct 2 ms 444 KB Output is correct
57 Correct 2 ms 460 KB Output is correct
58 Correct 2 ms 464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 803 ms 112764 KB Output is correct
8 Correct 883 ms 113964 KB Output is correct
9 Correct 869 ms 113836 KB Output is correct
10 Correct 860 ms 113832 KB Output is correct
11 Correct 855 ms 113836 KB Output is correct
12 Correct 813 ms 113824 KB Output is correct
13 Correct 811 ms 113832 KB Output is correct
14 Correct 814 ms 113828 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 312 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 312 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 312 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 312 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 312 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 308 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 3 ms 460 KB Output is correct
36 Correct 3 ms 460 KB Output is correct
37 Correct 2 ms 460 KB Output is correct
38 Correct 2 ms 460 KB Output is correct
39 Correct 2 ms 536 KB Output is correct
40 Correct 2 ms 460 KB Output is correct
41 Correct 2 ms 460 KB Output is correct
42 Correct 2 ms 460 KB Output is correct
43 Correct 2 ms 460 KB Output is correct
44 Correct 2 ms 440 KB Output is correct
45 Correct 2 ms 460 KB Output is correct
46 Correct 2 ms 460 KB Output is correct
47 Correct 2 ms 460 KB Output is correct
48 Correct 2 ms 460 KB Output is correct
49 Correct 2 ms 460 KB Output is correct
50 Correct 2 ms 460 KB Output is correct
51 Correct 2 ms 460 KB Output is correct
52 Correct 2 ms 460 KB Output is correct
53 Correct 2 ms 460 KB Output is correct
54 Correct 3 ms 460 KB Output is correct
55 Correct 2 ms 460 KB Output is correct
56 Correct 2 ms 444 KB Output is correct
57 Correct 2 ms 460 KB Output is correct
58 Correct 2 ms 464 KB Output is correct
59 Correct 1 ms 204 KB Output is correct
60 Correct 0 ms 204 KB Output is correct
61 Correct 1 ms 204 KB Output is correct
62 Correct 1 ms 204 KB Output is correct
63 Correct 1 ms 204 KB Output is correct
64 Correct 1 ms 204 KB Output is correct
65 Correct 803 ms 112764 KB Output is correct
66 Correct 883 ms 113964 KB Output is correct
67 Correct 869 ms 113836 KB Output is correct
68 Correct 860 ms 113832 KB Output is correct
69 Correct 855 ms 113836 KB Output is correct
70 Correct 813 ms 113824 KB Output is correct
71 Correct 811 ms 113832 KB Output is correct
72 Correct 814 ms 113828 KB Output is correct
73 Correct 824 ms 113908 KB Output is correct
74 Correct 825 ms 113836 KB Output is correct
75 Correct 845 ms 113832 KB Output is correct
76 Correct 835 ms 113868 KB Output is correct
77 Correct 856 ms 113836 KB Output is correct
78 Correct 839 ms 113832 KB Output is correct
79 Correct 838 ms 113832 KB Output is correct
80 Correct 838 ms 113836 KB Output is correct
81 Correct 862 ms 113892 KB Output is correct
82 Correct 842 ms 113832 KB Output is correct
83 Correct 836 ms 113852 KB Output is correct
84 Correct 825 ms 113732 KB Output is correct
85 Correct 823 ms 113828 KB Output is correct
86 Correct 825 ms 113832 KB Output is correct
87 Correct 842 ms 113880 KB Output is correct
88 Correct 828 ms 113828 KB Output is correct
89 Correct 849 ms 113932 KB Output is correct
90 Correct 832 ms 113828 KB Output is correct
91 Correct 863 ms 113828 KB Output is correct
92 Correct 835 ms 113828 KB Output is correct
93 Correct 862 ms 113828 KB Output is correct
94 Correct 832 ms 113832 KB Output is correct
95 Correct 822 ms 113724 KB Output is correct
96 Correct 837 ms 113792 KB Output is correct
97 Correct 830 ms 113908 KB Output is correct
98 Correct 866 ms 113832 KB Output is correct
99 Correct 825 ms 113828 KB Output is correct
100 Correct 823 ms 113832 KB Output is correct
101 Correct 864 ms 113828 KB Output is correct
102 Correct 853 ms 113920 KB Output is correct