oj.uz

Submission #911219

# Submission time Handle Problem Language Result Execution time Memory
911219 2024-01-18T16:05:03 Z daoquanglinh2007 "The Lyuboyn" code (IZhO19_lyuboyn) C++17
100 / 100
 186 ms 9688 KB 
#include <bits/stdc++.h>
using namespace std;

#define flipbit(x, i) x ^= (1<<(i))

const int a[] = {0, 1, 3, 2, 6, 7, 5, 4};

string bS;
int N, K, S, T;
vector <int> v, ans;
int cnt[262144];

vector <int> build(int N){
	if (N == 1){
		vector <int> ans = {0, 1};
		return ans;
	}
	vector <int> a = build(N-1);
	for (int i = 0; i < (1<<(N-1)); i++){
		a.push_back((1<<(N-1))+a[(1<<(N-1))-1-i]);
	}
	return a;
}

vector <int> solve(int N, int K){
	v = build(N);
	ans.clear();
	ans.push_back(0);
	for (int i = 1; i < (1<<N); i++){
		ans.push_back(ans[i-1]);
		for (int j = 0; j < N; j++)
			if (((v[i]^v[i-1])>>j)&1){
				for (int t = 0; t < K; t++)
					flipbit(ans[i], (j+t)%N);
			}
	}
	for (int i = 0; i < (1<<N); i++) cnt[i] = 0;
	bool ok = 1;
	for (int x : ans){
		if (cnt[x]){
			ok = 0;
			break;
		}
		cnt[x]++;
	}
	if (ok){
		return ans;
	}
	if (K%2 == 0) return {};
	if (N == 2*K){
		vector <int> tmp = solve(N-2, K), ans(0);
		for (int i = 0; i < (1<<N); i++){
			if (i == 0){
				ans.push_back(0);
				continue;
			}
			if (i&1) ans.push_back(ans.back()^((1<<K)-1));
			else if (i&3) ans.push_back(ans.back()^((1<<N)-(1<<K)));
			else ans.push_back(ans.back()^(tmp[i/4]<<1)^(tmp[i/4-1]<<1));
		}
		return ans;
	}
	if (K == 3){
		vector <int> tmp = solve(N-3, 3), ans = tmp;
		for (int i = 1; i < 8; i++){
			int x = ans.back()&((1<<(N-3))-1);
			x ^= (1<<(N-4))+(1<<(N-5));
			for (int j = 0; j < (1<<(N-3)); j++)
				ans.push_back((a[i]<<(N-3))+(x^tmp[j]));
		}
		return ans;
	}
	return {};
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin >> N >> K >> T >> bS;
	for (int i = 0; i < N; i++)
		if (bS[i] == '1') S += (1<<(N-1-i));
		
	vector <int> ans = solve(N, K);
	if (ans.empty()){
		cout << "-1\n";
		return 0;
	}
	cout << (1<<N) << '\n';
	for (int &x : ans){
		x ^= S;
		for (int i = N-1; i >= 0; i--)
			cout << ((x>>i)&1);
		cout << '\n';
	}
	return 0;
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Ok

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Ok

Subtask #3
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Ok
2 Correct 22 ms 3592 KB Ok
3 Correct 8 ms 2144 KB Ok
4 Correct 1 ms 344 KB Ok
5 Correct 1 ms 348 KB Ok
6 Correct 1 ms 348 KB Ok
7 Correct 1 ms 344 KB Ok
8 Correct 9 ms 2144 KB Ok

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 9456 KB Ok
2 Correct 82 ms 5048 KB Ok
3 Correct 1 ms 348 KB Ok
4 Correct 0 ms 348 KB Ok
5 Correct 1 ms 348 KB Ok

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Ok
2 Correct 4 ms 604 KB Ok
3 Correct 79 ms 4888 KB Ok
4 Correct 44 ms 2700 KB Ok
5 Correct 1 ms 344 KB Ok
6 Correct 1 ms 348 KB Ok
7 Correct 18 ms 1504 KB Ok
8 Correct 1 ms 348 KB Ok

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 170 ms 9544 KB Ok
2 Correct 165 ms 9688 KB Ok
3 Correct 180 ms 9476 KB Ok
4 Correct 84 ms 4880 KB Ok
5 Correct 77 ms 4780 KB Ok
6 Correct 38 ms 2640 KB Ok
7 Correct 45 ms 2640 KB Ok
8 Correct 18 ms 1504 KB Ok
9 Correct 19 ms 1624 KB Ok
10 Correct 9 ms 856 KB Ok
11 Correct 1 ms 348 KB Ok
12 Correct 1 ms 348 KB Ok
13 Correct 0 ms 348 KB Ok

Subtask #7
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 9456 KB Ok
2 Correct 82 ms 5048 KB Ok
3 Correct 1 ms 348 KB Ok
4 Correct 0 ms 348 KB Ok
5 Correct 1 ms 348 KB Ok
6 Correct 1 ms 344 KB Ok
7 Correct 4 ms 604 KB Ok
8 Correct 79 ms 4888 KB Ok
9 Correct 44 ms 2700 KB Ok
10 Correct 1 ms 344 KB Ok
11 Correct 1 ms 348 KB Ok
12 Correct 18 ms 1504 KB Ok
13 Correct 1 ms 348 KB Ok
14 Correct 170 ms 9544 KB Ok
15 Correct 165 ms 9688 KB Ok
16 Correct 180 ms 9476 KB Ok
17 Correct 84 ms 4880 KB Ok
18 Correct 77 ms 4780 KB Ok
19 Correct 38 ms 2640 KB Ok
20 Correct 45 ms 2640 KB Ok
21 Correct 18 ms 1504 KB Ok
22 Correct 19 ms 1624 KB Ok
23 Correct 9 ms 856 KB Ok
24 Correct 1 ms 348 KB Ok
25 Correct 1 ms 348 KB Ok
26 Correct 0 ms 348 KB Ok
27 Correct 179 ms 9584 KB Ok
28 Correct 96 ms 4952 KB Ok
29 Correct 176 ms 9556 KB Ok
30 Correct 9 ms 856 KB Ok
31 Correct 1 ms 348 KB Ok
32 Correct 5 ms 604 KB Ok
33 Correct 20 ms 1588 KB Ok
34 Correct 1 ms 348 KB Ok
35 Correct 0 ms 392 KB Ok
36 Correct 1 ms 348 KB Ok
37 Correct 1 ms 344 KB Ok
38 Correct 85 ms 4988 KB Ok

Subtask #8
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 86 ms 4840 KB Ok
2 Correct 181 ms 9524 KB Ok
3 Correct 186 ms 9608 KB Ok
4 Correct 9 ms 860 KB Ok
5 Correct 1 ms 348 KB Ok
6 Correct 20 ms 1620 KB Ok
7 Correct 165 ms 9512 KB Ok
8 Correct 1 ms 348 KB Ok
9 Correct 0 ms 600 KB Ok
10 Correct 1 ms 344 KB Ok
11 Correct 41 ms 2732 KB Ok
12 Correct 84 ms 4948 KB Ok