Submission #909898

#	Time	Username	Problem	Language	Result	Execution time	Memory
909898		daoquanglinh2007	Nice sequence (IZhO18_sequence)	C++17	20 / 100	975 ms	4692 KiB

sequence

#include <bits/stdc++.h>
using namespace std;
 
#define int long long
#define isz(a) (int)(a).size()
 
const int NM = 4e5, LIM = 1e9;
 
int T, N, M;
int parent[NM+5], sz[NM+5], f[NM+5];
vector <int> v;
 
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
 
int get_rand(int l, int r){
	int tmp = rng()%(r-l+1);
	if (tmp < 0) tmp += r-l+1;
	return l + tmp;
}
 
void make_set(int v){
	parent[v] = v;
	sz[v] = 1;
}
 
int find_set(int v){
	return parent[v] == v ? v : parent[v] = find_set(parent[v]);
}
 
void union_sets(int u, int v){
	u = find_set(u);
	v = find_set(v);
	if (u == v) return;
	if (sz[u] < sz[v]) swap(u, v);
	parent[v] = u;
	sz[u] += sz[v];
}
 
bool check(int k){
	for (int i = 1; i <= k; i++) make_set(i);
	for (int i = 1; i+N <= k; i++) union_sets(i, i+N);
	for (int i = 1; i+M <= k; i++) union_sets(i, i+M);
	
	for (int i = 1; i <= 5000; i++){
		for (int j = 1; j <= k; j++)
			if (find_set(j) == j){
				while (true){
					f[j] = get_rand(-LIM, LIM);
					if (f[j] != 0) break;
				}
			}
		int sum1 = 0, sum2 = 0;
		for (int j = 1; j <= k; j++){
			if (j <= N) sum1 += f[find_set(j)];
			if (j <= M) sum2 += f[find_set(j)];
		}
		if ((k < N || sum1 < 0) && (k < M || sum2 > 0)){
			v.clear();
			for (int j = 1; j <= k; j++) v.push_back(f[find_set(j)]);
			return 1;
		}
	}
	return 0;
}
 
signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> T;
	while (T--){
		cin >> N >> M;
		if (N%M == 0){
			cout << N-1 << '\n';
			for (int i = 1; i < N; i++) cout << 1 << ' ';
			cout << '\n';
			continue;
		}
		if (M%N == 0){
			cout << M-1 << '\n';
			for (int i = 1; i < M; i++) cout << -1 << ' ';
			cout << '\n';
			continue;
		}
		
		int l = max(N, M)-1, r = N+M-2, res = -1;
		while (l <= r){
			int mid = (l+r)/2;
			if (check(mid)){
				res = mid;
				l = mid+1;
			}
			else r = mid-1;
		}
		check(res);
		
		cout << res << '\n';
		for (int x : v) cout << x << ' ';
		cout << '\n';
	}
	return 0;
}

• Subtask 1: 6 / 6
• Subtask 2: 0 / 9
• Subtask 3: 14 / 14
• Subtask 4: 0 / 15
• Subtask 5: 0 / 14
• Subtask 6: 0 / 18
• Subtask 7: 0 / 24