Submission #507031

#	Time	Username	Problem	Language	Result	Execution time	Memory
507031		abc864197532	Longest beautiful sequence (IZhO17_subsequence)	C++17	23 / 100	226 ms	123512 KiB

subsequence

#include <bits/stdc++.h>
using namespace std;
#define lli long long int
#define mp make_pair
#define eb emplace_back
#define pb push_back
#define X first
#define Y second
#define pii pair<int, int>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
void abc() {cout << endl;}
template <typename T, typename ...U> void abc(T i, U ...j) {
	cout << i << ' ', abc(j...);
}
template <typename T> void printv(T l, T r) {
	for (; l != r; ++l)
		cout << *l << " \n"[l + 1 == r];
}
#define test(x...) abc("[" + string(#x) + "]", x);
const int N = 200000;

int main () {
	ios::sync_with_stdio(false);
	cin.tie(0);
	int n;
	cin >> n;
	int C = 1000, K = 8;
	if (n <= 5000)
		C = 5000, K = 20;
	vector <int> a(n), k(n);
	for (int i = 0; i < n; ++i)
		cin >> a[i];
	for (int i = 0; i < n; ++i)
		cin >> k[i], k[i] = min(k[i], K);
	vector <int> dp(n, 1), bck(n, -1);
	vector <vector <int>> tmp(1 << K, vector <int> (K + 1, -1));
	auto upd = [&](int &i, int j) {
		if (i == -1)
			i = j;
		else if (dp[i] < dp[j])
			i = j;
	};
	auto rebuild = [&](int to) {
		tmp = vector <vector <int>> (1 << K, vector <int> (K + 1, -1));
		for (int i = 0; i < to; ++i) {
			int x = __builtin_popcount(a[i]);
			upd(tmp[a[i]][x], i);
		}
		for (int cnt = 1; cnt <= K; ++cnt) {
			for (int i = 0; i < K; ++i) {
				for (int s = 0; s < 1 << K; ++s) {
					if (s >> i & 1) {
						upd(tmp[s][cnt], tmp[s ^ (1 << i)][cnt - 1]);
					} else {
						upd(tmp[s][cnt], tmp[s][cnt]);
					}
				}
			}
		}
	};
	for (int i = 0; i < n; i += C) {
		int to = min(i + C, n);
		for (int j = i; j < to; ++j) {
			if (tmp[a[j]][k[j]] != -1 && dp[j] < dp[tmp[a[j]][k[j]]] + 1)
				dp[j] = dp[tmp[a[j]][k[j]]] + 1, bck[j] = tmp[a[j]][k[j]];
		}
		for (int j = i; j < to; ++j) {
			for (int ii = i; ii < j; ++ii) {
				if (__builtin_popcount(a[ii] & a[j]) == k[j] && dp[j] < dp[ii] + 1)
					dp[j] = dp[ii] + 1, bck[j] = ii;
			}
		}
		if (to != n)
			rebuild(to);
	}
	int mx = max_element(all(dp)) - dp.begin();
	cout << dp[mx] << endl;
	vector <int> ans;
	while (mx != -1) {
		ans.pb(mx + 1);
		mx = bck[mx];
	}
	reverse(all(ans));
	printv(all(ans));
}

/*
5
5 3 5 3 5
10 1 20 1 20

4
1 2 3 4
10 0 1 0
*/

• Subtask 1: 7 / 7
• Subtask 2: 16 / 16
• Subtask 3: 0 / 17
• Subtask 4: 0 / 60