Codeforces-solutions/Codeforces Round 1034 (Div. 3)/C. Prefix Min and Suffix Max.cpp
2025-09-12 14:50:25 -03:00

154 lines
3.5 KiB
C++

/* Problem URL: https://codeforces.com/contest/2123/problem/C */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t;
cin >> t;
while (t--) {
int n;
cin >> n;
vi fds(n);
cin >> fds;
while (__builtin_popcount(fds.size()) != 1) {
fds.push_back(0);
}
auto comp = [&](pair<int, int> a, pair<int, int> b) {
return make_pair(max(a.first, b.first), min(a.second, b.second));
};
V<pair<int, int>> seg(fds.size() * 2);
for (int i = fds.size(); i < fds.size() * 2; i++) {
seg[i] = {fds[i - fds.size()], fds[i - fds.size()]};
}
for (int i = fds.size() - 1; i > 0; i--) {
seg[i] = comp(seg[i * 2], seg[i * 2 + 1]);
}
function<pair<int, int>(int, int, int, int, int)> search = [&](int i, int l, int r, int tl, int tr) -> pair<int, int> {
if (l > tr || r < tl) {
return {-1, 1e9};
}
if (l >= tl && r <= tr) {
return seg[i];
}
int mid = (l + r) / 2;
return comp(search(i * 2, l, mid, tl, tr), search(i * 2 + 1, mid + 1, r, tl, tr));
};
rep(i, n) {
auto [lmax, lmin] = search(1, 0, fds.size() - 1, 0, i - 1);
auto [rmax, rmin] = search(1, 0, fds.size() - 1, i + 1, n - 1);
int now = fds[i];
if (now < lmin && now < rmin) {
cout << "1";
continue;
}
if (now > lmax && now > rmax) {
cout << "1";
continue;
}
if (now < rmax && now < lmin) {
cout << "1";
continue;
}
if (now > rmax && now > lmin) {
cout << "1";
continue;
}
if (now > rmax && now < lmin) {
cout << "1";
continue;
}
cout << "0";
}
cout << "\n";
}
}