#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define pii pair<ll, ll>
#define fi first
#define se second
const ll N = 1e6 + 5, inf = 1e9, mod = 1e9 + 7, block = 320, lim = 20;
int n;
pii a[N];
string convert(int x) {
string s = "";
while(x > 0) {
int val = x % 2;
s += to_string(val);
x /= 2;
}
reverse(s.begin(), s.end());
return s;
}
int reconvert(string s) {
reverse(s.begin(), s.end());
int tt = 0;
for (int i = 0; i < s.size(); i++) {
int val = s[i] - '0';
tt += val * (1ll << i);
}
return tt;
}
namespace sub1 {
map <int, int> cnt1, cnt2; // hang, cot
int cal(int mask) {
cnt1.clear(), cnt2.clear();
for (int i = 0; i < n; i++) {
if ((mask >> i) & 1) {
cnt1[a[i].fi]++, cnt2[a[i].se]++;
if (cnt1[a[i].fi] > 2 || cnt2[a[i].se] > 2) return 0;
}
}
for (int i = 0; i < n; i++) {
if ((mask >> i) & 1) continue;
else {
int okL = 0, okR = 0;
for (int j = 0; j < n; j++) { // xet 2 hang ngang
if ((mask >> j) & 1) {
if (a[j].fi == a[i].fi && a[j].se < a[i].se) okL = 1;
if (a[j].fi == a[i].fi && a[j].se > a[i].se) okR = 1;
}
}
if (okL && okR) continue;
int okU = 0, okD = 0;
for (int j = 0; j < n; j++) { // xet 2 hang doc
if ((mask >> j) & 1) {
if (a[j].se == a[i].se && a[j].fi < a[i].fi) okU = 1;
if (a[j].se == a[i].se && a[j].fi > a[i].fi) okD = 1;
}
}
if (okU && okD) continue;
return 0;
}
}
return 1;
}
void solve() {
// cout << reconvert("101010101") << '\n';
for (int mask = 0; mask < (1 << n); mask++) {
// cout << mask << '\n';
// if (mask == 341) cout << cal(mask) << '\n';
if (cal(mask)) {
for (int i = 0; i < n; i++) {
if ((mask >> i) & 1) cout << 1;
else cout << 0;
}
return;
}
}
}
}
namespace sub2 {
vector <pii> pre[N];
int On[N];
void solve() { // for qua tat ca cac cot
vector <int> comp;
for (int i = 0; i < n; i++) {
pre[a[i].se].emplace_back(a[i].fi, i);
comp.push_back(a[i].se);
}
sort(comp.begin(), comp.end());
comp.erase(unique(comp.begin(), comp.end()), comp.end());
for (int i = 0; i < comp.size(); i++) {
int idx = comp[i];
sort(pre[idx].begin(), pre[idx].end());
}
for (int i = 0; i < comp.size(); i++) {
int idx = comp[i];
if (pre[idx].size() == 1) {
On[pre[idx].back().se] = 1;
continue;
}
else {
int L = pre[idx][0].se;
int R = pre[idx].back().se;
On[L] = 1, On[R] = 1;
continue;
}
}
for (int i = 0; i < n; i++) cout << On[i];
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
if (fopen("slamp.inp", "r")) {
freopen("slamp.inp", "r", stdin);
freopen("slamp.out", "w", stdout);
}
cin >> n;
for (int i = 0; i < n; i++) cin >> a[i].fi >> a[i].se;
// sub2::solve(); return 0;
if (n <= 16) {
sub1::solve();
}
else sub2::solve();
return 0;
}
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:122:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
122 | freopen("slamp.inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:123:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
123 | freopen("slamp.out", "w", stdout);
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