#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int mxn = 9 + 1e6;
const int inf = 0x3f3f3f3f;
const ll lnf = 0x3f3f3f3f3f3f3f3f;
int n;
vector<array<int, 2>> light;
namespace SUB12 {
bool check() {
return (n <= 16);
}
void solve() {
vector<int> mx_x(mxn, 0), mx_y(mxn, 0), mn_x(mxn, inf), mn_y(mxn, inf);
vector<int> cnt_x(mxn, 0), cnt_y(mxn, 0);
for (int msk = 0; msk < (1 << n); ++msk) {
bool f = true;
for (int i = 0; i < n; ++i) {
if (msk >> i & 1) {
mx_x[light[i][1]] = max(mx_x[light[i][1]], light[i][0]);
mn_x[light[i][1]] = min(mn_x[light[i][1]], light[i][0]);
mx_y[light[i][0]] = max(mx_y[light[i][0]], light[i][1]);
mn_y[light[i][0]] = min(mn_y[light[i][0]], light[i][1]);
if ((++cnt_x[light[i][0]]) > 2) {
f = false;
break;
}
if ((++cnt_y[light[i][1]]) > 2) {
f = false;
break;
}
}
}
if (!f) {
for (int i = 0; i < n; ++i) {
if (msk >> i & 1) {
mx_x[light[i][1]] = 0;
mn_x[light[i][1]] = inf;
mx_y[light[i][0]] = 0;
mn_y[light[i][0]] = inf;
cnt_x[light[i][0]] = 0;
cnt_y[light[i][1]] = 0;
}
}
continue;
}
f = true;
for (int i = 0; i < n; ++i) {
if (!(mn_x[light[i][1]] <= light[i][0] && light[i][0] <= mx_x[light[i][1]]) && !(mn_y[light[i][0]] <= light[i][1] && light[i][1] <= mx_y[light[i][0]])) {
f = false;
break;
}
}
if (f) {
for (int i = 0; i < n; ++i) {
if (msk >> i & 1) {
cout << 1;
} else {
cout << 0;
}
}
cout << "\n";
return;
}
for (int i = 0; i < n; ++i) {
if (msk >> i & 1) {
mx_x[light[i][1]] = 0;
mn_x[light[i][1]] = inf;
mx_y[light[i][0]] = 0;
mn_y[light[i][0]] = inf;
cnt_x[light[i][0]] = 0;
cnt_y[light[i][1]] = 0;
}
}
}
}
}
namespace SUB3 {
bool check() {
vector<int> cnt(mxn);
for (int i = 0; i < n; ++i) {
if ((++cnt[light[i][0]]) > 2) {
return false;
}
}
return true;
}
void solve() {
vector<int> mn_x(mxn, inf), mx_x(mxn, 0), posmn_x(mxn), posmx_x(mxn);
for (int i = 0; i < n; ++i) {
if (mn_x[light[i][1]] > light[i][0]) {
mn_x[light[i][1]] = light[i][0];
posmn_x[light[i][1]] = i;
}
if (mx_x[light[i][1]] < light[i][0]) {
mx_x[light[i][1]] = light[i][0];
posmx_x[light[i][1]] = i;
}
}
vector<bool> used(n + 1);
for (int i = 1; i < mxn; ++i) {
if (mn_x[i] == inf) {
continue;
}
used[posmn_x[i]] = used[posmx_x[i]] = true;
}
for (int i = 0; i < n; ++i) {
cout << used[i];
}
}
}
void _27augain(void) {
cin >> n;
light.resize(n);
for (int i = 0; i < n; ++i) {
cin >> light[i][0] >> light[i][1];
}
if (SUB12::check()) {
SUB12::solve();
return;
}
SUB3::solve();
}
int32_t main() {
#define TASK "SLAMP"
cin.tie(0)->sync_with_stdio(0);
if (fopen(TASK ".inp", "r")) {
freopen(TASK ".inp", "r", stdin);
freopen(TASK ".out", "w", stdout);
}
int testcase = 1;
// cin >> testcase;
while (testcase--) {
_27augain();
}
return 0;
}
Compilation message (stderr)
Main.cpp: In function 'int32_t main()':
Main.cpp:137:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
137 | freopen(TASK ".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:138:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
138 | freopen(TASK ".out", "w", stdout);
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