This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
DavitMarg
In a honky-tonk,
Down in Mexico
*/
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <algorithm>
#include <cmath>
#include <vector>
#include <string>
#include <cstring>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <queue>
#include <bitset>
#include <stack>
#include <cassert>
#include <iterator>
#include <random>
#include <chrono>
#define mod 998244353ll
#define LL long long
#define LD long double
#define MP make_pair
#define PB push_back
#define all(v) v.begin(), v.end()
#define fastIO ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
using namespace std;
const int N = 1000006;
#define X first.first
#define Y first.second
#define I second
#define pt pair<pair<int,int>, int>
int n;
int ans[N];
pt p[N];
unordered_map<int, set<pt>> x, y;
int used[N];
void lesgo(pt a)
{
x[a.X].insert(a);
y[a.Y].insert(a);
ans[a.I] = 1;
used[a.I] = 1;
if (!y[a.Y].empty() && *y[a.Y].begin() == a)
{
pt last = a;
bool f = 0;
for (auto it = y[a.Y].begin(); it != y[a.Y].end(); ++it)
{
pt b = *it;
if (b == a)
continue;
if (ans[b.I])
{
f = 1;
break;
}
if(!x[b.X].empty() && !used[b.I] && (*x[b.X].begin() == b || *x[b.X].rbegin() == b))
last = b;
used[b.I] = 1;
x[b.X].erase(b);
}
y[a.Y].clear();
if (!f)
{
ans[last.I] = 1;
if (last != a)
lesgo(last);
}
}
else if (!y[a.Y].empty() && *y[a.Y].rbegin() == a)
{
pt last = a;
bool f = 0;
for (auto it = y[a.Y].rbegin(); it != y[a.Y].rend(); ++it)
{
pt b = *it;
if (b == a)
continue;
if (ans[b.I])
{
f = 1;
break;
}
if (!x[b.X].empty() && !used[b.I] && (*x[b.X].begin() == b || *x[b.X].rbegin() == b))
last = b;
used[b.I] = 1;
x[b.X].erase(b);
}
y[a.Y].clear();
if (!f)
{
ans[last.I] = 1;
if (last != a)
lesgo(last);
}
}
if (!x[a.X].empty() && *x[a.X].begin() == a)
{
pt last = a;
bool f = 0;
for (auto it = x[a.X].begin(); it != x[a.X].end(); ++it)
{
pt b = *it;
if (b == a)
continue;
if (ans[b.I])
{
f = 1;
break;
}
if (!y[b.Y].empty() && !used[b.I] && (*y[b.Y].begin() == b || *y[b.Y].rbegin() == b))
last = b;
used[b.I] = 1;
y[b.Y].erase(b);
}
x[a.X].clear();
if (!f)
{
ans[last.I] = 1;
if (last != a)
lesgo(last);
}
}
else if (!x[a.X].empty() && *x[a.X].rbegin() == a)
{
pt last = a;
bool f = 0;
for (auto it = x[a.X].rbegin(); it != x[a.X].rend(); ++it)
{
pt b = *it;
if (b == a)
continue;
if (ans[b.I])
{
f = 1;
break;
}
if (!y[b.Y].empty() && !used[b.I] && (*y[b.Y].begin() == b || *y[b.Y].rbegin() == b))
last = b;
used[b.I] = 1;
y[b.Y].erase(b);
}
x[a.X].clear();
if (!f)
{
ans[last.I] = 1;
if (last != a)
lesgo(last);
}
}
}
void solve()
{
cin >> n;
for (int i = 1; i <= n; i++)
{
cin >> p[i].X >> p[i].Y;
p[i].I = i;
}
for (int i = 1; i <= n; i++)
{
x[p[i].X].insert(p[i]);
y[p[i].Y].insert(p[i]);
}
for (int i = 0; i < N; i++)
{
// sort(all(x[i]), [](pt a, pt b) {return a.Y < b.Y; });
// sort(all(y[i]), [](pt a, pt b) {return a.X < b.X; });
}
sort(p + 1, p + 1 + n, [](pt a, pt b) {
if(a.Y == b.Y)
return a.X < b.X;
return a.Y < b.Y;
});
for (int i = 1; i <= n; i++)
{
if(used[p[i].I])
continue;
lesgo(p[i]);
}
for (int i = 1; i <= n; i++)
cout << ans[i];
cout << endl;
}
int main()
{
fastIO;
int T = 1;
//cin >> T;
while (T--)
{
solve();
}
return 0;
}
/*
8
1 1
2 1
3 1
1 2
2 2
3 2
2 3
3 3
*/
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