#include <bits/stdc++.h>
using namespace std ;
typedef long long ll ;
typedef long double ld ;
typedef pair<int, int> pii ;
typedef pair<int, long long> pil ;
typedef pair<long long, int> pli ;
typedef pair<long long, long long> pll ;
#define bitc(n) (__builtin_popcountll(n))
#define clz(n) (__builtin_clzll(n))
#define ctz(n) (__builtin_ctzll(n))
#define lgi(n) (31 - __builtin_clz(n))
#define lgl(n) (63 - __builtin_clzll(n))
#define MASK(k) (1ll << (k))
#define getbit(n, k) ((n) >> (k) & 1)
#define flipbit(n, k) ((n) ^ (1ll << (k)))
#define ton(n, k) ((n) | (1ll << (k)))
#define toff(n, k) ((n) & ~(1ll << (k)))
#define fi first
#define se second
#define mp make_pair
#define eb emplace_back
#define lwb lower_bound
#define upb upper_bound
#define sz(x) (int)(x.size())
#define all(x) x.begin(),x.end()
#define taskname "slamp"
template<class X, class Y>
bool maximize(X &x, const Y &y) {
if(x < y) {
return x = y, true ;
}
return false ;
}
template<class X, class Y>
bool minimize(X &x, const Y &y) {
if(x > y) {
return x = y, true ;
}
return false ;
}
template<class X>
void removeDup(vector<X> &ve) {
sort(ve.begin(), ve.end()) ;
ve.resize(unique(ve.begin(), ve.end()) - ve.begin()) ;
}
const ll INF = 1e18 ;
const int inf = 1e9 ;
const int mod = 1e9 + 7 ;
const int N = 1e6 + 5, LG = 17 ;
/* Some Peach Tea Is Great ;-; */
/* Author : Tuandq */
int n ;
pii a[N] ;
namespace sub6 {
vector<pii> row[N], col[N] ;
int maskRow[N], maskCol[N], le, ri, up, dw ;
bitset<N> mark ;
void upset(const int &idx, int c, int r) {
mark.set(idx) ; maskRow[a[idx].se] |= r ; maskCol[a[idx].fi] |= c ;
}
bool makeCol(int idx) {
if(col[idx].empty() || maskCol[idx] == 3) return false ;
vector<pii> &ve = col[idx] ;
while(!ve.empty() && (ve.back().fi > up || maskRow[ve.back().fi] == 3)) maskRow[ve.back().fi] |= 2, ve.pop_back() ;
reverse(all(ve)) ;
while(!ve.empty() && (ve.back().fi < dw || maskRow[ve.back().fi] == 3)) maskRow[ve.back().fi] |= 1, ve.pop_back() ;
reverse(all(ve)) ;
return !ve.empty() ;
}
bool makeRow(int idx) {
if(row[idx].empty() || maskRow[idx] == 3) return false ;
vector<pii> &ve = row[idx] ;
while(!ve.empty() && (ve.back().fi > ri || maskCol[ve.back().fi] == 3)) maskCol[ve.back().fi] |= 1, ve.pop_back() ;
reverse(all(ve)) ;
while(!ve.empty() && (ve.back().fi < le || maskCol[ve.back().fi] == 3)) maskCol[ve.back().fi] |= 2, ve.pop_back() ;
reverse(all(ve)) ;
return !ve.empty() ;
}
void solve() {
for(int i = 1; i <= n; i ++) {
col[a[i].fi].emplace_back(a[i].se, i) ;
row[a[i].se].emplace_back(a[i].fi, i) ;
}
for(int i = 1; i < N; i ++) {
sort(all(row[i])) ; sort(all(col[i])) ;
}
le = 1, ri = N - 1, up = N - 1, dw = 0 ;
while(true) {
while(le <= ri && !makeCol(le)) ++ le ;
while(ri >= le && !makeCol(ri)) -- ri ;
while(dw <= up && !makeRow(dw)) ++ dw ;
while(up >= dw && !makeRow(up)) -- up ;
// cerr << le << ' ' << ri << ' ' << dw << ' ' << up << endl ;
if(le > ri || dw > up) break ;
if(le == ri) {
int p = 0, q = sz(col[le]) - 1 ;
while(p <= q && col[le][p].fi < dw) ++ p ;
while(q >= p && col[le][q].fi > up) -- q ;
if(p <= q) {
if(p == q) upset(col[le][p].se, 3, 0) ;
else {
if(~maskCol[le] >> 0 & 1) upset(col[le][p].se, 1, 0) ;
if(~maskCol[le] >> 1 & 1) upset(col[le][q].se, 2, 0) ;
}
}
break ;
}
if(dw == up) {
int p = 0, q = sz(row[up]) - 1 ;
while(p <= q && row[up][p].fi < le) ++ p ;
while(q >= p && row[up][q].fi > ri) -- q ;
if(p <= q) {
if(p == q) upset(row[up][p].se, 0, 3) ;
else {
if(~maskRow[up] >> 0 & 1) upset(row[up][p].se, 0, 1) ;
if(~maskRow[up] >> 1 & 1) upset(row[up][q].se, 0, 2) ;
}
}
break ;
}
vector<pii> pot = {mp(le, 1), mp(ri, 2)} ;
for(pii cur : pot) {
int p = 0, q = sz(col[cur.fi]) - 1 ;
while(p <= q && col[le][p].fi < dw) ++ p ;
while(q >= p && col[le][q].fi > up) -- q ;
if(p <= q) {
if(p == q) upset(col[cur.fi][p].se, 3, cur.se) ;
else {
if(~maskCol[cur.fi] >> 0 & 1) upset(col[cur.fi][p].se, 1, cur.se) ;
if(~maskCol[cur.fi] >> 1 & 1) upset(col[cur.fi][q].se, 2, cur.se) ;
}
}
}
pot = {mp(dw, 0), mp(up, 1)} ;
for(pii cur : pot) {
int p = 0, q = sz(row[cur.fi]) - 1 ;
while(p <= q && row[cur.fi][p].fi < le) ++ p ;
while(q >= p && row[cur.fi][q].fi > ri) -- q ;
if(p <= q) {
if(p == q) upset(row[cur.fi][p].se, cur.se, 3) ;
else {
if(~maskRow[cur.fi] >> 0 & 1) upset(row[cur.fi][p].se, cur.se, 1) ;
if(~maskRow[cur.fi] >> 1 & 1) upset(row[cur.fi][q].se, cur.se, 2) ;
// cerr << "fuck " << up << ' ' << (~maskRow[g] >> 0 & 1) << ' ' << (~maskRow[g] >> 1 & 1) << endl ;
}
}
}
}
for(int i = 1; i <= n; i ++) cout << mark[i] ;
}
}
void kittncool() {
cin >> n ;
for(int i = 1; i <= n; i ++) {
cin >> a[i].fi >> a[i].se ;
}
return sub6::solve() ;
}
signed main() {
ios_base::sync_with_stdio(0) ; cin.tie(0) ; cout.tie(0) ;
if(fopen(taskname".inp", "r")) {
freopen(taskname".inp", "r", stdin) ;
freopen(taskname".out", "w", stdout) ;
}
int t = 1 ; //cin >> t ;
while(t --) {
kittncool() ;
}
}
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:199:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
199 | freopen(taskname".inp", "r", stdin) ;
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:200:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
200 | freopen(taskname".out", "w", stdout) ;
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