This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define pb push_back
#define all(aa) aa.begin(), aa.end()
using namespace std;
constexpr int maxn = 1e6 + 5;
int main(){
int n;
cin >> n;
vector<vector<int>> X_vals(maxn);
map<pair<int, int>, int> index;
vector<vector<pair<int, int>>> Y_act(maxn); // cord, type (1 if it is upper bound, -1 if lower bound)
vector<int> vis(n);
for(int i = 0; i < n; i++){
int x, y;
cin >> x >> y;
--x, --y;
index[{x, y}] = i;
X_vals[x].pb(y);
}
for(int i = 0; i < maxn; i++){
if(!X_vals[i].empty())
sort(all(X_vals[i]));
}
function<void(int)> fix = [&](int y){
if(Y_act[y].size() <= 2){
return;
}
// ayni y-de 3 tane nokta var
sort(all(Y_act[y]));
swap(Y_act[y][2], Y_act[y][1]);
array<int, 3> to_fix = {Y_act[y][2].first, y, Y_act[y][2].second};
Y_act[y].resize(2);
vis[ index[{to_fix[0], to_fix[1]}] ] = 0;
if(to_fix[2] == 1){
int y_nxt = (lower_bound(all(X_vals[to_fix[0]] ), to_fix[1]) - X_vals[to_fix[0]].begin() ) - 1;
if(y_nxt < 0)
return;
if(vis[ index[{to_fix[0], y_nxt}] ])
return;
vis[ index[{to_fix[0], y_nxt}] ] = 1;
Y_act[ y_nxt ].pb({to_fix[0], 1});
fix(y_nxt);
}
if(to_fix[2] == -1){
int y_nxt = (lower_bound(all(X_vals[to_fix[0]] ), to_fix[1]) - X_vals[to_fix[0]].begin() ) + 1;
if(y_nxt >= (int) X_vals[to_fix[0]].size())
return;
if(vis[ index[{to_fix[0], y_nxt}] ])
return;
vis[ index[{to_fix[0], y_nxt}] ] = 1;
Y_act[ y_nxt ].pb({to_fix[0], -1});
fix(y_nxt);
}
};
for(int i = 0; i < maxn; i++){
if(X_vals[i].empty()) continue;
vector<int> x_col = X_vals[i];
vis[ index[{i, x_col[0]}] ] = 1;
Y_act[x_col[0]].pb({i, -1});
sort(all(Y_act[x_col[0]]));
fix(x_col[0]);
if(vis[ index[{i, x_col.back()}]]) continue;
vis[ index[{i, x_col.back()}] ] = 1;
// cout << index[{i, x_col[0]}] << ' ' << index[{i, x_col.back()}] << endl;
Y_act[x_col.back()].pb({i, 1});
sort(all(Y_act[x_col.back()]));
fix(x_col.back());
}
for(int i = 0; i < n; i++){
cout << (vis[i] ? 1 : 0);
}
}
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