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>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, subtask;
cin >> n >> subtask;
vector<pair<int, int>> p(n);
map<int, int> mp;
for (int i = 0; i < n; i++) {
cin >> p[i].first >> p[i].second;
mp[p[i].first] = mp[p[i].second] = 0;
}
int idd = 0;
for (auto& pp : mp) {
pp.second = idd++;
}
vector<pair<int, int>> rp = p;
for (int i = 0; i < n; i++) {
p[i].first = mp[p[i].first];
p[i].second = mp[p[i].second];
}
sort(p.begin(), p.end());
vector<int> per(n);
iota(per.begin(), per.end(), 0);
do {
bool bl = true;
map<pair<int, int>, bool> vis;
set<pair<int, int>> se;
auto can_go = [&](int x, int y) {
return vis[{x - 1, y - 1}] || vis[{x - 1, y}] || vis[{x - 1, y}] || vis[{x, y - 1}] || vis[{x, y + 1}] || vis[{x + 1, y - 1}] || vis[{x + 1, y}] || vis[{x + 1, y + 1}];
};
function<bool(int, int)> can_go_out = [&](int x, int y) {
if (vis[{x, y}]) {
return false;
}
if (x + 1 >= idd || y + 1 >= idd || x - 1 < 0 || y - 1 < 0) {
return true;
}
se.insert({x, y});
if (!se.count({x + 1, y})) {
if (can_go_out(x + 1, y)) {
return true;
}
}
if (!se.count({x, y - 1})) {
if (can_go_out(x, y - 1)) {
return true;
}
}
if (!se.count({x - 1, y})) {
if (can_go_out(x - 1, y)) {
return true;
}
}
if (!se.count({x, y + 1})) {
if (can_go_out(x, y + 1)) {
return true;
}
}
return false;
};
vis[{rp[per[0]].first, rp[per[0]].second}] = 1;
for (int i = 1; i < n; i++) {
if (!can_go(rp[per[i]].first, rp[per[i]].second)) {
bl = false;
}
vis[{rp[per[i]].first, rp[per[i]].second}] = 1;
}
if (!bl) {
continue;
}
vis.clear();
for (int i = 0; i < n; i++) {
while (!se.empty()) {
se.erase(se.begin());
}
if (!can_go_out(p[per[i]].first, p[per[i]].second)) {
/**
cout << i << " " << p[per[i]].first << " " << p[per[i]].second << '\n';
for (auto pp : vis) {
cout << pp.first.first << " " << pp.first.second << '\n';
}
**/
bl = false;
break;
}
vis[{p[per[i]].first, p[per[i]].second}] = 1;
}
if (!bl) {
continue;
}
cout << "YES" << '\n';
for (int i = 0; i < n; i++) {
if (i > 0) {
cout << " ";
}
cout << per[i] + 1;
}
cout << '\n';
return 0;
} while (next_permutation(per.begin(), per.end()));
cout << "NO" << '\n';
return 0;
}
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