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;
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define fi first
#define se second
const vector<pii > dir = {{-1, -1}, {-1, 0}, {-1, 1}, {0, -1}, {0, 1}, {1, -1}, {1, 0}, {1, 1}};
const vector<pii > dir_2 = {{-1, 0}, {0, -1}, {0, 1}, {1, 0}};
int n, type;
vector<pair<int, int> > v;
unordered_map<int, unordered_map<int, int> > which;
vector<int> ans;
set<int> doable;
bool has_neighbour(pii cur) {
for(pii d : dir) {
pii nei = mp(cur.fi + d.fi, cur.se + d.se);
int nei_idx = which[nei.fi][nei.se];
if(nei_idx != 0) {
return true;
}
}
return false;
}
int count_bfs(int start, int miss) {
queue<int> q;
vector<bool> vis(1 + n, false);
q.push(start);
vis[start] = true;
while(!q.empty()) {
int cur = q.front();
q.pop();
for(pii d : dir) {
pii nei = mp(v[cur].fi + d.fi, v[cur].se + d.se);
int nei_idx = which[nei.fi][nei.se];
if(nei_idx != 0 && !vis[nei_idx] && nei_idx != miss) {
q.push(nei_idx);
vis[nei_idx] = true;
}
}
}
int res = 0;
for(int i = 1; i <= n; i++) {
if(vis[i]) {
res++;
}
}
return res;
}
queue<pii> q;
unordered_map<int, unordered_map<int, bool> > seen;
void upd_bfs() {
while(!q.empty()) {
pii cur = q.front();
q.pop();
for(pii d : dir_2) {
pii nei = mp(cur.fi + d.fi, cur.se + d.se);
int nei_idx = which[nei.fi][nei.se];
if(nei_idx != 0) {
doable.insert(nei_idx);
} else {
if(!seen[nei.fi][nei.se] && has_neighbour(nei)) {
q.push(nei);
seen[nei.fi][nei.se] = true;
}
}
}
}
}
void solve() {
cin >> n >> type;
v.assign(1 + n, mp(0, 0));
int bottom_left = 1;
for(int i = 1; i <= n; i++) {
cin >> v[i].fi >> v[i].se;
which[v[i].fi][v[i].se] = i;
if(v[i].fi < v[bottom_left].fi) {
bottom_left = i;
}
}
if(count_bfs(1, -1) < n) {
cout << "NO\n";
return;
}
cout << "YES\n";
set<int> rem;
for(int i = 1; i <= n; i++) {
rem.insert(i);
}
pii start = mp(v[bottom_left].fi - 1, v[bottom_left].se);
q.push(start);
seen[start.fi][start.se] = true;
upd_bfs();
while(!doable.empty()) {
int to_rem = -1;
for(int cur : doable) {
int st = *rem.begin();
if(st == cur) {
st = *rem.rbegin();
}
if(count_bfs(st, cur) >= (int) rem.size() - 1) {
// cur can be removed
to_rem = cur;
break;
}
}
ans.pb(to_rem);
rem.erase(to_rem);
doable.erase(to_rem);
q.push(v[to_rem]);
which[v[to_rem].fi][v[to_rem].se] = 0;
upd_bfs();
}
reverse(ans.begin(), ans.end());
for(int cur : ans) {
cout << cur << "\n";
}
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
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