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 debug(x) cerr << #x << " " << x << "\n"
#define debugs(x) cerr << #x << " " << x << " "
#pragma GCC optimize ("Ofast")
#pragma GCC target ("avx2")
#define int ll
using namespace std;
typedef long long ll;
typedef pair <ll, ll> pii;
const ll NMAX = 400005;
const ll INF = 1e9;
const ll nrbits = 20;
const ll MOD = 998244353;
struct rect {
int x1, y1, x2, y2;
} v[NMAX];
int n, k;
vector <pii> sol;
int taken[NMAX];
rect intersect(rect a, rect b) {
rect sol = {max(a.x1, b.x1), max(a.y1, b.y1), min(a.x2, b.x2), min(a.y2, b.y2)};
return sol;
}
bool isIn(pii a, rect r) {
return (r.x1 <= a.first && a.first <= r.x2 && r.y1 <= a.second && a.second <= r.y2);
}
rect solve1() {
int i;
rect sol = {0, 0, INF, INF};
for(i = 1; i <= n; i++) {
sol = intersect(sol, v[i]);
}
return sol;
}
void afiseaza() {
for(auto x : sol) {
cout << x.first << " " << x.second << "\n";
}
k -= sol.size();
while(k--) {
cout << "0 0\n";
}
exit(0);
}
void tryy(int lvl) {
int i;
if(lvl == 0) {
int ok = 1;
for(i = 1; i <= n; i++) {
ok &= (taken[i] > 0);
}
if(ok) {
afiseaza();
}
return;
}
int xmin = INF, xmax = 0, ymin = INF, ymax = 0;
for(i = 1; i <= n; i++) {
if(taken[i]) continue;
xmin = min(xmin, v[i].x2);
xmax = max(xmax, v[i].x1);
ymin = min(ymin, v[i].y2);
ymax = max(ymax, v[i].y1);
}
vector <pii> per;
per.push_back({xmin, ymin});
per.push_back({xmin, ymax});
per.push_back({xmax, ymin});
per.push_back({xmax, ymax});
for(int d = 0; d < 4; d++) {
pii acum = per[d];
for(i = 1; i <= n; i++) {
if(isIn(acum, v[i])) {
taken[i]++;
}
}
sol.push_back(acum);
tryy(lvl - 1);
for(i = 1; i <= n; i++) {
if(isIn(acum, v[i])) taken[i]--;
}
sol.pop_back();
}
}
vector <int> nrmX;
vector <int> nrmY;
int codedX[NMAX];
int codedY[NMAX];
unordered_map <int, int> mpX;
unordered_map <int, int> mpY;
vector <int> ev1[NMAX];
vector <int> ev2[NMAX];
vector <int> ev3[NMAX];
vector <int> ev4[NMAX];
int sum1[NMAX];
int sum2[NMAX];
int sum3[NMAX];
int sum4[NMAX];
int f[NMAX];
struct ura {
int unu, doi, trei, patru;
} plec[NMAX];
void add(int x, int val) {
if(plec[x].unu != -1) {
sum1[plec[x].unu] += val;
}
if(plec[x].doi != -1) {
sum2[plec[x].doi] += val;
}
if(plec[x].trei != -1) {
sum3[plec[x].trei] += val;
}
if(plec[x].patru != -1) {
sum4[plec[x].patru] += val;
}
}
signed main() {
#ifdef HOME
ifstream cin(".in");
ofstream cout(".out");
#endif // HOME
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int i;
cin >> n >> k;
for(i = 1; i <= n; i++) {
cin >> v[i].x1 >> v[i].y1 >> v[i].x2 >> v[i].y2; /// it doesn't matter
}
/// K = 1?
tryy(1);
/// K = 2?
tryy(2);
/// K = 3?
tryy(3);
/// K = 4 and pair found
tryy(4);
for(i = 1; i <= n; i++) {
nrmX.push_back(v[i].x1);
nrmX.push_back(v[i].x2);
nrmY.push_back(v[i].y2);
nrmY.push_back(v[i].y1);
}
sort(nrmX.begin(), nrmX.end());
sort(nrmY.begin(), nrmY.end());
int cnt = 0;
int lst = -1;
for(auto x : nrmX) {
if(x != lst) {
cnt++;
}
mpX[x] = cnt;
codedX[cnt] = x;
lst = x;
}
cnt = 0;
lst = -1;
for(auto x : nrmY) {
if(x != lst) {
cnt++;
}
mpY[x] = cnt;
codedY[cnt] = x;
lst = x;
}
for(i = 1; i <= n; i++) {
v[i].x1 = mpX[v[i].x1];
v[i].x2 = mpX[v[i].x2];
v[i].y1 = mpY[v[i].y1];
v[i].y2 = mpY[v[i].y2];
}
int x1 = INF, x2 = 0, y1 = INF, y2 = 0;
for(i = 1; i <= n; i++) {
x1 = min(x1, v[i].x2);
x2 = max(x2, v[i].x1);
y1 = min(y1, v[i].y2);
y2 = max(y2, v[i].y1);
}
pii unu = {x1, y1};
pii doi = {x2, y1};
pii trei = {x2, y2};
pii patru = {x1, y2};
int total = 0;
for(i = 1; i <= n; i++) {
plec[i] = {-1, -1, -1, -1};
if(v[i].y1 <= y1 && v[i].y2 >= y1) {
int st = max(unu.first, v[i].x1);
int dr = v[i].x2 + 1;
assert(st <= dr);
if(st <= x2) {
ev1[st].push_back(i);
}
if(dr <= x2) {
ev1[dr].push_back(-i);
plec[i].unu = v[i].x2;
sum1[v[i].x2]++;
}
}
if(v[i].x1 <= doi.first && v[i].x2 >= doi.first) {
int st = max(doi.second, v[i].y1);
int dr = v[i].y2 + 1;
assert(st <= dr);
if(st <= y2) {
ev2[st].push_back(i);
}
if(dr <= y2) {
ev2[dr].push_back(-i);
plec[i].doi = v[i].y2;
sum2[v[i].y2]++;
}
}
if(v[i].y1 <= trei.second && v[i].y2 >= trei.second) {
int st = min(trei.first, v[i].x2);
int dr = v[i].x1 - 1;
assert(st >= dr);
if(st >= x1) {
ev3[st].push_back(i);
}
if(dr >= x1) {
ev3[dr].push_back(-i);
plec[i].trei = v[i].x1;
sum3[v[i].x1]++;
}
}
if(v[i].x1 <= patru.first && v[i].x2 >= patru.first) {
int st = min(patru.second, v[i].y2);
int dr = v[i].y1 - 1;
assert(st >= dr);
if(st >= y1) {
ev4[st].push_back(i);
}
if(dr >= y1) {
ev4[dr].push_back(-i);
plec[i].patru = v[i].y1;
sum4[v[i].y1]++;
}
}
}
for(i = 1; i <= n; i++) {
int x = i;
if(isIn(unu, v[i])) {
f[x]++;
if(f[x] == 1) total++;
if(f[x] == 2) {
add(x, -1);
}
}
if(isIn(doi, v[i])) {
f[x]++;
if(f[x] == 1) total++;
if(f[x] == 2) {
add(x, -1);
}
}
if(isIn(trei, v[i])) {
f[x]++;
if(f[x] == 1) total++;
if(f[x] == 2) {
add(x, -1);
}
}
if(isIn(patru, v[i])) {
f[x]++;
if(f[x] == 1) total++;
if(f[x] == 2) {
add(x, -1);
}
}
}
while(unu.first <= x2) {
if(unu.first != x1) {
for(auto x : ev1[unu.first]) {
if(x > 0) {
f[x]++;
if(f[x] == 1) total++;
if(f[x] == 2) {
add(x, -1);
}
} else {
f[-x]--;
if(f[-x] == 0) total--;
if(f[-x] == 1) {
add(-x, 1);
}
}
}
}
while(doi.second < y2 && sum2[doi.second] == 0) {
doi.second++;
for(auto x : ev2[doi.second]) {
if(x > 0) {
f[x]++;
if(f[x] == 1) total++;
if(f[x] == 2) {
add(x, -1);
}
} else {
f[-x]--;
if(f[-x] == 0) total--;
if(f[-x] == 1) {
add(-x, 1);
}
}
}
}
while(trei.first > x1 && sum3[trei.first] == 0) {
trei.first--;
for(auto x : ev3[trei.first]) {
if(x > 0) {
f[x]++;
if(f[x] == 1) total++;
if(f[x] == 2) {
add(x, -1);
}
} else {
f[-x]--;
if(f[-x] == 0) total--;
if(f[-x] == 1) {
add(-x, 1);
}
}
}
}
while(patru.second > y1 && sum4[patru.second] == 0) {
patru.second--;
for(auto x : ev4[patru.second]) {
if(x > 0) {
f[x]++;
if(f[x] == 1) total++;
if(f[x] == 2) {
add(x, -1);
}
} else {
f[-x]--;
if(f[-x] == 0) total--;
if(f[-x] == 1) {
add(-x, 1);
}
}
}
}
if(total == n) {
cout << codedX[unu.first] << " " << codedY[unu.second] << "\n";
cout << codedX[doi.first] << " " << codedY[doi.second] << "\n";
cout << codedX[trei.first] << " " << codedY[trei.second] << "\n";
cout << codedX[patru.first] << " " << codedY[patru.second] << "\n";
return 0;
}
unu.first++;
}
return 0;
}
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