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;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef long long ll;
const int maxn = 2e5 + 10;
const int inf = 1e9 + 1;
int L[maxn], R[maxn], D[maxn], U[maxn];
int mark[maxn];
pair<int,int> ans[5];
int rot = 0;
bool check(int,int,int,int);
bool solve(int n, int k){
if (k == 1){
bool cor = 1;
int x = inf-1, y = inf-1;
for (int i = 1; i <= n; i++)
if (!mark[i])
x = min(x, R[i]), y = min(y, U[i]);
for (int i = 1; i <= n; i++)
if (!mark[i])
cor &= (L[i] <= x and x <= R[i] and D[i] <= y and y <= U[i]);
if (cor)
ans[k] = {x,y};
return cor;
}
if (k == 2){
int x = inf-1, y1 = inf-1, y2 = 1;
for (int i = 1; i <= n; i++)
if (!mark[i])
x = min(x, R[i]), y1 = min(y1, U[i]), y2 = max(y2, D[i]);
bool ret = check(n, k, x, y1);
if (ret == true)
return true;
ret = check(n, k, x, y2);
return ret;
}
if (k == 3){
int x1 = inf-1, x2 = 1, y1 = inf-1, y2 = 1;
for (int i = 1; i <= n; i++)
if (!mark[i])
x1 = min(x1, R[i]), x2 = max(x2, L[i]), y1 = min(y1, U[i]), y2 = max(y2, D[i]);
bool ret = check(n, k, x1, y1);
if (ret == true)
return true;
ret = check(n, k, x1, y2);
if (ret == true)
return true;
ret = check(n, k, x2, y1);
if (ret == true)
return true;
ret = check(n, k, x2, y2);
return ret;
}
if (k == 4){
int x = inf-1;
for (int i = 1; i <= n; i++)
x = min(x, R[i]);
vector<pair<int,int>> seg;
for (int i = 1; i <= n; i++)
if (L[i] <= x)
seg.push_back({D[i],i});
sort(seg.rbegin(), seg.rend());
int minl = inf;
for (auto it : seg){
int idx = it.second;
if (U[idx] < minl){
bool ret = check(n, k, x, U[idx]);
if (ret)
return true;
minl = U[idx];
}
}
int cnt = 0;
for (int i = 1; i <= n; i++)
if (L[i] <= x)
seg[cnt++] = {U[i],i};
sort(seg.begin(), seg.end());
int maxr = 0;
for (auto it : seg){
int idx = it.second;
if (maxr < D[idx]){
bool ret = check(n, k, x, D[idx]);
if (ret)
return true;
maxr = D[idx];
}
}
/* if (rot == 0){
for (int i = 1; i <= n; i++){
int l = L[i], r = R[i], u = U[i], d = D[i];
L[i] = inf - r, R[i] = inf - l;
}
rot ++;
bool ret = solve(n,k);
if (ret == true){
for (int i = 1; i <= k; i++)
ans[i].first = inf - ans[i].first;
return true;
}
}
*/ }
return false;
}
bool check(int n, int k, int x, int y){
for (int i = 1; i <= n; i++)
if (!mark[i] and L[i] <= x and x <= R[i] and D[i] <= y and y <= U[i])
mark[i] = k;
ans[k] = {x,y};
bool ret = solve(n, k-1);
if (ret == true)
return true;
for (int i = 1; i <= n; i++)
if (mark[i] == k)
mark[i] = 0;
return false;
}
int main(){
ios_base::sync_with_stdio(false);
int n, k;
cin >> n >> k;
for (int i = 1; i <= n; i++)
cin >> L[i] >> D[i] >> R[i] >> U[i];
bool solved = solve(n, k);
assert(solved);
for (int i = 1; i <= k; i++)
cout << ans[i].first << " " << ans[i].second << endl;
}
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