#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include <ext/pb_ds/tree_policy.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
//using namespace __gnu_pbds;
#define FOR(i,start,end) for(int i=start;i<(int)(end);i++)
#define FORE(i,start,end) for(int i=start;i<=(int)end;i++)
#define RFOR(i,start,end) for(int i = start; i>end; i--)
#define RFORE(i,start,end) for(int i = start; i>=end; i--)
#define all(a) a.begin(), a.end()
#define mt make_tuple
#define mp make_pair
#define v vector
#define sf scanf
#define pf printf
#define dvar(x) cout << #x << " := " << x << "\n"
#define darr(x,n) FOR(i,0,n) cout << #x << "[" << i << "]" << " := " << x[i] << "\n"
typedef long long ll;
typedef long double ld;
typedef pair<int, int > pii;
typedef pair<ll, ll> pll;
//template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T> void minn(T &a, T b) { a = min(a, b); }
template<class T> void maxx(T &a, T b) { a = max(a, b); }
void io() {
#ifdef LOCAL_PROJECT
freopen("input.in", "r", stdin); freopen("output.out", "w", stdout);
#else
/* online submission */
#endif
ios_base::sync_with_stdio(false); cin.tie(NULL);
}
const ll MOD = 1000000007LL;
const ll PRIME = 105943LL;
const int INF = 1e8;
/****************************************************************/
/*
Find minimum D st K points with boxes of 2D sides cover all points
*/
struct BBox {
int x1, y1, x2, y2;
BBox() {
x1 = INF, y1 = INF, x2 = -INF, y2 = -INF;
}
void upd(pii a) {
minn(x1, a.first);
maxx(x2, a.first);
minn(y1, a.second);
maxx(y2, a.second);
}
void upd(BBox b) {
minn(x1, b.x1);
minn(y1, b.y1);
maxx(x2, b.x2);
maxx(y2, b.y2);
}
};
struct Event {// f: {0, point} {1,box left/bot} {2, box right, top}
int p, f, idx;
Event(int a, int b, int c) {
p = a, f = b, idx = c;
}
inline bool operator<(const Event &b) const {
return p < b.p;
}
};
template<class T, int L> struct Bit {
T bit[L + 1];
Bit() {}
void clr() {
memset(bit, 0, sizeof bit);
}
void upd(int k, T val) {
for (k++; k <= L; k += (k&-k))
bit[k] += val;
}
T query(int k) {
T temp = 0;
for (k++; k > 0; k -= (k&-k))
temp += bit[k];
return temp;
}
T query(int l, int r) {
return query(r) - query(l - 1);
}
};
const int MAXN = 200000;
int K, N;
pii pnts[MAXN];
BBox rem[MAXN];
Bit<int, 4000199> cnt;
void add(int x, int y, int val) {
x += 2e6;
y += 2e6;
cnt.upd(x, val);
cnt.upd(y + 1, -val);
}
int query(int x) {
x += 2e6;
return cnt.query(x);
}
void reset() {
fill(rem, rem + N, BBox());
cnt.clr();
}
void sweep(int pFlag, int bFlag, v<Event> &lst) {
BBox cur;
FOR(i, 0, lst.size()) {
v<int> curidx[3];
int pc = lst[i].p;
curidx[lst[i].f].push_back(lst[i].idx);
while (i + 1 < lst.size() && lst[i + 1].p == pc) {
i++;
curidx[lst[i].f].push_back(lst[i].idx);
}
// process boxes first, then points
for (int b : curidx[bFlag])
rem[b].upd(cur);
for (int p : curidx[pFlag])
cur.upd(pnts[p]);
}
}
void initRemBox(int d) {
v<Event> lstX, lstY;
FOR(i, 0, N) {
lstX.push_back(Event(pnts[i].first, 0, i));
lstX.push_back(Event(pnts[i].first - d, 1, i));
lstX.push_back(Event(pnts[i].first + d, 2, i));
lstY.push_back(Event(pnts[i].second, 0, i));
lstY.push_back(Event(pnts[i].second - d, 1, i));
lstY.push_back(Event(pnts[i].second + d, 2, i));
}
sort(all(lstX));
sweep(0, 1, lstX);
reverse(all(lstX));
sweep(0, 2, lstX);
sort(all(lstY));
sweep(0, 1, lstY);
reverse(all(lstY));
sweep(0, 2, lstY);
}
BBox toNeeded(BBox b, int d) {
BBox ans;
ans.x1 = b.x2 - d;
ans.x2 = b.x1 + d;
ans.y1 = b.y2 - d;
ans.y2 = b.y1 + d;
return ans;
}
bool isOk(BBox b) {
return b.x1 <= b.x2 && b.y1 <= b.y2;
}
pii works(int d) {
initRemBox(d);
v<Event> lst;
FOR(i, 0, N) {
if (rem[i].x1 == INF && rem[i].x2 == -INF) {
return{ i, i };
}
rem[i] = toNeeded(rem[i], d);
if (isOk(rem[i])) {
lst.push_back(Event(rem[i].x1, 1, i));
lst.push_back(Event(rem[i].x2, 2, i));
}
lst.push_back(Event(pnts[i].first, 0, i));
}
// see if exists a point inside of a box BIT+reverse lookup
sort(all(lst));
FOR(i, 0, lst.size()) {
v<int> curidx[3];
int pc = lst[i].p;
curidx[lst[i].f].push_back(lst[i].idx);
while (i + 1 < lst.size() && lst[i + 1].p == pc) {
i++;
curidx[lst[i].f].push_back(lst[i].idx);
}
for (int b : curidx[1]) // starting
add(rem[b].y1, rem[b].y2, 1);
for (int p : curidx[0]) {// points
if (query(pnts[p].second) > 0) { // this point(p) is inside something
RFORE(j, i, 0) if (lst[j].f == 1) {
int b = lst[j].idx;
if (rem[b].y1 <= pnts[p].second && pnts[p].second <= rem[b].y2) {
return{ b,p };
}
}
assert(0);
}
}
for (int b : curidx[2]) // ending
add(rem[b].y1, rem[b].y2, -1);
}
return{ -1,-1 };
}
void solve2() {
pii ans;
int lo = 0, hi = 2e6 + 1;
while (lo<hi) {
int mid = (hi + lo) / 2;
reset();
ans = works(mid);
if (ans == mp(-1, -1)) {
lo = mid + 1;
}
else {
hi = mid;
}
}
ans = works(lo);
cout << lo << "\n" << ans.first + 1 << " " << ans.second + 1 << "\n";
}
void solve1() {
BBox b;
FOR(i, 0, N) b.upd(pnts[i]);
pii ans = { INF, -1 };
FOR(i, 0, N) {
int d = max(max(abs(b.x1 - pnts[i].first), abs(b.x2 - pnts[i].first)), max(abs(b.y1 - pnts[i].second), abs(b.y2 - pnts[i].second)));
minn(ans, { d,i });
}
cout << ans.first << "\n" << ans.second + 1 << "\n";
}
int main() {
io();
cin >> K >> N;
BBox entire;
FOR(i, 0, N) {
int x, y;
cin >> x >> y;
pnts[i].first = x + y;
pnts[i].second = x - y;
entire.upd(pnts[i]);
}
FOR(i, 0, N) {
pnts[i].first -= entire.x1;
pnts[i].second -= entire.y1;
}
if (K == 1) solve1();
else solve2();
return 0;
}
Compilation message
kosta.cpp: In function 'void sweep(int, int, std::vector<Event>&)':
kosta.cpp:128:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while (i + 1 < lst.size() && lst[i + 1].p == pc) {
~~~~~~^~~~~~~~~~~~
kosta.cpp: In function 'pii works(int)':
kosta.cpp:194:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while (i + 1 < lst.size() && lst[i + 1].p == pc) {
~~~~~~^~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
3448 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
3708 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
28 ms |
4544 KB |
Output is correct |
| 2 |
Correct |
28 ms |
4584 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
46 ms |
5224 KB |
Output is correct |
| 2 |
Correct |
44 ms |
5284 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
35 ms |
19264 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
44 ms |
19392 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
177 ms |
19864 KB |
Output is correct |
| 2 |
Correct |
148 ms |
19880 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
142 ms |
19912 KB |
Output is correct |
| 2 |
Correct |
158 ms |
19912 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1339 ms |
24736 KB |
Output is correct |
| 2 |
Runtime error |
1391 ms |
41792 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
1441 ms |
47288 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 2 |
Halted |
0 ms |
0 KB |
- |
