Description
Someone planted n small saplings on the mountain. Winter came, the temperature dropped rapidly, small seedlings vulnerable to fragile, so the tree owners want to use some plastic thin
The film covered the small trees, and after a long thought, he decided to cover them with 3 l*l square plastic sheeting. We may as well build the mountain
A planar rectangular coordinate system is set, the coordinates of the tree I tree are (xi,yi), and the sides of the 3 l*l squares are required to be parallel with the axes, a point if in
On the boundary of the square, also counted as being covered. Of course, we hope that the smaller the film area, the better, that is, the L-min value.
Input
The first row has a positive integer n, indicating how many trees there are. Then there are n rows, and the i+1 line has 2 integers xi,yi, representing the coordinates of the tree, which guarantees
There will not be 2 trees with the same coordinates.
Output
One line, the smallest l value is output.
Sample Input
4
0 1
0-1
1 0
-1 0
Sample Output
1
HINT
100% of the data, n<=20000.
How to solve the problem: circle all the points with a minimum rectangle, and obviously the first square is placed in one of the Four Corners,
By deleting the points it covers, the remaining points become a child problem, and then a square is placed to determine whether the remaining points are in a square. Then this side will be two minutes long.
The code is as follows:
#include <bits/stdc++.h> using namespace std;
const int MAXN = 20010;
const int inf = 1<<30;
int n;
BOOL VIS[MAXN];
struct point{int x, y;
Point () {} point (int x, int y): x (x), Y (y) {} void Read () {scanf ("%d%d", &x, &y);
}}P[MAXN]; BOOL Check (int l, int step) {if (step = 4) {to (int i = 1; I <= n; i++) {if (!vis[i)) return FAL
Se
return true;
int xl = inf, XR =-inf, yl = inf, yr =-inf;
int X, Y;
BOOL flag = 0;
for (int i = 1; I <= n; i++) {if (!vis[i]) {xl = min (p[i].x, xl); XR = max (XR, p[i].x); yl = min (p[i].y, yl);
yr = Max (yr, p[i].y);
for (int i = 1; I <= 4; i++) {if (i = = 1) X = XL, Y = YL;
else if (i = = 2) X = XR, Y = YL;
else if (i = = 3) X = xl, Y = yr;
else X = XR, Y = yr;
Vector <int> xs; for (int j = 1; J <= N; j +) {if (!vis[j] && X-L <= p[j].x && p[j].x <= x + L && y-l <= p[j].y && p[j].y <= Y + L) {
VIS[J] = 1;
Xs.push_back (j);
} Flag |= Check (l, step + 1);
for (int j = 0; J < Xs.size (); j + +) {Vis[xs[j]] = 0;
} return flag;
int main () {scanf ("%d", &n);
for (int i = 1; I <= n; i++) P[i].read ();
int L = 0, r = INF;
while (L < r) {int mid = (L + r)/2;
if (check (Mid, 1)) R = Mid;
else L = mid + 1;
printf ("%d\n", L);
return 0;
}