【BZOJ 4581】【Usaco2016 Open】Field Reduction

http://www.lydsy.com/JudgeOnline/problem.php?id=4581

考虑\(O(n^3)\)暴力。

实际上枚举最靠边的三个点就可以了,最多有12个点。

还是暴力= =

【BZOJ 4581】【Usaco2016 Open】Field Reduction

#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
typedef long long ll; const int N = 50003;
int x[N], y[N], id[N], n, minx, maxx, miny, maxy, ansminx, ansmaxx, ansminy, ansmaxy, a[N], tot = 0; bool cmpx(int X, int Y) {return x[X] < x[Y];}
bool cmpy(int X, int Y) {return y[X] < y[Y];} int main() {
scanf("%d", &n);
for (int i = 1; i <= n; ++i)
scanf("%d%d", x + i, y + i);
for (int i = 1; i <= n; ++i) id[i] = i;
minx = miny = 0x7fffffff; maxx = maxy = -0x7fffffff; stable_sort(id + 1, id + n + 1, cmpx);
minx = min(minx, x[id[4]]);
maxx = max(maxx, x[id[n - 3]]);
for (int i = 0; i < 3; ++i) {
a[++tot] = id[1 + i];
a[++tot] = id[n - i];
} stable_sort(id + 1, id + n + 1, cmpy);
miny = min(miny, y[id[4]]);
maxy = max(maxy, y[id[n - 3]]);
for (int i = 0; i < 3; ++i) {
a[++tot] = id[1 + i];
a[++tot] = id[n - i];
} stable_sort(a + 1, a + tot + 1);
tot = unique(a + 1, a + tot + 1) - a; ll ans = -1;
for (int i = 1; i < tot; ++i)
for (int j = i + 1; j < tot; ++j)
for (int k = j + 1; k < tot; ++k) {
ansminx = minx;
ansmaxx = maxx;
ansminy = miny;
ansmaxy = maxy;
for (int tmp = 1; tmp < tot; ++tmp)
if (tmp != i && tmp != j && tmp != k) {
ansminx = min(ansminx, x[a[tmp]]);
ansmaxx = max(ansmaxx, x[a[tmp]]);
ansminy = min(ansminy, y[a[tmp]]);
ansmaxy = max(ansmaxy, y[a[tmp]]);
}
if ((ansminx >= ansmaxx) || (ansminy >= ansmaxy))
ans = 0;
else
if (ans == -1)
ans = 1ll * (ansmaxx - ansminx) * (ansmaxy - ansminy);
else
ans = min(ans, 1ll * (ansmaxx - ansminx) * (ansmaxy - ansminy));
} printf("%lld\n", ans);
return 0;
}
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