[USACO2004OPEN]Cave Cows 3
阿新 • • 發佈:2018-12-20
嘟嘟嘟
看完題後突然想起jf巨佬的話:“看到曼哈頓距離就想轉切比雪夫距離。”
於是我就轉換了一下。
然後問題變成了求
\[max_{i, j \in n} \{ max \{ |x_i - x_j|, |y_i - y_j| \} \}\]
令差最大,只要分別找出\(x, y\)的最小值和最大值即可。
\(O(n)\)掃一遍啦。
#include<cstdio> #include<iostream> #include<cmath> #include<algorithm> #include<cstring> #include<cstdlib> #include<cctype> #include<vector> #include<stack> #include<queue> using namespace std; #define enter puts("") #define space putchar(' ') #define Mem(a, x) memset(a, x, sizeof(a)) #define In inline typedef long long ll; typedef double db; const int INF = 0x3f3f3f3f; const db eps = 1e-8; const int maxn = 5e4 + 5; inline ll read() { ll ans = 0; char ch = getchar(), last = ' '; while(!isdigit(ch)) {last = ch; ch = getchar();} while(isdigit(ch)) {ans = (ans << 1) + (ans << 3) + ch - '0'; ch = getchar();} if(last == '-') ans = -ans; return ans; } inline void write(ll x) { if(x < 0) x = -x, putchar('-'); if(x >= 10) write(x / 10); putchar(x % 10 + '0'); } int n; struct Node { int x, y; }t[maxn]; int main() { n = read(); for(int i = 1; i <= n; ++i) { int x = read(), y = read(); t[i] = (Node){x + y, x - y}; } int Max = 1, May = 1, Mix = 1, Miy = 1; for(int i = 2; i <= n; ++i) { if(t[i].x < t[Mix].x) Mix = i; if(t[i].x > t[Max].x) Max = i; if(t[i].y < t[Miy].y) Miy = i; if(t[i].y > t[May].y) May = i; } write(max(t[Max].x - t[Mix].x, t[May].y - t[Miy].y)), enter; return 0; }