AtCoder Beginner Contest 178 E

E - Dist Max 曼哈顿距离最大点对

\(ans = max(|x_i-x_j|+|y_i-y_j|)\)

考虑去绝对值，4种情况。sort一下取max即可。

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 2e5+10;
 
int x[N],y[N];
int p[4][N];
int main()
{
    ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);
    int n;
    cin>>n;
    for(int i = 1;i <= n;i++)
    {
        cin>>x[i]>>y[i];
        p[0][i]=x[i]+y[i];
        p[1][i]=-x[i]+y[i];
        p[2][i]=x[i]-y[i];
        p[3][i]=-x[i]-y[i];
    }
    for(int i = 0;i < 4; i++)sort(p[i]+1,p[i]+1+n);
    int mx = 0;
    for(int i = 0;i < 4; i++)
    {
        mx = max(mx,p[i][n]-p[i][1]);
    }
    cout<<mx<<endl;
    return 0;
}