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| #include <bits/stdc++.h>
#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")
using namespace std;
struct PairHash {inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }};
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);
using ll = long long;
using ld = long double;
const ld PI = 3.14159265358979323846;
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 1010101;
const ll mod = 1e9 + 7;
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;
typedef unordered_map<pll, ll, PairHash> umpll;
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define sz(x) ll((x).size())
#define pyes cout<<"YES\n";
#define pno cout<<"NO\n";
#define pneg1 cout<<"-1\n";
#define CASE(x) cout<<"Case #"<<x<<": ";
template <typename T>
void print(T &&t) { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<" ";cout<<"\n";}
ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
ll __lcm(ll x, ll y) { return x * y / __gcd(x,y); }
ll modpow(ll n, ll x, ll MOD = mod) { if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }
struct Point {
ll x, y;
void input() {
cin>>x>>y;
}
bool operator==(const Point &other) const {
return x == other.x and y == other.y;
}
Point operator-(const Point &other) const {
return {x - other.x, y - other.y};
}
bool operator<(const Point &other) const {
if (x == other.x) return y < other.y;
return x < other.x;
}
ll norm() { return x * x + y * y; }
};
ll dist(Point &a, Point &b) {
return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
}
ll manhatanDist(Point &a, Point &b) {
return abs(a.x - b.x) + abs(a.y - b.y);
}
vector<Point> p;
ll ccw(Point &a, Point &b, Point &c) {
ll res = a.x * b.y + b.x * c.y + c.x * a.y;
res -= (a.x * c.y + b.x * a.y + c.x * b.y);
return res;
}
bool cmp(Point &a, Point &b) {
ll c = ccw(p[0], a, b);
if (c) return c > 0;
return dist(p[0], a) < dist(p[0], b);
}
vector<Point> convexHull() {
swap(p[0], *min_element(all(p)));
sort(begin(p) + 1, end(p), cmp);
vector<Point> st;
for (auto &pt: p) {
while (st.size() >= 2 and ccw(pt, st[st.size() - 2], st[st.size() - 1]) <= 0)
st.pop_back();
st.push_back(pt);
}
return st;
}
ll solve() {
auto hull = convexHull();
ll ma = 0, n = hull.size();
ll l = 0, r = 0;
for (ll i = 0; i < n; i++) {
if (hull[i].x < hull[l].x) l = i;
if (hull[i].x > hull[r].x) r = i;
}
ma = max(ma, manhatanDist(hull[l], hull[r]));
Point o{0, 0};
for (ll i = 0; i < n; i++) {
auto R = hull[r] - hull[(r + 1) % n];
auto L = hull[(l + 1) % n] - hull[l];
if (ccw(o, L, R) > 0) {
l = (l + 1) % n;
} else {
r = (r + 1) % n;
}
ll dis = manhatanDist(hull[l], hull[r]);
ma = max(ma, dis);
}
return ma;
}
int main() {
Code By Sumfi
cout.precision(12);
ll tc = 1;
for (ll i = 1; i <= tc; i++) {
ll n;
cin>>n;
p = vector<Point>(n);
rep(i,0,n) p[i].input();
print(solve());
}
return 0;
}
|
