1 /**************************************************************
2 Problem: 1941
3 User: Tunix
4 Language: C++
5 Result: Accepted
6 Time:1484 ms
7 Memory:16900 kb
8 ****************************************************************/
9
10 //BZOJ 1941
11 #include<cstdio>
12 #include<cstring>
13 #include<cstdlib>
14 #include<iostream>
15 #include<algorithm>
16 #define rep(i,n) for(int i=0;i<n;++i)
17 #define F(i,j,n) for(int i=j;i<=n;++i)
18 #define D(i,j,n) for(int i=j;i>=n;--i)
19 #define pb push_back
20 using namespace std;
21 typedef long long LL;
22 inline int getint(){
23 int r=1,v=0; char ch=getchar();
24 for(;!isdigit(ch);ch=getchar()) if (ch==‘-‘) r=-1;
25 for(; isdigit(ch);ch=getchar()) v=v*10-‘0‘+ch;
26 return r*v;
27 }
28 const int N=500010,INF=1e9;
29 /*******************template********************/
30
31 struct node{
32 int d[2],mn[2],mx[2],l,r;
33 int& operator [] (int x){return d[x];}
34 void read(){d[0]=getint(); d[1]=getint();}
35 }t[N];
36 int n,m,D,root,tmp,ask_mx,ask_mn;
37 bool operator < (node a,node b){return a[D]<b[D];}
38 #define L t[o].l
39 #define R t[o].r
40 #define mid (l+r>>1)
41 void Push_up(int o){
42 F(i,0,1){
43 t[o].mn[i]=min(t[o].mn[i],min(t[L].mn[i],t[R].mn[i]));
44 t[o].mx[i]=max(t[o].mx[i],max(t[L].mx[i],t[R].mx[i]));
45 }
46 }
47
48 int build(int l,int r,int dir){
49 D=dir;
50 nth_element(t+l,t+mid,t+r+1);
51 int o=mid;
52 F(i,0,1) t[o].mn[i]=t[o].mx[i]=t[o][i];
53 if (l<mid) L=build(l,mid-1,dir^1);
54 if (mid<r) R=build(mid+1,r,dir^1);
55 Push_up(o);
56 return o;
57 }
58
59 int dis(int a){return abs(t[a][0]-t[tmp][0])+abs(t[a][1]-t[tmp][1]);}
60 int calc_mn(int o){
61 if (!o) return INF;
62 int ans=0;
63 F(i,0,1) ans+=max(0,t[o].mn[i]-t[tmp][i]);
64 F(i,0,1) ans+=max(0,t[tmp][i]-t[o].mx[i]);
65 return ans;
66 }
67
68 void query_mn(int o){
69 if (!o) return;
70 int dl=calc_mn(L),dr=calc_mn(R),d0=dis(o);
71 if (d0) ask_mn=min(ask_mn,d0);
72 if (dl<dr){
73 if (dl<ask_mn) query_mn(L);
74 if (dr<ask_mn) query_mn(R);
75 }else{
76 if (dr<ask_mn) query_mn(R);
77 if (dl<ask_mn) query_mn(L);
78 }
79 }
80
81 int calc_mx(int o){
82 if (!o) return -INF;
83 int ans=0;
84 F(i,0,1) ans+=max(abs(t[o].mn[i]-t[tmp][i]),abs(t[o].mx[i]-t[tmp][i]));
85 return ans;
86 }
87 void query_mx(int o){
88 if (!o) return;
89 int dl=calc_mx(L),dr=calc_mx(R),d0=dis(o);
90 ask_mx=max(ask_mx,d0);
91 if (dl>dr){
92 if (dl>ask_mx) query_mx(L);
93 if (dr>ask_mx) query_mx(R);
94 }else{
95 if (dr>ask_mx) query_mx(R);
96 if (dl>ask_mx) query_mx(L);
97 }
98 }
99
100 int main(){
101 #ifndef ONLINE_JUDGE
102 freopen("1941.in","r",stdin);
103 freopen("1941.out","w",stdout);
104 #endif
105 n=getint();
106 F(i,1,n) t[i].read();
107 F(i,0,1) t[0].mn[i]=INF,t[0].mx[i]=-INF;
108 root=build(1,n,1);
109 int ans=INF;
110 F(i,1,n){
111 ask_mn=INF; ask_mx=-INF;
112 tmp=i;
113 query_mn(root);
114 query_mx(root);
115 // printf("%d %d\n",ask_mx,ask_mn);
116 ans=min(ans,ask_mx-ask_mn);
117 }
118 printf("%d\n",ans);
119 return 0;
120 }