1 #include<cstdio>
2 #include<cstring>
3 #include<cmath>
4 #include<ctime>
5 #include<iostream>
6 #include<algorithm>
7 #include<queue>
8 #include<set>
9 #define inf (0x7fffffff)
10 #define l(a) ((a)<<1)
11 #define r(a) ((a)<<1|1)
12 #define b(a) (1<<(a))
13 #define T_min (1e-8)
14 #define R (0.99999)
15 #define e (2.718281828459045)
16 #define pi (3.14159265358979323846)
17 #define rep(i,a,b) for(int i=a;i<=(b);i++)
18 #define clr(a) memset(a,0,sizeof(a))
19 typedef long long ll;
20 typedef unsigned long long ull;
21 using namespace std;
22 int readint(){
23 int t=0,f=1;char c=getchar();
24 while(!isdigit(c)){
25 if(c=='-') f=-1;
26 c=getchar();
27 }
28 while(isdigit(c)){
29 t=(t<<3)+(t<<1)+c-'0';
30 c=getchar();
31 }
32 return t*f;
33 }
34 const int maxn=200009;
35 int n,opt,tmp,pre,del,path[2][maxn];
36 double T=1e5,d[maxn];
37 struct node{
38 double x,y;
39 inline bool operator<(const node A)const{
40 return x<A.x||(x==A.x&&y<A.y);
41 }
42 }X[maxn];
43 int dis(int i,int j){
44 return int(sqrt((X[i].x-X[j].x)*(X[i].x-X[j].x)+(X[i].y-X[j].y)*(X[i].y-X[j].y)));
45 }
46 int f(int t){
47 int s=0;
48 rep(i,2,n+1) s+=dis(path[t][i-1],path[t][i]);
49 return s;
50 }
51 void newway(){
52 int type=rand()%3,a=rand()%(n-1),b=rand()%(n-1);
53 while(a==b) a=rand()%(n-1);a+=2;b+=2;
54 if(a>b) swap(a,b);
55 if(type==0){
56 rep(i,1,n+1) path[opt^1][i]=path[opt][i];
57 swap(path[opt^1][a],path[opt^1][b]);
58 }else if(type==1){
59 rep(i,1,a-1) path[opt^1][i]=path[opt][i];
60 rep(i,a,b) path[opt^1][i]=path[opt][a-i+b];
61 rep(i,b+1,n+1) path[opt^1][i]=path[opt][i];
62 }else{
63 rep(i,1,a-1) path[opt^1][i]=path[opt][i];
64 path[opt^1][a]=path[opt][b];
65 rep(i,a+1,b) path[opt^1][i]=path[opt][i-1];
66 rep(i,b+1,n+1) path[opt^1][i]=path[opt][i];
67 }
68 }
69 void cal(){
70 int ans,cnt=0;
71 srand(time(NULL));
72 rep(i,1,n) path[opt][i]=i;path[opt][n+1]=1;ans=pre=f(opt);
73 while(T>T_min){
74 cnt++;if(cnt>1e6) break;
75 newway();
76 tmp=f(opt^1);del=tmp-pre;
77 ans=min(ans,tmp);
78 if(del<0){
79 opt^=1;pre=tmp;
80 }else if(rand()*rand()/32767.0/32767.0<pow(e,-del/T)){
81 opt^=1;pre=tmp;
82 }
83 T*=R;
84 }
85 cout<<cnt<<endl;
86 printf("%d\n",ans);
87 }
88 int main(){
89 freopen("#input.txt","r",stdin);
90 //freopen("#output.txt","w",stdout);
91 n=readint();
92 rep(i,1,n){
93 X[i].x=readint();X[i].y=readint();
94 }
95 cal();
96 fclose(stdin);
97 //fclose(stdout);
98 return 0;
99 }
