#include <bits/stdc++.h>
#define int long long
using namespace std;
ifstream fi("gradina.in");
ofstream fo("gradina.out");
const int NMAX = 300;
struct punct
{
int x, y;
};
struct punctS
{
punct M;
int poz;
};
bool operator <(const punct &a, const punct &b)
{
if (a.x != b.x)
return a.x < b.x;
return a.y < b.y;
}
bool operator <(const punctS &a, const punctS &b)
{
return a.M < b.M;
}
punctS P[NMAX];
punct sus[NMAX], jos[NMAX];
int cntSus, cntJos;
int n;
punct stivaSus[NMAX], stivaJos[NMAX];
int kSus, kJos;
bool afara;
int verifica(punct A, punct B, punct C)
{
return A.x * (B.y - C.y) + B.x * (C.y - A.y) + C.x * (A.y - B.y);
}
long double faTot(punct A[NMAX], int n) // returneaza aria
{
if (n == 2)
return 0;
kJos = 0;
kSus = 0;
stivaSus[++kSus] = A[1];
stivaJos[++kJos] = A[1];
for (int i = 2; i <= n; i++)
{
if (verifica(A[1], A[n], A[i]) > 0 || i == n) // sus
{
while (kSus >= 2 && verifica(stivaSus[kSus - 1], stivaSus[kSus], A[i]) > 0)
kSus--, afara = 1;
stivaSus[++kSus] = A[i];
}
if (verifica(A[1], A[n], A[i]) < 0 || i == n) // jos
{
while (kJos >= 2 && verifica(stivaJos[kJos - 1], stivaJos[kJos], A[i]) < 0)
kJos--, afara = 1;
stivaJos[++kJos] = A[i];
}
}
vector <punct> poligon;
for (int i = 1; i <= kSus; i++)
poligon.push_back(stivaSus[i]);
for (int i = kJos - 1; i >= 1; i--)
poligon.push_back(stivaJos[i]);
long double ret = 0;
int l = poligon.size();
for (int i = 1; i < l; i++)
{
ret += (poligon[i - 1].x * poligon[i].y - poligon[i].x * poligon[i - 1].y);
}
ret = ret / 2.00;
return abs(ret);
}
signed main()
{
fi >> n;
for (int i = 1; i <= n; i++)
{
fi >> P[i].M.x >> P[i].M.y, P[i].poz = i;
P[i].M.x += 50000000;
P[i].M.y += 50000000;
}
sort(P + 1, P + n + 1);
long double minim = 2000000000;
string configOptim = "";
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= n; j++)
{
if (i == j)
continue;
// i la ion, j la domnu vasile
punct baza, varf; // baza=punctul care e mai in stanga
if (P[j] < P[i])
baza = P[j].M, varf = P[i].M;
else
baza = P[i].M, varf = P[j].M;
cntSus = cntJos = 0;
// sus punem J, jos punem I
string config = "";
config.resize(n);
for (int k = 1; k <= n; k++)
{
if ((verifica(baza, varf, P[k].M) > 0 && k != i) || k == j) // e sus, la Vasile
{
sus[++cntSus] = P[k].M;
config[P[k].poz - 1] = 'V';
}
else
{
jos[++cntJos] = P[k].M;
config[P[k].poz - 1] = 'I';
}
}
afara = 0;
long double a1 = faTot(sus, cntSus);
if (afara)
continue;
afara = 0;
long double a2 = faTot(jos, cntJos);
if (afara)
continue;
//for (int i = 1; i <= cntJos; i++)
//cout << jos[i].x << ", " << jos[i].y << "\n";
string opus = "";
for (auto pp: config)
opus += (pp == 'I' ? 'V' : 'I');
if (abs(a2 - a1) < minim || (abs(a2 - a1) == minim && (config < configOptim || opus < configOptim)))
{
minim = abs(a2 - a1);
configOptim = min(config, opus);
}
}
}
fo << fixed << setprecision(1) << minim << "\n" << configOptim;
return 0;
}
/*
#include <cstdio>
#include <algorithm>
using namespace std;
struct Points
{
int x,y,ind;
};
Points v[255];
Points s1[255];
Points s2[255];
Points p1[255];
Points p2[255];
bool sol[255];
bool ans[255];
bool cmp1(Points P1, Points P2)
{
if(P1.x==P2.x)
return P1.y<P2.y;
return P1.x<P2.x;
}
bool cmp2(Points P1, Points P2)
{
if(P1.x==P2.x)
return P1.y>P2.y;
return P1.x<P2.x;
}
long long det(Points P1, Points P2, Points P3)
{
return (P2.x-P1.x)*1LL*(P3.y-P1.y)-(P2.y-P1.y)*1LL*(P3.x-P1.x);
}
long long arie(Points a[], int n)
{
long long ar=0;
Points LL;
LL.x=LL.y=0;
int i;
for(i=2; i<=n; i++)
ar+=det(LL, a[i-1], a[i]);
ar+=det(LL, a[n], a[1]);
return ar;
}
int main()
{ freopen("gradina.in", "r",stdin);
freopen("gradina.out", "w",stdout);
int n,i,j,k,top1,top2,ok,n1,n2;
long long ar1,ar2,minn=1000000000000000000;
scanf("%d", &n);
for(i=1; i<=n; i++){
scanf("%d%d", &v[i].x, &v[i].y);
v[i].ind=i;
s1[i]=v[i];
s2[i]=v[i];
}
sort(s1+1, s1+n+1,cmp1);
sort(s2+1, s2+n+1,cmp2);
for(i=1; i<=n; i++){
for(j=i+1; j<=n; j++){
top1=top2=0;
ok=0;
for(k=1; k<=n; k++){
if(det(v[i], v[j], s1[k])>0){
while(top1>=2 && det(p1[top1-1], p1[top1], s1[k])<0)
top1--;
p1[++top1]=s1[k];
}
else{
if(det(v[i], v[j], s1[k])==0){
if(ok==1){
while(top2>=2 && det(p2[top2-1], p2[top2], s1[k])<0)
top2--;
p2[++top2]=s1[k];
}
else{
while(top1>=2 && det(p1[top1-1], p1[top1], s1[k])<0)
top1--;
p1[++top1]=s1[k];
ok=1;
}
}
else{
while(top2>=2 && det(p2[top2-1], p2[top2], s1[k])<0)
top2--;
p2[++top2]=s1[k];
}
}
}
n1=top1;
n2=top2;
ok=0;
for(k=1; k<=n; k++){
if(det(v[i], v[j], s2[k])>0){
while(top1>=n1+2 && det(p1[top1-1], p1[top1], s2[k])>0)
top1--;
p1[++top1]=s2[k];
}
else{
if(det(v[i], v[j], s2[k])==0){
if(ok==1){
while(top2>=n2+2 && det(p2[top2-1], p2[top2], s2[k])>0)
top2--;
p2[++top2]=s2[k];
}
else{
while(top1>=n1+2 && det(p1[top1-1], p1[top1], s2[k])>0)
top1--;
p1[++top1]=s2[k];
ok=1;
}
}
else{
while(top2>=n2+2 && det(p2[top2-1], p2[top2], s2[k])>0)
top2--;
p2[++top2]=s2[k];
}
}
}
if(p1[top1].x==p1[top1-1].x)
top1-=2;
else
top1--;
reverse(p1+n1+1, p1+top1+1);
if(p1[1].ind==p1[top1].ind)
top1--;
if(p2[top2].x==p2[top2-1].x)
top2-=2;
else
top2--;
reverse(p2+n2+1, p2+top2+1);
if(p2[1].ind==p2[top2].ind)
top2--;
if(top1+top2==n){
ar1=arie(p1, top1);
ar2=arie(p2, top2);
ok=0;
if(abs(ar1-ar2)<minn){
minn=abs(ar1-ar2);
for(k=1; k<=top1; k++)
ans[p1[k].ind]=0;
for(k=1; k<=top2; k++)
ans[p2[k].ind]=1;
if(ans[1]==1)
ok=1;
for(k=1; k<=n; k++)
sol[k]=(ans[k]+ok)%2;
}
else
if(abs(ar1-ar2)==minn){
for(k=1; k<=n && sol[k]==(ans[k]+ok)%2; k++);
if(sol[k]>(ans[k]+ok)%2)
for(; k<=n; k++)
sol[k]=(ans[k]+ok)%2;
}
}
top1=top2=0;
ok=1;
for(k=1; k<=n; k++){
if(det(v[i], v[j], s1[k])>0){
while(top1>=2 && det(p1[top1-1], p1[top1], s1[k])<0)
top1--;
p1[++top1]=s1[k];
}
else{
if(det(v[i], v[j], s1[k])==0){
if(ok==1){
while(top2>=2 && det(p2[top2-1], p2[top2], s1[k])<0)
top2--;
p2[++top2]=s1[k];
ok=0;
}
else{
while(top1>=2 && det(p1[top1-1], p1[top1], s1[k])<0)
top1--;
p1[++top1]=s1[k];
}
}
else{
while(top2>=2 && det(p2[top2-1], p2[top2], s1[k])<0)
top2--;
p2[++top2]=s1[k];
}
}
}
n1=top1;
n2=top2;
ok=1;
for(k=1; k<=n; k++){
if(det(v[i], v[j], s2[k])>0){
while(top1>=n1+2 && det(p1[top1-1], p1[top1], s2[k])>0)
top1--;
p1[++top1]=s2[k];
}
else{
if(det(v[i], v[j], s2[k])==0){
if(ok==1){
while(top2>=n2+2 && det(p2[top2-1], p2[top2], s2[k])>0)
top2--;
p2[++top2]=s2[k];
ok=0;
}
else{
while(top1>=n1+2 && det(p1[top1-1], p1[top1], s2[k])>0)
top1--;
p1[++top1]=s2[k];
}
}
else{
while(top2>=n2+2 && det(p2[top2-1], p2[top2], s2[k])>0)
top2--;
p2[++top2]=s2[k];
}
}
}
if(p1[top1].x==p1[top1-1].x)
top1-=2;
else
top1--;
reverse(p1+n1+1, p1+top1+1);
if(p1[1].ind==p1[top1].ind)
top1--;
if(p2[top2].x==p2[top2-1].x)
top2-=2;
else
top2--;
reverse(p2+n2+1, p2+top2+1);
if(p2[1].ind==p2[top2].ind)
top2--;
if(top1+top2==n){
ar1=arie(p1, top1);
ar2=arie(p2, top2);
ok=0;
if(abs(ar1-ar2)<minn){
minn=abs(ar1-ar2);
for(k=1; k<=top1; k++)
ans[p1[k].ind]=0;
for(k=1; k<=top2; k++)
ans[p2[k].ind]=1;
if(ans[1]==1)
ok=1;
for(k=1; k<=n; k++)
sol[k]=(ans[k]+ok)%2;
}
else
if(abs(ar1-ar2)==minn){
for(k=1; k<=n && sol[k]==(ans[k]+ok)%2; k++);
if(sol[k]>(ans[k]+ok)%2)
for(; k<=n; k++)
sol[k]=(ans[k]+ok)%2;
}
}
}
}
if(minn%2==0)
printf("%lld.0\n", minn/2);
else
printf("%lld.5\n", minn/2);
for(i=1; i<=n; i++){
if(sol[i]==0)
printf("I");
else
printf("V");
}
return 0;
}
*/
/*
#include <bits/stdc++.h>
using namespace std;
ofstream fo("gradina.in");
int main()
{
srand(time(NULL));
int n = rand() % 5 + 5;
fo << n << "\n";
for (int i = 1; i <= n; i++)
{
int x = (rand() % 10);
int semn = rand() % 2;
if (semn == 0)
x = -x;
int y = (rand() % 10);
semn = rand() % 2;
if (semn == 0)
y = -y;
fo << x << " " << y << "\n";
}
return 0;
}*/