#include <bits/stdc++.h>
using namespace std;
#define mod 9973
struct meh
{
    int x,y;
}a[100001];
double Min;
int n;
bool cmp1(meh a,meh b)
{
    return (a.x<b.x || (a.x==b.x && a.y<b.y));
}
bool cmp2(meh a,meh b)
{
    return (a.x>b.x || (a.x==b.x && a.y>b.y));
}

double d(meh a,meh b)
{
    return sqrt(pow(a.x-b.x,2)+pow(a.y-b.y,2));
}
void cit()
{
    freopen("cmap.in","r",stdin);
    freopen("cmap.out","w",stdout);
}
int main()
{
   cit();
    Min=999999999;
    scanf("%d",&n);
    for(int i=1;i<=n;i++)
        scanf("%d %d",&a[i].x,&a[i].y);

    sort(a+1,a+n+1,cmp1);

    for(int i=2;i<=n;i++)
        Min=min(Min,d(a[i],a[i-1]));

    sort(a+1,a+n+1,cmp2);
    for(int i=2;i<=n;i++)
         Min=min(Min,d(a[i],a[i-1]));
    printf("%lf",Min);
    return 0;


}