#include <cstdio>
#include <cmath>

typedef double f64;

f64 INF=1e10;

struct Punct
{
    f64 x, y;

    Punct()
    {
        x=y=0;
    }
};

Punct v[100000], aux[100000];

f64 dist( Punct a, Punct b )
{
    return sqrt((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y));
}

void interclasare( int st, int mid, int dr )
{
    int i=st, n=mid, j=mid, m=dr, k=0;

    while( i<n || j<m )
    {
        if( i<n && j<m && v[i].x<v[j].x )
        {
            aux[k]=v[i];
            i++;
        }
        else
            if( i<n && j<m )
            {
                aux[k]=v[j];
                j++;
            }
            else
                if( i<n )
                {
                    aux[k]=v[i];
                    i++;
                }
                else
                {
                    aux[k]=v[j];
                    j++;
                }

        k++;
    }

    for( i=st;i<dr;i++ )
        v[i]=aux[i-st];
}

f64 min( f64 a, f64 b )
{
    if( a>b )
        a=b;

    return a;
}

f64 cmap( int st, int dr )
{
    int med=(st+dr)/2, i, j;

    if( dr-st==1 )
        return INF;
    else
        if( dr-st==2 )
        {
            interclasare(st,st+1,dr);

            return dist(v[st],v[st+1]);
        }

    f64 d=min(cmap(st,med),cmap(med,dr));

    interclasare(st,med,dr);

    for( i=st;i<dr;i++ )
        for( j=i+1;j<i+6;j++ )
            d=min(d,dist(v[i],v[j]));

    return d;
}

int main()
{
    freopen( "cmap.in", "r", stdin );
    freopen( "cmap.out", "w", stdout );

    int n, i;

    scanf( "%d", &n );

    for( i=0;i<n;i++ )
        scanf( "%lf%lf", &v[i].x, &v[i].y );

    printf( "%f", cmap(0,n) );

    return 0;
}