#include <stdio.h>
#include <algorithm>
#include <math.h>
 
const int dmax = 100000;
unsigned const long long INF = (1ULL << 64) - 1;
 
struct point
{
    long long x,y;
};
 
int n;
point pointsY[dmax];
point pointsL[dmax];
 
bool cmpX(point a, point b)
{
    if (a.x == b.x)
        return a.y < b.y;
    return a.x < b.x;
}
 
bool cmpY(point a, point b)
{
    if (a.y == b.y)
        return a.x < b.x;
    return a.y < b.y;
}
 
double distance(point a, point b)
{
    return (b.x - a.x)*(b.x - a.x) + (b.y - a.y)*(b.y - a.y);
}

double min_dist(int first, int last)
{
    double best_distance = INF;
    double dist;
    int point_nr, mid, i, j;
 
    ///caz oprire
    point_nr = last - first + 1;
    if (point_nr == 2)
        return distance(pointsY[first],pointsY[last]);
    
    ///divide: dupa o axa orizontala
    mid = first + (last - first)/2;
    best_distance = std::min(min_dist(first,mid), min_dist(mid,last));
    
    ///combina
    //iau in considerare doar punctele cu ordonata intre u_bound si l_bound
    int u_bound = pointsY[mid].y + (int)sqrt(best_distance);
    int l_bound = pointsY[mid].y - (int)sqrt(best_distance);
    //pun aceste puncte in vectorul Lsize
    int Lsize = 0;
    for (i = first; i<=last; i++)
    {
        if (pointsY[i].y <= u_bound && pointsY[i].y >= l_bound)
            pointsL[Lsize++] = pointsY[i];
    }
    std::sort(pointsL,pointsL+Lsize,cmpX);
    for (i = 0; i < Lsize - 1; i++)
    {
        j = i + 1;
        int count = 1;
        while (j < Lsize && count < 8)
        {
            dist = distance(pointsL[i],pointsL[j]);
            if (dist < best_distance)
                best_distance = dist;
            count++;
            j++;
        }
    }
    
    return best_distance;
}
 
int main()
{
    FILE *f;
    int i;
 
    f=fopen("cmap.in","r");
    fscanf(f,"%d",&n);
    for (i=0; i<n; i++)
        fscanf(f,"%lld%lld",&pointsY[i].x,&pointsY[i].y);
    fclose(f);
 
    std::sort(pointsY,pointsY+n,cmpY);
 
    double ans = min_dist(0,n - 1);
    ans = sqrt(ans);
    f=fopen("cmap.out","w");
    fprintf(f,"%f",ans);
    fclose(f);
 
    return 0;
}