#include <fstream>
#include <cmath>
#include <algorithm>
#include <iomanip>

#define PII pair< int, int >
#define ll long long
#define mp make_pair
#define x first
#define y second
#define xdupay second

#define NMAX 100005
#define INF (1LL <<62)

using namespace std;

PII X[NMAX], Y[NMAX], Aux[NMAX];
int N, i, j, lg;

ifstream in("cmap.in");
ofstream out("cmap.out");

inline ll Dist( PII A, PII B )
{
	return ( A.x - B.x )*( A.x - B.x ) + ( A.y - B.y )*( A.y - B.y );
}

inline ll Sol( int St, int Dr )
{
	if( St >= Dr-1 ) return INF;
	else if( Dr == St + 2 )
	{
		if( Y[St] > Y[Dr - 1] ) swap( Y[St], Y[Dr - 1] );
		return Dist( X[St], X[Dr - 1] );
	}
	
	int M = ( St + Dr )/2;
	ll DistMin = min( Sol( St, M ), Sol( M, Dr ) );
	
	merge( Y + St, Y + M, Y + M, Y + Dr, Aux );
	copy( Aux, Aux + ( Dr - St ), Y + St );
	
	lg = 0;
	for( i = St; i < Dr; ++i )
		if( abs( X[M].x - Y[i].xdupay ) <= DistMin )
			Aux[ lg++ ] = Y[i];
	for( i = 0; i < lg - 1; ++i )
		for( j = i + 1; j < lg && j - i < 8; ++j )
			DistMin = min( DistMin, Dist( Aux[i], Aux[j] ) );
	
	return DistMin;
}

int main()
{
	in >> N;
	for( i = 0; i < N; ++i )
		in >> X[i].x >> X[i].y;
	
	sort( X, X + N );
	for( i = 0; i < N; ++i )
		Y[i] = mp( X[i].y, X[i].x );
	
	out << fixed << setprecision(6) << sqrt( (float)Sol( 0, N ) ) << '\n';
	
	return 0;
}