package no96; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Comparator; import java.util.HashMap; import java.util.NoSuchElementException; public class Main { public static void main(String[] args) { IO io = new IO(); int n = io.nextInt(); if (n == 0) { System.out.println(1); return; } Vector2[] r = new Vector2[n]; HashMap hm = new HashMap<>(); for(int i=0;i 100) { continue; } long hash = hash(r[i].x+x,r[i].y+y); if (hm.containsKey(hash)) { uf.union(i, hm.get(hash)); } } } } long maxSq = 0; ArrayList> groups = uf.groups(); for(ArrayList group:groups) { Vector2[] p = new Vector2[group.size()]; for(int i=0;i convex = Vector2.convexHull(p); maxSq = Math.max(maxSq, Vector2.convexDiameterSqrt(convex)); } } System.out.println(Math.sqrt(maxSq) + 2); } public static long hash(int x,int y) { return (x+10500)*30000+(y+10500); } } class Vector2 { int x = 0; int y = 0; public Vector2(int x,int y) { this.x = x; this.y = y; } public int dot(Vector2 v) { return this.x*v.x+this.y*v.y; } public int cross(Vector2 v) { return this.x*v.y-this.y*v.x; } public Vector2 add(Vector2 v) { return new Vector2(this.x+v.x,this.y+v.y); } public Vector2 subtract(Vector2 v) { return new Vector2(this.x-v.x,this.y-v.y); } public Vector2 multiply(int k) { return new Vector2(k*this.x,k*this.y); } public long normSquare() { return x * x + y * y; } public long distSquare(Vector2 v) { return this.subtract(v).normSquare(); } public static boolean intersects(Vector2 p0,Vector2 p1,Vector2 p2,Vector2 p3) { Vector2 v1 = p1.subtract(p0); Vector2 v2 = p3.subtract(p2); Vector2 v = p2.subtract(p0); Vector2 v_ = p2.subtract(p1); int a = v1.cross(v2); if(a==0) { return v.cross(v_) == 0 && (v.dot(v_) <= 0 || p0.subtract(p2).dot(p0.subtract(p3)) <= 0); }else{ int a1 = -v1.cross(v); int a2 = -v2.cross(v); if (a>0) { return (0<=a1&&a1<=a&&0<=a2&&a2<=a); }else{ return (a<=a1&&a1<=0&&a<=a2&&a2<=0); } } } public static ArrayList convexHull(Vector2[] p) { int n = p.length; Arrays.sort(p,new LexicographicalComp()); int k = 0; ArrayList q = new ArrayList(); for(int i=0;i 1 && q.get(k-1).subtract(q.get(k-2)).cross(p[i].subtract(q.get(k-1))) <= 0) { k--; } q.add(p[i]); k++; } for(int i=n-2, t=k;i>=0;i--) { while(k > t && q.get(k-1).subtract(q.get(k-2)).cross(p[i].subtract(q.get(k-1))) <= 0) { k--; } q.add(p[i]); k++; } return q; } public static long convexDiameterSqrt(ArrayList convex) { int n = convex.size(); int is = 0, js = 0; for(int i=1; i convex.get(js).y) { is = i; } if (convex.get(i).y < convex.get(js).y) { js = i; } } long maxd = convex.get(is).distSquare(convex.get(js)); int i, j; //maxi, maxj i = is; //maxi = is; j = js; //maxj = js; do { Vector2 vi = convex.get(i); Vector2 vid = convex.get((i+1)%n).subtract(vi); Vector2 vj = convex.get(j); Vector2 vjd = convex.get((j+1)%n).subtract(vj); if (vid.cross(vjd) >= 0) { j = (j+1)%n; }else{ i = (i+1)%n; } long dist = vi.distSquare(vj); if (dist >= maxd) { maxd = dist; //maxi = i; maxj = j; } } while (i != is || j != js); return maxd; } public String toString() { return this.x + " " + this.y; } public static class LexicographicalComp implements Comparator{ public int compare(Vector2 o1, Vector2 o2) { if (o1.x != o2.x) { return Integer.compare(o1.x, o2.x); } return Integer.compare(o1.y, o2.y); } } } class UnionFind { private int[] data; public UnionFind(int size) { data = new int[size]; Arrays.fill(data, -1); } public void union(int x,int y) { x = root(x); y = root(y); if (x!=y) { if (data[y] < data[x]) { int tmp = y; y = x; x = tmp; } data[x] += data[y]; data[y] = x; } } public boolean isConnected(int x,int y) { return root(x)==root(y); } private int root(int x) { return data[x] < 0 ? x : (data[x] = root(data[x])); } public int size(int x) { return -data[root(x)]; } public ArrayList> groups() { int n = data.length; ArrayList> g = new ArrayList>(); HashMap hm = new HashMap(); for(int i=0;i()); } g.get(hm.get(r)).add(i); } return g; } public String toString() { return Arrays.toString(data); } } class IO { private final InputStream in; private final PrintWriter out = new PrintWriter(System.out); private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; public IO() { this(System.in);} public IO(InputStream source) { this.in = source;} private boolean hasNextByte() { if (ptr < buflen) { return true; }else{ ptr = 0; try { buflen = in.read(buffer); } catch (IOException e) { e.printStackTrace(); } if (buflen <= 0) { return false; } } return true; } private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;} private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;} private static boolean isNewLine(int c) { return c == '\n' || c == '\r';} private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;} private void skipNewLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++;} public boolean hasNext() { skipUnprintable(); return hasNextByte();} public boolean hasNextLine() { skipNewLine(); return hasNextByte();} public String next() { if (!hasNext()) { throw new NoSuchElementException(); } StringBuilder sb = new StringBuilder(); int b = readByte(); while(isPrintableChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public String nextLine() { if (!hasNextLine()) { throw new NoSuchElementException(); } StringBuilder sb = new StringBuilder(); int b = readByte(); while(!isNewLine(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public long nextLong() { if (!hasNext()) { throw new NoSuchElementException(); } long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } while(true){ if ('0' <= b && b <= '9') { n *= 10; n += b - '0'; }else{ return minus ? -n : n; } b = readByte(); } } public int nextInt() { long nl = nextLong(); if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) { throw new NumberFormatException(); } return (int) nl; } public char nextChar() { if (!hasNext()) { throw new NoSuchElementException(); } return (char) readByte(); } public double nextDouble() { return Double.parseDouble(next());} public int[] arrayInt(int n) { int[] a = new int[n]; for(int i=0;i