import std.algorithm, std.conv, std.range, std.stdio, std.string; import std.math; void main() { auto n = readln.chomp.to!size_t; auto pi = n.iota.map!(_ => readln.split.to!(int[])).map!(rd => point(rd[0], rd[1])).array; if (n == 0) { writeln(1); return; } auto minX = pi.map!"a.x".minElement; auto minY = pi.map!"a.y".minElement; foreach (ref p; pi) { p.x -= minX; p.y -= minY; } auto maxX = pi.map!"a.x".maxElement, maxBx = maxX / 10; auto maxY = pi.map!"a.y".maxElement, maxBy = maxY / 10; auto bucket = new size_t[][][](maxBy + 1, maxBx + 1); foreach (i, p; pi) bucket[p.y / 10][p.x / 10] ~= i; auto uf = UnionFind!size_t(n); foreach (i, p; pi) for (auto by = p.y / 10 - 1; by <= p.y / 10 + 1; ++by) for (auto bx = p.x / 10 - 1; bx <= p.x / 10 + 1; ++bx) { if (bx < 0 || bx > maxBx || by < 0 || by > maxBy) continue; foreach (ti; bucket[by][bx]) { if (i >= ti || (p - pi[ti]).hypot2 > 100) continue; uf.unite(i, ti); } } auto gi = new size_t[][](n); foreach (i; 0..n) gi[uf.find(i)] ~= i; auto gpi = gi.filter!"!a.empty".map!(g => pi.indexed(g).array.convexHull); auto maxD = 0; foreach (gp; gpi) foreach (i; 0..gp.length) foreach (j; i+1..gp.length) maxD = max(maxD, (gp[i] - gp[j]).hypot2); writefln("%.7f", maxD.to!real.sqrt + 2); } struct UnionFind(T) { T[] p; // parent const T s; // sentinel this(T n) { p = new T[](n); s = n + 1; p[] = s; } T find(T i) { if (p[i] == s) { return i; } else { p[i] = find(p[i]); return p[i]; } } void unite(T i, T j) { auto pi = find(i), pj = find(j); if (pi != pj) p[pj] = pi; } } struct Point(T) { T x, y; pure auto opBinary(string op: "+")(Point!T rhs) const { return Point!T(x + rhs.x, y + rhs.y); } pure auto opBinary(string op: "-")(Point!T rhs) const { return Point!T(x - rhs.x, y - rhs.y); } pure auto opBinary(string op: "*")(Point!T rhs) const { return x * rhs.x + y * rhs.y; } pure auto opBinary(string op: "*")(T a) const { return Point!T(x * a, y * a); } pure auto hypot2() const { return x ^^ 2 + y ^^ 2; } } alias Point!int point; Point!T[] convexHull(T)(Point!T[] pi) { if (pi.length <= 2) return pi; auto cross(Point!T a, Point!T b, Point!T o) { return (a.x - o.x) * (b.y - o.y) - (a.y - o.y) * (b.x - o.x); } pi.sort!"a.x == b.x ? a.y < b.y : a.x < b.x"; Point!T[] lower; foreach (p; pi) { while (lower.length >= 2 && cross(lower[$-2], lower[$-1], p) <= 0) lower.length -= 1; lower ~= p; } Point!T[] upper; foreach_reverse (p; pi) { while (upper.length >= 2 && cross(upper[$-2], upper[$-1], p) <= 0) upper.length -= 1; upper ~= p; } return (lower.dropBackOne ~ upper.dropBackOne).array; }